Metrics for Linear.V3:$cdot from linear-1.19.1.3, B

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.7%	0.3%	0%	0%	0%	0
100%	99.7%	0%	0.3%	0%	0%	0%	1

Compiler

Compiled 13 to 13 computations (0% saved)

sample968.0ms (19.7%)

Memory

40.6MiB live, 1 260.0MiB allocated

Samples

629.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 334.0ms

ival-mult: 212.0ms (63.5% of total)

ival-add: 113.0ms (33.8% of total)

ival-true: 6.0ms (1.8% of total)

ival-assert: 3.0ms (0.9% of total)

Bogosity

explain181.0ms (3.7%)

Memory

-13.2MiB live, 181.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
2	-	-	`(+.f64 (.f64 x y) (.f64 z t))`
2	-	-	`(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))`
0	-	-	`a`
0	-	-	`t`
0	-	-	`(*.f64 z t)`
0	-	-	`z`
0	-	-	`(*.f64 x y)`
0	-	-	`y`
0	-	-	`b`
0	-	-	`(*.f64 a b)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))`	nan-rescue	2	0
↳	`(*.f64 x y)`	overflow	35
↳	`(+.f64 (.f64 x y) (.f64 z t))`	overflow	61
↳	`(*.f64 z t)`	overflow	32
↳	`(*.f64 a b)`	overflow	34
`+.f64`	`(+.f64 (.f64 x y) (.f64 z t))`	nan-rescue	2	0
↳	`(*.f64 x y)`	overflow	35
↳	`(*.f64 z t)`	overflow	32

Confusion

	Predicted +	Predicted -
+	4	0
-	0	252

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	252
1	4

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

35.0ms

512×

valid

Compiler

Compiled 87 to 37 computations (57.5% saved)

Precisions

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

ival-mult: 10.0ms (66.7% of total)

ival-add: 4.0ms (26.7% of total)

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

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

preprocess106.0ms (2.2%)

Memory

30.3MiB live, 65.2MiB allocated

Algorithm

1×	egg-herbie

Rules

514×	`sub-neg`
398×	`unsub-neg`
354×	`associate--r+`
330×	`associate-+l-`
268×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	315
1	222	301
2	379	297
3	791	297
4	1531	297
5	2394	297
6	2925	297
7	2973	297
8	2975	297
9	2975	297
10	2975	297
11	2975	297
0	11	11
0	16	11
1	23	11
2	30	11
3	32	11
0	32	9

Stop Event

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

Calls

Call 1

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

Outputs
(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
(fma.f64 z t (fma.f64 x y (*.f64 a b)))

Symmetry

(sort x y)

(sort z t)

(sort a b)

Compiler

Compiled 17 to 11 computations (35.3% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 6 to 6 computations (0% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))

Compiler

Compiled 17 to 11 computations (35.3% saved)

simplify9.0ms (0.2%)

Memory

-23.7MiB live, 10.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 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))
cost-diff	128	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))

Rules

36×	`lower-fma.f64`
36×	`lower-fma.f32`
24×	`lower-+.f32`
20×	`lower-+.f64`
12×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	33
0	16	33
1	23	33
2	30	33
3	32	33
0	32	30

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
(fma.f64 z t (fma.f64 x y (*.f64 a b)))
(+.f64 (.f64 x y) (.f64 z t))
(fma.f64 x y (*.f64 z t))
(*.f64 x y)
x
y
(*.f64 z t)
z
t
(*.f64 a b)
a
b

localize35.0ms (0.7%)

Memory

17.6MiB live, 66.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	0	(*.f64 a b)
accuracy	0.40234375000000006	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
accuracy	0.45702918583020585	(+.f64 (.f64 x y) (.f64 z t))

Samples

22.0ms

256×

valid

Compiler

Compiled 35 to 13 computations (62.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 5.0ms (68.6% of total)

ival-add: 2.0ms (27.4% of total)

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

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

series14.0ms (0.3%)

Memory

-5.1MiB live, 31.2MiB allocated

Counts

5 → 192

Calls

Call 1

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

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

Calls

48 calls:

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

simplify246.0ms (5%)

Memory

-25.7MiB live, 264.1MiB allocated

Algorithm

1×	egg-herbie

Rules

9 200×	`lower-fma.f64`
9 200×	`lower-fma.f32`
3 162×	`lower-*.f64`
3 162×	`lower-*.f32`
1 122×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	1176
1	389	1176
2	1252	1176
3	3052	1176
4	6623	1176
0	8355	1026

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

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

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

rewrite348.0ms (7.1%)

Memory

31.8MiB live, 413.0MiB allocated

Rules

7 290×	`lower-fma.f64`
7 290×	`lower-fma.f32`
4 892×	`lower-*.f32`
4 886×	`lower-*.f64`
2 454×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
0	16	27
1	48	27
2	402	27
3	6038	27
0	8073	24

