Metrics for Optimisation.CirclePacking:place from circle-packing-0.1.0.4, G

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 9 to 9 computations (0% saved)

sample819.0ms (14.6%)

Memory

-22.5MiB live, 941.3MiB allocated

Samples

552.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 212.0ms

ival-add: 127.0ms (60% of total)

ival-mult: 72.0ms (34% of total)

ival-true: 6.0ms (2.8% of total)

exact: 5.0ms (2.4% of total)

ival-assert: 3.0ms (1.4% of total)

Bogosity

explain72.0ms (1.3%)

Memory

22.1MiB live, 107.9MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))`
-	-	`(+.f64 z #s(literal 1 binary64))`
-	-	`y`
-	-	`#s(literal 1 binary64)`
-	-	`(+.f64 x y)`
-	-	`z`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

24.0ms

512×

valid

Compiler

Compiled 48 to 25 computations (47.9% saved)

Precisions

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

ival-add: 5.0ms (50.8% of total)

ival-mult: 4.0ms (40.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess175.0ms (3.1%)

Memory

-13.2MiB live, 65.1MiB allocated

Algorithm

1×	egg-herbie

Rules

1 636×	`unsub-neg`
662×	`distribute-lft-in`
648×	`sub-neg`
638×	`distribute-rgt-in`
418×	`distribute-neg-out`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	68
1	108	64
2	409	63
3	1248	63
4	2953	63
5	4413	63
6	5293	63
7	5413	63
8	5423	63
9	5428	63
10	5503	63
11	5539	63
12	5539	63
13	5598	63
14	5598	63
0	7	7
0	10	7
1	21	7
2	49	7
3	96	7
4	182	7
5	224	7
6	224	7
0	224	7

Stop Event

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

Calls

Call 1

Inputs
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))

Outputs
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))

Symmetry

(sort x y)

Compiler

Compiled 10 to 7 computations (30% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))

Compiler

Compiled 10 to 7 computations (30% saved)

simplify8.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 z #s(literal 1 binary64))
cost-diff	0	(+.f64 x y)
cost-diff	0	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))

Rules

296×	`lower-fma.f64`
296×	`lower-fma.f32`
104×	`lower-+.f32`
100×	`lower-+.f64`
92×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
0	10	17
1	21	17
2	49	17
3	96	17
4	182	17
5	224	17
6	224	17
0	224	17

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(+.f64 x y)
x
y
(+.f64 z #s(literal 1 binary64))
z
#s(literal 1 binary64)

Outputs
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(+.f64 x y)
x
y
(+.f64 z #s(literal 1 binary64))
z
#s(literal 1 binary64)

localize33.0ms (0.6%)

Memory

-1.9MiB live, 38.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 z #s(literal 1 binary64))
accuracy	0	(+.f64 x y)
accuracy	0.01171875	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))

Samples

19.0ms

256×

valid

Compiler

Compiled 19 to 9 computations (52.6% saved)

Precisions

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

ival-add: 10.0ms (81.7% of total)

ival-mult: 2.0ms (16.3% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Memory

-31.3MiB live, 7.8MiB allocated

Counts

3 → 72

Calls

Call 1

Inputs
#s(alt (.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) (patch (.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())
#s(alt (+.f64 z #s(literal 1 binary64)) (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())

Inputs

#s(alt (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) (patch (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())

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

#s(alt (+.f64 z #s(literal 1 binary64)) (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())

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

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(* (+ x y) (+ z 1))
0.0ms	x	@	inf	(* (+ x y) (+ z 1))
0.0ms	x	@	-inf	(* (+ x y) (+ z 1))
0.0ms	y	@	inf	(* (+ x y) (+ z 1))
0.0ms	x	@	0	(* (+ x y) (+ z 1))

simplify242.0ms (4.3%)

Memory

14.8MiB live, 167.0MiB allocated

Algorithm

1×	egg-herbie

Rules

11 054×	`lower-fma.f64`
11 054×	`lower-fma.f32`
2 652×	`lower-*.f64`
2 652×	`lower-*.f32`
2 002×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	322
1	219	322
2	730	322
3	2461	322
4	4974	322
5	7661	322
0	8239	316

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 64

Calls

Call 1

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

Outputs
(* y (+ 1 z))
(fma.f64 y z y)
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* x (+ 1 z))
(fma.f64 z x x)
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* x (+ 1 z))
(fma.f64 z x x)
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* x (+ 1 z))
(fma.f64 z x x)
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* y (+ 1 z))
(fma.f64 y z y)
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* y (+ 1 z))
(fma.f64 y z y)
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+ x y)
(+.f64 y x)
(+ x (+ y (* z (+ x y))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+ x (+ y (* z (+ x y))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+ x (+ y (* z (+ x y))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
y
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
1
#s(literal 1 binary64)
(+ 1 z)
(+.f64 #s(literal 1 binary64) z)
(+ 1 z)
(+.f64 #s(literal 1 binary64) z)
(+ 1 z)
(+.f64 #s(literal 1 binary64) z)
z
(* z (+ 1 (/ 1 z)))
(+.f64 #s(literal 1 binary64) z)
(* z (+ 1 (/ 1 z)))
(+.f64 #s(literal 1 binary64) z)
(* z (+ 1 (/ 1 z)))
(+.f64 #s(literal 1 binary64) z)
z
(* z (+ 1 (/ 1 z)))
(+.f64 #s(literal 1 binary64) z)
(* z (+ 1 (/ 1 z)))
(+.f64 #s(literal 1 binary64) z)
(* z (+ 1 (/ 1 z)))
(+.f64 #s(literal 1 binary64) z)

rewrite336.0ms (6%)

Memory

23.8MiB live, 224.8MiB allocated

Rules

4 398×	`lower-*.f32`
4 396×	`lower-*.f64`
3 796×	`lower-fma.f64`
3 796×	`lower-fma.f32`
3 164×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
0	10	13
1	46	13
2	367	13
3	5570	13
0	8646	13

