Metrics for Crypto.Random.Test:calculate from crypto-random-0.0.9

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze129.0ms (2.4%)

Memory

-14.1MiB live, 65.5MiB 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)

sample894.0ms (16.7%)

Memory

11.3MiB live, 1 120.2MiB allocated

Samples

624.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 446.0ms

ival-mult: 317.0ms (71% of total)

ival-div: 84.0ms (18.8% of total)

ival-add: 37.0ms (8.3% of total)

ival-true: 6.0ms (1.3% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain289.0ms (5.4%)

Memory

8.4MiB live, 85.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
38	-	2	(-1.4543480407270352e+59 4.3703869554503775e-159 9.07823971528732e-228)	`(/.f64 (*.f64 y y) z)`
0	-	0	-	`(+.f64 x (/.f64 (*.f64 y y) z))`
0	-	0	-	`y`
0	-	0	-	`(*.f64 y y)`
0	-	0	-	`z`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 y y) z)`	o/n	26	0
↳	`(*.f64 y y)`	overflow	76
`/.f64`	`(/.f64 (*.f64 y y) z)`	u/n	1	0
↳	`(*.f64 y y)`	underflow	56

Confusion

	Predicted +	Predicted -
+	27	1
-	0	228

Precision

1.0

Recall

0.9642857142857143

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	27	0	1
-	0	0	228

Precision?

1.0

Recall?

0.9642857142857143

Freqs

test

number	freq
0	229
1	27

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

249.0ms

512×

valid

Compiler

Compiled 50 to 22 computations (56% saved)

Precisions

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

ival-mult: 4.0ms (39.9% of total)

ival-div: 3.0ms (30% of total)

ival-add: 2.0ms (20% of total)

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

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

preprocess63.0ms (1.2%)

Memory

0.9MiB live, 43.6MiB allocated

Algorithm

1×	egg-herbie

Rules

698×	`times-frac`
272×	`unsub-neg`
210×	`distribute-rgt-in`
196×	`distribute-lft-in`
154×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	68
1	72	64
2	175	64
3	519	64
4	1164	64
5	1897	64
6	2027	64
7	2087	64
8	2133	64
9	2145	64
0	6	7
0	9	7
1	12	7
2	13	7
0	13	6

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs y)

Compiler

Compiled 10 to 6 computations (40% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.9%	(+.f64 x (/.f64 (*.f64 y y) z))

Compiler

Compiled 10 to 6 computations (40% saved)

simplify4.0ms (0.1%)

Memory

4.9MiB live, 4.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

6×	`lower-*.f32`
4×	`lower-*.f64`
4×	`lower-fma.f64`
4×	`lower-/.f32`
4×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	12	18
2	13	18
0	13	17

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize21.0ms (0.4%)

Memory

4.4MiB live, 41.8MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y y)
accuracy	0.01171875	(+.f64 x (/.f64 (*.f64 y y) z))
accuracy	8.656117449341147	(/.f64 (*.f64 y y) z)

Samples

14.0ms

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 (20.4% of total)

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

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

series5.0ms (0.1%)

Memory

14.0MiB live, 14.0MiB allocated

Counts

3 → 72

Calls

Call 1

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

Inputs

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

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

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

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

Calls

18 calls:

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

simplify174.0ms (3.3%)

Memory

-1.3MiB live, 274.7MiB allocated

Algorithm

1×	egg-herbie

Rules

4 568×	`lower-fma.f64`
4 568×	`lower-fma.f32`
3 642×	`lower-*.f64`
3 642×	`lower-*.f32`
1 234×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	376
1	58	376
2	150	376
3	489	376
4	2218	376
5	4057	376
6	6054	376
7	7774	376
0	8059	349

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 67

Calls

Call 1

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

Outputs
(/ (pow y 2) z)
(/.f64 (*.f64 y y) z)
(+ x (/ (pow y 2) z))
(fma.f64 y (/.f64 y z) x)
(+ x (/ (pow y 2) z))
(fma.f64 y (/.f64 y z) x)
(+ x (/ (pow y 2) z))
(fma.f64 y (/.f64 y z) x)
x
(* x (+ 1 (/ (pow y 2) (* x z))))
(fma.f64 y (/.f64 y z) x)
(* x (+ 1 (/ (pow y 2) (* x z))))
(fma.f64 y (/.f64 y z) x)
(* x (+ 1 (/ (pow y 2) (* x z))))
(fma.f64 y (/.f64 y z) x)
x
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(fma.f64 y (/.f64 y z) x)
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(fma.f64 y (/.f64 y z) x)
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(fma.f64 y (/.f64 y z) x)
x
(+ x (/ (pow y 2) z))
(fma.f64 y (/.f64 y z) x)
(+ x (/ (pow y 2) z))
(fma.f64 y (/.f64 y z) x)
(+ x (/ (pow y 2) z))
(fma.f64 y (/.f64 y z) x)
(/ (pow y 2) z)
(/.f64 (*.f64 y y) z)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(fma.f64 y (/.f64 y z) x)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(fma.f64 y (/.f64 y z) x)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(fma.f64 y (/.f64 y z) x)
(/ (pow y 2) z)
(/.f64 (*.f64 y y) z)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(fma.f64 y (/.f64 y z) x)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(fma.f64 y (/.f64 y z) x)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(fma.f64 y (/.f64 y z) x)
(/ (pow y 2) z)
(/.f64 (*.f64 y y) z)
(/ (+ (* x z) (pow y 2)) z)
(/.f64 (fma.f64 y y (*.f64 z x)) z)
(/ (+ (* x z) (pow y 2)) z)
(/.f64 (fma.f64 y y (*.f64 z x)) z)
(/ (+ (* x z) (pow y 2)) z)
(/.f64 (fma.f64 y y (*.f64 z x)) z)
x
(+ x (/ (pow y 2) z))
(fma.f64 y (/.f64 y z) x)
(+ x (/ (pow y 2) z))
(fma.f64 y (/.f64 y z) x)
(+ x (/ (pow y 2) z))
(fma.f64 y (/.f64 y z) x)
x
(+ x (/ (pow y 2) z))
(fma.f64 y (/.f64 y z) x)
(+ x (/ (pow y 2) z))
(fma.f64 y (/.f64 y z) x)
(+ x (/ (pow y 2) z))
(fma.f64 y (/.f64 y z) x)
(/ (pow y 2) z)
(/.f64 (*.f64 y y) z)
(/ (pow y 2) z)
(/.f64 (*.f64 y y) z)
(/ (pow y 2) z)
(/.f64 (*.f64 y y) z)
(/ (pow y 2) z)
(/.f64 (*.f64 y y) z)
(/ (pow y 2) z)
(/.f64 (*.f64 y y) z)
(/ (pow y 2) z)
(/.f64 (*.f64 y y) z)
(/ (pow y 2) z)
(/.f64 (*.f64 y y) z)
(/ (pow y 2) z)
(/.f64 (*.f64 y y) z)
(/ (pow y 2) z)
(/.f64 (*.f64 y y) z)
(/ (pow y 2) z)
(/.f64 (*.f64 y y) z)
(/ (pow y 2) z)
(/.f64 (*.f64 y y) z)
(/ (pow y 2) z)
(/.f64 (*.f64 y y) z)
(/ (pow y 2) z)
(/.f64 (*.f64 y y) z)
(/ (pow y 2) z)
(/.f64 (*.f64 y y) z)
(/ (pow y 2) z)
(/.f64 (*.f64 y y) z)
(/ (pow y 2) z)
(/.f64 (*.f64 y y) z)
(/ (pow y 2) z)
(/.f64 (*.f64 y y) z)
(/ (pow y 2) z)
(/.f64 (*.f64 y y) z)
(/ (pow y 2) z)
(/.f64 (*.f64 y y) z)
(/ (pow y 2) z)
(/.f64 (*.f64 y y) z)
(/ (pow y 2) z)
(/.f64 (*.f64 y y) z)
(/ (pow y 2) z)
(/.f64 (*.f64 y y) z)
(/ (pow y 2) z)
(/.f64 (*.f64 y y) z)
(/ (pow y 2) z)
(/.f64 (*.f64 y y) z)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)

