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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze47.0ms (0.8%)

Memory

-11.7MiB live, 71.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.0s (18.9%)

Memory

29.0MiB live, 1 107.6MiB allocated

Samples

555.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 320.0ms

ival-mult: 176.0ms (55.1% of total)

ival-div: 84.0ms (26.3% of total)

ival-add: 51.0ms (16% of total)

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

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

Bogosity

explain80.0ms (1.5%)

Memory

-12.6MiB live, 181.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
30	1	(9.351393550297174e-297 1.3907949551996953e-251 2.9003739635332992e-179)	1	(6.579557137098822e+94 1.964525782932746e-158 2.9103822027034755e-266)	`(/.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	10	0
↳	`(*.f64 y y)`	overflow	71
`/.f64`	`(/.f64 (*.f64 y y) z)`	u/n	2	0
↳	`(*.f64 y y)`	underflow	78

Confusion

	Predicted +	Predicted -
+	11	0
-	1	244

Precision

0.9166666666666666

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	11	0	0
-	1	0	244

Precision?

0.9166666666666666

Recall?

1.0

Freqs

test

number	freq
0	244
1	12

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

26.0ms

512×

valid

Compiler

Compiled 50 to 22 computations (56% saved)

Precisions

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

ival-mult: 4.0ms (38.3% of total)

ival-div: 3.0ms (28.8% of total)

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

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

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

preprocess57.0ms (1%)

Memory

21.0MiB live, 55.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs y)

Compiler

Compiled 10 to 6 computations (40% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.9%	(+.f64 x (/.f64 (*.f64 y y) z))

Compiler

Compiled 10 to 6 computations (40% saved)

simplify4.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize21.0ms (0.4%)

Memory

-3.8MiB live, 33.2MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x (/.f64 (*.f64 y y) z))
accuracy	0	(*.f64 y y)
accuracy	6.755627264417429	(/.f64 (*.f64 y y) z)

Samples

15.0ms

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 (39.6% of total)

ival-mult: 2.0ms (39.6% of total)

ival-add: 1.0ms (19.8% of total)

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

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

series23.0ms (0.4%)

Memory

-30.5MiB live, 16.3MiB allocated

Counts

3 → 72

Calls

Call 1

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

Inputs

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

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

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

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

Calls

18 calls:

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

simplify147.0ms (2.7%)

Memory

32.4MiB live, 220.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 67

Calls

Call 1

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

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

rewrite209.0ms (3.8%)

Memory

-6.5MiB live, 317.3MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

3 → 147

Calls

Call 1

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

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

eval25.0ms (0.4%)

Memory: -16.6MiB live, 58.4MiB allocated
Compiler: Compiled 4 076 to 417 computations (89.8% saved)

prune32.0ms (0.6%)

Memory

21.0MiB live, 66.6MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

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

Accuracy

100.0%

Counts

215 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (/.f64 y z) y x)
▶	95.9%	(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)
▶	99.9%	(+.f64 x (/.f64 y (/.f64 z y)))
▶	45.5%	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))

Compiler

Compiled 102 to 62 computations (39.2% saved)

simplify47.0ms (0.9%)

Memory

-6.6MiB live, 31.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize72.0ms (1.3%)

Memory

-2.2MiB live, 193.0MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal -1 binary64) z)
accuracy	0	(neg.f64 y)
accuracy	0.0625	(fma.f64 (neg.f64 y) (*.f64 y (/.f64 #s(literal -1 binary64) z)) x)
accuracy	0.2109375	(*.f64 y (/.f64 #s(literal -1 binary64) z))
accuracy	0	(/.f64 #s(literal 1 binary64) z)
accuracy	0	(*.f64 y y)
accuracy	2.6105503684836653	(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y) x)
accuracy	0	(/.f64 y z)
accuracy	0.0625	(fma.f64 (/.f64 y z) y x)
accuracy	0	(*.f64 y y)
accuracy	6.755627264417429	(/.f64 (*.f64 y y) z)
accuracy	32.62538288584856	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
accuracy	0	(/.f64 z y)
accuracy	0	(+.f64 x (/.f64 y (/.f64 z y)))
accuracy	0.12890625	(/.f64 y (/.f64 z y))

Samples

45.0ms

256×

valid

Compiler

Compiled 93 to 24 computations (74.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 12.0ms (38.8% of total)

ival-div: 10.0ms (32.3% of total)

ival-add: 7.0ms (22.6% of total)

ival-neg: 1.0ms (3.2% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.3%)

Memory

9.6MiB live, 48.7MiB allocated

Counts

14 → 348

Calls

Call 1

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

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

Calls

87 calls:

