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

0.6MiB live, 0.6MiB 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)

sample642.0ms (8.4%)

Memory

37.6MiB live, 960.4MiB allocated

Samples

394.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 193.0ms

ival-mult: 112.0ms (58.1% of total)

ival-add: 72.0ms (37.4% of total)

ival-true: 5.0ms (2.6% of total)

ival-assert: 2.0ms (1% of total)

Bogosity

explain75.0ms (1%)

Memory

9.7MiB live, 128.5MiB 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

29.0ms

512×

valid

Compiler

Compiled 97 to 36 computations (62.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 7.0ms (60.5% of total)

ival-add: 4.0ms (34.6% of total)

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

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

preprocess128.0ms (1.7%)

Memory

-9.9MiB live, 59.1MiB 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: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify4.0ms (0%)

Memory

6.4MiB live, 6.4MiB 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

localize28.0ms (0.4%)

Memory

-1.4MiB live, 35.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
accuracy	0	(*.f64 x y)
accuracy	0.01171875	(+.f64 (*.f64 x y) z)
accuracy	0.08984375	(.f64 (+.f64 (.f64 x y) z) y)

Samples

23.0ms

256×

valid

Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 13.0ms (81.8% of total)

ival-add: 3.0ms (18.9% of total)

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

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

series29.0ms (0.4%)

Memory

-30.7MiB live, 21.0MiB 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	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))
1.0ms	x	@	inf	((+ (* (+ (* x y) z) y) t) (+ (* x y) z) (* (+ (* x y) z) y) (* x y))

simplify136.0ms (1.8%)

Memory

0.6MiB live, 160.7MiB 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)

rewrite181.0ms (2.4%)

Memory

43.8MiB live, 234.9MiB 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 (fma.f64 (-.f64 t (.f64 (fma.f64 y x z) y)) 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 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 (fma.f64 (-.f64 t (.f64 (fma.f64 y x z) y)) t (pow.f64 (.f64 (fma.f64 y x z) y) #s(literal 2 binary64))) (+.f64 (pow.f64 t #s(literal 9 binary64)) (pow.f64 (.f64 (fma.f64 y x z) y) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.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 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 (fma.f64 t t (pow.f64 (.f64 (fma.f64 y x z) y) #s(literal 2 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 6 binary64)) (pow.f64 t #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 t t) (fma.f64 t 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))) #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 (+.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 y x z) y) #s(literal 3 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 (+.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 y x z) y) #s(literal 3 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 (fma.f64 (-.f64 t (.f64 (fma.f64 y x z) y)) t (pow.f64 (.f64 (fma.f64 y x z) y) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 y x z) y) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (-.f64 t (.f64 (fma.f64 y x z) y)) t (pow.f64 (.f64 (fma.f64 y x z) y) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 y x z) y) #s(literal 3 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 (+.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 y x z) y) #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (-.f64 t (.f64 (fma.f64 y x z) y)) t (pow.f64 (.f64 (fma.f64 y x z) y) #s(literal 2 binary64)))) #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 (fma.f64 (-.f64 t (.f64 (fma.f64 y x z) y)) t (pow.f64 (.f64 (fma.f64 y x z) y) #s(literal 2 binary64))) (/.f64 (fma.f64 (fma.f64 y x z) y t) (fma.f64 (-.f64 t (.f64 (fma.f64 y x z) y)) t (pow.f64 (*.f64 (fma.f64 y x z) y) #s(literal 2 binary64)))))
(.f64 (fma.f64 (-.f64 t (.f64 (fma.f64 y x z) y)) t (pow.f64 (.f64 (fma.f64 y x z) y) #s(literal 2 binary64))) (.f64 (fma.f64 (fma.f64 y x z) y t) (pow.f64 (fma.f64 (-.f64 t (.f64 (fma.f64 y x z) y)) t (pow.f64 (.f64 (fma.f64 y x z) y) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (+.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 y x z) y) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 t (.f64 (fma.f64 y x z) y)) t (pow.f64 (.f64 (fma.f64 y x z) y) #s(literal 2 binary64))) #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))) (fma.f64 t t (pow.f64 (.f64 (fma.f64 y x z) y) #s(literal 2 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 (.f64 (fma.f64 y x z) y) t) #s(literal -1 binary64))) (fma.f64 (.f64 t t) (fma.f64 t 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 (-.f64 (pow.f64 (.f64 (fma.f64 y x z) y) #s(literal 6 binary64)) (pow.f64 t #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 t (.f64 (fma.f64 y x z) y)) t (pow.f64 (.f64 (fma.f64 y x z) y) #s(literal 2 binary64))) #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 (+.f64 (pow.f64 t #s(literal 9 binary64)) (pow.f64 (.f64 (fma.f64 y x z) y) #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 t (.f64 (fma.f64 y x z) y)) t (pow.f64 (.f64 (fma.f64 y x z) y) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.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 t (*.f64 (fma.f64 y x z) y)) #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 y x z) y) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 t (.f64 (fma.f64 y x z) y)) t (pow.f64 (.f64 (fma.f64 y x z) y) #s(literal 2 binary64))))
(/.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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(*.f64 (fma.f64 y x z) y)
(*.f64 y (fma.f64 y x z))
(pow.f64 (/.f64 (-.f64 (.f64 y x) z) (.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 y x) #s(literal 2 binary64))) y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (-.f64 z (.f64 y x)) z (pow.f64 (.f64 y x) #s(literal 2 binary64))) (.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) y)) #s(literal -1 binary64))
(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 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) y))) (exp.f64 (log.f64 (fma.f64 (-.f64 z (.f64 y x)) z (pow.f64 (.f64 y x) #s(literal 2 binary64))))))
(/.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 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) y) (neg.f64 (fma.f64 (-.f64 z (.f64 y x)) z (pow.f64 (.f64 y x) #s(literal 2 binary64)))))
(/.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 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 z (.f64 y x)) z (pow.f64 (.f64 y x) #s(literal 2 binary64)))))
(/.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 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) y)) (neg.f64 (fma.f64 (-.f64 z (.f64 y x)) z (pow.f64 (.f64 y x) #s(literal 2 binary64)))))
(/.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 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) y) (fma.f64 (-.f64 z (.f64 y x)) z (pow.f64 (.f64 y x) #s(literal 2 binary64))))
(/.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 (fma.f64 (-.f64 z (.f64 y x)) z (pow.f64 (.f64 y x) #s(literal 2 binary64))) (.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 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)))