Stop Event

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

Counts

3 → 415

Calls

Call 1

Inputs
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(+.f64 x y)
(+.f64 z #s(literal 1 binary64))

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

eval79.0ms (1.4%)

Memory: -7.1MiB live, 78.0MiB allocated
Compiler: Compiled 10 945 to 1 121 computations (89.8% saved)

prune213.0ms (3.8%)

Memory

-19.7MiB live, 138.5MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	474	5	479
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	475	5	480

Accuracy

100.0%

Counts

480 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(fma.f64 (+.f64 z #s(literal 1 binary64)) y (fma.f64 x z x))
▶	49.6%	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
▶	53.6%	#s(approx (* (+ x y) (+ z 1)) (fma.f64 y z y))
▶	56.4%	#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
▶	45.2%	#s(approx (* (+ x y) (+ z 1)) (*.f64 z (+.f64 y x)))

Compiler

Compiled 88 to 48 computations (45.5% saved)

simplify10.0ms (0.2%)

Memory

12.9MiB live, 12.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 y x)
cost-diff	0	(*.f64 z (+.f64 y x))
cost-diff	0	#s(approx (* (+ x y) (+ z 1)) (*.f64 z (+.f64 y x)))
cost-diff	0	(fma.f64 z x x)
cost-diff	0	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
cost-diff	0	(fma.f64 y z y)
cost-diff	0	#s(approx (* (+ x y) (+ z 1)) (fma.f64 y z y))
cost-diff	0	(+.f64 y x)
cost-diff	0	#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
cost-diff	0	(fma.f64 x z x)
cost-diff	0	(+.f64 z #s(literal 1 binary64))
cost-diff	256	(fma.f64 (+.f64 z #s(literal 1 binary64)) y (fma.f64 x z x))

Rules

296×	`lower-fma.f32`
288×	`lower-fma.f64`
104×	`lower-+.f32`
100×	`lower-+.f64`
92×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	96
0	29	96
1	55	94
2	83	94
3	125	94
4	210	94
5	234	94
6	234	94
0	234	94

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 (+.f64 z #s(literal 1 binary64)) y (fma.f64 x z x))
(+.f64 z #s(literal 1 binary64))
z
#s(literal 1 binary64)
y
(fma.f64 x z x)
x
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
(+.f64 y x)
y
x
#s(approx (* (+ x y) (+ z 1)) (fma.f64 y z y))
(fma.f64 y z y)
y
z
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
(fma.f64 z x x)
z
x
#s(approx (* (+ x y) (+ z 1)) (*.f64 z (+.f64 y x)))
(*.f64 z (+.f64 y x))
z
(+.f64 y x)
y
x

Outputs
(fma.f64 (+.f64 z #s(literal 1 binary64)) y (fma.f64 x z x))
(*.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 y x))
(+.f64 z #s(literal 1 binary64))
z
#s(literal 1 binary64)
y
(fma.f64 x z x)
(fma.f64 z x x)
x
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
(+.f64 y x)
y
x
#s(approx (* (+ x y) (+ z 1)) (fma.f64 y z y))
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
(fma.f64 y z y)
(fma.f64 z y y)
y
z
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
(fma.f64 z x x)
z
x
#s(approx (* (+ x y) (+ z 1)) (*.f64 z (+.f64 y x)))
(*.f64 z (+.f64 y x))
z
(+.f64 y x)
y
x

localize75.0ms (1.3%)

Memory

4.2MiB live, 78.1MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y x)
accuracy	0.015625	(*.f64 z (+.f64 y x))
accuracy	35.08700478314225	#s(approx (* (+ x y) (+ z 1)) (*.f64 z (+.f64 y x)))
accuracy	0	(fma.f64 z x x)
accuracy	32.2487345645137	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
accuracy	0	(fma.f64 y z y)
accuracy	29.726965832222955	#s(approx (* (+ x y) (+ z 1)) (fma.f64 y z y))
accuracy	0	(+.f64 y x)
accuracy	27.90654398693778	#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
accuracy	0	(fma.f64 x z x)
accuracy	0	(+.f64 z #s(literal 1 binary64))
accuracy	0.7499917428166807	(fma.f64 (+.f64 z #s(literal 1 binary64)) y (fma.f64 x z x))

Samples

58.0ms

256×

valid

Compiler

Compiled 83 to 19 computations (77.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-add: 22.0ms (68.9% of total)

ival-mult: 10.0ms (31.3% of total)

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

exact: 0.0ms (0% of total)

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

series37.0ms (0.7%)

Memory

-7.1MiB live, 28.9MiB allocated

Counts

11 → 324

Calls

Call 1

Inputs
#s(alt (fma.f64 (+.f64 z #s(literal 1 binary64)) y (fma.f64 x z x)) (patch (fma.f64 (+.f64 z #s(literal 1 binary64)) y (fma.f64 x z x)) #<representation binary64>) () ())
#s(alt (+.f64 z #s(literal 1 binary64)) (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x z x) (patch (fma.f64 x z x) #<representation binary64>) () ())
#s(alt #s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) (patch #s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) #<representation binary64>) () ())
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())
#s(alt #s(approx (* (+ x y) (+ z 1)) (fma.f64 y z y)) (patch #s(approx (* (+ x y) (+ z 1)) (fma.f64 y z y)) #<representation binary64>) () ())
#s(alt (fma.f64 y z y) (patch (fma.f64 y z y) #<representation binary64>) () ())
#s(alt #s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) (patch #s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) #<representation binary64>) () ())
#s(alt (fma.f64 z x x) (patch (fma.f64 z x x) #<representation binary64>) () ())
#s(alt #s(approx (* (+ x y) (+ z 1)) (.f64 z (+.f64 y x))) (patch #s(approx ( (+ x y) (+ z 1)) (*.f64 z (+.f64 y x))) #<representation binary64>) () ())
#s(alt (.f64 z (+.f64 y x)) (patch (.f64 z (+.f64 y x)) #<representation binary64>) () ())

