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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze50.0ms (0.7%)

Memory

0.4MiB live, 37.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample983.0ms (13.6%)

Memory

-18.2MiB live, 988.4MiB allocated

Samples

637.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 271.0ms

ival-div: 138.0ms (50.9% of total)

ival-mult: 86.0ms (31.7% of total)

ival-add: 37.0ms (13.6% of total)

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

ival-assert: 4.0ms (1.5% of total)

Bogosity

explain96.0ms (1.3%)

Memory

5.8MiB live, 83.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
34	1	(-8.674130010890506e+75 -2.3427589497198095e-191 9.490163861885191e-60)	2	(-1.3086166719268673e-5 -3.4881158485602653e-157 -2.391543034700327e-298)	`(/.f64 (*.f64 y y) z)`
0	0	-	0	-	`(+.f64 x (/.f64 (*.f64 y y) z))`
0	0	-	0	-	`y`
0	0	-	0	-	`(*.f64 y y)`
0	0	-	0	-	`z`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 y y) z)`	o/n	14	0
↳	`(*.f64 y y)`	overflow	65
`/.f64`	`(/.f64 (*.f64 y y) z)`	u/n	3	0
↳	`(*.f64 y y)`	underflow	58

Confusion

	Predicted +	Predicted -
+	17	1
-	0	238

Precision

1.0

Recall

0.9444444444444444

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	17	0	1
-	0	0	238

Precision?

1.0

Recall?

0.9444444444444444

Freqs

test

number	freq
0	239
1	17

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

27.0ms

512×

valid

Compiler

Compiled 50 to 22 computations (56% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-add: 6.0ms (43.2% of total)

ival-mult: 4.0ms (28.8% of total)

ival-div: 3.0ms (21.6% of total)

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

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

preprocess69.0ms (1%)

Memory

-1.5MiB live, 34.7MiB allocated

Algorithm

1×	egg-herbie

Rules

349×	`times-frac`
136×	`unsub-neg`
105×	`distribute-rgt-in`
98×	`distribute-lft-in`
77×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs y)

Compiler

Compiled 10 to 6 computations (40% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.4%	(+.f64 x (/.f64 (*.f64 y y) z))

Compiler

Compiled 10 to 6 computations (40% saved)

simplify3.0ms (0%)

Memory

3.1MiB live, 3.1MiB 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

3×	`lower-*.f32`
2×	`lower-*.f64`
2×	`lower-fma.f64`
2×	`lower-/.f32`
2×	`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 (/.f64 y z) y)
(*.f64 y y)
y
z

localize17.0ms (0.2%)

Memory

24.6MiB live, 24.6MiB 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	7.380138758955433	(/.f64 (*.f64 y y) z)

Samples

11.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-div: 2.0ms (40.8% of total)

ival-mult: 2.0ms (40.8% of total)

ival-add: 1.0ms (20.4% of total)

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

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

series17.0ms (0.2%)

Memory

-39.0MiB live, 5.6MiB allocated

Counts

3 → 72

Calls

Call 1

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

Inputs

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

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

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

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

Calls

18 calls:

Time	Variable		Point	Expression
8.0ms	y	@	0	(+ x (/ (* y y) z))
4.0ms	y	@	inf	(+ x (/ (* y y) z))
1.0ms	z	@	0	(+ x (/ (* y y) z))
0.0ms	x	@	0	(+ x (/ (* y y) z))
0.0ms	x	@	inf	(+ x (/ (* y y) z))

simplify216.0ms (3%)

Memory

17.0MiB live, 86.7MiB allocated

Algorithm

1×	egg-herbie

Rules

2 284×	`lower-fma.f64`
2 284×	`lower-fma.f32`
1 821×	`lower-*.f64`
1 821×	`lower-*.f32`
617×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 67

Calls

Call 1

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

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

rewrite382.0ms (5.3%)

Memory

17.1MiB live, 215.2MiB allocated

Rules

1 711×	`lower-*.f32`
1 710×	`lower-*.f64`
1 683×	`lower-fma.f64`
1 683×	`lower-fma.f32`
1 305×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

3 → 147

Calls

Call 1

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

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

eval50.0ms (0.7%)

Memory: -0.4MiB live, 43.3MiB allocated
Compiler: Compiled 4 076 to 417 computations (89.8% saved)

prune50.0ms (0.7%)

Memory

-12.3MiB live, 63.1MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	206	8	214
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	207	8	215

Accuracy

100.0%

Counts

215 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (/.f64 y z) y x)
	93.4%	(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y) x)
▶	99.9%	(fma.f64 (neg.f64 y) (*.f64 y (/.f64 #s(literal -1 binary64) z)) x)
▶	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) y x)))
	93.2%	(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) z))
	99.9%	(+.f64 x (/.f64 y (/.f64 z y)))
▶	72.1%	(.f64 (fma.f64 (/.f64 y z) y x) (.f64 (fma.f64 (neg.f64 y) (/.f64 y z) x) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 y z) x))))
▶	47.9%	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))

Compiler

Compiled 210 to 118 computations (43.8% saved)

simplify138.0ms (1.9%)

Memory

-10.9MiB live, 190.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 y z)
cost-diff	0	(fma.f64 (/.f64 y z) y x)
cost-diff	320	(.f64 (fma.f64 (/.f64 y z) y x) (.f64 (fma.f64 (neg.f64 y) (/.f64 y z) x) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 y z) x))))
cost-diff	3456	(*.f64 (fma.f64 (neg.f64 y) (/.f64 y z) x) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 y z) x)))
cost-diff	0	(/.f64 y z)
cost-diff	0	(fma.f64 (/.f64 y z) y x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) y x))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) y x)))
cost-diff	0	(/.f64 #s(literal -1 binary64) z)
cost-diff	0	(neg.f64 y)
cost-diff	192	(*.f64 y (/.f64 #s(literal -1 binary64) z))
cost-diff	256	(fma.f64 (neg.f64 y) (*.f64 y (/.f64 #s(literal -1 binary64) z)) x)
cost-diff	0	(*.f64 y 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 y z)
cost-diff	0	(fma.f64 (/.f64 y z) y x)

Rules

4 602×	`lower-fma.f32`
4 599×	`lower-fma.f64`
1 539×	`lower-*.f32`
1 536×	`lower-*.f64`
895×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	161
0	40	119
1	70	118
2	149	118
3	444	118
4	2580	118
5	7573	118
0	8046	118

Stop Event

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

Calls

Call 1

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

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

localize89.0ms (1.2%)

Memory

36.7MiB live, 192.3MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0625	(fma.f64 (/.f64 y z) y x)
accuracy	0.0625	(fma.f64 (neg.f64 y) (/.f64 y z) x)
accuracy	0.33981167565607495	(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 y z) x))
accuracy	17.31659332145612	(*.f64 (fma.f64 (neg.f64 y) (/.f64 y z) x) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 y z) x)))
accuracy	0	(/.f64 y z)
accuracy	0.0625	(fma.f64 (/.f64 y z) y x)
accuracy	0.12109375	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) y x)))
accuracy	0.34371792565607495	(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) y x))
accuracy	0	(/.f64 #s(literal -1 binary64) z)
accuracy	0	(neg.f64 y)
accuracy	0.0625	(fma.f64 (neg.f64 y) (*.f64 y (/.f64 #s(literal -1 binary64) z)) x)
accuracy	0.16015625	(*.f64 y (/.f64 #s(literal -1 binary64) z))
accuracy	0	(*.f64 y y)
accuracy	7.380138758955433	(/.f64 (*.f64 y y) z)
accuracy	29.56923070581624	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
accuracy	0	(/.f64 y z)
accuracy	0.0625	(fma.f64 (/.f64 y z) y x)

Samples

64.0ms

256×

valid

Compiler

Compiled 170 to 25 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 16.0ms (42% of total)

ival-div: 15.0ms (39.3% of total)

ival-add: 5.0ms (13.1% of total)

ival-neg: 1.0ms (2.6% of total)

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

exact: 0.0ms (0% of total)

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

series30.0ms (0.4%)

