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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze139.0ms (2.8%)

Memory

7.0MiB live, 85.2MiB 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)

sample822.0ms (16.6%)

Memory

4.9MiB live, 1 007.6MiB allocated

Samples

441.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 204.0ms

ival-mult: 99.0ms (48.5% of total)

ival-div: 55.0ms (27% of total)

ival-add: 41.0ms (20.1% of total)

ival-true: 6.0ms (2.9% of total)

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

Bogosity

explain78.0ms (1.6%)

Memory

8.5MiB live, 166.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
36	-	3	(2.5225711651171073e-88 -2.143528362164005e-159 1.5261155080283135e-213)	`(/.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	21	0
↳	`(*.f64 y y)`	overflow	57
`/.f64`	`(/.f64 (*.f64 y y) z)`	u/n	3	0
↳	`(*.f64 y y)`	underflow	65

Confusion

	Predicted +	Predicted -
+	23	0
-	1	232

Precision

0.9583333333333334

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	23	0	0
-	1	0	232

Precision?

0.9583333333333334

Recall?

1.0

Freqs

test

number	freq
0	232
1	24

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

38.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 14.0ms (68.4% of total)

ival-div: 3.0ms (14.7% of total)

ival-add: 2.0ms (9.8% of total)

ival-true: 1.0ms (4.9% of total)

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

preprocess58.0ms (1.2%)

Memory

-8.6MiB live, 65.4MiB 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.8%	(+.f64 x (/.f64 (*.f64 y y) z))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify4.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB 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

localize61.0ms (1.2%)

Memory

-22.6MiB live, 62.1MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y y)
accuracy	0.0078125	(+.f64 x (/.f64 (*.f64 y y) z))
accuracy	8.232410213685881	(/.f64 (*.f64 y y) z)

Samples

36.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 26.0ms (90.1% of total)

ival-div: 2.0ms (6.9% of total)

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

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

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

series7.0ms (0.1%)

Memory

15.9MiB live, 15.9MiB allocated

Counts

3 → 72

Calls

Call 1

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

Inputs

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

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

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

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

Calls

9 calls:

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

simplify259.0ms (5.2%)

Memory

-2.8MiB live, 114.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	376
1	58	376
2	150	376
3	489	376
4	2250	376
5	4093	376
6	6089	376
7	7810	376
0	8095	349

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 67

Calls

Call 1

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

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

rewrite236.0ms (4.8%)

