Metrics for Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, I

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 9 to 9 computations (0% saved)

sample649.0ms (6.4%)

Memory

1.9MiB live, 1 035.0MiB allocated

Samples

414.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 171.0ms

ival-mult: 119.0ms (69.4% of total)

ival-sub: 39.0ms (22.8% of total)

ival-true: 6.0ms (3.5% of total)

exact: 4.0ms (2.3% of total)

ival-assert: 3.0ms (1.8% of total)

Bogosity

explain69.0ms (0.7%)

Memory

-0.8MiB live, 120.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
13	-	-	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))`
0	-	-	`y`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(*.f64 y z)`
0	-	-	`z`
0	-	-	`(-.f64 #s(literal 1 binary64) (*.f64 y z))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))`	*no**	13	0

Confusion

	Predicted +	Predicted -
+	13	0
-	0	243

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	13	0	0
-	0	0	243

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	243
1	13

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

24.0ms

512×

valid

Compiler

Compiled 52 to 25 computations (51.9% saved)

Precisions

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

ival-mult: 7.0ms (68.8% of total)

ival-sub: 2.0ms (19.7% of total)

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

exact: 0.0ms (0% of total)

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

preprocess50.0ms (0.5%)

Memory

15.0MiB live, 52.0MiB allocated

Algorithm

1×	egg-herbie

Rules

368×	`lower-fma.f64`
368×	`lower-fma.f32`
256×	`lower-*.f32`
252×	`lower-*.f64`
190×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	70
1	90	65
2	186	63
3	504	63
4	831	63
5	1056	63
6	1065	63
0	7	7
0	10	7
1	19	7
2	36	7
3	74	7
4	194	7
5	251	7
6	303	7
7	401	7
8	461	7
9	549	7
10	563	7
0	563	7

Stop Event

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

Calls

Call 1

Inputs
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))

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

Symmetry

(negabs x)

(sort y z)

Compiler

Compiled 10 to 7 computations (30% saved)

eval0.0ms (0%)

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

prune10.0ms (0.1%)

Memory

-35.6MiB live, 2.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.1%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))

Compiler

Compiled 10 to 7 computations (30% saved)

simplify21.0ms (0.2%)

Memory

20.5MiB live, 20.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

368×	`lower-fma.f64`
368×	`lower-fma.f32`
256×	`lower-*.f32`
252×	`lower-*.f64`
98×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
0	10	19
1	19	19
2	36	19
3	74	19
4	194	19
5	251	19
6	303	19
7	401	19
8	461	19
9	549	19
10	563	19
0	563	19

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))
x
(-.f64 #s(literal 1 binary64) (*.f64 y z))
#s(literal 1 binary64)
(*.f64 y z)
y
z

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

localize33.0ms (0.3%)

Memory

-19.1MiB live, 25.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) (*.f64 y z))
accuracy	0	(*.f64 y z)
accuracy	3.1267892878411976	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))

Samples

28.0ms

256×

valid

Compiler

Compiled 21 to 9 computations (57.1% saved)

Precisions

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

ival-mult: 3.0ms (61.5% of total)

ival-sub: 1.0ms (20.5% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

13.1MiB live, 13.1MiB allocated

Counts

3 → 84

Calls

Call 1

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

Inputs

#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())

#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())

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

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

Calls

9 calls:

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

simplify180.0ms (1.8%)

Memory

6.7MiB live, 165.9MiB allocated

Algorithm

1×	egg-herbie

Rules

4 784×	`lower-fma.f64`
4 784×	`lower-fma.f32`
2 664×	`lower-*.f64`
2 664×	`lower-*.f32`
1 142×	`sub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	446
1	136	416
2	296	416
3	488	416
4	2008	416
5	5035	416
6	6541	416
7	7282	416
8	7487	416
9	7593	416
10	7673	416
0	8014	416

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 82

Calls

Call 1

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

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

rewrite669.0ms (6.6%)

Memory

-23.9MiB live, 896.0MiB allocated

Rules

22 928×	`lower-fma.f64`
22 928×	`lower-fma.f32`
3 886×	`lower-*.f32`
3 882×	`lower-*.f64`
3 016×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
0	10	15
1	32	15
2	192	15
3	1532	15
0	9726	13

Stop Event

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

Counts

3 → 618

Calls

Call 1

Inputs
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(*.f64 y z)

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

eval148.0ms (1.4%)

Memory: 21.7MiB live, 135.2MiB allocated
Compiler: Compiled 27 373 to 1 654 computations (94% saved)

prune267.0ms (2.6%)

Memory

19.1MiB live, 222.2MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	695	5	700
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	695	6	701

Accuracy

100.0%

Counts

701 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.8%	(fma.f64 (*.f64 x (neg.f64 y)) z x)
✓	95.1%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))
▶	76.5%	(.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 1 binary64))) (.f64 (neg.f64 (.f64 y (.f64 y z))) (/.f64 z (fma.f64 y z #s(literal 1 binary64))))))
▶	51.7%	(.f64 x #s(approx (- 1 ( y z)) (*.f64 y (neg.f64 z))))
▶	44.3%	(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))
▶	52.8%	#s(approx (* x (- 1 (* y z))) (.f64 y (.f64 x (neg.f64 z))))

Compiler

Compiled 134 to 79 computations (41% saved)

simplify206.0ms (2%)

Memory

-10.6MiB live, 151.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 y z #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 1 binary64)))
cost-diff	0	(.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 1 binary64))) (.f64 (neg.f64 (.f64 y (.f64 y z))) (/.f64 z (fma.f64 y z #s(literal 1 binary64))))))
cost-diff	1216	(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 1 binary64))) (.f64 (neg.f64 (.f64 y (*.f64 y z))) (/.f64 z (fma.f64 y z #s(literal 1 binary64)))))
cost-diff	0	(neg.f64 z)
cost-diff	0	(*.f64 y (neg.f64 z))
cost-diff	0	#s(approx (- 1 (* y z)) (*.f64 y (neg.f64 z)))
cost-diff	0	(.f64 x #s(approx (- 1 ( y z)) (*.f64 y (neg.f64 z))))
cost-diff	0	(neg.f64 z)
cost-diff	0	(*.f64 x (neg.f64 z))
cost-diff	0	(.f64 y (.f64 x (neg.f64 z)))
cost-diff	0	#s(approx (* x (- 1 (* y z))) (.f64 y (.f64 x (neg.f64 z))))
cost-diff	0	#s(approx (- 1 (* y z)) #s(literal 1 binary64))
cost-diff	0	(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 x (neg.f64 y))
cost-diff	0	(fma.f64 (*.f64 x (neg.f64 y)) z x)

Rules

3 786×	`lower-fma.f32`
3 782×	`lower-fma.f64`
2 892×	`lower-*.f32`
2 872×	`lower-*.f64`
982×	`div-sub`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	28	183
0	47	183
1	97	181
2	217	181
3	598	177
4	1567	176
5	2300	173
6	3761	171
7	4879	171
8	5963	171
9	6731	171
10	7128	171
11	7651	171
0	8079	171

Stop Event

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

Calls

Call 1

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

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

localize315.0ms (3.1%)

Memory

-2.9MiB live, 80.4MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.49349331069000674	(/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 1 binary64)))
accuracy	3.1267892878411976	(.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 1 binary64))) (.f64 (neg.f64 (.f64 y (.f64 y z))) (/.f64 z (fma.f64 y z #s(literal 1 binary64))))))
accuracy	7.813018507085651	(/.f64 z (fma.f64 y z #s(literal 1 binary64)))
accuracy	11.6335102335808	(.f64 (neg.f64 (.f64 y (*.f64 y z))) (/.f64 z (fma.f64 y z #s(literal 1 binary64))))
accuracy	0	(*.f64 y (neg.f64 z))
accuracy	0	(neg.f64 z)
accuracy	3.1267892878411976	(.f64 x #s(approx (- 1 ( y z)) (*.f64 y (neg.f64 z))))
accuracy	27.947027597989816	#s(approx (- 1 (* y z)) (*.f64 y (neg.f64 z)))
accuracy	0	(*.f64 x (neg.f64 z))
accuracy	0	(neg.f64 z)
accuracy	4.335246208174774	(.f64 y (.f64 x (neg.f64 z)))
accuracy	27.777036159372752	#s(approx (* x (- 1 (* y z))) (.f64 y (.f64 x (neg.f64 z))))
accuracy	3.1267892878411976	(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))
accuracy	35.82662788514279	#s(approx (- 1 (* y z)) #s(literal 1 binary64))
accuracy	0	(*.f64 x (neg.f64 y))
accuracy	0	(neg.f64 y)
accuracy	3.3163565271615156	(fma.f64 (*.f64 x (neg.f64 y)) z x)

Samples

289.0ms

256×

valid

Compiler

Compiled 173 to 25 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 274.0ms

ival-mult: 251.0ms (91.7% of total)

ival-sub: 12.0ms (4.4% of total)

ival-div: 3.0ms (1.1% of total)

ival-add: 3.0ms (1.1% of total)

ival-neg: 3.0ms (1.1% of total)

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

exact: 0.0ms (0% of total)

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

series69.0ms (0.7%)

Memory

-4.3MiB live, 70.9MiB allocated

Counts

18 → 480

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
18.0ms	x	@	-inf	((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (* y (* x (neg z))) (* x (neg z)) (neg z) (* x (- 1 (* y z))) (- 1 (* y z)) (* y (neg z)) (+ (/ 1 (+ (* y z) 1)) (* (neg (* y (* y z))) (/ z (+ (* y z) 1)))) (* x (+ (/ 1 (+ (* y z) 1)) (* (neg (* y (* y z))) (/ z (+ (* y z) 1))))) (/ 1 (+ (* y z) 1)) (+ (* y z) 1) (* (neg (* y (* y z))) (/ z (+ (* y z) 1))) (/ z (+ (* y z) 1)))
12.0ms	z	@	inf	((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (* y (* x (neg z))) (* x (neg z)) (neg z) (* x (- 1 (* y z))) (- 1 (* y z)) (* y (neg z)) (+ (/ 1 (+ (* y z) 1)) (* (neg (* y (* y z))) (/ z (+ (* y z) 1)))) (* x (+ (/ 1 (+ (* y z) 1)) (* (neg (* y (* y z))) (/ z (+ (* y z) 1))))) (/ 1 (+ (* y z) 1)) (+ (* y z) 1) (* (neg (* y (* y z))) (/ z (+ (* y z) 1))) (/ z (+ (* y z) 1)))
5.0ms	y	@	0	((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (* y (* x (neg z))) (* x (neg z)) (neg z) (* x (- 1 (* y z))) (- 1 (* y z)) (* y (neg z)) (+ (/ 1 (+ (* y z) 1)) (* (neg (* y (* y z))) (/ z (+ (* y z) 1)))) (* x (+ (/ 1 (+ (* y z) 1)) (* (neg (* y (* y z))) (/ z (+ (* y z) 1))))) (/ 1 (+ (* y z) 1)) (+ (* y z) 1) (* (neg (* y (* y z))) (/ z (+ (* y z) 1))) (/ z (+ (* y z) 1)))
4.0ms	z	@	0	((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (* y (* x (neg z))) (* x (neg z)) (neg z) (* x (- 1 (* y z))) (- 1 (* y z)) (* y (neg z)) (+ (/ 1 (+ (* y z) 1)) (* (neg (* y (* y z))) (/ z (+ (* y z) 1)))) (* x (+ (/ 1 (+ (* y z) 1)) (* (neg (* y (* y z))) (/ z (+ (* y z) 1))))) (/ 1 (+ (* y z) 1)) (+ (* y z) 1) (* (neg (* y (* y z))) (/ z (+ (* y z) 1))) (/ z (+ (* y z) 1)))
4.0ms	y	@	inf	((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (* y (* x (neg z))) (* x (neg z)) (neg z) (* x (- 1 (* y z))) (- 1 (* y z)) (* y (neg z)) (+ (/ 1 (+ (* y z) 1)) (* (neg (* y (* y z))) (/ z (+ (* y z) 1)))) (* x (+ (/ 1 (+ (* y z) 1)) (* (neg (* y (* y z))) (/ z (+ (* y z) 1))))) (/ 1 (+ (* y z) 1)) (+ (* y z) 1) (* (neg (* y (* y z))) (/ z (+ (* y z) 1))) (/ z (+ (* y z) 1)))

simplify501.0ms (4.9%)

Memory

16.4MiB live, 217.1MiB allocated

Algorithm

1×	egg-herbie

Rules

7 886×	`lower-fma.f64`
7 886×	`lower-fma.f32`
3 848×	`lower-*.f64`
3 848×	`lower-*.f32`
2 372×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	288	3542
1	926	3315
2	2447	3236
3	6964	3212
0	8664	3162

