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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze51.0ms (1.1%)

Memory

29.3MiB live, 67.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.1s (23.9%)

Memory

-20.7MiB live, 585.4MiB allocated

Samples

616.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 324.0ms

ival-div: 155.0ms (47.8% of total)

ival-mult: 96.0ms (29.6% of total)

ival-add: 64.0ms (19.8% of total)

ival-true: 6.0ms (1.9% of total)

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

Bogosity

explain111.0ms (2.4%)

Memory

18.5MiB live, 91.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
26	-	3	(5.419621095744182e+149 5.731987815861089e-162 5.162980503704191e-277)	`(/.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	10	0
↳	`(*.f64 y y)`	overflow	54
`/.f64`	`(/.f64 (*.f64 y y) z)`	u/n	6	0
↳	`(*.f64 y y)`	underflow	75

Confusion

	Predicted +	Predicted -
+	14	2
-	2	238

Precision

0.875

Recall

0.875

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	14	0	2
-	2	0	238

Precision?

0.875

Recall?

0.875

Freqs

test

number	freq
0	240
1	16

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

24.0ms

512×

valid

Compiler

Compiled 50 to 22 computations (56% saved)

Precisions

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

ival-div: 4.0ms (38.5% of total)

ival-mult: 4.0ms (38.5% of total)

ival-add: 2.0ms (19.2% of total)

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

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

preprocess65.0ms (1.4%)

Memory

-20.5MiB live, 28.6MiB 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 (/.f64 y z) y 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

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.6%	(+.f64 x (/.f64 (*.f64 y y) z))

Compiler

Compiled 10 to 6 computations (40% saved)

simplify4.0ms (0.1%)

Memory

5.0MiB live, 5.0MiB 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 (/.f64 y z) y x)
x
(/.f64 (*.f64 y y) z)
(*.f64 y y)
y
z

localize60.0ms (1.3%)

Memory

-13.6MiB live, 25.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y y)
accuracy	0.00390625	(+.f64 x (/.f64 (*.f64 y y) z))
accuracy	5.356982925993471	(/.f64 (*.f64 y y) z)

Samples

11.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-div: 2.0ms (41.6% of total)

ival-mult: 2.0ms (41.6% of total)

ival-add: 1.0ms (20.8% of total)

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

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

series7.0ms (0.1%)

Memory

18.0MiB live, 18.0MiB 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 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 (/ (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 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 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 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 -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 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 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) (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) 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 (.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) (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) 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 (.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) (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) 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>) () ())) ())

Calls

9 calls:

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

simplify256.0ms (5.5%)

Memory

-3.5MiB live, 113.8MiB 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	2250	376
5	4093	376
6	6089	376
7	7810	376
0	8095	349

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 67

Calls

Call 1

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

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

rewrite346.0ms (7.5%)