Stop Event

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

Counts

5 → 186

Calls

Call 1

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

Outputs
(+.f64 (.f64 x y) (fma.f64 z t (.f64 a b)))
(+.f64 (.f64 z t) (fma.f64 x y (.f64 a b)))
(+.f64 (fma.f64 z t (.f64 x y)) (.f64 a b))
(+.f64 (.f64 a b) (fma.f64 z t (.f64 x y)))
(+.f64 (fma.f64 z t (.f64 a b)) (.f64 x y))
(+.f64 (/.f64 (.f64 (fma.f64 z t (.f64 x y)) (fma.f64 z t (.f64 x y))) (-.f64 (fma.f64 z t (.f64 x y)) (.f64 a b))) (neg.f64 (/.f64 (.f64 a (.f64 a (.f64 b b))) (-.f64 (fma.f64 z t (.f64 x y)) (.f64 a b)))))
(+.f64 (fma.f64 x y (.f64 a b)) (.f64 z t))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (fma.f64 z t (.f64 a b))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 (fma.f64 z t (.f64 x y)) (fma.f64 z t (.f64 x y))) (-.f64 (fma.f64 z t (.f64 x y)) (.f64 a b))) (/.f64 (.f64 a (.f64 a (.f64 b b))) (-.f64 (fma.f64 z t (.f64 x y)) (.f64 a b))))
(-.f64 (/.f64 (.f64 x (.f64 y (.f64 x y))) (fma.f64 z (neg.f64 t) (.f64 x y))) (-.f64 (/.f64 (.f64 z (.f64 t (.f64 z t))) (fma.f64 z (neg.f64 t) (.f64 x y))) (*.f64 a b)))
(-.f64 (/.f64 (.f64 x (.f64 y (.f64 x y))) (-.f64 (.f64 x y) (fma.f64 z t (.f64 a b)))) (/.f64 (.f64 (fma.f64 z t (.f64 a b)) (fma.f64 z t (.f64 a b))) (-.f64 (.f64 x y) (fma.f64 z t (.f64 a b)))))
(-.f64 (/.f64 (.f64 a (.f64 a (.f64 b b))) (-.f64 (.f64 a b) (fma.f64 z t (.f64 x y)))) (/.f64 (.f64 (fma.f64 z t (.f64 x y)) (fma.f64 z t (.f64 x y))) (-.f64 (.f64 a b) (fma.f64 z t (.f64 x y)))))
(-.f64 (fma.f64 a b (/.f64 (.f64 x (.f64 y (.f64 x y))) (fma.f64 z (neg.f64 t) (.f64 x y)))) (/.f64 (.f64 z (.f64 t (.f64 z t))) (fma.f64 z (neg.f64 t) (.f64 x y))))
(fma.f64 x y (fma.f64 z t (*.f64 a b)))
(fma.f64 y x (fma.f64 z t (*.f64 a b)))
(fma.f64 z t (fma.f64 x y (*.f64 a b)))
(fma.f64 t z (fma.f64 x y (*.f64 a b)))
(fma.f64 (fma.f64 z t (.f64 x y)) (.f64 (fma.f64 z (neg.f64 t) (.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 z (neg.f64 t) (.f64 x y)))) (*.f64 a b))
(fma.f64 (fma.f64 z t (.f64 x y)) (/.f64 (fma.f64 z t (.f64 x y)) (-.f64 (fma.f64 z t (.f64 x y)) (.f64 a b))) (neg.f64 (/.f64 (.f64 a (.f64 a (.f64 b b))) (-.f64 (fma.f64 z t (.f64 x y)) (*.f64 a b)))))
(fma.f64 (fma.f64 z t (.f64 x y)) (/.f64 (fma.f64 z (neg.f64 t) (.f64 x y)) (fma.f64 z (neg.f64 t) (.f64 x y))) (.f64 a b))
(fma.f64 a b (fma.f64 z t (*.f64 x y)))
(fma.f64 b a (fma.f64 z t (*.f64 x y)))
(fma.f64 (.f64 (fma.f64 z t (.f64 x y)) (fma.f64 z t (.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 z t (.f64 x y)) (.f64 a b))) (neg.f64 (/.f64 (.f64 a (.f64 a (.f64 b b))) (-.f64 (fma.f64 z t (.f64 x y)) (.f64 a b)))))
(fma.f64 (fma.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 z t) (.f64 z (.f64 t (.f64 z t))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (fma.f64 z (neg.f64 t) (.f64 x y)) (.f64 z (.f64 t (.f64 z t))))) (*.f64 a b))
(fma.f64 (fma.f64 (.f64 x y) (fma.f64 z (neg.f64 t) (.f64 x y)) (.f64 z (.f64 t (.f64 z t)))) (.f64 (fma.f64 z t (.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (fma.f64 z (neg.f64 t) (.f64 x y)) (.f64 z (.f64 t (.f64 z t)))))) (*.f64 a b))
(fma.f64 (fma.f64 (.f64 x y) (fma.f64 z (neg.f64 t) (.f64 x y)) (.f64 z (.f64 t (.f64 z t)))) (/.f64 (fma.f64 z t (.f64 x y)) (fma.f64 (.f64 x y) (fma.f64 z (neg.f64 t) (.f64 x y)) (.f64 z (.f64 t (.f64 z t))))) (.f64 a b))
(fma.f64 (.f64 (fma.f64 z t (.f64 x y)) (fma.f64 z (neg.f64 t) (.f64 x y))) (/.f64 #s(literal 1 binary64) (fma.f64 z (neg.f64 t) (.f64 x y))) (*.f64 a b))
(fma.f64 (neg.f64 (fma.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 z t) (.f64 z (.f64 t (.f64 z t)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x y) (fma.f64 z (neg.f64 t) (.f64 x y)) (.f64 z (.f64 t (.f64 z t)))))) (*.f64 a b))
(fma.f64 (neg.f64 (.f64 (fma.f64 z t (.f64 x y)) (fma.f64 z (neg.f64 t) (.f64 x y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (neg.f64 t) (.f64 x y)))) (*.f64 a b))
(fma.f64 (fma.f64 z (.f64 t (.f64 z (.f64 t (.f64 z t)))) (.f64 a (.f64 b (.f64 a (.f64 a (.f64 b b)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a b) (-.f64 (.f64 a b) (.f64 z t)) (.f64 z (.f64 t (.f64 z t))))) (.f64 x y))
(fma.f64 #s(literal 1 binary64) (fma.f64 z t (.f64 x y)) (.f64 a b))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (fma.f64 z (neg.f64 t) (.f64 x y)) (.f64 z (.f64 t (.f64 z t))))) (fma.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 z t) (.f64 z (.f64 t (.f64 z t))))) (*.f64 a b))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (neg.f64 t) (.f64 x y))) (.f64 (fma.f64 z t (.f64 x y)) (fma.f64 z (neg.f64 t) (.f64 x y))) (*.f64 a b))
(fma.f64 (.f64 (fma.f64 z t (.f64 a b)) (-.f64 (.f64 z t) (.f64 a b))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z t) (.f64 a b))) (*.f64 x y))
(fma.f64 (.f64 (fma.f64 z t (.f64 x y)) (-.f64 (.f64 z t) (.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z t) (.f64 x y))) (*.f64 a b))
(fma.f64 (/.f64 (.f64 (fma.f64 z t (.f64 x y)) (fma.f64 z (neg.f64 t) (.f64 x y))) (.f64 (fma.f64 z t (.f64 x y)) (fma.f64 z (neg.f64 t) (.f64 x y)))) (fma.f64 z t (.f64 x y)) (.f64 a b))
(fma.f64 (/.f64 (.f64 (fma.f64 z t (.f64 x y)) (fma.f64 z t (.f64 x y))) (.f64 (fma.f64 x y (fma.f64 z t (.f64 a b))) (-.f64 (fma.f64 z t (.f64 x y)) (.f64 a b)))) (fma.f64 x y (fma.f64 z t (.f64 a b))) (neg.f64 (/.f64 (.f64 a (.f64 a (.f64 b b))) (-.f64 (fma.f64 z t (.f64 x y)) (*.f64 a b)))))
(fma.f64 (/.f64 (.f64 (fma.f64 z t (.f64 x y)) (fma.f64 z t (.f64 x y))) (-.f64 (.f64 (fma.f64 z t (.f64 x y)) (.f64 (fma.f64 z t (.f64 x y)) (fma.f64 z t (.f64 x y)))) (.f64 a (.f64 b (.f64 a (.f64 a (.f64 b b))))))) (fma.f64 (fma.f64 z t (.f64 x y)) (fma.f64 z t (.f64 x y)) (.f64 (.f64 a b) (fma.f64 x y (fma.f64 z t (.f64 a b))))) (neg.f64 (/.f64 (.f64 a (.f64 a (.f64 b b))) (-.f64 (fma.f64 z t (.f64 x y)) (*.f64 a b)))))
(fma.f64 (/.f64 (fma.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 z t) (.f64 z (.f64 t (.f64 z t))))) (fma.f64 (.f64 x y) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (.f64 (.f64 (.f64 z t) (-.f64 (.f64 z t) (.f64 x y))) (.f64 (.f64 (.f64 z t) (-.f64 (.f64 z t) (.f64 x y))) (.f64 (.f64 z t) (-.f64 (.f64 z t) (.f64 x y))))))) (fma.f64 (.f64 (.f64 z t) (-.f64 (.f64 z t) (.f64 x y))) (-.f64 (.f64 (.f64 z t) (-.f64 (.f64 z t) (.f64 x y))) (.f64 x (.f64 y (.f64 x y)))) (.f64 x (.f64 (.f64 y (.f64 x y)) (.f64 x (.f64 y (.f64 x y)))))) (.f64 a b))