eval53.0ms (0.7%)

Memory: -28.0MiB live, 91.9MiB allocated
Compiler: Compiled 8 115 to 887 computations (89.1% saved)

prune54.0ms (0.7%)

Memory

21.9MiB live, 98.2MiB 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
	64.5%	(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)
	56.7%	(fma.f64 (.f64 (.f64 (fma.f64 y x z) y) y) (/.f64 (fma.f64 y x z) (-.f64 (.f64 (fma.f64 y x z) y) t)) (neg.f64 (.f64 t (/.f64 t (-.f64 (*.f64 (fma.f64 y x z) y) t)))))
▶	89.6%	(fma.f64 (*.f64 y y) x (fma.f64 z y t))
▶	68.9%	(+.f64 (.f64 (fma.f64 (.f64 (.f64 x x) y) (/.f64 y (-.f64 (.f64 y x) z)) (neg.f64 (.f64 z (/.f64 z (-.f64 (.f64 y x) z))))) y) t)
	24.3%	(.f64 (pow.f64 (fma.f64 (-.f64 t (.f64 (fma.f64 y x z) y)) t (pow.f64 (.f64 (fma.f64 y x z) y) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 y x z) y) #s(literal 3 binary64))))
▶	74.5%	#s(approx (+ (* (+ (* x y) z) y) t) (fma.f64 (*.f64 y y) x t))
	64.0%	#s(approx (+ (* (+ (* x y) z) y) t) (fma.f64 z y t))
	69.1%	#s(approx (+ (* (+ (* x y) z) y) t) (.f64 (fma.f64 (+.f64 (/.f64 t (.f64 y y)) x) y z) y))
	66.0%	#s(approx (+ (* (+ (* x y) z) y) t) (*.f64 (fma.f64 x y z) y))
▶	41.7%	#s(approx (+ (* (+ (* x y) z) y) t) (.f64 (.f64 y y) x))
▶	30.4%	#s(approx (+ (* (+ (* x y) z) y) t) (*.f64 z y))