Memory

1.3MiB live, 155.8MiB 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 (-.f64 (hypot.f64 (/.f64 (.f64 y y) z) x) (.f64 (/.f64 (.f64 y y) z) x)) #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 (-.f64 (hypot.f64 (/.f64 (.f64 y y) z) x) (.f64 (/.f64 (.f64 y y) z) x))) #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 (-.f64 (hypot.f64 (/.f64 (.f64 y y) z) x) (.f64 (/.f64 (.f64 y y) z) x)) (/.f64 (fma.f64 (/.f64 y z) y x) (-.f64 (hypot.f64 (/.f64 (.f64 y y) z) x) (.f64 (/.f64 (*.f64 y y) z) x))))
(.f64 (-.f64 (hypot.f64 (/.f64 (.f64 y y) z) x) (.f64 (/.f64 (.f64 y y) z) x)) (.f64 (fma.f64 (/.f64 y z) y x) (pow.f64 (-.f64 (hypot.f64 (/.f64 (.f64 y y) z) x) (.f64 (/.f64 (.f64 y y) z) 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))) (pow.f64 (-.f64 (hypot.f64 (/.f64 (.f64 y y) z) x) (.f64 (/.f64 (.f64 y y) z) x)) #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))) (hypot.f64 (/.f64 (.f64 y y) z) x))
(/.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))) (fma.f64 (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64)) (hypot.f64 (/.f64 (*.f64 y y) z) x) (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 (-.f64 (hypot.f64 (/.f64 (.f64 y y) z) x) (.f64 (/.f64 (*.f64 y y) z) x)) #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 (-.f64 (hypot.f64 (/.f64 (.f64 y y) z) x) (.f64 (/.f64 (.f64 y y) z) x)) #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)) (-.f64 (hypot.f64 (/.f64 (.f64 y y) z) x) (.f64 (/.f64 (.f64 y y) z) x)))
(/.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 (-.f64 (hypot.f64 (/.f64 (.f64 y y) z) x) (.f64 (/.f64 (*.f64 y y) z) x)))))
(/.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 (hypot.f64 (/.f64 (.f64 y y) z) x) (-.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 (/.f64 (.f64 y y) z) #s(literal 2 binary64)) (hypot.f64 (/.f64 (.f64 y y) z) x) (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))) (-.f64 (hypot.f64 (/.f64 (.f64 y y) z) x) (.f64 (/.f64 (.f64 y y) z) x))))
(/.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))) (-.f64 (hypot.f64 (/.f64 (.f64 y y) z) x) (.f64 (/.f64 (.f64 y y) z) x))))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x (/.f64 (.f64 y y) z))) (.f64 (-.f64 x (/.f64 (.f64 y y) z)) (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)) (hypot.f64 (/.f64 (.f64 y y) z) x)))
(/.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)) (fma.f64 (pow.f64 (/.f64 (.f64 y y) z) #s(literal 2 binary64)) (hypot.f64 (/.f64 (*.f64 y y) z) x) (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 (-.f64 (hypot.f64 (/.f64 (.f64 y y) z) x) (.f64 (/.f64 (*.f64 y y) z) x)) (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 (-.f64 (hypot.f64 (/.f64 (.f64 y y) z) 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))) (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 (-.f64 (hypot.f64 (/.f64 (.f64 y y) z) x) (.f64 (/.f64 (*.f64 y y) z) x))))
(/.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))) (-.f64 (hypot.f64 (/.f64 (.f64 y y) z) x) (.f64 (/.f64 (*.f64 y y) z) x)))
(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)))) (-.f64 (hypot.f64 (/.f64 (.f64 y y) z) x) (.f64 (/.f64 (*.f64 y y) z) x))))
(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 (-.f64 (hypot.f64 (/.f64 (.f64 y y) z) x) (.f64 (/.f64 (*.f64 y y) z) x)))))
(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)))

eval70.0ms (1.4%)

Memory: -16.3MiB live, 34.4MiB allocated
Compiler: Compiled 3 124 to 423 computations (86.5% saved)

prune7.0ms (0.1%)

Memory

18.2MiB live, 18.2MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	209	5	214
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	210	5	215

Accuracy

100.0%

Counts

215 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (/.f64 y z) y x)
▶	99.8%	(fma.f64 (neg.f64 y) (*.f64 y (/.f64 #s(literal -1 binary64) z)) x)
▶	99.9%	(+.f64 x (/.f64 y (/.f64 z y)))
▶	91.7%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y y))))
▶	44.6%	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))

Compiler

Compiled 74 to 66 computations (10.8% saved)

simplify63.0ms (1.3%)

Memory

-15.3MiB live, 20.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	-384	(/.f64 z (*.f64 y y))
cost-diff	0	(*.f64 y y)
cost-diff	128	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y y))))
cost-diff	1088	(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y y)))
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

862×	`times-frac`
478×	`associate-r`
400×	`associate-/r*`
390×	`div-sub`
368×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	104
0	39	94
1	59	93
2	97	93
3	173	93
4	370	93
5	530	93
6	1037	93
7	1707	93
8	2299	93
9	2439	93
10	2475	93
11	2507	93
12	2507	93
0	2507	93

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

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

localize112.0ms (2.3%)