(fma.f64 (/.f64 (fma.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 z t) (.f64 z (.f64 t (.f64 z t))))) (.f64 (fma.f64 (.f64 x y) (fma.f64 z (neg.f64 t) (.f64 x y)) (.f64 z (.f64 t (.f64 z t)))) (-.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 z t) (-.f64 (.f64 z t) (.f64 x y)))))) (-.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 z t) (-.f64 (.f64 z t) (.f64 x y)))) (.f64 a b))
(fma.f64 (/.f64 (.f64 (fma.f64 z t (.f64 x y)) (fma.f64 z (neg.f64 t) (.f64 x y))) (-.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 z t) (.f64 z (.f64 t (.f64 z t)))))) (fma.f64 x (.f64 y (.f64 x y)) (.f64 z (.f64 t (fma.f64 z t (.f64 x y))))) (*.f64 a b))
(neg.f64 (/.f64 (fma.f64 (fma.f64 z t (.f64 x y)) (.f64 (fma.f64 z t (.f64 x y)) (fma.f64 z t (.f64 x y))) (.f64 a (.f64 b (.f64 a (.f64 a (.f64 b b)))))) (neg.f64 (fma.f64 (fma.f64 z t (.f64 x y)) (-.f64 (fma.f64 z t (.f64 x y)) (.f64 a b)) (.f64 a (.f64 a (*.f64 b b)))))))
(neg.f64 (/.f64 (.f64 (fma.f64 x y (fma.f64 z t (.f64 a b))) (-.f64 (fma.f64 z t (.f64 x y)) (.f64 a b))) (neg.f64 (-.f64 (fma.f64 z t (.f64 x y)) (.f64 a b)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (fma.f64 z t (.f64 x y)) (.f64 (fma.f64 z t (.f64 x y)) (fma.f64 z t (.f64 x y))) (.f64 a (.f64 b (.f64 a (.f64 a (.f64 b b))))))) (fma.f64 (fma.f64 z t (.f64 x y)) (-.f64 (fma.f64 z t (.f64 x y)) (.f64 a b)) (.f64 a (.f64 a (*.f64 b b))))))
(neg.f64 (/.f64 (.f64 (fma.f64 x y (fma.f64 z t (.f64 a b))) (neg.f64 (-.f64 (fma.f64 z t (.f64 x y)) (.f64 a b)))) (-.f64 (fma.f64 z t (.f64 x y)) (.f64 a b))))
(/.f64 (fma.f64 (fma.f64 z t (.f64 x y)) (.f64 (fma.f64 z t (.f64 x y)) (fma.f64 z t (.f64 x y))) (.f64 a (.f64 b (.f64 a (.f64 a (.f64 b b)))))) (fma.f64 (fma.f64 z t (.f64 x y)) (-.f64 (fma.f64 z t (.f64 x y)) (.f64 a b)) (.f64 a (.f64 a (*.f64 b b)))))
(/.f64 (.f64 (fma.f64 x y (fma.f64 z t (.f64 a b))) (-.f64 (fma.f64 z t (.f64 x y)) (.f64 a b))) (-.f64 (fma.f64 z t (.f64 x y)) (.f64 a b)))
(/.f64 (neg.f64 (fma.f64 (fma.f64 z t (.f64 x y)) (.f64 (fma.f64 z t (.f64 x y)) (fma.f64 z t (.f64 x y))) (.f64 a (.f64 b (.f64 a (.f64 a (.f64 b b))))))) (neg.f64 (fma.f64 (fma.f64 z t (.f64 x y)) (-.f64 (fma.f64 z t (.f64 x y)) (.f64 a b)) (.f64 a (.f64 a (*.f64 b b))))))
(/.f64 (.f64 (fma.f64 x y (fma.f64 z t (.f64 a b))) (neg.f64 (-.f64 (fma.f64 z t (.f64 x y)) (.f64 a b)))) (neg.f64 (-.f64 (fma.f64 z t (.f64 x y)) (.f64 a b))))
(/.f64 (fma.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y)))) (.f64 (fma.f64 z t (.f64 a b)) (.f64 (fma.f64 z t (.f64 a b)) (fma.f64 z t (.f64 a b))))) (fma.f64 (fma.f64 z t (.f64 a b)) (-.f64 (fma.f64 z t (.f64 a b)) (.f64 x y)) (.f64 x (.f64 y (*.f64 x y)))))
(/.f64 (fma.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y)))) (.f64 (fma.f64 z t (.f64 a b)) (.f64 (fma.f64 z t (.f64 a b)) (fma.f64 z t (.f64 a b))))) (fma.f64 (fma.f64 z t (.f64 a b)) (fma.f64 z t (.f64 a b)) (-.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (fma.f64 z t (*.f64 a b)))))))
(/.f64 (fma.f64 (.f64 a (.f64 b (.f64 a (.f64 a (.f64 b b))))) (.f64 (.f64 a (.f64 a (.f64 b b))) (.f64 (.f64 a (.f64 a (.f64 b b))) (.f64 a (.f64 a (.f64 b b))))) (pow.f64 (fma.f64 z t (.f64 x y)) #s(literal 9 binary64))) (.f64 (fma.f64 (fma.f64 z t (.f64 x y)) (-.f64 (fma.f64 z t (.f64 x y)) (.f64 a b)) (.f64 a (.f64 a (.f64 b b)))) (fma.f64 (.f64 a (.f64 b (.f64 a (.f64 a (.f64 b b))))) (-.f64 (.f64 a (.f64 b (.f64 a (.f64 a (.f64 b b))))) (.f64 (fma.f64 z t (.f64 x y)) (.f64 (fma.f64 z t (.f64 x y)) (fma.f64 z t (.f64 x y))))) (.f64 (.f64 (fma.f64 z t (.f64 x y)) (fma.f64 z t (.f64 x y))) (.f64 (.f64 (fma.f64 z t (.f64 x y)) (fma.f64 z t (.f64 x y))) (.f64 (fma.f64 z t (.f64 x y)) (fma.f64 z t (.f64 x y))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y (fma.f64 z t (*.f64 a b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 z t (.f64 a b)) (-.f64 (fma.f64 z t (.f64 a b)) (.f64 x y)) (.f64 x (.f64 y (.f64 x y)))) (fma.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y)))) (.f64 (fma.f64 z t (.f64 a b)) (.f64 (fma.f64 z t (.f64 a b)) (fma.f64 z t (*.f64 a b)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (fma.f64 z t (*.f64 a b)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x y) (fma.f64 z t (.f64 a b))) (.f64 (fma.f64 x y (fma.f64 z t (.f64 a b))) (-.f64 (.f64 x y) (fma.f64 z t (.f64 a b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 a b) (fma.f64 z t (.f64 x y))) (.f64 (fma.f64 x y (fma.f64 z t (.f64 a b))) (-.f64 (.f64 a b) (fma.f64 z t (.f64 x y))))))
(/.f64 (.f64 (fma.f64 x y (fma.f64 z t (.f64 a b))) (-.f64 (.f64 x y) (fma.f64 z t (.f64 a b)))) (-.f64 (.f64 x y) (fma.f64 z t (.f64 a b))))
(/.f64 (.f64 (fma.f64 x y (fma.f64 z t (.f64 a b))) (-.f64 (.f64 a b) (fma.f64 z t (.f64 x y)))) (-.f64 (.f64 a b) (fma.f64 z t (.f64 x y))))
(/.f64 (.f64 (fma.f64 (fma.f64 z t (.f64 x y)) (.f64 (fma.f64 z t (.f64 x y)) (fma.f64 z t (.f64 x y))) (.f64 a (.f64 b (.f64 a (.f64 a (.f64 b b)))))) (-.f64 (.f64 (fma.f64 z t (.f64 x y)) (.f64 (fma.f64 z t (.f64 x y)) (fma.f64 z t (.f64 x y)))) (.f64 a (.f64 b (.f64 a (.f64 a (.f64 b b))))))) (.f64 (fma.f64 (fma.f64 z t (.f64 x y)) (-.f64 (fma.f64 z t (.f64 x y)) (.f64 a b)) (.f64 a (.f64 a (.f64 b b)))) (-.f64 (.f64 (fma.f64 z t (.f64 x y)) (.f64 (fma.f64 z t (.f64 x y)) (fma.f64 z t (.f64 x y)))) (.f64 a (.f64 b (.f64 a (.f64 a (*.f64 b b))))))))
(/.f64 (.f64 (fma.f64 (fma.f64 z t (.f64 x y)) (.f64 (fma.f64 z t (.f64 x y)) (fma.f64 z t (.f64 x y))) (.f64 a (.f64 b (.f64 a (.f64 a (.f64 b b)))))) (-.f64 (.f64 (fma.f64 z t (.f64 x y)) (.f64 (fma.f64 z t (.f64 x y)) (fma.f64 z t (.f64 x y)))) (.f64 a (.f64 b (.f64 a (.f64 a (.f64 b b))))))) (.f64 (-.f64 (fma.f64 z t (.f64 x y)) (.f64 a b)) (fma.f64 (fma.f64 z t (.f64 x y)) (.f64 (fma.f64 z t (.f64 x y)) (.f64 (fma.f64 z t (.f64 x y)) (fma.f64 z t (.f64 x y)))) (.f64 (.f64 a (.f64 a (.f64 b b))) (fma.f64 (fma.f64 z t (.f64 x y)) (fma.f64 z t (.f64 x y)) (.f64 a (.f64 a (.f64 b b))))))))
(/.f64 (.f64 (fma.f64 (fma.f64 z t (.f64 x y)) (fma.f64 z t (.f64 x y)) (.f64 a (.f64 a (.f64 b b)))) (.f64 (fma.f64 x y (fma.f64 z t (.f64 a b))) (-.f64 (fma.f64 z t (.f64 x y)) (.f64 a b)))) (.f64 (-.f64 (fma.f64 z t (.f64 x y)) (.f64 a b)) (fma.f64 (fma.f64 z t (.f64 x y)) (fma.f64 z t (.f64 x y)) (.f64 a (.f64 a (.f64 b b))))))
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eval54.0ms (1.1%)