Memory

3.0MiB live, 197.9MiB 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 (/.f64 (fma.f64 (.f64 x x) x (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)) (.f64 (.f64 z z) z))) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 z z)) (.f64 (-.f64 (/.f64 (.f64 y y) z) x) (-.f64 (/.f64 (.f64 y y) z) x))))) (-.f64 (.f64 x x) (.f64 (-.f64 (/.f64 (.f64 y y) z) x) (/.f64 (.f64 y y) z))))
(.f64 (/.f64 (fma.f64 (.f64 x x) x (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)) (.f64 (.f64 z z) z))) (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) x)) x (.f64 (.f64 (.f64 (-.f64 (/.f64 (.f64 y y) z) x) (-.f64 (/.f64 (.f64 y y) z) x)) (-.f64 (/.f64 (.f64 y y) z) x)) (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)) (.f64 (.f64 z z) z))))) (fma.f64 (.f64 (-.f64 (/.f64 (.f64 y y) z) x) (/.f64 (.f64 y y) z)) (-.f64 (.f64 (-.f64 (/.f64 (.f64 y y) z) x) (/.f64 (.f64 y y) z)) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))))
(.f64 (/.f64 (-.f64 (.f64 x x) (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 z z))) (-.f64 (.f64 x x) (/.f64 (.f64 (.f64 (.f64 y y) y) y) (*.f64 z z)))) (fma.f64 (/.f64 y z) y x))
(.f64 (/.f64 (-.f64 (.f64 x x) (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 z z))) (fma.f64 (.f64 x x) x (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)) (.f64 (.f64 z z) z)))) (fma.f64 (/.f64 (.f64 y y) z) (fma.f64 (/.f64 y z) y x) (.f64 x x)))
(.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 z z)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 y y) z) x)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (.f64 y y) z))) (-.f64 (.f64 x x) (/.f64 (.f64 (.f64 (.f64 y y) y) y) (*.f64 z z))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (/.f64 (.f64 y y) z) x) (/.f64 (.f64 y y) z) (.f64 x x))) (fma.f64 (.f64 x x) x (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)) (.f64 (.f64 z z) z))))
(.f64 (neg.f64 (-.f64 (.f64 x x) (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 z z)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (/.f64 (*.f64 y y) z)))))
(.f64 (neg.f64 (fma.f64 (.f64 x x) x (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)) (.f64 (.f64 z z) z)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 (/.f64 (.f64 y y) z) x) (/.f64 (.f64 y y) z) (.f64 x x)))))
(.f64 (-.f64 (.f64 x x) (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (*.f64 y y) z))))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) y x))
(.f64 (fma.f64 (-.f64 (/.f64 (.f64 y y) z) x) (/.f64 (.f64 y y) z) (.f64 x x)) (/.f64 (fma.f64 (/.f64 y z) y x) (fma.f64 (-.f64 (/.f64 (.f64 y y) z) x) (/.f64 (.f64 y y) z) (*.f64 x x))))
(.f64 (fma.f64 (-.f64 (/.f64 (.f64 y y) z) x) (/.f64 (.f64 y y) z) (.f64 x x)) (.f64 (fma.f64 (/.f64 y z) y x) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (/.f64 (.f64 y y) z) x) (/.f64 (.f64 y y) z) (.f64 x x)))))
(.f64 (fma.f64 (.f64 x x) x (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)) (.f64 (.f64 z z) z))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (/.f64 (.f64 y y) z) x) (/.f64 (.f64 y y) z) (.f64 x x))))
(.f64 (fma.f64 (/.f64 y z) y x) (/.f64 (-.f64 x (/.f64 (.f64 y y) z)) (-.f64 x (/.f64 (*.f64 y y) z))))
(.f64 (fma.f64 (/.f64 y z) y x) (.f64 (-.f64 x (/.f64 (.f64 y y) z)) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (.f64 y y) z)))))
(pow.f64 (/.f64 (-.f64 (/.f64 (.f64 y y) z) x) (-.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 z z)) (.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) y x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) y x)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (.f64 (.f64 y y) y) y)) (.f64 (.f64 z z) (.f64 z z)))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (.f64 y y) z)))) (fma.f64 x x (/.f64 (.f64 (.f64 (.f64 y y) y) y) (*.f64 z z))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) x)) x (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)) (.f64 (.f64 y y) y)) (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z))) (.f64 (.f64 y y) y))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (.f64 y y) z)))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 z z)) (fma.f64 x x (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 z z))) (.f64 (.f64 x x) (*.f64 x x))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) x)) x (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)) (.f64 (.f64 y y) y)) (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z))) (.f64 (.f64 y y) y))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (/.f64 (.f64 y y) z) x) (/.f64 (.f64 y y) z) (.f64 x x)))) (fma.f64 (.f64 x x) x (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)) (.f64 (.f64 z z) z))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) (pow.f64 (/.f64 z (.f64 y y)) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (/.f64 (.f64 y y) z) x) (/.f64 (.f64 y y) z) (.f64 x x)))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)) (.f64 (.f64 z z) z)) (-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)) (.f64 (.f64 z z) z)) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 x x) x))))
(/.f64 (.f64 (fma.f64 (.f64 x x) x (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)) (.f64 (.f64 z z) z))) #s(literal 1 binary64)) (fma.f64 (-.f64 (/.f64 (.f64 y y) z) x) (/.f64 (.f64 y y) z) (.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 x (/.f64 x (-.f64 x (/.f64 (.f64 y y) z)))) (.f64 x (/.f64 x (-.f64 x (/.f64 (.f64 y y) z))))) (.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (-.f64 x (/.f64 (.f64 y y) z)) (.f64 z z))) (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (-.f64 x (/.f64 (.f64 y y) z)) (.f64 z z))))) (fma.f64 x (/.f64 x (-.f64 x (/.f64 (.f64 y y) z))) (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (-.f64 x (/.f64 (.f64 y y) z)) (*.f64 z z)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x (/.f64 x (-.f64 x (/.f64 (.f64 y y) z)))) (.f64 x (/.f64 x (-.f64 x (/.f64 (.f64 y y) z))))) (.f64 x (/.f64 x (-.f64 x (/.f64 (.f64 y y) z))))) (pow.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (-.f64 x (/.f64 (.f64 y y) z)) (.f64 z z))) #s(literal 3 binary64))) (fma.f64 (.f64 x (/.f64 x (-.f64 x (/.f64 (.f64 y y) z)))) (.f64 x (/.f64 x (-.f64 x (/.f64 (.f64 y y) z)))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (-.f64 x (/.f64 (.f64 y y) z)) (.f64 z z))) (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (-.f64 x (/.f64 (.f64 y y) z)) (.f64 z z))) (.f64 (.f64 x (/.f64 x (-.f64 x (/.f64 (.f64 y y) z)))) (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (-.f64 x (/.f64 (.f64 y y) z)) (*.f64 z z)))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 z z)) (.f64 x x))) (neg.f64 (-.f64 (/.f64 (.f64 y y) z) x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 x x) (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 z z))))) (neg.f64 (neg.f64 (-.f64 x (/.f64 (.f64 y y) z)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x x) x (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)) (.f64 (.f64 z z) z))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 (/.f64 (.f64 y y) z) x) (/.f64 (.f64 y y) z) (*.f64 x x)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (.f64 (.f64 y y) y) y)) (.f64 (.f64 z z) (.f64 z z)))) #s(literal 1 binary64)) (.f64 (fma.f64 x x (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 z z))) (-.f64 x (/.f64 (.f64 y y) z))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) x)) x (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)) (.f64 (.f64 y y) y)) (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z))) (.f64 (.f64 y y) y))) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 z z)) (fma.f64 x x (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 z z))) (.f64 (.f64 x x) (.f64 x x))) (-.f64 x (/.f64 (.f64 y y) z))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) x)) x (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)) (.f64 (.f64 y y) y)) (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z))) (.f64 (.f64 y y) y))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) x (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)) (.f64 (.f64 z z) z))) (fma.f64 (-.f64 (/.f64 (.f64 y y) z) x) (/.f64 (.f64 y y) z) (*.f64 x x))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) (pow.f64 (/.f64 z (.f64 y y)) #s(literal -9 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)) (.f64 (.f64 z z) z)) (-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)) (.f64 (.f64 z z) z)) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (fma.f64 (-.f64 (/.f64 (.f64 y y) z) x) (/.f64 (.f64 y y) z) (.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x (/.f64 (.f64 y y) z))) (.f64 (-.f64 x (/.f64 (.f64 y y) z)) (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 z z)))) (.f64 (-.f64 x (/.f64 (.f64 y y) z)) (-.f64 x (/.f64 (.f64 y y) z))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (.f64 (.f64 y y) y) y)) (.f64 (.f64 z z) (.f64 z z)))) (.f64 (-.f64 x (/.f64 (.f64 y y) z)) (fma.f64 x x (/.f64 (.f64 (.f64 (.f64 y y) y) y) (*.f64 z z)))))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 z z)) (.f64 x x)) (-.f64 (/.f64 (.f64 y y) z) x))
(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) x)) x (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)) (.f64 (.f64 y y) y)) (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z))) (.f64 (.f64 y y) y))) (.f64 (-.f64 x (/.f64 (.f64 y y) z)) (fma.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 z z)) (fma.f64 x x (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 z z))) (.f64 (.f64 x x) (*.f64 x x)))))
(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) x)) x (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)) (.f64 (.f64 y y) y)) (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z))) (.f64 (.f64 y y) y))) (.f64 (fma.f64 (-.f64 (/.f64 (.f64 y y) z) x) (/.f64 (.f64 y y) z) (.f64 x x)) (fma.f64 (.f64 x x) x (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)) (.f64 (.f64 z z) z)))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) (pow.f64 (/.f64 z (.f64 y y)) #s(literal -9 binary64))) (.f64 (fma.f64 (-.f64 (/.f64 (.f64 y y) z) x) (/.f64 (.f64 y y) z) (.f64 x x)) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)) (.f64 (.f64 z z) z)) (-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)) (.f64 (.f64 z z) z)) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 x x) x)))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 z z)))) (neg.f64 (-.f64 x (/.f64 (.f64 y y) z))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) x (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)) (.f64 (.f64 z z) z)))) (neg.f64 (fma.f64 (-.f64 (/.f64 (.f64 y y) z) x) (/.f64 (.f64 y y) z) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) y x))))
(/.f64 (-.f64 (.f64 x x) (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 z z))) (-.f64 x (/.f64 (.f64 y y) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (.f64 y y) z) x) (-.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 z z)) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) y x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) y x)))
(/.f64 (fma.f64 (.f64 x x) x (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)) (.f64 (.f64 z z) z))) (fma.f64 (-.f64 (/.f64 (.f64 y y) z) x) (/.f64 (.f64 y y) z) (*.f64 x x)))
(neg.f64 (/.f64 (neg.f64 (-.f64 (.f64 x x) (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 z z)))) (-.f64 x (/.f64 (.f64 y y) z))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 x x) x (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)) (.f64 (.f64 z z) z)))) (fma.f64 (-.f64 (/.f64 (.f64 y y) z) x) (/.f64 (.f64 y y) z) (*.f64 x x))))
(neg.f64 (/.f64 (-.f64 (.f64 x x) (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 z z))) (neg.f64 (-.f64 x (/.f64 (.f64 y y) z)))))
(neg.f64 (/.f64 (fma.f64 (.f64 x x) x (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)) (.f64 (.f64 z z) z))) (neg.f64 (fma.f64 (-.f64 (/.f64 (.f64 y y) z) x) (/.f64 (.f64 y y) z) (*.f64 x x)))))
(fma.f64 (exp.f64 (log.f64 (*.f64 (neg.f64 y) y))) (exp.f64 (neg.f64 (log.f64 (neg.f64 z)))) x)
(fma.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 x x) x (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)) (.f64 (.f64 z z) z)))) (fma.f64 (/.f64 (.f64 y y) z) (fma.f64 (/.f64 y z) y x) (.f64 x x)) (neg.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (-.f64 x (/.f64 (.f64 y y) z)) (*.f64 z z)))))
(fma.f64 (/.f64 (.f64 x x) (-.f64 (.f64 x x) (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 z z)))) (fma.f64 (/.f64 y z) y x) (neg.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (-.f64 x (/.f64 (.f64 y y) z)) (.f64 z z)))))
(fma.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)) x)
(fma.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 y z) x)
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 y) z) x)
(fma.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 y z) x)
(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y) x)
(fma.f64 (neg.f64 y) (*.f64 y (/.f64 #s(literal -1 binary64) z)) x)
(fma.f64 (neg.f64 y) (/.f64 y (neg.f64 z)) x)
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (/.f64 y z)) x)
(fma.f64 (/.f64 y z) (*.f64 y #s(literal 1 binary64)) x)
(fma.f64 (/.f64 y z) y x)
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y) x)
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) z) x)
(fma.f64 #s(literal 1 binary64) x (/.f64 (*.f64 y y) z))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (.f64 y y) z))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (-.f64 x (/.f64 (.f64 y y) z)) (.f64 z z)))))
(fma.f64 (.f64 (neg.f64 y) y) (.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 (neg.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 y) (/.f64 #s(literal 1 binary64) z) x)
(fma.f64 y (*.f64 (/.f64 y z) #s(literal 1 binary64)) x)
(fma.f64 y (/.f64 y z) x)
(fma.f64 x (/.f64 x (-.f64 x (/.f64 (.f64 y y) z))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (-.f64 x (/.f64 (.f64 y y) z)) (*.f64 z z)))))
(fma.f64 x #s(literal 1 binary64) (/.f64 (*.f64 y y) z))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 y y) 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 x (/.f64 x (-.f64 x (/.f64 (.f64 y y) z)))) (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (-.f64 x (/.f64 (.f64 y y) z)) (.f64 z z))))
(-.f64 x (*.f64 (neg.f64 y) (/.f64 y z)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) y x))) #s(literal -1 binary64)))
(+.f64 (.f64 x (/.f64 x (-.f64 x (/.f64 (.f64 y y) z)))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (-.f64 x (/.f64 (.f64 y y) z)) (.f64 z z)))))
(+.f64 (/.f64 (*.f64 y y) z) x)
(+.f64 x (/.f64 (*.f64 y y) z))
(.f64 (exp.f64 (log.f64 (.f64 (neg.f64 y) y))) (exp.f64 (neg.f64 (log.f64 (neg.f64 z)))))
(.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 (neg.f64 y) #s(literal -1 binary64)) (/.f64 y z))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 y) z))
(.f64 (.f64 #s(literal 1 binary64) y) (/.f64 y z))
(.f64 (/.f64 #s(literal -1 binary64) z) (.f64 (neg.f64 y) y))
(.f64 (neg.f64 y) (.f64 y (/.f64 #s(literal -1 binary64) z)))
(*.f64 (neg.f64 y) (/.f64 y (neg.f64 z)))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) (/.f64 y z)))
(.f64 (/.f64 y z) (.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 y z) y)
(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y y))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) z))
(.f64 (.f64 (neg.f64 y) y) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)))
(.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) z))
(.f64 (/.f64 (.f64 y y) z) #s(literal 1 binary64))
(.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) z))
(.f64 y (.f64 (/.f64 y z) #s(literal 1 binary64)))
(*.f64 y (/.f64 y z))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 z (*.f64 y y))))
(pow.f64 (pow.f64 (/.f64 z (*.f64 y y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (.f64 z z) (.f64 (.f64 (.f64 y y) y) y)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 z (*.f64 y y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 y y) z) #s(literal 1 binary64))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (/.f64 (neg.f64 z) (*.f64 y y)))))
(/.f64 (exp.f64 (log.f64 (*.f64 (neg.f64 y) y))) (exp.f64 (log.f64 (neg.f64 z))))
(/.f64 (/.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)) z)
(/.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 z y))
(/.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 z y))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.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 y)))
(/.f64 (*.f64 (neg.f64 y) y) (neg.f64 z))
(/.f64 (*.f64 y y) z)
(/.f64 y (/.f64 z y))
(neg.f64 (.f64 (.f64 (neg.f64 y) (/.f64 y z)) #s(literal 1 binary64)))
(neg.f64 (*.f64 (neg.f64 y) (/.f64 y z)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (neg.f64 y) (/.f64 y z)))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (/.f64 y z)))
(exp.f64 (-.f64 (neg.f64 (log.f64 z)) (neg.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 y y) z)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (/.f64 (*.f64 y y) z)))
(*.f64 (neg.f64 (neg.f64 y)) y)
(.f64 (.f64 #s(literal 1 binary64) y) y)
(*.f64 (neg.f64 y) (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) y))
(.f64 #s(literal 1 binary64) (.f64 y y))
(.f64 (.f64 y y) #s(literal 1 binary64))
(*.f64 y (neg.f64 (neg.f64 y)))
(.f64 y (.f64 y #s(literal 1 binary64)))
(*.f64 y y)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(neg.f64 (*.f64 (neg.f64 y) y))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y))
(exp.f64 (neg.f64 (neg.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))))
(exp.f64 (.f64 (neg.f64 (.f64 (log.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 y y))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))