Memory

-1.1MiB live, 70.9MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y y)
accuracy	0.0078125	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y y))))
accuracy	0.1422241833442879	(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y y)))
accuracy	8.375431459268578	(/.f64 z (*.f64 y y))
accuracy	0	(/.f64 #s(literal -1 binary64) z)
accuracy	0	(neg.f64 y)
accuracy	0.08203125	(fma.f64 (neg.f64 y) (*.f64 y (/.f64 #s(literal -1 binary64) z)) x)
accuracy	0.19140625	(*.f64 y (/.f64 #s(literal -1 binary64) z))
accuracy	0	(/.f64 y z)
accuracy	0.08203125	(fma.f64 (/.f64 y z) y x)
accuracy	0	(*.f64 y y)
accuracy	8.232410213685881	(/.f64 (*.f64 y y) z)
accuracy	30.957343551876686	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
accuracy	0	(/.f64 z y)
accuracy	0.0078125	(+.f64 x (/.f64 y (/.f64 z y)))
accuracy	0.1328125	(/.f64 y (/.f64 z y))

Samples

78.0ms

256×

valid

Compiler

Compiled 102 to 24 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-add: 43.0ms (68.9% of total)

ival-div: 12.0ms (19.2% of total)

ival-mult: 6.0ms (9.6% of total)

ival-neg: 1.0ms (1.6% 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

16.4MiB live, 16.4MiB allocated

Counts

15 → 384

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

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

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	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 (* y y))) (+ x (/ 1 (/ z (* y y)))) (/ z (* 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 (* y y))) (+ x (/ 1 (/ z (* y y)))) (/ z (* y y)))
2.0ms	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 (* y y))) (+ x (/ 1 (/ z (* y y)))) (/ z (* y y)))
2.0ms	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 (* y y))) (+ x (/ 1 (/ z (* y y)))) (/ z (* 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 (* y y))) (+ x (/ 1 (/ z (* y y)))) (/ z (* y y)))

simplify168.0ms (3.4%)

Memory

11.5MiB live, 93.4MiB allocated

Algorithm

1×	egg-herbie

Rules

4 192×	`lower-fma.f64`
4 192×	`lower-fma.f32`
3 434×	`lower-*.f64`
3 434×	`lower-*.f32`
1 526×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	1916
1	69	1916
2	163	1916
3	495	1916
4	2175	1916
5	4067	1916
6	6184	1916
7	7907	1916
0	8177	1781

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 359

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

rewrite445.0ms (9%)

Memory

-11.8MiB live, 379.3MiB allocated

Rules

8 192×	`lower-fma.f32`
8 188×	`lower-fma.f64`
5 088×	`lower-/.f32`
5 074×	`lower-/.f64`
4 608×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	85
0	39	75
1	150	74
2	1001	74
0	8272	74