Memory: 9.2MiB live, 123.1MiB allocated
Compiler: Compiled 11 025 to 551 computations (95% saved)

prune149.0ms (3%)

Memory

-46.6MiB live, 102.5MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	372	6	378
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	373	6	379

Accuracy

100.0%

Counts

379 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	65.9%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 t z (*.f64 x y)))
▶	70.8%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 a b (*.f64 x y)))
▶	68.0%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 a b (*.f64 t z)))
▶	35.7%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (*.f64 x y))
▶	34.3%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (*.f64 t z))
▶	37.8%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (*.f64 a b))

Compiler

Compiled 138 to 90 computations (34.8% saved)

simplify6.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

36×	`lower-fma.f32`
32×	`lower-fma.f64`
24×	`lower-+.f64`
24×	`lower-+.f32`
12×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	122
0	26	117
1	37	117
2	40	117
0	40	112

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize45.0ms (0.9%)

Memory

27.4MiB live, 100.1MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 a b (*.f64 t z))
accuracy	0	(*.f64 t z)
accuracy	20.508081343247238	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 a b (*.f64 t z)))
accuracy	0	(*.f64 x y)
accuracy	41.17700476200823	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (*.f64 x y))
accuracy	0	(*.f64 t z)
accuracy	42.04199218186662	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (*.f64 t z))
accuracy	0	(*.f64 a b)
accuracy	39.82770707314897	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (*.f64 a b))
accuracy	0	(*.f64 x y)
accuracy	0.2539034976055602	(fma.f64 a b (*.f64 x y))
accuracy	18.41585630524566	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 a b (*.f64 x y)))

Samples

27.0ms

256×

valid

Compiler

Compiled 100 to 16 computations (84% saved)

Precisions

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

ival-mult: 7.0ms (64.6% of total)

ival-add: 4.0ms (36.9% of total)

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

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

series27.0ms (0.5%)

Memory

-24.8MiB live, 50.7MiB allocated

Counts

10 → 528

Calls

Call 1

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

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

Calls

132 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(+ (* a b) (* x y))
0.0ms	b	@	inf	(+ (* a b) (* t z))
0.0ms	b	@	0	(+ (* a b) (* x y))
0.0ms	x	@	-inf	(+ (* a b) (* x y))
0.0ms	a	@	-inf	(+ (* a b) (* x y))

simplify227.0ms (4.6%)

Memory

49.0MiB live, 388.6MiB allocated

Algorithm

1×	egg-herbie

Rules

10 862×	`lower-fma.f64`
10 862×	`lower-fma.f32`
4 048×	`lower-*.f64`
4 048×	`lower-*.f32`
1 844×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	128	4152
1	488	4152
2	1607	4152
3	4039	4152
4	7703	4152
0	8441	3510

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 528

Calls

Call 1

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

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

rewrite681.0ms (13.9%)

Memory

-56.0MiB live, 409.6MiB allocated

Rules

11 692×	`lower-fma.f32`
11 688×	`lower-fma.f64`
6 498×	`lower-*.f32`
6 492×	`lower-*.f64`
3 828×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	102
0	26	97
1	85	97
2	608	97
0	8267	92

