Metrics for Language.Haskell.HsColour.ColourHighlight:unbase from hscolour-1.23

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
100%	99.8%	0%	0.2%	0%	0%	0%	1

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample749.0ms (12.4%)

Memory

19.6MiB live, 1 247.3MiB allocated

Samples

474.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 258.0ms

ival-mult: 176.0ms (68.2% of total)

ival-add: 73.0ms (28.3% of total)

ival-true: 6.0ms (2.3% of total)

ival-assert: 3.0ms (1.2% of total)

Bogosity

explain117.0ms (1.9%)

Memory

12.6MiB live, 126.6MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 (*.f64 x y) z)`
-	-	`(.f64 (+.f64 (.f64 x y) z) y)`
-	-	`y`
-	-	`t`
-	-	`z`
-	-	`(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)`
-	-	`(*.f64 x y)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

31.0ms

512×

valid

Compiler

Compiled 69 to 28 computations (59.4% saved)

Precisions

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

ival-add: 8.0ms (53.2% of total)

ival-mult: 7.0ms (46.5% of total)

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

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

preprocess131.0ms (2.2%)

Memory

-14.8MiB live, 65.3MiB allocated

Algorithm

1×	egg-herbie

Rules

1 050×	`unsub-neg`
536×	`sub-neg`
530×	`distribute-rgt-in`
520×	`distribute-lft-in`
356×	`associate-+l-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	140
1	121	127
2	285	126
3	1014	126
4	2378	126
5	3671	126
6	4332	126
7	4448	126
8	4468	126
9	4471	126
10	4471	126
11	4522	126
12	4538	126
13	4538	126
0	8	9
0	12	9
1	16	9
2	24	9
3	49	9
4	51	9
0	51	7

Stop Event

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

Calls

Call 1

Inputs
(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)

Outputs
(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
(fma.f64 (fma.f64 y x z) y t)

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify4.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

44×	`lower-fma.f64`
44×	`lower-fma.f32`
28×	`lower-+.f32`
24×	`lower-+.f64`
22×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
0	12	28
1	16	28
2	24	28
3	49	28
4	51	28
0	51	24

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize21.0ms (0.3%)

Memory

14.9MiB live, 52.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
accuracy	0	(+.f64 (*.f64 x y) z)
accuracy	0	(*.f64 x y)
accuracy	0.07421875	(.f64 (+.f64 (.f64 x y) z) y)

Samples

16.0ms

256×

valid

Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-add: 4.0ms (51.8% of total)

ival-mult: 3.0ms (38.8% of total)

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

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

series11.0ms (0.2%)

Memory

-6.7MiB live, 32.6MiB allocated

Counts

4 → 144

Calls

Call 1

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

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

Calls

12 calls:

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

simplify185.0ms (3.1%)

Memory

-27.8MiB live, 185.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8 672×	`lower-fma.f64`
8 672×	`lower-fma.f32`
2 818×	`lower-*.f64`
2 818×	`lower-*.f32`
1 148×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	840
1	335	840
2	1007	840
3	2705	832
4	5621	832
0	8108	710

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 137

Calls

Call 1

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

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

rewrite180.0ms (3%)

Memory

27.4MiB live, 255.4MiB allocated

Rules

6 702×	`lower-fma.f64`
6 702×	`lower-fma.f32`
4 756×	`lower-*.f32`
4 752×	`lower-*.f64`
2 970×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	12	24
1	41	24
2	308	24
3	3837	24
0	8119	20

Stop Event

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

Counts

4 → 257

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 (-.f64 (hypot.f64 t (.f64 (fma.f64 y x z) y)) (.f64 t (.f64 (fma.f64 y x z) y))) (-.f64 (pow.f64 (.f64 (fma.f64 y x z) y) #s(literal 6 binary64)) (pow.f64 t #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (.f64 (fma.f64 y x z) y) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (hypot.f64 t (.f64 (fma.f64 y x z) y)) (.f64 t (.f64 (fma.f64 y x z) y))) (hypot.f64 (pow.f64 (.f64 (fma.f64 y x z) y) #s(literal 9/2 binary64)) (pow.f64 t #s(literal 9/2 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (hypot.f64 (pow.f64 (.f64 (fma.f64 y x z) y) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (pow.f64 (.f64 t (.f64 (fma.f64 y x z) y)) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (.f64 (fma.f64 y x z) y) t) (-.f64 (pow.f64 (.f64 (fma.f64 y x z) y) #s(literal 4 binary64)) (pow.f64 t #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (hypot.f64 t (.f64 (fma.f64 y x z) y)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (.f64 (fma.f64 y x z) y) t) (-.f64 (pow.f64 (.f64 (fma.f64 y x z) y) #s(literal 6 binary64)) (pow.f64 t #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 t t) (hypot.f64 t (.f64 (fma.f64 y x z) y)) (pow.f64 (.f64 (fma.f64 y x z) y) #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (neg.f64 t) t (pow.f64 (.f64 (fma.f64 y x z) y) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 (fma.f64 y x z) y) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (fma.f64 t (fma.f64 (fma.f64 y x z) y t) (pow.f64 (.f64 (fma.f64 y x z) y) #s(literal 2 binary64))))
(.f64 (/.f64 (hypot.f64 (pow.f64 (.f64 (fma.f64 y x z) y) #s(literal 3/2 binary64)) (pow.f64 t #s(literal 3/2 binary64))) (-.f64 (pow.f64 (.f64 (fma.f64 y x z) y) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 t (.f64 (fma.f64 y x z) y)) t) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 (fma.f64 y x z) y) #s(literal 2 binary64)) (.f64 (-.f64 t (.f64 (fma.f64 y x z) y)) t)))
(.f64 (/.f64 (hypot.f64 (pow.f64 (.f64 (fma.f64 y x z) y) #s(literal 3/2 binary64)) (pow.f64 t #s(literal 3/2 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 t (.f64 (fma.f64 y x z) y)) t) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 y x z) y) #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 t (.f64 (fma.f64 y x z) y)) t) (-.f64 (.f64 (-.f64 t (.f64 (fma.f64 y x z) y)) t) (pow.f64 (.f64 (fma.f64 y x z) y) #s(literal 2 binary64))) (pow.f64 (*.f64 (fma.f64 y x z) y) #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 (neg.f64 t) t (pow.f64 (.f64 (fma.f64 y x z) y) #s(literal 2 binary64))) (fma.f64 (neg.f64 t) t (pow.f64 (*.f64 (fma.f64 y x z) y) #s(literal 2 binary64)))) (fma.f64 (fma.f64 y x z) y t))
(.f64 (-.f64 (.f64 t t) (pow.f64 (.f64 (fma.f64 y x z) y) #s(literal 2 binary64))) (pow.f64 (-.f64 t (.f64 (fma.f64 y x z) y)) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 (.f64 (fma.f64 y x z) y) t) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (neg.f64 t) t (pow.f64 (*.f64 (fma.f64 y x z) y) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 (.f64 (fma.f64 y x z) y) t) #s(literal -1 binary64)) (fma.f64 (neg.f64 t) t (pow.f64 (*.f64 (fma.f64 y x z) y) #s(literal 2 binary64))))
(.f64 (pow.f64 (-.f64 (hypot.f64 t (.f64 (fma.f64 y x z) y)) (.f64 t (.f64 (fma.f64 y x z) y))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (hypot.f64 (pow.f64 (*.f64 (fma.f64 y x z) y) #s(literal 3/2 binary64)) (pow.f64 t #s(literal 3/2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 (hypot.f64 t (.f64 (fma.f64 y x z) y)) (.f64 t (.f64 (fma.f64 y x z) y))) #s(literal -1 binary64)) (hypot.f64 (pow.f64 (*.f64 (fma.f64 y x z) y) #s(literal 3/2 binary64)) (pow.f64 t #s(literal 3/2 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y x z) y t))
(.f64 (neg.f64 (fma.f64 (neg.f64 t) t (pow.f64 (.f64 (fma.f64 y x z) y) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 y x z) y) t)) #s(literal -1 binary64)))
(.f64 (neg.f64 (hypot.f64 (pow.f64 (.f64 (fma.f64 y x z) y) #s(literal 3/2 binary64)) (pow.f64 t #s(literal 3/2 binary64)))) (pow.f64 (neg.f64 (-.f64 (hypot.f64 t (.f64 (fma.f64 y x z) y)) (.f64 t (*.f64 (fma.f64 y x z) y)))) #s(literal -1 binary64)))
(.f64 (fma.f64 (neg.f64 t) t (pow.f64 (.f64 (fma.f64 y x z) y) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 (fma.f64 y x z) y) t) #s(literal -1 binary64)))
(.f64 (-.f64 (hypot.f64 t (.f64 (fma.f64 y x z) y)) (.f64 t (.f64 (fma.f64 y x z) y))) (/.f64 (fma.f64 (fma.f64 y x z) y t) (-.f64 (hypot.f64 t (.f64 (fma.f64 y x z) y)) (.f64 t (*.f64 (fma.f64 y x z) y)))))
(.f64 (-.f64 (hypot.f64 t (.f64 (fma.f64 y x z) y)) (.f64 t (.f64 (fma.f64 y x z) y))) (.f64 (fma.f64 (fma.f64 y x z) y t) (pow.f64 (-.f64 (hypot.f64 t (.f64 (fma.f64 y x z) y)) (.f64 t (.f64 (fma.f64 y x z) y))) #s(literal -1 binary64))))
(.f64 (hypot.f64 (pow.f64 (.f64 (fma.f64 y x z) y) #s(literal 3/2 binary64)) (pow.f64 t #s(literal 3/2 binary64))) (pow.f64 (-.f64 (hypot.f64 t (.f64 (fma.f64 y x z) y)) (.f64 t (*.f64 (fma.f64 y x z) y))) #s(literal -1 binary64)))
(.f64 (fma.f64 (fma.f64 y x z) y t) (/.f64 (-.f64 (.f64 (fma.f64 y x z) y) t) (-.f64 (*.f64 (fma.f64 y x z) y) t)))
(.f64 (fma.f64 (fma.f64 y x z) y t) (.f64 (-.f64 (.f64 (fma.f64 y x z) y) t) (pow.f64 (-.f64 (.f64 (fma.f64 y x z) y) t) #s(literal -1 binary64))))
(pow.f64 (/.f64 (-.f64 t (.f64 (fma.f64 y x z) y)) (-.f64 (.f64 t t) (pow.f64 (*.f64 (fma.f64 y x z) y) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 (fma.f64 y x z) y t) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 (fma.f64 y x z) y t) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 y x z) y) #s(literal 4 binary64)) (pow.f64 t #s(literal 4 binary64))) (pow.f64 (-.f64 (.f64 (fma.f64 y x z) y) t) #s(literal -1 binary64))) (hypot.f64 t (.f64 (fma.f64 y x z) y)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 y x z) y) #s(literal 6 binary64)) (pow.f64 t #s(literal 6 binary64))) (pow.f64 (-.f64 (.f64 (fma.f64 y x z) y) t) #s(literal -1 binary64))) (fma.f64 (.f64 t t) (hypot.f64 t (.f64 (fma.f64 y x z) y)) (pow.f64 (.f64 (fma.f64 y x z) y) #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 y x z) y) #s(literal 6 binary64)) (pow.f64 t #s(literal 6 binary64))) (pow.f64 (-.f64 (hypot.f64 t (.f64 (fma.f64 y x z) y)) (.f64 t (.f64 (fma.f64 y x z) y))) #s(literal -1 binary64))) (-.f64 (pow.f64 (.f64 (fma.f64 y x z) y) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))
(/.f64 (.f64 (hypot.f64 (pow.f64 (.f64 (fma.f64 y x z) y) #s(literal 9/2 binary64)) (pow.f64 t #s(literal 9/2 binary64))) (pow.f64 (-.f64 (hypot.f64 t (.f64 (fma.f64 y x z) y)) (.f64 t (.f64 (fma.f64 y x z) y))) #s(literal -1 binary64))) (-.f64 (hypot.f64 (pow.f64 (.f64 (fma.f64 y x z) y) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (pow.f64 (.f64 t (.f64 (fma.f64 y x z) y)) #s(literal 3 binary64))))
(/.f64 (.f64 (hypot.f64 (pow.f64 (.f64 (fma.f64 y x z) y) #s(literal 3/2 binary64)) (pow.f64 t #s(literal 3/2 binary64))) #s(literal 1 binary64)) (-.f64 (hypot.f64 t (.f64 (fma.f64 y x z) y)) (.f64 t (*.f64 (fma.f64 y x z) y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (fma.f64 y x z) y) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 y x z) y) t)) #s(literal 2 binary64)) (pow.f64 (.f64 t (/.f64 t (-.f64 (.f64 (fma.f64 y x z) y) t))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (.f64 (fma.f64 y x z) y) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 y x z) y) t)) (.f64 t (/.f64 t (-.f64 (.f64 (fma.f64 y x z) y) t)))))
(/.f64 (-.f64 (/.f64 (pow.f64 (.f64 (fma.f64 y x z) y) #s(literal 6 binary64)) (pow.f64 (-.f64 (.f64 (fma.f64 y x z) y) t) #s(literal 3 binary64))) (/.f64 (pow.f64 t #s(literal 6 binary64)) (pow.f64 (-.f64 (.f64 (fma.f64 y x z) y) t) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (fma.f64 y x z) y) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 y x z) y) t)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 t (/.f64 t (-.f64 (.f64 (fma.f64 y x z) y) t))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 (fma.f64 y x z) y) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 y x z) y) t)) (.f64 t (/.f64 t (-.f64 (.f64 (fma.f64 y x z) y) t)))))))
(/.f64 (neg.f64 (-.f64 (.f64 t t) (pow.f64 (.f64 (fma.f64 y x z) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 t (*.f64 (fma.f64 y x z) y))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 t) t (pow.f64 (.f64 (fma.f64 y x z) y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (.f64 (fma.f64 y x z) y) t))))
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(pow.f64 (*.f64 (fma.f64 y x z) y) #s(literal 1 binary64))
(/.f64 (exp.f64 (log.f64 (.f64 (fma.f64 (neg.f64 z) z (pow.f64 (.f64 y x) #s(literal 2 binary64))) y))) (exp.f64 (log.f64 (-.f64 (*.f64 y x) z))))
(/.f64 (exp.f64 (log.f64 (.f64 (hypot.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 (.f64 y x) #s(literal 3/2 binary64))) y))) (exp.f64 (log.f64 (-.f64 (hypot.f64 z (.f64 y x)) (.f64 z (*.f64 y x))))))
(/.f64 (.f64 (-.f64 (.f64 z z) (pow.f64 (.f64 y x) #s(literal 2 binary64))) y) (-.f64 z (.f64 y x)))
(/.f64 (*.f64 #s(literal 1 binary64) y) (pow.f64 (fma.f64 y x z) #s(literal -1 binary64)))
(/.f64 (.f64 (neg.f64 (fma.f64 (neg.f64 z) z (pow.f64 (.f64 y x) #s(literal 2 binary64)))) y) (neg.f64 (-.f64 (*.f64 y x) z)))
(/.f64 (.f64 (neg.f64 (hypot.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 (.f64 y x) #s(literal 3/2 binary64)))) y) (neg.f64 (-.f64 (hypot.f64 z (.f64 y x)) (.f64 z (*.f64 y x)))))
(/.f64 (.f64 y (-.f64 (.f64 z z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (-.f64 z (.f64 y x)))
(/.f64 (*.f64 y #s(literal 1 binary64)) (pow.f64 (fma.f64 y x z) #s(literal -1 binary64)))
(/.f64 (.f64 y (neg.f64 (fma.f64 (neg.f64 z) z (pow.f64 (.f64 y x) #s(literal 2 binary64))))) (neg.f64 (-.f64 (*.f64 y x) z)))
(/.f64 (.f64 y (neg.f64 (hypot.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 (.f64 y x) #s(literal 3/2 binary64))))) (neg.f64 (-.f64 (hypot.f64 z (.f64 y x)) (.f64 z (*.f64 y x)))))
(/.f64 (-.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64))) (-.f64 (.f64 z y) (.f64 (.f64 y y) x)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 y y) x) (.f64 z y)))
(/.f64 (+.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 y y) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (.f64 (.f64 z y) (.f64 (.f64 y y) x)))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 z y) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 (.f64 (.f64 y y) x) (.f64 z y)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (neg.f64 z) z (pow.f64 (.f64 y x) #s(literal 2 binary64))) y)) (neg.f64 (-.f64 (*.f64 y x) z)))
(/.f64 (neg.f64 (.f64 (hypot.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 (.f64 y x) #s(literal 3/2 binary64))) y)) (neg.f64 (-.f64 (hypot.f64 z (.f64 y x)) (.f64 z (*.f64 y x)))))
(/.f64 (.f64 (fma.f64 (neg.f64 z) z (pow.f64 (.f64 y x) #s(literal 2 binary64))) y) (-.f64 (*.f64 y x) z))
(/.f64 (.f64 (hypot.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 (.f64 y x) #s(literal 3/2 binary64))) y) (-.f64 (hypot.f64 z (.f64 y x)) (.f64 z (*.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y x) z) (.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 y x) #s(literal 2 binary64))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (hypot.f64 z (.f64 y x)) (.f64 z (.f64 y x))) (.f64 (hypot.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))) y)))
(/.f64 y (pow.f64 (fma.f64 y x z) #s(literal -1 binary64)))
(fma.f64 (.f64 y y) x (.f64 z y))
(fma.f64 z y (.f64 (.f64 y y) x))
(fma.f64 (.f64 y x) y (.f64 z y))
(fma.f64 y z (.f64 (.f64 y y) x))
(fma.f64 y (.f64 y x) (.f64 z y))
(fma.f64 x (.f64 y y) (.f64 z y))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 y x z) y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (fma.f64 y x z) y)))
(+.f64 (.f64 z y) (.f64 (*.f64 y y) x))
(+.f64 (.f64 (.f64 y y) x) (*.f64 z y))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 x)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 y x)
(*.f64 x y)
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (.f64 y x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y x)))

