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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze39.0ms (0.7%)

Memory

4.6MiB live, 79.8MiB 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)

sample946.0ms (17.8%)

Memory

-2.3MiB live, 1 099.5MiB allocated

Samples

551.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 199.0ms

ival-mult: 82.0ms (41.3% of total)

ival-div: 65.0ms (32.7% of total)

ival-add: 43.0ms (21.6% of total)

ival-true: 6.0ms (3% of total)

ival-assert: 3.0ms (1.5% of total)

Bogosity

explain70.0ms (1.3%)

Memory

2.5MiB live, 124.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
37	-	4	(-1.1135192249359759e-155 2.7693892538491165e-158 4.961350135490226e-306)	`(/.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	16	0
↳	`(*.f64 y y)`	overflow	62
`/.f64`	`(/.f64 (*.f64 y y) z)`	u/n	2	0
↳	`(*.f64 y y)`	underflow	55

Confusion

	Predicted +	Predicted -
+	18	2
-	0	236

Precision

1.0

Recall

0.9

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	18	0	2
-	0	0	236

Precision?

1.0

Recall?

0.9

Freqs

test

number	freq
0	238
1	18

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

31.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 9.0ms (60% of total)

ival-div: 3.0ms (20% of total)

ival-add: 2.0ms (13.3% of total)

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

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

preprocess54.0ms (1%)

Memory

4.8MiB live, 43.2MiB 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 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.0%	(+.f64 x (/.f64 (*.f64 y y) z))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify4.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB 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

localize54.0ms (1%)

Memory

10.0MiB live, 48.4MiB 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	7.852911621308946	(/.f64 (*.f64 y y) z)

Samples

50.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 40.0ms (93.6% of total)

ival-div: 2.0ms (4.7% of total)

ival-add: 1.0ms (2.3% of total)

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

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

series13.0ms (0.2%)

Memory

-22.2MiB live, 21.2MiB 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
7.0ms	z	@	0	((+ x (/ (* y y) z)) (/ (* y y) z) (* y y))
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	@	inf	((+ x (/ (* y y) z)) (/ (* y y) z) (* y y))
1.0ms	y	@	-inf	((+ x (/ (* y y) z)) (/ (* y y) z) (* y y))

simplify107.0ms (2%)

Memory

-17.5MiB live, 140.2MiB 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)

rewrite320.0ms (6%)

Memory

-0.2MiB live, 172.7MiB 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 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 (/.f64 (.f64 y y) z) x) (/.f64 (.f64 y y) z)) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (.f64 (-.f64 (/.f64 (.f64 y y) z) x) (/.f64 (.f64 y y) z))))
(.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 (/.f64 (.f64 y y) z) x) (/.f64 (.f64 y y) z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (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)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64))) (-.f64 (.f64 x x) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)))) (fma.f64 (/.f64 y z) y x))
(.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64))) (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (/.f64 (.f64 y y) z) (fma.f64 (/.f64 y z) y x) (*.f64 x x)))
(.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 (neg.f64 x) x)) (pow.f64 (-.f64 (/.f64 (*.f64 y y) z) x) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 x (/.f64 (.f64 y y) z)) #s(literal -1 binary64)) (-.f64 (.f64 x x) (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64))))
(.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (/.f64 (*.f64 y y) z)))) #s(literal -1 binary64)) (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64)))) (pow.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (.f64 y y) z)) #s(literal -1 binary64)))
(.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (/.f64 (*.f64 y y) z))))) #s(literal -1 binary64)))
(.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64))) (pow.f64 (-.f64 x (/.f64 (.f64 y y) z)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) y x))
(.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (/.f64 (.f64 y y) z)))) (/.f64 (fma.f64 (/.f64 y z) y x) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (/.f64 (*.f64 y y) z))))))
(.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (/.f64 (.f64 y y) z)))) (.f64 (fma.f64 (/.f64 y z) y x) (pow.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (/.f64 (.f64 y y) z)))) #s(literal -1 binary64))))
(.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (/.f64 (*.f64 y y) z)))) #s(literal -1 binary64)))
(.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)) (pow.f64 (-.f64 x (/.f64 (.f64 y y) z)) #s(literal -1 binary64))))
(pow.f64 (/.f64 (-.f64 (/.f64 (.f64 y y) z) x) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 (neg.f64 x) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 z (.f64 y y)) #s(literal -4 binary64))) (pow.f64 (-.f64 x (/.f64 (.f64 y y) z)) #s(literal -1 binary64))) (fma.f64 x x (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (.f64 y y)) #s(literal -6 binary64))) (pow.f64 (-.f64 x (/.f64 (.f64 y y) z)) #s(literal -1 binary64))) (+.f64 (fma.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 z #s(literal -4 binary64)) (pow.f64 (.f64 (/.f64 (*.f64 y y) z) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (.f64 y y)) #s(literal -6 binary64))) (pow.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (/.f64 (.f64 y y) z)))) #s(literal -1 binary64))) (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 z #s(literal -9 binary64)) (pow.f64 y #s(literal 18 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (/.f64 (.f64 y y) z)))) #s(literal -1 binary64))) (-.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (.f64 y y)) #s(literal -6 binary64))) (pow.f64 (.f64 (/.f64 (.f64 y y) z) x) #s(literal 3 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (/.f64 (*.f64 y y) z)))))
(/.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x (/.f64 (.f64 y y) z)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (.f64 (-.f64 x (/.f64 (.f64 y y) z)) z)) #s(literal 2 binary64))) (fma.f64 x (/.f64 x (-.f64 x (/.f64 (.f64 y y) z))) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (.f64 (-.f64 x (/.f64 (*.f64 y y) z)) z))))
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x (/.f64 (.f64 y y) z)) #s(literal 3 binary64))) (/.f64 (pow.f64 (/.f64 z (.f64 y y)) #s(literal -6 binary64)) (pow.f64 (-.f64 x (/.f64 (.f64 y y) z)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x (/.f64 (.f64 y y) z)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (.f64 (-.f64 x (/.f64 (.f64 y y) z)) z)) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (-.f64 x (/.f64 (.f64 y y) z)))) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (.f64 (-.f64 x (/.f64 (.f64 y y) z)) z))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (/.f64 (.f64 y y) z) x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64))))) (neg.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (*.f64 y y) z))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (/.f64 (.f64 y y) z)))))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 z (.f64 y y)) #s(literal -4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 x x (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64))) (-.f64 x (/.f64 (*.f64 y y) z))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (.f64 y y)) #s(literal -6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (fma.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 z #s(literal -4 binary64)) (pow.f64 (.f64 (/.f64 (.f64 y y) z) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (/.f64 (.f64 y y) z))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (.f64 y y)) #s(literal -6 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (/.f64 (*.f64 y y) z))))))
(/.f64 (.f64 (fma.f64 (pow.f64 z #s(literal -9 binary64)) (pow.f64 y #s(literal 18 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (.f64 y y)) #s(literal -6 binary64))) (pow.f64 (.f64 (/.f64 (.f64 y y) z) x) #s(literal 3 binary64))) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (/.f64 (*.f64 y y) z))))))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x (/.f64 (.f64 y y) z))) (.f64 (-.f64 x (/.f64 (.f64 y y) z)) (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64)))) (pow.f64 (-.f64 x (/.f64 (*.f64 y y) z)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 z (.f64 y y)) #s(literal -4 binary64))) (.f64 (-.f64 x (/.f64 (.f64 y y) z)) (fma.f64 x x (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 (neg.f64 x) x)) (-.f64 (/.f64 (.f64 y y) z) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (.f64 y y)) #s(literal -6 binary64))) (.f64 (-.f64 x (/.f64 (.f64 y y) z)) (+.f64 (fma.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 z #s(literal -4 binary64)) (pow.f64 (.f64 (/.f64 (*.f64 y y) z) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (.f64 y y)) #s(literal -6 binary64))) (.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (/.f64 (.f64 y y) z)))) (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (fma.f64 (pow.f64 z #s(literal -9 binary64)) (pow.f64 y #s(literal 18 binary64)) (pow.f64 x #s(literal 9 binary64))) (.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (/.f64 (.f64 y y) z)))) (-.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (.f64 y y)) #s(literal -6 binary64))) (pow.f64 (.f64 (/.f64 (.f64 y y) z) x) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) x (/.f64 (*.f64 y y) z)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (/.f64 (.f64 y y) z))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64))) (-.f64 x (/.f64 (*.f64 y y) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (.f64 y y) z) x) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 (neg.f64 x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal -1 binary64)))
(/.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (/.f64 (.f64 y y) z)))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64)))) (-.f64 x (/.f64 (*.f64 y y) z))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (/.f64 (.f64 y y) z))))))
(neg.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) x (/.f64 (*.f64 y y) z))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 x (-.f64 x (/.f64 (.f64 y y) z)))))))
(fma.f64 (exp.f64 (log.f64 (*.f64 (neg.f64 y) y))) (exp.f64 (log.f64 (/.f64 #s(literal -1 binary64) z))) x)
(fma.f64 (/.f64 (.f64 x x) (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (/.f64 (.f64 y y) z) (fma.f64 (/.f64 y z) y x) (.f64 x x)) (neg.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (.f64 (-.f64 x (/.f64 (*.f64 y y) z)) z))))
(fma.f64 (/.f64 (.f64 x x) (-.f64 (.f64 x x) (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64)))) (fma.f64 (/.f64 y z) y x) (neg.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (.f64 (-.f64 x (/.f64 (*.f64 y y) 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 (pow.f64 z #s(literal -1 binary64)) (*.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) (pow.f64 (-.f64 x (/.f64 (.f64 y y) z)) #s(literal -1 binary64)) (neg.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (.f64 (-.f64 x (/.f64 (.f64 y y) 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) (pow.f64 z #s(literal -1 binary64)) 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 (pow.f64 y #s(literal 4 binary64)) z) (.f64 (-.f64 x (/.f64 (*.f64 y y) z)) z))))
(fma.f64 x #s(literal 1 binary64) (/.f64 (*.f64 y y) z))
(-.f64 (/.f64 (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64)) (-.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 (pow.f64 y #s(literal 4 binary64)) z) (.f64 (-.f64 x (/.f64 (.f64 y y) z)) z)))
(-.f64 x (*.f64 (neg.f64 y) (/.f64 y z)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 x (/.f64 x (-.f64 x (/.f64 (.f64 y y) z)))) (neg.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (.f64 (-.f64 x (/.f64 (.f64 y y) 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 (log.f64 (/.f64 #s(literal -1 binary64) 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 (pow.f64 z #s(literal -1 binary64)) (.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) (pow.f64 z #s(literal -1 binary64)))
(.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 (pow.f64 (/.f64 z (*.f64 y y)) #s(literal 2 binary64)) #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) (pow.f64 y #s(literal -2 binary64))))))
(/.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) (pow.f64 y #s(literal -2 binary64))))
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -2 binary64)))
(/.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 (pow.f64 y #s(literal -2 binary64)) #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) (pow.f64 y #s(literal -2 binary64)))
(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 (pow.f64 y #s(literal -2 binary64))) #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: -6.6MiB live, 31.0MiB allocated
Compiler: Compiled 3 158 to 429 computations (86.4% saved)

