Metrics for Main:bigenough2 from A

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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 8 computations (11.1% saved)

sample694.0ms (17.7%)

Memory

-2.8MiB live, 943.1MiB allocated

Samples

425.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 217.0ms

ival-add: 121.0ms (55.9% of total)

ival-mult: 86.0ms (39.7% of total)

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

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

Bogosity

explain82.0ms (2.1%)

Memory

-4.3MiB live, 122.5MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 z x)`
-	-	`y`
-	-	`(*.f64 y (+.f64 z x))`
-	-	`(+.f64 x (*.f64 y (+.f64 z x)))`
-	-	`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

40.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

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

ival-add: 5.0ms (55.9% of total)

ival-mult: 3.0ms (33.6% of total)

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

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

preprocess58.0ms (1.5%)

Memory

20.8MiB live, 57.8MiB allocated

Algorithm

1×	egg-herbie

Rules

394×	`distribute-rgt-in`
354×	`unsub-neg`
318×	`sub-neg`
240×	`associate-r`
226×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	70
1	94	63
2	290	63
3	708	63
4	1654	63
5	2395	63
6	2500	63
7	2500	63
0	6	7
0	9	7
1	18	7
2	29	7
3	38	7
4	42	7
5	48	7
6	48	7
7	61	7
8	61	7
9	73	7
10	75	7
11	79	7
0	79	6

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 x (*.f64 y (+.f64 z x)))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify5.0ms (0.1%)

Memory

11.5MiB live, 11.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

92×	`lower-fma.f64`
92×	`lower-fma.f32`
60×	`lower-*.f32`
58×	`lower-*.f64`
32×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	18	18
2	29	18
3	38	18
4	42	18
5	48	18
6	48	18
7	61	18
8	61	18
9	73	18
10	75	18
11	79	18
0	79	17

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize18.0ms (0.5%)

Memory

1.8MiB live, 40.1MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 z x)
accuracy	0	(+.f64 x (*.f64 y (+.f64 z x)))
accuracy	0.015625	(*.f64 y (+.f64 z x))

Samples

14.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-add: 3.0ms (68.4% of total)

ival-mult: 2.0ms (45.6% of total)

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

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

series11.0ms (0.3%)

Memory

-29.0MiB live, 14.4MiB allocated

Counts

3 → 96

Calls

Call 1

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

Inputs

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

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

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

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

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	y	@	-inf	((+ x (* y (+ z x))) (* y (+ z x)) (+ z x))
1.0ms	y	@	inf	((+ x (* y (+ z x))) (* y (+ z x)) (+ z x))
1.0ms	z	@	inf	((+ x (* y (+ z x))) (* y (+ z x)) (+ z x))
0.0ms	z	@	-inf	((+ x (* y (+ z x))) (* y (+ z x)) (+ z x))
0.0ms	x	@	-inf	((+ x (* y (+ z x))) (* y (+ z x)) (+ z x))

simplify177.0ms (4.5%)

Memory

8.2MiB live, 123.9MiB allocated

Algorithm

1×	egg-herbie

Rules

6 302×	`lower-fma.f64`
6 302×	`lower-fma.f32`
2 346×	`lower-*.f64`
2 346×	`lower-*.f32`
2 030×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	452
1	249	452
2	731	452
3	2093	452
4	4312	452
5	5677	452
6	6804	452
7	7667	452
0	8057	422

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 89

Calls

Call 1

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

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

rewrite172.0ms (4.4%)

Memory

-9.7MiB live, 188.2MiB allocated

Rules

4 948×	`lower-fma.f64`
4 948×	`lower-fma.f32`
4 672×	`lower-*.f32`
4 670×	`lower-*.f64`
3 162×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	41	15
2	351	15
3	4269	15
0	8638	14

Stop Event

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

Counts

3 → 245

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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#<batchref>
#<batchref>
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eval58.0ms (1.5%)

Memory: 9.1MiB live, 81.2MiB allocated
Compiler: Compiled 6 491 to 817 computations (87.4% saved)

prune8.0ms (0.2%)

Memory

21.6MiB live, 21.6MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	329	5	334
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	330	5	335

Accuracy

100.0%

Counts

335 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(fma.f64 z y (fma.f64 y x x))
▶	77.1%	(+.f64 x #s(approx (* y (+ z x)) (*.f64 z y)))
▶	64.1%	#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
▶	61.5%	#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y))
▶	39.1%	#s(approx (+ x (* y (+ z x))) (*.f64 z y))