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 468

Calls

Call 1

Inputs
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
1
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* y z)))
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
1
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* y z)))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
1
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* y z)))
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
1
(+ 1 (* -1 (* y z)))
(+ 1 (* z (- (* (pow y 2) z) y)))
(+ 1 (* z (- (* z (- (* -1 (* (pow y 3) z)) (* -1 (pow y 2)))) y)))
1
(+ 1 (* y z))
(+ 1 (* y z))
(+ 1 (* y z))
(* -1 (* (pow y 2) (pow z 2)))
(* (pow z 2) (+ (* -1 (pow y 2)) (* (pow y 3) z)))
(* (pow z 2) (+ (* -1 (pow y 2)) (* z (+ (* -1 (* (pow y 4) z)) (pow y 3)))))
(* (pow z 2) (+ (* -1 (pow y 2)) (* z (+ (* z (+ (* -1 (pow y 4)) (* (pow y 5) z))) (pow y 3)))))
z
(* z (+ 1 (* -1 (* y z))))
(* z (+ 1 (* z (- (* (pow y 2) z) y))))
(* z (+ 1 (* z (- (* z (- (* -1 (* (pow y 3) z)) (* -1 (pow y 2)))) y))))
(* -1 (* x (* y z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* -1 (* x (* y z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* -1 (* y z))
(* z (- (/ 1 z) y))
(* z (- (/ 1 z) y))
(* z (- (/ 1 z) y))
(* -1 (* x (* y z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (* x (* y z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* -1 (* y z))
(* z (- (/ 1 z) y))
(* z (- (/ 1 z) y))
(* z (- (/ 1 z) y))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* z (+ (* -1 y) (/ 1 z)))
(* z (+ (* -1 y) (/ 1 z)))
(* z (+ (* -1 y) (/ 1 z)))
(* -1 (* x (* y z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(/ 1 (* y z))
(/ (- (/ 1 y) (/ 1 (* (pow y 2) z))) z)
(/ (- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (/ 1 (* (pow y 2) z))) z)
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Outputs
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(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y z))) (.f64 y z))) (/.f64 #s(literal -1 binary64) (.f64 y (.f64 y (.f64 y (.f64 z (*.f64 z z))))))) y)
(* -1 (* x (* y z)))
(.f64 x (.f64 y (neg.f64 z)))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(-.f64 x (.f64 x (.f64 y z)))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(-.f64 x (.f64 x (.f64 y z)))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(-.f64 x (.f64 x (.f64 y z)))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 (* x (* y z)))
(.f64 x (.f64 y (neg.f64 z)))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(-.f64 x (.f64 x (.f64 y z)))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(-.f64 x (.f64 x (.f64 y z)))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(-.f64 x (.f64 x (.f64 y z)))
(* -1 (* y z))
(*.f64 y (neg.f64 z))
(* y (+ (* -1 z) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(* y (+ (* -1 z) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(* y (+ (* -1 z) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(* -1 (* x (* y z)))
(.f64 x (.f64 y (neg.f64 z)))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(-.f64 x (.f64 x (.f64 y z)))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(-.f64 x (.f64 x (.f64 y z)))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(-.f64 x (.f64 x (.f64 y z)))
(* -1 (* x (* y z)))
(.f64 x (.f64 y (neg.f64 z)))
(* -1 (* x (* y z)))
(.f64 x (.f64 y (neg.f64 z)))
(* -1 (* x (* y z)))
(.f64 x (.f64 y (neg.f64 z)))
(* -1 (* x (* y z)))
(.f64 x (.f64 y (neg.f64 z)))
(* -1 (* x (* y z)))
(.f64 x (.f64 y (neg.f64 z)))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(-.f64 x (.f64 x (.f64 y z)))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(-.f64 x (.f64 x (.f64 y z)))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(-.f64 x (.f64 x (.f64 y z)))
(* -1 (* y z))
(*.f64 y (neg.f64 z))
(* y (+ (* -1 z) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(* y (+ (* -1 z) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(* y (+ (* -1 z) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(* -1 (* y z))
(*.f64 y (neg.f64 z))
(* -1 (* y z))
(*.f64 y (neg.f64 z))
(* -1 (* y z))
(*.f64 y (neg.f64 z))
(* -1 (* y z))
(*.f64 y (neg.f64 z))
(* -1 (* y z))
(*.f64 y (neg.f64 z))
(* -1 (* y (- z (/ 1 y))))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(* -1 (* y (- z (/ 1 y))))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(* -1 (* y (- z (/ 1 y))))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(* -1 (* x (* y z)))
(.f64 x (.f64 y (neg.f64 z)))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(-.f64 x (.f64 x (.f64 y z)))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(-.f64 x (.f64 x (.f64 y z)))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(-.f64 x (.f64 x (.f64 y z)))
(/ 1 (* y z))
(/.f64 #s(literal 1 binary64) (*.f64 y z))
(* -1 (/ (- (/ 1 (* y (pow z 2))) (/ 1 z)) y))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 y z))) (.f64 y z))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* y (pow z 3))) (/ 1 (pow z 2))) y)) (/ 1 z)) y))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y z))) (.f64 y z))) y) z)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* y (pow z 4))) (/ 1 (pow z 3))) y)) (/ 1 (pow z 2))) y)) (/ 1 z)) y))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) (/.f64 #s(literal -1 binary64) (.f64 y (pow.f64 z #s(literal 4 binary64))))) (.f64 y y)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z))) z)) y)
(* y z)
(*.f64 y z)
(* -1 (* y (- (* -1 z) (/ 1 y))))
(fma.f64 y z #s(literal 1 binary64))
(* -1 (* y (- (* -1 z) (/ 1 y))))
(fma.f64 y z #s(literal 1 binary64))
(* -1 (* y (- (* -1 z) (/ 1 y))))
(fma.f64 y z #s(literal 1 binary64))
(* -1 (* y z))
(*.f64 y (neg.f64 z))
(* -1 (* y (- z (/ 1 y))))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(* -1 (* y (+ z (* -1 (/ (- 1 (/ 1 (* y z))) y)))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 y z))) (.f64 y z))
(* -1 (* y (+ z (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 z) (/ 1 (* y (pow z 2)))) y))) y)))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y z))) (.f64 y z))) (*.f64 y z))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(* -1 (/ (- (/ 1 (* y z)) 1) y))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z))) y)
(* -1 (/ (- (* -1 (/ (- (/ 1 (* y (pow z 2))) (/ 1 z)) y)) 1) y))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y z))) (.f64 y z))) y)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* y (pow z 3))) (/ 1 (pow z 2))) y)) (/ 1 z)) y)) 1) y))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 y z))) (.f64 y z))) y) z)) y)
(* x (+ 1 (* -1 (* y z))))
(-.f64 x (.f64 x (.f64 y z)))
(* x (+ 1 (* -1 (* y z))))
(-.f64 x (.f64 x (.f64 y z)))
(* x (+ 1 (* -1 (* y z))))
(-.f64 x (.f64 x (.f64 y z)))
(* x (+ 1 (* -1 (* y z))))
(-.f64 x (.f64 x (.f64 y z)))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* x (- 1 (* y z)))
(-.f64 x (.f64 x (.f64 y z)))
(* x (- 1 (* y z)))
(-.f64 x (.f64 x (.f64 y z)))
(* x (- 1 (* y z)))
(-.f64 x (.f64 x (.f64 y z)))
(* x (- 1 (* y z)))
(-.f64 x (.f64 x (.f64 y z)))
(* x (- 1 (* y z)))
(-.f64 x (.f64 x (.f64 y z)))
(* x (- 1 (* y z)))
(-.f64 x (.f64 x (.f64 y z)))
(* x (- 1 (* y z)))
(-.f64 x (.f64 x (.f64 y z)))
(* x (- 1 (* y z)))
(-.f64 x (.f64 x (.f64 y z)))
(* -1 (* x (* y z)))
(.f64 x (.f64 y (neg.f64 z)))
(* -1 (* x (* y z)))
(.f64 x (.f64 y (neg.f64 z)))
(* -1 (* x (* y z)))
(.f64 x (.f64 y (neg.f64 z)))
(* -1 (* x (* y z)))
(.f64 x (.f64 y (neg.f64 z)))
(* -1 (* x z))
(*.f64 x (neg.f64 z))
(* -1 (* x z))
(*.f64 x (neg.f64 z))
(* -1 (* x z))
(*.f64 x (neg.f64 z))
(* -1 (* x z))
(*.f64 x (neg.f64 z))
(* x (- 1 (* y z)))
(-.f64 x (.f64 x (.f64 y z)))
(* x (- 1 (* y z)))
(-.f64 x (.f64 x (.f64 y z)))
(* x (- 1 (* y z)))
(-.f64 x (.f64 x (.f64 y z)))
(* x (- 1 (* y z)))
(-.f64 x (.f64 x (.f64 y z)))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(-.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (/.f64 (.f64 x (.f64 y (.f64 y (.f64 z z)))) (fma.f64 y z #s(literal 1 binary64))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(-.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (/.f64 (.f64 x (.f64 y (.f64 y (.f64 z z)))) (fma.f64 y z #s(literal 1 binary64))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(-.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (/.f64 (.f64 x (.f64 y (.f64 y (.f64 z z)))) (fma.f64 y z #s(literal 1 binary64))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(-.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (/.f64 (.f64 x (.f64 y (.f64 y (.f64 z z)))) (fma.f64 y z #s(literal 1 binary64))))
(* x (+ 1 (* -1 (* y z))))
(-.f64 x (.f64 x (.f64 y z)))
(* x (+ 1 (* -1 (* y z))))
(-.f64 x (.f64 x (.f64 y z)))
(* x (+ 1 (* -1 (* y z))))
(-.f64 x (.f64 x (.f64 y z)))
(* x (+ 1 (* -1 (* y z))))
(-.f64 x (.f64 x (.f64 y z)))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* x (- 1 (* y z)))
(-.f64 x (.f64 x (.f64 y z)))
(* x (- 1 (* y z)))
(-.f64 x (.f64 x (.f64 y z)))
(* x (- 1 (* y z)))
(-.f64 x (.f64 x (.f64 y z)))
(* x (- 1 (* y z)))
(-.f64 x (.f64 x (.f64 y z)))
(* x (- 1 (* y z)))
(-.f64 x (.f64 x (.f64 y z)))
(* x (- 1 (* y z)))
(-.f64 x (.f64 x (.f64 y z)))
(* x (- 1 (* y z)))
(-.f64 x (.f64 x (.f64 y z)))
(* x (- 1 (* y z)))
(-.f64 x (.f64 x (.f64 y z)))
(* -1 (* x (* y z)))
(.f64 x (.f64 y (neg.f64 z)))
(* -1 (* x (* y z)))
(.f64 x (.f64 y (neg.f64 z)))
(* -1 (* x (* y z)))
(.f64 x (.f64 y (neg.f64 z)))
(* -1 (* x (* y z)))
(.f64 x (.f64 y (neg.f64 z)))
(* -1 (* x z))
(*.f64 x (neg.f64 z))
(* -1 (* x z))
(*.f64 x (neg.f64 z))
(* -1 (* x z))
(*.f64 x (neg.f64 z))
(* -1 (* x z))
(*.f64 x (neg.f64 z))
(* x (- 1 (* y z)))
(-.f64 x (.f64 x (.f64 y z)))
(* x (- 1 (* y z)))
(-.f64 x (.f64 x (.f64 y z)))
(* x (- 1 (* y z)))
(-.f64 x (.f64 x (.f64 y z)))
(* x (- 1 (* y z)))
(-.f64 x (.f64 x (.f64 y z)))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(-.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (/.f64 (.f64 x (.f64 y (.f64 y (.f64 z z)))) (fma.f64 y z #s(literal 1 binary64))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(-.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (/.f64 (.f64 x (.f64 y (.f64 y (.f64 z z)))) (fma.f64 y z #s(literal 1 binary64))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(-.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (/.f64 (.f64 x (.f64 y (.f64 y (.f64 z z)))) (fma.f64 y z #s(literal 1 binary64))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(-.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (/.f64 (.f64 x (.f64 y (.f64 y (.f64 z z)))) (fma.f64 y z #s(literal 1 binary64))))
(* -1 (* x (- (* y z) 1)))
(-.f64 x (.f64 x (.f64 y z)))
(* -1 (* x (- (* y z) 1)))
(-.f64 x (.f64 x (.f64 y z)))
(* -1 (* x (- (* y z) 1)))
(-.f64 x (.f64 x (.f64 y z)))
(* -1 (* x (- (* y z) 1)))
(-.f64 x (.f64 x (.f64 y z)))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* x (- 1 (* y z)))
(-.f64 x (.f64 x (.f64 y z)))
(* x (- 1 (* y z)))
(-.f64 x (.f64 x (.f64 y z)))
(* x (- 1 (* y z)))
(-.f64 x (.f64 x (.f64 y z)))
(* x (- 1 (* y z)))
(-.f64 x (.f64 x (.f64 y z)))
(* x (- 1 (* y z)))
(-.f64 x (.f64 x (.f64 y z)))
(* x (- 1 (* y z)))
(-.f64 x (.f64 x (.f64 y z)))
(* x (- 1 (* y z)))
(-.f64 x (.f64 x (.f64 y z)))
(* x (- 1 (* y z)))
(-.f64 x (.f64 x (.f64 y z)))
(* -1 (* x (* y z)))
(.f64 x (.f64 y (neg.f64 z)))
(* -1 (* x (* y z)))
(.f64 x (.f64 y (neg.f64 z)))
(* -1 (* x (* y z)))
(.f64 x (.f64 y (neg.f64 z)))
(* -1 (* x (* y z)))
(.f64 x (.f64 y (neg.f64 z)))
(* -1 (* x z))
(*.f64 x (neg.f64 z))
(* -1 (* x z))
(*.f64 x (neg.f64 z))
(* -1 (* x z))
(*.f64 x (neg.f64 z))
(* -1 (* x z))
(*.f64 x (neg.f64 z))
(* x (- 1 (* y z)))
(-.f64 x (.f64 x (.f64 y z)))
(* x (- 1 (* y z)))
(-.f64 x (.f64 x (.f64 y z)))
(* x (- 1 (* y z)))
(-.f64 x (.f64 x (.f64 y z)))
(* x (- 1 (* y z)))
(-.f64 x (.f64 x (.f64 y z)))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(-.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (/.f64 (.f64 x (.f64 y (.f64 y (.f64 z z)))) (fma.f64 y z #s(literal 1 binary64))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(-.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (/.f64 (.f64 x (.f64 y (.f64 y (.f64 z z)))) (fma.f64 y z #s(literal 1 binary64))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(-.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (/.f64 (.f64 x (.f64 y (.f64 y (.f64 z z)))) (fma.f64 y z #s(literal 1 binary64))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(-.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (/.f64 (.f64 x (.f64 y (.f64 y (.f64 z z)))) (fma.f64 y z #s(literal 1 binary64))))

rewrite1.7s (16.2%)

Memory

-31.4MiB live, 1 089.2MiB allocated

Rules

12 898×	`lower-fma.f32`
12 894×	`lower-fma.f64`
5 808×	`lower-*.f32`
5 788×	`lower-*.f64`
2 992×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	152
0	47	122
1	153	120
2	1033	120
0	9065	120

Stop Event

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

Counts

18 → 947

Calls

Call 1

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

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

eval190.0ms (1.9%)

Memory: 21.4MiB live, 403.8MiB allocated
Compiler: Compiled 37 908 to 2 752 computations (92.7% saved)

prune187.0ms (1.8%)

Memory

34.5MiB live, 389.9MiB allocated

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	1 525	4	1 529
Fresh	0	0	0
Picked	1	4	5
Done	0	1	1
Total	1 526	9	1 535

Accuracy

100.0%

Counts

1 535 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.3%	(fma.f64 (.f64 y (neg.f64 z)) (.f64 y (*.f64 (/.f64 z (fma.f64 y z #s(literal 1 binary64))) x)) (/.f64 x (fma.f64 y z #s(literal 1 binary64))))
▶	38.1%	(fma.f64 (.f64 x (/.f64 (neg.f64 (.f64 y (*.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))) z x)
✓	94.8%	(fma.f64 (*.f64 x (neg.f64 y)) z x)
✓	95.1%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))
▶	73.5%	(.f64 x (+.f64 #s(approx (/ 1 (+ ( y z) 1)) #s(literal 1 binary64)) (.f64 (neg.f64 (.f64 y (*.f64 y z))) (/.f64 z (fma.f64 y z #s(literal 1 binary64))))))
✓	51.7%	(.f64 x #s(approx (- 1 ( y z)) (*.f64 y (neg.f64 z))))
✓	44.3%	(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))
▶	53.6%	#s(approx (* x (- 1 (* y z))) (.f64 (.f64 x y) (neg.f64 z)))
✓	52.8%	#s(approx (* x (- 1 (* y z))) (.f64 y (.f64 x (neg.f64 z))))