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

Calls

81 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(* z (+ y x))
1.0ms	z	@	-inf	(+ (* (+ z 1) y) (+ (* x z) x))
0.0ms	y	@	-inf	(+ (* (+ z 1) y) (+ (* x z) x))
0.0ms	y	@	0	(+ (* (+ z 1) y) (+ (* x z) x))
0.0ms	z	@	inf	(+ (* (+ z 1) y) (+ (* x z) x))

simplify326.0ms (5.8%)

Memory

0.9MiB live, 286.5MiB allocated

Algorithm

1×	egg-herbie

Rules

11 282×	`lower-fma.f64`
11 282×	`lower-fma.f32`
3 054×	`lower--.f64`
3 054×	`lower--.f32`
2 458×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	2024
1	443	1754
2	1345	1754
3	4027	1754
4	6750	1754
0	8288	1661

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 313

Calls

Call 1

Inputs
(+ x y)
(+ x (+ y (* z (+ x y))))
(+ x (+ y (* z (+ x y))))
(+ x (+ y (* z (+ x y))))
(* z (+ x y))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(* -1 (* z (+ (* -1 x) (* -1 y))))
(* -1 (* z (+ (* -1 x) (+ (* -1 y) (* -1 (/ (+ x y) z))))))
(* -1 (* z (+ (* -1 x) (+ (* -1 y) (* -1 (/ (+ x y) z))))))
(* -1 (* z (+ (* -1 x) (+ (* -1 y) (* -1 (/ (+ x y) z))))))
(+ x (* x z))
(+ x (+ (* x z) (* y (+ 1 z))))
(+ x (+ (* x z) (* y (+ 1 z))))
(+ x (+ (* x z) (* y (+ 1 z))))
(* y (+ 1 z))
(* y (+ 1 (+ z (+ (/ x y) (/ (* x z) y)))))
(* y (+ 1 (+ z (+ (/ x y) (/ (* x z) y)))))
(* y (+ 1 (+ z (+ (/ x y) (/ (* x z) y)))))
(* y (+ 1 z))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (+ x (* x z)) y)))))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (+ x (* x z)) y)))))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (+ x (* x z)) y)))))
(* y (+ 1 z))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(* x (+ 1 z))
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(* -1 (* x (- (* -1 z) 1)))
(* -1 (* x (- (+ (* -1 z) (* -1 (/ (* y (+ 1 z)) x))) 1)))
(* -1 (* x (- (+ (* -1 z) (* -1 (/ (* y (+ 1 z)) x))) 1)))
(* -1 (* x (- (+ (* -1 z) (* -1 (/ (* y (+ 1 z)) x))) 1)))
1
(+ 1 z)
(+ 1 z)
(+ 1 z)
z
(* z (+ 1 (/ 1 z)))
(* z (+ 1 (/ 1 z)))
(* z (+ 1 (/ 1 z)))
z
(* z (+ 1 (/ 1 z)))
(* z (+ 1 (/ 1 z)))
(* z (+ 1 (/ 1 z)))
(* x (+ 1 z))
(* x (+ 1 z))
(* x (+ 1 z))
(* x (+ 1 z))
(* x (+ 1 z))
(* x (+ 1 z))
(* x (+ 1 z))
(* x (+ 1 z))
(* -1 (* x (- (* -1 z) 1)))
(* -1 (* x (- (* -1 z) 1)))
(* -1 (* x (- (* -1 z) 1)))
(* -1 (* x (- (* -1 z) 1)))
x
(+ x (* x z))
(+ x (* x z))
(+ x (* x z))
(* x z)
(* z (+ x (/ x z)))
(* z (+ x (/ x z)))
(* z (+ x (/ x z)))
(* x z)
(* -1 (* z (+ (* -1 x) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ x z)))))
(* y (+ 1 z))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(* x (+ 1 z))
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(* x (+ 1 z))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(* x (+ 1 z))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(* y (+ 1 z))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(* y (+ 1 z))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
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(+ x y)
(+.f64 x y)
(+ x (+ y (* z (+ x y))))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(+ x (+ y (* z (+ x y))))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(+ x (+ y (* z (+ x y))))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(* z (+ x y))
(*.f64 (+.f64 x y) z)
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(* z (+ x y))
(*.f64 (+.f64 x y) z)
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(* y (+ 1 z))
(fma.f64 y z y)
(* y (+ 1 z))
(fma.f64 y z y)
(* y (+ 1 z))
(fma.f64 y z y)
(* y (+ 1 z))
(fma.f64 y z y)
(* y (+ 1 z))
(fma.f64 y z y)
(* y (+ 1 z))
(fma.f64 y z y)
(* y (+ 1 z))
(fma.f64 y z y)
(* y (+ 1 z))
(fma.f64 y z y)
(* -1 (* y (- (* -1 z) 1)))
(fma.f64 y z y)
(* -1 (* y (- (* -1 z) 1)))
(fma.f64 y z y)
(* -1 (* y (- (* -1 z) 1)))
(fma.f64 y z y)
(* -1 (* y (- (* -1 z) 1)))
(fma.f64 y z y)
y
(+ y (* y z))
(fma.f64 y z y)
(+ y (* y z))
(fma.f64 y z y)
(+ y (* y z))
(fma.f64 y z y)
(* y z)
(*.f64 y z)
(* z (+ y (/ y z)))
(fma.f64 y z y)
(* z (+ y (/ y z)))
(fma.f64 y z y)
(* z (+ y (/ y z)))
(fma.f64 y z y)
(* y z)
(*.f64 y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ y z)))))
(fma.f64 y z y)
(* -1 (* z (+ (* -1 y) (* -1 (/ y z)))))
(fma.f64 y z y)
(* -1 (* z (+ (* -1 y) (* -1 (/ y z)))))
(fma.f64 y z y)
(* y (+ 1 z))
(fma.f64 y z y)
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(* x (+ 1 z))
(fma.f64 x z x)
