Metrics for Numeric.SpecFunctions:choose from math-functions-0.1.5.2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze41.0ms (0.9%)

Memory

11.7MiB live, 82.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
50%	49.9%	49.9%	0.1%	0%	0%	0%	4
50%	49.9%	49.9%	0.1%	0%	0%	0%	5
50%	49.9%	49.9%	0.1%	0%	0%	0%	6
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
75%	74.9%	25%	0.1%	0%	0%	0%	9
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	10
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	11
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample899.0ms (19.3%)

Memory

-52.1MiB live, 659.6MiB allocated

Samples

494.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 272.0ms

ival-div: 112.0ms (41.1% of total)

ival-add: 100.0ms (36.7% of total)

ival-mult: 51.0ms (18.7% of total)

ival-true: 6.0ms (2.2% of total)

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

Bogosity

explain54.0ms (1.2%)

Memory

35.0MiB live, 35.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
51	-	1	(3.540056679747062e-73 1.2389827716826255e-244 -4.5996721734664986e-275)	`(/.f64 (*.f64 x (+.f64 y z)) z)`
0	-	0	-	`(+.f64 y z)`
0	-	0	-	`y`
0	-	0	-	`z`
0	-	0	-	`(*.f64 x (+.f64 y z))`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 x (+.f64 y z)) z)`	o/n	39	0
↳	`(*.f64 x (+.f64 y z))`	overflow	53
`/.f64`	`(/.f64 (*.f64 x (+.f64 y z)) z)`	u/n	11	0
↳	`(*.f64 x (+.f64 y z))`	underflow	11

Confusion

	Predicted +	Predicted -
+	50	1
-	0	205

Precision

1.0

Recall

0.9803921568627451

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	50	0	1
-	0	0	205

Precision?

1.0

Recall?

0.9803921568627451

Freqs

test

number	freq
0	206
1	50

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

23.0ms

512×

valid

Compiler

Compiled 50 to 22 computations (56% saved)

Precisions

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

ival-div: 3.0ms (29.5% of total)

ival-add: 3.0ms (29.5% of total)

ival-mult: 3.0ms (29.5% of total)

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

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

preprocess248.0ms (5.3%)

Memory

-8.4MiB live, 31.6MiB allocated

Algorithm

1×	egg-herbie

Rules

4 786×	`lower-*.f32`
4 784×	`lower-*.f64`
2 414×	`lower-fma.f64`
2 414×	`lower-fma.f32`
1 634×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	72
1	106	66
2	281	64
3	934	64
4	2669	63
5	5010	63
6	5760	63
7	5861	63
8	5957	63
9	6086	63
10	6221	63
0	6	7
0	9	7
1	19	7
2	24	7
3	25	7
4	33	7
5	35	7
6	39	7
7	46	7
8	51	7
9	160	7
10	553	7
11	2370	7
12	3773	7
13	3925	7
14	4010	7
15	4111	7
16	4246	7
17	4406	7
18	6021	7
19	7046	7
0	8041	6

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs x)

Compiler

Compiled 10 to 6 computations (40% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	81.3%	(/.f64 (*.f64 x (+.f64 y z)) z)

Compiler

Compiled 10 to 6 computations (40% saved)

simplify133.0ms (2.9%)

Memory

-7.5MiB live, 31.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

4 786×	`lower-*.f32`
4 784×	`lower-*.f64`
2 414×	`lower-fma.f64`
2 414×	`lower-fma.f32`
1 634×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	19	18
2	24	18
3	25	18
4	33	18
5	35	18
6	39	18
7	46	18
8	51	18
9	160	18
10	553	18
11	2370	18
12	3773	18
13	3925	18
14	4010	18
15	4111	18
16	4246	18
17	4406	18
18	6021	18
19	7046	18
0	8041	17

Stop Event

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

Calls

Call 1

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

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

localize17.0ms (0.4%)

Memory

7.4MiB live, 7.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y z)
accuracy	0.01171875	(*.f64 x (+.f64 y z))
accuracy	11.931460049444723	(/.f64 (*.f64 x (+.f64 y z)) z)

Samples

11.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-div: 2.0ms (40.9% of total)

ival-mult: 2.0ms (40.9% of total)

ival-add: 1.0ms (20.5% of total)

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

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

series8.0ms (0.2%)

Memory

3.4MiB live, 3.4MiB allocated

Counts

3 → 96

Calls

Call 1

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

Inputs

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

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

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

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

Calls

24 calls:

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

simplify219.0ms (4.7%)

Memory

-13.7MiB live, 25.4MiB allocated

Algorithm

1×	egg-herbie

Rules

2 456×	`lower-fma.f64`
2 456×	`lower-fma.f32`
2 212×	`lower-*.f64`
2 212×	`lower-*.f32`
2 096×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	456
1	171	456
2	482	456
3	1327	456
4	2607	456
5	3103	456
6	3446	456
7	3884	456
8	4074	456
9	4117	456
10	5984	456
11	6760	456
12	6984	456
13	7382	456
14	7394	456
15	7403	456
0	8073	426

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 87

Calls

Call 1

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

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

rewrite219.0ms (4.7%)

Memory

16.7MiB live, 57.2MiB allocated

Rules

4 302×	`lower-fma.f64`
4 302×	`lower-fma.f32`
4 234×	`lower-/.f32`
4 232×	`lower-/.f64`
3 826×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	40	15
2	256	15
3	2320	15
0	8156	15

Stop Event

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

Counts

3 → 379

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 (/.f64 z x) (.f64 (+.f64 z y) (-.f64 z y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))
(.f64 (pow.f64 (/.f64 (/.f64 z x) (.f64 (neg.f64 (+.f64 z y)) (-.f64 y z))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 y z))))
(.f64 (pow.f64 (/.f64 (/.f64 z x) (neg.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 z y) z (*.f64 y y)))))
(*.f64 (pow.f64 (/.f64 (/.f64 z x) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 z y))
(.f64 (pow.f64 (/.f64 z (.f64 (*.f64 (-.f64 y z) (+.f64 z y)) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 y z)))
(.f64 (pow.f64 (/.f64 z (.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 z y) z (.f64 y y))))
(.f64 (pow.f64 (/.f64 z (.f64 (.f64 (+.f64 z y) x) (.f64 x (-.f64 y z)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y z))))
(.f64 (pow.f64 (/.f64 z (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 z z) z)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y x) y) x (.f64 (.f64 z x) (-.f64 (.f64 z x) (.f64 y x))))))
(.f64 (pow.f64 (/.f64 (/.f64 z x) (.f64 (-.f64 y z) (+.f64 z y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 y z)))
(.f64 (pow.f64 (/.f64 (/.f64 z x) (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 z y) z (*.f64 y y))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 z y)) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 z) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 z) (+.f64 z y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (+.f64 z y) z))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 (+.f64 z y) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (+.f64 z y))) (/.f64 #s(literal -1 binary64) z))
(.f64 (pow.f64 (/.f64 z (.f64 (+.f64 z y) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z (*.f64 (+.f64 z y) x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (+.f64 z y) z))
(*.f64 (/.f64 (+.f64 z y) #s(literal 1 binary64)) (/.f64 x z))
(*.f64 (/.f64 (+.f64 z y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) z))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (+.f64 z y)) z))
(.f64 (.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 z y) z))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 z y) x))) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 x z) (+.f64 z y))
(.f64 (neg.f64 x) (.f64 (+.f64 z y) (/.f64 #s(literal -1 binary64) z)))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 (+.f64 z y)) z))
(.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 (+.f64 z y) x)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) z) (.f64 (neg.f64 x) (+.f64 z y)))
(*.f64 (neg.f64 (+.f64 z y)) (/.f64 (neg.f64 x) z))
(.f64 (neg.f64 (+.f64 z y)) (.f64 x (/.f64 #s(literal -1 binary64) z)))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) (/.f64 (+.f64 z y) z)))
(*.f64 (/.f64 (+.f64 z y) z) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 z y) z) x)
(.f64 (.f64 (-.f64 y z) (+.f64 z y)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)) (/.f64 x z)))
(.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 z y) x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 z y) x))))
(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 (+.f64 z y) x))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 z y) x) z))
(.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 z y) z (.f64 y y))) (/.f64 x z)))
(.f64 (.f64 (neg.f64 x) (+.f64 z y)) (/.f64 #s(literal -1 binary64) z))
(.f64 (/.f64 (.f64 (+.f64 z y) x) z) #s(literal 1 binary64))
(.f64 (.f64 (+.f64 z y) x) (/.f64 #s(literal 1 binary64) z))
(.f64 (+.f64 z y) (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z)))
(*.f64 (+.f64 z y) (/.f64 x z))
(*.f64 x (/.f64 (+.f64 z y) z))
(pow.f64 (exp.f64 (log.f64 (/.f64 z (*.f64 (+.f64 z y) x)))) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 z (.f64 (+.f64 z y) x)) (/.f64 z (*.f64 (+.f64 z y) x))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 z (*.f64 (+.f64 z y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 z (*.f64 (+.f64 z y) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (+.f64 z y) x) z) #s(literal 1 binary64))
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(-.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (-.f64 y z) (fma.f64 (.f64 z z) (fma.f64 z z (.f64 y y)) (.f64 (.f64 y y) (.f64 y y))))) (/.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)) (.f64 (-.f64 y z) (fma.f64 (.f64 z z) (fma.f64 z z (.f64 y y)) (.f64 (.f64 y y) (.f64 y y))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (fma.f64 (-.f64 z y) z (.f64 y y)) (.f64 (fma.f64 z (+.f64 z y) (.f64 y y)) (-.f64 y z)))) (/.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)) (.f64 (fma.f64 (-.f64 z y) z (.f64 y y)) (.f64 (fma.f64 z (+.f64 z y) (.f64 y y)) (-.f64 y z)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (-.f64 z y) z (*.f64 y y)))) (neg.f64 (+.f64 z y)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 y y) (.f64 y y)) (fma.f64 z z (.f64 y y))) (-.f64 y z)) (/.f64 (/.f64 (.f64 (.f64 z z) (.f64 z z)) (fma.f64 z z (.f64 y y))) (-.f64 y z)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (fma.f64 (.f64 z z) (fma.f64 z z (.f64 y y)) (.f64 (.f64 y y) (.f64 y y)))) (-.f64 y z)) (/.f64 (/.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)) (fma.f64 (.f64 z z) (fma.f64 z z (.f64 y y)) (.f64 (.f64 y y) (.f64 y y)))) (-.f64 y z)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (fma.f64 z (+.f64 z y) (.f64 y y)) (-.f64 y z))) (fma.f64 (-.f64 z y) z (.f64 y y))) (/.f64 (/.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)) (.f64 (fma.f64 z (+.f64 z y) (.f64 y y)) (-.f64 y z))) (fma.f64 (-.f64 z y) z (.f64 y y))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 y z))) (neg.f64 (+.f64 z y)))
(-.f64 (/.f64 (.f64 z z) (-.f64 z y)) (/.f64 (.f64 y y) (-.f64 z y)))
(-.f64 (.f64 y (/.f64 y (-.f64 y z))) (.f64 z (/.f64 z (-.f64 y z))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 z y))) #s(literal -1 binary64)))
(+.f64 (.f64 y (/.f64 y (-.f64 y z))) (neg.f64 (.f64 z (/.f64 z (-.f64 y z)))))
(+.f64 z y)
(+.f64 y z)

eval89.0ms (1.9%)