prune8.0ms (0.2%)

Memory

28.2MiB live, 28.2MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	208	6	214
Fresh	0	0	0
Picked	0	1	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)
▶	93.0%	(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y) x)
▶	99.8%	(fma.f64 (neg.f64 y) (*.f64 y (/.f64 #s(literal -1 binary64) z)) x)
	99.7%	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 y z) y x) #s(literal -1 binary64)))
✓	93.0%	(+.f64 x (/.f64 (*.f64 y y) z))
▶	99.9%	(+.f64 x (/.f64 y (/.f64 z y)))
▶	47.7%	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))

Compiler

Compiled 101 to 90 computations (10.9% saved)

simplify44.0ms (0.8%)

Memory

-19.4MiB live, 19.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 (neg.f64 y) y)
cost-diff	0	(/.f64 #s(literal -1 binary64) z)
cost-diff	448	(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y) x)
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 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

634×	`times-frac`
412×	`div-sub`
368×	`lower-fma.f32`
362×	`lower-fma.f64`
346×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	98
0	37	90
1	58	89
2	97	89
3	167	89
4	315	89
5	440	89
6	889	89
7	1391	89
8	1853	89
9	2042	89
10	2138	89
11	2178	89
12	2180	89
0	2180	89

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

localize76.0ms (1.4%)

Memory

8.9MiB live, 91.4MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal -1 binary64) z)
accuracy	0	(*.f64 (neg.f64 y) y)
accuracy	0	(neg.f64 y)
accuracy	4.508415383489878	(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y) x)
accuracy	0	(/.f64 #s(literal -1 binary64) z)
accuracy	0	(neg.f64 y)
accuracy	0.07421875	(fma.f64 (neg.f64 y) (*.f64 y (/.f64 #s(literal -1 binary64) z)) x)
accuracy	0.21484375	(*.f64 y (/.f64 #s(literal -1 binary64) z))
accuracy	0	(/.f64 y z)
accuracy	0.07421875	(fma.f64 (/.f64 y z) y x)
accuracy	0	(*.f64 y y)
accuracy	7.852911621308946	(/.f64 (*.f64 y y) z)
accuracy	28.978169775390864	#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	0.15023215476030194	(/.f64 y (/.f64 z y))

Samples

63.0ms

256×

valid

Compiler

Compiled 97 to 23 computations (76.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-div: 15.0ms (44% of total)

ival-mult: 12.0ms (35.2% of total)

ival-add: 5.0ms (14.7% of total)

ival-neg: 1.0ms (2.9% of total)

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

exact: 0.0ms (0% of total)

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

series21.0ms (0.4%)

Memory

4.1MiB live, 40.0MiB 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 (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>) () ())
#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) (.f64 (neg.f64 y) y) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) (.f64 (neg.f64 y) y) x) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 y) y) (patch (.f64 (neg.f64 y) y) #<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>) () ())) ())
#s(alt (/ (+ (* x z) (pow y 2)) z) (taylor 0 z) (#s(alt (+.f64 x (/.f64 y (/.f64 z y))) (patch (+.f64 x (/.f64 y (/.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x z) (pow y 2)) z) (taylor 0 z) (#s(alt (+.f64 x (/.f64 y (/.f64 z y))) (patch (+.f64 x (/.f64 y (/.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x z) (pow y 2)) z) (taylor 0 z) (#s(alt (+.f64 x (/.f64 y (/.f64 z y))) (patch (+.f64 x (/.f64 y (/.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (/ 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 #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 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 (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>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) (.f64 (neg.f64 y) y) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) (.f64 (neg.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 (neg.f64 y) y) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) (.f64 (neg.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 (neg.f64 y) y) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) (.f64 (neg.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 (neg.f64 y) y) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) (.f64 (neg.f64 y) y) x) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	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) (+ (* (neg y) (* y (/ -1 z))) x) (* y (/ -1 z)) (neg y) (/ -1 z) (+ (* (/ -1 z) (* (neg y) y)) x) (* (neg y) y))
2.0ms	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) (+ (* (neg y) (* y (/ -1 z))) x) (* y (/ -1 z)) (neg y) (/ -1 z) (+ (* (/ -1 z) (* (neg y) y)) x) (* (neg y) y))
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) (+ (* (neg y) (* y (/ -1 z))) x) (* y (/ -1 z)) (neg y) (/ -1 z) (+ (* (/ -1 z) (* (neg y) y)) x) (* (neg y) y))
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) (+ (* (neg y) (* y (/ -1 z))) x) (* y (/ -1 z)) (neg y) (/ -1 z) (+ (* (/ -1 z) (* (neg y) y)) x) (* (neg y) y))
1.0ms	y	@	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) (+ (* (neg y) (* y (/ -1 z))) x) (* y (/ -1 z)) (neg y) (/ -1 z) (+ (* (/ -1 z) (* (neg y) y)) x) (* (neg y) y))

simplify143.0ms (2.7%)