Compiler

Compiled 56 to 54 computations (3.6% saved)

simplify7.0ms (0.2%)

Memory

5.4MiB live, 5.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

96×	`lower-fma.f32`
92×	`lower-fma.f64`
60×	`lower-*.f32`
56×	`lower-*.f64`
36×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	98
0	23	98
1	38	98
2	48	98
3	55	98
4	55	98
5	68	98
6	68	98
7	80	98
8	82	98
9	86	98
0	86	94

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize44.0ms (1.1%)

Memory

-4.0MiB live, 33.8MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x #s(approx (* y (+ z x)) (*.f64 z y)))
accuracy	0	(*.f64 z y)
accuracy	32.17431849635973	#s(approx (* y (+ z x)) (*.f64 z y))
accuracy	0	(+.f64 z x)
accuracy	0.015625	(*.f64 (+.f64 z x) y)
accuracy	24.625189209159377	#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y))
accuracy	0	(fma.f64 y x x)
accuracy	22.971695397819445	#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
accuracy	0	(*.f64 z y)
accuracy	38.95756982373847	#s(approx (+ x (* y (+ z x))) (*.f64 z y))
accuracy	0	(fma.f64 y x x)
accuracy	0.7538979928166806	(fma.f64 z y (fma.f64 y x x))

Samples

23.0ms

256×

valid

Compiler

Compiled 81 to 13 computations (84% saved)

Precisions

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

ival-mult: 6.0ms (54.6% of total)

ival-add: 4.0ms (36.4% of total)

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

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

series14.0ms (0.4%)

Memory

16.2MiB live, 16.2MiB allocated

Counts

10 → 324

Calls

Call 1

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

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

Calls

9 calls:

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

simplify202.0ms (5.1%)

Memory

-18.8MiB live, 139.4MiB allocated

Algorithm

1×	egg-herbie

Rules

5 958×	`lower-fma.f64`
5 958×	`lower-fma.f32`
4 264×	`lower-*.f64`
4 264×	`lower-*.f32`
1 008×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	1700
1	300	1700
2	835	1700
3	2228	1700
4	4418	1700
5	5739	1700
6	6715	1700
7	7162	1700
8	7439	1700
9	7629	1700
0	8505	1529

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 312

Calls

Call 1

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

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

rewrite193.0ms (4.9%)

Memory

28.1MiB live, 284.3MiB allocated

Rules

5 660×	`lower-fma.f32`
5 656×	`lower-fma.f64`
5 262×	`lower-*.f32`
5 258×	`lower-*.f64`
4 144×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	78
0	23	78
1	93	78
2	745	78
0	8227	74

Stop Event

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

Counts

10 → 280

Calls

Call 1

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

Outputs
#<batchref>
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eval84.0ms (2.1%)

Memory: -15.1MiB live, 163.2MiB allocated
Compiler: Compiled 9 825 to 991 computations (89.9% saved)

prune20.0ms (0.5%)

Memory

20.9MiB live, 57.6MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	690	2	692
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	691	6	697

Accuracy

100.0%

Counts

697 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.3%	(fma.f64 z y #s(approx (+ (* y x) x) (*.f64 y x)))
✓	77.1%	(+.f64 x #s(approx (* y (+ z x)) (*.f64 z y)))
✓	64.1%	#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
✓	61.5%	#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y))
✓	39.1%	#s(approx (+ x (* y (+ z x))) (*.f64 z y))
▶	26.2%	#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))

Compiler

Compiled 33 to 34 computations (-3% saved)

simplify19.0ms (0.5%)

Memory

-44.3MiB live, 7.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

100×	`lower-fma.f32`
98×	`lower-fma.f64`
60×	`lower-*.f32`
58×	`lower-*.f64`
36×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	58
0	15	58
1	28	58
2	36	58
3	47	58
4	47	58
5	60	58
6	60	58
7	72	58
8	74	58
9	78	58
0	78	53

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize28.0ms (0.7%)

Memory

3.7MiB live, 40.5MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y x)
accuracy	0.7538979928166806	(fma.f64 z y #s(approx (+ (* y x) x) (*.f64 y x)))
accuracy	33.9033662337983	#s(approx (+ (* y x) x) (*.f64 y x))
accuracy	0	(*.f64 y x)
accuracy	22.971695397819445	#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))
accuracy	33.9033662337983	#s(approx (+ (* y x) x) (*.f64 y x))