Memory

-18.0MiB live, 64.6MiB allocated

Counts

15 → 432

Calls

Call 1

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

Outputs
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (/.f64 y z) y x) (patch (fma.f64 (/.f64 y z) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow y 2) z)) (taylor 0 y) (#s(alt (fma.f64 (/.f64 y z) y x) (patch (fma.f64 (/.f64 y z) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow y 2) z)) (taylor 0 y) (#s(alt (fma.f64 (/.f64 y z) y x) (patch (fma.f64 (/.f64 y z) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow y 2) z)) (taylor 0 y) (#s(alt (fma.f64 (/.f64 y z) y x) (patch (fma.f64 (/.f64 y z) y x) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) z) (taylor inf y) (#s(alt (fma.f64 (/.f64 y z) y x) (patch (fma.f64 (/.f64 y z) y x) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 (/.f64 y z) y x) (patch (fma.f64 (/.f64 y z) y x) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 (/.f64 y z) y x) (patch (fma.f64 (/.f64 y z) y x) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 (/.f64 y z) y x) (patch (fma.f64 (/.f64 y z) y x) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) z) (taylor -inf y) (#s(alt (fma.f64 (/.f64 y z) y x) (patch (fma.f64 (/.f64 y z) y x) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) (taylor -inf y) (#s(alt (fma.f64 (/.f64 y z) y x) (patch (fma.f64 (/.f64 y z) y x) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) (taylor -inf y) (#s(alt (fma.f64 (/.f64 y z) y x) (patch (fma.f64 (/.f64 y z) y x) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) (taylor -inf y) (#s(alt (fma.f64 (/.f64 y z) y x) (patch (fma.f64 (/.f64 y z) y x) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 y z) y x) (patch (fma.f64 (/.f64 y z) y x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x z) (pow y 2)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 y z) y x) (patch (fma.f64 (/.f64 y z) y x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x z) (pow y 2)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 y z) y x) (patch (fma.f64 (/.f64 y z) y x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x z) (pow y 2)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 y z) y x) (patch (fma.f64 (/.f64 y z) y x) #<representation binary64>) () ())) ())
#s(alt x (taylor inf z) (#s(alt (fma.f64 (/.f64 y z) y x) (patch (fma.f64 (/.f64 y z) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow y 2) z)) (taylor inf z) (#s(alt (fma.f64 (/.f64 y z) y x) (patch (fma.f64 (/.f64 y z) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow y 2) z)) (taylor inf z) (#s(alt (fma.f64 (/.f64 y z) y x) (patch (fma.f64 (/.f64 y z) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow y 2) z)) (taylor inf z) (#s(alt (fma.f64 (/.f64 y z) y x) (patch (fma.f64 (/.f64 y z) y x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf z) (#s(alt (fma.f64 (/.f64 y z) y x) (patch (fma.f64 (/.f64 y z) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow y 2) z)) (taylor -inf z) (#s(alt (fma.f64 (/.f64 y z) y x) (patch (fma.f64 (/.f64 y z) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow y 2) z)) (taylor -inf z) (#s(alt (fma.f64 (/.f64 y z) y x) (patch (fma.f64 (/.f64 y z) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow y 2) z)) (taylor -inf z) (#s(alt (fma.f64 (/.f64 y z) y x) (patch (fma.f64 (/.f64 y z) y x) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) z) (taylor 0 x) (#s(alt (fma.f64 (/.f64 y z) y x) (patch (fma.f64 (/.f64 y z) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow y 2) z)) (taylor 0 x) (#s(alt (fma.f64 (/.f64 y z) y x) (patch (fma.f64 (/.f64 y z) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow y 2) z)) (taylor 0 x) (#s(alt (fma.f64 (/.f64 y z) y x) (patch (fma.f64 (/.f64 y z) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow y 2) z)) (taylor 0 x) (#s(alt (fma.f64 (/.f64 y z) y x) (patch (fma.f64 (/.f64 y z) y x) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (fma.f64 (/.f64 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 (/.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 (/ y z) (taylor 0 y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#s(alt (/ y z) (taylor -inf y) (#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 (/ y z) (taylor 0 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 (/ 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 (/ y z) (taylor -inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) z) (taylor 0 x) (#s(alt #s(approx (+ x (/ (* y y) z)) (/.f64 (.f64 y y) z)) (patch #s(approx (+ x (/ ( y y) z)) (/.f64 (*.f64 y y) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow y 2) z)) (taylor 0 x) (#s(alt #s(approx (+ x (/ (* y y) z)) (/.f64 (.f64 y y) z)) (patch #s(approx (+ x (/ ( y y) z)) (/.f64 (*.f64 y y) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow y 2) z)) (taylor 0 x) (#s(alt #s(approx (+ x (/ (* y y) z)) (/.f64 (.f64 y y) z)) (patch #s(approx (+ x (/ ( y y) z)) (/.f64 (*.f64 y y) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow y 2) z)) (taylor 0 x) (#s(alt #s(approx (+ x (/ (* y y) z)) (/.f64 (.f64 y y) z)) (patch #s(approx (+ x (/ ( y y) z)) (/.f64 (*.f64 y y) z)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt #s(approx (+ x (/ (* y y) z)) (/.f64 (.f64 y y) z)) (patch #s(approx (+ x (/ ( y y) z)) (/.f64 (*.f64 y y) z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (pow y 2) (* x z)))) (taylor inf x) (#s(alt #s(approx (+ x (/ (* y y) z)) (/.f64 (.f64 y y) z)) (patch #s(approx (+ x (/ ( y y) z)) (/.f64 (*.f64 y y) z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (pow y 2) (* x z)))) (taylor inf x) (#s(alt #s(approx (+ x (/ (* y y) z)) (/.f64 (.f64 y y) z)) (patch #s(approx (+ x (/ ( y y) z)) (/.f64 (*.f64 y y) z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (pow y 2) (* x z)))) (taylor inf x) (#s(alt #s(approx (+ x (/ (* y y) z)) (/.f64 (.f64 y y) z)) (patch #s(approx (+ x (/ ( y y) z)) (/.f64 (*.f64 y y) z)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ x (/ (* y y) z)) (/.f64 (.f64 y y) z)) (patch #s(approx (+ x (/ ( y y) z)) (/.f64 (*.f64 y y) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (* y y) z)) (/.f64 (.f64 y y) z)) (patch #s(approx (+ x (/ ( y y) z)) (/.f64 (*.f64 y y) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (* y y) z)) (/.f64 (.f64 y y) z)) (patch #s(approx (+ x (/ ( y y) z)) (/.f64 (*.f64 y y) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (* y y) z)) (/.f64 (.f64 y y) z)) (patch #s(approx (+ x (/ ( y y) z)) (/.f64 (*.f64 y y) z)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (+ x (/ (* y y) z)) (/.f64 (.f64 y y) z)) (patch #s(approx (+ x (/ ( y y) z)) (/.f64 (*.f64 y y) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow y 2) z)) (taylor 0 y) (#s(alt #s(approx (+ x (/ (* y y) z)) (/.f64 (.f64 y y) z)) (patch #s(approx (+ x (/ ( y y) z)) (/.f64 (*.f64 y y) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow y 2) z)) (taylor 0 y) (#s(alt #s(approx (+ x (/ (* y y) z)) (/.f64 (.f64 y y) z)) (patch #s(approx (+ x (/ ( y y) z)) (/.f64 (*.f64 y y) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow y 2) z)) (taylor 0 y) (#s(alt #s(approx (+ x (/ (* y y) z)) (/.f64 (.f64 y y) z)) (patch #s(approx (+ x (/ ( y y) z)) (/.f64 (*.f64 y y) z)) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) z) (taylor inf y) (#s(alt #s(approx (+ x (/ (* y y) z)) (/.f64 (.f64 y y) z)) (patch #s(approx (+ x (/ ( y y) z)) (/.f64 (*.f64 y y) z)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) (taylor inf y) (#s(alt #s(approx (+ x (/ (* y y) z)) (/.f64 (.f64 y y) z)) (patch #s(approx (+ x (/ ( y y) z)) (/.f64 (*.f64 y y) z)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) (taylor inf y) (#s(alt #s(approx (+ x (/ (* y y) z)) (/.f64 (.f64 y y) z)) (patch #s(approx (+ x (/ ( y y) z)) (/.f64 (*.f64 y y) z)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) (taylor inf y) (#s(alt #s(approx (+ x (/ (* y y) z)) (/.f64 (.f64 y y) z)) (patch #s(approx (+ x (/ ( y y) z)) (/.f64 (*.f64 y y) z)) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) z) (taylor -inf y) (#s(alt #s(approx (+ x (/ (* y y) z)) (/.f64 (.f64 y y) z)) (patch #s(approx (+ x (/ ( y y) z)) (/.f64 (*.f64 y y) z)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) (taylor -inf y) (#s(alt #s(approx (+ x (/ (* y y) z)) (/.f64 (.f64 y y) z)) (patch #s(approx (+ x (/ ( y y) z)) (/.f64 (*.f64 y y) z)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) (taylor -inf y) (#s(alt #s(approx (+ x (/ (* y y) z)) (/.f64 (.f64 y y) z)) (patch #s(approx (+ x (/ ( y y) z)) (/.f64 (*.f64 y y) z)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) (taylor -inf y) (#s(alt #s(approx (+ x (/ (* y y) z)) (/.f64 (.f64 y y) z)) (patch #s(approx (+ x (/ ( y y) z)) (/.f64 (*.f64 y y) z)) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) z) (taylor 0 z) (#s(alt #s(approx (+ x (/ (* y y) z)) (/.f64 (.f64 y y) z)) (patch #s(approx (+ x (/ ( y y) z)) (/.f64 (*.f64 y y) z)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x z) (pow y 2)) z) (taylor 0 z) (#s(alt #s(approx (+ x (/ (* y y) z)) (/.f64 (.f64 y y) z)) (patch #s(approx (+ x (/ ( y y) z)) (/.f64 (*.f64 y y) z)) #<representation binary64>) () ())) ())
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#s(alt (/ (- (+ (* -1 z) (* -1 (/ (* (pow x 3) (pow z 4)) (pow y 6)))) (+ (/ (* x (pow z 2)) (pow y 2)) (/ (* (pow x 2) (pow z 3)) (pow y 4)))) (pow y 2)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 y z) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ z (pow y 2))) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 y z) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 z) (* -1 (/ (* x (pow z 2)) (pow y 2)))) (pow y 2)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 y z) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 z) (* -1 (/ (* (pow x 2) (pow z 3)) (pow y 4)))) (/ (* x (pow z 2)) (pow y 2))) (pow y 2)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 y z) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 z) (* -1 (/ (* (pow x 3) (pow z 4)) (pow y 6)))) (+ (/ (* x (pow z 2)) (pow y 2)) (/ (* (pow x 2) (pow z 3)) (pow y 4)))) (pow y 2)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 y z) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ z (pow y 2))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 y z) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* -1 (/ (* x z) (pow y 4))) (/ 1 (pow y 2)))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 y z) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* z (- (* -1 (/ (* (pow x 2) z) (pow y 6))) (/ x (pow y 4)))) (/ 1 (pow y 2)))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 y z) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* z (- (* z (- (* -1 (/ (* (pow x 3) z) (pow y 8))) (/ (pow x 2) (pow y 6)))) (/ x (pow y 4)))) (/ 1 (pow y 2)))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 y z) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 y z) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 x) (/ (pow y 2) (* (pow x 2) z))) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 y z) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (/ 1 x) (/ (pow y 4) (* (pow x 3) (pow z 2)))) (* -1 (/ (pow y 2) (* (pow x 2) z)))) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 y z) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (/ 1 x) (/ (pow y 6) (* (pow x 4) (pow z 3)))) (+ (* -1 (/ (pow y 2) (* (pow x 2) z))) (* -1 (/ (pow y 4) (* (pow x 3) (pow z 2)))))) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 y z) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 y z) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 x) (/ (pow y 2) (* (pow x 2) z))) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 y z) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (- (* -1 (/ (pow y 4) (* (pow x 3) z))) (/ (pow y 2) (pow x 2))) z)) (/ 1 x)) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 y z) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (- (* -1 (/ (- (/ (pow y 6) (* (pow x 4) z)) (* -1 (/ (pow y 4) (pow x 3)))) z)) (/ (pow y 2) (pow x 2))) z)) (/ 1 x)) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 y z) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ z (pow y 2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 y z) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ z (pow y 2))) (* -1 (/ (* x (pow z 2)) (pow y 4)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 y z) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ z (pow y 2))) (* x (- (* -1 (/ (* x (pow z 3)) (pow y 6))) (/ (pow z 2) (pow y 4))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 y z) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ z (pow y 2))) (* x (- (* x (- (* -1 (/ (* x (pow z 4)) (pow y 8))) (/ (pow z 3) (pow y 6)))) (/ (pow z 2) (pow y 4))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 y z) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 y z) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (/ (pow y 2) (* x z))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 y z) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (pow y 4) (* (pow x 2) (pow z 2)))) (* -1 (/ (pow y 2) (* x z)))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 y z) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (pow y 6) (* (pow x 3) (pow z 3)))) (+ (* -1 (/ (pow y 2) (* x z))) (* -1 (/ (pow y 4) (* (pow x 2) (pow z 2)))))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 y z) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 y z) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (pow y 2) (* x z))) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 y z) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) (* x (pow z 2))) (* -1 (/ (pow y 2) z))) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 y z) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 6) (* x (pow z 3)))) (/ (pow y 4) (pow z 2))) x)) (* -1 (/ (pow y 2) z))) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 y z) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (neg.f64 y) (/.f64 y z) x) (patch (fma.f64 (neg.f64 y) (/.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (pow y 2) z))) (taylor 0 y) (#s(alt (fma.f64 (neg.f64 y) (/.f64 y z) x) (patch (fma.f64 (neg.f64 y) (/.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (pow y 2) z))) (taylor 0 y) (#s(alt (fma.f64 (neg.f64 y) (/.f64 y z) x) (patch (fma.f64 (neg.f64 y) (/.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (pow y 2) z))) (taylor 0 y) (#s(alt (fma.f64 (neg.f64 y) (/.f64 y z) x) (patch (fma.f64 (neg.f64 y) (/.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow y 2) z)) (taylor inf y) (#s(alt (fma.f64 (neg.f64 y) (/.f64 y z) x) (patch (fma.f64 (neg.f64 y) (/.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ x (pow y 2)) (/ 1 z))) (taylor inf y) (#s(alt (fma.f64 (neg.f64 y) (/.f64 y z) x) (patch (fma.f64 (neg.f64 y) (/.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ x (pow y 2)) (/ 1 z))) (taylor inf y) (#s(alt (fma.f64 (neg.f64 y) (/.f64 y z) x) (patch (fma.f64 (neg.f64 y) (/.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ x (pow y 2)) (/ 1 z))) (taylor inf y) (#s(alt (fma.f64 (neg.f64 y) (/.f64 y z) x) (patch (fma.f64 (neg.f64 y) (/.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow y 2) z)) (taylor -inf y) (#s(alt (fma.f64 (neg.f64 y) (/.f64 y z) x) (patch (fma.f64 (neg.f64 y) (/.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ x (pow y 2)) (/ 1 z))) (taylor -inf y) (#s(alt (fma.f64 (neg.f64 y) (/.f64 y z) x) (patch (fma.f64 (neg.f64 y) (/.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ x (pow y 2)) (/ 1 z))) (taylor -inf y) (#s(alt (fma.f64 (neg.f64 y) (/.f64 y z) x) (patch (fma.f64 (neg.f64 y) (/.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ x (pow y 2)) (/ 1 z))) (taylor -inf y) (#s(alt (fma.f64 (neg.f64 y) (/.f64 y z) x) (patch (fma.f64 (neg.f64 y) (/.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow y 2) z)) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 y) (/.f64 y z) x) (patch (fma.f64 (neg.f64 y) (/.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (pow y 2)) (* x z)) z) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 y) (/.f64 y z) x) (patch (fma.f64 (neg.f64 y) (/.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (pow y 2)) (* x z)) z) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 y) (/.f64 y z) x) (patch (fma.f64 (neg.f64 y) (/.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (pow y 2)) (* x z)) z) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 y) (/.f64 y z) x) (patch (fma.f64 (neg.f64 y) (/.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt x (taylor inf z) (#s(alt (fma.f64 (neg.f64 y) (/.f64 y z) x) (patch (fma.f64 (neg.f64 y) (/.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (pow y 2) z))) (taylor inf z) (#s(alt (fma.f64 (neg.f64 y) (/.f64 y z) x) (patch (fma.f64 (neg.f64 y) (/.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (pow y 2) z))) (taylor inf z) (#s(alt (fma.f64 (neg.f64 y) (/.f64 y z) x) (patch (fma.f64 (neg.f64 y) (/.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (pow y 2) z))) (taylor inf z) (#s(alt (fma.f64 (neg.f64 y) (/.f64 y z) x) (patch (fma.f64 (neg.f64 y) (/.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf z) (#s(alt (fma.f64 (neg.f64 y) (/.f64 y z) x) (patch (fma.f64 (neg.f64 y) (/.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (pow y 2) z))) (taylor -inf z) (#s(alt (fma.f64 (neg.f64 y) (/.f64 y z) x) (patch (fma.f64 (neg.f64 y) (/.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (pow y 2) z))) (taylor -inf z) (#s(alt (fma.f64 (neg.f64 y) (/.f64 y z) x) (patch (fma.f64 (neg.f64 y) (/.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (pow y 2) z))) (taylor -inf z) (#s(alt (fma.f64 (neg.f64 y) (/.f64 y z) x) (patch (fma.f64 (neg.f64 y) (/.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow y 2) z)) (taylor 0 x) (#s(alt (fma.f64 (neg.f64 y) (/.f64 y z) x) (patch (fma.f64 (neg.f64 y) (/.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (pow y 2) z))) (taylor 0 x) (#s(alt (fma.f64 (neg.f64 y) (/.f64 y z) x) (patch (fma.f64 (neg.f64 y) (/.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (pow y 2) z))) (taylor 0 x) (#s(alt (fma.f64 (neg.f64 y) (/.f64 y z) x) (patch (fma.f64 (neg.f64 y) (/.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (pow y 2) z))) (taylor 0 x) (#s(alt (fma.f64 (neg.f64 y) (/.f64 y z) x) (patch (fma.f64 (neg.f64 y) (/.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (fma.f64 (neg.f64 y) (/.f64 y z) x) (patch (fma.f64 (neg.f64 y) (/.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ (pow y 2) (* x z))))) (taylor inf x) (#s(alt (fma.f64 (neg.f64 y) (/.f64 y z) x) (patch (fma.f64 (neg.f64 y) (/.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ (pow y 2) (* x z))))) (taylor inf x) (#s(alt (fma.f64 (neg.f64 y) (/.f64 y z) x) (patch (fma.f64 (neg.f64 y) (/.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ (pow y 2) (* x z))))) (taylor inf x) (#s(alt (fma.f64 (neg.f64 y) (/.f64 y z) x) (patch (fma.f64 (neg.f64 y) (/.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 (neg.f64 y) (/.f64 y z) x) (patch (fma.f64 (neg.f64 y) (/.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (pow y 2) (* x z)) 1))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 y) (/.f64 y z) x) (patch (fma.f64 (neg.f64 y) (/.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (pow y 2) (* x z)) 1))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 y) (/.f64 y z) x) (patch (fma.f64 (neg.f64 y) (/.f64 y z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (pow y 2) (* x z)) 1))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 y) (/.f64 y z) x) (patch (fma.f64 (neg.f64 y) (/.f64 y z) x) #<representation binary64>) () ())) ())