Compiler

Compiled 121 to 71 computations (41.3% saved)

simplify285.0ms (2.8%)

Memory

-207.5MiB live, 261.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 y (.f64 (/.f64 z (fma.f64 y z #s(literal 1 binary64))) x))
cost-diff	0	(neg.f64 z)
cost-diff	0	(*.f64 y (neg.f64 z))
cost-diff	1088	(fma.f64 (.f64 y (neg.f64 z)) (.f64 y (*.f64 (/.f64 z (fma.f64 y z #s(literal 1 binary64))) x)) (/.f64 x (fma.f64 y z #s(literal 1 binary64))))
cost-diff	0	(.f64 x (/.f64 (neg.f64 (.f64 y (*.f64 y y))) (fma.f64 y y #s(literal 0 binary64))))
cost-diff	0	(fma.f64 (.f64 x (/.f64 (neg.f64 (.f64 y (*.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))) z x)
cost-diff	64	(fma.f64 y y #s(literal 0 binary64))
cost-diff	1664	(/.f64 (neg.f64 (.f64 y (.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
cost-diff	0	(.f64 (neg.f64 (.f64 y (*.f64 y z))) (/.f64 z (fma.f64 y z #s(literal 1 binary64))))
cost-diff	0	#s(approx (/ 1 (+ (* y z) 1)) #s(literal 1 binary64))
cost-diff	0	(.f64 x (+.f64 #s(approx (/ 1 (+ ( y z) 1)) #s(literal 1 binary64)) (.f64 (neg.f64 (.f64 y (*.f64 y z))) (/.f64 z (fma.f64 y z #s(literal 1 binary64))))))
cost-diff	128	(+.f64 #s(approx (/ 1 (+ (* y z) 1)) #s(literal 1 binary64)) (.f64 (neg.f64 (.f64 y (*.f64 y z))) (/.f64 z (fma.f64 y z #s(literal 1 binary64)))))
cost-diff	0	(neg.f64 z)
cost-diff	0	(*.f64 x y)
cost-diff	0	(.f64 (.f64 x y) (neg.f64 z))
cost-diff	0	#s(approx (* x (- 1 (* y z))) (.f64 (.f64 x y) (neg.f64 z)))

Rules

4 614×	`lower-*.f32`
4 590×	`lower-*.f64`
4 338×	`lower-fma.f32`
4 330×	`lower-fma.f64`
2 330×	`lower--.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	35	250
0	60	230
1	132	228
2	349	216
3	1317	212
4	4385	211
5	6496	211
0	8304	211

Stop Event

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

Calls

Call 1

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

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

localize110.0ms (1.1%)

Memory

1.8MiB live, 156.1MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	2.1940025271117314	(/.f64 x (fma.f64 y z #s(literal 1 binary64)))
accuracy	3.1228830378411976	(fma.f64 (.f64 y (neg.f64 z)) (.f64 y (*.f64 (/.f64 z (fma.f64 y z #s(literal 1 binary64))) x)) (/.f64 x (fma.f64 y z #s(literal 1 binary64))))
accuracy	7.813018507085655	(/.f64 z (fma.f64 y z #s(literal 1 binary64)))
accuracy	10.107826775954228	(.f64 y (.f64 (/.f64 z (fma.f64 y z #s(literal 1 binary64))) x))
accuracy	0	(neg.f64 (.f64 y (.f64 y y)))
accuracy	0.0703125	(.f64 y (.f64 y y))
accuracy	3.3163565271615156	(fma.f64 (.f64 x (/.f64 (neg.f64 (.f64 y (*.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))) z x)
accuracy	42.56466832881669	(/.f64 (neg.f64 (.f64 y (.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
accuracy	3.1267892878411976	(.f64 x (+.f64 #s(approx (/ 1 (+ ( y z) 1)) #s(literal 1 binary64)) (.f64 (neg.f64 (.f64 y (*.f64 y z))) (/.f64 z (fma.f64 y z #s(literal 1 binary64))))))
accuracy	7.813018507085655	(/.f64 z (fma.f64 y z #s(literal 1 binary64)))
accuracy	11.6335102335808	(.f64 (neg.f64 (.f64 y (*.f64 y z))) (/.f64 z (fma.f64 y z #s(literal 1 binary64))))
accuracy	35.718685325341625	#s(approx (/ 1 (+ (* y z) 1)) #s(literal 1 binary64))
accuracy	0	(*.f64 x y)
accuracy	0	(neg.f64 z)
accuracy	4.012055285117872	(.f64 (.f64 x y) (neg.f64 z))
accuracy	27.777036159372752	#s(approx (* x (- 1 (* y z))) (.f64 (.f64 x y) (neg.f64 z)))

Samples

65.0ms

256×

valid

Compiler

Compiled 260 to 35 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 27.0ms (57.5% of total)

ival-div: 9.0ms (19.2% of total)

ival-add: 5.0ms (10.7% of total)

ival-neg: 3.0ms (6.4% of total)

ival-sub: 1.0ms (2.1% of total)

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

exact: 0.0ms (0% of total)

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

series60.0ms (0.6%)

Memory

2.7MiB live, 85.2MiB allocated

Counts

19 → 480

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
13.0ms	y	@	inf	((* x (- 1 (* y z))) (* (* x y) (neg z)) (* x y) (neg z) (+ (/ 1 (+ (* y z) 1)) (* (neg (* y (* y z))) (/ z (+ (* y z) 1)))) (* x (+ (/ 1 (+ (* y z) 1)) (* (neg (* y (* y z))) (/ z (+ (* y z) 1))))) (/ 1 (+ (* y z) 1)) (* (neg (* y (* y z))) (/ z (+ (* y z) 1))) (/ (neg (* y (* y y))) (+ (* y y) 0)) (+ (* y y) 0) (+ (* (* x (/ (neg (* y (* y y))) (+ (* y y) 0))) z) x) (* x (/ (neg (* y (* y y))) (+ (* y y) 0))) (+ (* (* y (neg z)) (* y (* (/ z (+ (* y z) 1)) x))) (/ x (+ (* y z) 1))) (* y (neg z)) (* y (* (/ z (+ (* y z) 1)) x)) (/ z (+ (* y z) 1)) (* y (* y y)) (neg (* y (* y y))) (/ x (+ (* y z) 1)))
4.0ms	y	@	-inf	((* x (- 1 (* y z))) (* (* x y) (neg z)) (* x y) (neg z) (+ (/ 1 (+ (* y z) 1)) (* (neg (* y (* y z))) (/ z (+ (* y z) 1)))) (* x (+ (/ 1 (+ (* y z) 1)) (* (neg (* y (* y z))) (/ z (+ (* y z) 1))))) (/ 1 (+ (* y z) 1)) (* (neg (* y (* y z))) (/ z (+ (* y z) 1))) (/ (neg (* y (* y y))) (+ (* y y) 0)) (+ (* y y) 0) (+ (* (* x (/ (neg (* y (* y y))) (+ (* y y) 0))) z) x) (* x (/ (neg (* y (* y y))) (+ (* y y) 0))) (+ (* (* y (neg z)) (* y (* (/ z (+ (* y z) 1)) x))) (/ x (+ (* y z) 1))) (* y (neg z)) (* y (* (/ z (+ (* y z) 1)) x)) (/ z (+ (* y z) 1)) (* y (* y y)) (neg (* y (* y y))) (/ x (+ (* y z) 1)))
4.0ms	x	@	-inf	((* x (- 1 (* y z))) (* (* x y) (neg z)) (* x y) (neg z) (+ (/ 1 (+ (* y z) 1)) (* (neg (* y (* y z))) (/ z (+ (* y z) 1)))) (* x (+ (/ 1 (+ (* y z) 1)) (* (neg (* y (* y z))) (/ z (+ (* y z) 1))))) (/ 1 (+ (* y z) 1)) (* (neg (* y (* y z))) (/ z (+ (* y z) 1))) (/ (neg (* y (* y y))) (+ (* y y) 0)) (+ (* y y) 0) (+ (* (* x (/ (neg (* y (* y y))) (+ (* y y) 0))) z) x) (* x (/ (neg (* y (* y y))) (+ (* y y) 0))) (+ (* (* y (neg z)) (* y (* (/ z (+ (* y z) 1)) x))) (/ x (+ (* y z) 1))) (* y (neg z)) (* y (* (/ z (+ (* y z) 1)) x)) (/ z (+ (* y z) 1)) (* y (* y y)) (neg (* y (* y y))) (/ x (+ (* y z) 1)))
4.0ms	y	@	0	((* x (- 1 (* y z))) (* (* x y) (neg z)) (* x y) (neg z) (+ (/ 1 (+ (* y z) 1)) (* (neg (* y (* y z))) (/ z (+ (* y z) 1)))) (* x (+ (/ 1 (+ (* y z) 1)) (* (neg (* y (* y z))) (/ z (+ (* y z) 1))))) (/ 1 (+ (* y z) 1)) (* (neg (* y (* y z))) (/ z (+ (* y z) 1))) (/ (neg (* y (* y y))) (+ (* y y) 0)) (+ (* y y) 0) (+ (* (* x (/ (neg (* y (* y y))) (+ (* y y) 0))) z) x) (* x (/ (neg (* y (* y y))) (+ (* y y) 0))) (+ (* (* y (neg z)) (* y (* (/ z (+ (* y z) 1)) x))) (/ x (+ (* y z) 1))) (* y (neg z)) (* y (* (/ z (+ (* y z) 1)) x)) (/ z (+ (* y z) 1)) (* y (* y y)) (neg (* y (* y y))) (/ x (+ (* y z) 1)))
3.0ms	x	@	0	((* x (- 1 (* y z))) (* (* x y) (neg z)) (* x y) (neg z) (+ (/ 1 (+ (* y z) 1)) (* (neg (* y (* y z))) (/ z (+ (* y z) 1)))) (* x (+ (/ 1 (+ (* y z) 1)) (* (neg (* y (* y z))) (/ z (+ (* y z) 1))))) (/ 1 (+ (* y z) 1)) (* (neg (* y (* y z))) (/ z (+ (* y z) 1))) (/ (neg (* y (* y y))) (+ (* y y) 0)) (+ (* y y) 0) (+ (* (* x (/ (neg (* y (* y y))) (+ (* y y) 0))) z) x) (* x (/ (neg (* y (* y y))) (+ (* y y) 0))) (+ (* (* y (neg z)) (* y (* (/ z (+ (* y z) 1)) x))) (/ x (+ (* y z) 1))) (* y (neg z)) (* y (* (/ z (+ (* y z) 1)) x)) (/ z (+ (* y z) 1)) (* y (* y y)) (neg (* y (* y y))) (/ x (+ (* y z) 1)))

simplify317.0ms (3.1%)

Memory

10.8MiB live, 401.4MiB allocated

Algorithm

1×	egg-herbie

Rules

12 522×	`lower-fma.f64`
12 522×	`lower-fma.f32`
5 636×	`lower-*.f64`
5 636×	`lower-*.f32`
3 118×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	472	4374
1	1536	4126
2	4243	4087
0	8682	3987