Memory: 1.4MiB live, 77.0MiB allocated
Compiler: Compiled 10 565 to 1 290 computations (87.8% saved)

prune177.0ms (3.8%)

Memory

1.9MiB live, 162.3MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	460	6	466
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	461	6	467

Accuracy

100.0%

Counts

467 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	42.1%	(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
▶	42.7%	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
▶	96.8%	(/.f64 x (/.f64 z (+.f64 z y)))
▶	82.7%	(*.f64 (/.f64 x z) (+.f64 z y))
	81.2%	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 (+.f64 z y) x))
▶	96.6%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))

Compiler

Compiled 120 to 70 computations (41.7% saved)

simplify122.0ms (2.6%)

Memory

-25.3MiB live, 166.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 z y)
cost-diff	0	(/.f64 x z)
cost-diff	128	(*.f64 (/.f64 x z) (+.f64 z y))
cost-diff	0	(/.f64 y z)
cost-diff	0	(fma.f64 (/.f64 y z) x x)
cost-diff	0	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
cost-diff	0	(*.f64 z x)
cost-diff	0	#s(approx (* x (+ y z)) (*.f64 z x))
cost-diff	0	(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (* x (+ y z)) (*.f64 y x))
cost-diff	0	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
cost-diff	0	(+.f64 z y)
cost-diff	0	(/.f64 z (+.f64 z y))
cost-diff	512	(/.f64 x (/.f64 z (+.f64 z y)))

Rules

9 632×	`lower-fma.f32`
9 630×	`lower-fma.f64`
3 928×	`lower-*.f32`
3 922×	`lower-*.f64`
1 910×	`associate-/r/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	111
0	32	112
1	55	112
2	68	112
3	76	108
4	77	108
5	194	108
6	648	108
7	2791	108
8	3863	108
9	4750	108
10	4831	108
11	4916	108
12	5021	108
13	5143	108
14	6833	108
0	8147	108

Stop Event

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

Calls

Call 1

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

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

localize73.0ms (1.6%)

Memory

18.4MiB live, 106.3MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 x z)
accuracy	0	(+.f64 z y)
accuracy	11.047612691271848	(*.f64 (/.f64 x z) (+.f64 z y))
accuracy	0	(/.f64 y z)
accuracy	0	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
accuracy	2.186089074563139	(fma.f64 (/.f64 y z) x x)
accuracy	0	(*.f64 z x)
accuracy	11.931460049444723	(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
accuracy	25.77629263970352	#s(approx (* x (+ y z)) (*.f64 z x))
accuracy	0	(*.f64 y x)
accuracy	11.931460049444723	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
accuracy	32.265983596381865	#s(approx (* x (+ y z)) (*.f64 y x))
accuracy	0	(+.f64 z y)
accuracy	0.00390625	(/.f64 z (+.f64 z y))
accuracy	2.078396134370408	(/.f64 x (/.f64 z (+.f64 z y)))

Samples

37.0ms

256×

valid

Compiler

Compiled 91 to 18 computations (80.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-div: 13.0ms (54.9% of total)

ival-mult: 7.0ms (29.5% of total)

ival-add: 3.0ms (12.7% of total)

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

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

series22.0ms (0.5%)

Memory

6.4MiB live, 45.0MiB allocated

Counts

14 → 432

Calls

Call 1

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

Outputs
#s(alt (/ (* x (+ y z)) z) (taylor 0 x) (#s(alt (/.f64 x (/.f64 z (+.f64 z y))) (patch (/.f64 x (/.f64 z (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor 0 x) (#s(alt (/.f64 x (/.f64 z (+.f64 z y))) (patch (/.f64 x (/.f64 z (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor 0 x) (#s(alt (/.f64 x (/.f64 z (+.f64 z y))) (patch (/.f64 x (/.f64 z (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor 0 x) (#s(alt (/.f64 x (/.f64 z (+.f64 z y))) (patch (/.f64 x (/.f64 z (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor inf x) (#s(alt (/.f64 x (/.f64 z (+.f64 z y))) (patch (/.f64 x (/.f64 z (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor inf x) (#s(alt (/.f64 x (/.f64 z (+.f64 z y))) (patch (/.f64 x (/.f64 z (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor inf x) (#s(alt (/.f64 x (/.f64 z (+.f64 z y))) (patch (/.f64 x (/.f64 z (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor inf x) (#s(alt (/.f64 x (/.f64 z (+.f64 z y))) (patch (/.f64 x (/.f64 z (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (/.f64 x (/.f64 z (+.f64 z y))) (patch (/.f64 x (/.f64 z (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (/.f64 x (/.f64 z (+.f64 z y))) (patch (/.f64 x (/.f64 z (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (/.f64 x (/.f64 z (+.f64 z y))) (patch (/.f64 x (/.f64 z (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (/.f64 x (/.f64 z (+.f64 z y))) (patch (/.f64 x (/.f64 z (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 x (/.f64 z (+.f64 z y))) (patch (/.f64 x (/.f64 z (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (/.f64 x (/.f64 z (+.f64 z y))) (patch (/.f64 x (/.f64 z (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (/.f64 x (/.f64 z (+.f64 z y))) (patch (/.f64 x (/.f64 z (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (/.f64 x (/.f64 z (+.f64 z y))) (patch (/.f64 x (/.f64 z (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf z) (#s(alt (/.f64 x (/.f64 z (+.f64 z y))) (patch (/.f64 x (/.f64 z (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* x y) z)) (taylor inf z) (#s(alt (/.f64 x (/.f64 z (+.f64 z y))) (patch (/.f64 x (/.f64 z (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* x y) z)) (taylor inf z) (#s(alt (/.f64 x (/.f64 z (+.f64 z y))) (patch (/.f64 x (/.f64 z (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* x y) z)) (taylor inf z) (#s(alt (/.f64 x (/.f64 z (+.f64 z y))) (patch (/.f64 x (/.f64 z (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf z) (#s(alt (/.f64 x (/.f64 z (+.f64 z y))) (patch (/.f64 x (/.f64 z (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* x y) z)) (taylor -inf z) (#s(alt (/.f64 x (/.f64 z (+.f64 z y))) (patch (/.f64 x (/.f64 z (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* x y) z)) (taylor -inf z) (#s(alt (/.f64 x (/.f64 z (+.f64 z y))) (patch (/.f64 x (/.f64 z (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* x y) z)) (taylor -inf z) (#s(alt (/.f64 x (/.f64 z (+.f64 z y))) (patch (/.f64 x (/.f64 z (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (/.f64 x (/.f64 z (+.f64 z y))) (patch (/.f64 x (/.f64 z (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* x y) z)) (taylor 0 y) (#s(alt (/.f64 x (/.f64 z (+.f64 z y))) (patch (/.f64 x (/.f64 z (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* x y) z)) (taylor 0 y) (#s(alt (/.f64 x (/.f64 z (+.f64 z y))) (patch (/.f64 x (/.f64 z (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* x y) z)) (taylor 0 y) (#s(alt (/.f64 x (/.f64 z (+.f64 z y))) (patch (/.f64 x (/.f64 z (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf y) (#s(alt (/.f64 x (/.f64 z (+.f64 z y))) (patch (/.f64 x (/.f64 z (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (/ x y) (/ x z))) (taylor inf y) (#s(alt (/.f64 x (/.f64 z (+.f64 z y))) (patch (/.f64 x (/.f64 z (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (/ x y) (/ x z))) (taylor inf y) (#s(alt (/.f64 x (/.f64 z (+.f64 z y))) (patch (/.f64 x (/.f64 z (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (/ x y) (/ x z))) (taylor inf y) (#s(alt (/.f64 x (/.f64 z (+.f64 z y))) (patch (/.f64 x (/.f64 z (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf y) (#s(alt (/.f64 x (/.f64 z (+.f64 z y))) (patch (/.f64 x (/.f64 z (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) (taylor -inf y) (#s(alt (/.f64 x (/.f64 z (+.f64 z y))) (patch (/.f64 x (/.f64 z (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) (taylor -inf y) (#s(alt (/.f64 x (/.f64 z (+.f64 z y))) (patch (/.f64 x (/.f64 z (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) (taylor -inf y) (#s(alt (/.f64 x (/.f64 z (+.f64 z y))) (patch (/.f64 x (/.f64 z (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor 0 z) (#s(alt (/.f64 z (+.f64 z y)) (patch (/.f64 z (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ z (pow y 2))) (/ 1 y))) (taylor 0 z) (#s(alt (/.f64 z (+.f64 z y)) (patch (/.f64 z (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* z (- (/ z (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) (taylor 0 z) (#s(alt (/.f64 z (+.f64 z y)) (patch (/.f64 z (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* z (- (* z (+ (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) (taylor 0 z) (#s(alt (/.f64 z (+.f64 z y)) (patch (/.f64 z (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf z) (#s(alt (/.f64 z (+.f64 z y)) (patch (/.f64 z (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y z))) (taylor inf z) (#s(alt (/.f64 z (+.f64 z y)) (patch (/.f64 z (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ (pow y 2) (pow z 2))) (/ y z)) (taylor inf z) (#s(alt (/.f64 z (+.f64 z y)) (patch (/.f64 z (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 (/ (pow y 3) (pow z 3)))) (+ (* -1 (/ (pow y 2) (pow z 2))) (/ y z))) (taylor inf z) (#s(alt (/.f64 z (+.f64 z y)) (patch (/.f64 z (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf z) (#s(alt (/.f64 z (+.f64 z y)) (patch (/.f64 z (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y z))) (taylor -inf z) (#s(alt (/.f64 z (+.f64 z y)) (patch (/.f64 z (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) (* -1 y)) z))) (taylor -inf z) (#s(alt (/.f64 z (+.f64 z y)) (patch (/.f64 z (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) z)) (* -1 (pow y 2))) z)) (* -1 y)) z))) (taylor -inf z) (#s(alt (/.f64 z (+.f64 z y)) (patch (/.f64 z (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 z (+.f64 z y)) (patch (/.f64 z (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y z))) (taylor 0 y) (#s(alt (/.f64 z (+.f64 z y)) (patch (/.f64 z (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (/ y (pow z 2)) (/ 1 z)))) (taylor 0 y) (#s(alt (/.f64 z (+.f64 z y)) (patch (/.f64 z (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (* y (+ (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z)))) (taylor 0 y) (#s(alt (/.f64 z (+.f64 z y)) (patch (/.f64 z (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor inf y) (#s(alt (/.f64 z (+.f64 z y)) (patch (/.f64 z (+.f64 z y)) #<representation binary64>) () ())) ())
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#s(alt (+ x (/ (* x y) z)) (taylor 0 y) (#s(alt (.f64 (/.f64 x z) (+.f64 z y)) (patch (.f64 (/.f64 x z) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* x y) z)) (taylor 0 y) (#s(alt (.f64 (/.f64 x z) (+.f64 z y)) (patch (.f64 (/.f64 x z) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* x y) z)) (taylor 0 y) (#s(alt (.f64 (/.f64 x z) (+.f64 z y)) (patch (.f64 (/.f64 x z) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf y) (#s(alt (.f64 (/.f64 x z) (+.f64 z y)) (patch (.f64 (/.f64 x z) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (/ x y) (/ x z))) (taylor inf y) (#s(alt (.f64 (/.f64 x z) (+.f64 z y)) (patch (.f64 (/.f64 x z) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (/ x y) (/ x z))) (taylor inf y) (#s(alt (.f64 (/.f64 x z) (+.f64 z y)) (patch (.f64 (/.f64 x z) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (/ x y) (/ x z))) (taylor inf y) (#s(alt (.f64 (/.f64 x z) (+.f64 z y)) (patch (.f64 (/.f64 x z) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf y) (#s(alt (.f64 (/.f64 x z) (+.f64 z y)) (patch (.f64 (/.f64 x z) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) (taylor -inf y) (#s(alt (.f64 (/.f64 x z) (+.f64 z y)) (patch (.f64 (/.f64 x z) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) (taylor -inf y) (#s(alt (.f64 (/.f64 x z) (+.f64 z y)) (patch (.f64 (/.f64 x z) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) (taylor -inf y) (#s(alt (.f64 (/.f64 x z) (+.f64 z y)) (patch (.f64 (/.f64 x z) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())