rewrite261.0ms (4.9%)

Memory

-20.0MiB live, 418.9MiB allocated

Rules

3 422×	`lower-*.f32`
3 420×	`lower-*.f64`
3 366×	`lower-fma.f64`
3 366×	`lower-fma.f32`
2 610×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	35	15
2	269	15
3	4534	15
0	8159	14

Stop Event

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

Counts

3 → 147

Calls

Call 1

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

Outputs
(+.f64 x (/.f64 (*.f64 y y) z))
(+.f64 (/.f64 (*.f64 y y) z) x)
(+.f64 (/.f64 (.f64 x x) (fma.f64 y (/.f64 (neg.f64 y) z) x)) (neg.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (fma.f64 y (/.f64 (neg.f64 y) z) x) (.f64 z z)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 y z) x))) #s(literal -1 binary64)))
(-.f64 x (/.f64 (*.f64 y (neg.f64 y)) z))
(-.f64 (/.f64 (.f64 x x) (fma.f64 y (/.f64 (neg.f64 y) z) x)) (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (fma.f64 y (/.f64 (neg.f64 y) z) x) (.f64 z z))))
(-.f64 (/.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 z z)) (fma.f64 y (/.f64 y z) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 y (/.f64 y z) (neg.f64 x))))
(fma.f64 x #s(literal 1 binary64) (/.f64 (*.f64 y y) z))
(fma.f64 x (/.f64 x (fma.f64 y (/.f64 (neg.f64 y) z) x)) (neg.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (fma.f64 y (/.f64 (neg.f64 y) z) x) (*.f64 z z)))))
(fma.f64 y (/.f64 y z) x)
(fma.f64 y (*.f64 (/.f64 y z) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) z) x)
(fma.f64 (/.f64 (*.f64 y y) z) #s(literal 1 binary64) x)
(fma.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal -1 binary64) z) x)
(fma.f64 (.f64 y (neg.f64 y)) (.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) x)
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 (neg.f64 y) z) x)) (neg.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (fma.f64 y (/.f64 (neg.f64 y) z) x) (.f64 z z)))))
(fma.f64 #s(literal 1 binary64) x (/.f64 (*.f64 y y) z))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) z) x)
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y) x)
(fma.f64 (/.f64 y z) y x)
(fma.f64 (/.f64 y z) (*.f64 y #s(literal 1 binary64)) x)
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (neg.f64 y)) z) x)
(fma.f64 (neg.f64 y) (/.f64 y (neg.f64 z)) x)
(fma.f64 (neg.f64 y) (*.f64 y (/.f64 #s(literal -1 binary64) z)) x)
(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 y (neg.f64 y)) x)
(fma.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 y z) x)
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 y) z) x)
(fma.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 y z) x)
(fma.f64 (pow.f64 (/.f64 (.f64 y y) z) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (.f64 y y) z) #s(literal 1/2 binary64)) x)
(fma.f64 (/.f64 (.f64 x x) (-.f64 (.f64 x x) (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 z z)))) (fma.f64 y (/.f64 y z) x) (neg.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (fma.f64 y (/.f64 (neg.f64 y) z) x) (*.f64 z z)))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))) (.f64 x (.f64 x x)))) (fma.f64 x x (.f64 (/.f64 (.f64 y y) z) (fma.f64 y (/.f64 y z) x))) (neg.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (fma.f64 y (/.f64 (neg.f64 y) z) x) (.f64 z z)))))
(fma.f64 (exp.f64 (log.f64 (*.f64 y (neg.f64 y)))) (exp.f64 (neg.f64 (log.f64 (neg.f64 z)))) x)
(neg.f64 (/.f64 (fma.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))) (.f64 x (.f64 x x))) (neg.f64 (fma.f64 (/.f64 (.f64 y y) z) (fma.f64 y (/.f64 y z) (neg.f64 x)) (.f64 x x)))))
(neg.f64 (/.f64 (-.f64 (.f64 x x) (/.f64 (.f64 y (.f64 y (.f64 y y))) (*.f64 z z))) (neg.f64 (fma.f64 y (/.f64 (neg.f64 y) z) x))))
(neg.f64 (/.f64 (fma.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))) (neg.f64 (.f64 x (.f64 x x)))) (fma.f64 (/.f64 (.f64 y y) z) (fma.f64 y (/.f64 y z) (neg.f64 x)) (.f64 x x))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (.f64 x x)) (/.f64 (.f64 y (.f64 y (.f64 y y))) (*.f64 z z))) (fma.f64 y (/.f64 (neg.f64 y) z) x)))
(/.f64 (fma.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))) (.f64 x (.f64 x x))) (fma.f64 (/.f64 (.f64 y y) z) (fma.f64 y (/.f64 y z) (neg.f64 x)) (.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 y z) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 y z) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 y z) (neg.f64 x)) (-.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 z z)) (*.f64 x x))))
(/.f64 (-.f64 (.f64 x x) (/.f64 (.f64 y (.f64 y (.f64 y y))) (*.f64 z z))) (fma.f64 y (/.f64 (neg.f64 y) z) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 y z) x))))
(/.f64 (fma.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))) (neg.f64 (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 (/.f64 (.f64 y y) z) (fma.f64 y (/.f64 y z) (neg.f64 x)) (.f64 x x))))
(/.f64 (+.f64 (neg.f64 (.f64 x x)) (/.f64 (.f64 y (.f64 y (.f64 y y))) (*.f64 z z))) (neg.f64 (fma.f64 y (/.f64 (neg.f64 y) z) x)))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (pow.f64 (/.f64 (.f64 y y) z) #s(literal 9 binary64))) (.f64 (fma.f64 (/.f64 (.f64 y y) z) (fma.f64 y (/.f64 y z) (neg.f64 x)) (.f64 x x)) (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 z (.f64 z z))) (-.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 z (.f64 z z))) (.f64 x (.f64 x x)))))))
(/.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (/.f64 (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))))) (.f64 (fma.f64 (/.f64 (.f64 y y) z) (fma.f64 y (/.f64 y z) (neg.f64 x)) (.f64 x x)) (fma.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))) (.f64 x (*.f64 x x)))))
(/.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (/.f64 (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))))) (.f64 (fma.f64 y (/.f64 (neg.f64 y) z) x) (fma.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 z z)) (fma.f64 x x (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 z z))) (.f64 x (.f64 x (.f64 x x))))))