Stop Event

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

Counts

10 → 131

Calls

Call 1

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

Outputs
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 x y (*.f64 a b)))
(+.f64 (.f64 x y) (.f64 a b))
(+.f64 (.f64 a b) (.f64 x y))
(+.f64 (/.f64 (.f64 a (.f64 a (.f64 b b))) (-.f64 (.f64 a b) (.f64 x y))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 a b) (.f64 x y)))))
(-.f64 (/.f64 (.f64 a (.f64 a (.f64 b b))) (-.f64 (.f64 a b) (.f64 x y))) (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 a b) (.f64 x y))))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 x y) (.f64 a b))) (/.f64 (.f64 a (.f64 a (.f64 b b))) (-.f64 (.f64 x y) (.f64 a b))))
(fma.f64 x y (*.f64 a b))
(fma.f64 y x (*.f64 a b))
(fma.f64 a b (*.f64 x y))
(fma.f64 b a (*.f64 x y))
(fma.f64 (.f64 a (.f64 a (.f64 b b))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a b) (.f64 x y))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 a b) (.f64 x y)))))
(fma.f64 (/.f64 (.f64 a (.f64 a (.f64 b b))) (.f64 (fma.f64 x y (.f64 a b)) (-.f64 (.f64 a b) (.f64 x y)))) (fma.f64 x y (.f64 a b)) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 a b) (*.f64 x y)))))
(fma.f64 (/.f64 (.f64 a (.f64 a (.f64 b b))) (-.f64 (.f64 (.f64 a b) (.f64 a (.f64 a (.f64 b b)))) (.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y))))))) (fma.f64 a (.f64 a (.f64 b b)) (.f64 (.f64 x y) (fma.f64 x y (.f64 a b)))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 a b) (*.f64 x y)))))
(neg.f64 (/.f64 (fma.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 a b) (.f64 a (.f64 a (.f64 b b))))) (neg.f64 (fma.f64 a (.f64 a (.f64 b b)) (.f64 (.f64 x y) (-.f64 (.f64 x y) (*.f64 a b)))))))
(neg.f64 (/.f64 (.f64 (fma.f64 x y (.f64 a b)) (-.f64 (.f64 a b) (.f64 x y))) (neg.f64 (-.f64 (.f64 a b) (.f64 x y)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 a b) (.f64 a (.f64 a (.f64 b b)))))) (fma.f64 a (.f64 a (.f64 b b)) (.f64 (.f64 x y) (-.f64 (.f64 x y) (*.f64 a b))))))
(neg.f64 (/.f64 (neg.f64 (.f64 (fma.f64 x y (.f64 a b)) (-.f64 (.f64 a b) (.f64 x y)))) (-.f64 (.f64 a b) (.f64 x y))))
(/.f64 (fma.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 a b) (.f64 a (.f64 a (.f64 b b))))) (fma.f64 a (.f64 a (.f64 b b)) (.f64 (.f64 x y) (-.f64 (.f64 x y) (*.f64 a b)))))
(/.f64 (fma.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 a b) (.f64 a (.f64 a (.f64 b b))))) (fma.f64 x (.f64 x (.f64 y y)) (.f64 (.f64 a b) (-.f64 (.f64 a b) (*.f64 x y)))))
(/.f64 (.f64 (fma.f64 x y (.f64 a b)) (-.f64 (.f64 a b) (.f64 x y))) (-.f64 (.f64 a b) (.f64 x y)))
(/.f64 (neg.f64 (fma.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 a b) (.f64 a (.f64 a (.f64 b b)))))) (neg.f64 (fma.f64 a (.f64 a (.f64 b b)) (.f64 (.f64 x y) (-.f64 (.f64 x y) (*.f64 a b))))))
(/.f64 (neg.f64 (fma.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 a b) (.f64 a (.f64 a (.f64 b b)))))) (neg.f64 (fma.f64 x (.f64 x (.f64 y y)) (.f64 (.f64 a b) (-.f64 (.f64 a b) (*.f64 x y))))))
(/.f64 (neg.f64 (.f64 (fma.f64 x y (.f64 a b)) (-.f64 (.f64 a b) (.f64 x y)))) (neg.f64 (-.f64 (.f64 a b) (.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x (.f64 y y)) (.f64 (.f64 a b) (-.f64 (.f64 a b) (.f64 x y)))) (fma.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 a b) (.f64 a (.f64 a (*.f64 b b)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 a b))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x y) (.f64 a b)) (.f64 (fma.f64 x y (.f64 a b)) (-.f64 (.f64 x y) (.f64 a b)))))
(/.f64 (.f64 (fma.f64 x y (.f64 a b)) (-.f64 (.f64 x y) (.f64 a b))) (-.f64 (.f64 x y) (.f64 a b)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 a b)))))
(/.f64 (-.f64 (.f64 (.f64 a (.f64 a (.f64 b b))) (-.f64 (.f64 a b) (.f64 x y))) (.f64 (-.f64 (.f64 a b) (.f64 x y)) (.f64 x (.f64 x (.f64 y y))))) (.f64 (-.f64 (.f64 a b) (.f64 x y)) (-.f64 (.f64 a b) (*.f64 x y))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 a b) (.f64 a (.f64 a (.f64 b b)))) (.f64 (.f64 (.f64 a b) (.f64 a (.f64 a (.f64 b b)))) (.f64 (.f64 a b) (.f64 a (.f64 a (.f64 b b))))) (.f64 (.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y))))) (.f64 (.f64 x y) (.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y))))))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 a b) (.f64 (.f64 a (.f64 a (.f64 b b))) (.f64 (.f64 a b) (.f64 a (.f64 a (.f64 b b))))) (.f64 (.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y))))) (-.f64 (.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y))))) (.f64 (.f64 a b) (.f64 a (.f64 a (.f64 b b))))))) (fma.f64 a (.f64 a (.f64 b b)) (.f64 (.f64 x y) (-.f64 (.f64 x y) (*.f64 a b))))))
(/.f64 (.f64 (.f64 (fma.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 a b) (.f64 a (.f64 a (.f64 b b))))) (-.f64 (.f64 (.f64 a b) (.f64 a (.f64 a (.f64 b b)))) (.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y))))))) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.f64 a b) (.f64 a (.f64 a (.f64 b b)))) (.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y)))))) (fma.f64 a (.f64 a (.f64 b b)) (.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 a b))))))
(/.f64 (.f64 (.f64 (fma.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 a b) (.f64 a (.f64 a (.f64 b b))))) (-.f64 (.f64 (.f64 a b) (.f64 a (.f64 a (.f64 b b)))) (.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y))))))) #s(literal 1 binary64)) (.f64 (fma.f64 a (.f64 (.f64 a (.f64 b b)) (.f64 a (.f64 a (.f64 b b)))) (.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (.f64 x (.f64 y y)) (.f64 a (.f64 a (.f64 b b)))))) (-.f64 (.f64 a b) (*.f64 x y))))
(/.f64 (.f64 (.f64 (fma.f64 a (.f64 a (.f64 b b)) (.f64 x (.f64 x (.f64 y y)))) (.f64 (fma.f64 x y (.f64 a b)) (-.f64 (.f64 a b) (.f64 x y)))) #s(literal 1 binary64)) (.f64 (fma.f64 a (.f64 a (.f64 b b)) (.f64 x (.f64 x (.f64 y y)))) (-.f64 (.f64 a b) (*.f64 x y))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 y (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 a b) (.f64 a (.f64 a (.f64 b b))))))) (neg.f64 (neg.f64 (fma.f64 a (.f64 a (.f64 b b)) (.f64 (.f64 x y) (-.f64 (.f64 x y) (*.f64 a b)))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (fma.f64 x y (.f64 a b)) (-.f64 (.f64 a b) (.f64 x y))))) (neg.f64 (neg.f64 (-.f64 (.f64 a b) (.f64 x y)))))
(/.f64 (neg.f64 (.f64 (fma.f64 x y (.f64 a b)) (-.f64 (.f64 x y) (.f64 a b)))) (neg.f64 (-.f64 (.f64 x y) (.f64 a b))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 a (.f64 a (.f64 b b))) (-.f64 (.f64 a b) (.f64 x y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 a b) (.f64 x y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 a (.f64 a (.f64 b b))) (-.f64 (.f64 a b) (.f64 x y))) (/.f64 (.f64 a (.f64 a (.f64 b b))) (-.f64 (.f64 a b) (.f64 x y))) (fma.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 a b) (.f64 x y))) (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 a b) (.f64 x y))) (.f64 (/.f64 (.f64 a (.f64 a (.f64 b b))) (-.f64 (.f64 a b) (.f64 x y))) (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 a b) (*.f64 x y)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 a (.f64 a (.f64 b b))) (-.f64 (.f64 a b) (.f64 x y))) (/.f64 (.f64 a (.f64 a (.f64 b b))) (-.f64 (.f64 a b) (.f64 x y)))) (.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 a b) (.f64 x y))) (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 a b) (.f64 x y))))) (+.f64 (/.f64 (.f64 a (.f64 a (.f64 b b))) (-.f64 (.f64 a b) (.f64 x y))) (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 a b) (.f64 x y)))))
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(.f64 (fma.f64 a (.f64 (.f64 a (.f64 b b)) (.f64 a b)) (.f64 (.f64 z t) (.f64 z (.f64 z (.f64 t t))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z (.f64 t t)) (.f64 (.f64 a b) (-.f64 (.f64 a b) (.f64 z t))))))
(.f64 (fma.f64 z (.f64 t (-.f64 (.f64 z t) (.f64 a b))) (.f64 a (.f64 a (.f64 b b)))) (.f64 (fma.f64 z t (.f64 a b)) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 t (-.f64 (.f64 z t) (.f64 a b))) (.f64 a (.f64 a (*.f64 b b)))))))
(.f64 (.f64 (fma.f64 z t (.f64 a b)) (-.f64 (.f64 a b) (.f64 z t))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a b) (*.f64 z t))))
(.f64 (neg.f64 (fma.f64 a (.f64 (.f64 a (.f64 b b)) (.f64 a b)) (.f64 (.f64 z t) (.f64 z (.f64 z (.f64 t t)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (.f64 t (-.f64 (.f64 z t) (.f64 a b))) (.f64 a (.f64 a (.f64 b b)))))))
(.f64 (.f64 (neg.f64 (fma.f64 z t (.f64 a b))) (-.f64 (.f64 a b) (.f64 z t))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 a b) (*.f64 z t)))))
(.f64 #s(literal 1 binary64) (fma.f64 z t (.f64 a b)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 t (-.f64 (.f64 z t) (.f64 a b))) (.f64 a (.f64 a (.f64 b b))))) (fma.f64 a (.f64 (.f64 a (.f64 b b)) (.f64 a b)) (.f64 (.f64 z t) (.f64 z (.f64 z (.f64 t t))))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a b) (.f64 z t))) (.f64 (fma.f64 z t (.f64 a b)) (-.f64 (.f64 a b) (*.f64 z t))))
(.f64 (.f64 (fma.f64 z t (.f64 a b)) (-.f64 (.f64 z t) (.f64 a b))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z t) (*.f64 a b))))
(.f64 (/.f64 (.f64 (fma.f64 z t (.f64 a b)) (-.f64 (.f64 a b) (.f64 z t))) (.f64 (fma.f64 z t (.f64 a b)) (-.f64 (.f64 a b) (.f64 z t)))) (fma.f64 z t (.f64 a b)))
(.f64 (/.f64 (fma.f64 a (.f64 (.f64 a (.f64 b b)) (.f64 a b)) (.f64 (.f64 z t) (.f64 z (.f64 z (.f64 t t))))) (fma.f64 (.f64 a b) (.f64 (.f64 a (.f64 a (.f64 b b))) (.f64 (.f64 a b) (.f64 a (.f64 a (.f64 b b))))) (.f64 (.f64 (.f64 z t) (-.f64 (.f64 z t) (.f64 a b))) (.f64 (.f64 z (.f64 z (.f64 t t))) (.f64 (-.f64 (.f64 z t) (.f64 a b)) (-.f64 (.f64 z t) (.f64 a b))))))) (fma.f64 (.f64 a b) (.f64 (.f64 a b) (.f64 a (.f64 a (.f64 b b)))) (.f64 (.f64 (.f64 z t) (-.f64 (.f64 z t) (.f64 a b))) (-.f64 (.f64 (.f64 z t) (-.f64 (.f64 z t) (.f64 a b))) (.f64 a (.f64 a (.f64 b b)))))))
(.f64 (/.f64 (fma.f64 a (.f64 (.f64 a (.f64 b b)) (.f64 a b)) (.f64 (.f64 z t) (.f64 z (.f64 z (.f64 t t))))) (.f64 (fma.f64 z (.f64 t (-.f64 (.f64 z t) (.f64 a b))) (.f64 a (.f64 a (.f64 b b)))) (-.f64 (.f64 a (.f64 a (.f64 b b))) (.f64 (.f64 z t) (-.f64 (.f64 z t) (.f64 a b)))))) (-.f64 (.f64 a (.f64 a (.f64 b b))) (.f64 (.f64 z t) (-.f64 (.f64 z t) (*.f64 a b)))))
(.f64 (/.f64 (.f64 (fma.f64 z t (.f64 a b)) (-.f64 (.f64 a b) (.f64 z t))) (-.f64 (.f64 (.f64 a b) (.f64 a (.f64 a (.f64 b b)))) (.f64 (.f64 z t) (.f64 z (.f64 z (.f64 t t)))))) (fma.f64 a (.f64 a (.f64 b b)) (.f64 (.f64 z t) (fma.f64 z t (.f64 a b)))))

eval77.0ms (1.6%)