eval47.0ms (0.8%)

Memory: -15.6MiB live, 105.4MiB allocated
Compiler: Compiled 8 004 to 892 computations (88.9% saved)

prune13.0ms (0.2%)

Memory

4.0MiB live, 42.4MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	383	11	394
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	384	11	395

Accuracy

100.0%

Counts

395 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.8%	(fma.f64 (fma.f64 (neg.f64 z) z (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 y (-.f64 (.f64 y x) z)) t)
▶	100.0%	(fma.f64 (fma.f64 y x z) y t)
	42.1%	(/.f64 (fma.f64 (neg.f64 t) t (pow.f64 (.f64 (fma.f64 y x z) y) #s(literal 2 binary64))) (-.f64 (.f64 (fma.f64 y x z) y) t))
▶	64.0%	(+.f64 (.f64 (fma.f64 (.f64 x x) (/.f64 (.f64 y y) (-.f64 (.f64 y x) z)) (neg.f64 (.f64 z (/.f64 z (-.f64 (.f64 y x) z))))) y) t)
▶	66.4%	(+.f64 #s(approx (* (+ (* x y) z) y) (*.f64 z y)) t)
	71.3%	(.f64 (fma.f64 (fma.f64 y x z) y t) (.f64 (-.f64 (.f64 (fma.f64 y x z) y) t) (pow.f64 (-.f64 (.f64 (fma.f64 y x z) y) t) #s(literal -1 binary64))))
	76.4%	#s(approx (+ (* (+ (* x y) z) y) t) (fma.f64 (*.f64 y y) x t))
	66.4%	#s(approx (+ (* (+ (* x y) z) y) t) (fma.f64 z y t))
▶	59.5%	#s(approx (+ (* (+ (* x y) z) y) t) (*.f64 (fma.f64 x y z) y))
	37.5%	#s(approx (+ (* (+ (* x y) z) y) t) (.f64 (.f64 y y) x))
▶	25.9%	#s(approx (+ (* (+ (* x y) z) y) t) (*.f64 z y))

Compiler

Compiled 270 to 194 computations (28.1% saved)

simplify197.0ms (3.3%)

Memory

3.8MiB live, 120.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (fma.f64 (.f64 x x) (/.f64 (.f64 y y) (-.f64 (.f64 y x) z)) (neg.f64 (.f64 z (/.f64 z (-.f64 (.f64 y x) z))))) y)
cost-diff	128	(neg.f64 (.f64 z (/.f64 z (-.f64 (.f64 y x) z))))
cost-diff	128	(+.f64 (.f64 (fma.f64 (.f64 x x) (/.f64 (.f64 y y) (-.f64 (.f64 y x) z)) (neg.f64 (.f64 z (/.f64 z (-.f64 (.f64 y x) z))))) y) t)
cost-diff	1344	(fma.f64 (.f64 x x) (/.f64 (.f64 y y) (-.f64 (.f64 y x) z)) (neg.f64 (.f64 z (/.f64 z (-.f64 (*.f64 y x) z)))))
cost-diff	0	(fma.f64 x y z)
cost-diff	0	(*.f64 (fma.f64 x y z) y)
cost-diff	0	#s(approx (+ (* (+ (* x y) z) y) t) (*.f64 (fma.f64 x y z) y))
cost-diff	0	(*.f64 z y)
cost-diff	0	#s(approx (* (+ (* x y) z) y) (*.f64 z y))
cost-diff	0	(+.f64 #s(approx (* (+ (* x y) z) y) (*.f64 z y)) t)
cost-diff	0	(*.f64 z y)
cost-diff	0	#s(approx (+ (* (+ (* x y) z) y) t) (*.f64 z y))
cost-diff	0	(fma.f64 y x z)
cost-diff	0	(fma.f64 (fma.f64 y x z) y t)

Rules

4 400×	`lower-fma.f32`
4 392×	`lower-fma.f64`
2 320×	`lower-*.f32`
2 306×	`lower-*.f64`
1 618×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	216
0	47	214
1	79	214
2	134	214
3	309	210
4	646	202
5	1376	200
6	3195	194
7	4324	194
8	4785	194
9	5053	194
10	5146	194
11	5163	192
12	6331	192
13	6690	192
14	6726	192
15	6862	192
16	7540	192
0	8011	191

Stop Event

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

Calls

Call 1

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

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

localize135.0ms (2.2%)

Memory

-29.3MiB live, 145.8MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	1.5973250792087976	(.f64 z (/.f64 z (-.f64 (.f64 y x) z)))
accuracy	1.982341848561265	(/.f64 z (-.f64 (*.f64 y x) z))
accuracy	13.910833871413848	(/.f64 (.f64 y y) (-.f64 (.f64 y x) z))
accuracy	16.030339042544426	(fma.f64 (.f64 x x) (/.f64 (.f64 y y) (-.f64 (.f64 y x) z)) (neg.f64 (.f64 z (/.f64 z (-.f64 (*.f64 y x) z)))))
accuracy	0	(fma.f64 x y z)
accuracy	0.07421875	(*.f64 (fma.f64 x y z) y)
accuracy	25.905312766676165	#s(approx (+ (* (+ (* x y) z) y) t) (*.f64 (fma.f64 x y z) y))
accuracy	0	(+.f64 #s(approx (* (+ (* x y) z) y) (*.f64 z y)) t)
accuracy	0	(*.f64 z y)
accuracy	30.79285742189153	#s(approx (* (+ (* x y) z) y) (*.f64 z y))
accuracy	0	(*.f64 z y)
accuracy	47.40527790440759	#s(approx (+ (* (+ (* x y) z) y) t) (*.f64 z y))
accuracy	0	(fma.f64 y x z)
accuracy	0.03125	(fma.f64 (fma.f64 y x z) y t)

Samples

48.0ms

256×

valid

Compiler

Compiled 211 to 26 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult: 15.0ms (55% of total)

ival-add: 7.0ms (25.7% of total)

ival-div: 3.0ms (11% of total)

ival-sub: 1.0ms (3.7% of total)

ival-neg: 1.0ms (3.7% of total)

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

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

series69.0ms (1.1%)