Memory

-12.8MiB live, 141.9MiB allocated

Algorithm

1×	egg-herbie

Rules

4 064×	`lower-fma.f64`
4 064×	`lower-fma.f32`
2 986×	`lower-*.f64`
2 986×	`lower-*.f32`
1 616×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	1724
1	70	1724
2	166	1724
3	536	1724
4	2385	1724
5	4325	1724
6	6441	1724
0	8136	1589

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

rewrite186.0ms (3.5%)

Memory

12.3MiB live, 210.9MiB allocated

Rules

7 606×	`lower-fma.f32`
7 600×	`lower-fma.f64`
3 626×	`lower-*.f32`
3 620×	`lower-*.f64`
2 232×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	77
0	37	69
1	148	68
2	885	68
0	9225	68

Stop Event

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

Counts

14 → 588

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

Outputs
(*.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (neg.f64 y) z))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 y) z))
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 y (pow.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) (/.f64 (neg.f64 y) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 (neg.f64 y) z))
(.f64 (/.f64 (.f64 (neg.f64 y) y) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (/.f64 y (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 y (pow.f64 y #s(literal -1 binary64))) (pow.f64 z #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 (neg.f64 y) z) y) #s(literal -1 binary64))
(.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (.f64 (neg.f64 y) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 y (pow.f64 y #s(literal -1 binary64))))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 z #s(literal -1 binary64)) (.f64 y y))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) z))
(.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 y) z) (neg.f64 y))
(.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (.f64 y y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y (/.f64 #s(literal -1 binary64) y)))
(.f64 (/.f64 #s(literal -1 binary64) z) (.f64 (neg.f64 y) y))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 (neg.f64 y) z) y))
(*.f64 (neg.f64 y) (/.f64 (neg.f64 y) z))
(*.f64 (/.f64 y z) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)))
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(-.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 (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64)) (-.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 (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64)) (-.f64 x (/.f64 (.f64 y y) z)))))
(+.f64 (/.f64 (*.f64 y y) z) x)
(+.f64 x (/.f64 (*.f64 y y) z))
(.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) y))
(.f64 (.f64 (neg.f64 y) y) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 y y))
(*.f64 (neg.f64 y) y)
(.f64 (.f64 y y) #s(literal -1 binary64))
(*.f64 y (neg.f64 y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 y y)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 #s(literal 0 binary64) (.f64 y y)))))
(neg.f64 (*.f64 y y))
(fma.f64 y #s(literal 0 binary64) (*.f64 (neg.f64 y) y))
(-.f64 #s(literal 0 binary64) (*.f64 y y))
(+.f64 (.f64 y #s(literal 0 binary64)) (.f64 (neg.f64 y) y))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y))

eval155.0ms (2.9%)

Memory: 8.5MiB live, 203.5MiB allocated
Compiler: Compiled 12 849 to 858 computations (93.3% saved)

prune46.0ms (0.9%)

Memory

-6.2MiB live, 111.1MiB allocated

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	959	4	963
Fresh	1	0	1
Picked	3	2	5
Done	0	1	1
Total	963	7	970

Accuracy

100.0%

Counts

970 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 y z) y x)
✓	93.0%	(+.f64 x (/.f64 (*.f64 y y) z))
▶	37.9%	#s(approx (+ x (/ (* y y) z)) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y)) (.f64 (/.f64 (neg.f64 z) y) y)) (pow.f64 (/.f64 y z) #s(literal -2 binary64))))
✓	47.7%	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
▶	54.6%	#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
▶	54.6%	#s(approx (+ x (/ (* y y) z)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) y)))
▶	54.6%	#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))

Compiler

Compiled 59 to 51 computations (13.6% saved)

simplify159.0ms (3%)

Memory

2.6MiB live, 86.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ x (/ (* y y) z)) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y)) (.f64 (/.f64 (neg.f64 z) y) y)) (pow.f64 (/.f64 y z) #s(literal -2 binary64))))
cost-diff	320	(-.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y)) (.f64 (/.f64 (neg.f64 z) y) y))
cost-diff	1024	(*.f64 (/.f64 (neg.f64 z) y) y)
cost-diff	1152	(*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y))
cost-diff	0	(/.f64 z y)
cost-diff	0	#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
cost-diff	384	(/.f64 y (/.f64 z y))
cost-diff	0	(/.f64 z y)
cost-diff	0	(/.f64 (/.f64 z y) y)
cost-diff	0	#s(approx (+ x (/ (* y y) z)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) y)))
cost-diff	1088	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z 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))

Rules

3 500×	`lower-*.f32`
3 496×	`lower-*.f64`
2 508×	`lower-fma.f64`
2 508×	`lower-fma.f32`
1 372×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	168
0	39	133
1	68	127
2	123	119
3	284	119
4	1291	119
5	2715	119
6	3834	119
7	4422	119
8	4646	119
9	4761	119
10	4925	119
11	6044	119
12	6653	119
13	6984	119
0	8372	115

Stop Event

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

Calls

Call 1

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

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

localize98.0ms (1.8%)

Memory

-4.0MiB live, 71.9MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	7.808647911050929	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y)) (.f64 (/.f64 (neg.f64 z) y) y)) (pow.f64 (/.f64 y z) #s(literal -2 binary64)))
accuracy	7.87495596706605	(*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y))
accuracy	14.321975529250865	(*.f64 (/.f64 (neg.f64 z) y) y)
accuracy	28.978169775390864	#s(approx (+ x (/ (* y y) z)) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y)) (.f64 (/.f64 (neg.f64 z) y) y)) (pow.f64 (/.f64 y z) #s(literal -2 binary64))))
accuracy	0	(/.f64 z y)
accuracy	0.15023215476030194	(/.f64 y (/.f64 z y))
accuracy	28.978169775390864	#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
accuracy	0	(/.f64 z y)
accuracy	0.14453125	(/.f64 (/.f64 z y) y)
accuracy	0.37753052231024936	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) y))
accuracy	28.978169775390864	#s(approx (+ x (/ (* y y) z)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) y)))
accuracy	0	(/.f64 y z)
accuracy	0.140625	(*.f64 (/.f64 y z) y)
accuracy	28.978169775390864	#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))

Samples

54.0ms

256×

valid

Compiler

Compiled 130 to 24 computations (81.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-div: 12.0ms (48.1% of total)

ival-mult: 5.0ms (20% of total)

ival-pow: 3.0ms (12% of total)

ival-add: 1.0ms (4% of total)

ival-sub: 1.0ms (4% of total)

ival-neg: 1.0ms (4% of total)