Calls

108 calls:

Time	Variable		Point	Expression
2.0ms	z	@	inf	(* z x)
1.0ms	y	@	-inf	(/ z (+ z y))
0.0ms	x	@	inf	(+ (* (/ y z) x) x)
0.0ms	y	@	-inf	(/ y z)
0.0ms	x	@	inf	(* z x)

simplify152.0ms (3.3%)

Memory

-15.3MiB live, 258.2MiB allocated

Algorithm

1×	egg-herbie

Rules

10 914×	`lower-fma.f64`
10 914×	`lower-fma.f32`
3 490×	`lower-*.f64`
3 490×	`lower-*.f32`
1 706×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	158	2361
1	497	2340
2	1317	2310
3	4811	2308
0	8312	2115

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 408

Calls

Call 1

Inputs
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x y) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(/ z y)
(* z (+ (* -1 (/ z (pow y 2))) (/ 1 y)))
(* z (+ (* z (- (/ z (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* z (+ (* z (- (* z (+ (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
1
(+ 1 (* -1 (/ y z)))
(- (+ 1 (/ (pow y 2) (pow z 2))) (/ y z))
(- (+ 1 (* -1 (/ (pow y 3) (pow z 3)))) (+ (* -1 (/ (pow y 2) (pow z 2))) (/ y z)))
1
(+ 1 (* -1 (/ y z)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) (* -1 y)) z)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) z)) (* -1 (pow y 2))) z)) (* -1 y)) z)))
1
(+ 1 (* -1 (/ y z)))
(+ 1 (* y (- (/ y (pow z 2)) (/ 1 z))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z))))
(/ z y)
(/ (+ z (* -1 (/ (pow z 2) y))) y)
(/ (- (+ z (/ (pow z 3) (pow y 2))) (/ (pow z 2) y)) y)
(/ (- (+ z (* -1 (/ (pow z 4) (pow y 3)))) (+ (* -1 (/ (pow z 3) (pow y 2))) (/ (pow z 2) y))) y)
(/ z y)
(* -1 (/ (+ (* -1 z) (/ (pow z 2) y)) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (pow z 3) y) (pow z 2)) y))) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) y) (pow z 3)) y)) (pow z 2)) y))) y))
y
(+ y z)
(+ y z)
(+ y z)
z
(* z (+ 1 (/ y z)))
(* z (+ 1 (/ y z)))
(* z (+ 1 (/ y z)))
z
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
z
(+ y z)
(+ y z)
(+ y z)
y
(* y (+ 1 (/ z y)))
(* y (+ 1 (/ z y)))
(* y (+ 1 (/ z y)))
y
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(/ (* x y) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x z)
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(* x y)
(* y (+ x (/ (* x z) y)))
(* y (+ x (/ (* x z) y)))
(* y (+ x (/ (* x z) y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* x y)
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(* x z)
(* z (+ x (/ (* x y) z)))
(* z (+ x (/ (* x y) z)))
(* z (+ x (/ (* x y) z)))
(* x z)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(/ (* x y) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x z)
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(* x y)
(* y (+ x (/ (* x z) y)))
(* y (+ x (/ (* x z) y)))
(* y (+ x (/ (* x z) y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* x y)
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(* x z)
(* z (+ x (/ (* x y) z)))
(* z (+ x (/ (* x y) z)))
(* z (+ x (/ (* x y) z)))
(* x z)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(/ (* x y) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(/ (* x y) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* -1 (* x (- (* -1 (/ y z)) 1)))
(* -1 (* x (- (* -1 (/ y z)) 1)))
(* -1 (* x (- (* -1 (/ y z)) 1)))
(* -1 (* x (- (* -1 (/ y z)) 1)))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x y) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)

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

rewrite186.0ms (4%)

Memory

-0.2MiB live, 399.1MiB allocated

Rules

5 228×	`lower-*.f32`
5 222×	`lower-*.f64`
5 062×	`lower-fma.f32`
5 060×	`lower-fma.f64`
4 514×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	94
0	32	95
1	127	95
2	877	91
0	8490	91