Memory

12.5MiB live, 123.8MiB allocated

Counts

16 → 624

Calls

Call 1

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

Outputs
#s(alt (* y (+ z (* x y))) (taylor 0 t) (#s(alt (fma.f64 (fma.f64 y x z) y t) (patch (fma.f64 (fma.f64 y x z) y t) #<representation:binary64>) () ())) ())
#s(alt (+ t (* y (+ z (* x y)))) (taylor 0 t) (#s(alt (fma.f64 (fma.f64 y x z) y t) (patch (fma.f64 (fma.f64 y x z) y t) #<representation:binary64>) () ())) ())
#s(alt (+ t (* y (+ z (* x y)))) (taylor 0 t) (#s(alt (fma.f64 (fma.f64 y x z) y t) (patch (fma.f64 (fma.f64 y x z) y t) #<representation:binary64>) () ())) ())
#s(alt (+ t (* y (+ z (* x y)))) (taylor 0 t) (#s(alt (fma.f64 (fma.f64 y x z) y t) (patch (fma.f64 (fma.f64 y x z) y t) #<representation:binary64>) () ())) ())
#s(alt (* y (+ z (* x y))) (taylor 0 t) (#s(alt #s(approx (+ (* (+ (* x y) z) y) t) (.f64 z y)) (patch #s(approx (+ ( (+ (* x y) z) y) t) (*.f64 z y)) #<representation:binary64>) () ())) ())
#s(alt (+ t (* y (+ z (* x y)))) (taylor 0 t) (#s(alt #s(approx (+ (* (+ (* x y) z) y) t) (.f64 z y)) (patch #s(approx (+ ( (+ (* x y) z) y) t) (*.f64 z y)) #<representation:binary64>) () ())) ())
#s(alt (+ t (* y (+ z (* x y)))) (taylor 0 t) (#s(alt #s(approx (+ (* (+ (* x y) z) y) t) (.f64 z y)) (patch #s(approx (+ ( (+ (* x y) z) y) t) (*.f64 z y)) #<representation:binary64>) () ())) ())
#s(alt (+ t (* y (+ z (* x y)))) (taylor 0 t) (#s(alt #s(approx (+ (* (+ (* x y) z) y) t) (.f64 z y)) (patch #s(approx (+ ( (+ (* x y) z) y) t) (*.f64 z y)) #<representation:binary64>) () ())) ())
#s(alt (* y (+ z (* x y))) (taylor 0 t) (#s(alt (+.f64 #s(approx (* (+ (* x y) z) y) (.f64 z y)) t) (patch (+.f64 #s(approx ( (+ (* x y) z) y) (*.f64 z y)) t) #<representation:binary64>) () ())) ())
#s(alt (+ t (* y (+ z (* x y)))) (taylor 0 t) (#s(alt (+.f64 #s(approx (* (+ (* x y) z) y) (.f64 z y)) t) (patch (+.f64 #s(approx ( (+ (* x y) z) y) (*.f64 z y)) t) #<representation:binary64>) () ())) ())
#s(alt (+ t (* y (+ z (* x y)))) (taylor 0 t) (#s(alt (+.f64 #s(approx (* (+ (* x y) z) y) (.f64 z y)) t) (patch (+.f64 #s(approx ( (+ (* x y) z) y) (*.f64 z y)) t) #<representation:binary64>) () ())) ())
#s(alt (+ t (* y (+ z (* x y)))) (taylor 0 t) (#s(alt (+.f64 #s(approx (* (+ (* x y) z) y) (.f64 z y)) t) (patch (+.f64 #s(approx ( (+ (* x y) z) y) (*.f64 z y)) t) #<representation:binary64>) () ())) ())
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#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow z 2) (* x y))) (/ (pow z 2) (* x y))) (* -1 z)) x))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) (/.f64 (.f64 y y) (-.f64 (.f64 y x) z)) (neg.f64 (.f64 z (/.f64 z (-.f64 (.f64 y x) z))))) (patch (fma.f64 (.f64 x x) (/.f64 (.f64 y y) (-.f64 (.f64 y x) z)) (neg.f64 (.f64 z (/.f64 z (-.f64 (.f64 y x) z))))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow z 2) (* x y))) (/ (pow z 2) (* x y))) (* -1 z)) x))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) (/.f64 (.f64 y y) (-.f64 (.f64 y x) z)) (neg.f64 (.f64 z (/.f64 z (-.f64 (.f64 y x) z))))) (patch (fma.f64 (.f64 x x) (/.f64 (.f64 y y) (-.f64 (.f64 y x) z)) (neg.f64 (.f64 z (/.f64 z (-.f64 (.f64 y x) z))))) #<representation:binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (+.f64 (.f64 (fma.f64 (.f64 x x) (/.f64 (.f64 y y) (-.f64 (.f64 y x) z)) (neg.f64 (.f64 z (/.f64 z (-.f64 (.f64 y x) z))))) y) t) (patch (+.f64 (.f64 (fma.f64 (.f64 x x) (/.f64 (.f64 y y) (-.f64 (.f64 y x) z)) (neg.f64 (.f64 z (/.f64 z (-.f64 (.f64 y x) z))))) y) t) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (+ t (* y z)) x)) (* -1 (pow y 2))))) (taylor -inf x) (#s(alt (+.f64 (.f64 (fma.f64 (.f64 x x) (/.f64 (.f64 y y) (-.f64 (.f64 y x) z)) (neg.f64 (.f64 z (/.f64 z (-.f64 (.f64 y x) z))))) y) t) (patch (+.f64 (.f64 (fma.f64 (.f64 x x) (/.f64 (.f64 y y) (-.f64 (.f64 y x) z)) (neg.f64 (.f64 z (/.f64 z (-.f64 (.f64 y x) z))))) y) t) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (+ t (+ (* y z) (/ (* y (+ (* -1 (/ (pow z 2) y)) (/ (pow z 2) y))) x))) x)) (* -1 (pow y 2))))) (taylor -inf x) (#s(alt (+.f64 (.f64 (fma.f64 (.f64 x x) (/.f64 (.f64 y y) (-.f64 (.f64 y x) z)) (neg.f64 (.f64 z (/.f64 z (-.f64 (.f64 y x) z))))) y) t) (patch (+.f64 (.f64 (fma.f64 (.f64 x x) (/.f64 (.f64 y y) (-.f64 (.f64 y x) z)) (neg.f64 (.f64 z (/.f64 z (-.f64 (.f64 y x) z))))) y) t) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (+ t (+ (* y z) (/ (* y (+ (* -1 (/ (pow z 2) y)) (/ (pow z 2) y))) x))) x)) (* -1 (pow y 2))))) (taylor -inf x) (#s(alt (+.f64 (.f64 (fma.f64 (.f64 x x) (/.f64 (.f64 y y) (-.f64 (.f64 y x) z)) (neg.f64 (.f64 z (/.f64 z (-.f64 (.f64 y x) z))))) y) t) (patch (+.f64 (.f64 (fma.f64 (.f64 x x) (/.f64 (.f64 y y) (-.f64 (.f64 y x) z)) (neg.f64 (.f64 z (/.f64 z (-.f64 (.f64 y x) z))))) y) t) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (pow z 2) (* x y))) (taylor -inf x) (#s(alt (neg.f64 (.f64 z (/.f64 z (-.f64 (.f64 y x) z)))) (patch (neg.f64 (.f64 z (/.f64 z (-.f64 (.f64 y x) z)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (- (/ (pow z 3) (* x (pow y 2))) (* -1 (/ (pow z 2) y))) x)) (taylor -inf x) (#s(alt (neg.f64 (.f64 z (/.f64 z (-.f64 (.f64 y x) z)))) (patch (neg.f64 (.f64 z (/.f64 z (-.f64 (.f64 y x) z)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (pow z 3) (pow y 2))) (* -1 (/ (pow z 4) (* x (pow y 3))))) x)) (* -1 (/ (pow z 2) y))) x)) (taylor -inf x) (#s(alt (neg.f64 (.f64 z (/.f64 z (-.f64 (.f64 y x) z)))) (patch (neg.f64 (.f64 z (/.f64 z (-.f64 (.f64 y x) z)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (/ (pow z 4) (pow y 3)) (/ (pow z 5) (* x (pow y 4)))) x)) (* -1 (/ (pow z 3) (pow y 2)))) x)) (* -1 (/ (pow z 2) y))) x)) (taylor -inf x) (#s(alt (neg.f64 (.f64 z (/.f64 z (-.f64 (.f64 y x) z)))) (patch (neg.f64 (.f64 z (/.f64 z (-.f64 (.f64 y x) z)))) #<representation:binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) (/.f64 (.f64 y y) (-.f64 (.f64 y x) z)) (neg.f64 (.f64 z (/.f64 z (-.f64 (.f64 y x) z))))) y) (patch (.f64 (fma.f64 (.f64 x x) (/.f64 (.f64 y y) (-.f64 (.f64 y x) z)) (neg.f64 (.f64 z (/.f64 z (-.f64 (.f64 y x) z))))) y) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (* y z) x)) (* -1 (pow y 2))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) (/.f64 (.f64 y y) (-.f64 (.f64 y x) z)) (neg.f64 (.f64 z (/.f64 z (-.f64 (.f64 y x) z))))) y) (patch (.f64 (fma.f64 (.f64 x x) (/.f64 (.f64 y y) (-.f64 (.f64 y x) z)) (neg.f64 (.f64 z (/.f64 z (-.f64 (.f64 y x) z))))) y) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (+ (* y z) (/ (* y (+ (* -1 (/ (pow z 2) y)) (/ (pow z 2) y))) x)) x)) (* -1 (pow y 2))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) (/.f64 (.f64 y y) (-.f64 (.f64 y x) z)) (neg.f64 (.f64 z (/.f64 z (-.f64 (.f64 y x) z))))) y) (patch (.f64 (fma.f64 (.f64 x x) (/.f64 (.f64 y y) (-.f64 (.f64 y x) z)) (neg.f64 (.f64 z (/.f64 z (-.f64 (.f64 y x) z))))) y) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (+ (* y z) (/ (* y (+ (* -1 (/ (pow z 2) y)) (/ (pow z 2) y))) x)) x)) (* -1 (pow y 2))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) (/.f64 (.f64 y y) (-.f64 (.f64 y x) z)) (neg.f64 (.f64 z (/.f64 z (-.f64 (.f64 y x) z))))) y) (patch (.f64 (fma.f64 (.f64 x x) (/.f64 (.f64 y y) (-.f64 (.f64 y x) z)) (neg.f64 (.f64 z (/.f64 z (-.f64 (.f64 y x) z))))) y) #<representation:binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 (.f64 y y) (-.f64 (.f64 y x) z)) (patch (/.f64 (.f64 y y) (-.f64 (.f64 y x) z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 y) (* -1 (/ z x))) x)) (taylor -inf x) (#s(alt (/.f64 (.f64 y y) (-.f64 (.f64 y x) z)) (patch (/.f64 (.f64 y y) (-.f64 (.f64 y x) z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow z 2) (* x y)) (* -1 z)) x))) x)) (taylor -inf x) (#s(alt (/.f64 (.f64 y y) (-.f64 (.f64 y x) z)) (patch (/.f64 (.f64 y y) (-.f64 (.f64 y x) z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) (* x (pow y 2)))) (/ (pow z 2) y)) x)) (* -1 z)) x))) x)) (taylor -inf x) (#s(alt (/.f64 (.f64 y y) (-.f64 (.f64 y x) z)) (patch (/.f64 (.f64 y y) (-.f64 (.f64 y x) z)) #<representation:binary64>) () ())) ())
#s(alt (/ z (* x y)) (taylor -inf x) (#s(alt (/.f64 z (-.f64 (.f64 y x) z)) (patch (/.f64 z (-.f64 (.f64 y x) z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ z y)) (* -1 (/ (pow z 2) (* x (pow y 2))))) x)) (taylor -inf x) (#s(alt (/.f64 z (-.f64 (.f64 y x) z)) (patch (/.f64 z (-.f64 (.f64 y x) z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ z y)) (* -1 (/ (- (/ (pow z 3) (* x (pow y 3))) (* -1 (/ (pow z 2) (pow y 2)))) x))) x)) (taylor -inf x) (#s(alt (/.f64 z (-.f64 (.f64 y x) z)) (patch (/.f64 z (-.f64 (.f64 y x) z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ z y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 4) (* x (pow y 4)))) (/ (pow z 3) (pow y 3))) x)) (* -1 (/ (pow z 2) (pow y 2)))) x))) x)) (taylor -inf x) (#s(alt (/.f64 z (-.f64 (.f64 y x) z)) (patch (/.f64 z (-.f64 (.f64 y x) z)) #<representation:binary64>) () ())) ())
#s(alt (/ (pow z 2) (* x y)) (taylor -inf x) (#s(alt (.f64 z (/.f64 z (-.f64 (.f64 y x) z))) (patch (.f64 z (/.f64 z (-.f64 (.f64 y x) z))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (pow z 2) y)) (* -1 (/ (pow z 3) (* x (pow y 2))))) x)) (taylor -inf x) (#s(alt (.f64 z (/.f64 z (-.f64 (.f64 y x) z))) (patch (.f64 z (/.f64 z (-.f64 (.f64 y x) z))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (/ (pow z 4) (* x (pow y 3))) (* -1 (/ (pow z 3) (pow y 2)))) x)) (* -1 (/ (pow z 2) y))) x)) (taylor -inf x) (#s(alt (.f64 z (/.f64 z (-.f64 (.f64 y x) z))) (patch (.f64 z (/.f64 z (-.f64 (.f64 y x) z))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 5) (* x (pow y 4)))) (/ (pow z 4) (pow y 3))) x)) (* -1 (/ (pow z 3) (pow y 2)))) x)) (* -1 (/ (pow z 2) y))) x)) (taylor -inf x) (#s(alt (.f64 z (/.f64 z (-.f64 (.f64 y x) z))) (patch (.f64 z (/.f64 z (-.f64 (.f64 y x) z))) #<representation:binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
10.0ms	x	@	inf	((+ (* (+ (* y x) z) y) t) (+ (* y x) z) (+ (* (+ (* x y) z) y) t) (* z y) (+ (* (+ (* x y) z) y) t) (* (+ (* x y) z) y) (+ (* (+ (* x y) z) y) t) (* (+ (* x y) z) y) (+ (* x y) z) (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) (+ (* (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) t) (neg (* z (/ z (- (* y x) z)))) (* (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) (/ (* y y) (- (* y x) z)) (/ z (- (* y x) z)) (* z (/ z (- (* y x) z))))
9.0ms	y	@	inf	((+ (* (+ (* y x) z) y) t) (+ (* y x) z) (+ (* (+ (* x y) z) y) t) (* z y) (+ (* (+ (* x y) z) y) t) (* (+ (* x y) z) y) (+ (* (+ (* x y) z) y) t) (* (+ (* x y) z) y) (+ (* x y) z) (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) (+ (* (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) t) (neg (* z (/ z (- (* y x) z)))) (* (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) (/ (* y y) (- (* y x) z)) (/ z (- (* y x) z)) (* z (/ z (- (* y x) z))))
4.0ms	z	@	0	((+ (* (+ (* y x) z) y) t) (+ (* y x) z) (+ (* (+ (* x y) z) y) t) (* z y) (+ (* (+ (* x y) z) y) t) (* (+ (* x y) z) y) (+ (* (+ (* x y) z) y) t) (* (+ (* x y) z) y) (+ (* x y) z) (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) (+ (* (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) t) (neg (* z (/ z (- (* y x) z)))) (* (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) (/ (* y y) (- (* y x) z)) (/ z (- (* y x) z)) (* z (/ z (- (* y x) z))))
3.0ms	y	@	-inf	((+ (* (+ (* y x) z) y) t) (+ (* y x) z) (+ (* (+ (* x y) z) y) t) (* z y) (+ (* (+ (* x y) z) y) t) (* (+ (* x y) z) y) (+ (* (+ (* x y) z) y) t) (* (+ (* x y) z) y) (+ (* x y) z) (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) (+ (* (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) t) (neg (* z (/ z (- (* y x) z)))) (* (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) (/ (* y y) (- (* y x) z)) (/ z (- (* y x) z)) (* z (/ z (- (* y x) z))))
3.0ms	z	@	-inf	((+ (* (+ (* y x) z) y) t) (+ (* y x) z) (+ (* (+ (* x y) z) y) t) (* z y) (+ (* (+ (* x y) z) y) t) (* (+ (* x y) z) y) (+ (* (+ (* x y) z) y) t) (* (+ (* x y) z) y) (+ (* x y) z) (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) (+ (* (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) t) (neg (* z (/ z (- (* y x) z)))) (* (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) (/ (* y y) (- (* y x) z)) (/ z (- (* y x) z)) (* z (/ z (- (* y x) z))))