eval24.0ms (0.5%)

Memory: -4.0MiB live, 71.5MiB allocated
Compiler: Compiled 4 076 to 410 computations (89.9% saved)

prune56.0ms (1.2%)

Memory

8.8MiB live, 101.2MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	207	7	214
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	208	7	215

Accuracy

100.0%

Counts

215 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (/.f64 y z) y x)
▶	94.5%	(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y) x)
▶	99.9%	(fma.f64 (neg.f64 y) (*.f64 y (/.f64 #s(literal -1 binary64) z)) x)
	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) y x)))
▶	99.9%	(+.f64 x (/.f64 y (/.f64 z y)))
	94.5%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y y))))
▶	42.4%	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))

Compiler

Compiled 152 to 94 computations (38.2% saved)

simplify47.0ms (1%)

Memory

-5.9MiB live, 33.4MiB 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 (/.f64 y z) y 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)
(/.f64 y z)
y
z
x
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y) x)
(fma.f64 (/.f64 y z) 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)
(fma.f64 (/.f64 y z) y x)
(neg.f64 y)
y
(*.f64 y (/.f64 #s(literal -1 binary64) z))
(/.f64 (neg.f64 y) z)
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
z
x

localize78.0ms (1.7%)

Memory

17.2MiB live, 136.7MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal -1 binary64) z)
accuracy	0	(neg.f64 y)
accuracy	0.08203125	(fma.f64 (neg.f64 y) (*.f64 y (/.f64 #s(literal -1 binary64) z)) x)
accuracy	0.22265625	(*.f64 y (/.f64 #s(literal -1 binary64) z))
accuracy	0	(/.f64 #s(literal 1 binary64) z)
accuracy	0	(*.f64 y y)
accuracy	3.5007397725582496	(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y) x)
accuracy	0	(/.f64 y z)
accuracy	0.08203125	(fma.f64 (/.f64 y z) y x)
accuracy	0	(*.f64 y y)
accuracy	5.356982925993471	(/.f64 (*.f64 y y) z)
accuracy	33.86891538419834	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
accuracy	0	(/.f64 z y)
accuracy	0.00390625	(+.f64 x (/.f64 y (/.f64 z y)))
accuracy	0.1015625	(/.f64 y (/.f64 z y))

Samples

63.0ms

256×

valid

Compiler

Compiled 93 to 24 computations (74.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-div: 10.0ms (35.5% of total)

ival-add: 9.0ms (31.9% of total)

ival-mult: 7.0ms (24.8% of total)

ival-neg: 1.0ms (3.5% of total)

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

exact: 0.0ms (0% of total)

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

series55.0ms (1.2%)