Samples

18.0ms

256×

valid

Compiler

Compiled 39 to 12 computations (69.2% saved)

Precisions

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

ival-mult: 5.0ms (53.6% of total)

ival-add: 4.0ms (42.9% of total)

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

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

series7.0ms (0.2%)

Memory

23.1MiB live, 23.1MiB allocated

Counts

4 → 120

Calls

Call 1

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

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

Calls

9 calls:

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

simplify262.0ms (6.7%)

Memory

-21.7MiB live, 135.7MiB allocated

Algorithm

1×	egg-herbie

Rules

9 644×	`lower-fma.f64`
9 644×	`lower-fma.f32`
3 242×	`lower-*.f64`
3 242×	`lower-*.f32`
1 326×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	632
1	213	632
2	591	632
3	1466	632
4	3528	632
5	5473	632
0	8133	551

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 117

Calls

Call 1

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

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

rewrite184.0ms (4.7%)

Memory

16.6MiB live, 208.5MiB allocated

Rules

7 968×	`lower-fma.f32`
7 966×	`lower-fma.f64`
5 442×	`lower-*.f32`
5 440×	`lower-*.f64`
3 122×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	41
0	15	41
1	73	41
2	571	41
3	6989	41
0	8562	37

Stop Event

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

Counts

4 → 74

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval29.0ms (0.8%)

Memory: 15.9MiB live, 52.3MiB allocated
Compiler: Compiled 3 487 to 226 computations (93.5% saved)

prune16.0ms (0.4%)

Memory

-26.1MiB live, 25.2MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	241	0	241
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	241	6	247

Accuracy

100.0%

Counts

247 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	60.3%	(fma.f64 z y #s(approx (+ (* y x) x) (*.f64 y x)))
✓	77.1%	(+.f64 x #s(approx (* y (+ z x)) (*.f64 z y)))
✓	64.1%	#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
✓	61.5%	#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y))
✓	39.1%	#s(approx (+ x (* y (+ z x))) (*.f64 z y))
✓	26.2%	#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))

Compiler

Compiled 80 to 53 computations (33.8% saved)

regimes13.0ms (0.3%)

Memory

28.3MiB live, 28.3MiB allocated

Counts

8 → 1

Calls

Call 1

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

Outputs
(+.f64 x (*.f64 y (+.f64 z x)))

Calls

4 calls:

3.0ms	z
3.0ms	x
3.0ms	(+.f64 x (*.f64 y (+.f64 z x)))
3.0ms	y

Results

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

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes17.0ms (0.4%)

Memory

-16.0MiB live, 21.9MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

4 calls:

9.0ms	(+.f64 x (*.f64 y (+.f64 z x)))
2.0ms	y
2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
87.0%	3	`x`
99.1%	3	`y`
89.3%	3	`z`
85.8%	3	`(+.f64 x (*.f64 y (+.f64 z x)))`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes12.0ms (0.3%)

Memory

-15.2MiB live, 23.5MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
70.6%	3	`(+.f64 x (*.f64 y (+.f64 z x)))`
82.8%	3	`x`
80.3%	3	`z`
85.4%	3	`y`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes6.0ms (0.2%)

Memory

15.3MiB live, 15.3MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	y
2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
76.8%	3	`z`
78.6%	3	`x`
72.9%	5	`y`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes7.0ms (0.2%)

Memory

15.2MiB live, 15.2MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
46.1%	3	`y`
41.8%	2	`(+.f64 x (*.f64 y (+.f64 z x)))`
51.3%	3	`z`
49.0%	3	`x`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes10.0ms (0.2%)

Memory

-23.3MiB live, 14.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	y
1.0ms	z
1.0ms	x
1.0ms	(+.f64 x (*.f64 y (+.f64 z x)))

Results

Accuracy	Segments	Branch
26.2%	1	`(+.f64 x (*.f64 y (+.f64 z x)))`
26.2%	1	`y`
26.2%	1	`x`
26.2%	1	`z`

Compiler

Compiled 10 to 15 computations (-50% saved)

bsearch57.0ms (1.4%)

Memory

17.0MiB live, 70.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
42.0ms	0.005637458655620159	3.2867663204374495
12.0ms	-6.838565519232254e+30	-3.3322948949988894e+20

Samples

44.0ms

288×

valid

Compiler

Compiled 226 to 264 computations (-16.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-add: 3.0ms (59.7% of total)

ival-mult: 2.0ms (39.8% of total)