Stop Event

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

Counts

14 → 1 659

Calls

Call 1

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

Outputs
(.f64 (/.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 z z)) (.f64 x x)) (fma.f64 (/.f64 (.f64 (.f64 y y) y) (.f64 (.f64 z z) z)) (.f64 (.f64 x x) x) (.f64 (.f64 (neg.f64 x) x) x))) (+.f64 (/.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 z z)) (*.f64 x (fma.f64 (/.f64 y z) x x))))
(.f64 (/.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 y y) y) (.f64 (.f64 z z) z)) #s(literal 1 binary64)) (.f64 (.f64 x x) x)) (.f64 (fma.f64 x (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 z z))) (-.f64 (/.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 z z)) (.f64 x (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))))) (-.f64 (/.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 z z)) (.f64 x (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))))
(.f64 (/.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 y y) y) (.f64 (.f64 z z) z)) #s(literal 1 binary64)) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 y y) y) (.f64 (.f64 z z) z)) (.f64 x x)) x) (/.f64 (.f64 (.f64 y y) y) (.f64 (.f64 z z) z))) (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (.f64 x (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))) (.f64 x (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 z z)) (/.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 z z)) (.f64 (.f64 x (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (-.f64 (.f64 x (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (/.f64 (.f64 (.f64 (.f64 y x) y) x) (*.f64 z z))))))
(.f64 (/.f64 (.f64 (fma.f64 (/.f64 y z) x x) (-.f64 z y)) (.f64 (fma.f64 z z (.f64 y (+.f64 y z))) (-.f64 z y))) (fma.f64 z z (*.f64 y (+.f64 y z))))
(.f64 (/.f64 (.f64 (fma.f64 (/.f64 y z) x x) (-.f64 z y)) (*.f64 (+.f64 y z) (-.f64 z y))) (+.f64 y z))
(.f64 (/.f64 (.f64 (fma.f64 (/.f64 y z) x x) (-.f64 y z)) (.f64 (fma.f64 y y (.f64 z (+.f64 y z))) (-.f64 y z))) (fma.f64 y y (*.f64 z (+.f64 y z))))
(.f64 (/.f64 (.f64 (fma.f64 (/.f64 y z) x x) (-.f64 y z)) (*.f64 (+.f64 y z) (-.f64 y z))) (+.f64 y z))
(.f64 (/.f64 (.f64 (fma.f64 y (-.f64 y z) (.f64 z z)) (fma.f64 (/.f64 y z) x x)) (.f64 (fma.f64 y (-.f64 y z) (.f64 z z)) (-.f64 (.f64 z z) (.f64 y (-.f64 y z))))) (-.f64 (.f64 z z) (*.f64 y (-.f64 y z))))
(.f64 (/.f64 (.f64 (fma.f64 y (-.f64 y z) (.f64 z z)) (fma.f64 (/.f64 y z) x x)) (fma.f64 (.f64 (.f64 (.f64 z z) z) (.f64 z z)) z (.f64 (.f64 (.f64 y (-.f64 y z)) (.f64 y (-.f64 y z))) (.f64 y (-.f64 y z))))) (fma.f64 (.f64 (.f64 z z) z) z (.f64 (.f64 y (-.f64 y z)) (-.f64 (.f64 y (-.f64 y z)) (.f64 z z)))))
(.f64 (/.f64 (.f64 (fma.f64 y (-.f64 y z) (.f64 z z)) (fma.f64 (/.f64 y z) x x)) (.f64 (fma.f64 z (-.f64 z y) (.f64 y y)) (-.f64 (.f64 y y) (.f64 z (-.f64 z y))))) (-.f64 (.f64 y y) (*.f64 z (-.f64 z y))))
(.f64 (/.f64 (.f64 (fma.f64 y (-.f64 y z) (.f64 z z)) (fma.f64 (/.f64 y z) x x)) (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 y y)) y (.f64 (.f64 (.f64 z (-.f64 z y)) (.f64 z (-.f64 z y))) (.f64 z (-.f64 z y))))) (fma.f64 (.f64 (.f64 y y) y) y (.f64 (.f64 z (-.f64 z y)) (-.f64 (.f64 z (-.f64 z y)) (.f64 y y)))))
(.f64 (/.f64 (.f64 (.f64 (+.f64 y z) x) (-.f64 z y)) (.f64 (.f64 z (+.f64 y z)) (.f64 z (-.f64 z y)))) (*.f64 z (+.f64 y z)))
(.f64 (/.f64 (.f64 (.f64 (+.f64 y z) x) (-.f64 z y)) (.f64 (.f64 (.f64 z z) z) (.f64 (fma.f64 z z (.f64 y (+.f64 y z))) (-.f64 z y)))) (fma.f64 (.f64 z z) (fma.f64 z z (.f64 y y)) (.f64 (.f64 (*.f64 z z) y) z)))
(*.f64 (/.f64 (/.f64 x z) #s(literal -1 binary64)) (-.f64 (neg.f64 z) y))
(.f64 (/.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 z z)) (.f64 x x)) (-.f64 (/.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 z z)) (*.f64 x x))) (fma.f64 (/.f64 y z) x x))
(.f64 (.f64 (/.f64 (neg.f64 x) z) #s(literal -1 binary64)) (+.f64 y z))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 (-.f64 (neg.f64 z) y) x)) (/.f64 #s(literal -1 binary64) z))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (-.f64 (neg.f64 z) y) z))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) z)) (-.f64 (neg.f64 z) y))
(.f64 (pow.f64 (/.f64 z (.f64 (+.f64 y z) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z (*.f64 (+.f64 y z) x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 x z) #s(literal 1 binary64)) (+.f64 y z))
(.f64 (/.f64 x (/.f64 z (.f64 (+.f64 y z) (-.f64 z y)))) (/.f64 #s(literal 1 binary64) (-.f64 z y)))
(.f64 (/.f64 x (/.f64 z (.f64 (+.f64 y z) (-.f64 y z)))) (/.f64 #s(literal 1 binary64) (-.f64 y z)))
(.f64 (/.f64 x (/.f64 z (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (*.f64 z z))))
(.f64 (/.f64 x (/.f64 z (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z y) (*.f64 y y))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y z) (-.f64 z y)))) (/.f64 x (-.f64 z y)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y z) (-.f64 y z)))) (/.f64 x (-.f64 y z)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)))) (/.f64 x (fma.f64 y (-.f64 y z) (*.f64 z z))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)))) (/.f64 x (fma.f64 z (-.f64 z y) (*.f64 y y))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (.f64 (+.f64 y z) x))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y z) (-.f64 z y)))) (/.f64 (/.f64 x z) (-.f64 z y)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y z) (-.f64 y z)))) (/.f64 (/.f64 x z) (-.f64 y z)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)))) (/.f64 (/.f64 x z) (fma.f64 y (-.f64 y z) (*.f64 z z))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)))) (/.f64 (/.f64 x z) (fma.f64 z (-.f64 z y) (*.f64 y y))))
(.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y z) (-.f64 z y)))) (/.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 z y)))
(.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y z) (-.f64 y z)))) (/.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 y z)))
(.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)))) (/.f64 (/.f64 #s(literal -1 binary64) z) (fma.f64 y (-.f64 y z) (*.f64 z z))))
(.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)))) (/.f64 (/.f64 #s(literal -1 binary64) z) (fma.f64 z (-.f64 z y) (*.f64 y y))))
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (-.f64 (neg.f64 z) y) z))
(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y z) (-.f64 z y)))) (/.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 z y)))
(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y z) (-.f64 y z)))) (/.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 y z)))
(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)))) (/.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 y (-.f64 y z) (*.f64 z z))))
(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)))) (/.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 z (-.f64 z y) (*.f64 y y))))
(.f64 (/.f64 (.f64 (+.f64 y z) (-.f64 z y)) z) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) (/.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (.f64 (+.f64 y z) (-.f64 y z)) z) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)) (/.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)) z) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (*.f64 z z))) (/.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)) z) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z y) (*.f64 y y))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (+.f64 y z) #s(literal -1 binary64)) (/.f64 (neg.f64 x) z))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 (neg.f64 z) y) z))
(.f64 (.f64 (fma.f64 (/.f64 y z) x x) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))
(.f64 (.f64 (fma.f64 (/.f64 y z) x x) (-.f64 y z)) (/.f64 #s(literal 1 binary64) (-.f64 y z)))
(.f64 (.f64 (fma.f64 y (-.f64 y z) (.f64 z z)) (fma.f64 (/.f64 y z) x x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (.f64 z z))))
(.f64 (.f64 (fma.f64 y (-.f64 y z) (.f64 z z)) (fma.f64 (/.f64 y z) x x)) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z y) (.f64 y y))))
(*.f64 (/.f64 (neg.f64 x) z) (-.f64 (neg.f64 z) y))
(.f64 (-.f64 (.f64 x x) (/.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) (/.f64 x z) x)) (-.f64 (/.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 z z)) (.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 z z)))) (.f64 (+.f64 (/.f64 (.f64 (.f64 y y) y) (.f64 (.f64 z z) z)) #s(literal 1 binary64)) (.f64 (*.f64 x x) x)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x (/.f64 #s(literal -1 binary64) (+.f64 y z))))
(.f64 (/.f64 #s(literal -1 binary64) z) (.f64 (-.f64 (neg.f64 z) y) x))
(*.f64 (/.f64 (-.f64 (neg.f64 z) y) z) (neg.f64 x))
(.f64 (.f64 (fma.f64 (/.f64 y z) x x) (fma.f64 (neg.f64 y) (/.f64 x z) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 x z) x)))
(.f64 (neg.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 y y) y) (.f64 (.f64 z z) z)) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 (.f64 (.f64 (.f64 y x) y) x) (*.f64 z z))))))
(.f64 (.f64 (.f64 (-.f64 (neg.f64 z) y) x) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 z) (-.f64 z y))))
(.f64 (.f64 (.f64 (-.f64 (neg.f64 z) y) x) (-.f64 y z)) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 z) (-.f64 y z))))
(.f64 (.f64 (neg.f64 x) (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y))) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 z) (fma.f64 y (-.f64 y z) (*.f64 z z)))))
(.f64 (.f64 (neg.f64 x) (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y))) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 z) (fma.f64 z (-.f64 z y) (*.f64 y y)))))
(.f64 (.f64 (.f64 (+.f64 y z) x) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (.f64 z (-.f64 z y))))
(.f64 (.f64 (.f64 (+.f64 y z) x) (-.f64 y z)) (/.f64 #s(literal 1 binary64) (.f64 z (-.f64 y z))))
(.f64 (.f64 x (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y))) (/.f64 #s(literal 1 binary64) (.f64 z (fma.f64 y (-.f64 y z) (*.f64 z z)))))
(.f64 (.f64 x (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y))) (/.f64 #s(literal 1 binary64) (.f64 z (fma.f64 z (-.f64 z y) (*.f64 y y)))))
(.f64 (.f64 (.f64 (+.f64 y z) (-.f64 z y)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 z y) (neg.f64 z))))
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(fma.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 z z)) (-.f64 (/.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 z z)) (.f64 x x))) (fma.f64 (/.f64 y z) x x) (neg.f64 (/.f64 (.f64 x x) (fma.f64 (/.f64 x z) y (neg.f64 x)))))
(fma.f64 (/.f64 z (neg.f64 z)) (neg.f64 x) (.f64 (.f64 (/.f64 x z) y) #s(literal 1 binary64)))
(fma.f64 (/.f64 z (neg.f64 z)) (neg.f64 x) (*.f64 (/.f64 x z) y))
(fma.f64 (.f64 (.f64 z x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z) (.f64 (.f64 (/.f64 x z) y) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 z x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 x z) y))
(fma.f64 (.f64 (.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 (neg.f64 x) z) (neg.f64 z)))
(fma.f64 (.f64 (.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z) x)
(fma.f64 (.f64 z (/.f64 #s(literal 1 binary64) z)) x (.f64 (*.f64 (/.f64 x z) y) #s(literal 1 binary64)))
(fma.f64 (.f64 z (/.f64 #s(literal 1 binary64) z)) x (.f64 (/.f64 x z) y))
(fma.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x z) (*.f64 (/.f64 (neg.f64 x) z) (neg.f64 z)))
(fma.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x z) x)
(fma.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 x z) (*.f64 (/.f64 (neg.f64 x) z) (neg.f64 z)))
(fma.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 x z) x)
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 x) z) (*.f64 (/.f64 (neg.f64 x) z) (neg.f64 z)))
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 x) z) x)
(fma.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 x) z) (.f64 (.f64 (/.f64 x z) y) #s(literal 1 binary64)))
(fma.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 x) z) (*.f64 (/.f64 x z) y))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 y) z) (*.f64 (/.f64 (neg.f64 x) z) (neg.f64 z)))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 y) z) x)
(fma.f64 (.f64 (neg.f64 z) x) (/.f64 #s(literal -1 binary64) z) (.f64 (*.f64 (/.f64 x z) y) #s(literal 1 binary64)))
(fma.f64 (.f64 (neg.f64 z) x) (/.f64 #s(literal -1 binary64) z) (.f64 (/.f64 x z) y))
(fma.f64 (/.f64 (neg.f64 x) z) (neg.f64 y) (*.f64 (/.f64 (neg.f64 x) z) (neg.f64 z)))
(fma.f64 (/.f64 (neg.f64 x) z) (neg.f64 y) x)
(fma.f64 (/.f64 (neg.f64 x) z) (neg.f64 z) (*.f64 (/.f64 x z) y))
(fma.f64 (/.f64 (neg.f64 y) z) (neg.f64 x) (*.f64 (/.f64 (neg.f64 x) z) (neg.f64 z)))
(fma.f64 (/.f64 (neg.f64 y) z) (neg.f64 x) x)
(fma.f64 (.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) z) (.f64 (/.f64 (neg.f64 x) z) (neg.f64 z)))
(fma.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) z) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (.f64 (.f64 (/.f64 x z) y) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (/.f64 x z) y))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (/.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 (neg.f64 x) z) (neg.f64 z)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (neg.f64 x) z) (neg.f64 z)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (/.f64 #s(literal 1 binary64) x)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 z (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (/.f64 x z) y) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 z (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 x z) y))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z x) (.f64 (*.f64 (/.f64 x z) y) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z x) (.f64 (/.f64 x z) y))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y x) (.f64 (/.f64 (neg.f64 x) z) (neg.f64 z)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x) x)
(fma.f64 #s(literal 1 binary64) (.f64 (/.f64 x z) y) (.f64 (/.f64 (neg.f64 x) z) (neg.f64 z)))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 x z) y) x)
(fma.f64 #s(literal 1 binary64) x (.f64 (.f64 (/.f64 x z) y) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (*.f64 (/.f64 x z) y))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 z z)) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) (/.f64 x z) x)) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 x z) y (neg.f64 x)))))
(fma.f64 (neg.f64 y) (.f64 (/.f64 #s(literal -1 binary64) z) x) (.f64 (/.f64 (neg.f64 x) z) (neg.f64 z)))
(fma.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) z) x) x)
(fma.f64 (neg.f64 y) (/.f64 (neg.f64 x) z) (*.f64 (neg.f64 z) (/.f64 (neg.f64 x) z)))
(fma.f64 (neg.f64 z) (/.f64 (neg.f64 x) z) (*.f64 (neg.f64 y) (/.f64 (neg.f64 x) z)))
(fma.f64 (neg.f64 x) (.f64 (/.f64 #s(literal -1 binary64) z) z) (.f64 (*.f64 (/.f64 x z) y) #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) (.f64 (/.f64 #s(literal -1 binary64) z) z) (.f64 (/.f64 x z) y))
(fma.f64 (neg.f64 x) (.f64 (/.f64 #s(literal -1 binary64) z) y) (.f64 (/.f64 (neg.f64 x) z) (neg.f64 z)))
(fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) z) y) x)
(fma.f64 (*.f64 (/.f64 x z) y) #s(literal 1 binary64) x)
(fma.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 (neg.f64 x) z) (neg.f64 z)))
(fma.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 (/.f64 x z) y (*.f64 (/.f64 (neg.f64 x) z) (neg.f64 z)))
(fma.f64 (/.f64 x z) y x)
(fma.f64 (/.f64 x z) z (.f64 (.f64 (/.f64 x z) y) #s(literal 1 binary64)))
(fma.f64 (/.f64 x z) z (*.f64 (/.f64 x z) y))
(fma.f64 (/.f64 y z) x (*.f64 (/.f64 (neg.f64 x) z) (neg.f64 z)))
(fma.f64 (/.f64 y z) x x)
(fma.f64 (.f64 z x) (/.f64 #s(literal 1 binary64) z) (.f64 (*.f64 (/.f64 x z) y) #s(literal 1 binary64)))
(fma.f64 (.f64 z x) (/.f64 #s(literal 1 binary64) z) (.f64 (/.f64 x z) y))
(fma.f64 (.f64 y x) (/.f64 #s(literal 1 binary64) z) (.f64 (/.f64 (neg.f64 x) z) (neg.f64 z)))
(fma.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) z) x)
(fma.f64 y (/.f64 x z) (*.f64 (/.f64 (neg.f64 x) z) (neg.f64 z)))
(fma.f64 y (/.f64 x z) x)
(fma.f64 z (/.f64 x z) (.f64 (.f64 (/.f64 x z) y) #s(literal 1 binary64)))
(fma.f64 z (/.f64 x z) (*.f64 (/.f64 x z) y))
(fma.f64 x (.f64 z (/.f64 #s(literal 1 binary64) z)) (.f64 (*.f64 (/.f64 x z) y) #s(literal 1 binary64)))
(fma.f64 x (.f64 z (/.f64 #s(literal 1 binary64) z)) (.f64 (/.f64 x z) y))
(fma.f64 x #s(literal 1 binary64) (.f64 (.f64 (/.f64 x z) y) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 (/.f64 x z) y))
(fma.f64 x (/.f64 y z) (*.f64 (/.f64 (neg.f64 x) z) (neg.f64 z)))
(fma.f64 x (/.f64 y z) x)
(-.f64 (/.f64 (.f64 x x) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (/.f64 (/.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 z z)) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) (+.f64 y z))) (neg.f64 (fma.f64 (/.f64 y z) x x)))
(-.f64 (/.f64 (/.f64 (.f64 z z) (-.f64 z y)) (/.f64 z x)) (/.f64 (/.f64 (.f64 y y) (-.f64 z y)) (/.f64 z x)))
(-.f64 (/.f64 (/.f64 (.f64 y y) (-.f64 y z)) (/.f64 z x)) (/.f64 (/.f64 (.f64 z z) (-.f64 y z)) (/.f64 z x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (neg.f64 (fma.f64 (/.f64 y z) x x)))
(-.f64 (/.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 (fma.f64 (/.f64 x z) y (neg.f64 x)) (.f64 z z))) (/.f64 (.f64 x x) (fma.f64 (/.f64 x z) y (neg.f64 x))))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (/.f64 y z) x x)))
(exp.f64 (.f64 (log.f64 (/.f64 z (.f64 (+.f64 y z) x))) #s(literal -1 binary64)))
(+.f64 (.f64 (neg.f64 y) (/.f64 (neg.f64 x) z)) (.f64 (neg.f64 z) (/.f64 (neg.f64 x) z)))
(+.f64 (.f64 (neg.f64 z) (/.f64 (neg.f64 x) z)) (.f64 (neg.f64 y) (/.f64 (neg.f64 x) z)))
(+.f64 (.f64 (.f64 (/.f64 x z) y) #s(literal 1 binary64)) x)
(+.f64 (.f64 (/.f64 (neg.f64 x) z) (neg.f64 z)) (.f64 (/.f64 x z) y))
(+.f64 (/.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 (fma.f64 (/.f64 x z) y (neg.f64 x)) (.f64 z z))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 (/.f64 x z) y (neg.f64 x)))))
(+.f64 (.f64 (/.f64 x z) y) (.f64 (/.f64 (neg.f64 x) z) (neg.f64 z)))
(+.f64 (*.f64 (/.f64 x z) y) x)
(+.f64 x (.f64 (.f64 (/.f64 x z) y) #s(literal 1 binary64)))
(+.f64 x (*.f64 (/.f64 x z) y))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) z) x)
(*.f64 #s(literal 1 binary64) (/.f64 x z))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 x z) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) z))
(pow.f64 (/.f64 z x) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 z))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 z))
(/.f64 (*.f64 x #s(literal -1 binary64)) (neg.f64 z))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) x))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 z x))
(/.f64 (neg.f64 x) (neg.f64 z))
(/.f64 x z)
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 z x)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) z)))
(neg.f64 (/.f64 (neg.f64 x) z))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (neg.f64 x) z))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) z))
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal -1 binary64)))