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 464

Calls

Call 1

Inputs
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
1
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* y z)))
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
1
(+ 1 (* -1 (* y z)))
(+ 1 (* z (- (* (pow y 2) z) y)))
(+ 1 (* z (- (* z (- (* -1 (* (pow y 3) z)) (* -1 (pow y 2)))) y)))
(* -1 (* (pow y 2) (pow z 2)))
(* (pow z 2) (+ (* -1 (pow y 2)) (* (pow y 3) z)))
(* (pow z 2) (+ (* -1 (pow y 2)) (* z (+ (* -1 (* (pow y 4) z)) (pow y 3)))))
(* (pow z 2) (+ (* -1 (pow y 2)) (* z (+ (* z (+ (* -1 (pow y 4)) (* (pow y 5) z))) (pow y 3)))))
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* x (* y z))
(* z (+ (* -1 (* x (* (pow y 2) z))) (* x y)))
(* z (+ (* x y) (* z (- (* x (* (pow y 3) z)) (* x (pow y 2))))))
(* z (+ (* x y) (* z (- (* z (- (* -1 (* x (* (pow y 4) z))) (* -1 (* x (pow y 3))))) (* x (pow y 2))))))
z
(* z (+ 1 (* -1 (* y z))))
(* z (+ 1 (* z (- (* (pow y 2) z) y))))
(* z (+ 1 (* z (- (* z (- (* -1 (* (pow y 3) z)) (* -1 (pow y 2)))) y))))
x
(+ x (* -1 (* x (* y z))))
(+ x (* z (- (* x (* (pow y 2) z)) (* x y))))
(+ x (* z (- (* z (- (* -1 (* x (* (pow y 3) z))) (* -1 (* x (pow y 2))))) (* x y))))
(* -1 (* x (* y z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (* y z))
(* z (+ (* -1 y) (/ 1 z)))
(* z (+ (* -1 y) (/ 1 z)))
(* z (+ (* -1 y) (/ 1 z)))
(* -1 (* x (* y z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(/ 1 (* y z))
(/ (- (/ 1 y) (/ 1 (* (pow y 2) z))) z)
(/ (- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (/ 1 (* (pow y 2) z))) z)
(/ (- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (+ (/ 1 (* (pow y 2) z)) (/ 1 (* (pow y 4) (pow z 3))))) z)
(* -1 (* y z))
(* z (+ (* -1 y) (/ 1 z)))
(* z (- (+ (* -1 y) (/ 1 z)) (/ 1 (* y (pow z 2)))))
(* z (- (+ (* -1 y) (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3))))) (/ 1 (* y (pow z 2)))))
(* -1 (* x (* y z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* -1 (* x (* y z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (+ (* -1 (/ x (* y (pow z 2)))) (+ (/ x z) (/ x (* y (pow z 2)))))))
(* z (+ (* -1 (* x y)) (+ (* -1 (/ x (* y (pow z 2)))) (+ (/ x z) (/ x (* y (pow z 2)))))))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
x
(+ x (* -1 (/ x (* y z))))
(- (+ x (/ x (* (pow y 2) (pow z 2)))) (/ x (* y z)))
(- (+ x (* -1 (/ x (* (pow y 3) (pow z 3))))) (+ (* -1 (/ x (* (pow y 2) (pow z 2)))) (/ x (* y z))))
(/ 1 y)
(- (/ 1 y) (/ 1 (* (pow y 2) z)))
(- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (/ 1 (* (pow y 2) z)))
(- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (+ (/ 1 (* (pow y 2) z)) (/ 1 (* (pow y 4) (pow z 3)))))
(/ x (* y z))
(/ (+ (* -1 (/ x (* (pow y 2) z))) (/ x y)) z)
(/ (- (+ (/ x y) (/ x (* (pow y 3) (pow z 2)))) (/ x (* (pow y 2) z))) z)
(/ (- (+ (* -1 (/ x (* (pow y 4) (pow z 3)))) (/ x y)) (+ (* -1 (/ x (* (pow y 3) (pow z 2)))) (/ x (* (pow y 2) z)))) z)
(* -1 (* x (* y z)))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (* y z))
(* -1 (* z (- y (/ 1 z))))
(* -1 (* z (- y (/ 1 z))))
(* -1 (* z (- y (/ 1 z))))
(* -1 (* x (* y z)))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(/ 1 (* y z))
(* -1 (/ (- (/ 1 (* (pow y 2) z)) (/ 1 y)) z))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow y 3) z)) (/ 1 (pow y 2))) z)) (/ 1 y)) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow y 4) z)) (/ 1 (pow y 3))) z)) (/ 1 (pow y 2))) z)) (/ 1 y)) z))
(* -1 (* y z))
(* -1 (* z (- y (/ 1 z))))
(* -1 (* z (+ y (* -1 (/ (- 1 (/ 1 (* y z))) z)))))
(* -1 (* z (+ y (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 y) (/ 1 (* (pow y 2) z))) z))) z)))))
(* -1 (* x (* y z)))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* x (* y z)))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* z (+ (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) z))) z)) (* x y))))
(* -1 (* z (+ (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) z))) z)) (* x y))))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
x
(+ x (* -1 (/ x (* y z))))
(+ x (* -1 (/ (+ (* -1 (/ x (* (pow y 2) z))) (/ x y)) z)))
(+ x (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ x (* (pow y 3) z))) (/ x (pow y 2))) z)) (/ x y)) z)))
(/ 1 y)
(- (/ 1 y) (/ 1 (* (pow y 2) z)))
(+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* (pow y 3) z))) z)) (/ 1 y))
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* (pow y 4) z))) z)) (/ 1 (pow y 2))) z)) (/ 1 y))
(/ x (* y z))
(* -1 (/ (+ (* -1 (/ x y)) (/ x (* (pow y 2) z))) z))
(* -1 (/ (+ (* -1 (/ x y)) (* -1 (/ (- (/ x (* (pow y 3) z)) (/ x (pow y 2))) z))) z))
(* -1 (/ (+ (* -1 (/ x y)) (* -1 (/ (- (* -1 (/ (- (/ x (* (pow y 4) z)) (/ x (pow y 3))) z)) (/ x (pow y 2))) z))) z))
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* x y)
(* x y)
(* x y)
(* x y)
1
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* y z)))
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
1
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(* -1 (* x (- (* y z) 1)))
(-.f64 x (.f64 x (.f64 y z)))
(* -1 (* x (- (* y z) 1)))
(-.f64 x (.f64 x (.f64 y z)))
(* -1 (* x (- (* y z) 1)))
(-.f64 x (.f64 x (.f64 y z)))
(* -1 (* x (- (* y z) 1)))
(-.f64 x (.f64 x (.f64 y z)))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x (- (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z))) (/ 1 (+ 1 (* y z))))))
(.f64 (fma.f64 (.f64 y y) (*.f64 z (/.f64 z (fma.f64 y z #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 y z #s(literal 1 binary64)))) (neg.f64 x))
(* -1 (* x (- (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z))) (/ 1 (+ 1 (* y z))))))
(.f64 (fma.f64 (.f64 y y) (*.f64 z (/.f64 z (fma.f64 y z #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 y z #s(literal 1 binary64)))) (neg.f64 x))
(* -1 (* x (- (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z))) (/ 1 (+ 1 (* y z))))))
(.f64 (fma.f64 (.f64 y y) (*.f64 z (/.f64 z (fma.f64 y z #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 y z #s(literal 1 binary64)))) (neg.f64 x))
(* -1 (* x (- (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z))) (/ 1 (+ 1 (* y z))))))
(.f64 (fma.f64 (.f64 y y) (*.f64 z (/.f64 z (fma.f64 y z #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 y z #s(literal 1 binary64)))) (neg.f64 x))
(/ (* x (* y z)) (+ 1 (* y z)))
(/.f64 (.f64 x (.f64 y z)) (fma.f64 y z #s(literal 1 binary64)))
(/ (* x (* y z)) (+ 1 (* y z)))
(/.f64 (.f64 x (.f64 y z)) (fma.f64 y z #s(literal 1 binary64)))
(/ (* x (* y z)) (+ 1 (* y z)))
(/.f64 (.f64 x (.f64 y z)) (fma.f64 y z #s(literal 1 binary64)))
(/ (* x (* y z)) (+ 1 (* y z)))
(/.f64 (.f64 x (.f64 y z)) (fma.f64 y z #s(literal 1 binary64)))
(/ x (+ 1 (* y z)))
(/.f64 x (fma.f64 y z #s(literal 1 binary64)))
(/ x (+ 1 (* y z)))
(/.f64 x (fma.f64 y z #s(literal 1 binary64)))
(/ x (+ 1 (* y z)))
(/.f64 x (fma.f64 y z #s(literal 1 binary64)))
(/ x (+ 1 (* y z)))
(/.f64 x (fma.f64 y z #s(literal 1 binary64)))

rewrite620.0ms (6.1%)

Memory

-3.1MiB live, 1 109.5MiB allocated

Rules

5 398×	`lower-fma.f32`
5 390×	`lower-fma.f64`
4 866×	`lower-*.f32`
4 842×	`lower-*.f64`
4 660×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	194
0	60	180
1	228	159
2	1667	153
0	8373	152

Stop Event

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

Counts

19 → 965

Calls

Call 1

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

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

eval357.0ms (3.5%)

Memory: 15.9MiB live, 290.7MiB allocated
Compiler: Compiled 38 113 to 3 849 computations (89.9% saved)

prune289.0ms (2.8%)

Memory

-3.4MiB live, 450.4MiB allocated

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	1 508	3	1 511
Fresh	0	0	0
Picked	3	1	4
Done	0	5	5
Total	1 511	9	1 520

Accuracy

100.0%

Counts

1 520 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	94.8%	(fma.f64 (*.f64 x (neg.f64 y)) z x)
▶	74.3%	(fma.f64 y (.f64 (/.f64 (.f64 x z) (fma.f64 y z #s(literal 1 binary64))) (neg.f64 (.f64 y z))) (.f64 x #s(approx (/ 1 (+ (* y z) 1)) #s(literal 1 binary64))))
▶	73.5%	(.f64 x (fma.f64 (/.f64 (neg.f64 z) (fma.f64 y z #s(literal 1 binary64))) (.f64 y (.f64 y z)) #s(approx (/ 1 (+ ( y z) 1)) #s(literal 1 binary64))))
✓	95.1%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))
▶	84.3%	(.f64 x (+.f64 #s(approx (/ 1 (+ ( y z) 1)) #s(literal 1 binary64)) (.f64 (neg.f64 (.f64 y (.f64 y z))) #s(approx (/ z (+ ( y z) 1)) (/.f64 #s(literal 1 binary64) y)))))
✓	51.7%	(.f64 x #s(approx (- 1 ( y z)) (*.f64 y (neg.f64 z))))
✓	44.3%	(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))
✓	53.6%	#s(approx (* x (- 1 (* y z))) (.f64 (.f64 x y) (neg.f64 z)))
✓	52.8%	#s(approx (* x (- 1 (* y z))) (.f64 y (.f64 x (neg.f64 z))))

Compiler

Compiled 118 to 70 computations (40.7% saved)

simplify170.0ms (1.7%)

Memory

8.1MiB live, 205.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

3 700×	`lower-fma.f32`
3 694×	`lower-fma.f64`
3 186×	`lower-*.f32`
3 170×	`lower-*.f64`
1 278×	`unsub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	269
0	49	267
1	103	265
2	296	265
3	1153	265
4	2094	265
5	3165	265
6	4546	265
7	5516	265
8	6214	265
9	7210	265
0	8218	265

Stop Event

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

Calls

Call 1

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

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

localize92.0ms (0.9%)

Memory

6.9MiB live, 198.7MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	3.0299636493377458	(fma.f64 y (.f64 (/.f64 (.f64 x z) (fma.f64 y z #s(literal 1 binary64))) (neg.f64 (.f64 y z))) (.f64 x #s(approx (/ 1 (+ (* y z) 1)) #s(literal 1 binary64))))
accuracy	8.000383178220524	(/.f64 (*.f64 x z) (fma.f64 y z #s(literal 1 binary64)))
accuracy	11.310323169435668	(.f64 (/.f64 (.f64 x z) (fma.f64 y z #s(literal 1 binary64))) (neg.f64 (*.f64 y z)))
accuracy	35.71868532534156	#s(approx (/ 1 (+ (* y z) 1)) #s(literal 1 binary64))
accuracy	3.1267892878411976	(.f64 x (fma.f64 (/.f64 (neg.f64 z) (fma.f64 y z #s(literal 1 binary64))) (.f64 y (.f64 y z)) #s(approx (/ 1 (+ ( y z) 1)) #s(literal 1 binary64))))
accuracy	7.813018507085651	(/.f64 (neg.f64 z) (fma.f64 y z #s(literal 1 binary64)))
accuracy	9.768211103213218	(fma.f64 (/.f64 (neg.f64 z) (fma.f64 y z #s(literal 1 binary64))) (.f64 y (.f64 y z)) #s(approx (/ 1 (+ (* y z) 1)) #s(literal 1 binary64)))
accuracy	35.71868532534156	#s(approx (/ 1 (+ (* y z) 1)) #s(literal 1 binary64))
accuracy	3.1267892878411976	(.f64 x (+.f64 #s(approx (/ 1 (+ ( y z) 1)) #s(literal 1 binary64)) (.f64 (neg.f64 (.f64 y (.f64 y z))) #s(approx (/ z (+ ( y z) 1)) (/.f64 #s(literal 1 binary64) y)))))
accuracy	11.6335102335808	(.f64 (neg.f64 (.f64 y (.f64 y z))) #s(approx (/ z (+ ( y z) 1)) (/.f64 #s(literal 1 binary64) y)))
accuracy	28.239801408833703	#s(approx (/ z (+ (* y z) 1)) (/.f64 #s(literal 1 binary64) y))
accuracy	35.71868532534156	#s(approx (/ 1 (+ (* y z) 1)) #s(literal 1 binary64))

Samples

53.0ms

256×

valid

Compiler

Compiled 261 to 28 computations (89.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 19.0ms (52.1% of total)

ival-div: 8.0ms (22% of total)

ival-add: 5.0ms (13.7% of total)

ival-neg: 3.0ms (8.2% of total)

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

exact: 0.0ms (0% of total)

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

series39.0ms (0.4%)

Memory

6.1MiB live, 84.9MiB allocated

Counts

13 → 360

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	((+ (/ 1 (+ (* y z) 1)) (* (neg (* y (* y z))) (/ z (+ (* y z) 1)))) (* x (+ (/ 1 (+ (* y z) 1)) (* (neg (* y (* y z))) (/ z (+ (* y z) 1))))) (/ 1 (+ (* y z) 1)) (* (neg (* y (* y z))) (/ z (+ (* y z) 1))) (* x (+ (* (/ (neg z) (+ (* y z) 1)) (* y (* y z))) (/ 1 (+ (* y z) 1)))) (+ (* (/ (neg z) (+ (* y z) 1)) (* y (* y z))) (/ 1 (+ (* y z) 1))) (/ (neg z) (+ (* y z) 1)) (neg z) (+ (* y (* (/ (* x z) (+ (* y z) 1)) (neg (* y z)))) (* x (/ 1 (+ (* y z) 1)))) (* (/ (* x z) (+ (* y z) 1)) (neg (* y z))) (/ (* x z) (+ (* y z) 1)) (* x z) (/ z (+ (* y z) 1)))
4.0ms	x	@	0	((+ (/ 1 (+ (* y z) 1)) (* (neg (* y (* y z))) (/ z (+ (* y z) 1)))) (* x (+ (/ 1 (+ (* y z) 1)) (* (neg (* y (* y z))) (/ z (+ (* y z) 1))))) (/ 1 (+ (* y z) 1)) (* (neg (* y (* y z))) (/ z (+ (* y z) 1))) (* x (+ (* (/ (neg z) (+ (* y z) 1)) (* y (* y z))) (/ 1 (+ (* y z) 1)))) (+ (* (/ (neg z) (+ (* y z) 1)) (* y (* y z))) (/ 1 (+ (* y z) 1))) (/ (neg z) (+ (* y z) 1)) (neg z) (+ (* y (* (/ (* x z) (+ (* y z) 1)) (neg (* y z)))) (* x (/ 1 (+ (* y z) 1)))) (* (/ (* x z) (+ (* y z) 1)) (neg (* y z))) (/ (* x z) (+ (* y z) 1)) (* x z) (/ z (+ (* y z) 1)))
3.0ms	z	@	0	((+ (/ 1 (+ (* y z) 1)) (* (neg (* y (* y z))) (/ z (+ (* y z) 1)))) (* x (+ (/ 1 (+ (* y z) 1)) (* (neg (* y (* y z))) (/ z (+ (* y z) 1))))) (/ 1 (+ (* y z) 1)) (* (neg (* y (* y z))) (/ z (+ (* y z) 1))) (* x (+ (* (/ (neg z) (+ (* y z) 1)) (* y (* y z))) (/ 1 (+ (* y z) 1)))) (+ (* (/ (neg z) (+ (* y z) 1)) (* y (* y z))) (/ 1 (+ (* y z) 1))) (/ (neg z) (+ (* y z) 1)) (neg z) (+ (* y (* (/ (* x z) (+ (* y z) 1)) (neg (* y z)))) (* x (/ 1 (+ (* y z) 1)))) (* (/ (* x z) (+ (* y z) 1)) (neg (* y z))) (/ (* x z) (+ (* y z) 1)) (* x z) (/ z (+ (* y z) 1)))
3.0ms	x	@	inf	((+ (/ 1 (+ (* y z) 1)) (* (neg (* y (* y z))) (/ z (+ (* y z) 1)))) (* x (+ (/ 1 (+ (* y z) 1)) (* (neg (* y (* y z))) (/ z (+ (* y z) 1))))) (/ 1 (+ (* y z) 1)) (* (neg (* y (* y z))) (/ z (+ (* y z) 1))) (* x (+ (* (/ (neg z) (+ (* y z) 1)) (* y (* y z))) (/ 1 (+ (* y z) 1)))) (+ (* (/ (neg z) (+ (* y z) 1)) (* y (* y z))) (/ 1 (+ (* y z) 1))) (/ (neg z) (+ (* y z) 1)) (neg z) (+ (* y (* (/ (* x z) (+ (* y z) 1)) (neg (* y z)))) (* x (/ 1 (+ (* y z) 1)))) (* (/ (* x z) (+ (* y z) 1)) (neg (* y z))) (/ (* x z) (+ (* y z) 1)) (* x z) (/ z (+ (* y z) 1)))
2.0ms	z	@	inf	((+ (/ 1 (+ (* y z) 1)) (* (neg (* y (* y z))) (/ z (+ (* y z) 1)))) (* x (+ (/ 1 (+ (* y z) 1)) (* (neg (* y (* y z))) (/ z (+ (* y z) 1))))) (/ 1 (+ (* y z) 1)) (* (neg (* y (* y z))) (/ z (+ (* y z) 1))) (* x (+ (* (/ (neg z) (+ (* y z) 1)) (* y (* y z))) (/ 1 (+ (* y z) 1)))) (+ (* (/ (neg z) (+ (* y z) 1)) (* y (* y z))) (/ 1 (+ (* y z) 1))) (/ (neg z) (+ (* y z) 1)) (neg z) (+ (* y (* (/ (* x z) (+ (* y z) 1)) (neg (* y z)))) (* x (/ 1 (+ (* y z) 1)))) (* (/ (* x z) (+ (* y z) 1)) (neg (* y z))) (/ (* x z) (+ (* y z) 1)) (* x z) (/ z (+ (* y z) 1)))

simplify328.0ms (3.2%)