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

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

exact: 0.0ms (0% of total)

series20.0ms (0.4%)

Memory

25.6MiB live, 25.6MiB allocated

Counts

14 → 384

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	z	@	0	((+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) (/ 1 (/ (/ z y) y)) (+ x (/ (* y y) z)) (/ (/ z y) y) (/ z y) (/ y (/ z y)) (+ x (/ (* y y) z)) (* 0 (/ (neg z) y)) (* (/ (neg z) y) y) (- (* 0 (/ (neg z) y)) (* (/ (neg z) y) y)) (+ x (/ (* y y) z)) (/ (- (* 0 (/ (neg z) y)) (* (/ (neg z) y) y)) (pow (/ y z) -2)))
2.0ms	z	@	-inf	((+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) (/ 1 (/ (/ z y) y)) (+ x (/ (* y y) z)) (/ (/ z y) y) (/ z y) (/ y (/ z y)) (+ x (/ (* y y) z)) (* 0 (/ (neg z) y)) (* (/ (neg z) y) y) (- (* 0 (/ (neg z) y)) (* (/ (neg z) y) y)) (+ x (/ (* y y) z)) (/ (- (* 0 (/ (neg z) y)) (* (/ (neg z) y) y)) (pow (/ y z) -2)))
1.0ms	z	@	inf	((+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) (/ 1 (/ (/ z y) y)) (+ x (/ (* y y) z)) (/ (/ z y) y) (/ z y) (/ y (/ z y)) (+ x (/ (* y y) z)) (* 0 (/ (neg z) y)) (* (/ (neg z) y) y) (- (* 0 (/ (neg z) y)) (* (/ (neg z) y) y)) (+ x (/ (* y y) z)) (/ (- (* 0 (/ (neg z) y)) (* (/ (neg z) y) y)) (pow (/ y z) -2)))
1.0ms	y	@	-inf	((+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) (/ 1 (/ (/ z y) y)) (+ x (/ (* y y) z)) (/ (/ z y) y) (/ z y) (/ y (/ z y)) (+ x (/ (* y y) z)) (* 0 (/ (neg z) y)) (* (/ (neg z) y) y) (- (* 0 (/ (neg z) y)) (* (/ (neg z) y) y)) (+ x (/ (* y y) z)) (/ (- (* 0 (/ (neg z) y)) (* (/ (neg z) y) y)) (pow (/ y z) -2)))
1.0ms	y	@	0	((+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) (/ 1 (/ (/ z y) y)) (+ x (/ (* y y) z)) (/ (/ z y) y) (/ z y) (/ y (/ z y)) (+ x (/ (* y y) z)) (* 0 (/ (neg z) y)) (* (/ (neg z) y) y) (- (* 0 (/ (neg z) y)) (* (/ (neg z) y) y)) (+ x (/ (* y y) z)) (/ (- (* 0 (/ (neg z) y)) (* (/ (neg z) y) y)) (pow (/ y z) -2)))

simplify223.0ms (4.2%)

Memory

-1.0MiB live, 83.0MiB allocated

Algorithm

1×	egg-herbie

Rules

4 192×	`lower-fma.f64`
4 192×	`lower-fma.f32`
3 434×	`lower-*.f64`
3 434×	`lower-*.f32`
1 308×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	1720
1	64	1720
2	156	1720
3	502	1720
4	2287	1720
5	4170	1720
6	6233	1720
7	7888	1720
0	8158	1612

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 340

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)
(/ 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)
(/ z (pow y 2))
(/ z (pow y 2))
(/ z (pow y 2))
(/ z (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)
(/ (pow y 2) z)
(/ (+ (* x z) (pow y 2)) z)
(/ (+ (* x z) (pow y 2)) z)
(/ (+ (* x z) (pow y 2)) z)
0
0
0
0
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
z
z
z
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)
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))
(/ z (pow y 2))
(/ z (pow y 2))
(/ z (pow y 2))
(/ z (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)
x
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
0
0
0
0
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
z
z
z
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)
(/ 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))
(/ z (pow y 2))
(/ z (pow y 2))
(/ z (pow y 2))
(/ z (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)
x
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
0
0
0
0
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
z
z
z
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)
(/ 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))
(/ z (pow y 2))
(/ z (pow y 2))
(/ z (pow y 2))
(/ z (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)
x
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
0
0
0
0
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
z
z
z
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) (+ (/ 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)
(/ (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 (pow y 2))
(/ z (pow y 2))
(/ z (pow y 2))
(/ z (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)
(/ (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))))
0
0
0
0
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
z
z
z
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) (+ (/ 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)
(/ (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 (pow y 2))
(/ z (pow y 2))
(/ z (pow y 2))
(/ z (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)
(/ (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))))
0
0
0
0
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
z
z
z
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)
(+ 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
(* -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)
(/ (+ (* 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)
(/ 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)
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(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)

rewrite430.0ms (8.1%)

Memory

-21.8MiB live, 245.8MiB allocated

Rules

5 900×	`lower-fma.f64`
5 900×	`lower-fma.f32`
4 468×	`lower-*.f32`
4 464×	`lower-*.f64`
2 108×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	140
0	39	98
1	142	95
2	1021	87
0	9950	83