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(* x (+ 1 z))
(fma.f64 x z x)
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(* x (+ 1 z))
(fma.f64 x z x)
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(* y (+ 1 z))
(fma.f64 y z y)
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(* y (+ 1 z))
(fma.f64 y z y)
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(+ x y)
(+.f64 x y)
(+ x (+ y (* z (+ x y))))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(+ x (+ y (* z (+ x y))))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(+ x (+ y (* z (+ x y))))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(* z (+ x y))
(*.f64 (+.f64 x y) z)
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(* z (+ x y))
(*.f64 (+.f64 x y) z)
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
x
(+ x (* x z))
(fma.f64 x z x)
(+ x (* x z))
(fma.f64 x z x)
(+ x (* x z))
(fma.f64 x z x)
(* x z)
(*.f64 x z)
(* z (+ x (/ x z)))
(fma.f64 x z x)
(* z (+ x (/ x z)))
(fma.f64 x z x)
(* z (+ x (/ x z)))
(fma.f64 x z x)
(* x z)
(*.f64 x z)
(* -1 (* z (+ (* -1 x) (* -1 (/ x z)))))
(fma.f64 x z x)
(* -1 (* z (+ (* -1 x) (* -1 (/ x z)))))
(fma.f64 x z x)
(* -1 (* z (+ (* -1 x) (* -1 (/ x z)))))
(fma.f64 x z x)
(* x (+ 1 z))
(fma.f64 x z x)
(* x (+ 1 z))
(fma.f64 x z x)
(* x (+ 1 z))
(fma.f64 x z x)
(* x (+ 1 z))
(fma.f64 x z x)
(* x (+ 1 z))
(fma.f64 x z x)
(* x (+ 1 z))
(fma.f64 x z x)
(* x (+ 1 z))
(fma.f64 x z x)
(* x (+ 1 z))
(fma.f64 x z x)
(* -1 (* x (- (* -1 z) 1)))
(fma.f64 x z x)
(* -1 (* x (- (* -1 z) 1)))
(fma.f64 x z x)
(* -1 (* x (- (* -1 z) 1)))
(fma.f64 x z x)
(* -1 (* x (- (* -1 z) 1)))
(fma.f64 x z x)
(* y (+ 1 z))
(fma.f64 y z y)
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(* x (+ 1 z))
(fma.f64 x z x)
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(* x (+ 1 z))
(fma.f64 x z x)
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(* x (+ 1 z))
(fma.f64 x z x)
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(* y (+ 1 z))
(fma.f64 y z y)
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(* y (+ 1 z))
(fma.f64 y z y)
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(+ x y)
(+.f64 x y)
(+ x (+ y (* z (+ x y))))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(+ x (+ y (* z (+ x y))))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(+ x (+ y (* z (+ x y))))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(* z (+ x y))
(*.f64 (+.f64 x y) z)
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(* z (+ x y))
(*.f64 (+.f64 x y) z)
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(* z (+ x y))
(*.f64 (+.f64 x y) z)
(* z (+ x y))
(*.f64 (+.f64 x y) z)
(* z (+ x y))
(*.f64 (+.f64 x y) z)
(* z (+ x y))
(*.f64 (+.f64 x y) z)
(* z (+ x y))
(*.f64 (+.f64 x y) z)
(* z (+ x y))
(*.f64 (+.f64 x y) z)
(* z (+ x y))
(*.f64 (+.f64 x y) z)
(* z (+ x y))
(*.f64 (+.f64 x y) z)
(* z (+ x y))
(*.f64 (+.f64 x y) z)
(* z (+ x y))
(*.f64 (+.f64 x y) z)
(* z (+ x y))
(*.f64 (+.f64 x y) z)
(* z (+ x y))
(*.f64 (+.f64 x y) z)
(* x z)
(*.f64 x z)
(+ (* x z) (* y z))
(*.f64 (+.f64 x y) z)
(+ (* x z) (* y z))
(*.f64 (+.f64 x y) z)
(+ (* x z) (* y z))
(*.f64 (+.f64 x y) z)
(* y z)
(*.f64 y z)
(* y (+ z (/ (* x z) y)))
(*.f64 (+.f64 x y) z)
(* y (+ z (/ (* x z) y)))
(*.f64 (+.f64 x y) z)
(* y (+ z (/ (* x z) y)))
(*.f64 (+.f64 x y) z)
(* y z)
(*.f64 y z)
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(*.f64 (+.f64 x y) z)
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(*.f64 (+.f64 x y) z)
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(*.f64 (+.f64 x y) z)
(* y z)
(*.f64 y z)
(+ (* x z) (* y z))
(*.f64 (+.f64 x y) z)
(+ (* x z) (* y z))
(*.f64 (+.f64 x y) z)
(+ (* x z) (* y z))
(*.f64 (+.f64 x y) z)
(* x z)
(*.f64 x z)
(* x (+ z (/ (* y z) x)))
(*.f64 (+.f64 x y) z)
(* x (+ z (/ (* y z) x)))
(*.f64 (+.f64 x y) z)
(* x (+ z (/ (* y z) x)))
(*.f64 (+.f64 x y) z)
(* x z)
(*.f64 x z)
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(*.f64 (+.f64 x y) z)
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(*.f64 (+.f64 x y) z)
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(*.f64 (+.f64 x y) z)

rewrite335.0ms (6%)

Memory

5.4MiB live, 474.0MiB allocated

Rules

4 718×	`lower-/.f64`
4 718×	`lower-/.f32`
4 070×	`lower-fma.f32`
4 062×	`lower-fma.f64`
3 986×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	80
0	29	80
1	133	78
2	1007	78
0	8274	78