Memory: 20.8MiB live, 208.8MiB allocated
Compiler: Compiled 10 028 to 358 computations (96.4% saved)

prune61.0ms (1.2%)

Memory

21.2MiB live, 98.3MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	711	0	711
Fresh	0	1	1
Picked	0	5	5
Done	0	0	0
Total	711	6	717

Accuracy

100.0%

Counts

717 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	65.9%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 t z (*.f64 x y)))
✓	70.8%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 a b (*.f64 x y)))
✓	68.0%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 a b (*.f64 t z)))
✓	35.7%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (*.f64 x y))
✓	34.3%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (*.f64 t z))
✓	37.8%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (*.f64 a b))

Compiler

Compiled 69 to 45 computations (34.8% saved)

simplify5.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

36×	`lower-fma.f32`
34×	`lower-fma.f64`
24×	`lower-+.f64`
24×	`lower-+.f32`
12×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	31
0	17	30
1	25	30
2	32	30
3	34	30
0	34	29

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize86.0ms (1.8%)

Memory

-37.5MiB live, 124.1MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	0.2539034976055602	(fma.f64 t z (*.f64 x y))
accuracy	21.604100020145502	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 t z (*.f64 x y)))

Samples

43.0ms

256×

valid

Compiler

Compiled 27 to 15 computations (44.4% saved)

Precisions

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

ival-mult: 7.0ms (63.2% of total)

ival-add: 4.0ms (36.1% of total)

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

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

series4.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated

Counts

3 → 144

Calls

Call 1

Inputs

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

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

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

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

Calls

36 calls:

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

simplify178.0ms (3.6%)

Memory

-5.4MiB live, 233.2MiB allocated

Algorithm

1×	egg-herbie

Rules

9 200×	`lower-fma.f64`
9 200×	`lower-fma.f32`
3 162×	`lower-*.f64`
3 162×	`lower-*.f32`
1 122×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	1032
1	389	1032
2	1252	1032
3	3048	1032
4	6630	1032
0	8362	882

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

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

rewrite335.0ms (6.8%)

Memory

19.6MiB live, 336.0MiB allocated

Rules

10 438×	`lower-fma.f32`
10 436×	`lower-fma.f64`
4 952×	`lower-*.f32`
4 950×	`lower-*.f64`
2 772×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	27
0	17	26
1	65	26
2	570	26
3	7980	26
0	8553	25

Stop Event

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

Counts

3 → 96

Calls

Call 1

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

Outputs
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 x y (*.f64 z t)))
(+.f64 (.f64 z t) (.f64 x y))
(+.f64 (.f64 x y) (.f64 z t))
(+.f64 (/.f64 (.f64 z (.f64 z (.f64 t t))) (-.f64 (.f64 z t) (.f64 x y))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 z t) (.f64 x y)))))
(+.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 x y) (.f64 z t))) (neg.f64 (/.f64 (.f64 z (.f64 z (.f64 t t))) (-.f64 (.f64 x y) (.f64 z t)))))
(-.f64 (/.f64 (.f64 z (.f64 z (.f64 t t))) (-.f64 (.f64 z t) (.f64 x y))) (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 z t) (.f64 x y))))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 x y) (.f64 z t))) (/.f64 (.f64 z (.f64 z (.f64 t t))) (-.f64 (.f64 x y) (.f64 z t))))
(fma.f64 x y (*.f64 z t))
(fma.f64 x (/.f64 (.f64 x (.f64 y y)) (-.f64 (.f64 x y) (.f64 z t))) (neg.f64 (/.f64 (.f64 z (.f64 z (.f64 t t))) (-.f64 (.f64 x y) (*.f64 z t)))))
(fma.f64 y x (*.f64 z t))
(fma.f64 y (/.f64 (.f64 x (.f64 x y)) (-.f64 (.f64 x y) (.f64 z t))) (neg.f64 (/.f64 (.f64 z (.f64 z (.f64 t t))) (-.f64 (.f64 x y) (*.f64 z t)))))
(fma.f64 z t (*.f64 x y))
(fma.f64 z (/.f64 (.f64 z (.f64 t t)) (-.f64 (.f64 z t) (.f64 x y))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 z t) (*.f64 x y)))))
(fma.f64 t z (*.f64 x y))
(fma.f64 t (/.f64 (.f64 z (.f64 z t)) (-.f64 (.f64 z t) (.f64 x y))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 z t) (*.f64 x y)))))
(fma.f64 (.f64 z t) (/.f64 (.f64 z t) (-.f64 (.f64 z t) (.f64 x y))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 z t) (*.f64 x y)))))
(fma.f64 (.f64 x y) (/.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 z t))) (neg.f64 (/.f64 (.f64 z (.f64 z (.f64 t t))) (-.f64 (.f64 x y) (*.f64 z t)))))
(fma.f64 (.f64 x (.f64 x (.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) (.f64 z t))) (neg.f64 (/.f64 (.f64 z (.f64 z (.f64 t t))) (-.f64 (.f64 x y) (.f64 z t)))))
(fma.f64 (.f64 z (.f64 z (.f64 t t))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z t) (.f64 x y))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 z t) (.f64 x y)))))
(fma.f64 (.f64 x x) (/.f64 (.f64 y y) (-.f64 (.f64 x y) (.f64 z t))) (neg.f64 (/.f64 (.f64 z (.f64 z (.f64 t t))) (-.f64 (.f64 x y) (*.f64 z t)))))
(fma.f64 (.f64 y y) (/.f64 (.f64 x x) (-.f64 (.f64 x y) (.f64 z t))) (neg.f64 (/.f64 (.f64 z (.f64 z (.f64 t t))) (-.f64 (.f64 x y) (*.f64 z t)))))
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(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z t) (-.f64 (.f64 z t) (.f64 x y)) (.f64 x (.f64 x (.f64 y y))))) (fma.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) (.f64 t (.f64 t t)))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z t) (.f64 x y))) (.f64 (fma.f64 x y (.f64 z t)) (-.f64 (.f64 z t) (*.f64 x y))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) (.f64 z t))) (.f64 (fma.f64 x y (.f64 z t)) (-.f64 (.f64 x y) (*.f64 z t))))
(.f64 (/.f64 (.f64 (fma.f64 x y (.f64 z t)) (-.f64 (.f64 x y) (.f64 z t))) (.f64 (fma.f64 x y (.f64 z t)) (-.f64 (.f64 x y) (.f64 z t)))) (fma.f64 x y (.f64 z t)))
(.f64 (/.f64 (.f64 (fma.f64 x y (.f64 z t)) (-.f64 (.f64 z t) (.f64 x y))) (.f64 (fma.f64 x y (.f64 z t)) (-.f64 (.f64 z t) (.f64 x y)))) (fma.f64 x y (.f64 z t)))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) (.f64 t (.f64 t t)))) (fma.f64 (.f64 z t) (.f64 (.f64 z (.f64 z (.f64 t t))) (.f64 (.f64 z (.f64 z z)) (.f64 t (.f64 t t)))) (.f64 (.f64 x (.f64 y (-.f64 (.f64 x y) (.f64 z t)))) (.f64 (.f64 x (.f64 y (-.f64 (.f64 x y) (.f64 z t)))) (.f64 x (.f64 y (-.f64 (.f64 x y) (.f64 z t)))))))) (fma.f64 (.f64 x (.f64 y (-.f64 (.f64 x y) (.f64 z t)))) (-.f64 (.f64 x (.f64 y (-.f64 (.f64 x y) (.f64 z t)))) (.f64 z (.f64 z (.f64 t t)))) (.f64 (.f64 z t) (.f64 (.f64 z (.f64 z z)) (.f64 t (.f64 t t))))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) (.f64 t (.f64 t t)))) (.f64 (fma.f64 (.f64 z t) (-.f64 (.f64 z t) (.f64 x y)) (.f64 x (.f64 x (.f64 y y)))) (fma.f64 z (.f64 z (.f64 t t)) (.f64 (neg.f64 (.f64 x y)) (-.f64 (.f64 x y) (.f64 z t)))))) (fma.f64 z (.f64 z (.f64 t t)) (.f64 (neg.f64 (.f64 x y)) (-.f64 (.f64 x y) (*.f64 z t)))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) (.f64 t (.f64 t t)))) (fma.f64 (.f64 x y) (.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 t (.f64 t t))) (.f64 (-.f64 (.f64 z t) (.f64 x y)) (.f64 (-.f64 (.f64 z t) (.f64 x y)) (-.f64 (.f64 z t) (.f64 x y))))))) (fma.f64 (.f64 (.f64 z t) (-.f64 (.f64 z t) (.f64 x y))) (-.f64 (.f64 (.f64 z t) (-.f64 (.f64 z t) (.f64 x y))) (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 x y) (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) (.f64 t (.f64 t t)))) (.f64 (fma.f64 (.f64 z t) (-.f64 (.f64 z t) (.f64 x y)) (.f64 x (.f64 x (.f64 y y)))) (-.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 (.f64 z t) (-.f64 (.f64 z t) (.f64 x y)))))) (-.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 (.f64 z t) (-.f64 (.f64 z t) (*.f64 x y)))))
(.f64 (/.f64 (.f64 (fma.f64 x y (.f64 z t)) (-.f64 (.f64 z t) (.f64 x y))) (-.f64 (.f64 (.f64 z (.f64 z z)) (.f64 t (.f64 t t))) (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (fma.f64 x (.f64 y (fma.f64 x y (.f64 z t))) (.f64 z (.f64 z (.f64 t t)))))
(.f64 (/.f64 (.f64 (fma.f64 x y (.f64 z t)) (-.f64 (.f64 x y) (.f64 z t))) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 (.f64 z (.f64 z z)) (.f64 t (.f64 t t))))) (fma.f64 x (.f64 y (fma.f64 x y (.f64 z t))) (.f64 z (.f64 z (.f64 t t)))))
(*.f64 x y)
(*.f64 y x)