Stop Event

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

Counts

14 → 1 421

Calls

Call 1

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

Outputs
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
(.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal -1 binary64) z))
(.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 z #s(literal -2 binary64)))
(.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) (neg.f64 y)) (/.f64 (neg.f64 z) y))
(.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 z))
(.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) (/.f64 (neg.f64 z) y)) (neg.f64 y))
(.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) (/.f64 z y)) y)
(.f64 (.f64 (/.f64 (neg.f64 y) z) #s(literal -1 binary64)) y)
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64))) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)))
(.f64 (neg.f64 (.f64 (/.f64 (neg.f64 z) y) (/.f64 y z))) (/.f64 (*.f64 y y) z))
(.f64 (pow.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64))) (.f64 z z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (pow.f64 z #s(literal -3 binary64))) #s(literal -1 binary64)) (pow.f64 z #s(literal -2 binary64)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) #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 (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(.f64 (.f64 z (/.f64 y z)) (/.f64 y z))
(.f64 (.f64 (*.f64 (neg.f64 z) z) (pow.f64 (/.f64 z y) #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) z))
(.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (/.f64 z y) #s(literal -2 binary64))) (pow.f64 z #s(literal -2 binary64)))
(.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) y) (/.f64 z y))
(.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)))
(.f64 (.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 z #s(literal -2 binary64))) (/.f64 (/.f64 (neg.f64 z) y) y))
(.f64 (.f64 (/.f64 (neg.f64 y) z) y) (*.f64 (/.f64 (neg.f64 z) y) (/.f64 y z)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) z) (.f64 (neg.f64 y) y))
(.f64 (.f64 (/.f64 (neg.f64 z) y) (/.f64 y z)) (*.f64 (/.f64 (neg.f64 y) z) y))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 (pow.f64 (/.f64 (neg.f64 y) z) #s(literal -3 binary64)) y)) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal 4 binary64))))
(.f64 (.f64 (neg.f64 y) z) (*.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)))))
(.f64 (.f64 (neg.f64 z) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (/.f64 z y) #s(literal -2 binary64))))
(.f64 (.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (/.f64 (neg.f64 y) z) #s(literal -3 binary64)))))
(.f64 (.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (neg.f64 y) z) #s(literal -3 binary64)) y)))
(*.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) z)
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 z #s(literal -1 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 (pow.f64 z #s(literal 3 binary64)) (.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 z y) #s(literal -2 binary64))))
(.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (neg.f64 z) y) z) #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64))))
(.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 (neg.f64 y) (.f64 (/.f64 (neg.f64 z) y) (pow.f64 (/.f64 z y) #s(literal -2 binary64))))
(*.f64 (neg.f64 y) (/.f64 (neg.f64 y) z))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 (neg.f64 y) z) y))
(.f64 (/.f64 (neg.f64 z) y) (.f64 (neg.f64 y) (pow.f64 (/.f64 z y) #s(literal -2 binary64))))
(.f64 (/.f64 (neg.f64 z) y) (.f64 y (neg.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)))))
(.f64 (/.f64 (neg.f64 z) y) (neg.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) y)))
(*.f64 (neg.f64 z) (neg.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64))))
(.f64 (/.f64 z y) (.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) y))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) z))
(*.f64 (/.f64 y z) (pow.f64 (/.f64 (/.f64 z y) z) #s(literal -1 binary64)))
(*.f64 (/.f64 y z) y)
(.f64 (/.f64 (.f64 y y) z) (neg.f64 (*.f64 (/.f64 (neg.f64 z) y) (/.f64 y z))))
(.f64 (/.f64 (.f64 y y) z) #s(literal 1 binary64))
(*.f64 z (pow.f64 (/.f64 z y) #s(literal -2 binary64)))
(.f64 (.f64 y y) (*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 y y) (pow.f64 z #s(literal -1 binary64)))
(.f64 y (.f64 (/.f64 z y) (pow.f64 (/.f64 z y) #s(literal -2 binary64))))
(.f64 y (.f64 (/.f64 (neg.f64 z) y) (neg.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)))))
(.f64 y (neg.f64 (.f64 (/.f64 (neg.f64 z) y) (pow.f64 (/.f64 z y) #s(literal -2 binary64)))))
(*.f64 y (/.f64 y z))
(pow.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 y y) z) #s(literal 1 binary64))
(/.f64 (neg.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -3 binary64))) (neg.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 (neg.f64 z) z) (pow.f64 (/.f64 z y) #s(literal -2 binary64)))) z)
(/.f64 (neg.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (/.f64 z y) #s(literal -2 binary64)))) (.f64 (neg.f64 z) z))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (/.f64 (neg.f64 y) z) #s(literal -3 binary64)) y))) (neg.f64 (pow.f64 (/.f64 z y) #s(literal 4 binary64))))
(/.f64 (*.f64 z (/.f64 y z)) (/.f64 z y))
(/.f64 (/.f64 z (/.f64 (neg.f64 z) y)) (/.f64 (neg.f64 z) y))
(/.f64 (.f64 (.f64 (neg.f64 z) z) (pow.f64 (/.f64 z y) #s(literal -2 binary64))) (neg.f64 z))
(/.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (/.f64 z y) #s(literal -2 binary64))) (.f64 z z))
(/.f64 (.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 z #s(literal -2 binary64))) (.f64 (/.f64 (neg.f64 y) z) y))
(/.f64 (*.f64 (/.f64 (neg.f64 y) z) y) #s(literal -1 binary64))
(/.f64 (.f64 z y) (.f64 (/.f64 z y) z))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (/.f64 (neg.f64 y) z) #s(literal -3 binary64)) y)) (pow.f64 (/.f64 z y) #s(literal 4 binary64)))
(/.f64 (.f64 (neg.f64 y) z) (.f64 (/.f64 (neg.f64 z) y) z))
(/.f64 (.f64 (neg.f64 z) z) (.f64 y (pow.f64 (/.f64 (neg.f64 y) z) #s(literal -3 binary64))))
(/.f64 (.f64 (neg.f64 z) z) (.f64 (pow.f64 (/.f64 (neg.f64 y) z) #s(literal -3 binary64)) y))
(/.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) (pow.f64 z #s(literal -1 binary64)))
(/.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) y))
(/.f64 (.f64 z z) (neg.f64 (.f64 y (pow.f64 (/.f64 (neg.f64 y) z) #s(literal -3 binary64)))))
(/.f64 (.f64 z z) (neg.f64 (.f64 (pow.f64 (/.f64 (neg.f64 y) z) #s(literal -3 binary64)) y)))
(/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (neg.f64 z) y) z) #s(literal 2 binary64)))
(/.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (/.f64 (neg.f64 z) y) z) #s(literal 2 binary64))))
(/.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64)) (/.f64 (*.f64 y y) z))
(/.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64)) (.f64 #s(literal 0 binary64) (/.f64 (.f64 y y) z)))))
(/.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -3 binary64)) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64)))
(/.f64 (*.f64 (neg.f64 y) y) (neg.f64 z))
(/.f64 (neg.f64 y) (/.f64 (neg.f64 z) y))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 z) y) y))
(/.f64 (neg.f64 z) (neg.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) (*.f64 z (/.f64 y z))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) (.f64 (.f64 (neg.f64 z) z) (pow.f64 (/.f64 z y) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 z z) (.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (/.f64 z y) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (neg.f64 y) z) y) (.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 z #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64)) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y (pow.f64 (/.f64 (neg.f64 y) z) #s(literal -3 binary64))) (.f64 (neg.f64 z) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 z y) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (/.f64 (neg.f64 y) z) #s(literal -3 binary64)) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (/.f64 (neg.f64 y) z) #s(literal -3 binary64)) y) (.f64 (neg.f64 z) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 (/.f64 (neg.f64 z) y) z) #s(literal 2 binary64)) (pow.f64 z #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) y))
(/.f64 (/.f64 y z) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (/.f64 (*.f64 y y) z) #s(literal 1 binary64))
(/.f64 z (pow.f64 (/.f64 z y) #s(literal 2 binary64)))
(/.f64 (*.f64 y y) z)
(/.f64 y (/.f64 z y))
(neg.f64 (/.f64 (.f64 (.f64 (neg.f64 z) z) (pow.f64 (/.f64 z y) #s(literal -2 binary64))) z))
(neg.f64 (/.f64 (*.f64 (/.f64 (neg.f64 y) z) y) #s(literal 1 binary64)))
(neg.f64 (*.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) (neg.f64 z)))
(neg.f64 (/.f64 (.f64 z z) (.f64 (pow.f64 (/.f64 (neg.f64 y) z) #s(literal -3 binary64)) y)))
(neg.f64 (/.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (neg.f64 z) y) z) #s(literal 2 binary64))))
(neg.f64 (*.f64 (/.f64 (neg.f64 y) z) y))
(fma.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) (.f64 (neg.f64 z) z)) (/.f64 #s(literal -1 binary64) z) (*.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 0 binary64)))
(fma.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) (.f64 (neg.f64 z) z)) (/.f64 #s(literal -1 binary64) z) #s(literal 0 binary64))
(fma.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 z #s(literal -2 binary64)) (.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 0 binary64)))
(fma.f64 (*.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 z #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) (neg.f64 y)) (/.f64 (neg.f64 z) y) (.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 0 binary64)))
(fma.f64 (*.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) (neg.f64 y)) (/.f64 (neg.f64 z) y) #s(literal 0 binary64))
(fma.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 z) (.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 0 binary64)))
(fma.f64 (*.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 z) #s(literal 0 binary64))
(fma.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) (/.f64 (neg.f64 z) y)) (neg.f64 y) (.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 0 binary64)))
(fma.f64 (*.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) (/.f64 (neg.f64 z) y)) (neg.f64 y) #s(literal 0 binary64))
(fma.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) (/.f64 z y)) y (.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 0 binary64)))
(fma.f64 (*.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) (/.f64 z y)) y #s(literal 0 binary64))
(fma.f64 (.f64 (/.f64 (neg.f64 y) z) #s(literal -1 binary64)) y (.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 0 binary64)))
(fma.f64 (*.f64 (/.f64 (neg.f64 y) z) #s(literal -1 binary64)) y #s(literal 0 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64))) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64))) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (.f64 (/.f64 (neg.f64 z) y) (/.f64 y z))) (/.f64 (.f64 y y) z) (*.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (.f64 (/.f64 (neg.f64 z) y) (/.f64 y z))) (/.f64 (.f64 y y) z) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64))) (.f64 z z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z) (.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 0 binary64)))
(fma.f64 (pow.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64))) (*.f64 z z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z) #s(literal 0 binary64))
(fma.f64 (pow.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (pow.f64 z #s(literal -3 binary64))) #s(literal -1 binary64)) (pow.f64 z #s(literal -2 binary64)) (.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 0 binary64)))
(fma.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (pow.f64 z #s(literal -3 binary64))) #s(literal -1 binary64)) (pow.f64 z #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z) (*.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 0 binary64)))
(fma.f64 (pow.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 (neg.f64 y) z) (*.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 0 binary64)))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 (neg.f64 y) z) #s(literal 0 binary64))
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(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) z) (.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) z) #s(literal 0 binary64))
(fma.f64 (/.f64 y z) (pow.f64 (/.f64 (/.f64 z y) z) #s(literal -1 binary64)) (*.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 0 binary64)))
(fma.f64 (/.f64 y z) (pow.f64 (/.f64 (/.f64 z y) z) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 y z) y (*.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 0 binary64)))
(fma.f64 (/.f64 y z) y #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 y y) z) (neg.f64 (.f64 (/.f64 (neg.f64 z) y) (/.f64 y z))) (*.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 0 binary64)))
(fma.f64 (/.f64 (.f64 y y) z) (neg.f64 (.f64 (/.f64 (neg.f64 z) y) (/.f64 y z))) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 y y) z) #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 0 binary64)))
(fma.f64 (/.f64 (*.f64 y y) z) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 z (pow.f64 (/.f64 z y) #s(literal -2 binary64)) (*.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 0 binary64)))
(fma.f64 z (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 y y) (.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 0 binary64)))
(fma.f64 (.f64 y y) (.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 y y) (pow.f64 z #s(literal -1 binary64)) (.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 0 binary64)))
(fma.f64 (*.f64 y y) (pow.f64 z #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 y (.f64 (/.f64 z y) (pow.f64 (/.f64 z y) #s(literal -2 binary64))) (.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 0 binary64)))
(fma.f64 y (*.f64 (/.f64 z y) (pow.f64 (/.f64 z y) #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 y (.f64 (/.f64 (neg.f64 z) y) (neg.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)))) (.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 0 binary64)))
(fma.f64 y (*.f64 (/.f64 (neg.f64 z) y) (neg.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)))) #s(literal 0 binary64))
(fma.f64 y (neg.f64 (.f64 (/.f64 (neg.f64 z) y) (pow.f64 (/.f64 z y) #s(literal -2 binary64)))) (.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 0 binary64)))
(fma.f64 y (neg.f64 (*.f64 (/.f64 (neg.f64 z) y) (pow.f64 (/.f64 z y) #s(literal -2 binary64)))) #s(literal 0 binary64))
(fma.f64 y (/.f64 y z) (*.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 0 binary64)))
(fma.f64 y (/.f64 y z) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (/.f64 (neg.f64 y) z) y)) (/.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64)) (.f64 (/.f64 (neg.f64 y) z) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64))) (/.f64 (pow.f64 (*.f64 (/.f64 (neg.f64 y) z) y) #s(literal 3 binary64)) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (/.f64 z y) #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 (neg.f64 y) z) #s(literal -3 binary64)) y) (pow.f64 (/.f64 z y) #s(literal 4 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (pow.f64 (/.f64 (neg.f64 y) z) #s(literal -3 binary64)) y)) (/.f64 (.f64 z z) (*.f64 (pow.f64 (/.f64 (neg.f64 y) z) #s(literal -3 binary64)) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (.f64 (/.f64 (neg.f64 z) y) z) #s(literal 2 binary64))) (/.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (neg.f64 z) y) z) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 y) z) y))
(exp.f64 (log.f64 (/.f64 (*.f64 y y) z)))
(+.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 0 binary64)) (/.f64 (.f64 y y) z))
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 y y) z))
(+.f64 (/.f64 (.f64 y y) z) (.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 0 binary64)))
(+.f64 (/.f64 (*.f64 y y) z) #s(literal 0 binary64))