Calls

108 calls:

Time	Variable		Point	Expression
5.0ms	y	@	-inf	(/ y z)
1.0ms	x	@	0	(/ 1 (+ (* (/ y z) y) x))
1.0ms	z	@	0	(/ 1 (+ (* (neg y) (/ y z)) x))
0.0ms	z	@	0	(/ 1 (+ (* (/ y z) y) x))
0.0ms	y	@	inf	(/ 1 (+ (* (/ y z) y) x))

simplify279.0ms (3.9%)

Memory

3.7MiB live, 360.2MiB allocated

Algorithm

1×	egg-herbie

Rules

10 291×	`lower-fma.f64`
10 291×	`lower-fma.f32`
3 142×	`lower-*.f64`
3 142×	`lower-*.f32`
1 103×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	278	3634
1	859	3566
2	2512	3455
0	8372	3273

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 402

Calls

Call 1

Inputs
x
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(/ (pow y 2) z)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(/ (pow y 2) z)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(/ (pow y 2) z)
(/ (+ (* x z) (pow y 2)) z)
(/ (+ (* x z) (pow y 2)) z)
(/ (+ (* x z) (pow y 2)) z)
x
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
x
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(/ (pow y 2) z)
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
x
(* x (+ 1 (/ (pow y 2) (* x z))))
(* x (+ 1 (/ (pow y 2) (* x z))))
(* x (+ 1 (/ (pow y 2) (* x z))))
x
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (pow y 2) z)
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
x
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Outputs
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#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
x
(+ x (/ (pow y 2) z))
(fma.f64 y (/.f64 y z) x)
(+ x (/ (pow y 2) z))
(fma.f64 y (/.f64 y z) x)
(+ x (/ (pow y 2) z))
(fma.f64 y (/.f64 y z) x)
(/ (pow y 2) z)
(*.f64 y (/.f64 y z))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(.f64 y (fma.f64 y (/.f64 x (.f64 y y)) (/.f64 y z)))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(.f64 y (fma.f64 y (/.f64 x (.f64 y y)) (/.f64 y z)))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(.f64 y (fma.f64 y (/.f64 x (.f64 y y)) (/.f64 y z)))
(/ (pow y 2) z)
(*.f64 y (/.f64 y z))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(.f64 y (fma.f64 y (/.f64 x (.f64 y y)) (/.f64 y z)))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(.f64 y (fma.f64 y (/.f64 x (.f64 y y)) (/.f64 y z)))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(.f64 y (fma.f64 y (/.f64 x (.f64 y y)) (/.f64 y z)))
(/ (pow y 2) z)
(*.f64 y (/.f64 y z))
(/ (+ (* x z) (pow y 2)) z)
(/.f64 (fma.f64 z x (*.f64 y y)) z)
(/ (+ (* x z) (pow y 2)) z)
(/.f64 (fma.f64 z x (*.f64 y y)) z)
(/ (+ (* x z) (pow y 2)) z)
(/.f64 (fma.f64 z x (*.f64 y y)) z)
x
(+ x (/ (pow y 2) z))
(fma.f64 y (/.f64 y z) x)
(+ x (/ (pow y 2) z))
(fma.f64 y (/.f64 y z) x)
(+ x (/ (pow y 2) z))
(fma.f64 y (/.f64 y z) x)
x
(+ x (/ (pow y 2) z))
(fma.f64 y (/.f64 y z) x)
(+ x (/ (pow y 2) z))
(fma.f64 y (/.f64 y z) x)
(+ x (/ (pow y 2) z))
(fma.f64 y (/.f64 y z) x)
(/ (pow y 2) z)
(*.f64 y (/.f64 y z))
(+ x (/ (pow y 2) z))
(fma.f64 y (/.f64 y z) x)
(+ x (/ (pow y 2) z))
(fma.f64 y (/.f64 y z) x)
(+ x (/ (pow y 2) z))
(fma.f64 y (/.f64 y z) x)
x
(* x (+ 1 (/ (pow y 2) (* x z))))
(fma.f64 (.f64 x y) (/.f64 y (.f64 z x)) x)
(* x (+ 1 (/ (pow y 2) (* x z))))
(fma.f64 (.f64 x y) (/.f64 y (.f64 z x)) x)
(* x (+ 1 (/ (pow y 2) (* x z))))
(fma.f64 (.f64 x y) (/.f64 y (.f64 z x)) x)
x
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(fma.f64 (.f64 x y) (/.f64 y (.f64 z x)) x)
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(fma.f64 (.f64 x y) (/.f64 y (.f64 z x)) x)
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(fma.f64 (.f64 x y) (/.f64 y (.f64 z x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (/ 1 x) (/ (pow y 2) (* (pow x 2) z)))
(/.f64 (fma.f64 y (/.f64 y (*.f64 z x)) #s(literal 1 binary64)) x)
(+ (* (pow y 2) (+ (/ 1 (* (pow x 2) z)) (/ (pow y 2) (* (pow x 3) (pow z 2))))) (/ 1 x))
(/.f64 (fma.f64 y (/.f64 y (.f64 z x)) (+.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (.f64 (*.f64 x x) z) z)) #s(literal 1 binary64))) x)
(+ (* (pow y 2) (+ (* (pow y 2) (+ (/ 1 (* (pow x 3) (pow z 2))) (/ (pow y 2) (* (pow x 4) (pow z 3))))) (/ 1 (* (pow x 2) z)))) (/ 1 x))
(fma.f64 (.f64 (.f64 y y) y) (.f64 y (fma.f64 y (/.f64 y (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) z) (.f64 z z))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 x x) z) z) x)))) (/.f64 (fma.f64 y (/.f64 y (*.f64 z x)) #s(literal 1 binary64)) x))
(* -1 (/ z (pow y 2)))
(/.f64 (neg.f64 z) (*.f64 y y))
(/ (+ (* -1 z) (* -1 (/ (* x (pow z 2)) (pow y 2)))) (pow y 2))
(/.f64 (neg.f64 (fma.f64 (.f64 z z) (/.f64 x (.f64 y y)) z)) (*.f64 y y))
(/ (- (+ (* -1 z) (* -1 (/ (* (pow x 2) (pow z 3)) (pow y 4)))) (/ (* x (pow z 2)) (pow y 2))) (pow y 2))
(/.f64 (neg.f64 (fma.f64 x (fma.f64 (.f64 (.f64 z z) x) (/.f64 z (.f64 (.f64 (.f64 y y) y) y)) (.f64 z (/.f64 z (.f64 y y)))) z)) (.f64 y y))
(/ (- (+ (* -1 z) (* -1 (/ (* (pow x 3) (pow z 4)) (pow y 6)))) (+ (/ (* x (pow z 2)) (pow y 2)) (/ (* (pow x 2) (pow z 3)) (pow y 4)))) (pow y 2))
(/.f64 (neg.f64 (fma.f64 x (fma.f64 (.f64 (.f64 z z) x) (/.f64 z (.f64 (.f64 (.f64 y y) y) y)) (.f64 z (/.f64 z (.f64 y y)))) (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (.f64 x x) x) z))) (.f64 y y))
(* -1 (/ z (pow y 2)))
(/.f64 (neg.f64 z) (*.f64 y y))
(/ (+ (* -1 z) (* -1 (/ (* x (pow z 2)) (pow y 2)))) (pow y 2))
(/.f64 (neg.f64 (fma.f64 (.f64 z z) (/.f64 x (.f64 y y)) z)) (*.f64 y y))
(/ (- (+ (* -1 z) (* -1 (/ (* (pow x 2) (pow z 3)) (pow y 4)))) (/ (* x (pow z 2)) (pow y 2))) (pow y 2))
(/.f64 (neg.f64 (fma.f64 x (fma.f64 (.f64 (.f64 z z) x) (/.f64 z (.f64 (.f64 (.f64 y y) y) y)) (.f64 z (/.f64 z (.f64 y y)))) z)) (.f64 y y))
(/ (- (+ (* -1 z) (* -1 (/ (* (pow x 3) (pow z 4)) (pow y 6)))) (+ (/ (* x (pow z 2)) (pow y 2)) (/ (* (pow x 2) (pow z 3)) (pow y 4)))) (pow y 2))
(/.f64 (neg.f64 (fma.f64 x (fma.f64 (.f64 (.f64 z z) x) (/.f64 z (.f64 (.f64 (.f64 y y) y) y)) (.f64 z (/.f64 z (.f64 y y)))) (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (.f64 x x) x) z))) (.f64 y y))
(* -1 (/ z (pow y 2)))
(/.f64 (neg.f64 z) (*.f64 y y))
(* z (- (* -1 (/ (* x z) (pow y 4))) (/ 1 (pow y 2))))
(/.f64 (neg.f64 (fma.f64 (.f64 z z) (/.f64 x (.f64 y y)) z)) (*.f64 y y))
(* z (- (* z (- (* -1 (/ (* (pow x 2) z) (pow y 6))) (/ x (pow y 4)))) (/ 1 (pow y 2))))
(.f64 (fma.f64 (neg.f64 (fma.f64 (.f64 (/.f64 z (pow.f64 y #s(literal 6 binary64))) x) x (/.f64 x (.f64 (.f64 (.f64 y y) y) y)))) z (/.f64 #s(literal -1 binary64) (.f64 y y))) z)
(* z (- (* z (- (* z (- (* -1 (/ (* (pow x 3) z) (pow y 8))) (/ (pow x 2) (pow y 6)))) (/ x (pow y 4)))) (/ 1 (pow y 2))))
(.f64 (fma.f64 (fma.f64 (neg.f64 (.f64 x (fma.f64 (.f64 x x) (/.f64 z (pow.f64 y #s(literal 8 binary64))) (/.f64 x (pow.f64 y #s(literal 6 binary64)))))) z (/.f64 (neg.f64 x) (.f64 (.f64 (.f64 y y) y) y))) z (/.f64 #s(literal -1 binary64) (*.f64 y y))) z)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (/ 1 x) (/ (pow y 2) (* (pow x 2) z)))
(/.f64 (fma.f64 y (/.f64 y (*.f64 z x)) #s(literal 1 binary64)) x)
(- (+ (/ 1 x) (/ (pow y 4) (* (pow x 3) (pow z 2)))) (* -1 (/ (pow y 2) (* (pow x 2) z))))
(/.f64 (fma.f64 y (/.f64 y (.f64 z x)) (+.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (.f64 (*.f64 x x) z) z)) #s(literal 1 binary64))) x)
(- (+ (/ 1 x) (/ (pow y 6) (* (pow x 4) (pow z 3)))) (+ (* -1 (/ (pow y 2) (* (pow x 2) z))) (* -1 (/ (pow y 4) (* (pow x 3) (pow z 2))))))
(-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) z) (.f64 z z))) (/.f64 (-.f64 #s(literal -1 binary64) (fma.f64 y (/.f64 y (.f64 z x)) (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (.f64 (.f64 x x) z) z)))) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (/ 1 x) (/ (pow y 2) (* (pow x 2) z)))
(/.f64 (fma.f64 y (/.f64 y (*.f64 z x)) #s(literal 1 binary64)) x)
(+ (* -1 (/ (- (* -1 (/ (pow y 4) (* (pow x 3) z))) (/ (pow y 2) (pow x 2))) z)) (/ 1 x))
(/.f64 (fma.f64 y (/.f64 y (.f64 z x)) (+.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (.f64 (*.f64 x x) z) z)) #s(literal 1 binary64))) x)
(+ (* -1 (/ (- (* -1 (/ (- (/ (pow y 6) (* (pow x 4) z)) (* -1 (/ (pow y 4) (pow x 3)))) z)) (/ (pow y 2) (pow x 2))) z)) (/ 1 x))