(/.f64 (-.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 z z)) (*.f64 x x)) (fma.f64 y (/.f64 y z) (neg.f64 x)))
(/.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 y (.f64 y (.f64 y y)))) (.f64 (.f64 z z) (.f64 z z)))) (.f64 (fma.f64 y (/.f64 (neg.f64 y) z) x) (fma.f64 x x (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 z z)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 y (/.f64 (neg.f64 y) z) x)) (.f64 (fma.f64 y (/.f64 (neg.f64 y) z) x) (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 z z)))) (.f64 (fma.f64 y (/.f64 (neg.f64 y) z) x) (fma.f64 y (/.f64 (neg.f64 y) z) x)))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (pow.f64 (/.f64 (.f64 y y) z) #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 z (.f64 z z))) (-.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 z (.f64 z z))) (.f64 x (.f64 x x))))) (fma.f64 (/.f64 (.f64 y y) z) (fma.f64 y (/.f64 y z) (neg.f64 x)) (*.f64 x x))))
(/.f64 (.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (/.f64 (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))) (.f64 x (.f64 x x))) (fma.f64 (/.f64 (.f64 y y) z) (fma.f64 y (/.f64 y z) (neg.f64 x)) (.f64 x x))))
(/.f64 (.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (/.f64 (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))))) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 z z)) (fma.f64 x x (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 z z))) (.f64 x (.f64 x (*.f64 x x)))) (fma.f64 y (/.f64 (neg.f64 y) z) x)))
(/.f64 (.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 y (.f64 y (.f64 y y)))) (.f64 (.f64 z z) (.f64 z z)))) #s(literal 1 binary64)) (.f64 (fma.f64 x x (/.f64 (.f64 y (.f64 y (.f64 y y))) (*.f64 z z))) (fma.f64 y (/.f64 (neg.f64 y) z) x)))
(/.f64 (neg.f64 (fma.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))) (neg.f64 (.f64 x (.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (.f64 y y) z) (fma.f64 y (/.f64 y z) (neg.f64 x)) (.f64 x x)))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (.f64 x x)) (/.f64 (.f64 y (.f64 y (.f64 y y))) (*.f64 z z)))) (neg.f64 (neg.f64 (fma.f64 y (/.f64 (neg.f64 y) z) x))))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 z z)) (*.f64 x x))) (neg.f64 (fma.f64 y (/.f64 y z) (neg.f64 x))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 (.f64 x x) (fma.f64 y (/.f64 (neg.f64 y) z) x)) (/.f64 (.f64 x x) (fma.f64 y (/.f64 (neg.f64 y) z) x))) (/.f64 (.f64 x x) (fma.f64 y (/.f64 (neg.f64 y) z) x))) (pow.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (fma.f64 y (/.f64 (neg.f64 y) z) x) (.f64 z z))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x x) (fma.f64 y (/.f64 (neg.f64 y) z) x)) (/.f64 (.f64 x x) (fma.f64 y (/.f64 (neg.f64 y) z) x)) (fma.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (fma.f64 y (/.f64 (neg.f64 y) z) x) (.f64 z z))) (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (fma.f64 y (/.f64 (neg.f64 y) z) x) (.f64 z z))) (.f64 (/.f64 (.f64 x x) (fma.f64 y (/.f64 (neg.f64 y) z) x)) (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (fma.f64 y (/.f64 (neg.f64 y) z) x) (*.f64 z z)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (fma.f64 y (/.f64 (neg.f64 y) z) x)) (/.f64 (.f64 x x) (fma.f64 y (/.f64 (neg.f64 y) z) x))) (.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (fma.f64 y (/.f64 (neg.f64 y) z) x) (.f64 z z))) (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (fma.f64 y (/.f64 (neg.f64 y) z) x) (.f64 z z))))) (fma.f64 x (/.f64 x (fma.f64 y (/.f64 (neg.f64 y) z) x)) (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (fma.f64 y (/.f64 (neg.f64 y) z) x) (*.f64 z z)))))
(/.f64 (.f64 (fma.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (fma.f64 (/.f64 (.f64 y y) z) (fma.f64 y (/.f64 y z) (neg.f64 x)) (*.f64 x x)))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (pow.f64 (/.f64 (.f64 y y) z) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 y y) z) (fma.f64 y (/.f64 y z) (neg.f64 x)) (.f64 x x)))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 z (.f64 z z))) (-.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 z (.f64 z z))) (.f64 x (.f64 x x))))))
(/.f64 (.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (/.f64 (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 y y) z) (fma.f64 y (/.f64 y z) (neg.f64 x)) (.f64 x x)))) (fma.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))) (.f64 x (*.f64 x x))))
(/.f64 (.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (/.f64 (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 (neg.f64 y) z) x))) (fma.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 z z)) (fma.f64 x x (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 z z))) (.f64 x (.f64 x (.f64 x x)))))
(/.f64 (.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 y (.f64 y (.f64 y y)))) (.f64 (.f64 z z) (.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 (neg.f64 y) z) x))) (fma.f64 x x (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 z z))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 y z) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 y z) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 y (/.f64 y z) (neg.f64 x)) (-.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 z z)) (*.f64 x x))) #s(literal -1 binary64))
(.f64 (fma.f64 y (/.f64 y z) x) (.f64 (fma.f64 y (/.f64 (neg.f64 y) z) x) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 (neg.f64 y) z) x))))
(*.f64 (fma.f64 y (/.f64 y z) x) (/.f64 (fma.f64 y (/.f64 (neg.f64 y) z) x) (fma.f64 y (/.f64 (neg.f64 y) z) x)))
(.f64 (fma.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 y y) z) (fma.f64 y (/.f64 y z) (neg.f64 x)) (*.f64 x x))))