eval426.0ms (8%)

Memory: 53.7MiB live, 437.8MiB allocated
Compiler: Compiled 27 044 to 2 336 computations (91.4% saved)

prune115.0ms (2.2%)

Memory

-27.1MiB live, 116.5MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	1 879	1	1 880
Fresh	0	0	0
Picked	1	3	4
Done	0	3	3
Total	1 880	7	1 887

Accuracy

100.0%

Counts

1 887 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 y z) y x)
✓	93.0%	(+.f64 x (/.f64 (*.f64 y y) z))
✓	47.7%	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
✓	54.6%	#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
✓	54.6%	#s(approx (+ x (/ (* y y) z)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) y)))
▶	33.2%	#s(approx (+ x (/ (* y y) z)) (.f64 (/.f64 z y) (.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) y)))
✓	54.6%	#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))

Compiler

Compiled 51 to 46 computations (9.8% saved)

simplify233.0ms (4.4%)

Memory

-4.1MiB live, 111.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) y)
cost-diff	0	(/.f64 z y)
cost-diff	0	#s(approx (+ x (/ (* y y) z)) (.f64 (/.f64 z y) (.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) y)))
cost-diff	7488	(.f64 (/.f64 z y) (.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) y))

Rules

5 980×	`lower-*.f32`
5 976×	`lower-*.f64`
2 420×	`lower-/.f32`
2 418×	`lower-/.f64`
2 372×	`lower-pow.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	48
0	16	48
1	25	48
2	42	40
3	66	40
4	82	40
5	89	36
6	205	36
7	699	36
8	2030	36
9	2192	36
10	2231	36
11	2285	36
12	2358	36
13	2450	36
14	3736	36
15	4215	36
16	4612	36
17	5136	36
18	5806	36
19	6123	36
20	6278	36
21	6433	36
22	6536	36
23	6640	36
24	7391	36
25	7823	36
26	7954	36
0	8019	35

Stop Event

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

Calls

Call 1

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

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

localize88.0ms (1.6%)

Memory

-20.4MiB live, 63.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.26791000976844204	(pow.f64 (/.f64 z y) #s(literal -2 binary64))
accuracy	1.1387044463497316	(*.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) y)
accuracy	25.391264260540538	(.f64 (/.f64 z y) (.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) y))
accuracy	28.978169775390864	#s(approx (+ x (/ (* y y) z)) (.f64 (/.f64 z y) (.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) y)))

Samples

81.0ms

256×

valid

Compiler

Compiled 38 to 13 computations (65.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-mult: 31.0ms (51.4% of total)

ival-add: 22.0ms (36.5% of total)

ival-div: 3.0ms (5% of total)

ival-pow: 3.0ms (5% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.3%)