(+.f64 (/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 z z))) (fma.f64 y (/.f64 y (.f64 x x)) (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (.f64 (*.f64 x x) x) z)))) z) (/.f64 #s(literal 1 binary64) x))
(* -1 (/ z (pow y 2)))
(/.f64 (neg.f64 z) (*.f64 y y))
(+ (* -1 (/ z (pow y 2))) (* -1 (/ (* x (pow z 2)) (pow y 4))))
(/.f64 (neg.f64 (fma.f64 (.f64 z z) (/.f64 x (.f64 y y)) z)) (*.f64 y y))
(+ (* -1 (/ z (pow y 2))) (* x (- (* -1 (/ (* x (pow z 3)) (pow y 6))) (/ (pow z 2) (pow y 4)))))
(fma.f64 (.f64 (neg.f64 x) x) (.f64 (.f64 z z) (/.f64 z (pow.f64 y #s(literal 6 binary64)))) (/.f64 (neg.f64 (fma.f64 (.f64 z z) (/.f64 x (.f64 y y)) z)) (.f64 y y)))
(+ (* -1 (/ z (pow y 2))) (* x (- (* x (- (* -1 (/ (* x (pow z 4)) (pow y 8))) (/ (pow z 3) (pow y 6)))) (/ (pow z 2) (pow y 4)))))
(fma.f64 (.f64 (neg.f64 x) (fma.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 x (pow.f64 y #s(literal 8 binary64))) (.f64 (.f64 z z) (/.f64 z (pow.f64 y #s(literal 6 binary64)))))) x (/.f64 (neg.f64 (fma.f64 (.f64 z z) (/.f64 x (.f64 y y)) z)) (.f64 y y)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (/ (pow y 2) (* x z))) x)
(/.f64 (fma.f64 y (/.f64 y (*.f64 z x)) #s(literal 1 binary64)) x)
(/ (- (+ 1 (/ (pow y 4) (* (pow x 2) (pow z 2)))) (* -1 (/ (pow y 2) (* x z)))) x)
(/.f64 (fma.f64 y (/.f64 y (.f64 z x)) (+.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (.f64 (*.f64 x x) z) z)) #s(literal 1 binary64))) x)
(/ (- (+ 1 (/ (pow y 6) (* (pow x 3) (pow z 3)))) (+ (* -1 (/ (pow y 2) (* x z))) (* -1 (/ (pow y 4) (* (pow x 2) (pow z 2)))))) x)
(/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (.f64 (.f64 (.f64 x x) z) z) (.f64 z x))) (-.f64 #s(literal -1 binary64) (fma.f64 y (/.f64 y (.f64 z x)) (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (.f64 (.f64 x x) z) z))))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (* -1 (/ (pow y 2) (* x z))) 1) x))
(/.f64 (fma.f64 y (/.f64 y (*.f64 z x)) #s(literal 1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (/ (pow y 4) (* x (pow z 2))) (* -1 (/ (pow y 2) z))) x)) 1) x))
(/.f64 (fma.f64 y (/.f64 y (.f64 z x)) (+.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (.f64 (*.f64 x x) z) z)) #s(literal 1 binary64))) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 6) (* x (pow z 3)))) (/ (pow y 4) (pow z 2))) x)) (* -1 (/ (pow y 2) z))) x)) 1) x))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (.f64 (.f64 z z) x) z)) (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 z z))) (.f64 x x)) (fma.f64 y (/.f64 y (*.f64 z x)) #s(literal 1 binary64))) x)
x
(+ x (* -1 (/ (pow y 2) z)))
(fma.f64 (neg.f64 y) (/.f64 y z) x)
(+ x (* -1 (/ (pow y 2) z)))
(fma.f64 (neg.f64 y) (/.f64 y z) x)
(+ x (* -1 (/ (pow y 2) z)))
(fma.f64 (neg.f64 y) (/.f64 y z) x)
(* -1 (/ (pow y 2) z))
(*.f64 (neg.f64 y) (/.f64 y z))
(* (pow y 2) (- (/ x (pow y 2)) (/ 1 z)))
(.f64 (-.f64 (/.f64 x (.f64 y y)) (/.f64 #s(literal 1 binary64) z)) (*.f64 y y))
(* (pow y 2) (- (/ x (pow y 2)) (/ 1 z)))
(.f64 (-.f64 (/.f64 x (.f64 y y)) (/.f64 #s(literal 1 binary64) z)) (*.f64 y y))
(* (pow y 2) (- (/ x (pow y 2)) (/ 1 z)))
(.f64 (-.f64 (/.f64 x (.f64 y y)) (/.f64 #s(literal 1 binary64) z)) (*.f64 y y))
(* -1 (/ (pow y 2) z))
(*.f64 (neg.f64 y) (/.f64 y z))
(* (pow y 2) (- (/ x (pow y 2)) (/ 1 z)))
(.f64 (-.f64 (/.f64 x (.f64 y y)) (/.f64 #s(literal 1 binary64) z)) (*.f64 y y))
(* (pow y 2) (- (/ x (pow y 2)) (/ 1 z)))
(.f64 (-.f64 (/.f64 x (.f64 y y)) (/.f64 #s(literal 1 binary64) z)) (*.f64 y y))
(* (pow y 2) (- (/ x (pow y 2)) (/ 1 z)))
(.f64 (-.f64 (/.f64 x (.f64 y y)) (/.f64 #s(literal 1 binary64) z)) (*.f64 y y))
(* -1 (/ (pow y 2) z))
(*.f64 (neg.f64 y) (/.f64 y z))
(/ (+ (* -1 (pow y 2)) (* x z)) z)
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 z x)) z)
(/ (+ (* -1 (pow y 2)) (* x z)) z)
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 z x)) z)
(/ (+ (* -1 (pow y 2)) (* x z)) z)
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 z x)) z)
x
(+ x (* -1 (/ (pow y 2) z)))
(fma.f64 (neg.f64 y) (/.f64 y z) x)
(+ x (* -1 (/ (pow y 2) z)))
(fma.f64 (neg.f64 y) (/.f64 y z) x)
(+ x (* -1 (/ (pow y 2) z)))
(fma.f64 (neg.f64 y) (/.f64 y z) x)
x
(+ x (* -1 (/ (pow y 2) z)))
(fma.f64 (neg.f64 y) (/.f64 y z) x)
(+ x (* -1 (/ (pow y 2) z)))
(fma.f64 (neg.f64 y) (/.f64 y z) x)
(+ x (* -1 (/ (pow y 2) z)))
(fma.f64 (neg.f64 y) (/.f64 y z) x)
(* -1 (/ (pow y 2) z))
(*.f64 (neg.f64 y) (/.f64 y z))
(+ x (* -1 (/ (pow y 2) z)))
(fma.f64 (neg.f64 y) (/.f64 y z) x)
(+ x (* -1 (/ (pow y 2) z)))
(fma.f64 (neg.f64 y) (/.f64 y z) x)
(+ x (* -1 (/ (pow y 2) z)))
(fma.f64 (neg.f64 y) (/.f64 y z) x)
x
(* x (+ 1 (* -1 (/ (pow y 2) (* x z)))))
(.f64 (fma.f64 (neg.f64 y) (/.f64 y (.f64 z x)) #s(literal 1 binary64)) x)
(* x (+ 1 (* -1 (/ (pow y 2) (* x z)))))
(.f64 (fma.f64 (neg.f64 y) (/.f64 y (.f64 z x)) #s(literal 1 binary64)) x)
(* x (+ 1 (* -1 (/ (pow y 2) (* x z)))))
(.f64 (fma.f64 (neg.f64 y) (/.f64 y (.f64 z x)) #s(literal 1 binary64)) x)
x
(* -1 (* x (- (/ (pow y 2) (* x z)) 1)))
(.f64 (fma.f64 (neg.f64 y) (/.f64 y (.f64 z x)) #s(literal 1 binary64)) x)
(* -1 (* x (- (/ (pow y 2) (* x z)) 1)))
(.f64 (fma.f64 (neg.f64 y) (/.f64 y (.f64 z x)) #s(literal 1 binary64)) x)
(* -1 (* x (- (/ (pow y 2) (* x z)) 1)))
(.f64 (fma.f64 (neg.f64 y) (/.f64 y (.f64 z x)) #s(literal 1 binary64)) x)

rewrite266.0ms (3.7%)

Memory

9.0MiB live, 315.0MiB allocated

Rules

4 953×	`lower-fma.f32`
4 950×	`lower-fma.f64`
2 368×	`lower-*.f32`
2 365×	`lower-*.f64`
1 426×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	124
0	40	82
1	156	81
2	1147	81
0	9125	81

Stop Event

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

Counts

15 → 1 416

Calls

Call 1

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

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

eval663.0ms (9.1%)

Memory: 34.1MiB live, 736.1MiB allocated
Compiler: Compiled 80 148 to 3 950 computations (95.1% saved)

prune378.0ms (5.2%)

Memory

-38.0MiB live, 579.0MiB allocated

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	2 843	6	2 849
Fresh	2	1	3
Picked	3	2	5
Done	0	0	0
Total	2 848	9	2 857

Accuracy

100.0%

Counts

2 857 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 y z) y x)
▶	99.9%	(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) y x)
▶	53.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (/ y z) y) x) (*.f64 y (/.f64 y z)))))
	93.2%	(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) z))
	25.5%	(.f64 (fma.f64 (/.f64 y z) y x) (.f64 (fma.f64 (neg.f64 y) (/.f64 y z) x) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg y) (/ y z)) x) (*.f64 (neg.f64 y) (/.f64 y z))))))
▶	53.7%	#s(approx (/ 1 (/ 1 (+ (* (/ y z) y) x))) (*.f64 y (/.f64 y z)))
✓	47.9%	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
▶	53.7%	#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
▶	47.9%	#s(approx (+ x (/ (* y y) z)) (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y y)))

Compiler

Compiled 206 to 116 computations (43.7% saved)

simplify7.0ms (0.1%)

Memory

14.2MiB live, 14.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y (/.f64 y z))
cost-diff	0	#s(approx (+ (* (/ y z) y) x) (*.f64 y (/.f64 y z)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (+ (* (/ y z) y) x) (*.f64 y (/.f64 y z))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (/ y z) y) x) (*.f64 y (/.f64 y z)))))
cost-diff	0	(/.f64 z y)
cost-diff	0	#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
cost-diff	384	(/.f64 y (/.f64 z y))
cost-diff	0	(*.f64 y y)
cost-diff	0	(/.f64 #s(literal 1 binary64) z)
cost-diff	0	#s(approx (+ x (/ (* y y) z)) (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y y)))
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y y))
cost-diff	0	(/.f64 y z)
cost-diff	0	(*.f64 y (/.f64 y z))
cost-diff	0	#s(approx (/ 1 (/ 1 (+ (* (/ y z) y) x))) (*.f64 y (/.f64 y z)))
cost-diff	0	(/.f64 #s(literal 1 binary64) z)
cost-diff	0	(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) y x)
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) z) y)