(.f64 (fma.f64 (/.f64 (.f64 y y) z) (fma.f64 y (/.f64 y z) (neg.f64 x)) (.f64 x x)) (.f64 (fma.f64 y (/.f64 y z) x) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 y y) z) (fma.f64 y (/.f64 y z) (neg.f64 x)) (.f64 x x)))))
(.f64 (fma.f64 (/.f64 (.f64 y y) z) (fma.f64 y (/.f64 y z) (neg.f64 x)) (.f64 x x)) (/.f64 (fma.f64 y (/.f64 y z) x) (fma.f64 (/.f64 (.f64 y y) z) (fma.f64 y (/.f64 y z) (neg.f64 x)) (*.f64 x x))))
(*.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 y z) x))
(.f64 (-.f64 (.f64 x x) (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 (neg.f64 y) z) x)))
(.f64 (fma.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))) (neg.f64 (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 (.f64 y y) z) (fma.f64 y (/.f64 y z) (neg.f64 x)) (*.f64 x x)))))
(.f64 (+.f64 (neg.f64 (.f64 x x)) (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 z z))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (/.f64 (neg.f64 y) z) x))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 y y) z) (fma.f64 y (/.f64 y z) (neg.f64 x)) (.f64 x x))) (fma.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))) (.f64 x (*.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 (neg.f64 y) z) x)) (-.f64 (.f64 x x) (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 z z))))
(.f64 (-.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 z z)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 y z) (neg.f64 x))))
(.f64 (/.f64 (-.f64 (.f64 x x) (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 z z))) (fma.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))) (.f64 x (.f64 x x)))) (fma.f64 x x (.f64 (/.f64 (.f64 y y) z) (fma.f64 y (/.f64 y z) x))))
(.f64 (/.f64 (-.f64 (.f64 x x) (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 z z))) (-.f64 (.f64 x x) (/.f64 (.f64 y (.f64 y (.f64 y y))) (*.f64 z z)))) (fma.f64 y (/.f64 y z) x))
(.f64 (/.f64 (fma.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))) (.f64 x (.f64 x x))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 z (.f64 z z))) (.f64 (.f64 (fma.f64 y (/.f64 y z) (neg.f64 x)) (fma.f64 y (/.f64 y z) (neg.f64 x))) (fma.f64 y (/.f64 y z) (neg.f64 x)))))) (fma.f64 (.f64 (/.f64 (.f64 y y) z) (fma.f64 y (/.f64 y z) (neg.f64 x))) (-.f64 (.f64 (/.f64 (.f64 y y) z) (fma.f64 y (/.f64 y z) (neg.f64 x))) (.f64 x x)) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (/.f64 (fma.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))) (.f64 x (.f64 x x))) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 z z)) (.f64 (fma.f64 y (/.f64 y z) (neg.f64 x)) (fma.f64 y (/.f64 y z) (neg.f64 x)))))) (-.f64 (.f64 x x) (.f64 (/.f64 (*.f64 y y) z) (fma.f64 y (/.f64 y z) (neg.f64 x)))))
(exp.f64 (log.f64 (/.f64 (*.f64 y y) z)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 y y) z)) #s(literal 1 binary64)))
(exp.f64 (-.f64 (neg.f64 (log.f64 z)) (neg.f64 (log.f64 (*.f64 y y)))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y (neg.f64 y)) z))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (*.f64 y (neg.f64 y)) z))
(neg.f64 (/.f64 (*.f64 y (neg.f64 y)) z))
(neg.f64 (.f64 (/.f64 (.f64 y (neg.f64 y)) z) #s(literal 1 binary64)))
(/.f64 y (/.f64 z y))
(/.f64 (*.f64 y y) z)
(/.f64 (*.f64 y (neg.f64 y)) (neg.f64 z))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y y)))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 #s(literal -1 binary64) (/.f64 z (*.f64 y (neg.f64 y))))
(/.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 z y))
(/.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 z y))
(/.f64 (/.f64 (*.f64 y (neg.f64 y)) #s(literal -1 binary64)) z)
(/.f64 (exp.f64 (log.f64 (*.f64 y (neg.f64 y)))) (exp.f64 (log.f64 (neg.f64 z))))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (/.f64 z (*.f64 y (neg.f64 y))))))
(pow.f64 (/.f64 (*.f64 y y) z) #s(literal 1 binary64))
(pow.f64 (/.f64 z (*.f64 y y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 z z) (.f64 y (.f64 y (.f64 y y)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 z (*.f64 y y))))
(*.f64 y (/.f64 y z))
(.f64 y (.f64 (/.f64 y z) #s(literal 1 binary64)))
(.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) z))
(.f64 (/.f64 (.f64 y y) z) #s(literal 1 binary64))
(.f64 (.f64 y (neg.f64 y)) (/.f64 #s(literal -1 binary64) z))
(.f64 (.f64 y (neg.f64 y)) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) z))
(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y y))
(*.f64 (/.f64 y z) y)
(.f64 (/.f64 y z) (.f64 y #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 y (neg.f64 y)) z))
(*.f64 (neg.f64 y) (/.f64 y (neg.f64 z)))
(.f64 (neg.f64 y) (.f64 y (/.f64 #s(literal -1 binary64) z)))
(.f64 (/.f64 #s(literal -1 binary64) z) (.f64 y (neg.f64 y)))
(.f64 (.f64 #s(literal 1 binary64) y) (/.f64 y z))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 y) z))
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 y z))
(.f64 (pow.f64 (/.f64 (.f64 y y) z) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 1/2 binary64)))
(.f64 (exp.f64 (log.f64 (.f64 y (neg.f64 y)))) (exp.f64 (neg.f64 (log.f64 (neg.f64 z)))))
(exp.f64 (log.f64 (*.f64 y y)))
(exp.f64 (.f64 (log.f64 (.f64 y y)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 y y))) #s(literal -1 binary64)))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 y y))) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (neg.f64 (log.f64 (*.f64 y y)))))
(-.f64 #s(literal 0 binary64) (*.f64 y (neg.f64 y)))
(neg.f64 (*.f64 y (neg.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))
(*.f64 y y)
(.f64 y (.f64 y #s(literal 1 binary64)))
(*.f64 y (neg.f64 (neg.f64 y)))
(.f64 (.f64 y y) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 y y))
(.f64 #s(literal -1 binary64) (.f64 y (neg.f64 y)))
(*.f64 (neg.f64 y) (neg.f64 y))
(.f64 (.f64 #s(literal 1 binary64) y) y)
(*.f64 (neg.f64 (neg.f64 y)) y)