Compiler

Compiled 328 to 214 computations (34.8% saved)

simplify533.0ms (7%)

Memory

-50.4MiB live, 91.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

4 608×	`lower-fma.f32`
4 600×	`lower-fma.f64`
2 432×	`lower-*.f32`
2 416×	`lower-*.f64`
1 610×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	219
0	46	219
1	83	219
2	140	219
3	305	215
4	626	207
5	1375	205
6	3301	202
7	4409	202
8	4775	202
9	5047	202
10	5103	202
11	5111	200
12	6065	200
13	6360	200
14	6388	200
15	6524	200
16	7198	200
17	7816	200
18	7832	200
19	7840	200
20	7840	200
21	7992	200
0	8016	188

Stop Event

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

Calls

Call 1

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

localize100.0ms (1.3%)

Memory

-26.6MiB live, 131.5MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	3.170916937305522	(/.f64 z (-.f64 (*.f64 y x) z))
accuracy	7.380453913065584	(/.f64 y (-.f64 (*.f64 y x) z))
accuracy	7.580306722150531	(.f64 (.f64 x x) y)
accuracy	10.598080370638412	(fma.f64 (.f64 (.f64 x x) y) (/.f64 y (-.f64 (.f64 y x) z)) (neg.f64 (.f64 z (/.f64 z (-.f64 (*.f64 y x) z)))))
accuracy	0	(*.f64 y y)
accuracy	4.7613967448404955	(fma.f64 (*.f64 y y) x t)
accuracy	15.136058400986393	#s(approx (+ (* (+ (* x y) z) y) t) (fma.f64 (*.f64 y y) x t))
accuracy	0	(*.f64 y y)
accuracy	7.198836899651839	(.f64 (.f64 y y) x)
accuracy	36.40679270627935	#s(approx (+ (* (+ (* x y) z) y) t) (.f64 (.f64 y y) x))
accuracy	0	(*.f64 z y)
accuracy	44.544239952435326	#s(approx (+ (* (+ (* x y) z) y) t) (*.f64 z y))
accuracy	0	(fma.f64 z y t)
accuracy	0	(*.f64 y y)
accuracy	6.2867207257923345	(fma.f64 (*.f64 y y) x (fma.f64 z y t))

Samples

73.0ms

256×

valid

Compiler

Compiled 211 to 28 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 20.0ms (60.7% of total)

ival-add: 7.0ms (21.3% of total)

ival-div: 3.0ms (9.1% of total)

ival-sub: 1.0ms (3% of total)

ival-neg: 1.0ms (3% of total)

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

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

series347.0ms (4.5%)

Memory

0.1MiB live, 76.9MiB allocated

Counts

16 → 576

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
7.0ms	y	@	inf	((+ (* (* y y) x) (+ (* z y) t)) (* y y) (+ (* z y) t) (+ (* (+ (* x y) z) y) t) (* z y) (+ (* (+ (* x y) z) y) t) (* (* y y) x) (+ (* (+ (* x y) z) y) t) (+ (* (* y y) x) t) (+ (* (* (* 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) (* (* x x) y) (/ y (- (* y x) z)) (/ z (- (* y x) z)))
6.0ms	y	@	-inf	((+ (* (* y y) x) (+ (* z y) t)) (* y y) (+ (* z y) t) (+ (* (+ (* x y) z) y) t) (* z y) (+ (* (+ (* x y) z) y) t) (* (* y y) x) (+ (* (+ (* x y) z) y) t) (+ (* (* y y) x) t) (+ (* (* (* 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) (* (* x x) y) (/ y (- (* y x) z)) (/ z (- (* y x) z)))
3.0ms	x	@	inf	((+ (* (* y y) x) (+ (* z y) t)) (* y y) (+ (* z y) t) (+ (* (+ (* x y) z) y) t) (* z y) (+ (* (+ (* x y) z) y) t) (* (* y y) x) (+ (* (+ (* x y) z) y) t) (+ (* (* y y) x) t) (+ (* (* (* 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) (* (* x x) y) (/ y (- (* y x) z)) (/ z (- (* y x) z)))
3.0ms	t	@	0	((+ (* (* y y) x) (+ (* z y) t)) (* y y) (+ (* z y) t) (+ (* (+ (* x y) z) y) t) (* z y) (+ (* (+ (* x y) z) y) t) (* (* y y) x) (+ (* (+ (* x y) z) y) t) (+ (* (* y y) x) t) (+ (* (* (* 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) (* (* x x) y) (/ y (- (* y x) z)) (/ z (- (* y x) z)))
3.0ms	x	@	-inf	((+ (* (* y y) x) (+ (* z y) t)) (* y y) (+ (* z y) t) (+ (* (+ (* x y) z) y) t) (* z y) (+ (* (+ (* x y) z) y) t) (* (* y y) x) (+ (* (+ (* x y) z) y) t) (+ (* (* y y) x) t) (+ (* (* (* 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) (* (* x x) y) (/ y (- (* y x) z)) (/ z (- (* y x) z)))