eval27.0ms (0.5%)

Memory: -19.5MiB live, 55.3MiB allocated
Compiler: Compiled 5 740 to 282 computations (95.1% saved)

prune27.0ms (0.5%)

Memory

24.9MiB live, 73.5MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	240	0	240
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	240	6	246

Accuracy

100.0%

Counts

246 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	65.9%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 t z (*.f64 x y)))
✓	70.8%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 a b (*.f64 x y)))
✓	68.0%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 a b (*.f64 t z)))
✓	35.7%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (*.f64 x y))
✓	34.3%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (*.f64 t z))
✓	37.8%	#s(approx (+ (+ (* x y) (* z t)) (* a b)) (*.f64 a b))

Compiler

Compiled 119 to 60 computations (49.6% saved)

regimes42.0ms (0.9%)

Memory

-8.8MiB live, 103.5MiB allocated

Counts

7 → 1

Calls

Call 1

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

Outputs
(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))

Calls

11 calls:

7.0ms	b
6.0ms	y
5.0ms	(*.f64 a b)
3.0ms	a
3.0ms	x

Results

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

Compiler

Compiled 99 to 77 computations (22.2% saved)

regimes39.0ms (0.8%)

Memory

1.6MiB live, 80.4MiB allocated

Counts

6 → 4

Calls

Call 1

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

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

Calls

11 calls:

7.0ms	(*.f64 x y)
6.0ms	z
3.0ms	b
3.0ms	(*.f64 a b)
3.0ms	t

Results

Accuracy	Segments	Branch
87.5%	3	`x`
89.1%	3	`y`
85.3%	4	`z`
84.2%	3	`t`
86.6%	3	`a`
85.0%	3	`b`
73.8%	2	`(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))`
91.1%	4	`(+.f64 (.f64 x y) (.f64 z t))`
94.0%	4	`(*.f64 x y)`
89.4%	3	`(*.f64 z t)`
92.1%	3	`(*.f64 a b)`

Compiler

Compiled 99 to 77 computations (22.2% saved)

regimes5.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated

Counts

5 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

2.0ms	(*.f64 x y)
2.0ms	(*.f64 a b)

Results

Accuracy	Segments	Branch
73.6%	2	`(*.f64 a b)`
91.2%	3	`(*.f64 x y)`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes12.0ms (0.2%)

Memory

-14.1MiB live, 23.5MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	(+.f64 (.f64 x y) (.f64 z t))
2.0ms	y
2.0ms	(*.f64 z t)
2.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
83.3%	3	`y`
68.0%	1	`(*.f64 z t)`
72.6%	2	`(+.f64 (.f64 x y) (.f64 z t))`
88.7%	3	`(*.f64 x y)`

Compiler

Compiled 38 to 29 computations (23.7% saved)

regimes22.0ms (0.5%)

Memory

8.7MiB live, 47.3MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

11 calls:

3.0ms	z
2.0ms	a
2.0ms	b
2.0ms	y
2.0ms	t

Results

Accuracy	Segments	Branch
59.6%	4	`(*.f64 z t)`
60.2%	3	`(+.f64 (.f64 x y) (.f64 z t))`
64.1%	4	`(*.f64 a b)`
46.1%	4	`(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))`
60.3%	3	`y`
54.1%	5	`z`
55.9%	5	`t`
56.9%	4	`b`
60.2%	4	`a`
61.0%	5	`x`
62.9%	3	`(*.f64 x y)`

Compiler

Compiled 99 to 77 computations (22.2% saved)

regimes6.0ms (0.1%)

Memory

14.9MiB live, 14.9MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	y
1.0ms	(+.f64 (.f64 x y) (.f64 z t))
1.0ms	(*.f64 x y)
1.0ms	(*.f64 a b)

Results

Accuracy	Segments	Branch
56.7%	3	`(+.f64 (.f64 x y) (.f64 z t))`
43.0%	3	`y`
59.0%	3	`(*.f64 a b)`
41.5%	2	`(*.f64 x y)`

Compiler

Compiled 38 to 29 computations (23.7% saved)

regimes18.0ms (0.4%)

Memory

-8.6MiB live, 37.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

11 calls:

4.0ms	a
1.0ms	y
1.0ms	t
1.0ms	x
1.0ms	b

Results

Accuracy	Segments	Branch
37.8%	1	`y`
37.8%	1	`(*.f64 x y)`
37.8%	1	`(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))`
37.8%	1	`z`
37.8%	1	`t`
37.8%	1	`b`
37.8%	1	`(+.f64 (.f64 x y) (.f64 z t))`
37.8%	1	`x`
37.8%	1	`(*.f64 z t)`
37.8%	1	`a`
37.8%	1	`(*.f64 a b)`

Compiler

Compiled 99 to 77 computations (22.2% saved)

bsearch41.0ms (0.8%)

Memory

-4.2MiB live, 70.4MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	2.7771901859623906e+154	1.1690803555523488e+159
11.0ms	1.0189689142500272e+55	1.0755838271126566e+58
14.0ms	-5.931659209822624e+91	-1.5080848196063036e+86

Samples

20.0ms

400×

valid

Compiler

Compiled 654 to 437 computations (33.2% saved)

Precisions

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

ival-mult: 5.0ms (55.6% of total)

ival-add: 3.0ms (33.3% of total)

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

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

bsearch1.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.0189689142500272e+55	1.0755838271126566e+58
1.0ms	-5.931659209822624e+91	-1.5080848196063036e+86

Compiler

Compiled 462 to 309 computations (33.1% saved)

bsearch25.0ms (0.5%)

Memory

7.4MiB live, 45.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.4828269522894456e+143	1.4868943916579786e+148
12.0ms	-5.931659209822624e+91	-1.5080848196063036e+86

Samples

13.0ms

256×

valid

Compiler

Compiled 411 to 292 computations (29% saved)

Precisions

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

ival-mult: 4.0ms (66.9% of total)

ival-add: 2.0ms (33.5% of total)

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

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

bsearch23.0ms (0.5%)

Memory

-49.8MiB live, 19.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	1.8707752552802732e+88	2.984984241321578e+89
14.0ms	-5.931659209822624e+91	-1.5080848196063036e+86

Samples

16.0ms

144×

valid

Compiler

Compiled 320 to 245 computations (23.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 11.0ms (91.2% of total)

ival-add: 1.0ms (8.3% of total)

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

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

bsearch27.0ms (0.5%)

Memory

-2.2MiB live, 36.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	2141594976.7340622	4.288973439852119e+30
8.0ms	-1.0501776642898962e+71	-2.3351913398848388e+70

Samples

15.0ms

272×

valid

Compiler

Compiled 360 to 275 computations (23.6% saved)