Memory

-24.5MiB live, 52.5MiB 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 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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
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#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 (/ 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>) () ())) ())
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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>) () ())) ())
#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 (/ (pow y 2) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 y z) y x) (patch (fma.f64 (/.f64 y z) y x) #<representation binary64>) () ())) ())
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#s(alt (/ (+ (* x z) (pow y 2)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 y z) y x) (patch (fma.f64 (/.f64 y z) y x) #<representation binary64>) () ())) ())
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#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) z) (taylor 0 z) (#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 (/ (+ (* x z) (pow y 2)) z) (taylor 0 z) (#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 (/ (+ (* x z) (pow y 2)) z) (taylor 0 z) (#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 (/ (+ (* x z) (pow y 2)) z) (taylor 0 z) (#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>) () ())) ())
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#s(alt (/ (+ (* x z) (pow y 2)) z) (taylor 0 z) (#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>) () ())) ())
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#s(alt (/ (+ (* x z) (pow y 2)) z) (taylor 0 z) (#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 (* -1 (/ y z)) (taylor 0 z) (#s(alt (.f64 y (/.f64 #s(literal -1 binary64) z)) (patch (.f64 y (/.f64 #s(literal -1 binary64) z)) #<representation binary64>) () ())) ())
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#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 x (taylor inf z) (#s(alt (+.f64 x (/.f64 y (/.f64 z y))) (patch (+.f64 x (/.f64 y (/.f64 z y))) #<representation binary64>) () ())) ())
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#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 x (taylor inf 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 (/ (pow y 2) z)) (taylor inf 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 (/ (pow y 2) z)) (taylor inf 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 (/ (pow y 2) z)) (taylor inf 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 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 -inf 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 (/ (pow y 2) z)) (taylor -inf 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 (* 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 -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 -inf x) (#s(alt (fma.f64 (/.f64 y z) y x) (patch (fma.f64 (/.f64 y z) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 y z) y x) (patch (fma.f64 (/.f64 y z) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 y z) y x) (patch (fma.f64 (/.f64 y z) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 y z) y x) (patch (fma.f64 (/.f64 y z) y x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) (taylor -inf x) (#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 x (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) (taylor -inf x) (#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>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
37.0ms	z	@	0	((/ y (/ z y)) (+ x (/ y (/ z y))) (/ z y) (+ x (/ (* y y) z)) (/ (* y y) z) (* y y) (+ (* (/ y z) y) x) (/ y z) (+ (* (/ 1 z) (* y y)) x) (/ 1 z) (+ (* (neg y) (* y (/ -1 z))) x) (* y (/ -1 z)) (neg y) (/ -1 z))
2.0ms	y	@	-inf	((/ y (/ z y)) (+ x (/ y (/ z y))) (/ z y) (+ x (/ (* y y) z)) (/ (* y y) z) (* y y) (+ (* (/ y z) y) x) (/ y z) (+ (* (/ 1 z) (* y y)) x) (/ 1 z) (+ (* (neg y) (* y (/ -1 z))) x) (* y (/ -1 z)) (neg y) (/ -1 z))
2.0ms	y	@	inf	((/ y (/ z y)) (+ x (/ y (/ z y))) (/ z y) (+ x (/ (* y y) z)) (/ (* y y) z) (* y y) (+ (* (/ y z) y) x) (/ y z) (+ (* (/ 1 z) (* y y)) x) (/ 1 z) (+ (* (neg y) (* y (/ -1 z))) x) (* y (/ -1 z)) (neg y) (/ -1 z))
1.0ms	z	@	-inf	((/ y (/ z y)) (+ x (/ y (/ z y))) (/ z y) (+ x (/ (* y y) z)) (/ (* y y) z) (* y y) (+ (* (/ y z) y) x) (/ y z) (+ (* (/ 1 z) (* y y)) x) (/ 1 z) (+ (* (neg y) (* y (/ -1 z))) x) (* y (/ -1 z)) (neg y) (/ -1 z))
1.0ms	z	@	inf	((/ y (/ z y)) (+ x (/ y (/ z y))) (/ z y) (+ x (/ (* y y) z)) (/ (* y y) z) (* y y) (+ (* (/ y z) y) x) (/ y z) (+ (* (/ 1 z) (* y y)) x) (/ 1 z) (+ (* (neg y) (* y (/ -1 z))) x) (* y (/ -1 z)) (neg y) (/ -1 z))

simplify105.0ms (2.3%)