Memory

-30.4MiB live, 373.1MiB allocated

Algorithm

1×	egg-herbie

Rules

11 200×	`lower-fma.f64`
11 200×	`lower-fma.f32`
5 146×	`lower-*.f64`
5 146×	`lower-*.f32`
2 880×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	498	4297
1	1671	3995
2	4827	3922
0	8685	3782

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 352

Calls

Call 1

Inputs
1
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* y z)))
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
1
(+ 1 (* -1 (* y z)))
(+ 1 (* z (- (* (pow y 2) z) y)))
(+ 1 (* z (- (* z (- (* -1 (* (pow y 3) z)) (* -1 (pow y 2)))) y)))
(* -1 (* (pow y 2) (pow z 2)))
(* (pow z 2) (+ (* -1 (pow y 2)) (* (pow y 3) z)))
(* (pow z 2) (+ (* -1 (pow y 2)) (* z (+ (* -1 (* (pow y 4) z)) (pow y 3)))))
(* (pow z 2) (+ (* -1 (pow y 2)) (* z (+ (* z (+ (* -1 (pow y 4)) (* (pow y 5) z))) (pow y 3)))))
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
1
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* y z)))
(* -1 z)
(* z (- (* y z) 1))
(* z (- (* z (+ y (* -1 (* (pow y 2) z)))) 1))
(* z (- (* z (+ y (* z (+ (* -1 (pow y 2)) (* (pow y 3) z))))) 1))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(* -1 (* x (* y (pow z 2))))
(* (pow z 2) (+ (* -1 (* x y)) (* x (* (pow y 2) z))))
(* (pow z 2) (+ (* -1 (* x y)) (* z (+ (* -1 (* x (* (pow y 3) z))) (* x (pow y 2))))))
(* (pow z 2) (+ (* -1 (* x y)) (* z (+ (* x (pow y 2)) (* z (+ (* -1 (* x (pow y 3))) (* x (* (pow y 4) z))))))))
(* x z)
(* z (+ x (* -1 (* x (* y z)))))
(* z (+ x (* z (- (* x (* (pow y 2) z)) (* x y)))))
(* z (+ x (* z (- (* z (- (* -1 (* x (* (pow y 3) z))) (* -1 (* x (pow y 2))))) (* x y)))))
(* x z)
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z
(* z (+ 1 (* -1 (* y z))))
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(* z (+ 1 (* z (- (* z (- (* -1 (* (pow y 3) z)) (* -1 (pow y 2)))) y))))
(* -1 (* y z))
(* z (+ (* -1 y) (/ 1 z)))
(* z (+ (* -1 y) (/ 1 z)))
(* z (+ (* -1 y) (/ 1 z)))
(* -1 (* x (* y z)))
(* z (+ (* -1 (* x y)) (/ x z)))
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(* z (+ (* -1 (* x y)) (/ x z)))
(/ 1 (* y z))
(/ (- (/ 1 y) (/ 1 (* (pow y 2) z))) z)
(/ (- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (/ 1 (* (pow y 2) z))) z)
(/ (- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (+ (/ 1 (* (pow y 2) z)) (/ 1 (* (pow y 4) (pow z 3))))) z)
(* -1 (* y z))
(* z (+ (* -1 y) (/ 1 z)))
(* z (- (+ (* -1 y) (/ 1 z)) (/ 1 (* y (pow z 2)))))
(* z (- (+ (* -1 y) (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3))))) (/ 1 (* y (pow z 2)))))
(* -1 (* x (* y z)))
(* z (+ (* -1 (* x y)) (/ x z)))
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(* z (+ (* -1 (* x y)) (/ x z)))
(* -1 (* y z))
(* z (+ (* -1 y) (/ 1 z)))
(* z (+ (* -1 y) (/ 1 z)))
(* z (+ (* -1 y) (/ 1 z)))
(/ -1 y)
(- (/ 1 (* (pow y 2) z)) (/ 1 y))
(- (/ 1 (* (pow y 2) z)) (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))))
(- (+ (/ 1 (* (pow y 2) z)) (/ 1 (* (pow y 4) (pow z 3)))) (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (* x (* y z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (+ (* -1 (/ x (* y (pow z 2)))) (+ (/ x z) (/ x (* y (pow z 2)))))))
(* z (+ (* -1 (* x y)) (+ (* -1 (/ x (* y (pow z 2)))) (+ (/ x z) (/ x (* y (pow z 2)))))))
(* -1 (* x z))
(* z (+ (* -1 x) (/ x (* y z))))
(* z (+ (* -1 x) (+ (* -1 (/ x (* (pow y 2) (pow z 2)))) (/ x (* y z)))))
(* z (+ (* -1 x) (+ (* -1 (/ x (* (pow y 2) (pow z 2)))) (+ (/ x (* y z)) (/ x (* (pow y 3) (pow z 3)))))))
(/ x y)
(+ (* -1 (/ x (* (pow y 2) z))) (/ x y))
(- (+ (/ x y) (/ x (* (pow y 3) (pow z 2)))) (/ x (* (pow y 2) z)))
(- (+ (* -1 (/ x (* (pow y 4) (pow z 3)))) (/ x y)) (+ (* -1 (/ x (* (pow y 3) (pow z 2)))) (/ x (* (pow y 2) z))))
(* x z)
(* x z)
(* x z)
(* x z)
(/ 1 y)
(- (/ 1 y) (/ 1 (* (pow y 2) z)))
(- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (/ 1 (* (pow y 2) z)))
(- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (+ (/ 1 (* (pow y 2) z)) (/ 1 (* (pow y 4) (pow z 3)))))
(* -1 (* y z))
(* -1 (* z (- y (/ 1 z))))
(* -1 (* z (- y (/ 1 z))))
(* -1 (* z (- y (/ 1 z))))
(* -1 (* x (* y z)))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(/ 1 (* y z))
(* -1 (/ (- (/ 1 (* (pow y 2) z)) (/ 1 y)) z))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow y 3) z)) (/ 1 (pow y 2))) z)) (/ 1 y)) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow y 4) z)) (/ 1 (pow y 3))) z)) (/ 1 (pow y 2))) z)) (/ 1 y)) z))
(* -1 (* y z))
(* -1 (* z (- y (/ 1 z))))
(* -1 (* z (+ y (* -1 (/ (- 1 (/ 1 (* y z))) z)))))
(* -1 (* z (+ y (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 y) (/ 1 (* (pow y 2) z))) z))) z)))))
(* -1 (* x (* y z)))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* y z))
(* -1 (* z (- y (/ 1 z))))
(* -1 (* z (- y (/ 1 z))))
(* -1 (* z (- y (/ 1 z))))
(/ -1 y)
(- (/ 1 (* (pow y 2) z)) (/ 1 y))
(- (* -1 (/ (- (/ 1 (* (pow y 3) z)) (/ 1 (pow y 2))) z)) (/ 1 y))
(- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow y 4) z)) (/ 1 (pow y 3))) z)) (/ 1 (pow y 2))) z)) (/ 1 y))
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(* -1 (* x (* y z)))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* z (+ (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) z))) z)) (* x y))))
(* -1 (* z (+ (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) z))) z)) (* x y))))
(* -1 (* x z))
(* -1 (* z (+ x (* -1 (/ x (* y z))))))
(* -1 (* z (+ x (* -1 (/ (+ (* -1 (/ x (* (pow y 2) z))) (/ x y)) z)))))
(* -1 (* z (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ x (* (pow y 3) z))) (/ x (pow y 2))) z)) (/ x y)) z)))))
(/ x y)
(+ (* -1 (/ x (* (pow y 2) z))) (/ x y))
(+ (* -1 (/ (+ (* -1 (/ x (* (pow y 3) z))) (/ x (pow y 2))) z)) (/ x y))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ x (* (pow y 4) z))) (/ x (pow y 3))) z)) (/ x (pow y 2))) z)) (/ x y))
(* x z)
(* x z)
(* x z)
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(/ 1 y)
(- (/ 1 y) (/ 1 (* (pow y 2) z)))
(+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* (pow y 3) z))) z)) (/ 1 y))
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* (pow y 4) z))) z)) (/ 1 (pow y 2))) z)) (/ 1 y))
1
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* y z)))
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
1
(+ 1 (* -1 (* y z)))
(+ 1 (* y (- (* y (pow z 2)) z)))
(+ 1 (* y (- (* y (- (* -1 (* y (pow z 3))) (* -1 (pow z 2)))) z)))
(* -1 (* (pow y 2) (pow z 2)))
(* (pow y 2) (+ (* -1 (pow z 2)) (* y (pow z 3))))
(* (pow y 2) (+ (* -1 (pow z 2)) (* y (+ (* -1 (* y (pow z 4))) (pow z 3)))))
(* (pow y 2) (+ (* -1 (pow z 2)) (* y (+ (* y (+ (* -1 (pow z 4)) (* y (pow z 5)))) (pow z 3)))))
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
1
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* y z)))
(* -1 z)
(+ (* -1 z) (* y (pow z 2)))
(+ (* -1 z) (* y (+ (* -1 (* y (pow z 3))) (pow z 2))))
(+ (* -1 z) (* y (+ (* y (+ (* -1 (pow z 3)) (* y (pow z 4)))) (pow z 2))))
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(* -1 (* x (* y (pow z 2))))
(* y (+ (* -1 (* x (pow z 2))) (* x (* y (pow z 3)))))
(* y (+ (* -1 (* x (pow z 2))) (* y (+ (* -1 (* x (* y (pow z 4)))) (* x (pow z 3))))))
(* y (+ (* -1 (* x (pow z 2))) (* y (+ (* x (pow z 3)) (* y (+ (* -1 (* x (pow z 4))) (* x (* y (pow z 5)))))))))
(* x z)
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(+ (* x z) (* y (- (* y (- (* -1 (* x (* y (pow z 4)))) (* -1 (* x (pow z 3))))) (* x (pow z 2)))))
z
(+ z (* -1 (* y (pow z 2))))
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(* y (+ (* -1 (* x z)) (/ x y)))
(/ 1 (* y z))
(/ (- (/ 1 z) (/ 1 (* y (pow z 2)))) y)
(/ (- (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3)))) (/ 1 (* y (pow z 2)))) y)
(/ (- (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3)))) (+ (/ 1 (* y (pow z 2))) (/ 1 (* (pow y 3) (pow z 4))))) y)
(* -1 (* y z))
(* y (+ (* -1 z) (/ 1 y)))
(* y (- (+ (* -1 z) (/ 1 y)) (/ 1 (* (pow y 2) z))))
(* y (- (+ (* -1 z) (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2))))) (/ 1 (* (pow y 2) z))))
(* -1 (* x (* y z)))
(* y (+ (* -1 (* x z)) (/ x y)))
(* y (+ (* -1 (* x z)) (/ x y)))
(* y (+ (* -1 (* x z)) (/ x y)))
(* -1 (* y z))
(* y (+ (* -1 z) (/ 1 y)))
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(* y (+ (* -1 z) (/ 1 y)))
(/ -1 y)
(/ (- (/ 1 (* y z)) 1) y)
(/ (- (/ 1 (* y z)) (+ 1 (/ 1 (* (pow y 2) (pow z 2))))) y)
(/ (- (+ (/ 1 (* y z)) (/ 1 (* (pow y 3) (pow z 3)))) (+ 1 (/ 1 (* (pow y 2) (pow z 2))))) y)
(* -1 (* x (* y z)))
(* y (+ (* -1 (* x z)) (/ x y)))
(* y (+ (* -1 (* x z)) (+ (* -1 (/ x (* (pow y 2) z))) (+ (/ x y) (/ x (* (pow y 2) z))))))
(* y (+ (* -1 (* x z)) (+ (* -1 (/ x (* (pow y 2) z))) (+ (/ x y) (/ x (* (pow y 2) z))))))
(* -1 (* x z))
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(+ (* -1 (* x z)) (+ (* -1 (/ x (* (pow y 2) z))) (/ x y)))
(+ (* -1 (* x z)) (+ (* -1 (/ x (* (pow y 2) z))) (+ (/ x y) (/ x (* (pow y 3) (pow z 2))))))
(/ x y)
(/ (+ x (* -1 (/ x (* y z)))) y)
(/ (- (+ x (/ x (* (pow y 2) (pow z 2)))) (/ x (* y z))) y)
(/ (- (+ x (* -1 (/ x (* (pow y 3) (pow z 3))))) (+ (* -1 (/ x (* (pow y 2) (pow z 2)))) (/ x (* y z)))) y)
(/ 1 y)
(/ (- 1 (/ 1 (* y z))) y)
(/ (- (+ 1 (/ 1 (* (pow y 2) (pow z 2)))) (/ 1 (* y z))) y)
(/ (- (+ 1 (/ 1 (* (pow y 2) (pow z 2)))) (+ (/ 1 (* y z)) (/ 1 (* (pow y 3) (pow z 3))))) y)
(* -1 (* y z))
(* -1 (* y (- z (/ 1 y))))
(* -1 (* y (- z (/ 1 y))))
(* -1 (* y (- z (/ 1 y))))
(* -1 (* x (* y z)))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(/ 1 (* y z))
(* -1 (/ (- (/ 1 (* y (pow z 2))) (/ 1 z)) y))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* y (pow z 3))) (/ 1 (pow z 2))) y)) (/ 1 z)) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* y (pow z 4))) (/ 1 (pow z 3))) y)) (/ 1 (pow z 2))) y)) (/ 1 z)) y))
(* -1 (* y z))
(* -1 (* y (- z (/ 1 y))))
(* -1 (* y (+ z (* -1 (/ (- 1 (/ 1 (* y z))) y)))))
(* -1 (* y (+ z (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 z) (/ 1 (* y (pow z 2)))) y))) y)))))
(* -1 (* x (* y z)))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* -1 (* y z))
(* -1 (* y (- z (/ 1 y))))
(* -1 (* y (- z (/ 1 y))))
(* -1 (* y (- z (/ 1 y))))
(/ -1 y)
(* -1 (/ (- 1 (/ 1 (* y z))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 z) (/ 1 (* y (pow z 2)))) y))) y))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow z 2)) (/ 1 (* y (pow z 3)))) y)) (/ 1 z)) y))) y))
(* -1 (* x (* y z)))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* -1 (* y (+ (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ x z)) (/ x z)) y))) y)) (* x z))))
(* -1 (* y (+ (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ x z)) (/ x z)) y))) y)) (* x z))))
(* -1 (* x z))
(+ (* -1 (* x z)) (/ x y))
(+ (* -1 (* x z)) (* -1 (/ (- (/ x (* y z)) x) y)))
(+ (* -1 (* x z)) (* -1 (/ (- (* -1 (/ (- (/ x (* y (pow z 2))) (/ x z)) y)) x) y)))
(/ x y)
(* -1 (/ (+ (* -1 x) (/ x (* y z))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x (* y (pow z 2))) (/ x z)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x (* y (pow z 3))) (/ x (pow z 2))) y)) (/ x z)) y))) y))
(/ 1 y)
(* -1 (/ (- (/ 1 (* y z)) 1) y))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* y (pow z 2))) (/ 1 z)) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* y (pow z 3))) (/ 1 (pow z 2))) y)) (/ 1 z)) y)) 1) y))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* -1 (/ (* x (* y (pow z 2))) (+ 1 (* y z))))
(* -1 (/ (* x (* y (pow z 2))) (+ 1 (* y z))))
(* -1 (/ (* x (* y (pow z 2))) (+ 1 (* y z))))
(* -1 (/ (* x (* y (pow z 2))) (+ 1 (* y z))))
(/ (* x z) (+ 1 (* y z)))
(/ (* x z) (+ 1 (* y z)))
(/ (* x z) (+ 1 (* y z)))
(/ (* x z) (+ 1 (* y z)))
(* x z)
(* x z)
(* x z)
(* x z)
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* -1 (/ (* x (* y (pow z 2))) (+ 1 (* y z))))
(* -1 (/ (* x (* y (pow z 2))) (+ 1 (* y z))))
(* -1 (/ (* x (* y (pow z 2))) (+ 1 (* y z))))
(* -1 (/ (* x (* y (pow z 2))) (+ 1 (* y z))))
(/ (* x z) (+ 1 (* y z)))
(/ (* x z) (+ 1 (* y z)))
(/ (* x z) (+ 1 (* y z)))
(/ (* x z) (+ 1 (* y z)))
(* x z)
(* x z)
(* x z)
(* x z)
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* -1 (* x (- (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z))) (/ 1 (+ 1 (* y z))))))
(* -1 (* x (- (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z))) (/ 1 (+ 1 (* y z))))))
(* -1 (* x (- (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z))) (/ 1 (+ 1 (* y z))))))
(* -1 (* x (- (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z))) (/ 1 (+ 1 (* y z))))))
(* -1 (/ (* x (* y (pow z 2))) (+ 1 (* y z))))
(* -1 (/ (* x (* y (pow z 2))) (+ 1 (* y z))))
(* -1 (/ (* x (* y (pow z 2))) (+ 1 (* y z))))
(* -1 (/ (* x (* y (pow z 2))) (+ 1 (* y z))))
(/ (* x z) (+ 1 (* y z)))
(/ (* x z) (+ 1 (* y z)))
(/ (* x z) (+ 1 (* y z)))
(/ (* x z) (+ 1 (* y z)))
(* x z)
(* x z)
(* x z)
(* x z)