Precisions

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

ival-mult: 4.0ms (64.8% of total)

ival-add: 2.0ms (32.4% of total)

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

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

simplify8.0ms (0.2%)

Memory

14.2MiB live, 14.2MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
4×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	356
1	61	356

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
(if (<=.f64 (.f64 x y) #s(literal -156000000000000013325182610850182252726936085750126913169237638271106721083217879760896 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (fma.f64 a b (.f64 x y))) (if (<=.f64 (.f64 x y) #s(literal 2299999999999999884705448443196774551093169438963261243392 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 a b (.f64 t z))) (if (<=.f64 (.f64 x y) #s(literal 144999999999999995681717026945323921449634576927602621237206495536604864593337152666969236725175265429719153326844288931187198925953453709267552910381678592 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 a b (.f64 x y))) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (fma.f64 t z (*.f64 x y))))))
(if (<=.f64 (.f64 x y) #s(literal -156000000000000013325182610850182252726936085750126913169237638271106721083217879760896 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (fma.f64 a b (.f64 x y))) (if (<=.f64 (.f64 x y) #s(literal 2299999999999999884705448443196774551093169438963261243392 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 a b (.f64 t z))) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (fma.f64 a b (*.f64 x y)))))
(if (<=.f64 (.f64 x y) #s(literal -30999999999999999752554979200097081197898049204051385683082698316861865657038334330375503872 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (.f64 x y)) (if (<=.f64 (.f64 x y) #s(literal 60000000000000004890563059170084895917537205848575560543954243539984964735620710122367292449997026447728765778204879586286618491947869680623943680 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 a b (.f64 t z))) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (*.f64 x y))))
(if (<=.f64 (.f64 x y) #s(literal -189999999999999988976339400247098301014796443140233556360718105221488198882669713424384 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (.f64 x y)) (if (<=.f64 (.f64 x y) #s(literal 31000000000000001392189055314437739051198129893479768370987754617436258793888889129926656 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) (.f64 a b)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (*.f64 x y))))
(if (<=.f64 (.f64 a b) #s(literal -31000000000000003014722298260350718090083120274196772430434075911651328 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (.f64 a b)) (if (<=.f64 (.f64 a b) #s(literal 8800000000000000000000 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) (.f64 t z)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (*.f64 a b))))
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (*.f64 a b))

Outputs
(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
(if (<=.f64 (.f64 x y) #s(literal -156000000000000013325182610850182252726936085750126913169237638271106721083217879760896 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (fma.f64 a b (.f64 x y))) (if (<=.f64 (.f64 x y) #s(literal 2299999999999999884705448443196774551093169438963261243392 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 a b (.f64 t z))) (if (<=.f64 (.f64 x y) #s(literal 144999999999999995681717026945323921449634576927602621237206495536604864593337152666969236725175265429719153326844288931187198925953453709267552910381678592 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 a b (.f64 x y))) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (fma.f64 t z (*.f64 x y))))))
(if (<=.f64 (.f64 x y) #s(literal -156000000000000013325182610850182252726936085750126913169237638271106721083217879760896 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (fma.f64 a b (.f64 x y))) (if (<=.f64 (.f64 x y) #s(literal 2299999999999999884705448443196774551093169438963261243392 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 a b (.f64 z t))) (if (<=.f64 (.f64 x y) #s(literal 144999999999999995681717026945323921449634576927602621237206495536604864593337152666969236725175265429719153326844288931187198925953453709267552910381678592 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 a b (.f64 x y))) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (fma.f64 t z (*.f64 x y))))))
(if (<=.f64 (.f64 x y) #s(literal -156000000000000013325182610850182252726936085750126913169237638271106721083217879760896 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (fma.f64 a b (.f64 x y))) (if (<=.f64 (.f64 x y) #s(literal 2299999999999999884705448443196774551093169438963261243392 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 a b (.f64 t z))) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (fma.f64 a b (*.f64 x y)))))
(if (<=.f64 (.f64 x y) #s(literal -156000000000000013325182610850182252726936085750126913169237638271106721083217879760896 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (fma.f64 a b (.f64 x y))) (if (<=.f64 (.f64 x y) #s(literal 2299999999999999884705448443196774551093169438963261243392 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 a b (.f64 z t))) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (fma.f64 a b (*.f64 x y)))))
(if (<=.f64 (.f64 x y) #s(literal -30999999999999999752554979200097081197898049204051385683082698316861865657038334330375503872 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (.f64 x y)) (if (<=.f64 (.f64 x y) #s(literal 60000000000000004890563059170084895917537205848575560543954243539984964735620710122367292449997026447728765778204879586286618491947869680623943680 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 a b (.f64 t z))) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (*.f64 x y))))
(if (<=.f64 (.f64 x y) #s(literal -30999999999999999752554979200097081197898049204051385683082698316861865657038334330375503872 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (.f64 x y)) (if (<=.f64 (.f64 x y) #s(literal 60000000000000004890563059170084895917537205848575560543954243539984964735620710122367292449997026447728765778204879586286618491947869680623943680 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) (fma.f64 a b (.f64 z t))) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (*.f64 x y))))
(if (<=.f64 (.f64 x y) #s(literal -189999999999999988976339400247098301014796443140233556360718105221488198882669713424384 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (.f64 x y)) (if (<=.f64 (.f64 x y) #s(literal 31000000000000001392189055314437739051198129893479768370987754617436258793888889129926656 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) (.f64 a b)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (*.f64 x y))))
(if (<=.f64 (.f64 a b) #s(literal -31000000000000003014722298260350718090083120274196772430434075911651328 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (.f64 a b)) (if (<=.f64 (.f64 a b) #s(literal 8800000000000000000000 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) (.f64 t z)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (*.f64 a b))))
(if (<=.f64 (.f64 a b) #s(literal -31000000000000003014722298260350718090083120274196772430434075911651328 binary64)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (.f64 a b)) (if (<=.f64 (.f64 a b) #s(literal 8800000000000000000000 binary64)) #s(approx (+ (+ (* x y) (* z t)) (* a b)) (.f64 z t)) #s(approx (+ (+ ( x y) (* z t)) (* a b)) (*.f64 a b))))
#s(approx (+ (+ (* x y) (* z t)) (* a b)) (*.f64 a b))

soundness696.0ms (14.2%)

Memory

0.2MiB live, 275.3MiB allocated

Rules

9 200×	`lower-fma.f64`
9 200×	`lower-fma.f32`
3 162×	`lower-*.f64`
3 162×	`lower-*.f32`
1 122×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	1176
1	389	1176
2	1252	1176
3	3052	1176
4	6623	1176
0	8355	1026

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 301 to 133 computations (55.8% saved)

preprocess53.0ms (1.1%)

Memory

23.7MiB live, 139.2MiB allocated

Remove

(sort a b)

(sort z t)

(sort x y)

Compiler

Compiled 588 to 240 computations (59.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample968.0ms (19.7%)

explain181.0ms (3.7%)

preprocess106.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify9.0ms (0.2%)

localize35.0ms (0.7%)

series14.0ms (0.3%)

simplify246.0ms (5%)

rewrite348.0ms (7.1%)

eval54.0ms (1.1%)

prune149.0ms (3%)

simplify6.0ms (0.1%)

localize45.0ms (0.9%)

series27.0ms (0.5%)

simplify227.0ms (4.6%)

rewrite681.0ms (13.9%)

eval77.0ms (1.6%)

prune61.0ms (1.2%)

simplify5.0ms (0.1%)

localize86.0ms (1.8%)

series4.0ms (0.1%)

simplify178.0ms (3.6%)

rewrite335.0ms (6.8%)

eval27.0ms (0.5%)

prune27.0ms (0.5%)

regimes42.0ms (0.9%)

regimes39.0ms (0.8%)

regimes5.0ms (0.1%)

regimes12.0ms (0.2%)

regimes22.0ms (0.5%)

regimes6.0ms (0.1%)

regimes18.0ms (0.4%)

bsearch41.0ms (0.8%)

bsearch1.0ms (0%)

bsearch25.0ms (0.5%)

bsearch23.0ms (0.5%)

bsearch27.0ms (0.5%)

simplify8.0ms (0.2%)

soundness696.0ms (14.2%)

preprocess53.0ms (1.1%)

end0.0ms (0%)

Profiling