simplify212.0ms (3.5%)

Memory

37.3MiB live, 308.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8 254×	`lower-fma.f64`
8 254×	`lower-fma.f32`
5 116×	`lower-*.f64`
5 116×	`lower-*.f32`
3 218×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	788	7551
1	2679	7022
0	8586	6522

Stop Event

1×	iter limit
1×	node limit

Counts

624 → 593

Calls

Call 1

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

rewrite287.0ms (4.8%)

Memory

-48.3MiB live, 329.5MiB allocated

Rules

6 890×	`lower-fma.f32`
6 882×	`lower-fma.f64`
4 002×	`lower-*.f32`
3 990×	`lower-*.f64`
3 556×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	183
0	47	123
1	180	123
2	1166	122
0	8365	122

Stop Event

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

Counts

16 → 1 057

Calls

Call 1

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

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

eval215.0ms (3.6%)

Memory: 38.2MiB live, 409.9MiB allocated
Compiler: Compiled 49 418 to 3 768 computations (92.4% saved)

prune55.0ms (0.9%)

Memory

8.2MiB live, 138.0MiB allocated

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	1 668	8	1 676
Fresh	6	0	6
Picked	2	3	5
Done	0	0	0
Total	1 676	11	1 687

Accuracy

100.0%

Counts

1 687 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	78.3%	(fma.f64 #s(approx (+ (* y x) z) (*.f64 x y)) y t)
▶	63.8%	(+.f64 (.f64 (fma.f64 (.f64 x x) (/.f64 (.f64 y y) (-.f64 (.f64 y x) z)) (neg.f64 #s(approx (* z (/ z (- (* y x) z))) (neg.f64 z)))) y) t)
✓	66.4%	(+.f64 #s(approx (* (+ (* x y) z) y) (*.f64 z y)) t)
▶	66.4%	#s(approx (+ (* (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) t) (fma.f64 z y t))
▶	37.5%	#s(approx (+ (* (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) t) (.f64 (.f64 y y) x))
	84.1%	#s(approx (+ (* (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) t) (.f64 z (+.f64 (/.f64 (fma.f64 (.f64 y y) x t) z) y)))
▶	87.3%	#s(approx (+ (* (+ (* y x) z) y) t) (*.f64 (neg.f64 t) (fma.f64 (neg.f64 y) (/.f64 (fma.f64 x y z) t) #s(literal -1 binary64))))
✓	59.5%	#s(approx (+ (* (+ (* x y) z) y) t) (*.f64 (fma.f64 x y z) y))
	38.6%	#s(approx (+ (* (+ (* x y) z) y) t) (.f64 #s(approx (+ ( x y) z) (*.f64 x y)) y))
✓	25.9%	#s(approx (+ (* (+ (* x y) z) y) t) (*.f64 z y))
▶	52.7%	#s(approx (+ (* (+ (* x y) z) y) t) #s(approx (* (+ (* x y) z) y) (.f64 (fma.f64 (/.f64 (.f64 y y) z) x y) z)))

Compiler

Compiled 187 to 170 computations (9.1% saved)

simplify144.0ms (2.4%)

Memory

-6.6MiB live, 108.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (.f64 y y) (-.f64 (.f64 y x) z))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (.f64 x x) (/.f64 (.f64 y y) (-.f64 (.f64 y x) z)) (neg.f64 #s(approx ( z (/ z (- (* y x) z))) (neg.f64 z))))
cost-diff	0	(.f64 (fma.f64 (.f64 x x) (/.f64 (.f64 y y) (-.f64 (.f64 y x) z)) (neg.f64 #s(approx (* z (/ z (- (* y x) z))) (neg.f64 z)))) y)
cost-diff	0	(fma.f64 (/.f64 (*.f64 y y) z) x y)
cost-diff	0	#s(approx (* (+ (* x y) z) y) (.f64 (fma.f64 (/.f64 (.f64 y y) z) x y) z))
cost-diff	0	#s(approx (+ (* (+ (* x y) z) y) t) #s(approx (* (+ (* x y) z) y) (.f64 (fma.f64 (/.f64 (.f64 y y) z) x y) z)))
cost-diff	1024	(.f64 (fma.f64 (/.f64 (.f64 y y) z) x y) z)
cost-diff	0	(*.f64 y y)
cost-diff	0	(.f64 (.f64 y y) x)
cost-diff	0	#s(approx (+ (* (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) t) (.f64 (.f64 y y) x))
cost-diff	0	(fma.f64 z y t)
cost-diff	0	#s(approx (+ (* (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) t) (fma.f64 z y t))
cost-diff	0	(fma.f64 (neg.f64 y) (/.f64 (fma.f64 x y z) t) #s(literal -1 binary64))
cost-diff	0	(neg.f64 t)
cost-diff	0	#s(approx (+ (* (+ (* y x) z) y) t) (*.f64 (neg.f64 t) (fma.f64 (neg.f64 y) (/.f64 (fma.f64 x y z) t) #s(literal -1 binary64))))
cost-diff	1280	(*.f64 (neg.f64 t) (fma.f64 (neg.f64 y) (/.f64 (fma.f64 x y z) t) #s(literal -1 binary64)))

Rules

5 276×	`lower-fma.f32`
5 266×	`lower-fma.f64`
2 678×	`lower-*.f32`
2 664×	`lower-*.f64`
1 408×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	359
0	77	356
1	142	356
2	293	354
3	803	354
4	2382	324
5	5548	322
0	8051	315

Stop Event

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

Calls

Call 1

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

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

localize135.0ms (2.2%)

Memory

-8.8MiB live, 182.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.07421875	(.f64 (fma.f64 (.f64 x x) (/.f64 (.f64 y y) (-.f64 (.f64 y x) z)) (neg.f64 #s(approx (* z (/ z (- (* y x) z))) (neg.f64 z)))) y)
accuracy	13.910833871413848	(/.f64 (.f64 y y) (-.f64 (.f64 y x) z))
accuracy	16.030339042544426	(fma.f64 (.f64 x x) (/.f64 (.f64 y y) (-.f64 (.f64 y x) z)) (neg.f64 #s(approx ( z (/ z (- (* y x) z))) (neg.f64 z))))
accuracy	32.82636365707395	#s(approx (* z (/ z (- (* y x) z))) (neg.f64 z))
accuracy	2.632090765134658	(.f64 (fma.f64 (/.f64 (.f64 y y) z) x y) z)
accuracy	4.679398038769506	(/.f64 (*.f64 y y) z)
accuracy	4.715906678529414	(fma.f64 (/.f64 (*.f64 y y) z) x y)
accuracy	25.905312766676165	#s(approx (+ (* (+ (* x y) z) y) t) #s(approx (* (+ (* x y) z) y) (.f64 (fma.f64 (/.f64 (.f64 y y) z) x y) z)))
accuracy	0	(*.f64 y y)
accuracy	5.982558947097921	(.f64 (.f64 y y) x)
accuracy	39.246551279351095	#s(approx (+ (* (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) t) (.f64 (.f64 y y) x))
accuracy	0	(fma.f64 z y t)
accuracy	21.517055700909644	#s(approx (+ (* (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) t) (fma.f64 z y t))
accuracy	0	#s(approx (+ (* (+ (* y x) z) y) t) (*.f64 (neg.f64 t) (fma.f64 (neg.f64 y) (/.f64 (fma.f64 x y z) t) #s(literal -1 binary64))))
accuracy	2.4019484239338493	(/.f64 (fma.f64 x y z) t)
accuracy	3.47163230187519	(fma.f64 (neg.f64 y) (/.f64 (fma.f64 x y z) t) #s(literal -1 binary64))
accuracy	4.509407096913108	(*.f64 (neg.f64 t) (fma.f64 (neg.f64 y) (/.f64 (fma.f64 x y z) t) #s(literal -1 binary64)))

Samples

103.0ms

256×

valid

Compiler

Compiled 306 to 40 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

ival-add: 42.0ms (49.8% of total)

ival-mult: 29.0ms (34.4% of total)

ival-div: 7.0ms (8.3% of total)

ival-neg: 4.0ms (4.7% of total)

ival-sub: 1.0ms (1.2% of total)

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

exact: 0.0ms (0% of total)

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

series68.0ms (1.1%)