Rules

27×	`lower-*.f32`
23×	`lower-*.f64`
16×	`lower-/.f32`
10×	`lower-/.f64`
9×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	157
0	39	149
1	57	135
2	78	135
3	98	135
4	104	135
0	104	135

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize96.0ms (1.3%)

Memory

-7.0MiB live, 74.3MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.11328125	(*.f64 y (/.f64 y z))
accuracy	0.12109375	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (/ y z) y) x) (*.f64 y (/.f64 y z)))))
accuracy	0.34371792565607495	(/.f64 #s(literal 1 binary64) #s(approx (+ (* (/ y z) y) x) (*.f64 y (/.f64 y z))))
accuracy	29.56923070581624	#s(approx (+ (* (/ y z) y) x) (*.f64 y (/.f64 y z)))
accuracy	0	(/.f64 z y)
accuracy	0.1328125	(/.f64 y (/.f64 z y))
accuracy	29.56923070581624	#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
accuracy	0	(/.f64 #s(literal 1 binary64) z)
accuracy	0	(*.f64 y y)
accuracy	7.388615028492318	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y y))
accuracy	29.56923070581624	#s(approx (+ x (/ (* y y) z)) (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y y)))
accuracy	0	(/.f64 y z)
accuracy	0.11328125	(*.f64 y (/.f64 y z))
accuracy	29.56923070581624	#s(approx (/ 1 (/ 1 (+ (* (/ y z) y) x))) (*.f64 y (/.f64 y z)))
accuracy	0	(/.f64 #s(literal 1 binary64) z)
accuracy	0.0625	(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) y x)
accuracy	0.16015625	(*.f64 (/.f64 #s(literal 1 binary64) z) y)

Samples

74.0ms

256×

valid

Compiler

Compiled 122 to 22 computations (82% saved)

Precisions

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

ival-mult: 41.0ms (68.3% of total)

ival-div: 15.0ms (25% of total)

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

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.2%)

Memory

12.9MiB live, 12.9MiB allocated

Counts

15 → 420

Calls

Call 1

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

Outputs
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#s(alt (/ y z) (taylor inf z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) y) (patch (.f64 (/.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor inf z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) y) (patch (.f64 (/.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor inf z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) y) (patch (.f64 (/.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor inf z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) y) (patch (.f64 (/.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor -inf z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) y) (patch (.f64 (/.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor -inf z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) y) (patch (.f64 (/.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor -inf z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) y) (patch (.f64 (/.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor -inf z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) y) (patch (.f64 (/.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 y) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) y) (patch (.f64 (/.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())) ())
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#s(alt (/ y z) (taylor 0 y) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) y) (patch (.f64 (/.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())) ())
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#s(alt (/ y z) (taylor inf y) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) y) (patch (.f64 (/.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor inf y) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) y) (patch (.f64 (/.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor -inf y) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) y) (patch (.f64 (/.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())) ())
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#s(alt (/ y z) (taylor -inf y) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) y) (patch (.f64 (/.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor -inf y) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) y) (patch (.f64 (/.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) z) (taylor 0 z) (#s(alt (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y x) (patch (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x z) (pow y 2)) z) (taylor 0 z) (#s(alt (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y x) (patch (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x z) (pow y 2)) z) (taylor 0 z) (#s(alt (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y x) (patch (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x z) (pow y 2)) z) (taylor 0 z) (#s(alt (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y x) (patch (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y x) #<representation binary64>) () ())) ())
#s(alt x (taylor inf z) (#s(alt (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y x) (patch (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y x) #<representation binary64>) () ())) ())
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#s(alt x (taylor -inf z) (#s(alt (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y x) (patch (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y x) #<representation binary64>) () ())) ())
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#s(alt (+ x (/ (pow y 2) z)) (taylor -inf z) (#s(alt (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y x) (patch (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow y 2) z)) (taylor -inf z) (#s(alt (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y x) (patch (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y x) (patch (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow y 2) z)) (taylor 0 y) (#s(alt (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y x) (patch (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow y 2) z)) (taylor 0 y) (#s(alt (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y x) (patch (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow y 2) z)) (taylor 0 y) (#s(alt (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y x) (patch (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y x) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) z) (taylor inf y) (#s(alt (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y x) (patch (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y x) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y x) (patch (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y x) #<representation binary64>) () ())) ())
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#s(alt (/ (pow y 2) z) (taylor -inf y) (#s(alt (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y x) (patch (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y x) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) (taylor -inf y) (#s(alt (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y x) (patch (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y x) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) (taylor -inf y) (#s(alt (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y x) (patch (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y x) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) (taylor -inf y) (#s(alt (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y x) (patch (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y x) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) z) (taylor 0 x) (#s(alt (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y x) (patch (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow y 2) z)) (taylor 0 x) (#s(alt (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y x) (patch (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow y 2) z)) (taylor 0 x) (#s(alt (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y x) (patch (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow y 2) z)) (taylor 0 x) (#s(alt (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y x) (patch (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y x) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y x) (patch (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (pow y 2) (* x z)))) (taylor inf x) (#s(alt (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y x) (patch (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (pow y 2) (* x z)))) (taylor inf x) (#s(alt (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y x) (patch (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (pow y 2) (* x z)))) (taylor inf x) (#s(alt (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y x) (patch (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y x) (patch (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y x) #<representation binary64>) () ())) ())
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#s(alt (/ 1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) z) (patch (/.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (/ 1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) z) (patch (/.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (/ 1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) z) (patch (/.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (/ 1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) z) (patch (/.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (/ 1 z) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) z) (patch (/.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (/ 1 z) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) z) (patch (/.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (/ 1 z) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) z) (patch (/.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ())
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#s(alt x (taylor 0 y) (#s(alt #s(approx (/ 1 (/ 1 (+ (* (/ y z) y) x))) (.f64 y (/.f64 y z))) (patch #s(approx (/ 1 (/ 1 (+ ( (/ y z) y) x))) (*.f64 y (/.f64 y z))) #<representation binary64>) () ())) ())
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#s(alt (/ z (pow y 2)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (/ y z) y) x) (.f64 y (/.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( (/ y z) y) x) (*.f64 y (/.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ (* x z) (pow y 4))) (/ 1 (pow y 2)))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (/ y z) y) x) (.f64 y (/.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( (/ y z) y) x) (*.f64 y (/.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* z (- (/ (* (pow x 2) z) (pow y 6)) (/ x (pow y 4)))) (/ 1 (pow y 2)))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (/ y z) y) x) (.f64 y (/.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( (/ y z) y) x) (*.f64 y (/.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* z (- (* z (- (* -1 (/ (* (pow x 3) z) (pow y 8))) (* -1 (/ (pow x 2) (pow y 6))))) (/ x (pow y 4)))) (/ 1 (pow y 2)))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (/ y z) y) x) (.f64 y (/.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( (/ y z) y) x) (*.f64 y (/.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (/ y z) y) x) (.f64 y (/.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( (/ y z) y) x) (*.f64 y (/.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow y 2) (* (pow x 2) z))) (/ 1 x)) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (/ y z) y) x) (.f64 y (/.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( (/ y z) y) x) (*.f64 y (/.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (/ 1 x) (/ (pow y 4) (* (pow x 3) (pow z 2)))) (/ (pow y 2) (* (pow x 2) z))) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (/ y z) y) x) (.f64 y (/.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( (/ y z) y) x) (*.f64 y (/.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ (pow y 6) (* (pow x 4) (pow z 3)))) (/ 1 x)) (+ (* -1 (/ (pow y 4) (* (pow x 3) (pow z 2)))) (/ (pow y 2) (* (pow x 2) z)))) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (/ y z) y) x) (.f64 y (/.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( (/ y z) y) x) (*.f64 y (/.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (/ y z) y) x) (.f64 y (/.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( (/ y z) y) x) (*.f64 y (/.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow y 2) (* (pow x 2) z))) (/ 1 x)) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (/ y z) y) x) (.f64 y (/.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( (/ y z) y) x) (*.f64 y (/.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (- (* -1 (/ (pow y 4) (* (pow x 3) z))) (* -1 (/ (pow y 2) (pow x 2)))) z)) (/ 1 x)) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (/ y z) y) x) (.f64 y (/.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( (/ y z) y) x) (*.f64 y (/.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 6) (* (pow x 4) z))) (* -1 (/ (pow y 4) (pow x 3)))) z)) (* -1 (/ (pow y 2) (pow x 2)))) z)) (/ 1 x)) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (/ y z) y) x) (.f64 y (/.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( (/ y z) y) x) (*.f64 y (/.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (/ z (pow y 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (/ y z) y) x) (.f64 y (/.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( (/ y z) y) x) (*.f64 y (/.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* x (pow z 2)) (pow y 4))) (/ z (pow y 2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (/ y z) y) x) (.f64 y (/.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( (/ y z) y) x) (*.f64 y (/.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- (/ (* x (pow z 3)) (pow y 6)) (/ (pow z 2) (pow y 4)))) (/ z (pow y 2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (/ y z) y) x) (.f64 y (/.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( (/ y z) y) x) (*.f64 y (/.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- (* x (- (* -1 (/ (* x (pow z 4)) (pow y 8))) (* -1 (/ (pow z 3) (pow y 6))))) (/ (pow z 2) (pow y 4)))) (/ z (pow y 2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (/ y z) y) x) (.f64 y (/.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( (/ y z) y) x) (*.f64 y (/.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (/ y z) y) x) (.f64 y (/.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( (/ y z) y) x) (*.f64 y (/.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (pow y 2) (* x z)))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (/ y z) y) x) (.f64 y (/.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( (/ y z) y) x) (*.f64 y (/.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (pow y 4) (* (pow x 2) (pow z 2)))) (/ (pow y 2) (* x z))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (/ y z) y) x) (.f64 y (/.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( (/ y z) y) x) (*.f64 y (/.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* -1 (/ (pow y 6) (* (pow x 3) (pow z 3))))) (+ (* -1 (/ (pow y 4) (* (pow x 2) (pow z 2)))) (/ (pow y 2) (* x z)))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (/ y z) y) x) (.f64 y (/.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( (/ y z) y) x) (*.f64 y (/.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (/ y z) y) x) (.f64 y (/.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( (/ y z) y) x) (*.f64 y (/.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (/ (pow y 2) (* x z)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (/ y z) y) x) (.f64 y (/.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( (/ y z) y) x) (*.f64 y (/.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) (* x (pow z 2))) (/ (pow y 2) z)) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (/ y z) y) x) (.f64 y (/.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( (/ y z) y) x) (*.f64 y (/.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 6) (* x (pow z 3))) (/ (pow y 4) (pow z 2))) x)) (/ (pow y 2) z)) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (/ y z) y) x) (.f64 y (/.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( (/ y z) y) x) (*.f64 y (/.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (+ (* (/ y z) y) x) (.f64 y (/.f64 y z))) (patch #s(approx (+ ( (/ y z) y) x) (*.f64 y (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow y 2) z)) (taylor 0 y) (#s(alt #s(approx (+ (* (/ y z) y) x) (.f64 y (/.f64 y z))) (patch #s(approx (+ ( (/ y z) y) x) (*.f64 y (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow y 2) z)) (taylor 0 y) (#s(alt #s(approx (+ (* (/ y z) y) x) (.f64 y (/.f64 y z))) (patch #s(approx (+ ( (/ y z) y) x) (*.f64 y (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow y 2) z)) (taylor 0 y) (#s(alt #s(approx (+ (* (/ y z) y) x) (.f64 y (/.f64 y z))) (patch #s(approx (+ ( (/ y z) y) x) (*.f64 y (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) z) (taylor inf y) (#s(alt #s(approx (+ (* (/ y z) y) x) (.f64 y (/.f64 y z))) (patch #s(approx (+ ( (/ y z) y) x) (*.f64 y (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) (taylor inf y) (#s(alt #s(approx (+ (* (/ y z) y) x) (.f64 y (/.f64 y z))) (patch #s(approx (+ ( (/ y z) y) x) (*.f64 y (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) (taylor inf y) (#s(alt #s(approx (+ (* (/ y z) y) x) (.f64 y (/.f64 y z))) (patch #s(approx (+ ( (/ y z) y) x) (*.f64 y (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) (taylor inf y) (#s(alt #s(approx (+ (* (/ y z) y) x) (.f64 y (/.f64 y z))) (patch #s(approx (+ ( (/ y z) y) x) (*.f64 y (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) z) (taylor -inf y) (#s(alt #s(approx (+ (* (/ y z) y) x) (.f64 y (/.f64 y z))) (patch #s(approx (+ ( (/ y z) y) x) (*.f64 y (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) (taylor -inf y) (#s(alt #s(approx (+ (* (/ y z) y) x) (.f64 y (/.f64 y z))) (patch #s(approx (+ ( (/ y z) y) x) (*.f64 y (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) (taylor -inf y) (#s(alt #s(approx (+ (* (/ y z) y) x) (.f64 y (/.f64 y z))) (patch #s(approx (+ ( (/ y z) y) x) (*.f64 y (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))) (taylor -inf y) (#s(alt #s(approx (+ (* (/ y z) y) x) (.f64 y (/.f64 y z))) (patch #s(approx (+ ( (/ y z) y) x) (*.f64 y (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) z) (taylor 0 z) (#s(alt #s(approx (+ (* (/ y z) y) x) (.f64 y (/.f64 y z))) (patch #s(approx (+ ( (/ y z) y) x) (*.f64 y (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x z) (pow y 2)) z) (taylor 0 z) (#s(alt #s(approx (+ (* (/ y z) y) x) (.f64 y (/.f64 y z))) (patch #s(approx (+ ( (/ y z) y) x) (*.f64 y (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x z) (pow y 2)) z) (taylor 0 z) (#s(alt #s(approx (+ (* (/ y z) y) x) (.f64 y (/.f64 y z))) (patch #s(approx (+ ( (/ y z) y) x) (*.f64 y (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x z) (pow y 2)) z) (taylor 0 z) (#s(alt #s(approx (+ (* (/ y z) y) x) (.f64 y (/.f64 y z))) (patch #s(approx (+ ( (/ y z) y) x) (*.f64 y (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf z) (#s(alt #s(approx (+ (* (/ y z) y) x) (.f64 y (/.f64 y z))) (patch #s(approx (+ ( (/ y z) y) x) (*.f64 y (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow y 2) z)) (taylor inf z) (#s(alt #s(approx (+ (* (/ y z) y) x) (.f64 y (/.f64 y z))) (patch #s(approx (+ ( (/ y z) y) x) (*.f64 y (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow y 2) z)) (taylor inf z) (#s(alt #s(approx (+ (* (/ y z) y) x) (.f64 y (/.f64 y z))) (patch #s(approx (+ ( (/ y z) y) x) (*.f64 y (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow y 2) z)) (taylor inf z) (#s(alt #s(approx (+ (* (/ y z) y) x) (.f64 y (/.f64 y z))) (patch #s(approx (+ ( (/ y z) y) x) (*.f64 y (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf z) (#s(alt #s(approx (+ (* (/ y z) y) x) (.f64 y (/.f64 y z))) (patch #s(approx (+ ( (/ y z) y) x) (*.f64 y (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow y 2) z)) (taylor -inf z) (#s(alt #s(approx (+ (* (/ y z) y) x) (.f64 y (/.f64 y z))) (patch #s(approx (+ ( (/ y z) y) x) (*.f64 y (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow y 2) z)) (taylor -inf z) (#s(alt #s(approx (+ (* (/ y z) y) x) (.f64 y (/.f64 y z))) (patch #s(approx (+ ( (/ y z) y) x) (*.f64 y (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow y 2) z)) (taylor -inf z) (#s(alt #s(approx (+ (* (/ y z) y) x) (.f64 y (/.f64 y z))) (patch #s(approx (+ ( (/ y z) y) x) (*.f64 y (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) z) (taylor 0 x) (#s(alt #s(approx (+ (* (/ y z) y) x) (.f64 y (/.f64 y z))) (patch #s(approx (+ ( (/ y z) y) x) (*.f64 y (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow y 2) z)) (taylor 0 x) (#s(alt #s(approx (+ (* (/ y z) y) x) (.f64 y (/.f64 y z))) (patch #s(approx (+ ( (/ y z) y) x) (*.f64 y (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow y 2) z)) (taylor 0 x) (#s(alt #s(approx (+ (* (/ y z) y) x) (.f64 y (/.f64 y z))) (patch #s(approx (+ ( (/ y z) y) x) (*.f64 y (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow y 2) z)) (taylor 0 x) (#s(alt #s(approx (+ (* (/ y z) y) x) (.f64 y (/.f64 y z))) (patch #s(approx (+ ( (/ y z) y) x) (*.f64 y (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt #s(approx (+ (* (/ y z) y) x) (.f64 y (/.f64 y z))) (patch #s(approx (+ ( (/ y z) y) x) (*.f64 y (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (pow y 2) (* x z)))) (taylor inf x) (#s(alt #s(approx (+ (* (/ y z) y) x) (.f64 y (/.f64 y z))) (patch #s(approx (+ ( (/ y z) y) x) (*.f64 y (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (pow y 2) (* x z)))) (taylor inf x) (#s(alt #s(approx (+ (* (/ y z) y) x) (.f64 y (/.f64 y z))) (patch #s(approx (+ ( (/ y z) y) x) (*.f64 y (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (pow y 2) (* x z)))) (taylor inf x) (#s(alt #s(approx (+ (* (/ y z) y) x) (.f64 y (/.f64 y z))) (patch #s(approx (+ ( (/ y z) y) x) (*.f64 y (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ (* (/ y z) y) x) (.f64 y (/.f64 y z))) (patch #s(approx (+ ( (/ y z) y) x) (*.f64 y (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ y z) y) x) (.f64 y (/.f64 y z))) (patch #s(approx (+ ( (/ y z) y) x) (*.f64 y (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ y z) y) x) (.f64 y (/.f64 y z))) (patch #s(approx (+ ( (/ y z) y) x) (*.f64 y (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ y z) y) x) (.f64 y (/.f64 y z))) (patch #s(approx (+ ( (/ y z) y) x) (*.f64 y (/.f64 y z))) #<representation binary64>) () ())) ())