eval23.0ms (0.4%)

Memory: 8.0MiB live, 48.4MiB allocated
Compiler: Compiled 4 076 to 417 computations (89.8% saved)

prune29.0ms (0.5%)

Memory

-10.3MiB live, 68.2MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	208	6	214
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	209	6	215

Accuracy

100.0%

Counts

215 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (/.f64 y z) y x)
▶	89.9%	(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y) x)
▶	99.8%	(fma.f64 (neg.f64 y) (*.f64 y (/.f64 #s(literal -1 binary64) z)) x)
	44.8%	(fma.f64 x (/.f64 x (fma.f64 y (/.f64 (neg.f64 y) z) x)) (neg.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (fma.f64 y (/.f64 (neg.f64 y) z) x) (*.f64 z z)))))
▶	99.9%	(+.f64 x (/.f64 y (/.f64 z y)))
▶	44.9%	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))

Compiler

Compiled 170 to 92 computations (45.9% saved)

simplify53.0ms (1%)

Memory

27.5MiB live, 66.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal -1 binary64) z)
cost-diff	0	(neg.f64 y)
cost-diff	192	(*.f64 y (/.f64 #s(literal -1 binary64) z))
cost-diff	256	(fma.f64 (neg.f64 y) (*.f64 y (/.f64 #s(literal -1 binary64) z)) x)
cost-diff	0	(*.f64 y y)
cost-diff	0	(/.f64 #s(literal 1 binary64) z)
cost-diff	320	(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y) x)
cost-diff	0	(/.f64 y z)
cost-diff	0	(fma.f64 (/.f64 y z) y x)
cost-diff	0	(*.f64 y y)
cost-diff	0	(/.f64 (*.f64 y y) z)
cost-diff	0	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
cost-diff	0	(/.f64 z y)
cost-diff	128	(+.f64 x (/.f64 y (/.f64 z y)))
cost-diff	384	(/.f64 y (/.f64 z y))

Rules

484×	`times-frac`
390×	`div-sub`
368×	`lower-fma.f32`
362×	`lower-fma.f64`
348×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	94
0	38	87
1	60	86
2	100	86
3	187	86
4	333	86
5	458	86
6	860	86
7	1145	86
8	1620	86
9	1809	86
10	1905	86
11	1945	86
12	1947	86
0	1947	86

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize85.0ms (1.6%)

Memory

4.4MiB live, 83.8MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal -1 binary64) z)
accuracy	0	(neg.f64 y)
accuracy	0.078125	(fma.f64 (neg.f64 y) (*.f64 y (/.f64 #s(literal -1 binary64) z)) x)
accuracy	0.1640625	(*.f64 y (/.f64 #s(literal -1 binary64) z))
accuracy	0	(/.f64 #s(literal 1 binary64) z)
accuracy	0	(*.f64 y y)
accuracy	6.447663550798426	(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y) x)
accuracy	0	(/.f64 y z)
accuracy	0.078125	(fma.f64 (/.f64 y z) y x)
accuracy	0	(*.f64 y y)
accuracy	8.656117449341147	(/.f64 (*.f64 y y) z)
accuracy	30.10452782705327	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
accuracy	0	(/.f64 z y)
accuracy	0.01171875	(+.f64 x (/.f64 y (/.f64 z y)))
accuracy	0.12109375	(/.f64 y (/.f64 z y))

Samples

65.0ms

256×

valid

Compiler

Compiled 93 to 24 computations (74.2% saved)

Precisions

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

ival-div: 18.0ms (56% of total)

ival-mult: 7.0ms (21.8% of total)

ival-add: 5.0ms (15.6% of total)

ival-neg: 1.0ms (3.1% of total)

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

exact: 0.0ms (0% of total)

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

series17.0ms (0.3%)

Memory

-9.9MiB live, 27.7MiB allocated

Counts

14 → 348

Calls

Call 1

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

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

Calls

87 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(/ z y)
1.0ms	z	@	inf	(/ z y)
0.0ms	y	@	-inf	(/ y z)
0.0ms	y	@	-inf	(/ z y)
0.0ms	z	@	-inf	(/ z y)

simplify239.0ms (4.5%)

Memory

-3.3MiB live, 197.0MiB allocated

Algorithm

1×	egg-herbie

Rules

4 568×	`lower-fma.f64`
4 568×	`lower-fma.f32`
3 250×	`lower-*.f64`
3 250×	`lower-*.f32`
1 492×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	1712
1	68	1712
2	161	1712
3	492	1712
4	2185	1712
5	4072	1712
6	6140	1712
7	7994	1712
0	8011	1577

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 323

Calls

Call 1

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

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

rewrite834.0ms (15.6%)

Memory

14.9MiB live, 480.8MiB allocated

Rules

9 646×	`lower-fma.f32`
9 640×	`lower-fma.f64`
4 644×	`lower-*.f32`
4 640×	`lower-*.f64`
2 262×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	75
0	38	68
1	153	67
2	948	67
0	9230	67