Stop Event

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

Counts

15 → 806

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

Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) (/.f64 (neg.f64 y) z))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) (/.f64 (neg.f64 y) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 y (pow.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 y (pow.f64 (neg.f64 y) #s(literal -1 binary64))) (/.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 y #s(literal -1 binary64)) (/.f64 (neg.f64 y) z))
(*.f64 (pow.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 y) z))
(.f64 (pow.f64 (pow.f64 (.f64 (neg.f64 y) y) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 y z))
(.f64 (.f64 (/.f64 (neg.f64 y) z) #s(literal -1 binary64)) y)
(*.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 y #s(literal 1 binary64)) (/.f64 y z))
(.f64 (.f64 (/.f64 (neg.f64 y) z) y) #s(literal -1 binary64))
(.f64 (.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) y) (/.f64 y z))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 y) (neg.f64 (pow.f64 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)) (.f64 y y))
(.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) z))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) z))
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 y) #s(literal -1 binary64))))
(*.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 y (neg.f64 (pow.f64 y #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (neg.f64 y) (pow.f64 y #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (.f64 y y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y (pow.f64 (neg.f64 y) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (pow.f64 (.f64 (neg.f64 y) y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) z) (.f64 (neg.f64 y) y))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 y) z) (pow.f64 y #s(literal -1 binary64))))
(.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) (neg.f64 (pow.f64 y #s(literal -1 binary64)))))
(*.f64 (/.f64 y z) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 y z) (/.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 y z) y)
(.f64 (/.f64 (.f64 y y) z) #s(literal 1 binary64))
(.f64 (.f64 y y) (pow.f64 z #s(literal -1 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 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (/.f64 z y)) #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (neg.f64 z) #s(literal -3 binary64)))) (fma.f64 (/.f64 #s(literal 0 binary64) (/.f64 z y)) (/.f64 #s(literal 0 binary64) (/.f64 z y)) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 (/.f64 #s(literal 0 binary64) (/.f64 z y)) (*.f64 (/.f64 (neg.f64 y) z) y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (neg.f64 z) #s(literal -3 binary64)))) (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 y) z) y)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (/.f64 (neg.f64 z) y))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 y) y))) (neg.f64 (neg.f64 (neg.f64 z))))
(/.f64 (neg.f64 (.f64 (.f64 (neg.f64 y) y) #s(literal 1 binary64))) (neg.f64 (*.f64 z #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 (neg.f64 y) y) #s(literal 1 binary64))) (neg.f64 (neg.f64 z)))
(/.f64 (neg.f64 (.f64 (.f64 (neg.f64 y) y) #s(literal -1 binary64))) (neg.f64 z))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) y))) (neg.f64 (neg.f64 z)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y))) (/.f64 z y))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) y)) (/.f64 (neg.f64 z) y))
(/.f64 (neg.f64 (.f64 (.f64 y y) #s(literal 1 binary64))) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (/.f64 (neg.f64 z) y))
(/.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 (neg.f64 (/.f64 y z)) (neg.f64 (pow.f64 y #s(literal -1 binary64))))
(/.f64 (neg.f64 (/.f64 (*.f64 y y) z)) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (neg.f64 y) y)) (neg.f64 (.f64 z #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 y) y)) (neg.f64 (neg.f64 z)))
(/.f64 (neg.f64 (neg.f64 y)) (/.f64 z y))
(/.f64 (.f64 (.f64 (neg.f64 y) y) #s(literal 1 binary64)) (*.f64 z #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 (neg.f64 y) y) #s(literal 1 binary64)) (neg.f64 z))
(/.f64 (.f64 (.f64 (neg.f64 y) y) #s(literal -1 binary64)) z)
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) y)) (neg.f64 z))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (/.f64 (neg.f64 z) y))
(/.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 z y))
(/.f64 (.f64 (.f64 y y) #s(literal 1 binary64)) z)
(/.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 z y))
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -2 binary64)))
(/.f64 (.f64 (neg.f64 y) y) (.f64 z #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 y) y) (neg.f64 z))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 z #s(literal -1 binary64)) (.f64 (*.f64 (neg.f64 y) y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) (.f64 (.f64 (neg.f64 y) y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 z (.f64 (.f64 (neg.f64 y) y) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 z) y) (*.f64 #s(literal 1 binary64) (neg.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 z (.f64 (.f64 y y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) (*.f64 y #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 z #s(literal -1 binary64)) (.f64 (neg.f64 y) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) y))
(/.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (pow.f64 y #s(literal -2 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64))))
(/.f64 (neg.f64 y) (/.f64 (neg.f64 z) y))
(/.f64 (/.f64 y z) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (/.f64 (*.f64 y y) z) #s(literal 1 binary64))
(/.f64 (*.f64 y y) z)
(/.f64 y (/.f64 z y))