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1 (* y z)))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(+ 1 (* -1 (* y z)))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(+ 1 (* -1 (* y z)))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
x
(+ x (* -1 (* x (* y z))))
(-.f64 x (.f64 y (.f64 z x)))
(+ x (* -1 (* x (* y z))))
(-.f64 x (.f64 y (.f64 z x)))
(+ x (* -1 (* x (* y z))))
(-.f64 x (.f64 y (.f64 z x)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* y z)))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(+ 1 (* z (- (* (pow y 2) z) y)))
(fma.f64 y (*.f64 z (fma.f64 y z #s(literal -1 binary64))) #s(literal 1 binary64))
(+ 1 (* z (- (* z (- (* -1 (* (pow y 3) z)) (* -1 (pow y 2)))) y)))
(fma.f64 y (.f64 z (fma.f64 z (-.f64 y (.f64 y (*.f64 y z))) #s(literal -1 binary64))) #s(literal 1 binary64))
(* -1 (* (pow y 2) (pow z 2)))
(.f64 y (.f64 z (*.f64 y (neg.f64 z))))
(* (pow z 2) (+ (* -1 (pow y 2)) (* (pow y 3) z)))
(.f64 y (.f64 z (.f64 y (.f64 z (fma.f64 y z #s(literal -1 binary64))))))
(* (pow z 2) (+ (* -1 (pow y 2)) (* z (+ (* -1 (* (pow y 4) z)) (pow y 3)))))
(.f64 (.f64 z z) (fma.f64 z (-.f64 (.f64 y (.f64 y y)) (.f64 z (pow.f64 y #s(literal 4 binary64)))) (.f64 y (neg.f64 y))))
(* (pow z 2) (+ (* -1 (pow y 2)) (* z (+ (* z (+ (* -1 (pow y 4)) (* (pow y 5) z))) (pow y 3)))))
(.f64 (.f64 z z) (fma.f64 z (fma.f64 z (-.f64 (.f64 z (pow.f64 y #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 y (.f64 y y))) (.f64 y (neg.f64 y))))
x
(+ x (* -1 (* x (* y z))))
(-.f64 x (.f64 y (.f64 z x)))
(+ x (* -1 (* x (* y z))))
(-.f64 x (.f64 y (.f64 z x)))
(+ x (* -1 (* x (* y z))))
(-.f64 x (.f64 y (.f64 z x)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* y z)))
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(+ 1 (* -1 (* y z)))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(+ 1 (* -1 (* y z)))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(* -1 z)
(neg.f64 z)
(* z (- (* y z) 1))
(*.f64 z (fma.f64 y z #s(literal -1 binary64)))
(* z (- (* z (+ y (* -1 (* (pow y 2) z)))) 1))
(.f64 z (fma.f64 z (-.f64 y (.f64 y (*.f64 y z))) #s(literal -1 binary64)))
(* z (- (* z (+ y (* z (+ (* -1 (pow y 2)) (* (pow y 3) z))))) 1))
(.f64 z (fma.f64 y z (fma.f64 y (.f64 z (.f64 y (.f64 z (fma.f64 y z #s(literal -1 binary64))))) #s(literal -1 binary64))))
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(* -1 z)
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x
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(-.f64 x (.f64 y (.f64 z x)))
(+ x (* -1 (* x (* y z))))
(-.f64 x (.f64 y (.f64 z x)))
(* -1 (* x (* y (pow z 2))))
(.f64 z (.f64 z (*.f64 y (neg.f64 x))))
(* (pow z 2) (+ (* -1 (* x y)) (* x (* (pow y 2) z))))
(.f64 z (.f64 x (.f64 y (.f64 z (fma.f64 y z #s(literal -1 binary64))))))
(* (pow z 2) (+ (* -1 (* x y)) (* z (+ (* -1 (* x (* (pow y 3) z))) (* x (pow y 2))))))
(.f64 (.f64 z z) (fma.f64 z (.f64 x (fma.f64 y y (.f64 z (.f64 y (.f64 y (neg.f64 y)))))) (*.f64 y (neg.f64 x))))
(* (pow z 2) (+ (* -1 (* x y)) (* z (+ (* x (pow y 2)) (* z (+ (* -1 (* x (pow y 3))) (* x (* (pow y 4) z))))))))
(.f64 z (.f64 z (fma.f64 z (fma.f64 x (fma.f64 y y (.f64 z (.f64 y (.f64 y (neg.f64 y))))) (.f64 x (.f64 (.f64 z (pow.f64 y #s(literal 4 binary64))) z))) (*.f64 y (neg.f64 x)))))
(* x z)
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(* z (+ x (* -1 (* x (* y z)))))
(.f64 z (-.f64 x (.f64 y (*.f64 z x))))
(* z (+ x (* z (- (* x (* (pow y 2) z)) (* x y)))))
(.f64 z (fma.f64 x (.f64 y (*.f64 z (fma.f64 y z #s(literal -1 binary64)))) x))
(* z (+ x (* z (- (* z (- (* -1 (* x (* (pow y 3) z))) (* -1 (* x (pow y 2))))) (* x y)))))
(.f64 z (fma.f64 z (fma.f64 z (.f64 x (fma.f64 y y (.f64 z (.f64 y (.f64 y (neg.f64 y)))))) (.f64 y (neg.f64 x))) x))
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
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(* x z)
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z
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(fma.f64 z (.f64 y (.f64 z (fma.f64 y z #s(literal -1 binary64)))) z)
(* z (+ 1 (* z (- (* z (- (* -1 (* (pow y 3) z)) (* -1 (pow y 2)))) y))))
(fma.f64 z (.f64 y (.f64 z (fma.f64 z (-.f64 y (.f64 y (.f64 y z))) #s(literal -1 binary64)))) z)
(* -1 (* y z))
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(* z (+ (* -1 y) (/ 1 z)))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(* z (+ (* -1 y) (/ 1 z)))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(* z (+ (* -1 y) (/ 1 z)))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(* -1 (* x (* y z)))
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(* z (+ (* -1 (* x y)) (/ x z)))
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(* z (+ (* -1 (* x y)) (/ x z)))
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(* z (+ (* -1 (* x y)) (/ x z)))
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(/ 1 (* y z))
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(/ (- (/ 1 y) (/ 1 (* (pow y 2) z))) z)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z))) y) z)
(/ (- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (/ 1 (* (pow y 2) z))) z)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 z (.f64 y (.f64 y (.f64 y z))))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z))) y)) z)
(/ (- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (+ (/ 1 (* (pow y 2) z)) (/ 1 (* (pow y 4) (pow z 3))))) z)
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 z (.f64 y (.f64 y (.f64 y z))))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 y z))) y)) (/.f64 #s(literal -1 binary64) (.f64 (.f64 z z) (.f64 z (pow.f64 y #s(literal 4 binary64)))))) z)
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(-.f64 #s(literal 1 binary64) (*.f64 y z))
(* z (- (+ (* -1 y) (/ 1 z)) (/ 1 (* y (pow z 2)))))
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(* z (- (+ (* -1 y) (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3))))) (/ 1 (* y (pow z 2)))))
(fma.f64 y (neg.f64 z) (fma.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 z (.f64 z z)))) (/.f64 #s(literal -1 binary64) (.f64 y (.f64 z z)))) #s(literal 1 binary64)))
(* -1 (* x (* y z)))
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(* z (+ (* -1 (* x y)) (/ x z)))
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(* z (+ (* -1 (* x y)) (/ x z)))
(*.f64 z (fma.f64 y (neg.f64 x) (/.f64 x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
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(* -1 (* y z))
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(-.f64 #s(literal 1 binary64) (*.f64 y z))
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(-.f64 #s(literal 1 binary64) (*.f64 y z))
(/ -1 y)
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(- (/ 1 (* (pow y 2) z)) (/ 1 y))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y z))) y)
(- (/ 1 (* (pow y 2) z)) (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))))
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(- (+ (/ 1 (* (pow y 2) z)) (/ 1 (* (pow y 4) (pow z 3)))) (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))))
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(* -1 z)
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(* -1 (* x (* y z)))
(.f64 z (.f64 y (neg.f64 x)))
(* z (+ (* -1 (* x y)) (/ x z)))
(*.f64 z (fma.f64 y (neg.f64 x) (/.f64 x z)))
(* z (+ (* -1 (* x y)) (+ (* -1 (/ x (* y (pow z 2)))) (+ (/ x z) (/ x (* y (pow z 2)))))))
(.f64 z (-.f64 (+.f64 (/.f64 x z) (/.f64 x (.f64 y (.f64 z z)))) (fma.f64 y x (/.f64 x (.f64 y (*.f64 z z))))))
(* z (+ (* -1 (* x y)) (+ (* -1 (/ x (* y (pow z 2)))) (+ (/ x z) (/ x (* y (pow z 2)))))))
(.f64 z (-.f64 (+.f64 (/.f64 x z) (/.f64 x (.f64 y (.f64 z z)))) (fma.f64 y x (/.f64 x (.f64 y (*.f64 z z))))))
(* -1 (* x z))
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(* z (+ (* -1 x) (/ x (* y z))))
(-.f64 (.f64 #s(literal 1 binary64) (/.f64 x y)) (.f64 z x))
(* z (+ (* -1 x) (+ (* -1 (/ x (* (pow y 2) (pow z 2)))) (/ x (* y z)))))
(.f64 z (-.f64 (/.f64 (/.f64 (-.f64 x (/.f64 x (.f64 y z))) y) z) x))
(* z (+ (* -1 x) (+ (* -1 (/ x (* (pow y 2) (pow z 2)))) (+ (/ x (* y z)) (/ x (* (pow y 3) (pow z 3)))))))
(.f64 z (+.f64 (/.f64 (/.f64 (-.f64 x (/.f64 x (.f64 y z))) y) z) (-.f64 (/.f64 x (.f64 (.f64 y y) (.f64 y (.f64 z (*.f64 z z))))) x)))
(/ x y)
(/.f64 x y)
(+ (* -1 (/ x (* (pow y 2) z))) (/ x y))
(/.f64 (-.f64 x (/.f64 x (*.f64 y z))) y)
(- (+ (/ x y) (/ x (* (pow y 3) (pow z 2)))) (/ x (* (pow y 2) z)))
(+.f64 (/.f64 (-.f64 x (/.f64 x (.f64 y z))) y) (/.f64 x (.f64 z (.f64 y (.f64 y (*.f64 y z))))))
(- (+ (* -1 (/ x (* (pow y 4) (pow z 3)))) (/ x y)) (+ (* -1 (/ x (* (pow y 3) (pow z 2)))) (/ x (* (pow y 2) z))))
(-.f64 (+.f64 (/.f64 (-.f64 x (/.f64 x (.f64 y z))) y) (/.f64 x (.f64 z (.f64 y (.f64 y (.f64 y z)))))) (/.f64 x (.f64 (.f64 z z) (.f64 z (pow.f64 y #s(literal 4 binary64))))))
(* x z)
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(* x z)
(*.f64 z x)
(* x z)
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(* x z)
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(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(- (/ 1 y) (/ 1 (* (pow y 2) z)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z))) y)
(- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (/ 1 (* (pow y 2) z)))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 z (.f64 y (.f64 y (.f64 y z))))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z))) y))
(- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (+ (/ 1 (* (pow y 2) z)) (/ 1 (* (pow y 4) (pow z 3)))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 z (.f64 y (.f64 y (.f64 y z))))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 y z))) y)) (/.f64 #s(literal -1 binary64) (.f64 (.f64 z z) (.f64 z (pow.f64 y #s(literal 4 binary64))))))
(* -1 (* y z))
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(-.f64 #s(literal 1 binary64) (*.f64 y z))
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(-.f64 #s(literal 1 binary64) (*.f64 y z))
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(-.f64 #s(literal 1 binary64) (*.f64 y z))
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(.f64 z (.f64 y (neg.f64 x)))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
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(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(*.f64 z (fma.f64 y (neg.f64 x) (/.f64 x z)))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(*.f64 z (fma.f64 y (neg.f64 x) (/.f64 x z)))
(/ 1 (* y z))
(/.f64 #s(literal 1 binary64) (*.f64 y z))
(* -1 (/ (- (/ 1 (* (pow y 2) z)) (/ 1 y)) z))
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(* -1 (* y (- z (/ 1 y))))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(* -1 (* y (- z (/ 1 y))))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(* -1 (* y (- z (/ 1 y))))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* -1 (/ (- 1 (/ 1 (* y z))) y))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y z))) y)
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 z) (/ 1 (* y (pow z 2)))) y))) y))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y z))) z) y)) y)
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow z 2)) (/ 1 (* y (pow z 3)))) y)) (/ 1 z)) y))) y))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 y y) (.f64 z (.f64 z z)))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y z))) z)) y)) y)
(* -1 (* x (* y z)))
(.f64 z (.f64 y (neg.f64 x)))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(*.f64 y (fma.f64 z (neg.f64 x) (/.f64 x y)))
(* -1 (* y (+ (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ x z)) (/ x z)) y))) y)) (* x z))))