Time	Variable		Point	Expression
1.0ms	z	@	inf	(/ z y)
0.0ms	z	@	-inf	(/ z y)
0.0ms	z	@	0	(/ z y)
0.0ms	y	@	-inf	(/ y z)
0.0ms	z	@	0	(/ y z)

simplify188.0ms (3.4%)

Memory

-19.2MiB live, 194.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 323

Calls

Call 1

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

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

rewrite694.0ms (12.6%)

Memory

21.7MiB live, 251.1MiB allocated

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

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

Counts

14 → 660

Calls

Call 1

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

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

eval275.0ms (5%)

Memory: -12.6MiB live, 139.7MiB allocated
Compiler: Compiled 15 435 to 785 computations (94.9% saved)

prune204.0ms (3.7%)

Memory

12.6MiB live, 146.0MiB allocated

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	1 008	5	1 013
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	1 011	7	1 018

Accuracy

100.0%

Counts

1 018 → 7

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)
▶	99.9%	(+.f64 x (/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) y)))
✓	45.5%	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
▶	48.9%	#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
▶	48.9%	#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
▶	45.5%	#s(approx (+ x (/ (* y y) z)) (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y y)))

Compiler

Compiled 122 to 74 computations (39.3% saved)

simplify20.0ms (0.4%)

Memory

-25.0MiB live, 11.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
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)
cost-diff	0	(/.f64 z y)
cost-diff	0	#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
cost-diff	384	(/.f64 y (/.f64 z y))
cost-diff	0	(*.f64 y y)
cost-diff	0	(/.f64 #s(literal 1 binary64) z)
cost-diff	0	#s(approx (+ x (/ (* y y) z)) (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y y)))
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y y))
cost-diff	0	(/.f64 y z)
cost-diff	0	(*.f64 (/.f64 y z) y)
cost-diff	0	#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
cost-diff	0	(/.f64 #s(literal 1 binary64) y)
cost-diff	0	(/.f64 y z)
cost-diff	128	(+.f64 x (/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) y)))
cost-diff	1088	(/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) y))

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	123
0	35	124
1	54	107
2	69	107
3	121	107
4	183	107
5	190	107
6	200	107
7	202	107
0	202	107

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize174.0ms (3.2%)

Memory

-7.4MiB live, 77.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 1 binary64) z)
accuracy	0.0625	(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) y x)
accuracy	0.2109375	(*.f64 (/.f64 #s(literal 1 binary64) z) y)
accuracy	0	(/.f64 z y)
accuracy	0.12890625	(/.f64 y (/.f64 z y))
accuracy	32.62538288584856	#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	6.779064764417429	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y y))
accuracy	32.62538288584856	#s(approx (+ x (/ (* y y) z)) (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y y)))
accuracy	0	(/.f64 y z)
accuracy	0.12890625	(*.f64 (/.f64 y z) y)
accuracy	32.62538288584856	#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
accuracy	0	(/.f64 y z)
accuracy	0	(/.f64 #s(literal 1 binary64) y)
accuracy	0	(+.f64 x (/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) y)))
accuracy	0.15625	(/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) y))

Samples

93.0ms

256×

valid

Compiler

Compiled 106 to 21 computations (80.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-mult: 64.0ms (80.3% of total)

ival-div: 12.0ms (15.1% of total)

ival-add: 4.0ms (5% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Memory

19.0MiB live, 19.0MiB allocated

Counts

15 → 384

Calls

Call 1

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

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

Calls

96 calls:

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

simplify160.0ms (2.9%)

Memory

-2.1MiB live, 224.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	1904
1	61	1904
2	152	1904
3	491	1904
4	2258	1904
5	4098	1904
6	6109	1904
7	7898	1904
0	8183	1769

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 359

Calls

Call 1

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

rewrite445.0ms (8.1%)

Memory

-5.0MiB live, 444.5MiB allocated

Rules

4 978×	`lower-/.f32`
4 966×	`lower-/.f64`
4 760×	`lower-fma.f32`
4 758×	`lower-fma.f64`
4 482×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	102
0	35	100
1	128	86
2	985	86
0	8399	86

Stop Event

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

Counts

15 → 646

Calls

Call 1

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

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

eval124.0ms (2.2%)

Memory: 19.5MiB live, 363.3MiB allocated
Compiler: Compiled 12 334 to 901 computations (92.7% saved)

prune112.0ms (2%)

Memory

0.9MiB live, 253.4MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	1 107	1	1 108
Fresh	0	0	0
Picked	2	3	5
Done	0	2	2
Total	1 109	6	1 115

Accuracy

100.0%

Counts

1 115 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 y z) y x)
✓	99.9%	(+.f64 x (/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) y)))
✓	45.5%	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
✓	48.9%	#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
✓	48.9%	#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
▶	48.9%	#s(approx (+ x (/ (* y y) z)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y))

Compiler

Compiled 59 to 35 computations (40.7% saved)

simplify6.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize40.0ms (0.7%)