Memory

33.6MiB live, 151.4MiB allocated

Counts

20 → 708

Calls

Call 1

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

Outputs
#s(alt (* y (+ z (* x y))) (taylor 0 t) (#s(alt (.f64 (neg.f64 t) (fma.f64 (neg.f64 y) (/.f64 (fma.f64 x y z) t) #s(literal -1 binary64))) (patch (.f64 (neg.f64 t) (fma.f64 (neg.f64 y) (/.f64 (fma.f64 x y z) t) #s(literal -1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ t (* y (+ z (* x y)))) (taylor 0 t) (#s(alt (.f64 (neg.f64 t) (fma.f64 (neg.f64 y) (/.f64 (fma.f64 x y z) t) #s(literal -1 binary64))) (patch (.f64 (neg.f64 t) (fma.f64 (neg.f64 y) (/.f64 (fma.f64 x y z) t) #s(literal -1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ t (* y (+ z (* x y)))) (taylor 0 t) (#s(alt (.f64 (neg.f64 t) (fma.f64 (neg.f64 y) (/.f64 (fma.f64 x y z) t) #s(literal -1 binary64))) (patch (.f64 (neg.f64 t) (fma.f64 (neg.f64 y) (/.f64 (fma.f64 x y z) t) #s(literal -1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ t (* y (+ z (* x y)))) (taylor 0 t) (#s(alt (.f64 (neg.f64 t) (fma.f64 (neg.f64 y) (/.f64 (fma.f64 x y z) t) #s(literal -1 binary64))) (patch (.f64 (neg.f64 t) (fma.f64 (neg.f64 y) (/.f64 (fma.f64 x y z) t) #s(literal -1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* y (+ z (* x y))) (taylor 0 t) (#s(alt #s(approx (+ (* (+ (* y x) z) y) t) (.f64 (neg.f64 t) (fma.f64 (neg.f64 y) (/.f64 (fma.f64 x y z) t) #s(literal -1 binary64)))) (patch #s(approx (+ ( (+ (* y x) z) y) t) (*.f64 (neg.f64 t) (fma.f64 (neg.f64 y) (/.f64 (fma.f64 x y z) t) #s(literal -1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (+ t (* y (+ z (* x y)))) (taylor 0 t) (#s(alt #s(approx (+ (* (+ (* y x) z) y) t) (.f64 (neg.f64 t) (fma.f64 (neg.f64 y) (/.f64 (fma.f64 x y z) t) #s(literal -1 binary64)))) (patch #s(approx (+ ( (+ (* y x) z) y) t) (*.f64 (neg.f64 t) (fma.f64 (neg.f64 y) (/.f64 (fma.f64 x y z) t) #s(literal -1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (+ t (* y (+ z (* x y)))) (taylor 0 t) (#s(alt #s(approx (+ (* (+ (* y x) z) y) t) (.f64 (neg.f64 t) (fma.f64 (neg.f64 y) (/.f64 (fma.f64 x y z) t) #s(literal -1 binary64)))) (patch #s(approx (+ ( (+ (* y x) z) y) t) (*.f64 (neg.f64 t) (fma.f64 (neg.f64 y) (/.f64 (fma.f64 x y z) t) #s(literal -1 binary64)))) #<representation:binary64>) () ())) ())
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#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) t) (fma.f64 z y t)) (patch #s(approx (+ (* (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) t) (fma.f64 z y t)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (+ t (* y z)) x)) (* -1 (pow y 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) t) (fma.f64 z y t)) (patch #s(approx (+ (* (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) t) (fma.f64 z y t)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (+ t (+ (* y z) (/ (* y (+ (* -1 (/ (pow z 2) y)) (/ (pow z 2) y))) x))) x)) (* -1 (pow y 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) t) (fma.f64 z y t)) (patch #s(approx (+ (* (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) t) (fma.f64 z y t)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (+ t (+ (* y z) (/ (* y (+ (* -1 (/ (pow z 2) y)) (/ (pow z 2) y))) x))) x)) (* -1 (pow y 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) t) (fma.f64 z y t)) (patch #s(approx (+ (* (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) t) (fma.f64 z y t)) #<representation:binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) t) (.f64 (.f64 y y) x)) (patch #s(approx (+ (* (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) t) (.f64 (.f64 y y) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (+ t (* y z)) x)) (* -1 (pow y 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) t) (.f64 (.f64 y y) x)) (patch #s(approx (+ (* (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) t) (.f64 (.f64 y y) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (+ t (+ (* y z) (/ (* y (+ (* -1 (/ (pow z 2) y)) (/ (pow z 2) y))) x))) x)) (* -1 (pow y 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) t) (.f64 (.f64 y y) x)) (patch #s(approx (+ (* (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) t) (.f64 (.f64 y y) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (+ t (+ (* y z) (/ (* y (+ (* -1 (/ (pow z 2) y)) (/ (pow z 2) y))) x))) x)) (* -1 (pow y 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) t) (.f64 (.f64 y y) x)) (patch #s(approx (+ (* (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) t) (.f64 (.f64 y y) x)) #<representation:binary64>) () ())) ())
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#s(alt (* -1 (* x (+ (* -1 (/ (* y z) x)) (* -1 (pow y 2))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (/.f64 (.f64 y y) z) x y) z) (patch (.f64 (fma.f64 (/.f64 (.f64 y y) z) x y) z) #<representation:binary64>) () ())) ())
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#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* x y) z) y) t) #s(approx (* (+ (* x y) z) y) (.f64 (fma.f64 (/.f64 (.f64 y y) z) x y) z))) (patch #s(approx (+ (* (+ (* x y) z) y) t) #s(approx (* (+ (* x y) z) y) (.f64 (fma.f64 (/.f64 (.f64 y y) z) x y) z))) #<representation:binary64>) () ())) ())
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#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation:binary64>) () ())) ())
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#s(alt (* -1 (* x (+ (* -1 (/ y t)) (* -1 (/ z (* t x)))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x y z) t) (patch (/.f64 (fma.f64 x y z) t) #<representation:binary64>) () ())) ())
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#s(alt (* -1 (/ (+ (* -1 (/ (pow z 2) y)) (* -1 (/ (pow z 3) (* x (pow y 2))))) x)) (taylor -inf x) (#s(alt #s(approx (* z (/ z (- (* y x) z))) (neg.f64 z)) (patch #s(approx (* z (/ z (- (* y x) z))) (neg.f64 z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (/ (pow z 4) (* x (pow y 3))) (* -1 (/ (pow z 3) (pow y 2)))) x)) (* -1 (/ (pow z 2) y))) x)) (taylor -inf x) (#s(alt #s(approx (* z (/ z (- (* y x) z))) (neg.f64 z)) (patch #s(approx (* z (/ z (- (* y x) z))) (neg.f64 z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 5) (* x (pow y 4)))) (/ (pow z 4) (pow y 3))) x)) (* -1 (/ (pow z 3) (pow y 2)))) x)) (* -1 (/ (pow z 2) y))) x)) (taylor -inf x) (#s(alt #s(approx (* z (/ z (- (* y x) z))) (neg.f64 z)) (patch #s(approx (* z (/ z (- (* y x) z))) (neg.f64 z)) #<representation:binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
8.0ms	z	@	inf	((* (neg t) (+ (* (neg y) (/ (+ (* x y) z) t)) -1)) (+ (* (+ (* y x) z) y) t) (neg t) (+ (* (neg y) (/ (+ (* x y) z) t)) -1) (+ (* (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) t) (+ (* z y) t) (+ (* (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) t) (* (* y y) x) (* y y) (* (+ (* (/ (* y y) z) x) y) z) (+ (* (+ (* x y) z) y) t) (* (+ (* x y) z) y) (+ (* (/ (* y y) z) x) y) (* (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) (* x x) (/ (* y y) (- (* y x) z)) (/ (+ (* x y) z) t) (/ (* y y) z) (* z (/ z (- (* y x) z))))
4.0ms	z	@	-inf	((* (neg t) (+ (* (neg y) (/ (+ (* x y) z) t)) -1)) (+ (* (+ (* y x) z) y) t) (neg t) (+ (* (neg y) (/ (+ (* x y) z) t)) -1) (+ (* (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) t) (+ (* z y) t) (+ (* (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) t) (* (* y y) x) (* y y) (* (+ (* (/ (* y y) z) x) y) z) (+ (* (+ (* x y) z) y) t) (* (+ (* x y) z) y) (+ (* (/ (* y y) z) x) y) (* (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) (* x x) (/ (* y y) (- (* y x) z)) (/ (+ (* x y) z) t) (/ (* y y) z) (* z (/ z (- (* y x) z))))
4.0ms	y	@	-inf	((* (neg t) (+ (* (neg y) (/ (+ (* x y) z) t)) -1)) (+ (* (+ (* y x) z) y) t) (neg t) (+ (* (neg y) (/ (+ (* x y) z) t)) -1) (+ (* (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) t) (+ (* z y) t) (+ (* (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) t) (* (* y y) x) (* y y) (* (+ (* (/ (* y y) z) x) y) z) (+ (* (+ (* x y) z) y) t) (* (+ (* x y) z) y) (+ (* (/ (* y y) z) x) y) (* (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) (* x x) (/ (* y y) (- (* y x) z)) (/ (+ (* x y) z) t) (/ (* y y) z) (* z (/ z (- (* y x) z))))
3.0ms	x	@	-inf	((* (neg t) (+ (* (neg y) (/ (+ (* x y) z) t)) -1)) (+ (* (+ (* y x) z) y) t) (neg t) (+ (* (neg y) (/ (+ (* x y) z) t)) -1) (+ (* (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) t) (+ (* z y) t) (+ (* (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) t) (* (* y y) x) (* y y) (* (+ (* (/ (* y y) z) x) y) z) (+ (* (+ (* x y) z) y) t) (* (+ (* x y) z) y) (+ (* (/ (* y y) z) x) y) (* (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) (* x x) (/ (* y y) (- (* y x) z)) (/ (+ (* x y) z) t) (/ (* y y) z) (* z (/ z (- (* y x) z))))
3.0ms	z	@	0	((* (neg t) (+ (* (neg y) (/ (+ (* x y) z) t)) -1)) (+ (* (+ (* y x) z) y) t) (neg t) (+ (* (neg y) (/ (+ (* x y) z) t)) -1) (+ (* (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) t) (+ (* z y) t) (+ (* (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) t) (* (* y y) x) (* y y) (* (+ (* (/ (* y y) z) x) y) z) (+ (* (+ (* x y) z) y) t) (* (+ (* x y) z) y) (+ (* (/ (* y y) z) x) y) (* (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) (* x x) (/ (* y y) (- (* y x) z)) (/ (+ (* x y) z) t) (/ (* y y) z) (* z (/ z (- (* y x) z))))

simplify229.0ms (3.8%)

Memory

7.2MiB live, 244.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 052×	`lower-fma.f64`
7 052×	`lower-fma.f32`
5 404×	`lower-*.f64`
5 404×	`lower-*.f32`
2 688×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	695	8057
1	2394	7460
0	8010	6954

Stop Event

1×	iter limit
1×	node limit

Counts

708 → 681

Calls

Call 1

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

rewrite315.0ms (5.2%)

Memory

-28.3MiB live, 364.2MiB allocated

Rules

6 798×	`lower-fma.f32`
6 788×	`lower-fma.f64`
5 034×	`lower-/.f32`
5 028×	`lower-/.f64`
4 800×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	277
0	75	274
1	285	232
2	1971	232
0	8976	228

Stop Event

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

Counts

20 → 455

Calls

Call 1

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

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

eval266.0ms (4.4%)

Memory: 18.7MiB live, 443.5MiB allocated
Compiler: Compiled 24 671 to 3 146 computations (87.2% saved)

prune54.0ms (0.9%)

Memory

-0.8MiB live, 197.9MiB allocated

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	1 171	5	1 176
Fresh	2	1	3
Picked	2	3	5
Done	1	2	3
Total	1 176	11	1 187

Accuracy

100.0%

Counts

1 187 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.3%	(fma.f64 #s(approx (+ (* y x) z) (*.f64 x y)) y t)
	77.4%	(+.f64 (.f64 (fma.f64 (.f64 x x) #s(approx (/ (* y y) (- (* y x) z)) (/.f64 y x)) (neg.f64 #s(approx (* z (/ z (- (* y x) z))) (neg.f64 z)))) y) t)
✓	66.4%	#s(approx (+ (* (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) t) (fma.f64 z y t))
✓	37.5%	#s(approx (+ (* (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) t) (.f64 (.f64 y y) x))
▶	38.6%	#s(approx (+ (* (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) t) (.f64 (.f64 x y) y))
▶	87.3%	#s(approx (+ (* (+ (* y x) z) y) t) (*.f64 (fma.f64 (/.f64 (fma.f64 x y z) t) y #s(literal 1 binary64)) t))
▶	42.2%	#s(approx (+ (* (+ (* y x) z) y) t) (.f64 (neg.f64 t) #s(approx (+ ( (neg y) (/ (+ (* x y) z) t)) -1) #s(literal -1 binary64))))
✓	59.5%	#s(approx (+ (* (+ (* x y) z) y) t) (*.f64 (fma.f64 x y z) y))
✓	25.9%	#s(approx (+ (* (+ (* x y) z) y) t) (*.f64 z y))
✓	52.7%	#s(approx (+ (* (+ (* x y) z) y) t) #s(approx (* (+ (* x y) z) y) (.f64 (fma.f64 (/.f64 (.f64 y y) z) x y) z)))
▶	34.3%	#s(approx (+ (* (+ (* x y) z) y) t) #s(approx (* (+ (* x y) z) y) (.f64 #s(approx (+ ( (/ (* y y) z) x) y) (/.f64 (.f64 (.f64 y y) x) z)) z)))