(neg.f64 (*.f64 (/.f64 (neg.f64 y) z) y))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 z #s(literal -1 binary64))) (/.f64 (.f64 y y) (*.f64 z #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (pow.f64 y #s(literal -1 binary64))) (/.f64 (/.f64 (neg.f64 y) z) (pow.f64 y #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (/.f64 z y)) #s(literal 1 binary64)) (/.f64 (*.f64 (/.f64 (neg.f64 y) z) y) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 z y)) (*.f64 (/.f64 (neg.f64 y) z) y))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (/.f64 (neg.f64 y) z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (/.f64 (neg.f64 y) z) y) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 y) z) y))
(exp.f64 (log.f64 (/.f64 (*.f64 y y) z)))
(.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 (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) (pow.f64 (-.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 (-.f64 (hypot.f64 (/.f64 (.f64 y y) z) x) (.f64 (/.f64 (.f64 y y) z) 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))) (pow.f64 (-.f64 (hypot.f64 x (/.f64 (.f64 y y) z)) (.f64 (/.f64 (.f64 y y) z) x)) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) y x)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64)) (-.f64 (/.f64 (.f64 y y) z) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (-.f64 (/.f64 (.f64 y y) z) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64)) (-.f64 (/.f64 (.f64 y y) z) x)) (/.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64)) (-.f64 (/.f64 (.f64 y y) z) x)) (fma.f64 (/.f64 (.f64 x x) (-.f64 (/.f64 (.f64 y y) z) x)) (/.f64 (.f64 x x) (-.f64 (/.f64 (.f64 y y) z) x)) (.f64 (/.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64)) (-.f64 (/.f64 (.f64 y y) z) x)) (/.f64 (.f64 x x) (-.f64 (/.f64 (*.f64 y y) z) x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (-.f64 x (/.f64 (.f64 y y) z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64)) (-.f64 x (/.f64 (.f64 y y) z))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x x) (-.f64 x (/.f64 (.f64 y y) z))) (/.f64 (.f64 x x) (-.f64 x (/.f64 (.f64 y y) z))) (fma.f64 (/.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64)) (-.f64 x (/.f64 (.f64 y y) z))) (/.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64)) (-.f64 x (/.f64 (.f64 y y) z))) (.f64 (/.f64 (.f64 x x) (-.f64 x (/.f64 (.f64 y y) z))) (/.f64 (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64)) (-.f64 x (/.f64 (*.f64 y y) z)))))))
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(*.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 y) z) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 z) y))
(.f64 (pow.f64 (.f64 (neg.f64 y) y) #s(literal -1 binary64)) (*.f64 z #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 y) y) #s(literal -1 binary64)) (neg.f64 z))
(*.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal -2 binary64)) z)
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 z y))
(.f64 (.f64 z #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 y)))
(.f64 (.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 y #s(literal -1 binary64))) y))
(.f64 (.f64 z #s(literal -1 binary64)) (/.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) y))
(.f64 (.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 z #s(literal -1 binary64)) (pow.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 z) y) (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (neg.f64 z) (pow.f64 (.f64 (neg.f64 y) y) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 z y) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) y))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 y) z)))
(.f64 #s(literal -1 binary64) (pow.f64 (.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (pow.f64 (.f64 (/.f64 (neg.f64 y) z) y) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64))))
(*.f64 (/.f64 z y) (/.f64 (neg.f64 (pow.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 z y) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 z y) (pow.f64 y #s(literal -1 binary64)))
(*.f64 z (pow.f64 y #s(literal -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 z #s(literal 1 binary64))) (*.f64 (neg.f64 y) y))
(/.f64 (neg.f64 (.f64 z #s(literal 1 binary64))) (.f64 (neg.f64 y) y))
(/.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (*.f64 (neg.f64 y) y))))
(/.f64 (pow.f64 z #s(literal 1 binary64)) (*.f64 y y))
(/.f64 (.f64 z #s(literal 1 binary64)) (.f64 y y))
(/.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) z))
(/.f64 (neg.f64 (pow.f64 y #s(literal -1 binary64))) (neg.f64 (/.f64 y z)))
(/.f64 (neg.f64 (neg.f64 z)) (neg.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) y))))
(/.f64 (neg.f64 (neg.f64 z)) (neg.f64 (*.f64 (neg.f64 y) y)))
(/.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 z #s(literal -1 binary64)))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 y z))
(/.f64 (/.f64 (neg.f64 z) y) (neg.f64 (*.f64 #s(literal 1 binary64) y)))
(/.f64 (/.f64 (neg.f64 z) y) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 z) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) y)))
(/.f64 (neg.f64 z) (*.f64 (neg.f64 y) y))
(/.f64 (/.f64 (/.f64 z y) y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (pow.f64 z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (.f64 z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 y y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) z))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y y) z)))
(/.f64 (/.f64 z y) (neg.f64 (neg.f64 y)))
(/.f64 (/.f64 z y) (*.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 z y) y)
(/.f64 z (*.f64 y y))
(neg.f64 (*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) y))) (/.f64 z (.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) y))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 y) y)) (.f64 (neg.f64 z) (pow.f64 y #s(literal -2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (/.f64 z y) y) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 z y) y)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 y y) z)) #s(literal -1 binary64)))
(exp.f64 (log.f64 (/.f64 (/.f64 z y) y)))