eval254.0ms (5.5%)

Memory: 28.1MiB live, 727.6MiB allocated
Compiler: Compiled 43 122 to 2 133 computations (95.1% saved)

prune238.0ms (5.1%)

Memory

1.1MiB live, 817.1MiB allocated

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	2 208	4	2 212
Fresh	1	0	1
Picked	3	2	5
Done	0	0	0
Total	2 212	6	2 218

Accuracy

100.0%

Counts

2 218 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.3%	(fma.f64 (/.f64 x z) y x)
✓	42.7%	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
▶	42.7%	(/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y)))
▶	57.1%	(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))
▶	42.7%	(.f64 (/.f64 #s(literal 1 binary64) z) #s(approx ( x (+ y z)) (*.f64 y x)))
✓	96.6%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))

Compiler

Compiled 55 to 32 computations (41.8% saved)

simplify11.0ms (0.2%)

Memory

-25.2MiB live, 14.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 x z)
cost-diff	0	(fma.f64 (/.f64 x z) y x)
cost-diff	0	(/.f64 z y)
cost-diff	0	#s(approx (/ z (+ z y)) (/.f64 z y))
cost-diff	0	(/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y)))
cost-diff	0	#s(approx (/ z (+ z y)) #s(literal 1 binary64))
cost-diff	0	(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (* x (+ y z)) (*.f64 y x))
cost-diff	0	(/.f64 #s(literal 1 binary64) z)
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) z) #s(approx ( x (+ y z)) (*.f64 y x)))

Rules

156×	`lower-*.f32`
152×	`lower-*.f64`
72×	`lower-/.f32`
62×	`lower-/.f64`
52×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	88
0	28	88
1	45	86
2	53	86
3	61	86
4	63	86
5	65	86
6	71	86
7	71	86
8	109	86
9	122	86
10	182	86
11	202	86
12	211	86
13	223	86
14	223	86
0	223	86

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize49.0ms (1.1%)

Memory

18.9MiB live, 135.8MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 x z)
accuracy	3.6703260514850613	(fma.f64 (/.f64 x z) y x)
accuracy	0	(/.f64 z y)
accuracy	2.078396134370408	(/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y)))
accuracy	35.20297168476824	#s(approx (/ z (+ z y)) (/.f64 z y))
accuracy	2.078396134370408	(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))
accuracy	27.45892679412791	#s(approx (/ z (+ z y)) #s(literal 1 binary64))
accuracy	0	(/.f64 #s(literal 1 binary64) z)
accuracy	0	(*.f64 y x)
accuracy	12.040835049444723	(.f64 (/.f64 #s(literal 1 binary64) z) #s(approx ( x (+ y z)) (*.f64 y x)))
accuracy	32.265983596381865	#s(approx (* x (+ y z)) (*.f64 y x))

Samples

33.0ms

256×

valid

Compiler

Compiled 71 to 18 computations (74.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-div: 10.0ms (52.5% of total)

ival-mult: 6.0ms (31.5% of total)

ival-add: 3.0ms (15.7% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.2%)