Compiler

Compiled 152 to 150 computations (1.3% saved)

simplify181.0ms (3%)

Memory

-26.1MiB live, 170.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* (/ (* y y) z) x) y) (/.f64 (.f64 (.f64 y y) x) z))
cost-diff	0	(.f64 #s(approx (+ ( (/ (* y y) z) x) y) (/.f64 (.f64 (.f64 y y) x) z)) z)
cost-diff	0	#s(approx (* (+ (* x y) z) y) (.f64 #s(approx (+ ( (/ (* y y) z) x) y) (/.f64 (.f64 (.f64 y y) x) z)) z))
cost-diff	0	#s(approx (+ (* (+ (* x y) z) y) t) #s(approx (* (+ (* x y) z) y) (.f64 #s(approx (+ ( (/ (* y y) z) x) y) (/.f64 (.f64 (.f64 y y) x) z)) z)))
cost-diff	0	(*.f64 x y)
cost-diff	0	#s(approx (+ (* y x) z) (*.f64 x y))
cost-diff	0	(fma.f64 #s(approx (+ (* y x) z) (*.f64 x y)) y t)
cost-diff	0	(*.f64 x y)
cost-diff	0	(.f64 (.f64 x y) y)
cost-diff	0	#s(approx (+ (* (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) t) (.f64 (.f64 x y) y))
cost-diff	0	#s(approx (+ (* (neg y) (/ (+ (* x y) z) t)) -1) #s(literal -1 binary64))
cost-diff	0	(neg.f64 t)
cost-diff	0	(.f64 (neg.f64 t) #s(approx (+ ( (neg y) (/ (+ (* x y) z) t)) -1) #s(literal -1 binary64)))
cost-diff	0	#s(approx (+ (* (+ (* y x) z) y) t) (.f64 (neg.f64 t) #s(approx (+ ( (neg y) (/ (+ (* x y) z) t)) -1) #s(literal -1 binary64))))
cost-diff	0	(/.f64 (fma.f64 x y z) t)
cost-diff	0	(fma.f64 (/.f64 (fma.f64 x y z) t) y #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (* (+ (* y x) z) y) t) (*.f64 (fma.f64 (/.f64 (fma.f64 x y z) t) y #s(literal 1 binary64)) t))
cost-diff	1024	(*.f64 (fma.f64 (/.f64 (fma.f64 x y z) t) y #s(literal 1 binary64)) t)

Rules

5 338×	`lower-fma.f32`
5 332×	`lower-fma.f64`
3 798×	`lower-*.f32`
3 784×	`lower-*.f64`
1 922×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	301
0	69	296
1	133	293
2	239	293
3	545	293
4	1142	282
5	2464	281
6	4793	280
7	6868	280
0	8020	270

Stop Event

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

Calls

Call 1

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

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

localize105.0ms (1.7%)

Memory

24.2MiB live, 178.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	5.982558947097921	(.f64 (.f64 y y) x)
accuracy	6.549792710089864	(/.f64 (.f64 (.f64 y y) x) z)
accuracy	25.905312766676165	#s(approx (+ (* (+ (* x y) z) y) t) #s(approx (* (+ (* x y) z) y) (.f64 #s(approx (+ ( (/ (* y y) z) x) y) (/.f64 (.f64 (.f64 y y) x) z)) z)))
accuracy	29.12256550050675	#s(approx (+ (* (/ (* y y) z) x) y) (/.f64 (.f64 (.f64 y y) x) z))
accuracy	0	(*.f64 x y)
accuracy	0.03125	(fma.f64 #s(approx (+ (* y x) z) (*.f64 x y)) y t)
accuracy	29.745240567136058	#s(approx (+ (* y x) z) (*.f64 x y))
accuracy	0	(*.f64 x y)
accuracy	0.140625	(.f64 (.f64 x y) y)
accuracy	39.246551279351095	#s(approx (+ (* (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) t) (.f64 (.f64 x y) y))
accuracy	0	(neg.f64 t)
accuracy	0	#s(approx (+ (* (+ (* y x) z) y) t) (.f64 (neg.f64 t) #s(approx (+ ( (neg y) (/ (+ (* x y) z) t)) -1) #s(literal -1 binary64))))
accuracy	4.509407096913108	(.f64 (neg.f64 t) #s(approx (+ ( (neg y) (/ (+ (* x y) z) t)) -1) #s(literal -1 binary64)))
accuracy	37.0465069339368	#s(approx (+ (* (neg y) (/ (+ (* x y) z) t)) -1) #s(literal -1 binary64))
accuracy	0	#s(approx (+ (* (+ (* y x) z) y) t) (*.f64 (fma.f64 (/.f64 (fma.f64 x y z) t) y #s(literal 1 binary64)) t))
accuracy	2.4019484239338493	(/.f64 (fma.f64 x y z) t)
accuracy	3.47163230187519	(fma.f64 (/.f64 (fma.f64 x y z) t) y #s(literal 1 binary64))
accuracy	4.509407096913108	(*.f64 (fma.f64 (/.f64 (fma.f64 x y z) t) y #s(literal 1 binary64)) t)

Samples

74.0ms

256×

valid

Compiler

Compiled 204 to 43 computations (78.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-mult: 28.0ms (50.7% of total)

ival-div: 13.0ms (23.5% of total)

ival-add: 10.0ms (18.1% of total)

ival-neg: 3.0ms (5.4% of total)

ival-sub: 1.0ms (1.8% of total)

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

exact: 0.0ms (0% of total)

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

series78.0ms (1.3%)

Memory

-1.5MiB live, 108.9MiB allocated

Counts

19 → 744

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
12.0ms	t	@	-inf	((* (+ (* (/ (+ (* x y) z) t) y) 1) t) (+ (* (+ (* y x) z) y) t) (+ (* (/ (+ (* x y) z) t) y) 1) (/ (+ (* x y) z) t) (+ (* (+ (* y x) z) y) t) (* (neg t) (+ (* (neg y) (/ (+ (* x y) z) t)) -1)) (neg t) (+ (* (neg y) (/ (+ (* x y) z) t)) -1) (+ (* (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) t) (* (* x y) y) (* x y) (+ (* (+ (* y x) z) y) t) (+ (* y x) z) (+ (* (+ (* x y) z) y) t) (* (+ (* x y) z) y) (* (+ (* (/ (* y y) z) x) y) z) (+ (* (/ (* y y) z) x) y) (/ (* (* y y) x) z) (* (* y y) x))
2.0ms	y	@	inf	((* (+ (* (/ (+ (* x y) z) t) y) 1) t) (+ (* (+ (* y x) z) y) t) (+ (* (/ (+ (* x y) z) t) y) 1) (/ (+ (* x y) z) t) (+ (* (+ (* y x) z) y) t) (* (neg t) (+ (* (neg y) (/ (+ (* x y) z) t)) -1)) (neg t) (+ (* (neg y) (/ (+ (* x y) z) t)) -1) (+ (* (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) t) (* (* x y) y) (* x y) (+ (* (+ (* y x) z) y) t) (+ (* y x) z) (+ (* (+ (* x y) z) y) t) (* (+ (* x y) z) y) (* (+ (* (/ (* y y) z) x) y) z) (+ (* (/ (* y y) z) x) y) (/ (* (* y y) x) z) (* (* y y) x))
2.0ms	x	@	-inf	((* (+ (* (/ (+ (* x y) z) t) y) 1) t) (+ (* (+ (* y x) z) y) t) (+ (* (/ (+ (* x y) z) t) y) 1) (/ (+ (* x y) z) t) (+ (* (+ (* y x) z) y) t) (* (neg t) (+ (* (neg y) (/ (+ (* x y) z) t)) -1)) (neg t) (+ (* (neg y) (/ (+ (* x y) z) t)) -1) (+ (* (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) t) (* (* x y) y) (* x y) (+ (* (+ (* y x) z) y) t) (+ (* y x) z) (+ (* (+ (* x y) z) y) t) (* (+ (* x y) z) y) (* (+ (* (/ (* y y) z) x) y) z) (+ (* (/ (* y y) z) x) y) (/ (* (* y y) x) z) (* (* y y) x))
2.0ms	y	@	-inf	((* (+ (* (/ (+ (* x y) z) t) y) 1) t) (+ (* (+ (* y x) z) y) t) (+ (* (/ (+ (* x y) z) t) y) 1) (/ (+ (* x y) z) t) (+ (* (+ (* y x) z) y) t) (* (neg t) (+ (* (neg y) (/ (+ (* x y) z) t)) -1)) (neg t) (+ (* (neg y) (/ (+ (* x y) z) t)) -1) (+ (* (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) t) (* (* x y) y) (* x y) (+ (* (+ (* y x) z) y) t) (+ (* y x) z) (+ (* (+ (* x y) z) y) t) (* (+ (* x y) z) y) (* (+ (* (/ (* y y) z) x) y) z) (+ (* (/ (* y y) z) x) y) (/ (* (* y y) x) z) (* (* y y) x))
2.0ms	z	@	0	((* (+ (* (/ (+ (* x y) z) t) y) 1) t) (+ (* (+ (* y x) z) y) t) (+ (* (/ (+ (* x y) z) t) y) 1) (/ (+ (* x y) z) t) (+ (* (+ (* y x) z) y) t) (* (neg t) (+ (* (neg y) (/ (+ (* x y) z) t)) -1)) (neg t) (+ (* (neg y) (/ (+ (* x y) z) t)) -1) (+ (* (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) t) (* (* x y) y) (* x y) (+ (* (+ (* y x) z) y) t) (+ (* y x) z) (+ (* (+ (* x y) z) y) t) (* (+ (* x y) z) y) (* (+ (* (/ (* y y) z) x) y) z) (+ (* (/ (* y y) z) x) y) (/ (* (* y y) x) z) (* (* y y) x))

simplify188.0ms (3.1%)

Memory

12.4MiB live, 250.4MiB allocated

Algorithm

1×	egg-herbie

Rules

10 958×	`lower-fma.f64`
10 958×	`lower-fma.f32`
4 326×	`lower-*.f64`
4 326×	`lower-*.f32`
2 996×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	343	7222
1	1253	6983
2	4237	6748
0	8180	6193