Stop Event

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

Counts

14 → 660

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 y y) z))
(+.f64 (.f64 (/.f64 y (neg.f64 z)) #s(literal 0 binary64)) (/.f64 (.f64 y y) z))
(exp.f64 (.f64 (log.f64 (/.f64 z (.f64 y y))) #s(literal -1 binary64)))
(exp.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) (*.f64 (log.f64 z) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 z) #s(literal -1 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y (neg.f64 y)) z))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y (neg.f64 y)) z))
(fma.f64 (/.f64 y (neg.f64 z)) #s(literal 0 binary64) (/.f64 (*.f64 y y) z))
(neg.f64 (/.f64 (*.f64 y (neg.f64 y)) z))
(/.f64 y (/.f64 z y))
(/.f64 (*.f64 y y) z)
(/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y z)))
(/.f64 (neg.f64 y) (/.f64 z (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (/.f64 z (*.f64 y (neg.f64 y))))
(/.f64 (/.f64 y (neg.f64 z)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 y (neg.f64 y)) (neg.f64 z))
(/.f64 (/.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))) (.f64 z (.f64 z z))) (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 z z)) (.f64 #s(literal 0 binary64) (/.f64 (*.f64 y (neg.f64 y)) z)))))
(/.f64 (neg.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 z z))) (+.f64 #s(literal 0 binary64) (/.f64 (*.f64 y (neg.f64 y)) z)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 z (neg.f64 y))) (.f64 (/.f64 z (neg.f64 y)) y)) (.f64 z (/.f64 z (.f64 y y))))
(pow.f64 (/.f64 z (*.f64 y y)) #s(literal -1 binary64))
(*.f64 y (/.f64 y z))
(.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) z))
(.f64 (/.f64 (.f64 y y) z) #s(literal 1 binary64))
(*.f64 (/.f64 y z) y)
(*.f64 (/.f64 y z) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (/.f64 y z) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) z))
(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y y))
(.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal -1 binary64)))
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(/.f64 (neg.f64 (fma.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))) (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 x (-.f64 x (/.f64 (.f64 y y) z)) (/.f64 (.f64 y (.f64 y (.f64 y y))) (*.f64 z z)))))
(/.f64 (fma.f64 x (neg.f64 x) (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 z z))) (+.f64 (neg.f64 x) (/.f64 (*.f64 y y) z)))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 z z)) (.f64 x x))) (neg.f64 (-.f64 (/.f64 (.f64 y y) z) x)))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x (/.f64 (.f64 y y) z))) (.f64 (-.f64 x (/.f64 (.f64 y y) z)) (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 z z)))) (.f64 (-.f64 x (/.f64 (.f64 y y) z)) (-.f64 x (/.f64 (.f64 y y) z))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 z z)) (-.f64 (/.f64 (.f64 y y) z) x)) (.f64 (-.f64 (/.f64 (.f64 y y) z) x) (.f64 x x))) (.f64 (-.f64 (/.f64 (.f64 y y) z) x) (-.f64 (/.f64 (.f64 y y) z) x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))) (.f64 x (.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (.f64 y y) z) (-.f64 (/.f64 (.f64 y y) z) x) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))) (.f64 x (.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (/.f64 (.f64 y y) z)) (/.f64 (.f64 y (.f64 y (.f64 y y))) (*.f64 z z))))))
(/.f64 (neg.f64 (fma.f64 x (neg.f64 x) (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 z z)))) (neg.f64 (+.f64 (neg.f64 x) (/.f64 (*.f64 y y) z))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 z z)) (.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (/.f64 (.f64 y y) z) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (-.f64 x (/.f64 (.f64 y y) z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 z z)) (-.f64 x (/.f64 (.f64 y y) z))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x x) (-.f64 x (/.f64 (.f64 y y) z))) (/.f64 (.f64 x x) (-.f64 x (/.f64 (.f64 y y) z))) (fma.f64 (/.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 z z)) (-.f64 x (/.f64 (.f64 y y) z))) (/.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 z z)) (-.f64 x (/.f64 (.f64 y y) z))) (.f64 (/.f64 (.f64 x x) (-.f64 x (/.f64 (.f64 y y) z))) (/.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 z z)) (-.f64 x (/.f64 (*.f64 y y) z)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 z z)) (-.f64 (/.f64 (.f64 y y) z) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (-.f64 (/.f64 (.f64 y y) z) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 z z)) (-.f64 (/.f64 (.f64 y y) z) x)) (/.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 z z)) (-.f64 (/.f64 (.f64 y y) z) x)) (fma.f64 (/.f64 (.f64 x x) (-.f64 (/.f64 (.f64 y y) z) x)) (/.f64 (.f64 x x) (-.f64 (/.f64 (.f64 y y) z) x)) (.f64 (/.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 z z)) (-.f64 (/.f64 (.f64 y y) z) x)) (/.f64 (.f64 x x) (-.f64 (/.f64 (*.f64 y y) z) x))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (-.f64 x (/.f64 (.f64 y y) z))) (/.f64 (.f64 x x) (-.f64 x (/.f64 (.f64 y y) z)))) (.f64 (/.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 z z)) (-.f64 x (/.f64 (.f64 y y) z))) (/.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 z z)) (-.f64 x (/.f64 (.f64 y y) z))))) (+.f64 (/.f64 (.f64 x x) (-.f64 x (/.f64 (.f64 y y) z))) (/.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 z z)) (-.f64 x (/.f64 (*.f64 y y) z)))))
(/.f64 (-.f64 (.f64 (/.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 z z)) (-.f64 (/.f64 (.f64 y y) z) x)) (/.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 z z)) (-.f64 (/.f64 (.f64 y y) z) x))) (.f64 (/.f64 (.f64 x x) (-.f64 (/.f64 (.f64 y y) z) x)) (/.f64 (.f64 x x) (-.f64 (/.f64 (.f64 y y) z) x)))) (+.f64 (/.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 z z)) (-.f64 (/.f64 (.f64 y y) z) x)) (/.f64 (.f64 x x) (-.f64 (/.f64 (*.f64 y y) z) x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 y z) x)) #s(literal -1 binary64))
(.f64 (fma.f64 y (/.f64 y z) x) (.f64 (-.f64 x (/.f64 (.f64 y y) z)) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (.f64 y y) z)))))
(.f64 (fma.f64 y (/.f64 y z) x) (.f64 (-.f64 (/.f64 (.f64 y y) z) x) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 y y) z) x))))
(*.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 y z) x))
(.f64 (fma.f64 (/.f64 (.f64 y y) z) (-.f64 (/.f64 (.f64 y y) z) x) (.f64 x x)) (.f64 (fma.f64 y (/.f64 y z) x) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 y y) z) (-.f64 (/.f64 (.f64 y y) z) x) (.f64 x x)))))
(.f64 (fma.f64 (/.f64 (.f64 y y) z) (-.f64 (/.f64 (.f64 y y) z) x) (.f64 x x)) (.f64 (fma.f64 y (/.f64 y z) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (/.f64 (.f64 y y) z)) (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 z z))))))
(.f64 (fma.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 y y) z) (-.f64 (/.f64 (.f64 y y) z) x) (.f64 x x))))
(.f64 (fma.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (/.f64 (.f64 y y) z)) (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 z z)))))
(.f64 (fma.f64 x (-.f64 x (/.f64 (.f64 y y) z)) (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 z z))) (.f64 (fma.f64 y (/.f64 y z) x) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 y y) z) (-.f64 (/.f64 (.f64 y y) z) x) (.f64 x x)))))
(.f64 (fma.f64 x (-.f64 x (/.f64 (.f64 y y) z)) (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 z z))) (.f64 (fma.f64 y (/.f64 y z) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (/.f64 (.f64 y y) z)) (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 z z))))))
(.f64 (-.f64 (.f64 x x) (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (*.f64 y y) z))))
(.f64 (-.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 z z)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 y y) z) x)))
(.f64 (neg.f64 (fma.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 (.f64 y y) z) (-.f64 (/.f64 (.f64 y y) z) x) (.f64 x x)))))
(.f64 (neg.f64 (fma.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x (/.f64 (.f64 y y) z)) (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 z z))))))
(.f64 (fma.f64 x (neg.f64 x) (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) (/.f64 (.f64 y y) z))))
(.f64 (neg.f64 (-.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 z z)) (.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 (*.f64 y y) z) x))))
(-.f64 #s(literal 0 binary64) (/.f64 y z))
(neg.f64 (/.f64 y z))
(/.f64 y (neg.f64 z))
(/.f64 #s(literal 1 binary64) (/.f64 z (neg.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (neg.f64 y)) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -1 binary64) y))
(/.f64 (neg.f64 y) z)
(/.f64 #s(literal -1 binary64) (/.f64 z y))
(/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) y))
(pow.f64 (/.f64 z (neg.f64 y)) #s(literal -1 binary64))
(*.f64 y (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 y z) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 y))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y #s(literal -1 binary64)))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(*.f64 (/.f64 #s(literal -1 binary64) z) y)
(*.f64 (/.f64 y (neg.f64 z)) #s(literal 1 binary64))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))
(.f64 (.f64 (neg.f64 y) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)))
(+.f64 #s(literal 0 binary64) (neg.f64 y))
(-.f64 #s(literal 0 binary64) y)
(-.f64 (/.f64 #s(literal 0 binary64) y) y)
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) y)
(neg.f64 y)
(/.f64 (*.f64 y y) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (neg.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (.f64 y (.f64 y (neg.f64 y)))))
(/.f64 (*.f64 y (neg.f64 y)) y)
(/.f64 (.f64 y (.f64 y y)) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (.f64 y (.f64 y (neg.f64 y))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (.f64 y (.f64 y (neg.f64 y))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 y y) (.f64 #s(literal 0 binary64) (neg.f64 y)))))
(*.f64 y #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 y))
(*.f64 (neg.f64 y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) y)
(.f64 (.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y))
(.f64 (.f64 y (*.f64 y (neg.f64 y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(exp.f64 (*.f64 (log.f64 (neg.f64 z)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) z))
(neg.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (neg.f64 z))
(/.f64 #s(literal -1 binary64) z)
(pow.f64 (neg.f64 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))
(*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (neg.f64 (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 (neg.f64 z) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 z) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)))