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

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

bsearch177.0ms (4.5%)

Memory

-18.8MiB live, 18.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	11133974.239838857	12933643715430967000.0
163.0ms	-1.6117402363593178e-114	-8.07965032098545e-117

Samples

165.0ms

272×

valid

Compiler

Compiled 197 to 233 computations (-18.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 159.0ms

ival-mult: 156.0ms (98.3% of total)

ival-add: 3.0ms (1.9% of total)

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

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

bsearch14.0ms (0.4%)

Memory

15.6MiB live, 15.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	5.4888061995200045e-154	7.177955419223845e-152
4.0ms	-3.832107951222511e-46	-3.185809024433563e-46

Samples

6.0ms

160×

valid

Compiler

Compiled 100 to 132 computations (-32% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-add: 2.0ms (71.3% of total)

ival-mult: 1.0ms (35.7% of total)

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

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

bsearch39.0ms (1%)

Memory

0.7MiB live, 37.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	1.192540866466241e+34	5.23384390476211e+34
29.0ms	-3.399854549202716e-10	-9.420517239334003e-17

Samples

10.0ms

240×

valid

Compiler

Compiled 145 to 207 computations (-42.8% saved)

Precisions

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

ival-add: 2.0ms (46.3% of total)

ival-mult: 2.0ms (46.3% of total)

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

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

simplify53.0ms (1.3%)

Memory

-26.4MiB live, 56.7MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`-commutative-binary64-.f64`
6×	`+-commutative-binary64-+.f64`
2×	`1-exp-binary32-exp.f32`
2×	`1-exp-binary64-exp.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	205
1	55	205

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 x (*.f64 y (+.f64 z x)))
(if (<=.f64 y #s(literal -340000000000000000000 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 (+.f64 z x) y)) (if (<=.f64 y #s(literal 1 binary64)) (+.f64 x #s(approx ( y (+ z x)) (.f64 z y))) #s(approx (+ x ( y (+ z x))) (*.f64 (+.f64 z x) y))))
(if (<=.f64 y #s(literal -554533938824163/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 (+.f64 z x) y)) (if (<=.f64 y #s(literal 12500000 binary64)) #s(approx (+ x ( y (+ z x))) (fma.f64 y x x)) #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y))))
(if (<=.f64 x #s(literal -8484632873687469/25711008708143844408671393477458601640355247900524685364822016 binary64)) #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) (if (<=.f64 x #s(literal 914006524761467/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 z y)) #s(approx (+ x ( y (+ z x))) (fma.f64 y x x))))
(if (<=.f64 z #s(literal -3143773488566009/20282409603651670423947251286016 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 z y)) (if (<=.f64 z #s(literal 11999999999999999346902771844513792 binary64)) #s(approx (+ x ( y (+ z x))) #s(approx (+ (* y x) x) (.f64 y x))) #s(approx (+ x ( y (+ z x))) (*.f64 z y))))
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))

Outputs
(+.f64 x (*.f64 y (+.f64 z x)))
(+.f64 (*.f64 (+.f64 z x) y) x)
(if (<=.f64 y #s(literal -340000000000000000000 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 (+.f64 z x) y)) (if (<=.f64 y #s(literal 1 binary64)) (+.f64 x #s(approx ( y (+ z x)) (.f64 z y))) #s(approx (+ x ( y (+ z x))) (*.f64 (+.f64 z x) y))))
(if (<=.f64 y #s(literal -340000000000000000000 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 (+.f64 z x) y)) (if (<=.f64 y #s(literal 1 binary64)) (+.f64 #s(approx ( y (+ z x)) (.f64 z y)) x) #s(approx (+ x ( y (+ z x))) (*.f64 (+.f64 z x) y))))
(if (<=.f64 y #s(literal -554533938824163/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 (+.f64 z x) y)) (if (<=.f64 y #s(literal 12500000 binary64)) #s(approx (+ x ( y (+ z x))) (fma.f64 y x x)) #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y))))
(if (<=.f64 x #s(literal -8484632873687469/25711008708143844408671393477458601640355247900524685364822016 binary64)) #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) (if (<=.f64 x #s(literal 914006524761467/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 z y)) #s(approx (+ x ( y (+ z x))) (fma.f64 y x x))))
(if (<=.f64 z #s(literal -3143773488566009/20282409603651670423947251286016 binary64)) #s(approx (+ x (* y (+ z x))) (.f64 z y)) (if (<=.f64 z #s(literal 11999999999999999346902771844513792 binary64)) #s(approx (+ x ( y (+ z x))) #s(approx (+ (* y x) x) (.f64 y x))) #s(approx (+ x ( y (+ z x))) (*.f64 z y))))
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))

soundness921.0ms (23.5%)