(*.f64 y (fma.f64 z (neg.f64 x) (/.f64 x y)))
(* -1 (* y (+ (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ x z)) (/ x z)) y))) y)) (* x z))))
(*.f64 y (fma.f64 z (neg.f64 x) (/.f64 x y)))
(* -1 (* x z))
(neg.f64 (*.f64 z x))
(+ (* -1 (* x z)) (/ x y))
(fma.f64 z (neg.f64 x) (/.f64 x y))
(+ (* -1 (* x z)) (* -1 (/ (- (/ x (* y z)) x) y)))
(-.f64 (/.f64 (-.f64 x (/.f64 x (.f64 y z))) y) (.f64 z x))
(+ (* -1 (* x z)) (* -1 (/ (- (* -1 (/ (- (/ x (* y (pow z 2))) (/ x z)) y)) x) y)))
(-.f64 (/.f64 (-.f64 x (/.f64 (/.f64 (-.f64 x (/.f64 x (.f64 y z))) y) z)) y) (.f64 z x))
(/ x y)
(/.f64 x y)
(* -1 (/ (+ (* -1 x) (/ x (* y z))) y))
(/.f64 (-.f64 x (/.f64 x (*.f64 y z))) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x (* y (pow z 2))) (/ x z)) y))) y))
(/.f64 (-.f64 x (/.f64 (/.f64 (-.f64 x (/.f64 x (*.f64 y z))) y) z)) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x (* y (pow z 3))) (/ x (pow z 2))) y)) (/ x z)) y))) y))
(neg.f64 (/.f64 (-.f64 (/.f64 (+.f64 (-.f64 (/.f64 x (.f64 (.f64 y y) (.f64 z (.f64 z z)))) (/.f64 x (.f64 y (.f64 z z)))) (/.f64 x z)) y) x) y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(* -1 (/ (- (/ 1 (* y z)) 1) y))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z))) y)
(* -1 (/ (- (* -1 (/ (- (/ 1 (* y (pow z 2))) (/ 1 z)) y)) 1) y))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y z))) z) y)) y)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* y (pow z 3))) (/ 1 (pow z 2))) y)) (/ 1 z)) y)) 1) y))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 y y) (.f64 z (.f64 z z)))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y z))) z)) y)) y)
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(fma.f64 x (/.f64 (.f64 z (.f64 y (*.f64 y z))) (fma.f64 y (neg.f64 z) #s(literal -1 binary64))) (/.f64 x (fma.f64 y z #s(literal 1 binary64))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(fma.f64 x (/.f64 (.f64 z (.f64 y (*.f64 y z))) (fma.f64 y (neg.f64 z) #s(literal -1 binary64))) (/.f64 x (fma.f64 y z #s(literal 1 binary64))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(fma.f64 x (/.f64 (.f64 z (.f64 y (*.f64 y z))) (fma.f64 y (neg.f64 z) #s(literal -1 binary64))) (/.f64 x (fma.f64 y z #s(literal 1 binary64))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(fma.f64 x (/.f64 (.f64 z (.f64 y (*.f64 y z))) (fma.f64 y (neg.f64 z) #s(literal -1 binary64))) (/.f64 x (fma.f64 y z #s(literal 1 binary64))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(fma.f64 x (/.f64 (.f64 z (.f64 y (*.f64 y z))) (fma.f64 y (neg.f64 z) #s(literal -1 binary64))) (/.f64 x (fma.f64 y z #s(literal 1 binary64))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(fma.f64 x (/.f64 (.f64 z (.f64 y (*.f64 y z))) (fma.f64 y (neg.f64 z) #s(literal -1 binary64))) (/.f64 x (fma.f64 y z #s(literal 1 binary64))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(fma.f64 x (/.f64 (.f64 z (.f64 y (*.f64 y z))) (fma.f64 y (neg.f64 z) #s(literal -1 binary64))) (/.f64 x (fma.f64 y z #s(literal 1 binary64))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(fma.f64 x (/.f64 (.f64 z (.f64 y (*.f64 y z))) (fma.f64 y (neg.f64 z) #s(literal -1 binary64))) (/.f64 x (fma.f64 y z #s(literal 1 binary64))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(fma.f64 x (/.f64 (.f64 z (.f64 y (*.f64 y z))) (fma.f64 y (neg.f64 z) #s(literal -1 binary64))) (/.f64 x (fma.f64 y z #s(literal 1 binary64))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(fma.f64 x (/.f64 (.f64 z (.f64 y (*.f64 y z))) (fma.f64 y (neg.f64 z) #s(literal -1 binary64))) (/.f64 x (fma.f64 y z #s(literal 1 binary64))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(fma.f64 x (/.f64 (.f64 z (.f64 y (*.f64 y z))) (fma.f64 y (neg.f64 z) #s(literal -1 binary64))) (/.f64 x (fma.f64 y z #s(literal 1 binary64))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(fma.f64 x (/.f64 (.f64 z (.f64 y (*.f64 y z))) (fma.f64 y (neg.f64 z) #s(literal -1 binary64))) (/.f64 x (fma.f64 y z #s(literal 1 binary64))))
(* -1 (/ (* x (* y (pow z 2))) (+ 1 (* y z))))
(/.f64 (.f64 y (.f64 x (*.f64 z z))) (fma.f64 y (neg.f64 z) #s(literal -1 binary64)))
(* -1 (/ (* x (* y (pow z 2))) (+ 1 (* y z))))
(/.f64 (.f64 y (.f64 x (*.f64 z z))) (fma.f64 y (neg.f64 z) #s(literal -1 binary64)))
(* -1 (/ (* x (* y (pow z 2))) (+ 1 (* y z))))
(/.f64 (.f64 y (.f64 x (*.f64 z z))) (fma.f64 y (neg.f64 z) #s(literal -1 binary64)))
(* -1 (/ (* x (* y (pow z 2))) (+ 1 (* y z))))
(/.f64 (.f64 y (.f64 x (*.f64 z z))) (fma.f64 y (neg.f64 z) #s(literal -1 binary64)))
(/ (* x z) (+ 1 (* y z)))
(*.f64 z (/.f64 x (fma.f64 y z #s(literal 1 binary64))))
(/ (* x z) (+ 1 (* y z)))
(*.f64 z (/.f64 x (fma.f64 y z #s(literal 1 binary64))))
(/ (* x z) (+ 1 (* y z)))
(*.f64 z (/.f64 x (fma.f64 y z #s(literal 1 binary64))))
(/ (* x z) (+ 1 (* y z)))
(*.f64 z (/.f64 x (fma.f64 y z #s(literal 1 binary64))))
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(fma.f64 x (/.f64 (.f64 z (.f64 y (*.f64 y z))) (fma.f64 y (neg.f64 z) #s(literal -1 binary64))) (/.f64 x (fma.f64 y z #s(literal 1 binary64))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(fma.f64 x (/.f64 (.f64 z (.f64 y (*.f64 y z))) (fma.f64 y (neg.f64 z) #s(literal -1 binary64))) (/.f64 x (fma.f64 y z #s(literal 1 binary64))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(fma.f64 x (/.f64 (.f64 z (.f64 y (*.f64 y z))) (fma.f64 y (neg.f64 z) #s(literal -1 binary64))) (/.f64 x (fma.f64 y z #s(literal 1 binary64))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(fma.f64 x (/.f64 (.f64 z (.f64 y (*.f64 y z))) (fma.f64 y (neg.f64 z) #s(literal -1 binary64))) (/.f64 x (fma.f64 y z #s(literal 1 binary64))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(fma.f64 x (/.f64 (.f64 z (.f64 y (*.f64 y z))) (fma.f64 y (neg.f64 z) #s(literal -1 binary64))) (/.f64 x (fma.f64 y z #s(literal 1 binary64))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(fma.f64 x (/.f64 (.f64 z (.f64 y (*.f64 y z))) (fma.f64 y (neg.f64 z) #s(literal -1 binary64))) (/.f64 x (fma.f64 y z #s(literal 1 binary64))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(fma.f64 x (/.f64 (.f64 z (.f64 y (*.f64 y z))) (fma.f64 y (neg.f64 z) #s(literal -1 binary64))) (/.f64 x (fma.f64 y z #s(literal 1 binary64))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(fma.f64 x (/.f64 (.f64 z (.f64 y (*.f64 y z))) (fma.f64 y (neg.f64 z) #s(literal -1 binary64))) (/.f64 x (fma.f64 y z #s(literal 1 binary64))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(fma.f64 x (/.f64 (.f64 z (.f64 y (*.f64 y z))) (fma.f64 y (neg.f64 z) #s(literal -1 binary64))) (/.f64 x (fma.f64 y z #s(literal 1 binary64))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(fma.f64 x (/.f64 (.f64 z (.f64 y (*.f64 y z))) (fma.f64 y (neg.f64 z) #s(literal -1 binary64))) (/.f64 x (fma.f64 y z #s(literal 1 binary64))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(fma.f64 x (/.f64 (.f64 z (.f64 y (*.f64 y z))) (fma.f64 y (neg.f64 z) #s(literal -1 binary64))) (/.f64 x (fma.f64 y z #s(literal 1 binary64))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(fma.f64 x (/.f64 (.f64 z (.f64 y (*.f64 y z))) (fma.f64 y (neg.f64 z) #s(literal -1 binary64))) (/.f64 x (fma.f64 y z #s(literal 1 binary64))))
(* -1 (/ (* x (* y (pow z 2))) (+ 1 (* y z))))
(/.f64 (.f64 y (.f64 x (*.f64 z z))) (fma.f64 y (neg.f64 z) #s(literal -1 binary64)))
(* -1 (/ (* x (* y (pow z 2))) (+ 1 (* y z))))
(/.f64 (.f64 y (.f64 x (*.f64 z z))) (fma.f64 y (neg.f64 z) #s(literal -1 binary64)))
(* -1 (/ (* x (* y (pow z 2))) (+ 1 (* y z))))
(/.f64 (.f64 y (.f64 x (*.f64 z z))) (fma.f64 y (neg.f64 z) #s(literal -1 binary64)))
(* -1 (/ (* x (* y (pow z 2))) (+ 1 (* y z))))
(/.f64 (.f64 y (.f64 x (*.f64 z z))) (fma.f64 y (neg.f64 z) #s(literal -1 binary64)))
(/ (* x z) (+ 1 (* y z)))
(*.f64 z (/.f64 x (fma.f64 y z #s(literal 1 binary64))))
(/ (* x z) (+ 1 (* y z)))
(*.f64 z (/.f64 x (fma.f64 y z #s(literal 1 binary64))))
(/ (* x z) (+ 1 (* y z)))
(*.f64 z (/.f64 x (fma.f64 y z #s(literal 1 binary64))))
(/ (* x z) (+ 1 (* y z)))
(*.f64 z (/.f64 x (fma.f64 y z #s(literal 1 binary64))))
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(fma.f64 x (/.f64 (.f64 z (.f64 y (*.f64 y z))) (fma.f64 y (neg.f64 z) #s(literal -1 binary64))) (/.f64 x (fma.f64 y z #s(literal 1 binary64))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(fma.f64 x (/.f64 (.f64 z (.f64 y (*.f64 y z))) (fma.f64 y (neg.f64 z) #s(literal -1 binary64))) (/.f64 x (fma.f64 y z #s(literal 1 binary64))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(fma.f64 x (/.f64 (.f64 z (.f64 y (*.f64 y z))) (fma.f64 y (neg.f64 z) #s(literal -1 binary64))) (/.f64 x (fma.f64 y z #s(literal 1 binary64))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(fma.f64 x (/.f64 (.f64 z (.f64 y (*.f64 y z))) (fma.f64 y (neg.f64 z) #s(literal -1 binary64))) (/.f64 x (fma.f64 y z #s(literal 1 binary64))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(fma.f64 x (/.f64 (.f64 z (.f64 y (*.f64 y z))) (fma.f64 y (neg.f64 z) #s(literal -1 binary64))) (/.f64 x (fma.f64 y z #s(literal 1 binary64))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(fma.f64 x (/.f64 (.f64 z (.f64 y (*.f64 y z))) (fma.f64 y (neg.f64 z) #s(literal -1 binary64))) (/.f64 x (fma.f64 y z #s(literal 1 binary64))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(fma.f64 x (/.f64 (.f64 z (.f64 y (*.f64 y z))) (fma.f64 y (neg.f64 z) #s(literal -1 binary64))) (/.f64 x (fma.f64 y z #s(literal 1 binary64))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(fma.f64 x (/.f64 (.f64 z (.f64 y (*.f64 y z))) (fma.f64 y (neg.f64 z) #s(literal -1 binary64))) (/.f64 x (fma.f64 y z #s(literal 1 binary64))))
(* -1 (* x (- (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z))) (/ 1 (+ 1 (* y z))))))
(neg.f64 (.f64 x (fma.f64 y (/.f64 (.f64 y (*.f64 z z)) (fma.f64 y z #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 y z #s(literal 1 binary64))))))
(* -1 (* x (- (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z))) (/ 1 (+ 1 (* y z))))))
(neg.f64 (.f64 x (fma.f64 y (/.f64 (.f64 y (*.f64 z z)) (fma.f64 y z #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 y z #s(literal 1 binary64))))))
(* -1 (* x (- (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z))) (/ 1 (+ 1 (* y z))))))
(neg.f64 (.f64 x (fma.f64 y (/.f64 (.f64 y (*.f64 z z)) (fma.f64 y z #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 y z #s(literal 1 binary64))))))
(* -1 (* x (- (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z))) (/ 1 (+ 1 (* y z))))))
(neg.f64 (.f64 x (fma.f64 y (/.f64 (.f64 y (*.f64 z z)) (fma.f64 y z #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 y z #s(literal 1 binary64))))))
(* -1 (/ (* x (* y (pow z 2))) (+ 1 (* y z))))
(/.f64 (.f64 y (.f64 x (*.f64 z z))) (fma.f64 y (neg.f64 z) #s(literal -1 binary64)))
(* -1 (/ (* x (* y (pow z 2))) (+ 1 (* y z))))
(/.f64 (.f64 y (.f64 x (*.f64 z z))) (fma.f64 y (neg.f64 z) #s(literal -1 binary64)))
(* -1 (/ (* x (* y (pow z 2))) (+ 1 (* y z))))
(/.f64 (.f64 y (.f64 x (*.f64 z z))) (fma.f64 y (neg.f64 z) #s(literal -1 binary64)))
(* -1 (/ (* x (* y (pow z 2))) (+ 1 (* y z))))
(/.f64 (.f64 y (.f64 x (*.f64 z z))) (fma.f64 y (neg.f64 z) #s(literal -1 binary64)))
(/ (* x z) (+ 1 (* y z)))
(*.f64 z (/.f64 x (fma.f64 y z #s(literal 1 binary64))))
(/ (* x z) (+ 1 (* y z)))
(*.f64 z (/.f64 x (fma.f64 y z #s(literal 1 binary64))))
(/ (* x z) (+ 1 (* y z)))
(*.f64 z (/.f64 x (fma.f64 y z #s(literal 1 binary64))))
(/ (* x z) (+ 1 (* y z)))
(*.f64 z (/.f64 x (fma.f64 y z #s(literal 1 binary64))))
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)