Memory

25.2MiB live, 25.2MiB allocated

Counts

5 → 132

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	((* (/ z y) (* (pow (/ z y) -2) y)) (+ x (/ (* y y) z)) (/ z y) (* (pow (/ z y) -2) y) (pow (/ z y) -2))
2.0ms	y	@	inf	((* (/ z y) (* (pow (/ z y) -2) y)) (+ x (/ (* y y) z)) (/ z y) (* (pow (/ z y) -2) y) (pow (/ z y) -2))
2.0ms	y	@	0	((* (/ z y) (* (pow (/ z y) -2) y)) (+ x (/ (* y y) z)) (/ z y) (* (pow (/ z y) -2) y) (pow (/ z y) -2))
2.0ms	z	@	0	((* (/ z y) (* (pow (/ z y) -2) y)) (+ x (/ (* y y) z)) (/ z y) (* (pow (/ z y) -2) y) (pow (/ z y) -2))
1.0ms	z	@	inf	((* (/ z y) (* (pow (/ z y) -2) y)) (+ x (/ (* y y) z)) (/ z y) (* (pow (/ z y) -2) y) (pow (/ z y) -2))

simplify129.0ms (2.4%)

Memory

-14.2MiB live, 104.9MiB allocated

Algorithm

1×	egg-herbie

Rules

3 812×	`lower-fma.f64`
3 812×	`lower-fma.f32`
3 464×	`lower-*.f64`
3 464×	`lower-*.f32`
1 418×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	748
1	67	748
2	170	748
3	522	748
4	2315	748
5	4241	748
6	6542	748
0	8052	721

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 127

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

Outputs
(/ (pow y 2) z)
(/.f64 (*.f64 y y) z)
(/ (pow y 2) z)
(/.f64 (*.f64 y y) z)
(/ (pow y 2) z)
(/.f64 (*.f64 y y) z)
(/ (pow y 2) z)
(/.f64 (*.f64 y y) z)
(/ (pow y 2) z)
(/.f64 (*.f64 y y) z)
(/ (+ (* 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 3) (pow z 2))
(/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) z)
(/ (pow y 3) (pow z 2))
(/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) z)
(/ (pow y 3) (pow z 2))
(/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) z)
(/ (pow y 3) (pow z 2))
(/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) z)
(/ (pow y 2) (pow z 2))
(/.f64 (/.f64 (*.f64 y y) z) z)
(/ (pow y 2) (pow z 2))
(/.f64 (/.f64 (*.f64 y y) z) z)
(/ (pow y 2) (pow z 2))
(/.f64 (/.f64 (*.f64 y y) z) z)
(/ (pow y 2) (pow z 2))
(/.f64 (/.f64 (*.f64 y y) z) 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)
(/ (pow y 3) (pow z 2))
(/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) z)
(/ (pow y 3) (pow z 2))
(/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) z)
(/ (pow y 3) (pow z 2))
(/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) z)
(/ (pow y 3) (pow z 2))
(/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) z)
(/ (pow y 2) (pow z 2))
(/.f64 (/.f64 (*.f64 y y) z) z)
(/ (pow y 2) (pow z 2))
(/.f64 (/.f64 (*.f64 y y) z) z)
(/ (pow y 2) (pow z 2))
(/.f64 (/.f64 (*.f64 y y) z) z)
(/ (pow y 2) (pow z 2))
(/.f64 (/.f64 (*.f64 y y) z) 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)
(/ (pow y 3) (pow z 2))
(/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) z)
(/ (pow y 3) (pow z 2))
(/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) z)
(/ (pow y 3) (pow z 2))
(/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) z)
(/ (pow y 3) (pow z 2))
(/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) z)
(/ (pow y 2) (pow z 2))
(/.f64 (/.f64 (*.f64 y y) z) z)
(/ (pow y 2) (pow z 2))
(/.f64 (/.f64 (*.f64 y y) z) z)
(/ (pow y 2) (pow z 2))
(/.f64 (/.f64 (*.f64 y y) z) z)
(/ (pow y 2) (pow z 2))
(/.f64 (/.f64 (*.f64 y y) z) 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)
(/ (pow y 3) (pow z 2))
(/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) z)
(/ (pow y 3) (pow z 2))
(/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) z)
(/ (pow y 3) (pow z 2))
(/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) z)
(/ (pow y 3) (pow z 2))
(/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) z)
(/ (pow y 2) (pow z 2))
(/.f64 (/.f64 (*.f64 y y) z) z)
(/ (pow y 2) (pow z 2))
(/.f64 (/.f64 (*.f64 y y) z) z)
(/ (pow y 2) (pow z 2))
(/.f64 (/.f64 (*.f64 y y) z) z)
(/ (pow y 2) (pow z 2))
(/.f64 (/.f64 (*.f64 y y) z) 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)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ (pow y 3) (pow z 2))
(/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) z)
(/ (pow y 3) (pow z 2))
(/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) z)
(/ (pow y 3) (pow z 2))
(/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) z)
(/ (pow y 3) (pow z 2))
(/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) z)
(/ (pow y 2) (pow z 2))
(/.f64 (/.f64 (*.f64 y y) z) z)
(/ (pow y 2) (pow z 2))
(/.f64 (/.f64 (*.f64 y y) z) z)
(/ (pow y 2) (pow z 2))
(/.f64 (/.f64 (*.f64 y y) z) z)
(/ (pow y 2) (pow z 2))
(/.f64 (/.f64 (*.f64 y y) z) 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)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ (pow y 3) (pow z 2))
(/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) z)
(/ (pow y 3) (pow z 2))
(/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) z)
(/ (pow y 3) (pow z 2))
(/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) z)
(/ (pow y 3) (pow z 2))
(/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) z)
(/ (pow y 2) (pow z 2))
(/.f64 (/.f64 (*.f64 y y) z) z)
(/ (pow y 2) (pow z 2))
(/.f64 (/.f64 (*.f64 y y) z) z)
(/ (pow y 2) (pow z 2))
(/.f64 (/.f64 (*.f64 y y) z) z)
(/ (pow y 2) (pow z 2))
(/.f64 (/.f64 (*.f64 y y) z) z)
(/ (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)

rewrite194.0ms (3.6%)

Memory

4.3MiB live, 197.8MiB allocated

Rules

3 784×	`lower-fma.f64`
3 784×	`lower-fma.f32`
3 580×	`lower-*.f32`
3 576×	`lower-*.f64`
1 926×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	45
0	16	45
1	60	45
2	390	33
3	5467	33
0	8736	32