Memory

-15.5MiB live, 22.7MiB allocated

Counts

11 → 312

Calls

Call 1

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

Outputs
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) #s(approx ( x (+ y z)) (.f64 y x))) (patch (.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* x (+ y z)) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) #s(approx ( x (+ y z)) (.f64 y x))) (patch (.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* x (+ y z)) (*.f64 y x))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) (taylor -inf y) (#s(alt (/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y))) (patch (/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor 0 z) (#s(alt #s(approx (/ z (+ z y)) (/.f64 z y)) (patch #s(approx (/ z (+ z y)) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ z (pow y 2))) (/ 1 y))) (taylor 0 z) (#s(alt #s(approx (/ z (+ z y)) (/.f64 z y)) (patch #s(approx (/ z (+ z y)) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* z (- (/ z (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) (taylor 0 z) (#s(alt #s(approx (/ z (+ z y)) (/.f64 z y)) (patch #s(approx (/ z (+ z y)) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* z (- (* z (+ (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) (taylor 0 z) (#s(alt #s(approx (/ z (+ z y)) (/.f64 z y)) (patch #s(approx (/ z (+ z y)) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf z) (#s(alt #s(approx (/ z (+ z y)) (/.f64 z y)) (patch #s(approx (/ z (+ z y)) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y z))) (taylor inf z) (#s(alt #s(approx (/ z (+ z y)) (/.f64 z y)) (patch #s(approx (/ z (+ z y)) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ (pow y 2) (pow z 2))) (/ y z)) (taylor inf z) (#s(alt #s(approx (/ z (+ z y)) (/.f64 z y)) (patch #s(approx (/ z (+ z y)) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 (/ (pow y 3) (pow z 3)))) (+ (* -1 (/ (pow y 2) (pow z 2))) (/ y z))) (taylor inf z) (#s(alt #s(approx (/ z (+ z y)) (/.f64 z y)) (patch #s(approx (/ z (+ z y)) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf z) (#s(alt #s(approx (/ z (+ z y)) (/.f64 z y)) (patch #s(approx (/ z (+ z y)) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y z))) (taylor -inf z) (#s(alt #s(approx (/ z (+ z y)) (/.f64 z y)) (patch #s(approx (/ z (+ z y)) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) (* -1 y)) z))) (taylor -inf z) (#s(alt #s(approx (/ z (+ z y)) (/.f64 z y)) (patch #s(approx (/ z (+ z y)) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) z)) (* -1 (pow y 2))) z)) (* -1 y)) z))) (taylor -inf z) (#s(alt #s(approx (/ z (+ z y)) (/.f64 z y)) (patch #s(approx (/ z (+ z y)) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (/ z (+ z y)) (/.f64 z y)) (patch #s(approx (/ z (+ z y)) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y z))) (taylor 0 y) (#s(alt #s(approx (/ z (+ z y)) (/.f64 z y)) (patch #s(approx (/ z (+ z y)) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (/ y (pow z 2)) (/ 1 z)))) (taylor 0 y) (#s(alt #s(approx (/ z (+ z y)) (/.f64 z y)) (patch #s(approx (/ z (+ z y)) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (* y (+ (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z)))) (taylor 0 y) (#s(alt #s(approx (/ z (+ z y)) (/.f64 z y)) (patch #s(approx (/ z (+ z y)) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor inf y) (#s(alt #s(approx (/ z (+ z y)) (/.f64 z y)) (patch #s(approx (/ z (+ z y)) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ z (* -1 (/ (pow z 2) y))) y) (taylor inf y) (#s(alt #s(approx (/ z (+ z y)) (/.f64 z y)) (patch #s(approx (/ z (+ z y)) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ z (/ (pow z 3) (pow y 2))) (/ (pow z 2) y)) y) (taylor inf y) (#s(alt #s(approx (/ z (+ z y)) (/.f64 z y)) (patch #s(approx (/ z (+ z y)) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ z (* -1 (/ (pow z 4) (pow y 3)))) (+ (* -1 (/ (pow z 3) (pow y 2))) (/ (pow z 2) y))) y) (taylor inf y) (#s(alt #s(approx (/ z (+ z y)) (/.f64 z y)) (patch #s(approx (/ z (+ z y)) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor -inf y) (#s(alt #s(approx (/ z (+ z y)) (/.f64 z y)) (patch #s(approx (/ z (+ z y)) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 z) (/ (pow z 2) y)) y)) (taylor -inf y) (#s(alt #s(approx (/ z (+ z y)) (/.f64 z y)) (patch #s(approx (/ z (+ z y)) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (pow z 3) y) (pow z 2)) y))) y)) (taylor -inf y) (#s(alt #s(approx (/ z (+ z y)) (/.f64 z y)) (patch #s(approx (/ z (+ z y)) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) y) (pow z 3)) y)) (pow z 2)) y))) y)) (taylor -inf y) (#s(alt #s(approx (/ z (+ z y)) (/.f64 z y)) (patch #s(approx (/ z (+ z y)) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor 0 z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor 0 z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor 0 z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor 0 z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor inf z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor inf z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor inf z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor inf z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor -inf z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor -inf z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor -inf z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor -inf z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor 0 y) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor 0 y) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor 0 y) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor 0 y) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor inf y) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor inf y) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor inf y) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor inf y) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor -inf y) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor -inf y) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor -inf y) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor -inf y) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y z))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y z))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y z))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y z))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y z))) (taylor inf x) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y z))) (taylor inf x) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y z))) (taylor inf x) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y z))) (taylor inf x) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y z)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y z)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y z)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y z)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt x (taylor inf z) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* x y) z)) (taylor inf z) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* x y) z)) (taylor inf z) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* x y) z)) (taylor inf z) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf z) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* x y) z)) (taylor -inf z) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* x y) z)) (taylor -inf z) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* x y) z)) (taylor -inf z) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* x y) z)) (taylor 0 y) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* x y) z)) (taylor 0 y) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* x y) z)) (taylor 0 y) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf y) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ (/ x y) (/ x z))) (taylor inf y) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ (/ x y) (/ x z))) (taylor inf y) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ (/ x y) (/ x z))) (taylor inf y) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf y) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) (taylor -inf y) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) (taylor -inf y) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) (taylor -inf y) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())

Calls

78 calls:

Time	Variable		Point	Expression
0.0ms	z	@	-inf	(/ z y)
0.0ms	z	@	0	(/ z y)
0.0ms	z	@	inf	(/ z y)
0.0ms	y	@	-inf	(/ z y)
0.0ms	z	@	-inf	(/ 1 z)

simplify161.0ms (3.5%)

Memory

12.0MiB live, 292.3MiB allocated

Algorithm

1×	egg-herbie

Rules

12 552×	`lower-fma.f64`
12 552×	`lower-fma.f32`
4 154×	`lower-*.f64`
4 154×	`lower-*.f32`
2 766×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	149	1950
1	462	1908
2	1240	1848
3	4319	1844
0	8507	1698

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 300

Calls

Call 1

Inputs
(/ (* x y) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x z)
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(* x y)
(* y (+ x (/ (* x z) y)))
(* y (+ x (/ (* x z) y)))
(* y (+ x (/ (* x z) y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
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Outputs
(/ (* x y) z)
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(fma.f64 (/.f64 y z) x x)
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(fma.f64 (/.f64 y z) x x)
(/ (* x (+ y z)) z)
(fma.f64 (/.f64 y z) x x)
(/ (* x (+ y z)) z)
(fma.f64 (/.f64 y z) x x)
(/ (* x (+ y z)) z)
(fma.f64 (/.f64 y z) x x)
(/ (* x (+ y z)) z)
(fma.f64 (/.f64 y z) x x)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (+ (* x y) (* x z)) z)
(fma.f64 (/.f64 y z) x x)
(/ (+ (* x y) (* x z)) z)
(fma.f64 (/.f64 y z) x x)
(/ (+ (* x y) (* x z)) z)
(fma.f64 (/.f64 y z) x x)
x
(+ x (/ (* x y) z))
(fma.f64 (/.f64 y z) x x)
(+ x (/ (* x y) z))
(fma.f64 (/.f64 y z) x x)
(+ x (/ (* x y) z))
(fma.f64 (/.f64 y z) x x)
x
(+ x (/ (* x y) z))
(fma.f64 (/.f64 y z) x x)
(+ x (/ (* x y) z))
(fma.f64 (/.f64 y z) x x)
(+ x (/ (* x y) z))
(fma.f64 (/.f64 y z) x x)
x
(+ x (/ (* x y) z))
(fma.f64 (/.f64 y z) x x)
(+ x (/ (* x y) z))
(fma.f64 (/.f64 y z) x x)
(+ x (/ (* x y) z))
(fma.f64 (/.f64 y z) x x)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(* y (+ (/ x y) (/ x z)))
(fma.f64 (/.f64 y z) x x)
(* y (+ (/ x y) (/ x z)))
(fma.f64 (/.f64 y z) x x)
(* y (+ (/ x y) (/ x z)))
(fma.f64 (/.f64 y z) x x)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(fma.f64 (/.f64 y z) x x)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(fma.f64 (/.f64 y z) x x)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(fma.f64 (/.f64 y z) x x)
(/ z y)
(/.f64 z y)
(* z (+ (* -1 (/ z (pow y 2))) (/ 1 y)))
(/.f64 (-.f64 z (*.f64 (/.f64 z y) z)) y)
(* z (+ (* z (- (/ z (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (+.f64 #s(literal -1 binary64) (/.f64 z y))) (*.f64 z z) (/.f64 z y))
(* z (+ (* z (- (* z (+ (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(.f64 (fma.f64 (fma.f64 (neg.f64 z) (/.f64 z (pow.f64 y #s(literal 4 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal -1 binary64) (/.f64 z y)))) z (/.f64 #s(literal 1 binary64) y)) z)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y z)))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(- (+ 1 (/ (pow y 2) (pow z 2))) (/ y z))
(fma.f64 (/.f64 y z) (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))
(- (+ 1 (* -1 (/ (pow y 3) (pow z 3)))) (+ (* -1 (/ (pow y 2) (pow z 2))) (/ y z)))
(neg.f64 (fma.f64 (/.f64 y z) (fma.f64 (/.f64 y z) (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64)) #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y z)))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) (* -1 y)) z)))
(fma.f64 (/.f64 y z) (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) z)) (* -1 (pow y 2))) z)) (* -1 y)) z)))
(neg.f64 (fma.f64 (/.f64 y z) (fma.f64 (/.f64 y z) (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64)) #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y z)))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(+ 1 (* y (- (/ y (pow z 2)) (/ 1 z))))
(fma.f64 (/.f64 y z) (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z))))
(neg.f64 (fma.f64 (/.f64 y z) (fma.f64 (/.f64 y z) (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/ z y)
(/.f64 z y)
(/ (+ z (* -1 (/ (pow z 2) y))) y)
(/.f64 (-.f64 z (*.f64 (/.f64 z y) z)) y)
(/ (- (+ z (/ (pow z 3) (pow y 2))) (/ (pow z 2) y)) y)
(/.f64 (fma.f64 (/.f64 z y) (fma.f64 (/.f64 z y) z (neg.f64 z)) z) y)
(/ (- (+ z (* -1 (/ (pow z 4) (pow y 3)))) (+ (* -1 (/ (pow z 3) (pow y 2))) (/ (pow z 2) y))) y)
(/.f64 (-.f64 z (/.f64 (fma.f64 z z (/.f64 (fma.f64 (*.f64 (neg.f64 z) z) z (/.f64 (pow.f64 z #s(literal 4 binary64)) y)) y)) y)) y)
(/ z y)
(/.f64 z y)
(* -1 (/ (+ (* -1 z) (/ (pow z 2) y)) y))
(/.f64 (-.f64 z (*.f64 (/.f64 z y) z)) y)
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (pow z 3) y) (pow z 2)) y))) y))
(/.f64 (fma.f64 (/.f64 z y) (fma.f64 (/.f64 z y) z (neg.f64 z)) z) y)
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) y) (pow z 3)) y)) (pow z 2)) y))) y))
(/.f64 (-.f64 z (/.f64 (fma.f64 z z (/.f64 (fma.f64 (*.f64 (neg.f64 z) z) z (/.f64 (pow.f64 z #s(literal 4 binary64)) y)) y)) y)) y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(* x (+ 1 (/ y z)))
(fma.f64 (/.f64 y z) x x)
(* x (+ 1 (/ y z)))
(fma.f64 (/.f64 y z) x x)
(* x (+ 1 (/ y z)))
(fma.f64 (/.f64 y z) x x)
(* x (+ 1 (/ y z)))
(fma.f64 (/.f64 y z) x x)
(* x (+ 1 (/ y z)))
(fma.f64 (/.f64 y z) x x)
(* x (+ 1 (/ y z)))
(fma.f64 (/.f64 y z) x x)
(* x (+ 1 (/ y z)))
(fma.f64 (/.f64 y z) x x)
(* x (+ 1 (/ y z)))
(fma.f64 (/.f64 y z) x x)
(* -1 (* x (- (* -1 (/ y z)) 1)))
(fma.f64 (/.f64 y z) x x)
(* -1 (* x (- (* -1 (/ y z)) 1)))
(fma.f64 (/.f64 y z) x x)
(* -1 (* x (- (* -1 (/ y z)) 1)))
(fma.f64 (/.f64 y z) x x)
(* -1 (* x (- (* -1 (/ y z)) 1)))
(fma.f64 (/.f64 y z) x x)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (+ (* x y) (* x z)) z)
(fma.f64 (/.f64 y z) x x)
(/ (+ (* x y) (* x z)) z)
(fma.f64 (/.f64 y z) x x)
(/ (+ (* x y) (* x z)) z)
(fma.f64 (/.f64 y z) x x)
x
(+ x (/ (* x y) z))
(fma.f64 (/.f64 y z) x x)
(+ x (/ (* x y) z))
(fma.f64 (/.f64 y z) x x)
(+ x (/ (* x y) z))
(fma.f64 (/.f64 y z) x x)
x
(+ x (/ (* x y) z))
(fma.f64 (/.f64 y z) x x)
(+ x (/ (* x y) z))
(fma.f64 (/.f64 y z) x x)
(+ x (/ (* x y) z))
(fma.f64 (/.f64 y z) x x)
x
(+ x (/ (* x y) z))
(fma.f64 (/.f64 y z) x x)
(+ x (/ (* x y) z))
(fma.f64 (/.f64 y z) x x)
(+ x (/ (* x y) z))
(fma.f64 (/.f64 y z) x x)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(* y (+ (/ x y) (/ x z)))
(fma.f64 (/.f64 y z) x x)
(* y (+ (/ x y) (/ x z)))
(fma.f64 (/.f64 y z) x x)
(* y (+ (/ x y) (/ x z)))
(fma.f64 (/.f64 y z) x x)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(fma.f64 (/.f64 y z) x x)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(fma.f64 (/.f64 y z) x x)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(fma.f64 (/.f64 y z) x x)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)