Stop Event

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

Counts

11 → 1 086

Calls

Call 1

Inputs
(fma.f64 (+.f64 z #s(literal 1 binary64)) y (fma.f64 x z x))
(+.f64 z #s(literal 1 binary64))
(fma.f64 x z x)
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
(+.f64 y x)
#s(approx (* (+ x y) (+ z 1)) (fma.f64 y z y))
(fma.f64 y z y)
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
(fma.f64 z x x)
#s(approx (* (+ x y) (+ z 1)) (*.f64 z (+.f64 y x)))
(*.f64 z (+.f64 y x))

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

eval281.0ms (5%)

Memory: 36.8MiB live, 387.0MiB allocated
Compiler: Compiled 45 301 to 2 863 computations (93.7% saved)

prune272.0ms (4.9%)

Memory

-26.2MiB live, 481.5MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	1 492	3	1 495
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	1 493	7	1 500

Accuracy

100.0%

Counts

1 500 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	44.0%	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y (*.f64 z x)))
✓	49.6%	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
✓	53.6%	#s(approx (* (+ x y) (+ z 1)) (fma.f64 y z y))
✓	56.4%	#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
✓	45.2%	#s(approx (* (+ x y) (+ z 1)) (*.f64 z (+.f64 y x)))
▶	21.6%	#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 x z)))
▶	27.4%	#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* y z) y) (*.f64 y z)))

Compiler

Compiled 58 to 30 computations (48.3% saved)

simplify14.0ms (0.3%)

Memory

-15.1MiB live, 24.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 z x)
cost-diff	0	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y (*.f64 z x)))
cost-diff	192	(fma.f64 z y (*.f64 z x))
cost-diff	0	(*.f64 x z)
cost-diff	0	#s(approx (+ (* z x) x) (*.f64 x z))
cost-diff	0	#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 x z)))
cost-diff	0	(*.f64 y z)
cost-diff	0	#s(approx (+ (* y z) y) (*.f64 y z))
cost-diff	0	#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* y z) y) (*.f64 y z)))

Rules

296×	`lower-fma.f32`
294×	`lower-fma.f64`
104×	`lower-+.f64`
104×	`lower-+.f32`
92×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	88
0	25	86
1	45	86
2	71	86
3	116	86
4	224	86
5	248	86
6	248	86
0	248	82

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* y z) y) (*.f64 y z)))
#s(approx (+ (* y z) y) (*.f64 y z))
(*.f64 y z)
y
z
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 x z)))
#s(approx (+ (* z x) x) (*.f64 x z))
(*.f64 x z)
x
z
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y (*.f64 z x)))
(fma.f64 z y (*.f64 z x))
z
y
(*.f64 z x)
x

Outputs
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* y z) y) (*.f64 y z)))
#s(approx (+ (* y z) y) (*.f64 y z))
(*.f64 y z)
y
z
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 x z)))
#s(approx (+ (* z x) x) (*.f64 x z))
(*.f64 x z)
x
z
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y (*.f64 z x)))
#s(approx (* (+ x y) (+ z 1)) (*.f64 (+.f64 x y) z))
(fma.f64 z y (*.f64 z x))
(*.f64 (+.f64 x y) z)
z
y
(*.f64 z x)
(*.f64 x z)
x

localize42.0ms (0.8%)

Memory

-10.3MiB live, 104.4MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z x)
accuracy	0.7499917428166807	(fma.f64 z y (*.f64 z x))
accuracy	35.08700478314225	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y (*.f64 z x)))
accuracy	0	(*.f64 x z)
accuracy	32.2487345645137	#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 x z)))
accuracy	34.76023726215731	#s(approx (+ (* z x) x) (*.f64 x z))
accuracy	0	(*.f64 y z)
accuracy	29.726965832222955	#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* y z) y) (*.f64 y z)))
accuracy	34.978039099633605	#s(approx (+ (* y z) y) (*.f64 y z))

Samples

28.0ms

256×

valid

Compiler

Compiled 56 to 16 computations (71.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 8.0ms (49.7% of total)

ival-add: 7.0ms (43.5% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Memory

25.1MiB live, 25.1MiB allocated

Counts

9 → 264

Calls

Call 1

Inputs
#s(alt #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* y z) y) (.f64 y z))) (patch #s(approx ( (+ x y) (+ z 1)) #s(approx (+ (* y z) y) (*.f64 y z))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* y z) y) (.f64 y z)) (patch #s(approx (+ ( y z) y) (*.f64 y z)) #<representation binary64>) () ())
#s(alt (.f64 y z) (patch (.f64 y z) #<representation binary64>) () ())
#s(alt #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (.f64 x z))) (patch #s(approx ( (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 x z))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* z x) x) (.f64 x z)) (patch #s(approx (+ ( z x) x) (*.f64 x z)) #<representation binary64>) () ())
#s(alt (.f64 x z) (patch (.f64 x z) #<representation binary64>) () ())
#s(alt (fma.f64 z y (.f64 z x)) (patch (fma.f64 z y (.f64 z x)) #<representation binary64>) () ())
#s(alt #s(approx (* (+ x y) (+ z 1)) (fma.f64 z y (.f64 z x))) (patch #s(approx ( (+ x y) (+ z 1)) (fma.f64 z y (*.f64 z x))) #<representation binary64>) () ())
#s(alt (.f64 z x) (patch (.f64 z x) #<representation binary64>) () ())

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

Calls

66 calls:

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

simplify236.0ms (4.2%)

Memory

1.9MiB live, 365.6MiB allocated

Algorithm

1×	egg-herbie

Rules

11 394×	`lower-fma.f64`
11 394×	`lower-fma.f32`
2 976×	`lower-*.f64`
2 976×	`lower-*.f32`
1 238×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	1304
1	323	1304
2	1004	1304
3	3053	1304
4	5965	1304
0	8086	1244