eval160.0ms (3.2%)

Memory: 22.5MiB live, 379.1MiB allocated
Compiler: Compiled 14 225 to 1 313 computations (90.8% saved)

prune43.0ms (0.9%)

Memory

13.7MiB live, 129.7MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	1 189	2	1 191
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	1 190	6	1 196

Accuracy

100.0%

Counts

1 196 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 y z) y x)
✓	99.8%	(fma.f64 (neg.f64 y) (*.f64 y (/.f64 #s(literal -1 binary64) z)) x)
✓	91.7%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y y))))
✓	44.6%	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
▶	51.5%	#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
▶	51.5%	#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))

Compiler

Compiled 42 to 39 computations (7.1% saved)

simplify6.0ms (0.1%)

Memory

-37.8MiB live, 8.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	46
0	16	46
1	19	46
0	19	44

Stop Event

1×	iter limit
1×	saturated
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 y (/.f64 z y)))
(/.f64 y (/.f64 z y))
y
(/.f64 z y)
z

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 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

localize26.0ms (0.5%)

Memory

14.8MiB live, 53.6MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 z y)
accuracy	0.1328125	(/.f64 y (/.f64 z y))
accuracy	30.957343551876686	#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
accuracy	0	(/.f64 y z)
accuracy	0.14453125	(*.f64 (/.f64 y z) y)
accuracy	30.957343551876686	#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))

Samples

20.0ms

256×

valid

Compiler

Compiled 36 to 12 computations (66.7% saved)

Precisions

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

ival-div: 6.0ms (52.6% of total)

ival-mult: 4.0ms (35.1% of total)

ival-add: 1.0ms (8.8% of total)

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

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

series9.0ms (0.2%)

Memory

-15.9MiB live, 23.2MiB allocated

Counts

6 → 168

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

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

Calls

9 calls:

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

simplify122.0ms (2.5%)

Memory

13.6MiB live, 180.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	824
1	60	824
2	153	824
3	490	824
4	2220	824
5	4055	824
6	6070	824
7	7857	824
0	8142	770

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 158

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

rewrite166.0ms (3.4%)

Memory

-13.4MiB live, 183.0MiB allocated

Rules

3 748×	`lower-fma.f64`
3 748×	`lower-fma.f32`
3 486×	`lower-*.f32`
3 484×	`lower-*.f64`
2 004×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	42
0	16	42
1	54	42
2	451	42
3	5718	42
0	8318	40

Stop Event

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

Counts

6 → 180

Calls

Call 1

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

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

eval81.0ms (1.6%)

Memory: 2.2MiB live, 83.5MiB allocated
Compiler: Compiled 2 801 to 422 computations (84.9% saved)

prune30.0ms (0.6%)

Memory

0.7MiB live, 39.7MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	336	2	338
Fresh	0	0	0
Picked	0	2	2
Done	2	2	4
Total	338	6	344

Accuracy

100.0%

Counts

344 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 y z) y x)
✓	44.6%	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
✓	51.5%	#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
▶	51.5%	#s(approx (+ x (/ (* y y) z)) (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))))
✓	51.5%	#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
▶	51.5%	#s(approx (+ x (/ (* y y) z)) (.f64 (.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y)) y))