Memory

-2.3MiB live, 36.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 1 binary64) z)
accuracy	0.12890625	(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y)
accuracy	0.2109375	(*.f64 (/.f64 #s(literal 1 binary64) z) y)
accuracy	32.62538288584856	#s(approx (+ x (/ (* y y) z)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y))

Samples

32.0ms

256×

valid

Compiler

Compiled 27 to 12 computations (55.6% saved)

Precisions

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

ival-mult: 19.0ms (78.2% of total)

ival-div: 3.0ms (12.3% of total)

ival-add: 1.0ms (4.1% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated

Counts

4 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

simplify144.0ms (2.6%)

Memory

7.8MiB live, 158.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 91

Calls

Call 1

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

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

rewrite222.0ms (4%)

Memory

-2.1MiB live, 191.2MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 99

Calls

Call 1

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

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

eval39.0ms (0.7%)

Memory: -2.1MiB live, 36.3MiB allocated
Compiler: Compiled 1 580 to 227 computations (85.6% saved)

prune148.0ms (2.7%)

Memory

-24.1MiB live, 38.3MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	190	0	190
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	190	6	196

Accuracy

100.0%

Counts

196 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 y z) y x)
✓	99.9%	(+.f64 x (/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) y)))
✓	45.5%	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
✓	48.9%	#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
✓	48.9%	#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
✓	48.9%	#s(approx (+ x (/ (* y y) z)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) y))

Compiler

Compiled 150 to 62 computations (58.7% saved)

regimes45.0ms (0.8%)

Memory

11.9MiB live, 49.9MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

6 calls:

26.0ms	(+.f64 x (/.f64 (*.f64 y y) z))
4.0ms	y
4.0ms	z
4.0ms	x
3.0ms	(*.f64 y y)

Results

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

Compiler

Compiled 36 to 24 computations (33.3% saved)

regimes40.0ms (0.7%)

Memory

-13.1MiB live, 26.3MiB allocated

Accuracy

Total -2.2b remaining (-6.9%)

Threshold costs -2.2b (-6.9%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

6 calls:

33.0ms	(+.f64 x (/.f64 (*.f64 y y) z))
2.0ms	y
2.0ms	z
1.0ms	x
1.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
48.9%	1	`x`
48.9%	1	`y`
48.9%	1	`z`
48.9%	1	`(+.f64 x (/.f64 (*.f64 y y) z))`
48.9%	1	`(/.f64 (*.f64 y y) z)`
48.9%	1	`(*.f64 y y)`

Compiler

Compiled 36 to 24 computations (33.3% saved)

simplify7.0ms (0.1%)

Memory

15.7MiB live, 15.7MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	11	19

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness522.0ms (9.5%)

Memory

-7.6MiB live, 229.9MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Compiler

Compiled 48 to 24 computations (50% saved)

preprocess57.0ms (1%)

Memory: 12.7MiB live, 51.3MiB allocated
Remove: (abs y)
Compiler: Compiled 106 to 56 computations (47.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	22	123
0	35	124
1	54	107
2	69	107
3	121	107
4	183	107
5	190	107
6	200	107
7	202	107
0	202	107

Iter	Nodes	Cost
0	22	123
0	35	124
1	54	107
2	69	107
3	121	107
4	183	107
5	190	107
6	200	107
7	202	107
0	202	107

start0.0ms (0%)

analyze47.0ms (0.8%)

sample1.0s (18.9%)

explain80.0ms (1.5%)

preprocess57.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize21.0ms (0.4%)

series23.0ms (0.4%)

simplify147.0ms (2.7%)

rewrite209.0ms (3.8%)

eval25.0ms (0.4%)

prune32.0ms (0.6%)

simplify47.0ms (0.9%)

localize72.0ms (1.3%)

series16.0ms (0.3%)

simplify188.0ms (3.4%)

rewrite694.0ms (12.6%)

eval275.0ms (5%)

prune204.0ms (3.7%)

simplify20.0ms (0.4%)

localize174.0ms (3.2%)

series11.0ms (0.2%)

simplify160.0ms (2.9%)

rewrite445.0ms (8.1%)

eval124.0ms (2.2%)

prune112.0ms (2%)

simplify6.0ms (0.1%)

localize40.0ms (0.7%)

series3.0ms (0.1%)

simplify144.0ms (2.6%)

rewrite222.0ms (4%)

eval39.0ms (0.7%)

prune148.0ms (2.7%)

regimes45.0ms (0.8%)

regimes40.0ms (0.7%)

simplify7.0ms (0.1%)

soundness522.0ms (9.5%)

preprocess57.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	22	123
0	35	124
1	54	107
2	69	107
3	121	107
4	183	107
5	190	107
6	200	107
7	202	107
0	202	107