Memory

13.6MiB live, 166.6MiB allocated

Algorithm

1×	egg-herbie

Rules

4 568×	`lower-fma.f64`
4 568×	`lower-fma.f32`
3 216×	`lower-*.f64`
3 216×	`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	491	1712
4	2203	1712
5	4088	1712
6	6151	1712
0	8008	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)
(/ (+ (* x z) (pow y 2)) z)
(/ (+ (* x z) (pow y 2)) z)
(/ (+ (* x z) (pow y 2)) z)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ (pow y 2) z)
(/ (+ (* x z) (pow y 2)) z)
(/ (+ (* x z) (pow y 2)) z)
(/ (+ (* x 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 z) (pow y 2)) z)
(/ (+ (* x z) (pow y 2)) z)
(/ (+ (* x z) (pow y 2)) 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)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ (pow y 2) z)
(/ (+ (* x z) (pow y 2)) z)
(/ (+ (* x z) (pow y 2)) z)
(/ (+ (* x z) (pow y 2)) z)
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (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)
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)
x
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(/ y z)
(/ y z)
(/ y z)
(/ y 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)
x
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (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)
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)
x
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(/ y z)
(/ y z)
(/ y z)
(/ y 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)
x
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (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)
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)
(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))
(/ y z)
(/ y z)
(/ y z)
(/ y 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 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (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))))
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ (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) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(pow y 2)
(pow y 2)
(pow y 2)
(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))))
(/ y z)
(/ y z)
(/ y z)
(/ y 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))))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (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))))
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ (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) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(pow y 2)
(pow y 2)
(pow y 2)
(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))))
(/ y z)
(/ y z)
(/ y z)
(/ y 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))))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(/ (pow y 2) z)
(+ 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))
(/ (pow y 2) z)
(+ 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))
(/ (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
(* x (+ 1 (/ (pow y 2) (* x z))))
(* x (+ 1 (/ (pow y 2) (* x z))))
(* x (+ 1 (/ (pow y 2) (* x z))))
x
(* x (+ 1 (/ (pow y 2) (* x z))))
(* x (+ 1 (/ (pow y 2) (* x z))))
(* x (+ 1 (/ (pow y 2) (* x z))))
x
(* x (+ 1 (/ (pow y 2) (* x z))))
(* x (+ 1 (/ (pow y 2) (* x z))))
(* x (+ 1 (/ (pow y 2) (* x 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
(* -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
(* -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
(* -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
(* -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)
(/ (+ (* x z) (pow y 2)) z)
(/.f64 (fma.f64 x z (*.f64 y y)) z)
(/ (+ (* x z) (pow y 2)) z)
(/.f64 (fma.f64 x z (*.f64 y y)) z)
(/ (+ (* x z) (pow y 2)) z)
(/.f64 (fma.f64 x z (*.f64 y y)) z)
(/ 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 z) (pow y 2)) z)
(/.f64 (fma.f64 x z (*.f64 y y)) z)
(/ (+ (* x z) (pow y 2)) z)
(/.f64 (fma.f64 x z (*.f64 y y)) z)
(/ (+ (* x z) (pow y 2)) z)
(/.f64 (fma.f64 x z (*.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 z) (pow y 2)) z)
(/.f64 (fma.f64 x z (*.f64 y y)) z)
(/ (+ (* x z) (pow y 2)) z)
(/.f64 (fma.f64 x z (*.f64 y y)) z)
(/ (+ (* x z) (pow y 2)) z)
(/.f64 (fma.f64 x z (*.f64 y 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 x z (*.f64 y y)) z)
(/ (+ (* x z) (pow y 2)) z)
(/.f64 (fma.f64 x z (*.f64 y y)) z)
(/ (+ (* x z) (pow y 2)) z)
(/.f64 (fma.f64 x z (*.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)
(/ (pow y 2) z)
(/.f64 (*.f64 y y) z)
(/ (+ (* x z) (pow y 2)) z)
(/.f64 (fma.f64 x z (*.f64 y y)) z)
(/ (+ (* x z) (pow y 2)) z)
(/.f64 (fma.f64 x z (*.f64 y y)) z)
(/ (+ (* x z) (pow y 2)) z)
(/.f64 (fma.f64 x z (*.f64 y 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 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) 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
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
x
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y 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)
x
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
x
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y 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)
x
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y 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 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) 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
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
x
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y 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)
x
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
x
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y 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)
x
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y 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 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) 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
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
x
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y 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)
(*.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 (/.f64 y z) y x)
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
x
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
x
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y 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)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(/ (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) (+ (/ 1 z) (/ x (pow y 2))))
(fma.f64 (/.f64 y z) y x)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(fma.f64 (/.f64 y z) y x)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(fma.f64 (/.f64 y z) y x)
(/ 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)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(fma.f64 (/.f64 y z) y x)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(fma.f64 (/.f64 y z) y x)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(fma.f64 (/.f64 y z) y 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)
(*.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)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(fma.f64 (/.f64 y z) y x)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(fma.f64 (/.f64 y z) y x)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(fma.f64 (/.f64 y z) y x)
(/ 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) (+ (/ 1 z) (/ x (pow y 2))))
(fma.f64 (/.f64 y z) y x)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(fma.f64 (/.f64 y z) y x)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(fma.f64 (/.f64 y z) y x)
(/ (pow y 2) z)
(/.f64 (*.f64 y y) z)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(fma.f64 (/.f64 y z) y x)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(fma.f64 (/.f64 y z) y x)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(fma.f64 (/.f64 y z) y 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)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(/ (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) (+ (/ 1 z) (/ x (pow y 2))))
(fma.f64 (/.f64 y z) y x)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(fma.f64 (/.f64 y z) y x)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(fma.f64 (/.f64 y z) y x)
(/ 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)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(fma.f64 (/.f64 y z) y x)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(fma.f64 (/.f64 y z) y x)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(fma.f64 (/.f64 y z) y 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)
(*.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)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(fma.f64 (/.f64 y z) y x)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(fma.f64 (/.f64 y z) y x)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(fma.f64 (/.f64 y z) y x)
(/ 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) (+ (/ 1 z) (/ x (pow y 2))))
(fma.f64 (/.f64 y z) y x)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(fma.f64 (/.f64 y z) y x)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(fma.f64 (/.f64 y z) y x)
(/ (pow y 2) z)
(/.f64 (*.f64 y y) z)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(fma.f64 (/.f64 y z) y x)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(fma.f64 (/.f64 y z) y x)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(fma.f64 (/.f64 y z) y 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)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(/ (pow y 2) z)
(/.f64 (*.f64 y y) z)
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
(/ (pow y 2) z)
(/.f64 (*.f64 y y) z)
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
(/ (pow y 2) z)
(/.f64 (*.f64 y y) z)
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
(/ (pow y 2) z)
(/.f64 (*.f64 y y) z)
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
(/ (pow y 2) z)
(/.f64 (*.f64 y y) z)
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
x
(* x (+ 1 (/ (pow y 2) (* x z))))
(fma.f64 (/.f64 y z) y x)
(* x (+ 1 (/ (pow y 2) (* x z))))
(fma.f64 (/.f64 y z) y x)
(* x (+ 1 (/ (pow y 2) (* x z))))
(fma.f64 (/.f64 y z) y x)
x
(* x (+ 1 (/ (pow y 2) (* x z))))
(fma.f64 (/.f64 y z) y x)
(* x (+ 1 (/ (pow y 2) (* x z))))
(fma.f64 (/.f64 y z) y x)
(* x (+ 1 (/ (pow y 2) (* x z))))
(fma.f64 (/.f64 y z) y x)
x
(* x (+ 1 (/ (pow y 2) (* x z))))
(fma.f64 (/.f64 y z) y x)
(* x (+ 1 (/ (pow y 2) (* x z))))
(fma.f64 (/.f64 y z) y x)
(* x (+ 1 (/ (pow y 2) (* x z))))
(fma.f64 (/.f64 y z) y x)
x
(* x (+ 1 (/ (pow y 2) (* x z))))
(fma.f64 (/.f64 y z) y x)
(* x (+ 1 (/ (pow y 2) (* x z))))
(fma.f64 (/.f64 y z) y x)
(* x (+ 1 (/ (pow y 2) (* x z))))
(fma.f64 (/.f64 y z) y x)
x
(* x (+ 1 (/ (pow y 2) (* x z))))
(fma.f64 (/.f64 y z) y x)
(* x (+ 1 (/ (pow y 2) (* x z))))
(fma.f64 (/.f64 y z) y x)
(* x (+ 1 (/ (pow y 2) (* x z))))
(fma.f64 (/.f64 y z) y x)
x
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(fma.f64 (/.f64 y z) y x)
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(fma.f64 (/.f64 y z) y x)
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(fma.f64 (/.f64 y z) y x)
x
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(fma.f64 (/.f64 y z) y x)
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(fma.f64 (/.f64 y z) y x)
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(fma.f64 (/.f64 y z) y x)
x
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(fma.f64 (/.f64 y z) y x)
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(fma.f64 (/.f64 y z) y x)
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(fma.f64 (/.f64 y z) y x)
x
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(fma.f64 (/.f64 y z) y x)
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(fma.f64 (/.f64 y z) y x)
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(fma.f64 (/.f64 y z) y x)
x
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(fma.f64 (/.f64 y z) y x)
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(fma.f64 (/.f64 y z) y x)
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(fma.f64 (/.f64 y z) y x)

rewrite194.0ms (4.2%)