Calls

105 calls:

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

simplify180.0ms (2.5%)

Memory

19.3MiB live, 208.3MiB allocated

Algorithm

1×	egg-herbie

Rules

4 167×	`lower-fma.f64`
4 167×	`lower-fma.f32`
2 462×	`lower-*.f64`
2 462×	`lower-*.f32`
1 347×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	183	2726
1	541	2702
2	1577	2634
3	6062	2632
0	8561	2457

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 390

Calls

Call 1

Inputs
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (pow y 2) z)
(/ (+ (* x z) (pow y 2)) z)
(/ (+ (* x z) (pow y 2)) z)
(/ (+ (* x z) (pow y 2)) z)
x
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
x
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
x
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(/ (pow y 2) z)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(/ (pow y 2) z)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(/ (pow y 2) z)
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
x
(* x (+ 1 (/ (pow y 2) (* x z))))
(* x (+ 1 (/ (pow y 2) (* x z))))
(* x (+ 1 (/ (pow y 2) (* x z))))
x
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
x
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(/ (pow y 2) z)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(/ (pow y 2) z)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(/ (pow y 2) z)
(/ (+ (* x z) (pow y 2)) z)
(/ (+ (* x z) (pow y 2)) z)
(/ (+ (* x z) (pow y 2)) z)
x
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
x
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(/ (pow y 2) z)
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(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 6) (* x (pow z 3))) (/ (pow y 4) (pow z 2))) x)) (/ (pow y 2) z)) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 z z)) (/.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (.f64 (.f64 z z) x) z))) (.f64 x x)) (fma.f64 (/.f64 y (*.f64 x z)) y #s(literal -1 binary64))) x)
x
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
(/ (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) (+ (/ 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)
(/ (+ (* 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)
x
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
x
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
(+ x (/ (pow y 2) z))
(fma.f64 (/.f64 y z) y x)
(/ (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
(* -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)

rewrite240.0ms (3.3%)

Memory

-11.0MiB live, 229.7MiB allocated

Rules

4 267×	`lower-fma.f32`
4 266×	`lower-fma.f64`
2 284×	`lower-*.f32`
2 280×	`lower-*.f64`
1 167×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	132
0	39	110
1	145	110
2	832	110
0	9003	110

Stop Event

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

Counts

15 → 602

Calls

Call 1

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

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

eval161.0ms (2.2%)

Memory: 11.8MiB live, 272.2MiB allocated
Compiler: Compiled 13 759 to 1 046 computations (92.4% saved)

prune141.0ms (1.9%)

Memory

-5.8MiB live, 242.7MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	1 149	1	1 150
Fresh	0	2	2
Picked	2	3	5
Done	0	2	2
Total	1 151	8	1 159

Accuracy

100.0%

Counts

1 159 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 y z) y x)
✓	53.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (/ y z) y) x) (*.f64 y (/.f64 y z)))))
▶	93.2%	(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) z))
▶	25.5%	(.f64 (fma.f64 (/.f64 y z) y x) (.f64 (fma.f64 (neg.f64 y) (/.f64 y z) x) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg y) (/ y z)) x) (*.f64 (neg.f64 y) (/.f64 y z))))))
✓	53.7%	#s(approx (/ 1 (/ 1 (+ (* (/ y z) y) x))) (*.f64 y (/.f64 y z)))
▶	53.7%	#s(approx (/ 1 (/ 1 (+ (* (/ y z) y) x))) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) y)))
✓	47.9%	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
✓	53.7%	#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))

Compiler

Compiled 101 to 56 computations (44.6% saved)

simplify141.0ms (1.9%)

Memory

8.1MiB live, 201.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 y y))
cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) z)
cost-diff	128	(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) z))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
cost-diff	0	(/.f64 y z)
cost-diff	0	(fma.f64 (/.f64 y z) y x)
cost-diff	0	(.f64 (fma.f64 (/.f64 y z) y x) (.f64 (fma.f64 (neg.f64 y) (/.f64 y z) x) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg y) (/ y z)) x) (*.f64 (neg.f64 y) (/.f64 y z))))))
cost-diff	320	(.f64 (fma.f64 (neg.f64 y) (/.f64 y z) x) (/.f64 #s(literal 1 binary64) #s(approx (+ ( (neg y) (/ y z)) x) (*.f64 (neg.f64 y) (/.f64 y z)))))
cost-diff	0	(/.f64 #s(literal 1 binary64) z)
cost-diff	0	(.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) y))
cost-diff	0	#s(approx (/ 1 (/ 1 (+ (* (/ y z) y) x))) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) y)))
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) z) y)

Rules

4 982×	`lower-fma.f32`
4 980×	`lower-fma.f64`
1 901×	`lower-*.f32`
1 895×	`lower-*.f64`
795×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	188
0	47	175
1	83	161
2	180	161
3	647	161
4	2791	161
5	6540	161
0	8527	161

Stop Event

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

Calls

Call 1

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

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

localize100.0ms (1.4%)

Memory

-10.0MiB live, 143.5MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) z))
accuracy	0.3893297742626306	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
accuracy	0.5593189811931959	(/.f64 #s(literal 1 binary64) (*.f64 y y))
accuracy	7.380138758955433	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) z)
accuracy	0.11328125	(*.f64 (neg.f64 y) (/.f64 y z))
accuracy	0.33981167565607495	(/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg y) (/ y z)) x) (*.f64 (neg.f64 y) (/.f64 y z))))
accuracy	17.31659332145612	(.f64 (fma.f64 (neg.f64 y) (/.f64 y z) x) (/.f64 #s(literal 1 binary64) #s(approx (+ ( (neg y) (/ y z)) x) (*.f64 (neg.f64 y) (/.f64 y z)))))
accuracy	29.563045141790347	#s(approx (+ (* (neg y) (/ y z)) x) (*.f64 (neg.f64 y) (/.f64 y z)))
accuracy	0	(/.f64 #s(literal 1 binary64) z)
accuracy	0.11328125	(.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) y))
accuracy	0.16015625	(*.f64 (/.f64 #s(literal 1 binary64) z) y)
accuracy	29.56923070581624	#s(approx (/ 1 (/ 1 (+ (* (/ y z) y) x))) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) y)))

Samples

43.0ms

256×

valid

Compiler

Compiled 164 to 25 computations (84.8% saved)