Stop Event

1×	iter limit
1×	node limit

Counts

744 → 715

Calls

Call 1

Inputs
(* y (+ z (* x y)))
(+ t (* y (+ z (* x y))))
(+ t (* y (+ z (* x y))))
(+ t (* y (+ z (* x y))))
(* y (+ z (* x y)))
(+ t (* y (+ z (* x y))))
(+ t (* y (+ z (* x y))))
(+ t (* y (+ z (* x y))))
(/ (* y (+ z (* x y))) t)
(/ (+ t (* y (+ z (* x y)))) t)
(/ (+ t (* y (+ z (* x y)))) t)
(/ (+ t (* y (+ z (* x y)))) t)
(/ (+ z (* x y)) t)
(/ (+ z (* x y)) t)
(/ (+ z (* x y)) t)
(/ (+ z (* x y)) t)
(* y (+ z (* x y)))
(+ t (* y (+ z (* x y))))
(+ t (* y (+ z (* x y))))
(+ t (* y (+ z (* x y))))
(* y (+ z (* x y)))
(+ t (* y (+ z (* x y))))
(+ t (* y (+ z (* x y))))
(+ t (* y (+ z (* x y))))
(* -1 t)
(* -1 t)
(* -1 t)
(* -1 t)
(* -1 (/ (* y (+ z (* x y))) t))
(/ (+ (* -1 t) (* -1 (* y (+ z (* x y))))) t)
(/ (+ (* -1 t) (* -1 (* y (+ z (* x y))))) t)
(/ (+ (* -1 t) (* -1 (* y (+ z (* x y))))) t)
(* y (- (/ (* (pow x 2) (pow y 2)) (- (* x y) z)) (/ (pow z 2) (- (* x y) z))))
(+ t (* y (- (/ (* (pow x 2) (pow y 2)) (- (* x y) z)) (/ (pow z 2) (- (* x y) z)))))
(+ t (* y (- (/ (* (pow x 2) (pow y 2)) (- (* x y) z)) (/ (pow z 2) (- (* x y) z)))))
(+ t (* y (- (/ (* (pow x 2) (pow y 2)) (- (* x y) z)) (/ (pow z 2) (- (* x y) z)))))
(* y (+ z (* x y)))
(+ t (* y (+ z (* x y))))
(+ t (* y (+ z (* x y))))
(+ t (* y (+ z (* x y))))
(* y (+ z (* x y)))
(+ t (* y (+ z (* x y))))
(+ t (* y (+ z (* x y))))
(+ t (* y (+ z (* x y))))
t
(* t (+ 1 (/ (* y (+ z (* x y))) t)))
(* t (+ 1 (/ (* y (+ z (* x y))) t)))
(* t (+ 1 (/ (* y (+ z (* x y))) t)))
t
(* t (+ 1 (/ (* y (+ z (* x y))) t)))
(* t (+ 1 (/ (* y (+ z (* x y))) t)))
(* t (+ 1 (/ (* y (+ z (* x y))) t)))
1
(+ 1 (/ (* y (+ z (* x y))) t))
(+ 1 (/ (* y (+ z (* x y))) t))
(+ 1 (/ (* y (+ z (* x y))) t))
(/ (+ z (* x y)) t)
(/ (+ z (* x y)) t)
(/ (+ z (* x y)) t)
(/ (+ z (* x y)) t)
t
(* t (+ 1 (/ (* y (+ z (* x y))) t)))
(* t (+ 1 (/ (* y (+ z (* x y))) t)))
(* t (+ 1 (/ (* y (+ z (* x y))) t)))
t
(* t (+ 1 (/ (* y (+ z (* x y))) t)))
(* t (+ 1 (/ (* y (+ z (* x y))) t)))
(* t (+ 1 (/ (* y (+ z (* x y))) t)))
(* -1 t)
(* -1 t)
(* -1 t)
(* -1 t)
-1
(- (* -1 (/ (* y (+ z (* x y))) t)) 1)
(- (* -1 (/ (* y (+ z (* x y))) t)) 1)
(- (* -1 (/ (* y (+ z (* x y))) t)) 1)
t
(* t (+ 1 (/ (* y (- (/ (* (pow x 2) (pow y 2)) (- (* x y) z)) (/ (pow z 2) (- (* x y) z)))) t)))
(* t (+ 1 (/ (* y (- (/ (* (pow x 2) (pow y 2)) (- (* x y) z)) (/ (pow z 2) (- (* x y) z)))) t)))
(* t (+ 1 (/ (* y (- (/ (* (pow x 2) (pow y 2)) (- (* x y) z)) (/ (pow z 2) (- (* x y) z)))) t)))
t
(* t (+ 1 (/ (* y (+ z (* x y))) t)))
(* t (+ 1 (/ (* y (+ z (* x y))) t)))
(* t (+ 1 (/ (* y (+ z (* x y))) t)))
t
(* t (+ 1 (/ (* y (+ z (* x y))) t)))
(* t (+ 1 (/ (* y (+ z (* x y))) t)))
(* t (+ 1 (/ (* y (+ z (* x y))) t)))
t
(* -1 (* t (- (* -1 (/ (* y (+ z (* x y))) t)) 1)))
(* -1 (* t (- (* -1 (/ (* y (+ z (* x y))) t)) 1)))
(* -1 (* t (- (* -1 (/ (* y (+ z (* x y))) t)) 1)))
t
(* -1 (* t (- (* -1 (/ (* y (+ z (* x y))) t)) 1)))
(* -1 (* t (- (* -1 (/ (* y (+ z (* x y))) t)) 1)))
(* -1 (* t (- (* -1 (/ (* y (+ z (* x y))) t)) 1)))
1
(+ 1 (/ (* y (+ z (* x y))) t))
(+ 1 (/ (* y (+ z (* x y))) t))
(+ 1 (/ (* y (+ z (* x y))) t))
(/ (+ z (* x y)) t)
(/ (+ z (* x y)) t)
(/ (+ z (* x y)) t)
(/ (+ z (* x y)) t)
t
(* -1 (* t (- (* -1 (/ (* y (+ z (* x y))) t)) 1)))
(* -1 (* t (- (* -1 (/ (* y (+ z (* x y))) t)) 1)))
(* -1 (* t (- (* -1 (/ (* y (+ z (* x y))) t)) 1)))
t
(* -1 (* t (- (* -1 (/ (* y (+ z (* x y))) t)) 1)))
(* -1 (* t (- (* -1 (/ (* y (+ z (* x y))) t)) 1)))
(* -1 (* t (- (* -1 (/ (* y (+ z (* x y))) t)) 1)))
(* -1 t)
(* -1 t)
(* -1 t)
(* -1 t)
-1
(- (* -1 (/ (* y (+ z (* x y))) t)) 1)
(- (* -1 (/ (* y (+ z (* x y))) t)) 1)
(- (* -1 (/ (* y (+ z (* x y))) t)) 1)
t
(* -1 (* t (- (* -1 (/ (* y (- (/ (* (pow x 2) (pow y 2)) (- (* x y) z)) (/ (pow z 2) (- (* x y) z)))) t)) 1)))
(* -1 (* t (- (* -1 (/ (* y (- (/ (* (pow x 2) (pow y 2)) (- (* x y) z)) (/ (pow z 2) (- (* x y) z)))) t)) 1)))
(* -1 (* t (- (* -1 (/ (* y (- (/ (* (pow x 2) (pow y 2)) (- (* x y) z)) (/ (pow z 2) (- (* x y) z)))) t)) 1)))
t
(* -1 (* t (- (* -1 (/ (* y (+ z (* x y))) t)) 1)))
(* -1 (* t (- (* -1 (/ (* y (+ z (* x y))) t)) 1)))
(* -1 (* t (- (* -1 (/ (* y (+ z (* x y))) t)) 1)))
t
(* -1 (* t (- (* -1 (/ (* y (+ z (* x y))) t)) 1)))
(* -1 (* t (- (* -1 (/ (* y (+ z (* x y))) t)) 1)))
(* -1 (* t (- (* -1 (/ (* y (+ z (* x y))) t)) 1)))
(* t (+ 1 (/ (* x (pow y 2)) t)))
(+ (* t (+ 1 (/ (* x (pow y 2)) t))) (* y z))
(+ (* t (+ 1 (/ (* x (pow y 2)) t))) (* y z))
(+ (* t (+ 1 (/ (* x (pow y 2)) t))) (* y z))
(+ t (* x (pow y 2)))
(+ t (+ (* x (pow y 2)) (* y z)))
(+ t (+ (* x (pow y 2)) (* y z)))
(+ t (+ (* x (pow y 2)) (* y z)))
(+ 1 (/ (* x (pow y 2)) t))
(+ 1 (+ (/ (* x (pow y 2)) t) (/ (* y z) t)))
(+ 1 (+ (/ (* x (pow y 2)) t) (/ (* y z) t)))
(+ 1 (+ (/ (* x (pow y 2)) t) (/ (* y z) t)))
(/ (* x y) t)
(+ (/ z t) (/ (* x y) t))
(+ (/ z t) (/ (* x y) t))
(+ (/ z t) (/ (* x y) t))
(+ t (* x (pow y 2)))
(+ t (+ (* x (pow y 2)) (* y z)))
(+ t (+ (* x (pow y 2)) (* y z)))
(+ t (+ (* x (pow y 2)) (* y z)))
(* -1 (* t (- (* -1 (/ (* x (pow y 2)) t)) 1)))
(+ (* -1 (* t (- (* -1 (/ (* x (pow y 2)) t)) 1))) (* y z))
(+ (* -1 (* t (- (* -1 (/ (* x (pow y 2)) t)) 1))) (* y z))
(+ (* -1 (* t (- (* -1 (/ (* x (pow y 2)) t)) 1))) (* y z))
(- (* -1 (/ (* x (pow y 2)) t)) 1)
(- (+ (* -1 (/ (* x (pow y 2)) t)) (* -1 (/ (* y z) t))) 1)
(- (+ (* -1 (/ (* x (pow y 2)) t)) (* -1 (/ (* y z) t))) 1)
(- (+ (* -1 (/ (* x (pow y 2)) t)) (* -1 (/ (* y z) t))) 1)
(+ t (* x (pow y 2)))
(+ t (+ (* x (pow y 2)) (* y z)))
(+ t (+ (* x (pow y 2)) (* y z)))
(+ t (+ (* x (pow y 2)) (* y z)))
(+ t (* x (pow y 2)))
(+ t (+ (* x (pow y 2)) (* y z)))
(+ t (+ (* x (pow y 2)) (* y z)))
(+ t (+ (* x (pow y 2)) (* y z)))
(* x y)
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(+ t (* x (pow y 2)))
(+ t (+ (* x (pow y 2)) (* y z)))
(+ t (+ (* x (pow y 2)) (* y z)))
(+ t (+ (* x (pow y 2)) (* y z)))
(* x (pow y 2))
(+ (* x (pow y 2)) (* y z))
(+ (* x (pow y 2)) (* y z))
(+ (* x (pow y 2)) (* y z))
(* x (pow y 2))
(+ (* x (pow y 2)) (* y z))
(+ (* x (pow y 2)) (* y z))
(+ (* x (pow y 2)) (* y z))
(/ (* x (pow y 2)) z)
(/ (+ (* x (pow y 2)) (* y z)) z)
(/ (+ (* x (pow y 2)) (* y z)) z)
(/ (+ (* x (pow y 2)) (* y z)) z)
(/ (* x (pow y 2)) z)
(/ (* x (pow y 2)) z)
(/ (* x (pow y 2)) z)
(/ (* x (pow y 2)) z)
(* y z)
(* z (+ y (/ (* t (+ 1 (/ (* x (pow y 2)) t))) z)))
(* z (+ y (/ (* t (+ 1 (/ (* x (pow y 2)) t))) z)))
(* z (+ y (/ (* t (+ 1 (/ (* x (pow y 2)) t))) z)))
(* y z)
(* z (+ y (+ (/ t z) (/ (* x (pow y 2)) z))))
(* z (+ y (+ (/ t z) (/ (* x (pow y 2)) z))))
(* z (+ y (+ (/ t z) (/ (* x (pow y 2)) z))))
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(* -1 (* x (+ (* -1 (pow y 2)) (/ (* t (- (* -1 (/ (* y z) t)) 1)) x))))
(* -1 (* x (+ (* -1 (pow y 2)) (/ (* t (- (* -1 (/ (* y z) t)) 1)) x))))
(* -1 (/ (* x (pow y 2)) t))
(* -1 (* x (+ (* -1 (/ (- (* -1 (/ (* y z) t)) 1) x)) (/ (pow y 2) t))))
(* -1 (* x (+ (* -1 (/ (- (* -1 (/ (* y z) t)) 1) x)) (/ (pow y 2) t))))
(* -1 (* x (+ (* -1 (/ (- (* -1 (/ (* y z) t)) 1) x)) (/ (pow y 2) t))))
(* x (pow y 2))
(* -1 (* x (+ (* -1 (/ (+ t (* y z)) x)) (* -1 (pow y 2)))))
(* -1 (* x (+ (* -1 (/ (+ t (+ (* y z) (/ (* y (+ (* -1 (/ (pow z 2) y)) (/ (pow z 2) y))) x))) x)) (* -1 (pow y 2)))))
(* -1 (* x (+ (* -1 (/ (+ t (+ (* y z) (/ (* y (+ (* -1 (/ (pow z 2) y)) (/ (pow z 2) y))) x))) x)) (* -1 (pow y 2)))))
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Outputs
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rewrite232.0ms (3.8%)

Memory

5.9MiB live, 246.6MiB allocated

Rules

5 198×	`lower-/.f32`
5 194×	`lower-/.f64`
4 732×	`lower-*.f32`
4 718×	`lower-*.f64`
4 466×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	276
0	69	271
1	284	249
2	1930	249
0	8450	241

Stop Event

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

Counts

19 → 226

Calls

Call 1

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

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

eval157.0ms (2.6%)

Memory: -6.1MiB live, 224.8MiB allocated
Compiler: Compiled 13 078 to 1 434 computations (89% saved)

prune49.0ms (0.8%)

Memory

13.4MiB live, 89.1MiB allocated

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	964	3	967
Fresh	0	1	1
Picked	3	2	5
Done	1	4	5
Total	968	10	978