rewrite145.0ms (3.1%)

Memory

-5.6MiB live, 224.0MiB allocated

Rules

4 496×	`lower-fma.f32`
4 494×	`lower-fma.f64`
4 176×	`lower-*.f32`
4 172×	`lower-*.f64`
3 296×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	76
0	28	76
1	115	74
2	696	74
3	7456	74
0	8467	74

Stop Event

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

Counts

11 → 267

Calls

Call 1

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

Outputs
(.f64 (.f64 #s(approx (* x (+ y z)) (*.f64 y x)) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(approx ( x (+ y z)) (*.f64 y x)) (neg.f64 z)) #s(literal -1 binary64))
(.f64 (/.f64 #s(approx ( x (+ y z)) (*.f64 y x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))
(.f64 (/.f64 #s(approx ( x (+ y z)) (*.f64 y x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z))
(.f64 (pow.f64 z #s(literal -1/2 binary64)) (.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(approx (* x (+ y z)) (*.f64 y x))))
(.f64 (neg.f64 #s(approx ( x (+ y z)) (*.f64 y x))) (/.f64 #s(literal -1 binary64) z))
(.f64 #s(literal -1 binary64) (/.f64 #s(approx ( x (+ y z)) (*.f64 y x)) (neg.f64 z)))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (* x (+ y z)) (*.f64 y x))))
(.f64 (/.f64 #s(approx ( x (+ y z)) (*.f64 y x)) z) #s(literal 1 binary64))
(.f64 #s(approx ( x (+ y z)) (*.f64 y x)) (/.f64 #s(literal 1 binary64) z))
(.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(approx ( x (+ y z)) (*.f64 y x)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) z) #s(approx ( x (+ y z)) (*.f64 y x)))
(.f64 #s(literal 1 binary64) (/.f64 #s(approx ( x (+ y z)) (*.f64 y x)) z))
(pow.f64 (/.f64 z #s(approx (* x (+ y z)) (*.f64 y x))) #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 #s(approx (* x (+ y z)) (*.f64 y x))) #s(literal -1 binary64)) z)
(/.f64 (neg.f64 (neg.f64 #s(approx (* x (+ y z)) (*.f64 y x)))) z)
(/.f64 (neg.f64 #s(approx (* x (+ y z)) (*.f64 y x))) (neg.f64 z))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z #s(approx (* x (+ y z)) (*.f64 y x)))))
(/.f64 (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) #s(literal 1 binary64))
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 y x))))
(neg.f64 (/.f64 (neg.f64 #s(approx (* x (+ y z)) (*.f64 y x))) z))
(neg.f64 (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) (neg.f64 z)))
(neg.f64 (.f64 #s(approx ( x (+ y z)) (*.f64 y x)) (/.f64 #s(literal -1 binary64) z)))
(neg.f64 (.f64 (/.f64 #s(literal -1 binary64) z) #s(approx ( x (+ y z)) (*.f64 y x))))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)))
(.f64 (pow.f64 z #s(literal -1/2 binary64)) (.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(pow.f64 (exp.f64 (log.f64 z)) #s(literal -1 binary64))
(pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 z z) #s(literal -1/2 binary64))
(pow.f64 z #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 z))
(/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) z)
(neg.f64 (/.f64 #s(literal -1 binary64) z))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z))
(exp.f64 (*.f64 (log.f64 z) #s(literal -1 binary64)))
(.f64 #s(approx ( x (+ y z)) (*.f64 y x)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) #s(approx ( x (+ y z)) (*.f64 y x)))
#s(approx (* x (+ y z)) (*.f64 y x))
(*.f64 y x)
(*.f64 x y)
(*.f64 (pow.f64 (/.f64 #s(approx (/ z (+ z y)) #s(literal 1 binary64)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(approx (/ z (+ z y)) #s(literal 1 binary64)) x) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) #s(approx (/ z (+ z y)) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ z (+ z y)) #s(literal 1 binary64))) (neg.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ z (+ z y)) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ z (+ z y)) #s(literal 1 binary64))) x)
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) #s(approx (/ z (+ z y)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) #s(approx (/ z (+ z y)) #s(literal 1 binary64))))
(*.f64 (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ z (+ z y)) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))))
(pow.f64 (/.f64 #s(approx (/ z (+ z y)) #s(literal 1 binary64)) x) #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) #s(approx (/ z (+ z y)) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 #s(approx (/ z (+ z y)) #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 #s(approx (/ z (+ z y)) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ z (+ z y)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 x) (neg.f64 #s(approx (/ z (+ z y)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 #s(approx (/ z (+ z y)) #s(literal 1 binary64))) x))
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ z (+ z y)) #s(literal 1 binary64)) x))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (/ z (+ z y)) #s(literal 1 binary64)) x)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(approx (/ z (+ z y)) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (neg.f64 x) #s(approx (/ z (+ z y)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ z (+ z y)) #s(literal 1 binary64)))) (/.f64 (neg.f64 x) #s(approx (/ z (+ z y)) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) #s(approx (/ z (+ z y)) #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (/ z (+ z y)) #s(literal 1 binary64)) x)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ z (+ z y)) #s(literal 1 binary64))))
(*.f64 #s(approx (/ z (+ z y)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (/ z (+ z y)) #s(literal 1 binary64)))
#s(approx (/ z (+ z y)) #s(literal 1 binary64))
(/.f64 (neg.f64 #s(approx (/ z (+ z y)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 #s(approx (/ z (+ z y)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ z (+ z y)) #s(literal 1 binary64))))
(neg.f64 (neg.f64 #s(approx (/ z (+ z y)) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ z (+ z y)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(approx (/ z (+ z y)) (/.f64 z y)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(approx (/ z (+ z y)) (/.f64 z y)) x) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) #s(approx (/ z (+ z y)) (/.f64 z y))))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ z (+ z y)) (/.f64 z y))) (neg.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ z (+ z y)) (/.f64 z y))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ z (+ z y)) (/.f64 z y))) x)
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) #s(approx (/ z (+ z y)) (/.f64 z y))))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) #s(approx (/ z (+ z y)) (/.f64 z y))))
(*.f64 (/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ z (+ z y)) (/.f64 z y))))
(*.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y))))
(pow.f64 (/.f64 #s(approx (/ z (+ z y)) (/.f64 z y)) x) #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) #s(approx (/ z (+ z y)) (/.f64 z y)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 #s(approx (/ z (+ z y)) (/.f64 z y))))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x z) y x)))
(neg.f64 (/.f64 (*.f64 (fma.f64 (/.f64 x z) y x) (fma.f64 (neg.f64 y) (/.f64 x z) x)) (fma.f64 (/.f64 y z) x (neg.f64 x))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 z z) z)) (.f64 y y)) y (.f64 (.f64 x x) x))) (fma.f64 (.f64 (/.f64 x z) y) (fma.f64 (/.f64 y z) x (neg.f64 x)) (.f64 x x))))
(neg.f64 (/.f64 (fma.f64 (.f64 (/.f64 (.f64 x x) (.f64 z z)) y) y (.f64 (neg.f64 x) x)) (fma.f64 (neg.f64 y) (/.f64 x z) x)))
(neg.f64 (/.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 z z) z)) (.f64 y y)) y (.f64 (.f64 x x) x)) (neg.f64 (fma.f64 (.f64 (/.f64 x z) y) (fma.f64 (/.f64 y z) x (neg.f64 x)) (.f64 x x)))))
(fma.f64 (/.f64 (.f64 (.f64 (/.f64 (.f64 x x) (.f64 z z)) y) y) (fma.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 z z) z)) (.f64 (.f64 y y) y) (.f64 (.f64 (neg.f64 x) x) x))) (fma.f64 (.f64 (/.f64 (.f64 x x) (.f64 z z)) y) y (.f64 x (fma.f64 (/.f64 x z) y x))) (neg.f64 (*.f64 x (/.f64 x (fma.f64 (/.f64 y z) x (neg.f64 x))))))
(fma.f64 (/.f64 (.f64 (.f64 (/.f64 (.f64 x x) (.f64 z z)) y) y) (fma.f64 (.f64 (/.f64 (.f64 x x) (.f64 z z)) y) y (.f64 (neg.f64 x) x))) (fma.f64 (/.f64 x z) y x) (neg.f64 (*.f64 x (/.f64 x (fma.f64 (/.f64 y z) x (neg.f64 x))))))
(fma.f64 (.f64 (.f64 y x) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)) x)
(fma.f64 (/.f64 (*.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z) x)
(fma.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 y z) x)
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 x) z) x)
(fma.f64 (.f64 (.f64 y x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z) x)
(fma.f64 (.f64 (.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z) x)
(fma.f64 (.f64 (/.f64 (.f64 x x) (.f64 z z)) y) (/.f64 y (fma.f64 (/.f64 y z) x (neg.f64 x))) (neg.f64 (.f64 x (/.f64 x (fma.f64 (/.f64 y z) x (neg.f64 x))))))
(fma.f64 (.f64 (.f64 (/.f64 x z) y) y) (/.f64 (/.f64 x z) (fma.f64 (/.f64 y z) x (neg.f64 x))) (neg.f64 (*.f64 x (/.f64 x (fma.f64 (/.f64 y z) x (neg.f64 x))))))
(fma.f64 (*.f64 x (/.f64 (neg.f64 y) z)) #s(literal -1 binary64) x)
(fma.f64 (/.f64 (.f64 x x) (.f64 z z)) (/.f64 (.f64 y y) (fma.f64 (/.f64 y z) x (neg.f64 x))) (neg.f64 (.f64 x (/.f64 x (fma.f64 (/.f64 y z) x (neg.f64 x))))))
(fma.f64 (/.f64 (neg.f64 y) z) (neg.f64 x) x)
(fma.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) z) x)
(fma.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(fma.f64 (/.f64 y z) (/.f64 x #s(literal 1 binary64)) x)
(fma.f64 (/.f64 y z) x x)
(fma.f64 (.f64 (.f64 (/.f64 (.f64 x x) (.f64 z z)) y) y) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) (/.f64 x z) x)) (neg.f64 (*.f64 x (/.f64 x (fma.f64 (/.f64 y z) x (neg.f64 x))))))
(fma.f64 (.f64 y y) (/.f64 (/.f64 (.f64 x x) (.f64 z z)) (fma.f64 (/.f64 y z) x (neg.f64 x))) (neg.f64 (.f64 x (/.f64 x (fma.f64 (/.f64 y z) x (neg.f64 x))))))
(fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) z) y) x)
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 y) z) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (/.f64 x z) y))
(fma.f64 (.f64 (/.f64 x z) y) (/.f64 (.f64 (/.f64 x z) y) (fma.f64 (/.f64 y z) x (neg.f64 x))) (neg.f64 (*.f64 x (/.f64 x (fma.f64 (/.f64 y z) x (neg.f64 x))))))
(fma.f64 (*.f64 (/.f64 x z) y) #s(literal 1 binary64) x)
(fma.f64 (/.f64 x z) (/.f64 (.f64 (.f64 (/.f64 x z) y) y) (fma.f64 (/.f64 y z) x (neg.f64 x))) (neg.f64 (*.f64 x (/.f64 x (fma.f64 (/.f64 y z) x (neg.f64 x))))))
(fma.f64 (/.f64 x z) y x)
(fma.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) z) x)
(fma.f64 y (/.f64 (.f64 (/.f64 (.f64 x x) (.f64 z z)) y) (fma.f64 (/.f64 y z) x (neg.f64 x))) (neg.f64 (.f64 x (/.f64 x (fma.f64 (/.f64 y z) x (neg.f64 x))))))
(fma.f64 y (/.f64 x z) x)
(fma.f64 x (/.f64 y z) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (/.f64 x z) y))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (/.f64 #s(literal 1 binary64) x)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x) x)
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 x z) y) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (/.f64 x z) y))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (/.f64 x z) y))) (/.f64 (.f64 (.f64 (/.f64 (.f64 x x) (.f64 z z)) y) y) (-.f64 x (*.f64 (/.f64 x z) y))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 (fma.f64 (/.f64 y z) x (neg.f64 x)) (.f64 z z))) (.f64 x (/.f64 x (fma.f64 (/.f64 y z) x (neg.f64 x)))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 (fma.f64 (/.f64 y z) x (neg.f64 x)) (.f64 z z))) (neg.f64 (.f64 x (/.f64 x (fma.f64 (/.f64 y z) x (neg.f64 x))))))
(+.f64 (*.f64 (/.f64 x z) y) x)
(+.f64 x (*.f64 (/.f64 x z) y))
(.f64 (.f64 x (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 (neg.f64 x) z) #s(literal -1 binary64))
(.f64 (pow.f64 z #s(literal -1/2 binary64)) (.f64 (pow.f64 z #s(literal -1/2 binary64)) x))
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) z) x))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) z))
(*.f64 (/.f64 x z) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) z) x)
(*.f64 #s(literal 1 binary64) (/.f64 x z))
(pow.f64 (/.f64 z x) #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) z)
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 z))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 z))
(/.f64 (neg.f64 x) (neg.f64 z))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) x))
(/.f64 (/.f64 x z) #s(literal 1 binary64))
(/.f64 x z)
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 z x))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 z x)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) z)))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) x))
(neg.f64 (/.f64 (neg.f64 x) z))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (neg.f64 x) z))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) z))
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal -1 binary64)))