Precisions

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

ival-div: 13.0ms (46.5% of total)

ival-mult: 10.0ms (35.8% of total)

ival-add: 3.0ms (10.7% of total)

ival-neg: 1.0ms (3.6% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.2%)

Memory

28.6MiB live, 28.6MiB allocated

Counts

15 → 408

Calls

Call 1

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

Outputs
#s(alt (/ y z) (taylor 0 z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) y) (patch (.f64 (/.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) y) (patch (.f64 (/.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) y) (patch (.f64 (/.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) y) (patch (.f64 (/.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor inf z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) y) (patch (.f64 (/.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor inf z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) y) (patch (.f64 (/.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor inf z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) y) (patch (.f64 (/.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor inf z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) y) (patch (.f64 (/.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor -inf z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) y) (patch (.f64 (/.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor -inf z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) y) (patch (.f64 (/.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor -inf z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) y) (patch (.f64 (/.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor -inf z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) y) (patch (.f64 (/.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 y) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) y) (patch (.f64 (/.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 y) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) y) (patch (.f64 (/.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 y) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) z) y) (patch (.f64 (/.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())) ())
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#s(alt (/ (+ (* -1 z) (* -1 (/ (* x (pow z 2)) (pow y 2)))) (pow y 2)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg y) (/ y z)) x) (.f64 (neg.f64 y) (/.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( (neg y) (/ y z)) x) (*.f64 (neg.f64 y) (/.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 z) (* -1 (/ (* (pow x 2) (pow z 3)) (pow y 4)))) (/ (* x (pow z 2)) (pow y 2))) (pow y 2)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg y) (/ y z)) x) (.f64 (neg.f64 y) (/.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( (neg y) (/ y z)) x) (*.f64 (neg.f64 y) (/.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 z) (* -1 (/ (* (pow x 3) (pow z 4)) (pow y 6)))) (+ (/ (* x (pow z 2)) (pow y 2)) (/ (* (pow x 2) (pow z 3)) (pow y 4)))) (pow y 2)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg y) (/ y z)) x) (.f64 (neg.f64 y) (/.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( (neg y) (/ y z)) x) (*.f64 (neg.f64 y) (/.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ z (pow y 2))) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg y) (/ y z)) x) (.f64 (neg.f64 y) (/.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( (neg y) (/ y z)) x) (*.f64 (neg.f64 y) (/.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 z) (* -1 (/ (* x (pow z 2)) (pow y 2)))) (pow y 2)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg y) (/ y z)) x) (.f64 (neg.f64 y) (/.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( (neg y) (/ y z)) x) (*.f64 (neg.f64 y) (/.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 z) (* -1 (/ (* (pow x 2) (pow z 3)) (pow y 4)))) (/ (* x (pow z 2)) (pow y 2))) (pow y 2)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg y) (/ y z)) x) (.f64 (neg.f64 y) (/.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( (neg y) (/ y z)) x) (*.f64 (neg.f64 y) (/.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 z) (* -1 (/ (* (pow x 3) (pow z 4)) (pow y 6)))) (+ (/ (* x (pow z 2)) (pow y 2)) (/ (* (pow x 2) (pow z 3)) (pow y 4)))) (pow y 2)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg y) (/ y z)) x) (.f64 (neg.f64 y) (/.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( (neg y) (/ y z)) x) (*.f64 (neg.f64 y) (/.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ z (pow y 2))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg y) (/ y z)) x) (.f64 (neg.f64 y) (/.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( (neg y) (/ y z)) x) (*.f64 (neg.f64 y) (/.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* -1 (/ (* x z) (pow y 4))) (/ 1 (pow y 2)))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg y) (/ y z)) x) (.f64 (neg.f64 y) (/.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( (neg y) (/ y z)) x) (*.f64 (neg.f64 y) (/.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* z (- (* -1 (/ (* (pow x 2) z) (pow y 6))) (/ x (pow y 4)))) (/ 1 (pow y 2)))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg y) (/ y z)) x) (.f64 (neg.f64 y) (/.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( (neg y) (/ y z)) x) (*.f64 (neg.f64 y) (/.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* z (- (* z (- (* -1 (/ (* (pow x 3) z) (pow y 8))) (/ (pow x 2) (pow y 6)))) (/ x (pow y 4)))) (/ 1 (pow y 2)))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg y) (/ y z)) x) (.f64 (neg.f64 y) (/.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( (neg y) (/ y z)) x) (*.f64 (neg.f64 y) (/.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg y) (/ y z)) x) (.f64 (neg.f64 y) (/.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( (neg y) (/ y z)) x) (*.f64 (neg.f64 y) (/.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 x) (/ (pow y 2) (* (pow x 2) z))) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg y) (/ y z)) x) (.f64 (neg.f64 y) (/.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( (neg y) (/ y z)) x) (*.f64 (neg.f64 y) (/.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (/ 1 x) (/ (pow y 4) (* (pow x 3) (pow z 2)))) (* -1 (/ (pow y 2) (* (pow x 2) z)))) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg y) (/ y z)) x) (.f64 (neg.f64 y) (/.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( (neg y) (/ y z)) x) (*.f64 (neg.f64 y) (/.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (/ 1 x) (/ (pow y 6) (* (pow x 4) (pow z 3)))) (+ (* -1 (/ (pow y 2) (* (pow x 2) z))) (* -1 (/ (pow y 4) (* (pow x 3) (pow z 2)))))) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg y) (/ y z)) x) (.f64 (neg.f64 y) (/.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( (neg y) (/ y z)) x) (*.f64 (neg.f64 y) (/.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg y) (/ y z)) x) (.f64 (neg.f64 y) (/.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( (neg y) (/ y z)) x) (*.f64 (neg.f64 y) (/.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 x) (/ (pow y 2) (* (pow x 2) z))) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg y) (/ y z)) x) (.f64 (neg.f64 y) (/.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( (neg y) (/ y z)) x) (*.f64 (neg.f64 y) (/.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (- (* -1 (/ (pow y 4) (* (pow x 3) z))) (/ (pow y 2) (pow x 2))) z)) (/ 1 x)) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg y) (/ y z)) x) (.f64 (neg.f64 y) (/.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( (neg y) (/ y z)) x) (*.f64 (neg.f64 y) (/.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (- (* -1 (/ (- (/ (pow y 6) (* (pow x 4) z)) (* -1 (/ (pow y 4) (pow x 3)))) z)) (/ (pow y 2) (pow x 2))) z)) (/ 1 x)) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg y) (/ y z)) x) (.f64 (neg.f64 y) (/.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( (neg y) (/ y z)) x) (*.f64 (neg.f64 y) (/.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ z (pow y 2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg y) (/ y z)) x) (.f64 (neg.f64 y) (/.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( (neg y) (/ y z)) x) (*.f64 (neg.f64 y) (/.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ z (pow y 2))) (* -1 (/ (* x (pow z 2)) (pow y 4)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg y) (/ y z)) x) (.f64 (neg.f64 y) (/.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( (neg y) (/ y z)) x) (*.f64 (neg.f64 y) (/.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ z (pow y 2))) (* x (- (* -1 (/ (* x (pow z 3)) (pow y 6))) (/ (pow z 2) (pow y 4))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg y) (/ y z)) x) (.f64 (neg.f64 y) (/.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( (neg y) (/ y z)) x) (*.f64 (neg.f64 y) (/.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ z (pow y 2))) (* x (- (* x (- (* -1 (/ (* x (pow z 4)) (pow y 8))) (/ (pow z 3) (pow y 6)))) (/ (pow z 2) (pow y 4))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg y) (/ y z)) x) (.f64 (neg.f64 y) (/.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( (neg y) (/ y z)) x) (*.f64 (neg.f64 y) (/.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg y) (/ y z)) x) (.f64 (neg.f64 y) (/.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( (neg y) (/ y z)) x) (*.f64 (neg.f64 y) (/.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (/ (pow y 2) (* x z))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg y) (/ y z)) x) (.f64 (neg.f64 y) (/.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( (neg y) (/ y z)) x) (*.f64 (neg.f64 y) (/.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (pow y 4) (* (pow x 2) (pow z 2)))) (* -1 (/ (pow y 2) (* x z)))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg y) (/ y z)) x) (.f64 (neg.f64 y) (/.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( (neg y) (/ y z)) x) (*.f64 (neg.f64 y) (/.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (pow y 6) (* (pow x 3) (pow z 3)))) (+ (* -1 (/ (pow y 2) (* x z))) (* -1 (/ (pow y 4) (* (pow x 2) (pow z 2)))))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg y) (/ y z)) x) (.f64 (neg.f64 y) (/.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( (neg y) (/ y z)) x) (*.f64 (neg.f64 y) (/.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg y) (/ y z)) x) (.f64 (neg.f64 y) (/.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( (neg y) (/ y z)) x) (*.f64 (neg.f64 y) (/.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (pow y 2) (* x z))) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg y) (/ y z)) x) (.f64 (neg.f64 y) (/.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( (neg y) (/ y z)) x) (*.f64 (neg.f64 y) (/.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) (* x (pow z 2))) (* -1 (/ (pow y 2) z))) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg y) (/ y z)) x) (.f64 (neg.f64 y) (/.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( (neg y) (/ y z)) x) (*.f64 (neg.f64 y) (/.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 6) (* x (pow z 3)))) (/ (pow y 4) (pow z 2))) x)) (* -1 (/ (pow y 2) z))) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg y) (/ y z)) x) (.f64 (neg.f64 y) (/.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( (neg y) (/ y z)) x) (*.f64 (neg.f64 y) (/.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow y 2) z)) (taylor 0 y) (#s(alt (.f64 (neg.f64 y) (/.f64 y z)) (patch (.f64 (neg.f64 y) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow y 2) z)) (taylor 0 y) (#s(alt (.f64 (neg.f64 y) (/.f64 y z)) (patch (.f64 (neg.f64 y) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow y 2) z)) (taylor 0 y) (#s(alt (.f64 (neg.f64 y) (/.f64 y z)) (patch (.f64 (neg.f64 y) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow y 2) z)) (taylor 0 y) (#s(alt (.f64 (neg.f64 y) (/.f64 y z)) (patch (.f64 (neg.f64 y) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow y 2) z)) (taylor inf y) (#s(alt (.f64 (neg.f64 y) (/.f64 y z)) (patch (.f64 (neg.f64 y) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow y 2) z)) (taylor inf y) (#s(alt (.f64 (neg.f64 y) (/.f64 y z)) (patch (.f64 (neg.f64 y) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow y 2) z)) (taylor inf y) (#s(alt (.f64 (neg.f64 y) (/.f64 y z)) (patch (.f64 (neg.f64 y) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow y 2) z)) (taylor inf y) (#s(alt (.f64 (neg.f64 y) (/.f64 y z)) (patch (.f64 (neg.f64 y) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow y 2) z)) (taylor -inf y) (#s(alt (.f64 (neg.f64 y) (/.f64 y z)) (patch (.f64 (neg.f64 y) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow y 2) z)) (taylor -inf y) (#s(alt (.f64 (neg.f64 y) (/.f64 y z)) (patch (.f64 (neg.f64 y) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow y 2) z)) (taylor -inf y) (#s(alt (.f64 (neg.f64 y) (/.f64 y z)) (patch (.f64 (neg.f64 y) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow y 2) z)) (taylor -inf y) (#s(alt (.f64 (neg.f64 y) (/.f64 y z)) (patch (.f64 (neg.f64 y) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow y 2) z)) (taylor 0 z) (#s(alt (.f64 (neg.f64 y) (/.f64 y z)) (patch (.f64 (neg.f64 y) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow y 2) z)) (taylor 0 z) (#s(alt (.f64 (neg.f64 y) (/.f64 y z)) (patch (.f64 (neg.f64 y) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow y 2) z)) (taylor 0 z) (#s(alt (.f64 (neg.f64 y) (/.f64 y z)) (patch (.f64 (neg.f64 y) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow y 2) z)) (taylor 0 z) (#s(alt (.f64 (neg.f64 y) (/.f64 y z)) (patch (.f64 (neg.f64 y) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow y 2) z)) (taylor inf z) (#s(alt (.f64 (neg.f64 y) (/.f64 y z)) (patch (.f64 (neg.f64 y) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow y 2) z)) (taylor inf z) (#s(alt (.f64 (neg.f64 y) (/.f64 y z)) (patch (.f64 (neg.f64 y) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow y 2) z)) (taylor inf z) (#s(alt (.f64 (neg.f64 y) (/.f64 y z)) (patch (.f64 (neg.f64 y) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow y 2) z)) (taylor inf z) (#s(alt (.f64 (neg.f64 y) (/.f64 y z)) (patch (.f64 (neg.f64 y) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow y 2) z)) (taylor -inf z) (#s(alt (.f64 (neg.f64 y) (/.f64 y z)) (patch (.f64 (neg.f64 y) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow y 2) z)) (taylor -inf z) (#s(alt (.f64 (neg.f64 y) (/.f64 y z)) (patch (.f64 (neg.f64 y) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow y 2) z)) (taylor -inf z) (#s(alt (.f64 (neg.f64 y) (/.f64 y z)) (patch (.f64 (neg.f64 y) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow y 2) z)) (taylor -inf z) (#s(alt (.f64 (neg.f64 y) (/.f64 y z)) (patch (.f64 (neg.f64 y) (/.f64 y z)) #<representation binary64>) () ())) ())