rewrite506.0ms (5%)

Memory

36.1MiB live, 667.5MiB allocated

Rules

8 162×	`lower-fma.f32`
8 156×	`lower-fma.f64`
5 190×	`lower-*.f32`
5 174×	`lower-*.f64`
3 250×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	191
0	49	191
1	176	187
2	1235	185
0	8278	185

Stop Event

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

Counts

13 → 554

Calls

Call 1

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

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

eval177.0ms (1.7%)

Memory: -17.2MiB live, 295.7MiB allocated
Compiler: Compiled 29 741 to 2 185 computations (92.7% saved)

prune173.0ms (1.7%)

Memory

-2.1MiB live, 289.8MiB allocated

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	954	2	956
Fresh	0	0	0
Picked	2	1	3
Done	0	6	6
Total	956	9	965

Accuracy

100.0%

Counts

965 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	94.8%	(fma.f64 (*.f64 x (neg.f64 y)) z x)
	76.9%	(fma.f64 y (.f64 #s(approx (/ ( x z) (+ (* y z) 1)) (/.f64 x y)) (neg.f64 (.f64 y z))) (.f64 x #s(approx (/ 1 (+ (* y z) 1)) #s(literal 1 binary64))))
✓	73.5%	(.f64 x (fma.f64 (/.f64 (neg.f64 z) (fma.f64 y z #s(literal 1 binary64))) (.f64 y (.f64 y z)) #s(approx (/ 1 (+ ( y z) 1)) #s(literal 1 binary64))))
	84.3%	(.f64 x (fma.f64 #s(approx (/ (neg z) (+ ( y z) 1)) (/.f64 #s(literal -1 binary64) y)) (.f64 y (.f64 y z)) #s(approx (/ 1 (+ (* y z) 1)) #s(literal 1 binary64))))
✓	95.1%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))
✓	51.7%	(.f64 x #s(approx (- 1 ( y z)) (*.f64 y (neg.f64 z))))
✓	44.3%	(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))
✓	53.6%	#s(approx (* x (- 1 (* y z))) (.f64 (.f64 x y) (neg.f64 z)))
✓	52.8%	#s(approx (* x (- 1 (* y z))) (.f64 y (.f64 x (neg.f64 z))))

Compiler

Compiled 312 to 126 computations (59.6% saved)

regimes54.0ms (0.5%)

Memory

-6.7MiB live, 67.7MiB allocated

Counts

15 → 2

Calls

Call 1

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

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

Calls

6 calls:

29.0ms	x
6.0ms	(-.f64 #s(literal 1 binary64) (*.f64 y z))
5.0ms	z
5.0ms	y
5.0ms	(*.f64 y z)

Results

Accuracy	Segments	Branch
98.5%	2	`x`
95.1%	1	`y`
97.4%	2	`z`
99.9%	3	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))`
99.9%	3	`(-.f64 #s(literal 1 binary64) (*.f64 y z))`
99.9%	3	`(*.f64 y z)`

Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes7.0ms (0.1%)

Memory

15.5MiB live, 15.5MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	x
2.0ms	(*.f64 y z)
2.0ms	(-.f64 #s(literal 1 binary64) (*.f64 y z))

Results

Accuracy	Segments	Branch
99.9%	3	`(-.f64 #s(literal 1 binary64) (*.f64 y z))`
99.9%	3	`(*.f64 y z)`
95.1%	1	`x`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes218.0ms (2.1%)

Memory

-11.9MiB live, 28.1MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

6 calls:

207.0ms	z
2.0ms	x
2.0ms	y
2.0ms	(*.f64 y z)
2.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))

Results

Accuracy	Segments	Branch
57.6%	3	`x`
78.3%	3	`y`
76.4%	3	`z`
81.2%	3	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))`
94.9%	3	`(-.f64 #s(literal 1 binary64) (*.f64 y z))`
94.9%	3	`(*.f64 y z)`

Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes3.0ms (0%)

Memory

5.3MiB live, 5.3MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

2 calls:

1.0ms	(-.f64 #s(literal 1 binary64) (*.f64 y z))
1.0ms	(*.f64 y z)

Results

Accuracy	Segments	Branch
93.0%	3	`(-.f64 #s(literal 1 binary64) (*.f64 y z))`
93.0%	3	`(*.f64 y z)`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes16.0ms (0.2%)

Memory

-1.9MiB live, 32.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))

Outputs
(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))

Calls

6 calls:

9.0ms	y
1.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))
1.0ms	z
1.0ms	x
1.0ms	(*.f64 y z)

Results

Accuracy	Segments	Branch
44.3%	1	`x`
44.3%	1	`z`
44.3%	1	`y`
44.3%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))`
44.3%	1	`(-.f64 #s(literal 1 binary64) (*.f64 y z))`
44.3%	1	`(*.f64 y z)`

Compiler

Compiled 36 to 26 computations (27.8% saved)

bsearch7.0ms (0.1%)

Memory

14.3MiB live, 14.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	1.2676716997516462e+70	4.308734772694381e+70

Samples

3.0ms

80×

valid

Compiler

Compiled 123 to 88 computations (28.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-mult: 1.0ms (61.1% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.6739902475347745e+89	1.6727970767981506e+96
0.0ms	-1.0553928828575435e+174	-2.5808342580808474e+163

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0016547502172968704	20130.463660089983
0.0ms	-4.249640373108465	-4.148847805432381

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0016547502172968704	20130.463660089983
0.0ms	-4.148847805432381	-0.013818810373098268

Compiler

Compiled 13 to 13 computations (0% saved)

simplify21.0ms (0.2%)

Memory

-17.1MiB live, 18.8MiB allocated

Algorithm

1×	egg-herbie

Rules

38×	`*-commutative_binary64`
18×	`+-commutative_binary64`
18×	`sub-neg_binary64`
18×	`neg-sub0_binary64`
18×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	172
1	65	172
2	95	172
3	115	172
4	123	172
5	125	172

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 16500000000000000813644815078760164992026420971590316361365687019503616 binary64)) (fma.f64 (.f64 x (neg.f64 y)) z x) (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))))
(if (<=.f64 (.f64 y z) #s(literal -1000000000000000068957567536844582937679826098352437099093782830596656320642208754566186799616905285426599982929417458880300383900478261195703581718577367397759832385751351296 binary64)) #s(approx ( x (- 1 (* y z))) (.f64 y (.f64 x (neg.f64 z)))) (if (<=.f64 (.f64 y z) #s(literal 199999999999999998950733150383609864631589220901364351243883389463816617076615690273685504 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z))) #s(approx ( x (- 1 (* y z))) (.f64 y (.f64 x (neg.f64 z))))))
(if (<=.f64 (.f64 y z) #s(literal -4728779608739021/1125899906842624 binary64)) #s(approx ( x (- 1 (* y z))) (.f64 (.f64 x y) (neg.f64 z))) (if (<=.f64 (.f64 y z) #s(literal 1152921504606847/576460752303423488 binary64)) (.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #s(approx (* x (- 1 (* y z))) (.f64 y (.f64 x (neg.f64 z))))))
(if (<=.f64 (.f64 y z) #s(literal -4 binary64)) #s(approx ( x (- 1 (* y z))) (.f64 y (.f64 x (neg.f64 z)))) (if (<=.f64 (.f64 y z) #s(literal 1152921504606847/576460752303423488 binary64)) (.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #s(approx (* x (- 1 (* y z))) (.f64 y (.f64 x (neg.f64 z))))))
(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))

Outputs
(if (<=.f64 x #s(literal 16500000000000000813644815078760164992026420971590316361365687019503616 binary64)) (fma.f64 (.f64 x (neg.f64 y)) z x) (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))))
(if (<=.f64 (.f64 y z) #s(literal -1000000000000000068957567536844582937679826098352437099093782830596656320642208754566186799616905285426599982929417458880300383900478261195703581718577367397759832385751351296 binary64)) #s(approx ( x (- 1 (* y z))) (.f64 y (.f64 x (neg.f64 z)))) (if (<=.f64 (.f64 y z) #s(literal 199999999999999998950733150383609864631589220901364351243883389463816617076615690273685504 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z))) #s(approx ( x (- 1 (* y z))) (.f64 y (.f64 x (neg.f64 z))))))
(if (<=.f64 (.f64 y z) #s(literal -4728779608739021/1125899906842624 binary64)) #s(approx ( x (- 1 (* y z))) (.f64 (.f64 x y) (neg.f64 z))) (if (<=.f64 (.f64 y z) #s(literal 1152921504606847/576460752303423488 binary64)) (.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #s(approx (* x (- 1 (* y z))) (.f64 y (.f64 x (neg.f64 z))))))
(if (<=.f64 (.f64 y z) #s(literal -4728779608739021/1125899906842624 binary64)) #s(approx ( x (- 1 (* y z))) (.f64 (.f64 x (neg.f64 y)) z)) (if (<=.f64 (.f64 y z) #s(literal 1152921504606847/576460752303423488 binary64)) (.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #s(approx (* x (- 1 (* y z))) (.f64 y (.f64 x (neg.f64 z))))))
(if (<=.f64 (.f64 y z) #s(literal -4 binary64)) #s(approx ( x (- 1 (* y z))) (.f64 y (.f64 x (neg.f64 z)))) (if (<=.f64 (.f64 y z) #s(literal 1152921504606847/576460752303423488 binary64)) (.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #s(approx (* x (- 1 (* y z))) (.f64 y (.f64 x (neg.f64 z))))))
(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))

soundness1.0s (10.1%)

Memory

-2.4MiB live, 417.2MiB allocated

Rules

22 928×	`lower-fma.f64`
22 928×	`lower-fma.f32`
12 898×	`lower-fma.f32`
12 894×	`lower-fma.f64`
5 808×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	446
1	136	416
2	296	416
3	488	416
4	2008	416
5	5035	416
6	6541	416
7	7282	416
8	7487	416
9	7593	416
10	7673	416
0	8014	416
0	28	152
0	47	122
1	153	120
2	1033	120
0	9065	120
0	7	15
0	10	15
1	32	15
2	192	15
3	1532	15
0	9726	13

Stop Event

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

Compiler

Compiled 199 to 88 computations (55.8% saved)

preprocess104.0ms (1%)

Memory: -7.6MiB live, 69.7MiB allocated
Remove: (negabs x)
Compiler: Compiled 472 to 176 computations (62.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	7	19
0	10	19
1	19	19
2	36	19
3	74	19
4	194	19
5	251	19
6	303	19
7	401	19
8	461	19
9	549	19
10	563	19
0	563	19

Iter	Nodes	Cost
0	7	19
0	10	19
1	19	19
2	36	19
3	74	19
4	194	19
5	251	19
6	303	19
7	401	19
8	461	19
9	549	19
10	563	19
0	563	19

start0.0ms (0%)

analyze0.0ms (0%)

sample649.0ms (6.4%)

explain69.0ms (0.7%)

preprocess50.0ms (0.5%)

eval0.0ms (0%)

prune10.0ms (0.1%)

simplify21.0ms (0.2%)

localize33.0ms (0.3%)

series8.0ms (0.1%)

simplify180.0ms (1.8%)

rewrite669.0ms (6.6%)

eval148.0ms (1.4%)

prune267.0ms (2.6%)

simplify206.0ms (2%)

localize315.0ms (3.1%)

series69.0ms (0.7%)

simplify501.0ms (4.9%)

rewrite1.7s (16.2%)

eval190.0ms (1.9%)

prune187.0ms (1.8%)

simplify285.0ms (2.8%)

localize110.0ms (1.1%)

series60.0ms (0.6%)

simplify317.0ms (3.1%)

rewrite620.0ms (6.1%)

eval357.0ms (3.5%)

prune289.0ms (2.8%)

simplify170.0ms (1.7%)

localize92.0ms (0.9%)

series39.0ms (0.4%)

simplify328.0ms (3.2%)

rewrite506.0ms (5%)

eval177.0ms (1.7%)

prune173.0ms (1.7%)

regimes54.0ms (0.5%)

regimes7.0ms (0.1%)

regimes218.0ms (2.1%)

regimes3.0ms (0%)

regimes16.0ms (0.2%)

bsearch7.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify21.0ms (0.2%)

soundness1.0s (10.1%)

preprocess104.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	19
0	10	19
1	19	19
2	36	19
3	74	19
4	194	19
5	251	19
6	303	19
7	401	19
8	461	19
9	549	19
10	563	19
0	563	19