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 262

Calls

Call 1

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

Outputs
(* y (+ 1 z))
(fma.f64 y z y)
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* x (+ 1 z))
(fma.f64 z x x)
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* x (+ 1 z))
(fma.f64 z x x)
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* x (+ 1 z))
(fma.f64 z x x)
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* y (+ 1 z))
(fma.f64 y z y)
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* y (+ 1 z))
(fma.f64 y z y)
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+ x y)
(+.f64 y x)
(+ x (+ y (* z (+ x y))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+ x (+ y (* z (+ x y))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+ x (+ y (* z (+ x y))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* y (+ 1 z))
(fma.f64 y z y)
(* y (+ 1 z))
(fma.f64 y z y)
(* y (+ 1 z))
(fma.f64 y z y)
(* y (+ 1 z))
(fma.f64 y z y)
(* y (+ 1 z))
(fma.f64 y z y)
(* y (+ 1 z))
(fma.f64 y z y)
(* y (+ 1 z))
(fma.f64 y z y)
(* y (+ 1 z))
(fma.f64 y z y)
(* -1 (* y (- (* -1 z) 1)))
(fma.f64 y z y)
(* -1 (* y (- (* -1 z) 1)))
(fma.f64 y z y)
(* -1 (* y (- (* -1 z) 1)))
(fma.f64 y z y)
(* -1 (* y (- (* -1 z) 1)))
(fma.f64 y z y)
y
(+ y (* y z))
(fma.f64 y z y)
(+ y (* y z))
(fma.f64 y z y)
(+ y (* y z))
(fma.f64 y z y)
(* y z)
(*.f64 y z)
(* z (+ y (/ y z)))
(fma.f64 y z y)
(* z (+ y (/ y z)))
(fma.f64 y z y)
(* z (+ y (/ y z)))
(fma.f64 y z y)
(* y z)
(*.f64 y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ y z)))))
(fma.f64 y z y)
(* -1 (* z (+ (* -1 y) (* -1 (/ y z)))))
(fma.f64 y z y)
(* -1 (* z (+ (* -1 y) (* -1 (/ y z)))))
(fma.f64 y z y)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y (+ 1 z))
(fma.f64 y z y)
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* x (+ 1 z))
(fma.f64 z x x)
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* x (+ 1 z))
(fma.f64 z x x)
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* x (+ 1 z))
(fma.f64 z x x)
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* y (+ 1 z))
(fma.f64 y z y)
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* y (+ 1 z))
(fma.f64 y z y)
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+ x y)
(+.f64 y x)
(+ x (+ y (* z (+ x y))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+ x (+ y (* z (+ x y))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+ x (+ y (* z (+ x y))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
x
(+ x (* x z))
(fma.f64 z x x)
(+ x (* x z))
(fma.f64 z x x)
(+ x (* x z))
(fma.f64 z x x)
(* x z)
(*.f64 z x)
(* z (+ x (/ x z)))
(fma.f64 z x x)
(* z (+ x (/ x z)))
(fma.f64 z x x)
(* z (+ x (/ x z)))
(fma.f64 z x x)
(* x z)
(*.f64 z x)
(* -1 (* z (+ (* -1 x) (* -1 (/ x z)))))
(fma.f64 z x x)
(* -1 (* z (+ (* -1 x) (* -1 (/ x z)))))
(fma.f64 z x x)
(* -1 (* z (+ (* -1 x) (* -1 (/ x z)))))
(fma.f64 z x x)
(* x (+ 1 z))
(fma.f64 z x x)
(* x (+ 1 z))
(fma.f64 z x x)
(* x (+ 1 z))
(fma.f64 z x x)
(* x (+ 1 z))
(fma.f64 z x x)
(* x (+ 1 z))
(fma.f64 z x x)
(* x (+ 1 z))
(fma.f64 z x x)
(* x (+ 1 z))
(fma.f64 z x x)
(* x (+ 1 z))
(fma.f64 z x x)
(* -1 (* x (- (* -1 z) 1)))
(fma.f64 z x x)
(* -1 (* x (- (* -1 z) 1)))
(fma.f64 z x x)
(* -1 (* x (- (* -1 z) 1)))
(fma.f64 z x x)
(* -1 (* x (- (* -1 z) 1)))
(fma.f64 z x x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* -1 (* z (+ (* -1 x) (* -1 y))))
(*.f64 z (+.f64 y x))
(* -1 (* z (+ (* -1 x) (* -1 y))))
(*.f64 z (+.f64 y x))
(* -1 (* z (+ (* -1 x) (* -1 y))))
(*.f64 z (+.f64 y x))
(* -1 (* z (+ (* -1 x) (* -1 y))))
(*.f64 z (+.f64 y x))
(* x z)
(*.f64 z x)
(+ (* x z) (* y z))
(*.f64 z (+.f64 y x))
(+ (* x z) (* y z))
(*.f64 z (+.f64 y x))
(+ (* x z) (* y z))
(*.f64 z (+.f64 y x))
(* y z)
(*.f64 y z)
(* y (+ z (/ (* x z) y)))
(*.f64 z (+.f64 y x))
(* y (+ z (/ (* x z) y)))
(*.f64 z (+.f64 y x))
(* y (+ z (/ (* x z) y)))
(*.f64 z (+.f64 y x))
(* y z)
(*.f64 y z)
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(*.f64 z (+.f64 y x))
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(*.f64 z (+.f64 y x))
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(*.f64 z (+.f64 y x))
(* y z)
(*.f64 y z)
(+ (* x z) (* y z))
(*.f64 z (+.f64 y x))
(+ (* x z) (* y z))
(*.f64 z (+.f64 y x))
(+ (* x z) (* y z))
(*.f64 z (+.f64 y x))
(* x z)
(*.f64 z x)
(* x (+ z (/ (* y z) x)))
(*.f64 z (+.f64 y x))
(* x (+ z (/ (* y z) x)))
(*.f64 z (+.f64 y x))
(* x (+ z (/ (* y z) x)))
(*.f64 z (+.f64 y x))
(* x z)
(*.f64 z x)
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(*.f64 z (+.f64 y x))
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(*.f64 z (+.f64 y x))
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(*.f64 z (+.f64 y x))
(* y (+ 1 z))
(fma.f64 y z y)
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* x (+ 1 z))
(fma.f64 z x x)
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* x (+ 1 z))
(fma.f64 z x x)
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* x (+ 1 z))
(fma.f64 z x x)
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* y (+ 1 z))
(fma.f64 y z y)
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* y (+ 1 z))
(fma.f64 y z y)
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+ x y)
(+.f64 y x)
(+ x (+ y (* z (+ x y))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+ x (+ y (* z (+ x y))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+ x (+ y (* z (+ x y))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)

rewrite672.0ms (12%)