eval170.0ms (3.2%)

Memory: 13.3MiB live, 258.5MiB allocated
Compiler: Compiled 15 435 to 785 computations (94.9% saved)

prune216.0ms (4%)

Memory

-28.6MiB live, 165.8MiB allocated

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	1 009	4	1 013
Fresh	1	0	1
Picked	3	2	5
Done	0	0	0
Total	1 013	6	1 019

Accuracy

100.0%

Counts

1 019 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 y z) y x)
▶	99.8%	(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) y x)
✓	44.9%	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
▶	52.9%	#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
▶	52.9%	#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
▶	44.9%	#s(approx (+ x (/ (* y y) z)) (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y y)))

Compiler

Compiled 58 to 34 computations (41.4% saved)

simplify7.0ms (0.1%)

Memory

18.4MiB live, 18.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 z y)
cost-diff	0	(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) y x)
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 z y))
cost-diff	0	(/.f64 z y)
cost-diff	0	#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
cost-diff	384	(/.f64 y (/.f64 z y))
cost-diff	0	(/.f64 y z)
cost-diff	0	(*.f64 (/.f64 y z) y)
cost-diff	0	#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
cost-diff	0	(*.f64 y y)
cost-diff	0	(/.f64 #s(literal 1 binary64) z)
cost-diff	0	#s(approx (+ x (/ (* y y) z)) (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y y)))
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y y))

Rules

34×	`lower-*.f32`
28×	`lower-*.f64`
18×	`associate-r`
16×	`lower-/.f32`
12×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	97
0	29	102
1	44	86
2	53	86
3	70	86
4	70	86
0	70	86

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize50.0ms (0.9%)

Memory

-5.9MiB live, 116.3MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 z y)
accuracy	0.078125	(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) y x)
accuracy	0.3567539289879278	(/.f64 #s(literal 1 binary64) (/.f64 z y))
accuracy	0	(/.f64 z y)
accuracy	0.12109375	(/.f64 y (/.f64 z y))
accuracy	30.10452782705327	#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
accuracy	0	(/.f64 y z)
accuracy	0.13671875	(*.f64 (/.f64 y z) y)
accuracy	30.10452782705327	#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
accuracy	0	(/.f64 #s(literal 1 binary64) z)
accuracy	0	(*.f64 y y)
accuracy	8.660023698893546	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y y))
accuracy	30.10452782705327	#s(approx (+ x (/ (* y y) z)) (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y y)))

Samples

34.0ms

256×

valid

Compiler

Compiled 80 to 18 computations (77.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-div: 10.0ms (45.3% of total)

ival-mult: 9.0ms (40.8% of total)

ival-add: 3.0ms (13.6% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.2%)

Memory

-13.0MiB live, 26.0MiB allocated

Counts

12 → 312

Calls

Call 1

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

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

Calls

78 calls:

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

simplify209.0ms (3.9%)

Memory

-23.9MiB live, 318.9MiB allocated

Algorithm

1×	egg-herbie

Rules

4 568×	`lower-fma.f64`
4 568×	`lower-fma.f32`
3 714×	`lower-*.f64`
3 714×	`lower-*.f32`
1 262×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	1528
1	60	1528
2	153	1528
3	495	1528
4	2245	1528
5	4085	1528
6	6097	1528
7	7880	1528
0	8165	1420

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 292

Calls

Call 1

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

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

rewrite246.0ms (4.6%)

Memory

36.1MiB live, 383.9MiB allocated

Rules

6 674×	`lower-fma.f32`
6 672×	`lower-fma.f64`
4 338×	`lower-*.f32`
4 332×	`lower-*.f64`
3 066×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	83
0	29	72
1	101	72
2	706	72
0	8979	72

Stop Event

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

Counts

12 → 412

Calls

Call 1

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

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

eval104.0ms (1.9%)

Memory: -2.6MiB live, 200.1MiB allocated
Compiler: Compiled 9 490 to 713 computations (92.5% saved)

prune62.0ms (1.2%)

Memory

12.8MiB live, 173.6MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	770	1	771
Fresh	0	0	0
Picked	0	4	4
Done	0	2	2
Total	770	7	777

Accuracy

100.0%

Counts

777 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 y z) y x)
✓	99.8%	(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) y x)
✓	44.9%	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
✓	52.9%	#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
✓	52.9%	#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
✓	44.9%	#s(approx (+ x (/ (* y y) z)) (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y y)))
▶	52.8%	#s(approx (+ x (/ (* y y) z)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y))