Memory

12.5MiB live, 296.2MiB 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 (.f64 (*.f64 y y) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 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 (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 (.f64 (neg.f64 y) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 y (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (neg.f64 y) z))
(.f64 (/.f64 (.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 y) z))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) (/.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (/.f64 y (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 (neg.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 (/.f64 (neg.f64 y) z) y) #s(literal -1 binary64))
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(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 z z)) (.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (/.f64 (.f64 y y) z) x))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 z z)))) (neg.f64 (neg.f64 (-.f64 x (/.f64 (*.f64 y y) z)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x x) x (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)) (.f64 (.f64 z z) z))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (/.f64 (.f64 y y) z)) (/.f64 (.f64 (.f64 (.f64 y y) y) y) (*.f64 z z))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x x) x (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)) (.f64 (.f64 z z) z))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 y z) (.f64 y (-.f64 (/.f64 (.f64 y y) z) x)) (*.f64 x x)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 y y) 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 (-.f64 (.f64 (.f64 x x) (-.f64 x (/.f64 (.f64 y y) z))) (.f64 (-.f64 x (/.f64 (.f64 y y) z)) (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 z z)))) (.f64 (-.f64 x (/.f64 (.f64 y y) z)) (-.f64 x (/.f64 (.f64 y y) z))))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 z z)) (.f64 x x))) (neg.f64 (-.f64 (/.f64 (.f64 y y) z) x)))
(/.f64 (fma.f64 (neg.f64 x) x (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 z z))) (neg.f64 (-.f64 x (/.f64 (*.f64 y y) z))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) x (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)) (.f64 (.f64 z z) z)))) (neg.f64 (fma.f64 x (-.f64 x (/.f64 (.f64 y y) z)) (/.f64 (.f64 (.f64 (.f64 y y) y) y) (*.f64 z z)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) x (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)) (.f64 (.f64 z z) z)))) (neg.f64 (fma.f64 (/.f64 y z) (.f64 y (-.f64 (/.f64 (.f64 y y) z) x)) (*.f64 x x))))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 z z)) (.f64 x x)) (-.f64 (/.f64 (.f64 y y) z) x))
(/.f64 (-.f64 (.f64 x x) (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 z z))) (-.f64 x (/.f64 (.f64 y y) z)))
(/.f64 (fma.f64 (.f64 x x) x (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)) (.f64 (.f64 z z) z))) (fma.f64 x (-.f64 x (/.f64 (.f64 y y) z)) (/.f64 (.f64 (.f64 (.f64 y y) y) y) (*.f64 z z))))
(/.f64 (fma.f64 (.f64 x x) x (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)) (.f64 (.f64 z z) z))) (fma.f64 (/.f64 y z) (.f64 y (-.f64 (/.f64 (.f64 y y) z) x)) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) y x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) y x)))
(neg.f64 (/.f64 (neg.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 z z)) (.f64 x x))) (-.f64 (/.f64 (.f64 y y) z) x)))
(neg.f64 (/.f64 (fma.f64 (neg.f64 x) x (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 z z))) (-.f64 x (/.f64 (*.f64 y y) z))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 x x) x (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)) (.f64 (.f64 z z) z)))) (fma.f64 x (-.f64 x (/.f64 (.f64 y y) z)) (/.f64 (.f64 (.f64 (.f64 y y) y) y) (*.f64 z z)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 x x) x (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)) (.f64 (.f64 z z) z)))) (fma.f64 (/.f64 y z) (.f64 y (-.f64 (/.f64 (.f64 y y) z) x)) (*.f64 x x))))
(neg.f64 (/.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 z z)) (.f64 x x)) (neg.f64 (-.f64 (/.f64 (.f64 y y) z) x))))
(neg.f64 (/.f64 (-.f64 (.f64 x x) (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 z z))) (neg.f64 (-.f64 x (/.f64 (.f64 y y) z)))))
(neg.f64 (/.f64 (fma.f64 (.f64 x x) x (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)) (.f64 (.f64 z z) z))) (neg.f64 (fma.f64 x (-.f64 x (/.f64 (.f64 y y) z)) (/.f64 (.f64 (.f64 (.f64 y y) y) y) (*.f64 z z))))))
(neg.f64 (/.f64 (fma.f64 (.f64 x x) x (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y)) (.f64 (.f64 z z) z))) (neg.f64 (fma.f64 (/.f64 y z) (.f64 y (-.f64 (/.f64 (.f64 y y) z) x)) (*.f64 x x)))))
(fma.f64 (.f64 (.f64 y y) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)) x)
(fma.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (.f64 (pow.f64 z #s(literal -1/2 binary64)) y) x)
(fma.f64 (.f64 y (pow.f64 z #s(literal -1/2 binary64))) (.f64 y (pow.f64 z #s(literal -1/2 binary64))) x)
(fma.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)) x)
(fma.f64 (/.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z) x)
(fma.f64 (/.f64 y (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) z) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (neg.f64 y) z) x)
(fma.f64 (/.f64 (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z) x)
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 y) z) x)
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) (/.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) z) x)
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (/.f64 y (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 (neg.f64 y) z) x)
(fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (.f64 (pow.f64 z #s(literal -1/2 binary64)) (.f64 y y)) x)
(fma.f64 (*.f64 (/.f64 (neg.f64 y) z) y) #s(literal -1 binary64) x)
(fma.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 y y) z) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (/.f64 (*.f64 y y) z) x))))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (.f64 y y) z))) (neg.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 z z)) (-.f64 x (/.f64 (*.f64 y y) z)))))
(fma.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) z) x)
(fma.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x)
(fma.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 (/.f64 (neg.f64 y) z) (/.f64 y #s(literal -1 binary64)) x)
(fma.f64 (/.f64 (neg.f64 y) z) (/.f64 (neg.f64 y) #s(literal 1 binary64)) x)
(fma.f64 (/.f64 (neg.f64 y) z) (neg.f64 y) x)
(fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y (/.f64 #s(literal -1 binary64) y)) x)
(fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y y) #s(literal -1 binary64)) x)
(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y) x)
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) z) y) x)
(fma.f64 (neg.f64 y) (/.f64 (neg.f64 y) z) x)
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y y) #s(literal 1 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal -1 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y) x)
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) z) x)
(fma.f64 #s(literal 1 binary64) x (/.f64 (*.f64 y y) z))
(fma.f64 (/.f64 y z) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) x)
(fma.f64 (/.f64 y z) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)
(fma.f64 (/.f64 y z) y x)
(fma.f64 (/.f64 (*.f64 y y) z) #s(literal 1 binary64) x)
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) z) x)
(fma.f64 x #s(literal 1 binary64) (/.f64 (*.f64 y y) z))
(fma.f64 y (/.f64 y z) x)
(-.f64 (+.f64 x #s(literal 0 binary64)) (*.f64 (/.f64 (neg.f64 y) z) y))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 y y) 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 x x) (-.f64 x (/.f64 (.f64 y y) z))) (/.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 z z)) (-.f64 x (/.f64 (*.f64 y y) z))))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (/.f64 (neg.f64 y) z) y) x))
(-.f64 x (*.f64 (/.f64 (neg.f64 y) z) y))
(+.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 z z)) (-.f64 (/.f64 (.f64 y y) z) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (/.f64 (*.f64 y y) z) x))))
(+.f64 (/.f64 (.f64 x x) (-.f64 x (/.f64 (.f64 y y) z))) (neg.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 z z)) (-.f64 x (/.f64 (*.f64 y y) z)))))
(+.f64 (/.f64 (*.f64 y y) z) x)
(+.f64 x (/.f64 (*.f64 y y) z))
(.f64 (.f64 (neg.f64 y) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (neg.f64 y) z) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) z) y)
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 y))
(*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) z))
(*.f64 (/.f64 y z) #s(literal -1 binary64))
(*.f64 y (/.f64 #s(literal -1 binary64) z))
(pow.f64 (/.f64 z (neg.f64 y)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 z y))
(/.f64 (neg.f64 y) z)
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (neg.f64 y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 z (neg.f64 y)))
(/.f64 y (neg.f64 z))
(neg.f64 (/.f64 y z))
(-.f64 #s(literal 0 binary64) (/.f64 y z))
(.f64 (.f64 (*.f64 (neg.f64 y) y) y) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal -1 binary64) y)
(*.f64 (neg.f64 y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 y))
(*.f64 y #s(literal -1 binary64))
(/.f64 (.f64 (.f64 (neg.f64 y) y) y) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 y y) (.f64 #s(literal 0 binary64) (neg.f64 y)))))
(/.f64 (.f64 (.f64 (neg.f64 y) y) y) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (.f64 (.f64 y y) y) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (*.f64 (neg.f64 y) y) y)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (.f64 (.f64 (neg.f64 y) y) y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y)))
(/.f64 (*.f64 y y) (neg.f64 y))
(neg.f64 y)
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) y)
(-.f64 (/.f64 #s(literal 0 binary64) y) y)
(-.f64 #s(literal 0 binary64) y)
(+.f64 #s(literal 0 binary64) (neg.f64 y))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -1/2 binary64))) (pow.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 (pow.f64 (neg.f64 z) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 z) #s(literal -1/2 binary64)))
(.f64 (pow.f64 z #s(literal -1/2 binary64)) (.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (neg.f64 (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))
(pow.f64 (neg.f64 z) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) z)
(/.f64 #s(literal 1 binary64) (neg.f64 z))
(neg.f64 (/.f64 #s(literal 1 binary64) z))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) z))
(exp.f64 (*.f64 (log.f64 (neg.f64 z)) #s(literal -1 binary64)))

eval111.0ms (2.4%)

Memory: 3.2MiB live, 350.0MiB allocated
Compiler: Compiled 15 435 to 784 computations (94.9% saved)

prune107.0ms (2.3%)

Memory

6.8MiB live, 295.5MiB allocated

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	1 008	5	1 013
Fresh	1	1	2
Picked	3	2	5
Done	0	0	0
Total	1 012	8	1 020

Accuracy

100.0%

Counts

1 020 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 y z) y x)
	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) y x)))
▶	99.9%	(+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) y) z)))
✓	42.4%	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
▶	47.0%	#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
▶	42.4%	#s(approx (+ x (/ (* y y) z)) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y y))))
▶	47.0%	#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
▶	42.4%	#s(approx (+ x (/ (* y y) z)) (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y y)))