Calls

102 calls:

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

simplify741.0ms (10.2%)

Memory

-45.3MiB live, 258.7MiB allocated

Algorithm

1×	egg-herbie

Rules

6 766×	`lower-fma.f64`
6 766×	`lower-fma.f32`
2 505×	`lower-*.f64`
2 505×	`lower-*.f32`
1 644×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	190	2886
1	560	2845
2	1727	2778
3	6745	2776
0	8453	2635

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 383

Calls

Call 1

Inputs
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
x
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(/ (pow y 2) z)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(/ (pow y 2) z)
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(* (pow y 2) (+ (/ 1 z) (/ x (pow y 2))))
(/ (pow y 2) z)
(/ (+ (* x z) (pow y 2)) z)
(/ (+ (* x z) (pow y 2)) z)
(/ (+ (* x z) (pow y 2)) z)
x
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
x
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(/ (pow y 2) z)
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
(+ x (/ (pow y 2) z))
x
(* x (+ 1 (/ (pow y 2) (* x z))))
(* x (+ 1 (/ (pow y 2) (* x z))))
(* x (+ 1 (/ (pow y 2) (* x z))))
x
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1)))
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
1
1
1
1
1
1
1
1
1
1
1
1
1
1
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(fma.f64 (.f64 (neg.f64 x) x) (.f64 (.f64 z (/.f64 z (pow.f64 y #s(literal 6 binary64)))) z) (/.f64 (neg.f64 (fma.f64 (.f64 (/.f64 z (.f64 y y)) z) x z)) (.f64 y y)))
(+ (* -1 (/ z (pow y 2))) (* x (- (* x (- (* -1 (/ (* x (pow z 4)) (pow y 8))) (/ (pow z 3) (pow y 6)))) (/ (pow z 2) (pow y 4)))))
(fma.f64 (neg.f64 (fma.f64 (.f64 z (/.f64 z (pow.f64 y #s(literal 6 binary64)))) z (.f64 (/.f64 x (pow.f64 y #s(literal 8 binary64))) (pow.f64 z #s(literal 4 binary64))))) (.f64 x x) (/.f64 (neg.f64 (fma.f64 (.f64 (/.f64 z (.f64 y y)) z) x z)) (.f64 y y)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (/ (pow y 2) (* x z))) x)
(/.f64 (fma.f64 (/.f64 y (*.f64 x z)) y #s(literal 1 binary64)) x)
(/ (- (+ 1 (/ (pow y 4) (* (pow x 2) (pow z 2)))) (* -1 (/ (pow y 2) (* x z)))) x)
(/.f64 (+.f64 (fma.f64 (/.f64 y (.f64 x z)) y #s(literal 1 binary64)) (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (.f64 (*.f64 z z) x) x))) x)
(/ (- (+ 1 (/ (pow y 6) (* (pow x 3) (pow z 3)))) (+ (* -1 (/ (pow y 2) (* x z))) (* -1 (/ (pow y 4) (* (pow x 2) (pow z 2)))))) x)
(/.f64 (+.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 z z) x) x) x) z)) (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (.f64 (.f64 z z) x) x))) (fma.f64 (/.f64 y (.f64 x z)) y #s(literal 1 binary64))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (* -1 (/ (pow y 2) (* x z))) 1) x))
(/.f64 (fma.f64 (/.f64 y (*.f64 x z)) y #s(literal 1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (/ (pow y 4) (* x (pow z 2))) (* -1 (/ (pow y 2) z))) x)) 1) x))
(/.f64 (+.f64 (fma.f64 (/.f64 y (.f64 x z)) y #s(literal 1 binary64)) (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (.f64 (*.f64 z z) x) x))) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 6) (* x (pow z 3)))) (/ (pow y 4) (pow z 2))) x)) (* -1 (/ (pow y 2) z))) x)) 1) x))
(/.f64 (-.f64 (fma.f64 (/.f64 y (.f64 x z)) y (/.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 z z)) (/.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (.f64 (.f64 z z) x) z))) (*.f64 x x))) #s(literal -1 binary64)) x)
(* -1 (/ (pow y 2) z))
(*.f64 (neg.f64 y) (/.f64 y z))
(* -1 (/ (pow y 2) z))
(*.f64 (neg.f64 y) (/.f64 y z))
(* -1 (/ (pow y 2) z))
(*.f64 (neg.f64 y) (/.f64 y z))
(* -1 (/ (pow y 2) z))
(*.f64 (neg.f64 y) (/.f64 y z))
(* -1 (/ (pow y 2) z))
(*.f64 (neg.f64 y) (/.f64 y z))
(* -1 (/ (pow y 2) z))
(*.f64 (neg.f64 y) (/.f64 y z))
(* -1 (/ (pow y 2) z))
(*.f64 (neg.f64 y) (/.f64 y z))
(* -1 (/ (pow y 2) z))
(*.f64 (neg.f64 y) (/.f64 y z))
(* -1 (/ (pow y 2) z))
(*.f64 (neg.f64 y) (/.f64 y z))
(* -1 (/ (pow y 2) z))
(*.f64 (neg.f64 y) (/.f64 y z))
(* -1 (/ (pow y 2) z))
(*.f64 (neg.f64 y) (/.f64 y z))
(* -1 (/ (pow y 2) z))
(*.f64 (neg.f64 y) (/.f64 y z))
(* -1 (/ (pow y 2) z))
(*.f64 (neg.f64 y) (/.f64 y z))
(* -1 (/ (pow y 2) z))
(*.f64 (neg.f64 y) (/.f64 y z))
(* -1 (/ (pow y 2) z))
(*.f64 (neg.f64 y) (/.f64 y z))
(* -1 (/ (pow y 2) z))
(*.f64 (neg.f64 y) (/.f64 y z))
(* -1 (/ (pow y 2) z))
(*.f64 (neg.f64 y) (/.f64 y z))
(* -1 (/ (pow y 2) z))
(*.f64 (neg.f64 y) (/.f64 y z))
(* -1 (/ (pow y 2) z))
(*.f64 (neg.f64 y) (/.f64 y z))
(* -1 (/ (pow y 2) z))
(*.f64 (neg.f64 y) (/.f64 y z))
(* -1 (/ (pow y 2) z))
(*.f64 (neg.f64 y) (/.f64 y z))
(* -1 (/ (pow y 2) z))
(*.f64 (neg.f64 y) (/.f64 y z))
(* -1 (/ (pow y 2) z))
(*.f64 (neg.f64 y) (/.f64 y z))
(* -1 (/ (pow y 2) z))
(*.f64 (neg.f64 y) (/.f64 y z))

rewrite303.0ms (4.2%)

Memory

-2.5MiB live, 191.8MiB allocated

Rules

2 917×	`lower-fma.f32`
2 915×	`lower-fma.f64`
2 086×	`lower-*.f32`
2 080×	`lower-*.f64`
1 738×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	165
0	47	138
1	171	133
2	1199	133
0	8774	133

Stop Event

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

Counts

15 → 938

Calls

Call 1

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

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

eval304.0ms (4.2%)

Memory: 33.3MiB live, 215.0MiB allocated
Compiler: Compiled 38 458 to 2 223 computations (94.2% saved)

prune285.0ms (3.9%)

Memory

-11.3MiB live, 354.7MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	1 407	2	1 409
Fresh	0	0	0
Picked	1	2	3
Done	1	4	5
Total	1 409	8	1 417

Accuracy

100.0%

Counts

1 417 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 y z) y x)
✓	93.2%	(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) z))
	24.6%	(.f64 #s(approx (+ ( (/ y z) y) x) (.f64 (/.f64 y z) y)) (.f64 (fma.f64 (neg.f64 y) (/.f64 y z) x) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg y) (/ y z)) x) (*.f64 (neg.f64 y) (/.f64 y z))))))
	85.2%	#s(approx (/ 1 (/ 1 (+ (* (/ y z) y) x))) (.f64 (fma.f64 (/.f64 y (.f64 x z)) y #s(literal 1 binary64)) x))
✓	53.7%	#s(approx (/ 1 (/ 1 (+ (* (/ y z) y) x))) (*.f64 y (/.f64 y z)))
✓	53.7%	#s(approx (/ 1 (/ 1 (+ (* (/ y z) y) x))) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) y)))
✓	47.9%	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
✓	53.7%	#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))

Compiler

Compiled 298 to 102 computations (65.8% saved)

regimes33.0ms (0.5%)

Memory

-1.8MiB live, 75.7MiB allocated

Counts

18 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

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

Compiler

Compiled 36 to 24 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory

25.3MiB live, 25.3MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
53.7%	1	`x`
53.7%	1	`y`
53.7%	1	`z`
53.7%	1	`(+.f64 x (/.f64 (*.f64 y y) z))`
53.7%	1	`(/.f64 (*.f64 y y) z)`
53.7%	1	`(*.f64 y y)`

Compiler

Compiled 36 to 24 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory

-16.0MiB live, 22.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

3.0ms	y
1.0ms	z
1.0ms	x
1.0ms	(+.f64 x (/.f64 (*.f64 y y) z))
1.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
47.9%	1	`(/.f64 (*.f64 y y) z)`
47.9%	1	`z`
47.9%	1	`x`
47.9%	1	`(+.f64 x (/.f64 (*.f64 y y) z))`
47.9%	1	`y`
47.9%	1	`(*.f64 y y)`

Compiler

Compiled 36 to 24 computations (33.3% saved)

simplify6.0ms (0.1%)

Memory

15.0MiB live, 15.0MiB allocated

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`
1×	`1-exp_binary64`
1×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	36
1	23	36

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness571.0ms (7.9%)

Memory

-24.5MiB live, 414.6MiB allocated

Rules

10 291×	`lower-fma.f64`
10 291×	`lower-fma.f32`
3 142×	`lower-*.f64`
3 142×	`lower-*.f32`
2 284×	`lower-fma.f64`

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
0	278	3634
1	859	3566
2	2512	3455
0	8372	3273
0	23	376
1	58	376
2	150	376
3	489	376
4	2218	376
5	4057	376
6	6054	376
7	7774	376
0	8059	349

Stop Event

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

Compiler

Compiled 84 to 39 computations (53.6% saved)

preprocess108.0ms (1.5%)

Memory: 12.5MiB live, 101.4MiB allocated
Remove: (abs y)
Compiler: Compiled 118 to 60 computations (49.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze50.0ms (0.7%)

sample983.0ms (13.6%)

explain96.0ms (1.3%)

preprocess69.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize17.0ms (0.2%)

series17.0ms (0.2%)

simplify216.0ms (3%)

rewrite382.0ms (5.3%)

eval50.0ms (0.7%)

prune50.0ms (0.7%)

simplify138.0ms (1.9%)

localize89.0ms (1.2%)

series30.0ms (0.4%)

simplify279.0ms (3.9%)

rewrite266.0ms (3.7%)

eval663.0ms (9.1%)

prune378.0ms (5.2%)

simplify7.0ms (0.1%)

localize96.0ms (1.3%)

series15.0ms (0.2%)

simplify180.0ms (2.5%)

rewrite240.0ms (3.3%)

eval161.0ms (2.2%)

prune141.0ms (1.9%)

simplify141.0ms (1.9%)

localize100.0ms (1.4%)

series15.0ms (0.2%)

simplify741.0ms (10.2%)

rewrite303.0ms (4.2%)

eval304.0ms (4.2%)

prune285.0ms (3.9%)

regimes33.0ms (0.5%)

regimes9.0ms (0.1%)

regimes9.0ms (0.1%)

simplify6.0ms (0.1%)

soundness571.0ms (7.9%)

preprocess108.0ms (1.5%)

end0.0ms (0%)

Profiling