eval64.0ms (1.4%)

Memory: 8.8MiB live, 127.8MiB allocated
Compiler: Compiled 7 327 to 621 computations (91.5% saved)

prune73.0ms (1.6%)

Memory

-6.4MiB live, 161.0MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	567	0	567
Fresh	0	0	0
Picked	0	4	4
Done	0	2	2
Total	567	6	573

Accuracy

100.0%

Counts

573 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	94.3%	(fma.f64 (/.f64 x z) y x)
✓	42.7%	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
✓	42.7%	(/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y)))
✓	57.1%	(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))
✓	42.7%	(.f64 (/.f64 #s(literal 1 binary64) z) #s(approx ( x (+ y z)) (*.f64 y x)))
✓	96.6%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))

Compiler

Compiled 131 to 58 computations (55.7% saved)

regimes18.0ms (0.4%)

Memory

10.4MiB live, 49.3MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	y
4.0ms	z
4.0ms	x
4.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)

Results

Accuracy	Segments	Branch
96.8%	1	`x`
96.8%	1	`y`
96.8%	1	`z`
96.8%	1	`(/.f64 (*.f64 x (+.f64 y z)) z)`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes18.0ms (0.4%)

Memory

5.9MiB live, 48.7MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	z
4.0ms	x
4.0ms	y
4.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)

Results

Accuracy	Segments	Branch
96.6%	1	`x`
96.6%	1	`z`
96.6%	1	`(/.f64 (*.f64 x (+.f64 y z)) z)`
96.6%	1	`y`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes9.0ms (0.2%)

Memory

-20.1MiB live, 18.8MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	y
2.0ms	z
2.0ms	x
2.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)

Results

Accuracy	Segments	Branch
61.2%	3	`x`
78.0%	3	`y`
76.4%	3	`z`
78.4%	2	`(/.f64 (*.f64 x (+.f64 y z)) z)`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes6.0ms (0.1%)

Memory

15.3MiB live, 15.3MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
57.1%	1	`x`
57.1%	1	`z`
57.1%	1	`y`
57.1%	1	`(/.f64 (*.f64 x (+.f64 y z)) z)`

Compiler

Compiled 22 to 15 computations (31.8% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-8.99687420040554e-256	0.0

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify6.0ms (0.1%)

Memory

12.5MiB live, 12.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	60
1	32	60

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 x (/.f64 z (+.f64 z y)))
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
(if (<=.f64 (/.f64 (.f64 x (+.f64 y z)) z) #s(literal -2113178124542661/4226356249085321970818718279332132852150778608288972177023685672213391220453798875795338047101257503157395159946057029431058780476021484298004311827703516615267093471992040673349852141411411528424193863265689507233184226342012493910707175190136291811916308647181903986688 binary64)) (/.f64 #s(approx ( x (+ y z)) (*.f64 y x)) z) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))))
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))

Outputs
(/.f64 x (/.f64 z (+.f64 z y)))
(/.f64 x (/.f64 z (+.f64 y z)))
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
(if (<=.f64 (/.f64 (.f64 x (+.f64 y z)) z) #s(literal -2113178124542661/4226356249085321970818718279332132852150778608288972177023685672213391220453798875795338047101257503157395159946057029431058780476021484298004311827703516615267093471992040673349852141411411528424193863265689507233184226342012493910707175190136291811916308647181903986688 binary64)) (/.f64 #s(approx ( x (+ y z)) (*.f64 y x)) z) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (.f64 (+.f64 y z) x) z) #s(literal -2113178124542661/4226356249085321970818718279332132852150778608288972177023685672213391220453798875795338047101257503157395159946057029431058780476021484298004311827703516615267093471992040673349852141411411528424193863265689507233184226342012493910707175190136291811916308647181903986688 binary64)) (/.f64 #s(approx ( x (+ y z)) (*.f64 y x)) z) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))))
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64)))

soundness850.0ms (18.3%)

Memory

-15.9MiB live, 373.6MiB allocated

Rules

10 914×	`lower-fma.f64`
10 914×	`lower-fma.f32`
4 302×	`lower-fma.f64`
4 302×	`lower-fma.f32`
4 234×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	158	2361
1	497	2340
2	1317	2310
3	4811	2308
0	8312	2115
0	6	15
0	9	15
1	40	15
2	256	15
3	2320	15
0	8156	15
0	50	456
1	171	456
2	482	456
3	1327	456
4	2607	456
5	3103	456
6	3446	456
7	3884	456
8	4074	456
9	4117	456
10	5984	456
11	6760	456
12	6984	456
13	7382	456
14	7394	456
15	7403	456
0	8073	426

Stop Event

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

Compiler

Compiled 142 to 70 computations (50.7% saved)

preprocess76.0ms (1.6%)

Memory: -4.5MiB live, 155.5MiB allocated
Remove: (negabs x)
Compiler: Compiled 162 to 82 computations (49.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	19	88
0	28	88
1	45	86
2	53	86
3	61	86
4	63	86
5	65	86
6	71	86
7	71	86
8	109	86
9	122	86
10	182	86
11	202	86
12	211	86
13	223	86
14	223	86
0	223	86

Iter	Nodes	Cost
0	19	88
0	28	88
1	45	86
2	53	86
3	61	86
4	63	86
5	65	86
6	71	86
7	71	86
8	109	86
9	122	86
10	182	86
11	202	86
12	211	86
13	223	86
14	223	86
0	223	86

start0.0ms (0%)

analyze41.0ms (0.9%)

sample899.0ms (19.3%)

explain54.0ms (1.2%)

preprocess248.0ms (5.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify133.0ms (2.9%)

localize17.0ms (0.4%)

series8.0ms (0.2%)

simplify219.0ms (4.7%)

rewrite219.0ms (4.7%)

eval89.0ms (1.9%)

prune177.0ms (3.8%)

simplify122.0ms (2.6%)

localize73.0ms (1.6%)

series22.0ms (0.5%)

simplify152.0ms (3.3%)

rewrite186.0ms (4%)

eval254.0ms (5.5%)

prune238.0ms (5.1%)

simplify11.0ms (0.2%)

localize49.0ms (1.1%)

series12.0ms (0.2%)

simplify161.0ms (3.5%)

rewrite145.0ms (3.1%)

eval64.0ms (1.4%)

prune73.0ms (1.6%)

regimes18.0ms (0.4%)

regimes18.0ms (0.4%)

regimes9.0ms (0.2%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

soundness850.0ms (18.3%)

preprocess76.0ms (1.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	19	88
0	28	88
1	45	86
2	53	86
3	61	86
4	63	86
5	65	86
6	71	86
7	71	86
8	109	86
9	122	86
10	182	86
11	202	86
12	211	86
13	223	86
14	223	86
0	223	86