Stop Event

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

Counts

5 → 272

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) y) #s(literal 1 binary64)) (/.f64 z y))
(.f64 (/.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) y) (neg.f64 y)) (neg.f64 z))
(.f64 (.f64 z (pow.f64 z #s(literal -2 binary64))) (*.f64 y y))
(.f64 (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 z y) (/.f64 (*.f64 y y) z)) (/.f64 y z))
(.f64 (.f64 y (sqrt.f64 (/.f64 y z))) (sqrt.f64 (/.f64 y z)))
(.f64 (.f64 z (/.f64 y z)) (/.f64 y z))
(*.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -1/2 binary64)))
(.f64 (/.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) y) (sqrt.f64 (/.f64 y z))) (pow.f64 (/.f64 y z) #s(literal -1/2 binary64)))
(.f64 (/.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) y) (pow.f64 z #s(literal -1 binary64))) (pow.f64 y #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) y) #s(literal -1 binary64)) (/.f64 (neg.f64 z) y))
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(*.f64 (/.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) y) y)
(*.f64 (sqrt.f64 (/.f64 y z)) (pow.f64 (/.f64 y z) #s(literal 3/2 binary64)))
(.f64 (.f64 (/.f64 (neg.f64 y) z) y) (/.f64 #s(literal -1 binary64) z))
(.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) y))
(.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (.f64 y y) z))
(*.f64 (/.f64 y z) (/.f64 y z))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal -2 binary64)))
(.f64 (/.f64 (.f64 y y) z) (/.f64 (/.f64 y z) y))
(.f64 (/.f64 (.f64 y y) z) (pow.f64 z #s(literal -1 binary64)))
(.f64 (.f64 y y) (pow.f64 z #s(literal -2 binary64)))
(.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) y) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 y (/.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) y))
(pow.f64 (.f64 (.f64 y (pow.f64 (/.f64 y z) #s(literal -2 binary64))) (pow.f64 y #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (.f64 y (pow.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) y) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (.f64 (pow.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) y) #s(literal -1 binary64)) y) #s(literal -1 binary64))
(pow.f64 (.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 y (pow.f64 (/.f64 y z) #s(literal -2 binary64)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (exp.f64 (log.f64 y))) #s(literal 2 binary64))
(pow.f64 (*.f64 (exp.f64 (log.f64 y)) (pow.f64 z #s(literal -1 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) #s(literal -1 binary64)) (log.f64 (/.f64 y z)))
(pow.f64 (/.f64 y (*.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) y)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 y z) #s(literal -4 binary64)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 (/.f64 z y)))
(pow.f64 (sqrt.f64 (/.f64 y z)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (/.f64 y z) #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 y z) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 z y) #s(literal -2 binary64))
(/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 #s(literal -1 binary64))) (pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 (/.f64 (neg.f64 y) z))))
(/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 (neg.f64 z))) (pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 (neg.f64 y))))
(/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 z)) (pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 y)))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) y)) (neg.f64 y))
(/.f64 (.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) y)) (neg.f64 y))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (.f64 (/.f64 z y) (neg.f64 z)))
(/.f64 (.f64 (neg.f64 y) #s(literal 1 binary64)) (.f64 (neg.f64 z) (/.f64 z y)))
(/.f64 (*.f64 (/.f64 (neg.f64 y) z) y) (neg.f64 z))
(/.f64 #s(literal -1 binary64) (.f64 z (.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 y z) #s(literal -2 binary64))))
(/.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (/.f64 z y) y))
(/.f64 (/.f64 y z) (/.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal -2 binary64)))
(/.f64 (.f64 (neg.f64 y) y) (.f64 (neg.f64 z) z))
(/.f64 (/.f64 (*.f64 y y) z) z)
(/.f64 (.f64 y y) (.f64 z z))
(/.f64 (*.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) y) y)
(/.f64 y (*.f64 (/.f64 z y) z))
(/.f64 y (*.f64 z (/.f64 z y)))
(neg.f64 (.f64 (pow.f64 z #s(literal -1 binary64)) (.f64 (/.f64 (neg.f64 y) z) y)))
(exp.f64 (fma.f64 (log.f64 z) #s(literal -2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 z) #s(literal -1 binary64) (*.f64 (log.f64 (/.f64 (/.f64 z y) y)) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 (/.f64 (/.f64 z y) y)) #s(literal -1 binary64) (*.f64 (log.f64 z) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (neg.f64 (log.f64 y)) #s(literal -2 binary64) (*.f64 (log.f64 z) #s(literal -2 binary64))))
(exp.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) (*.f64 (log.f64 z) #s(literal -2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 y z)) #s(literal -1 binary64)) #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -2 binary64))) (log.f64 (/.f64 z y))))
(exp.f64 (log.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64))))
(exp.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 y z))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal -2 binary64)))

eval85.0ms (1.6%)

Memory: 17.5MiB live, 93.3MiB allocated
Compiler: Compiled 6 218 to 1 165 computations (81.3% saved)

prune63.0ms (1.2%)

Memory

-22.9MiB live, 36.7MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	461	1	462
Fresh	0	0	0
Picked	1	0	1
Done	0	6	6
Total	462	7	469

Accuracy

100.0%

Counts

469 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 y z) y x)
✓	93.0%	(+.f64 x (/.f64 (*.f64 y y) z))
✓	47.7%	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
✓	54.6%	#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
✓	54.6%	#s(approx (+ x (/ (* y y) z)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) y)))
	33.2%	#s(approx (+ x (/ (* y y) z)) (.f64 (/.f64 z y) (.f64 (*.f64 (/.f64 y z) (/.f64 y z)) y)))
✓	54.6%	#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))

Compiler

Compiled 173 to 92 computations (46.8% saved)

regimes72.0ms (1.4%)

Memory

11.9MiB live, 51.4MiB allocated

Counts

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

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

Calls

6 calls:

51.0ms	(/.f64 (*.f64 y y) z)
4.0ms	y
4.0ms	x
4.0ms	z
4.0ms	(+.f64 x (/.f64 (*.f64 y y) z))

Results

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

Compiler

Compiled 18 to 24 computations (-33.3% saved)

regimes55.0ms (1%)

Memory

-14.9MiB live, 23.3MiB allocated

Accuracy

Total -4.5b remaining (-15.4%)

Threshold costs -4.5b (-15.4%)

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:

47.0ms	(*.f64 y y)
2.0ms	y
1.0ms	(+.f64 x (/.f64 (*.f64 y y) z))
1.0ms	z
1.0ms	x

Results

Accuracy	Segments	Branch
54.6%	1	`x`
54.6%	1	`y`
54.6%	1	`z`
54.6%	1	`(+.f64 x (/.f64 (*.f64 y y) z))`
54.6%	1	`(/.f64 (*.f64 y y) z)`
54.6%	1	`(*.f64 y y)`

Compiler

Compiled 18 to 24 computations (-33.3% saved)

simplify86.0ms (1.6%)

Memory

-24.9MiB live, 58.0MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`-commutative-binary64-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	11	19

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness465.0ms (8.8%)

Memory

41.3MiB live, 352.2MiB allocated

Rules

7 606×	`lower-fma.f32`
7 600×	`lower-fma.f64`
4 568×	`lower-fma.f64`
4 568×	`lower-fma.f32`
3 642×	`lower-*.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	21	77
0	37	69
1	148	68
2	885	68
0	9225	68
0	6	15
0	9	15
1	35	15
2	269	15
3	4534	15
0	8159	14

Stop Event

1×	fuel
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 36 to 26 computations (27.8% saved)

preprocess49.0ms (0.9%)

Memory: -30.2MiB live, 127.4MiB allocated
Remove: (abs y)
Compiler: Compiled 64 to 48 computations (25% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze39.0ms (0.7%)

sample946.0ms (17.8%)

explain70.0ms (1.3%)

preprocess54.0ms (1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize54.0ms (1%)

series13.0ms (0.2%)

simplify107.0ms (2%)

rewrite320.0ms (6%)

eval24.0ms (0.5%)

prune8.0ms (0.2%)

simplify44.0ms (0.8%)

localize76.0ms (1.4%)

series21.0ms (0.4%)

simplify143.0ms (2.7%)

rewrite186.0ms (3.5%)

eval155.0ms (2.9%)

prune46.0ms (0.9%)

simplify159.0ms (3%)

localize98.0ms (1.8%)

series20.0ms (0.4%)

simplify223.0ms (4.2%)

rewrite430.0ms (8.1%)

eval426.0ms (8%)

prune115.0ms (2.2%)

simplify233.0ms (4.4%)

localize88.0ms (1.6%)

series13.0ms (0.3%)

simplify129.0ms (2.4%)

rewrite194.0ms (3.6%)

eval85.0ms (1.6%)

prune63.0ms (1.2%)

regimes72.0ms (1.4%)

regimes55.0ms (1%)

simplify86.0ms (1.6%)

soundness465.0ms (8.8%)

preprocess49.0ms (0.9%)

end0.0ms (0%)

Profiling