Memory

1.2MiB live, 385.0MiB allocated

Rules

10 550×	`lower-fma.f32`
10 548×	`lower-fma.f64`
5 522×	`lower-*.f32`
5 516×	`lower-*.f64`
3 498×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	81
0	25	79
1	105	79
2	727	79
0	8438	75

Stop Event

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

Counts

9 → 99

Calls

Call 1

Inputs
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* y z) y) (*.f64 y z)))
#s(approx (+ (* y z) y) (*.f64 y z))
(*.f64 y z)
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 x z)))
#s(approx (+ (* z x) x) (*.f64 x z))
(*.f64 x z)
(fma.f64 z y (*.f64 z x))
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y (*.f64 z x)))
(*.f64 z x)

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

eval83.0ms (1.5%)

Memory: -7.5MiB live, 80.5MiB allocated
Compiler: Compiled 3 775 to 224 computations (94.1% saved)

prune246.0ms (4.4%)

Memory

-14.8MiB live, 63.2MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	361	0	361
Fresh	0	0	0
Picked	0	3	3
Done	0	4	4
Total	361	7	368

Accuracy

100.0%

Counts

368 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	44.0%	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y (*.f64 z x)))
✓	49.6%	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
✓	53.6%	#s(approx (* (+ x y) (+ z 1)) (fma.f64 y z y))
✓	56.4%	#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
✓	45.2%	#s(approx (* (+ x y) (+ z 1)) (*.f64 z (+.f64 y x)))
✓	21.6%	#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 x z)))
✓	27.4%	#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* y z) y) (*.f64 y z)))

Compiler

Compiled 114 to 47 computations (58.8% saved)

regimes32.0ms (0.6%)

Memory

7.5MiB live, 45.8MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* y z) y) (*.f64 y z)))
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 x z)))
#s(approx (* (+ x y) (+ z 1)) (fma.f64 y z y))
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
#s(approx (* (+ x y) (+ z 1)) (*.f64 z (+.f64 y x)))
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y (*.f64 z x)))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(fma.f64 (+.f64 z #s(literal 1 binary64)) y (fma.f64 x z x))

Outputs
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))

Calls

6 calls:

15.0ms	y
3.0ms	x
3.0ms	(+.f64 x y)
3.0ms	z
3.0ms	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))`
100.0%	1	`(+.f64 x y)`
100.0%	1	`(+.f64 z #s(literal 1 binary64))`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes105.0ms (1.9%)

Memory

-18.4MiB live, 71.8MiB allocated

Counts

7 → 2

Calls

Call 1

Inputs
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* y z) y) (*.f64 y z)))
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 x z)))
#s(approx (* (+ x y) (+ z 1)) (fma.f64 y z y))
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
#s(approx (* (+ x y) (+ z 1)) (*.f64 z (+.f64 y x)))
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y (*.f64 z x)))

Outputs
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
#s(approx (* (+ x y) (+ z 1)) (fma.f64 y z y))

Calls

6 calls:

51.0ms	y
42.0ms	x
3.0ms	(+.f64 x y)
3.0ms	z
3.0ms	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
85.3%	3	`x`
85.4%	2	`y`
97.7%	3	`z`
87.7%	4	`(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))`
98.5%	2	`(+.f64 x y)`
97.7%	3	`(+.f64 z #s(literal 1 binary64))`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes13.0ms (0.2%)

Memory

31.4MiB live, 31.4MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* y z) y) (*.f64 y z)))
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 x z)))
#s(approx (* (+ x y) (+ z 1)) (fma.f64 y z y))

Outputs
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
#s(approx (* (+ x y) (+ z 1)) (fma.f64 y z y))

Calls

6 calls:

2.0ms	(+.f64 x y)
2.0ms	y
2.0ms	x
2.0ms	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
2.0ms	z

Results

Accuracy	Segments	Branch
73.8%	2	`x`
74.1%	3	`(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))`
72.3%	2	`y`
82.9%	4	`z`
82.9%	4	`(+.f64 z #s(literal 1 binary64))`
80.5%	2	`(+.f64 x y)`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes9.0ms (0.2%)

Memory

-25.0MiB live, 13.8MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* y z) y) (*.f64 y z)))
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 x z)))

Outputs
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* y z) y) (*.f64 y z)))
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 x z)))

Calls

3 calls:

4.0ms	(+.f64 z #s(literal 1 binary64))
2.0ms	(+.f64 x y)
2.0ms	z

Results

Accuracy	Segments	Branch
80.7%	3	`z`
80.7%	3	`(+.f64 z #s(literal 1 binary64))`
61.5%	3	`(+.f64 x y)`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes3.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* y z) y) (*.f64 y z)))

Outputs
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* y z) y) (*.f64 y z)))
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* y z) y) (*.f64 y z)))

Calls

2 calls:

1.0ms	z
1.0ms	(+.f64 z #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
80.4%	3	`z`
80.4%	3	`(+.f64 z #s(literal 1 binary64))`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes8.0ms (0.1%)

Memory

21.9MiB live, 21.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))

Outputs
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))

Calls

6 calls:

1.0ms	y
1.0ms	(+.f64 x y)
1.0ms	x
1.0ms	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
1.0ms	z

Results

Accuracy	Segments	Branch
56.4%	1	`(+.f64 x y)`
56.4%	1	`y`
56.4%	1	`(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))`
56.4%	1	`x`
56.4%	1	`z`
56.4%	1	`(+.f64 z #s(literal 1 binary64))`

Compiler

Compiled 34 to 25 computations (26.5% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.803697357707549e-252	4.799709546400625e-271

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.803697357707549e-252	4.799709546400625e-271

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.289487270343466	14807.247195133737
0.0ms	-56520150.59370094	0.9999999881963699

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	16599.302593260694	293590.87662841234
0.0ms	-56520150.59370094	0.9999999881963699

Compiler

Compiled 13 to 13 computations (0% saved)

simplify15.0ms (0.3%)

Memory

-12.9MiB live, 25.8MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
4×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	191
1	48	191

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(if (<=.f64 (+.f64 x y) #s(literal -8254602048994769/4127301024497384737127654569660285988428494734657199391624693039270889863724412964643884811622321780427143710884821317803768340308614730759769835769241715444596770968742227220068214981847081570726751819595399909407406471037121576084674975771617472472574520163263578112 binary64)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 y z y)))
(if (<=.f64 (+.f64 x y) #s(literal -8254602048994769/4127301024497384737127654569660285988428494734657199391624693039270889863724412964643884811622321780427143710884821317803768340308614730759769835769241715444596770968742227220068214981847081570726751819595399909407406471037121576084674975771617472472574520163263578112 binary64)) #s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 y z y)))
(if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -50000000 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* y z) y) (.f64 y z))) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 5 binary64)) #s(approx ( (+ x y) (+ z 1)) (+.f64 y x)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 x z)))))
(if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -50000000 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* y z) y) (.f64 y z))) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 20000 binary64)) #s(approx ( (+ x y) (+ z 1)) (+.f64 y x)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* y z) y) (*.f64 y z)))))
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))

Outputs
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(if (<=.f64 (+.f64 x y) #s(literal -8254602048994769/4127301024497384737127654569660285988428494734657199391624693039270889863724412964643884811622321780427143710884821317803768340308614730759769835769241715444596770968742227220068214981847081570726751819595399909407406471037121576084674975771617472472574520163263578112 binary64)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 y z y)))
(if (<=.f64 (+.f64 x y) #s(literal -8254602048994769/4127301024497384737127654569660285988428494734657199391624693039270889863724412964643884811622321780427143710884821317803768340308614730759769835769241715444596770968742227220068214981847081570726751819595399909407406471037121576084674975771617472472574520163263578112 binary64)) #s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 y z y)))
(if (<=.f64 (+.f64 x y) #s(literal -8254602048994769/4127301024497384737127654569660285988428494734657199391624693039270889863724412964643884811622321780427143710884821317803768340308614730759769835769241715444596770968742227220068214981847081570726751819595399909407406471037121576084674975771617472472574520163263578112 binary64)) #s(approx (* (+ x y) (+ z 1)) (+.f64 x y)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 y z y)))
(if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -50000000 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* y z) y) (.f64 y z))) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 5 binary64)) #s(approx ( (+ x y) (+ z 1)) (+.f64 y x)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 x z)))))
(if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -50000000 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* y z) y) (.f64 y z))) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 5 binary64)) #s(approx ( (+ x y) (+ z 1)) (+.f64 x y)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 x z)))))
(if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -50000000 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* y z) y) (.f64 y z))) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 20000 binary64)) #s(approx ( (+ x y) (+ z 1)) (+.f64 y x)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* y z) y) (*.f64 y z)))))
(if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -50000000 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* y z) y) (.f64 y z))) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 20000 binary64)) #s(approx ( (+ x y) (+ z 1)) (+.f64 x y)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* y z) y) (*.f64 y z)))))
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
#s(approx (* (+ x y) (+ z 1)) (+.f64 x y))

soundness742.0ms (13.3%)

Memory

-0.3MiB live, 356.2MiB allocated

Rules

11 282×	`lower-fma.f64`
11 282×	`lower-fma.f32`
11 054×	`lower-fma.f64`
11 054×	`lower-fma.f32`
3 054×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	322
1	219	322
2	730	322
3	2461	322
4	4974	322
5	7661	322
0	8239	316
0	120	2024
1	443	1754
2	1345	1754
3	4027	1754
4	6750	1754
0	8288	1661

Stop Event

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

Compiler

Compiled 172 to 74 computations (57% saved)

preprocess39.0ms (0.7%)

Memory: 10.2MiB live, 128.2MiB allocated
Remove: (sort x y)
Compiler: Compiled 274 to 106 computations (61.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample819.0ms (14.6%)

explain72.0ms (1.3%)

preprocess175.0ms (3.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0.1%)

localize33.0ms (0.6%)

series9.0ms (0.2%)

simplify242.0ms (4.3%)

rewrite336.0ms (6%)

eval79.0ms (1.4%)

prune213.0ms (3.8%)

simplify10.0ms (0.2%)

localize75.0ms (1.3%)

series37.0ms (0.7%)

simplify326.0ms (5.8%)

rewrite335.0ms (6%)

eval281.0ms (5%)

prune272.0ms (4.9%)

simplify14.0ms (0.3%)

localize42.0ms (0.8%)

series9.0ms (0.2%)

simplify236.0ms (4.2%)

rewrite672.0ms (12%)

eval83.0ms (1.5%)

prune246.0ms (4.4%)

regimes32.0ms (0.6%)

regimes105.0ms (1.9%)

regimes13.0ms (0.2%)

regimes9.0ms (0.2%)

regimes3.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify15.0ms (0.3%)

soundness742.0ms (13.3%)

preprocess39.0ms (0.7%)

end0.0ms (0%)

Profiling