Compiler

Compiled 69 to 41 computations (40.6% saved)

simplify52.0ms (1%)

Memory

-30.1MiB live, 9.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

34×	`lower-*.f32`
30×	`lower-*.f64`
12×	`lower-fma.f64`
12×	`lower-fma.f32`
10×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	33
0	14	33
1	24	27
2	33	27
3	43	27
4	43	27
0	43	26

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize24.0ms (0.5%)

Memory

17.5MiB live, 17.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 1 binary64) z)
accuracy	0.13671875	(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y)
accuracy	0.1640625	(*.f64 (/.f64 #s(literal 1 binary64) z) y)
accuracy	30.10452782705327	#s(approx (+ x (/ (* y y) z)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y))

Samples

16.0ms

256×

valid

Compiler

Compiled 27 to 12 computations (55.6% saved)

Precisions

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

ival-mult: 4.0ms (43% of total)

ival-div: 3.0ms (32.3% of total)

ival-add: 1.0ms (10.8% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

2.6MiB live, 2.6MiB allocated

Counts

4 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

simplify190.0ms (3.5%)

Memory

-15.8MiB live, 265.4MiB allocated

Algorithm

1×	egg-herbie

Rules

4 568×	`lower-fma.f64`
4 568×	`lower-fma.f32`
3 642×	`lower-*.f64`
3 642×	`lower-*.f32`
1 238×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	448
1	59	448
2	152	448
3	491	448
4	2220	448
5	4058	448
6	6059	448
7	7778	448
0	8063	421

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 91

Calls

Call 1

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

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

rewrite226.0ms (4.2%)

Memory

13.1MiB live, 320.8MiB allocated

Rules

3 180×	`lower-fma.f64`
3 180×	`lower-fma.f32`
3 018×	`lower-*.f32`
3 014×	`lower-*.f64`
2 098×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	30
0	14	30
1	52	24
2	322	24
3	4665	24
0	9351	23

Stop Event

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

Counts

4 → 99

Calls

Call 1

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

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

eval20.0ms (0.4%)

Memory: 12.5MiB live, 50.7MiB allocated
Compiler: Compiled 1 580 to 227 computations (85.6% saved)

prune21.0ms (0.4%)

Memory

16.9MiB live, 55.7MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	190	0	190
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	190	7	197

Accuracy

100.0%

Counts

197 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 y z) y x)
✓	99.8%	(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) y x)
✓	44.9%	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
✓	52.9%	#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
✓	52.9%	#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
✓	44.9%	#s(approx (+ x (/ (* y y) z)) (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y y)))
✓	52.8%	#s(approx (+ x (/ (* y y) z)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y))

Compiler

Compiled 182 to 76 computations (58.2% saved)

regimes27.0ms (0.5%)

Memory

-14.3MiB live, 67.9MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

6 calls:

6.0ms	z
4.0ms	y
4.0ms	x
4.0ms	(+.f64 x (/.f64 (*.f64 y y) z))
4.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`
99.9%	1	`(+.f64 x (/.f64 (*.f64 y y) z))`
99.9%	1	`(/.f64 (*.f64 y y) z)`
99.9%	1	`(*.f64 y y)`

Compiler

Compiled 36 to 24 computations (33.3% saved)

regimes20.0ms (0.4%)

Memory

4.1MiB live, 43.7MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`
99.9%	1	`(+.f64 x (/.f64 (*.f64 y y) z))`
99.9%	1	`(/.f64 (*.f64 y y) z)`
99.9%	1	`(*.f64 y y)`

Compiler

Compiled 36 to 24 computations (33.3% saved)

regimes10.0ms (0.2%)

Memory

-19.7MiB live, 19.3MiB allocated

Accuracy

Total -5.1b remaining (-17%)

Threshold costs -5.1b (-17%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

6 calls:

2.0ms	(+.f64 x (/.f64 (*.f64 y y) z))
1.0ms	x
1.0ms	z
1.0ms	y
1.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
52.9%	1	`x`
52.9%	1	`y`
52.9%	1	`z`
52.9%	1	`(+.f64 x (/.f64 (*.f64 y y) z))`
52.9%	1	`(/.f64 (*.f64 y y) z)`
52.9%	1	`(*.f64 y y)`

Compiler

Compiled 36 to 24 computations (33.3% saved)

simplify6.0ms (0.1%)

Memory

10.8MiB live, 10.8MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	26
1	15	26

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness525.0ms (9.8%)

Memory

-17.0MiB live, 303.1MiB allocated

Rules

9 646×	`lower-fma.f32`
9 640×	`lower-fma.f64`
4 644×	`lower-*.f32`
4 640×	`lower-*.f64`
4 568×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	75
0	38	68
1	153	67
2	948	67
0	9230	67
0	6	15
0	9	15
1	35	15
2	269	15
3	4534	15
0	8159	14
0	23	376
1	58	376
2	150	376
3	489	376
4	2218	376
5	4057	376
6	6054	376
7	7774	376
0	8059	349

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
1×	iter limit

Compiler

Compiled 72 to 36 computations (50% saved)

preprocess30.0ms (0.6%)

Memory: 26.2MiB live, 65.3MiB allocated
Remove: (abs y)
Compiler: Compiled 124 to 66 computations (46.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze129.0ms (2.4%)

sample894.0ms (16.7%)

explain289.0ms (5.4%)

preprocess63.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize21.0ms (0.4%)

series5.0ms (0.1%)

simplify174.0ms (3.3%)

rewrite261.0ms (4.9%)

eval23.0ms (0.4%)

prune29.0ms (0.5%)

simplify53.0ms (1%)

localize85.0ms (1.6%)

series17.0ms (0.3%)

simplify239.0ms (4.5%)

rewrite834.0ms (15.6%)

eval170.0ms (3.2%)

prune216.0ms (4%)

simplify7.0ms (0.1%)

localize50.0ms (0.9%)

series10.0ms (0.2%)

simplify209.0ms (3.9%)

rewrite246.0ms (4.6%)

eval104.0ms (1.9%)

prune62.0ms (1.2%)

simplify52.0ms (1%)

localize24.0ms (0.5%)

series3.0ms (0.1%)

simplify190.0ms (3.5%)

rewrite226.0ms (4.2%)

eval20.0ms (0.4%)

prune21.0ms (0.4%)

regimes27.0ms (0.5%)

regimes20.0ms (0.4%)

regimes10.0ms (0.2%)

simplify6.0ms (0.1%)

soundness525.0ms (9.8%)

preprocess30.0ms (0.6%)

end0.0ms (0%)

Profiling