Accuracy

100.0%

Counts

978 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	78.3%	(fma.f64 #s(approx (+ (* y x) z) (*.f64 x y)) y t)
	77.4%	(+.f64 (.f64 (fma.f64 (.f64 x x) #s(approx (/ (* y y) (- (* y x) z)) (/.f64 y x)) (neg.f64 #s(approx (* z (/ z (- (* y x) z))) (neg.f64 z)))) y) t)
✓	66.4%	#s(approx (+ (* (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) t) (fma.f64 z y t))
✓	37.5%	#s(approx (+ (* (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) t) (.f64 (.f64 y y) x))
✓	38.6%	#s(approx (+ (* (+ (* (* x x) (/ (* y y) (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) t) (.f64 (.f64 x y) y))
	74.6%	#s(approx (+ (* (+ (* y x) z) y) t) (.f64 (fma.f64 #s(approx (/ (+ ( x y) z) t) (/.f64 (*.f64 x y) t)) y #s(literal 1 binary64)) t))
	42.2%	#s(approx (+ (* (+ (* y x) z) y) t) (.f64 #s(approx (+ ( (/ (+ (* x y) z) t) y) 1) #s(literal 1 binary64)) t))
✓	59.5%	#s(approx (+ (* (+ (* x y) z) y) t) (*.f64 (fma.f64 x y z) y))
✓	25.9%	#s(approx (+ (* (+ (* x y) z) y) t) (*.f64 z y))
	33.7%	#s(approx (+ (* (+ (* x y) z) y) t) #s(approx (* (+ (* x y) z) y) (.f64 #s(approx (+ ( (/ (* y y) z) x) y) (.f64 (/.f64 x z) (.f64 y y))) z)))

Compiler

Compiled 390 to 192 computations (50.8% saved)

regimes72.0ms (1.2%)

Memory

-14.8MiB live, 106.2MiB allocated

Counts

28 → 1

Calls

Call 1

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

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

Calls

6 calls:

27.0ms	(.f64 (+.f64 (.f64 x y) z) y)
10.0ms	t
10.0ms	x
8.0ms	z
8.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`t`
100.0%	1	`(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)`
100.0%	1	`(.f64 (+.f64 (.f64 x y) z) y)`

Compiler

Compiled 20 to 31 computations (-55% saved)

regimes55.0ms (0.9%)

Memory

-16.9MiB live, 74.6MiB allocated

Counts

13 → 3

Calls

Call 1

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

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

Calls

6 calls:

31.0ms	x
6.0ms	t
5.0ms	y
5.0ms	z
4.0ms	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)

Results

Accuracy	Segments	Branch
88.7%	3	`x`
90.5%	3	`y`
90.9%	3	`z`
87.4%	3	`t`
89.2%	3	`(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)`
94.5%	3	`(.f64 (+.f64 (.f64 x y) z) y)`

Compiler

Compiled 20 to 31 computations (-55% saved)

regimes22.0ms (0.4%)

Memory

24.8MiB live, 24.8MiB allocated

Counts

10 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

4.0ms	y
4.0ms	z
4.0ms	x
4.0ms	t
3.0ms	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)

Results

Accuracy	Segments	Branch
69.8%	3	`t`
74.0%	3	`x`
84.4%	3	`(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)`
84.1%	3	`y`
71.0%	3	`z`
86.0%	3	`(.f64 (+.f64 (.f64 x y) z) y)`

Compiler

Compiled 20 to 31 computations (-55% saved)

regimes26.0ms (0.4%)

Memory

-9.7MiB live, 28.7MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

6 calls:

13.0ms	(.f64 (+.f64 (.f64 x y) z) y)
3.0ms	y
3.0ms	t
3.0ms	z
3.0ms	x

Results

Accuracy	Segments	Branch
66.4%	1	`t`
66.4%	1	`z`
66.4%	1	`x`
66.4%	1	`y`
66.4%	1	`(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)`
66.4%	1	`(.f64 (+.f64 (.f64 x y) z) y)`

Compiler

Compiled 20 to 31 computations (-55% saved)

regimes29.0ms (0.5%)

Memory

-16.8MiB live, 21.6MiB allocated

Counts

2 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

21.0ms	x
2.0ms	z
2.0ms	y
2.0ms	t
2.0ms	(.f64 (+.f64 (.f64 x y) z) y)

Results

Accuracy	Segments	Branch
49.7%	3	`y`
42.2%	1	`x`
48.6%	3	`(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)`
56.7%	3	`(.f64 (+.f64 (.f64 x y) z) y)`
56.4%	3	`z`
51.8%	3	`t`

Compiler

Compiled 20 to 31 computations (-55% saved)

regimes8.0ms (0.1%)

Memory

22.1MiB live, 22.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

1.0ms	y
1.0ms	z
1.0ms	t
1.0ms	x
1.0ms	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)

Results

Accuracy	Segments	Branch
25.9%	1	`x`
25.9%	1	`(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)`
25.9%	1	`y`
25.9%	1	`t`
25.9%	1	`z`
25.9%	1	`(.f64 (+.f64 (.f64 x y) z) y)`

Compiler

Compiled 20 to 31 computations (-55% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.990533884614134e+143	6.734220745539356e+146
0.0ms	-3.867785168762514e+30	-5.431334300506845e+28

Compiler

Compiled 12 to 15 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.990533884614134e+143	6.734220745539356e+146
0.0ms	-inf	-3.885571199687011e+298

Compiler

Compiled 12 to 15 computations (-25% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.734972900623301e+154	3.5314192385374926e+196
0.0ms	-2.1340175872709034e+69	-2.259059573812416e+65

Compiler

Compiled 12 to 15 computations (-25% saved)

simplify32.0ms (0.5%)

Memory

-5.5MiB live, 73.1MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`-commutative-binary64-.f64`
2×	`1-exp-binary32-exp.f32`
2×	`1-exp-binary64-exp.f64`
2×	`+-commutative-binary64-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	247
1	60	247

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (fma.f64 y x z) y t)
(if (<=.f64 (.f64 (+.f64 (.f64 x y) z) y) #s(literal -2000000000000000039769249677312 binary64)) #s(approx (+ (* (+ (* x y) z) y) t) (.f64 (fma.f64 x y z) y)) (if (<=.f64 (.f64 (+.f64 (.f64 x y) z) y) #s(literal 1000000000000000023745432358651105357408657927828682187473464988670237429542020572568177628216083294129345969133840116075793413169890081573437440 binary64)) #s(approx (+ ( (+ (* x y) z) y) t) (fma.f64 z y t)) #s(approx (+ (* (+ (* x y) z) y) t) (*.f64 (fma.f64 x y z) y))))
(if (<=.f64 (.f64 (+.f64 (.f64 x y) z) y) #s(literal -inf.0 binary64)) #s(approx (+ (* (+ (* x y) z) y) t) (.f64 #s(approx (+ ( x y) z) (.f64 x y)) y)) (if (<=.f64 (.f64 (+.f64 (.f64 x y) z) y) #s(literal 1000000000000000023745432358651105357408657927828682187473464988670237429542020572568177628216083294129345969133840116075793413169890081573437440 binary64)) #s(approx (+ ( (+ (* x y) z) y) t) (fma.f64 z y t)) #s(approx (+ (* (+ (* x y) z) y) t) (.f64 #s(approx (+ ( x y) z) (*.f64 x y)) y))))
#s(approx (+ (* (+ (* x y) z) y) t) (fma.f64 z y t))
(if (<=.f64 (.f64 (+.f64 (.f64 x y) z) y) #s(literal -2000000000000000145062872763058470252316748819293043911036420310958080 binary64)) #s(approx (+ (* (+ (* x y) z) y) t) (.f64 z y)) (if (<=.f64 (.f64 (+.f64 (.f64 x y) z) y) #s(literal 50000000000000000358811577045508415204030740594580155903356386073125330840244170064133303492288094665193286906648381068130040767114734612976366826838556672 binary64)) #s(approx (+ ( (+ (* y x) z) y) t) (.f64 #s(approx (+ ( (/ (+ (* x y) z) t) y) 1) #s(literal 1 binary64)) t)) #s(approx (+ (* (+ (* x y) z) y) t) (*.f64 z y))))
#s(approx (+ (* (+ (* x y) z) y) t) (*.f64 z y))

Outputs
(fma.f64 (fma.f64 y x z) y t)
(if (<=.f64 (.f64 (+.f64 (.f64 x y) z) y) #s(literal -2000000000000000039769249677312 binary64)) #s(approx (+ (* (+ (* x y) z) y) t) (.f64 (fma.f64 x y z) y)) (if (<=.f64 (.f64 (+.f64 (.f64 x y) z) y) #s(literal 1000000000000000023745432358651105357408657927828682187473464988670237429542020572568177628216083294129345969133840116075793413169890081573437440 binary64)) #s(approx (+ ( (+ (* x y) z) y) t) (fma.f64 z y t)) #s(approx (+ (* (+ (* x y) z) y) t) (*.f64 (fma.f64 x y z) y))))
(if (<=.f64 (.f64 (+.f64 (.f64 x y) z) y) #s(literal -inf.0 binary64)) #s(approx (+ (* (+ (* x y) z) y) t) (.f64 #s(approx (+ ( x y) z) (.f64 x y)) y)) (if (<=.f64 (.f64 (+.f64 (.f64 x y) z) y) #s(literal 1000000000000000023745432358651105357408657927828682187473464988670237429542020572568177628216083294129345969133840116075793413169890081573437440 binary64)) #s(approx (+ ( (+ (* x y) z) y) t) (fma.f64 z y t)) #s(approx (+ (* (+ (* x y) z) y) t) (.f64 #s(approx (+ ( x y) z) (*.f64 x y)) y))))
#s(approx (+ (* (+ (* x y) z) y) t) (fma.f64 z y t))
(if (<=.f64 (.f64 (+.f64 (.f64 x y) z) y) #s(literal -2000000000000000145062872763058470252316748819293043911036420310958080 binary64)) #s(approx (+ (* (+ (* x y) z) y) t) (.f64 z y)) (if (<=.f64 (.f64 (+.f64 (.f64 x y) z) y) #s(literal 50000000000000000358811577045508415204030740594580155903356386073125330840244170064133303492288094665193286906648381068130040767114734612976366826838556672 binary64)) #s(approx (+ ( (+ (* y x) z) y) t) (.f64 #s(approx (+ ( (/ (+ (* x y) z) t) y) 1) #s(literal 1 binary64)) t)) #s(approx (+ (* (+ (* x y) z) y) t) (*.f64 z y))))
#s(approx (+ (* (+ (* x y) z) y) t) (*.f64 z y))

soundness892.0ms (14.8%)

Memory

33.1MiB live, 804.9MiB allocated

Rules

10 958×	`lower-fma.f64`
10 958×	`lower-fma.f32`
8 672×	`lower-fma.f64`
8 672×	`lower-fma.f32`
8 254×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	840
1	335	840
2	1007	840
3	2705	832
4	5621	832
0	8108	710
0	343	7222
1	1253	6983
2	4237	6748
0	8180	6193
0	8	24
0	12	24
1	41	24
2	308	24
3	3837	24
0	8119	20
0	695	8057
1	2394	7460
0	8010	6954
0	788	7551
1	2679	7022
0	8586	6522

Stop Event

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

Compiler

Compiled 233 to 129 computations (44.6% saved)

preprocess66.0ms (1.1%)

Memory: 4.4MiB live, 119.1MiB allocated
Compiler: Compiled 272 to 94 computations (65.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample749.0ms (12.4%)

explain117.0ms (1.9%)

preprocess131.0ms (2.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize21.0ms (0.3%)

series11.0ms (0.2%)

simplify185.0ms (3.1%)

rewrite180.0ms (3%)

eval47.0ms (0.8%)

prune13.0ms (0.2%)

simplify197.0ms (3.3%)

localize135.0ms (2.2%)

series69.0ms (1.1%)

simplify212.0ms (3.5%)

rewrite287.0ms (4.8%)

eval215.0ms (3.6%)

prune55.0ms (0.9%)

simplify144.0ms (2.4%)

localize135.0ms (2.2%)

series68.0ms (1.1%)

simplify229.0ms (3.8%)

rewrite315.0ms (5.2%)

eval266.0ms (4.4%)

prune54.0ms (0.9%)

simplify181.0ms (3%)

localize105.0ms (1.7%)

series78.0ms (1.3%)

simplify188.0ms (3.1%)

rewrite232.0ms (3.8%)

eval157.0ms (2.6%)

prune49.0ms (0.8%)

regimes72.0ms (1.2%)

regimes55.0ms (0.9%)

regimes22.0ms (0.4%)

regimes26.0ms (0.4%)

regimes29.0ms (0.5%)

regimes8.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify32.0ms (0.5%)

soundness892.0ms (14.8%)

preprocess66.0ms (1.1%)

end0.0ms (0%)

Profiling