Compiler

Compiled 148 to 90 computations (39.2% saved)

simplify12.0ms (0.3%)

Memory

-10.1MiB live, 25.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y y)
cost-diff	0	(/.f64 z (*.f64 y y))
cost-diff	0	#s(approx (+ x (/ (* y y) z)) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y y))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y 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 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))
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 #s(literal 1 binary64) y)
cost-diff	128	(+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) y) z)))
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) y) z)
cost-diff	384	(/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) y) z))

Rules

88×	`times-frac`
68×	`lower-*.f32`
60×	`lower-*.f64`
56×	`lower-/.f32`
42×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	138
0	37	140
1	54	124
2	72	124
3	137	124
4	196	124
5	197	124
0	197	119

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize56.0ms (1.2%)

Memory

-4.1MiB live, 156.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y y)
accuracy	0.5955699026033339	(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y y)))
accuracy	5.344116442353414	(/.f64 z (*.f64 y y))
accuracy	33.86891538419834	#s(approx (+ x (/ (* y y) z)) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y y))))
accuracy	0	(/.f64 z y)
accuracy	0.1015625	(/.f64 y (/.f64 z y))
accuracy	33.86891538419834	#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
accuracy	0	(/.f64 #s(literal 1 binary64) z)
accuracy	0	(*.f64 y y)
accuracy	5.411670425993471	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y y))
accuracy	33.86891538419834	#s(approx (+ x (/ (* y y) z)) (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y y)))
accuracy	0	(/.f64 y z)
accuracy	0.171875	(*.f64 (/.f64 y z) y)
accuracy	33.86891538419834	#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
accuracy	0	(/.f64 #s(literal 1 binary64) y)
accuracy	0.00390625	(+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) y) z)))
accuracy	0.1015625	(/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) y) z))
accuracy	0.2265625	(*.f64 (/.f64 #s(literal 1 binary64) y) z)

Samples

44.0ms

256×

valid

Compiler

Compiled 112 to 21 computations (81.3% saved)

Precisions

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

ival-div: 16.0ms (66.4% of total)

ival-mult: 6.0ms (24.9% of total)

ival-add: 2.0ms (8.3% of total)

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

exact: 0.0ms (0% of total)

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

series21.0ms (0.5%)

Memory

16.4MiB live, 57.2MiB allocated

Counts

17 → 432

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	((/ y (* (/ 1 y) z)) (* (/ 1 y) z) (+ x (/ y (* (/ 1 y) z))) (/ 1 y) (+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) (* (/ 1 z) (* y y)) (+ x (/ (* y y) z)) (/ 1 z) (* y y) (/ y (/ z y)) (+ x (/ (* y y) z)) (/ z y) (/ 1 (/ z (* y y))) (+ x (/ (* y y) z)) (/ z (* y y)))
2.0ms	z	@	inf	((/ y (* (/ 1 y) z)) (* (/ 1 y) z) (+ x (/ y (* (/ 1 y) z))) (/ 1 y) (+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) (* (/ 1 z) (* y y)) (+ x (/ (* y y) z)) (/ 1 z) (* y y) (/ y (/ z y)) (+ x (/ (* y y) z)) (/ z y) (/ 1 (/ z (* y y))) (+ x (/ (* y y) z)) (/ z (* y y)))
1.0ms	z	@	-inf	((/ y (* (/ 1 y) z)) (* (/ 1 y) z) (+ x (/ y (* (/ 1 y) z))) (/ 1 y) (+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) (* (/ 1 z) (* y y)) (+ x (/ (* y y) z)) (/ 1 z) (* y y) (/ y (/ z y)) (+ x (/ (* y y) z)) (/ z y) (/ 1 (/ z (* y y))) (+ x (/ (* y y) z)) (/ z (* y y)))
1.0ms	z	@	0	((/ y (* (/ 1 y) z)) (* (/ 1 y) z) (+ x (/ y (* (/ 1 y) z))) (/ 1 y) (+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) (* (/ 1 z) (* y y)) (+ x (/ (* y y) z)) (/ 1 z) (* y y) (/ y (/ z y)) (+ x (/ (* y y) z)) (/ z y) (/ 1 (/ z (* y y))) (+ x (/ (* y y) z)) (/ z (* y y)))
1.0ms	y	@	-inf	((/ y (* (/ 1 y) z)) (* (/ 1 y) z) (+ x (/ y (* (/ 1 y) z))) (/ 1 y) (+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) (* (/ 1 z) (* y y)) (+ x (/ (* y y) z)) (/ 1 z) (* y y) (/ y (/ z y)) (+ x (/ (* y y) z)) (/ z y) (/ 1 (/ z (* y y))) (+ x (/ (* y y) z)) (/ z (* y y)))

simplify118.0ms (2.5%)

Memory

-1.8MiB live, 154.5MiB allocated

Algorithm

1×	egg-herbie

Rules

4 192×	`lower-fma.f64`
4 192×	`lower-fma.f32`
3 434×	`lower-*.f64`
3 434×	`lower-*.f32`
1 294×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	2144
1	62	2144
2	154	2144
3	495	2144
4	2223	2144
5	4079	2144
6	6138	2144
7	7796	2144
0	8066	2009

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 407

Calls

Call 1

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

rewrite252.0ms (5.4%)

Memory

-24.7MiB live, 148.9MiB allocated

Rules

5 536×	`lower-fma.f64`
5 536×	`lower-fma.f32`
4 092×	`lower-*.f32`
4 084×	`lower-*.f64`
2 616×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	121
0	37	107
1	123	107
2	779	107
0	8303	102

Stop Event

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

Counts

17 → 629

Calls

Call 1

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

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

eval136.0ms (2.9%)

Memory: 25.8MiB live, 176.8MiB allocated
Compiler: Compiled 12 208 to 955 computations (92.2% saved)

prune131.0ms (2.8%)

Memory

-22.6MiB live, 210.3MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	1 071	3	1 074
Fresh	1	0	1
Picked	2	3	5
Done	0	2	2
Total	1 074	8	1 082

Accuracy

100.0%

Counts

1 082 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 y z) y x)
✓	42.4%	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
✓	47.0%	#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
▶	47.0%	#s(approx (+ x (/ (* y y) z)) (/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) y) z)))
▶	47.0%	#s(approx (+ x (/ (* y y) z)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) y)))
✓	42.4%	#s(approx (+ x (/ (* y y) z)) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y y))))
✓	47.0%	#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
▶	46.9%	#s(approx (+ x (/ (* y y) z)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y))

Compiler

Compiled 80 to 48 computations (40% saved)

simplify8.0ms (0.2%)

Memory

12.6MiB live, 12.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

100×	`times-frac`
68×	`lower-*.f32`
62×	`lower-*.f64`
56×	`lower-/.f32`
44×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	99
0	28	97
1	46	83
2	64	83
3	124	83
4	184	83
5	185	83
0	185	80

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

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

localize79.0ms (1.7%)

Memory

2.8MiB live, 85.1MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 1 binary64) y)
accuracy	0.1015625	(/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) y) z))
accuracy	0.2265625	(*.f64 (/.f64 #s(literal 1 binary64) y) z)
accuracy	33.86891538419834	#s(approx (+ x (/ (* y y) z)) (/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) y) z)))
accuracy	0	(/.f64 z y)
accuracy	0.15625	(/.f64 (/.f64 z y) y)
accuracy	0.5955699026033339	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) y))
accuracy	33.86891538419834	#s(approx (+ x (/ (* y y) z)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) y)))
accuracy	0	(/.f64 #s(literal 1 binary64) z)
accuracy	0.171875	(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y)
accuracy	0.22265625	(*.f64 (/.f64 #s(literal 1 binary64) z) y)
accuracy	33.86891538419834	#s(approx (+ x (/ (* y y) z)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y))