Compiler

Compiled 42 to 41 computations (2.4% saved)

simplify41.0ms (0.8%)

Memory

2.7MiB live, 41.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal -1 binary64) y)
cost-diff	0	#s(approx (+ x (/ (* y y) z)) (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))))
cost-diff	384	(/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)))
cost-diff	448	(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))
cost-diff	0	(/.f64 #s(literal -1 binary64) z)
cost-diff	0	(.f64 (.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y)) y)
cost-diff	0	#s(approx (+ x (/ (* y y) z)) (.f64 (.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y)) y))
cost-diff	448	(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y))

Rules

762×	`times-frac`
368×	`lower-fma.f64`
368×	`lower-fma.f32`
304×	`lower-*.f32`
298×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	76
0	25	76
1	48	70
2	113	58
3	227	58
4	712	58
5	1534	58
6	1610	58
7	1735	58
8	1819	58
9	1840	58
0	1840	56

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize56.0ms (1.1%)

Memory

-1.1MiB live, 79.2MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 z)
accuracy	0.1328125	(/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)))
accuracy	0.2109375	(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))
accuracy	30.957343551876686	#s(approx (+ x (/ (* y y) z)) (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))))
accuracy	0	(neg.f64 y)
accuracy	0.14453125	(.f64 (.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y)) y)
accuracy	0.19140625	(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y))
accuracy	30.957343551876686	#s(approx (+ x (/ (* y y) z)) (.f64 (.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y)) y))

Samples

46.0ms

256×

valid

Compiler

Compiled 60 to 17 computations (71.7% saved)

Precisions

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

ival-mult: 19.0ms (59.1% of total)

ival-div: 10.0ms (31.1% of total)

ival-neg: 2.0ms (6.2% of total)

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

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.2%)

Memory

27.3MiB live, 27.3MiB allocated

Counts

10 → 216

Calls

Call 1

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

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

Calls

9 calls:

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

simplify188.0ms (3.8%)

Memory

-14.8MiB live, 160.0MiB allocated

Algorithm

1×	egg-herbie

Rules

4 576×	`lower-fma.f64`
4 576×	`lower-fma.f32`
3 312×	`lower-*.f64`
3 312×	`lower-*.f32`
1 486×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	944
1	68	944
2	158	944
3	501	944
4	2262	944
5	4166	944
6	6221	944
0	8050	890

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 206

Calls

Call 1

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

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

rewrite305.0ms (6.2%)

Memory

-14.3MiB live, 144.0MiB allocated

Rules

3 206×	`lower-fma.f64`
3 206×	`lower-fma.f32`
2 716×	`lower-*.f32`
2 710×	`lower-*.f64`
1 224×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	70
0	25	70
1	86	54
2	532	52
3	4766	50
0	9367	48

Stop Event

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

Counts

10 → 285

Calls

Call 1

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

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

eval88.0ms (1.8%)

Memory: -6.9MiB live, 66.1MiB allocated
Compiler: Compiled 4 701 to 941 computations (80% saved)

prune79.0ms (1.6%)

Memory

-10.6MiB live, 37.2MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	491	0	491
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	491	6	497

Accuracy

100.0%

Counts

497 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 y z) y x)
✓	44.6%	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
✓	51.5%	#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
✓	51.5%	#s(approx (+ x (/ (* y y) z)) (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))))
✓	51.5%	#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
✓	51.5%	#s(approx (+ x (/ (* y y) z)) (.f64 (.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y)) y))

Compiler

Compiled 116 to 73 computations (37.1% saved)

regimes21.0ms (0.4%)

Memory

32.0MiB live, 32.0MiB allocated

Counts

10 → 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)))
#s(approx (+ x (/ (* y y) z)) (.f64 (.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y)) y))
(fma.f64 (neg.f64 y) (*.f64 y (/.f64 #s(literal -1 binary64) z)) x)
(+.f64 x (/.f64 y (/.f64 z y)))
#s(approx (+ x (/ (* y y) z)) (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y y))))

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

Calls

6 calls:

4.0ms	z
4.0ms	x
3.0ms	y
3.0ms	(+.f64 x (/.f64 (*.f64 y y) z))
3.0ms	(*.f64 y y)

Results

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

Compiler

Compiled 18 to 24 computations (-33.3% saved)

regimes47.0ms (1%)

Memory

-8.9MiB live, 27.1MiB allocated

Counts

7 → 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)))
#s(approx (+ x (/ (* y y) z)) (.f64 (.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y)) y))
(fma.f64 (neg.f64 y) (*.f64 y (/.f64 #s(literal -1 binary64) z)) x)

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

Calls

6 calls:

33.0ms	(*.f64 y y)
3.0ms	x
3.0ms	y
3.0ms	z
3.0ms	(+.f64 x (/.f64 (*.f64 y y) z))

Results

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

Compiler

Compiled 18 to 24 computations (-33.3% saved)

regimes29.0ms (0.6%)

Memory

-19.5MiB live, 17.3MiB allocated

Accuracy

Total -4.5b remaining (-14.4%)

Threshold costs -4.5b (-14.4%)

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:

22.0ms	x
2.0ms	(*.f64 y y)
1.0ms	z
1.0ms	y
1.0ms	(+.f64 x (/.f64 (*.f64 y y) z))

Results

Accuracy	Segments	Branch
51.5%	1	`x`
51.5%	1	`y`
51.5%	1	`z`
51.5%	1	`(+.f64 x (/.f64 (*.f64 y y) z))`
51.5%	1	`(/.f64 (*.f64 y y) z)`
51.5%	1	`(*.f64 y y)`

Compiler

Compiled 18 to 24 computations (-33.3% saved)

simplify50.0ms (1%)

Memory

2.0MiB live, 39.8MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`-commutative-binary64-.f64`
2×	`+-commutative-binary64-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	26
1	15	26

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness596.0ms (12.1%)

Memory

-1.4MiB live, 285.3MiB allocated

Rules

8 192×	`lower-fma.f32`
8 188×	`lower-fma.f64`
5 088×	`lower-/.f32`
5 074×	`lower-/.f64`
4 608×	`lower-*.f32`

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	23	85
0	39	75
1	150	74
2	1001	74
0	8272	74
0	6	15
0	9	15
1	35	15
2	269	15
3	4534	15
0	8159	14

Stop Event

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

Compiler

Compiled 57 to 38 computations (33.3% saved)

preprocess240.0ms (4.9%)

Memory: 3.4MiB live, 122.1MiB allocated
Remove: (abs y)
Compiler: Compiled 94 to 68 computations (27.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze139.0ms (2.8%)

sample822.0ms (16.6%)

explain78.0ms (1.6%)

preprocess58.0ms (1.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize61.0ms (1.2%)

series7.0ms (0.1%)

simplify259.0ms (5.2%)

rewrite236.0ms (4.8%)

eval70.0ms (1.4%)

prune7.0ms (0.1%)

simplify63.0ms (1.3%)

localize112.0ms (2.3%)

series21.0ms (0.4%)

simplify168.0ms (3.4%)

rewrite445.0ms (9%)

eval160.0ms (3.2%)

prune43.0ms (0.9%)

simplify6.0ms (0.1%)

localize26.0ms (0.5%)

series9.0ms (0.2%)

simplify122.0ms (2.5%)

rewrite166.0ms (3.4%)

eval81.0ms (1.6%)

prune30.0ms (0.6%)

simplify41.0ms (0.8%)

localize56.0ms (1.1%)

series12.0ms (0.2%)

simplify188.0ms (3.8%)

rewrite305.0ms (6.2%)

eval88.0ms (1.8%)

prune79.0ms (1.6%)

regimes21.0ms (0.4%)

regimes47.0ms (1%)

regimes29.0ms (0.6%)

simplify50.0ms (1%)

soundness596.0ms (12.1%)

preprocess240.0ms (4.9%)

end0.0ms (0%)

Profiling