Memory

19.3MiB live, 286.6MiB allocated

Rules

6 302×	`lower-fma.f64`
6 302×	`lower-fma.f32`
5 958×	`lower-fma.f64`
5 958×	`lower-fma.f32`
4 264×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	452
1	249	452
2	731	452
3	2093	452
4	4312	452
5	5677	452
6	6804	452
7	7667	452
0	8057	422
0	84	1700
1	300	1700
2	835	1700
3	2228	1700
4	4418	1700
5	5739	1700
6	6715	1700
7	7162	1700
8	7439	1700
9	7629	1700
0	8505	1529

Stop Event

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

Compiler

Compiled 143 to 85 computations (40.6% saved)

preprocess204.0ms (5.2%)

Memory: 16.6MiB live, 103.7MiB allocated
Compiler: Compiled 226 to 92 computations (59.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	6	18
0	9	18
1	18	18
2	29	18
3	38	18
4	42	18
5	48	18
6	48	18
7	61	18
8	61	18
9	73	18
10	75	18
11	79	18
0	79	17

Iter	Nodes	Cost
0	16	98
0	23	98
1	38	98
2	48	98
3	55	98
4	55	98
5	68	98
6	68	98
7	80	98
8	82	98
9	86	98
0	86	94

Iter	Nodes	Cost
0	12	58
0	15	58
1	28	58
2	36	58
3	47	58
4	47	58
5	60	58
6	60	58
7	72	58
8	74	58
9	78	58
0	78	53

Iter	Nodes	Cost
0	6	18
0	9	18
1	18	18
2	29	18
3	38	18
4	42	18
5	48	18
6	48	18
7	61	18
8	61	18
9	73	18
10	75	18
11	79	18
0	79	17

Iter	Nodes	Cost
0	16	98
0	23	98
1	38	98
2	48	98
3	55	98
4	55	98
5	68	98
6	68	98
7	80	98
8	82	98
9	86	98
0	86	94

Iter	Nodes	Cost
0	12	58
0	15	58
1	28	58
2	36	58
3	47	58
4	47	58
5	60	58
6	60	58
7	72	58
8	74	58
9	78	58
0	78	53

start0.0ms (0%)

analyze0.0ms (0%)

sample694.0ms (17.7%)

explain82.0ms (2.1%)

preprocess58.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize18.0ms (0.5%)

series11.0ms (0.3%)

simplify177.0ms (4.5%)

rewrite172.0ms (4.4%)

eval58.0ms (1.5%)

prune8.0ms (0.2%)

simplify7.0ms (0.2%)

localize44.0ms (1.1%)

series14.0ms (0.4%)

simplify202.0ms (5.1%)

rewrite193.0ms (4.9%)

eval84.0ms (2.1%)

prune20.0ms (0.5%)

simplify19.0ms (0.5%)

localize28.0ms (0.7%)

series7.0ms (0.2%)

simplify262.0ms (6.7%)

rewrite184.0ms (4.7%)

eval29.0ms (0.8%)

prune16.0ms (0.4%)

regimes13.0ms (0.3%)

regimes17.0ms (0.4%)

regimes12.0ms (0.3%)

regimes6.0ms (0.2%)

regimes7.0ms (0.2%)

regimes10.0ms (0.2%)

bsearch57.0ms (1.4%)

bsearch177.0ms (4.5%)

bsearch14.0ms (0.4%)

bsearch39.0ms (1%)

simplify53.0ms (1.3%)

soundness921.0ms (23.5%)

preprocess204.0ms (5.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	18
0	9	18
1	18	18
2	29	18
3	38	18
4	42	18
5	48	18
6	48	18
7	61	18
8	61	18
9	73	18
10	75	18
11	79	18
0	79	17

Iter	Nodes	Cost
0	16	98
0	23	98
1	38	98
2	48	98
3	55	98
4	55	98
5	68	98
6	68	98
7	80	98
8	82	98
9	86	98
0	86	94

Iter	Nodes	Cost
0	12	58
0	15	58
1	28	58
2	36	58
3	47	58
4	47	58
5	60	58
6	60	58
7	72	58
8	74	58
9	78	58
0	78	53