Samples

68.0ms

256×

valid

Compiler

Compiled 77 to 18 computations (76.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-div: 33.0ms (82.3% of total)

ival-mult: 6.0ms (15% of total)

ival-add: 1.0ms (2.5% of total)

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

exact: 0.0ms (0% of total)

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

series17.0ms (0.4%)

Memory

-6.1MiB live, 31.2MiB allocated

Counts

12 → 300

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

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	((* (/ 1 z) y) (+ x (/ (* y y) z)) (* (* (/ 1 z) y) y) (/ 1 z) (/ 1 (/ (/ z y) y)) (/ (/ z y) y) (+ x (/ (* y y) z)) (/ z y) (/ y (* (/ 1 y) z)) (* (/ 1 y) z) (+ x (/ (* y y) z)) (/ 1 y))
1.0ms	z	@	-inf	((* (/ 1 z) y) (+ x (/ (* y y) z)) (* (* (/ 1 z) y) y) (/ 1 z) (/ 1 (/ (/ z y) y)) (/ (/ z y) y) (+ x (/ (* y y) z)) (/ z y) (/ y (* (/ 1 y) z)) (* (/ 1 y) z) (+ x (/ (* y y) z)) (/ 1 y))
1.0ms	z	@	0	((* (/ 1 z) y) (+ x (/ (* y y) z)) (* (* (/ 1 z) y) y) (/ 1 z) (/ 1 (/ (/ z y) y)) (/ (/ z y) y) (+ x (/ (* y y) z)) (/ z y) (/ y (* (/ 1 y) z)) (* (/ 1 y) z) (+ x (/ (* y y) z)) (/ 1 y))
1.0ms	y	@	-inf	((* (/ 1 z) y) (+ x (/ (* y y) z)) (* (* (/ 1 z) y) y) (/ 1 z) (/ 1 (/ (/ z y) y)) (/ (/ z y) y) (+ x (/ (* y y) z)) (/ z y) (/ y (* (/ 1 y) z)) (* (/ 1 y) z) (+ x (/ (* y y) z)) (/ 1 y))
1.0ms	y	@	0	((* (/ 1 z) y) (+ x (/ (* y y) z)) (* (* (/ 1 z) y) y) (/ 1 z) (/ 1 (/ (/ z y) y)) (/ (/ z y) y) (+ x (/ (* y y) z)) (/ z y) (/ y (* (/ 1 y) z)) (* (/ 1 y) z) (+ x (/ (* y y) z)) (/ 1 y))

simplify123.0ms (2.7%)

Memory

-13.7MiB live, 122.9MiB allocated

Algorithm

1×	egg-herbie

Rules

4 192×	`lower-fma.f64`
4 192×	`lower-fma.f32`
3 434×	`lower-*.f64`
3 434×	`lower-*.f32`
1 296×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	1428
1	62	1428
2	154	1428
3	495	1428
4	2226	1428
5	4076	1428
6	6140	1428
7	7801	1428
0	8071	1347

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 285

Calls

Call 1

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

rewrite123.0ms (2.7%)

Memory

28.3MiB live, 180.0MiB allocated

Rules

5 082×	`lower-fma.f64`
5 082×	`lower-fma.f32`
3 884×	`lower-*.f32`
3 878×	`lower-*.f64`
2 570×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	90
0	28	88
1	105	74
2	726	74
0	8211	71

Stop Event

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

Counts

12 → 357

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

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

eval70.0ms (1.5%)

Memory: -1.1MiB live, 151.7MiB allocated
Compiler: Compiled 5 985 to 566 computations (90.5% saved)

prune46.0ms (1%)

Memory

-6.8MiB live, 109.6MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	642	0	642
Fresh	0	0	0
Picked	0	3	3
Done	0	5	5
Total	642	8	650

Accuracy

100.0%

Counts

650 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 y z) y x)
✓	42.4%	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
✓	47.0%	#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
✓	47.0%	#s(approx (+ x (/ (* y y) z)) (/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) y) z)))
✓	47.0%	#s(approx (+ x (/ (* y y) z)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) y)))
✓	42.4%	#s(approx (+ x (/ (* y y) z)) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y y))))
✓	47.0%	#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
✓	46.9%	#s(approx (+ x (/ (* y y) z)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y))

Compiler

Compiled 206 to 82 computations (60.2% saved)

regimes33.0ms (0.7%)

Memory

-19.0MiB live, 62.5MiB allocated

Counts

16 → 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)))
#s(approx (+ x (/ (* y y) z)) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y y))))
#s(approx (+ x (/ (* y y) z)) (/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) y) z)))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y y))))
(+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) y) z)))
#s(approx (+ x (/ (* y y) z)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) y x)))

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

Calls

6 calls:

6.0ms	(+.f64 x (/.f64 (*.f64 y y) z))
6.0ms	x
5.0ms	z
5.0ms	y
5.0ms	(*.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

34.0MiB live, 34.1MiB 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	y
3.0ms	x
3.0ms	z
3.0ms	(+.f64 x (/.f64 (*.f64 y y) z))
3.0ms	(*.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)

regimes10.0ms (0.2%)

Memory

-15.4MiB live, 23.5MiB allocated

Accuracy

Total -2.9b remaining (-8.6%)

Threshold costs -2.9b (-8.6%)

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

Results

Accuracy	Segments	Branch
47.0%	1	`x`
47.0%	1	`y`
47.0%	1	`z`
47.0%	1	`(+.f64 x (/.f64 (*.f64 y y) z))`
47.0%	1	`(/.f64 (*.f64 y y) z)`
47.0%	1	`(*.f64 y y)`

Compiler

Compiled 36 to 24 computations (33.3% saved)

simplify6.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB 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)))
(+.f64 (/.f64 y (/.f64 z y)) x)
(fma.f64 (/.f64 y z) y x)
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))

soundness517.0ms (11.2%)

Memory

-5.4MiB live, 272.6MiB 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	23	376
1	58	376
2	150	376
3	489	376
4	2250	376
5	4093	376
6	6089	376
7	7810	376
0	8095	349
0	6	15
0	9	15
1	35	15
2	269	15
3	4534	15
0	8159	14
0	22	75
0	38	68
1	153	67
2	948	67
0	9230	67

Stop Event

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

Compiler

Compiled 72 to 36 computations (50% saved)

preprocess73.0ms (1.6%)

Memory: -13.4MiB live, 64.7MiB 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%)

analyze51.0ms (1.1%)

sample1.1s (23.9%)

explain111.0ms (2.4%)

preprocess65.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize60.0ms (1.3%)

series7.0ms (0.1%)

simplify256.0ms (5.5%)

rewrite346.0ms (7.5%)

eval24.0ms (0.5%)

prune56.0ms (1.2%)

simplify47.0ms (1%)

localize78.0ms (1.7%)

series55.0ms (1.2%)

simplify105.0ms (2.3%)

rewrite194.0ms (4.2%)

eval111.0ms (2.4%)

prune107.0ms (2.3%)

simplify12.0ms (0.3%)

localize56.0ms (1.2%)

series21.0ms (0.5%)

simplify118.0ms (2.5%)

rewrite252.0ms (5.4%)

eval136.0ms (2.9%)

prune131.0ms (2.8%)

simplify8.0ms (0.2%)

localize79.0ms (1.7%)

series17.0ms (0.4%)

simplify123.0ms (2.7%)

rewrite123.0ms (2.7%)

eval70.0ms (1.5%)

prune46.0ms (1%)

regimes33.0ms (0.7%)

regimes20.0ms (0.4%)

regimes10.0ms (0.2%)

simplify6.0ms (0.1%)

soundness517.0ms (11.2%)

preprocess73.0ms (1.6%)

end0.0ms (0%)

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