simplify166.0ms (2.2%)

Memory

28.8MiB live, 217.8MiB allocated

Algorithm

1×	egg-herbie

Rules

7 268×	`lower-fma.f64`
7 268×	`lower-fma.f32`
4 796×	`lower-*.f64`
4 796×	`lower-*.f32`
2 726×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	716	6703
1	2450	6124
2	7880	6082
0	8342	5637

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 545

Calls

Call 1

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

rewrite268.0ms (3.5%)

Memory

-16.5MiB live, 299.6MiB allocated

Rules

6 376×	`lower-fma.f32`
6 368×	`lower-fma.f64`
4 944×	`lower-/.f32`
4 940×	`lower-/.f64`
4 064×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	178
0	46	160
1	189	124
2	1476	124
0	8153	112

Stop Event

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

Counts

16 → 813

Calls

Call 1

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

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

eval221.0ms (2.9%)

Memory: 26.7MiB live, 376.6MiB allocated
Compiler: Compiled 39 375 to 3 830 computations (90.3% saved)

prune158.0ms (2.1%)

Memory

4.5MiB live, 331.1MiB allocated

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	1 385	9	1 394
Fresh	5	1	6
Picked	2	3	5
Done	0	0	0
Total	1 392	13	1 405

Accuracy

100.0%

Counts

1 405 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.5%	(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)
	56.2%	(fma.f64 (.f64 y y) x #s(approx (+ ( z y) t) (*.f64 z y)))
▶	68.6%	(+.f64 (.f64 (fma.f64 (.f64 (.f64 x x) y) (/.f64 y (-.f64 (.f64 y x) z)) (neg.f64 (.f64 z #s(approx (/ z (- ( y x) z)) #s(literal -1 binary64))))) y) t)
	24.3%	(.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 x y z) y) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 t (-.f64 t (.f64 (fma.f64 x y z) y)) (pow.f64 (.f64 (fma.f64 x y z) y) #s(literal 2 binary64))))))
▶	64.0%	#s(approx (+ (* (+ (* (* (* x x) y) (/ y (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) t) (fma.f64 z y t))
✓	74.5%	#s(approx (+ (* (+ (* x y) z) y) t) (fma.f64 (*.f64 y y) x t))
▶	86.9%	#s(approx (+ (* (+ (* x y) z) y) t) (*.f64 (fma.f64 (/.f64 (fma.f64 y x z) t) y #s(literal 1 binary64)) t))
▶	66.0%	#s(approx (+ (* (+ (* x y) z) y) t) (*.f64 (fma.f64 y x z) y))
✓	41.7%	#s(approx (+ (* (+ (* x y) z) y) t) (.f64 (.f64 y y) x))
	43.0%	#s(approx (+ (* (+ (* x y) z) y) t) (.f64 (.f64 x y) y))
✓	30.4%	#s(approx (+ (* (+ (* x y) z) y) t) (*.f64 z y))
▶	67.8%	#s(approx (+ (* (+ (* x y) z) y) t) #s(approx (+ (* (* y y) x) t) (*.f64 (fma.f64 y y (/.f64 t x)) x)))
	72.3%	#s(approx (+ (* (+ (* x y) z) y) t) #s(approx (+ (* (* y y) x) t) (.f64 (neg.f64 t) (fma.f64 (neg.f64 x) (/.f64 (.f64 y y) t) #s(literal -1 binary64)))))

Compiler

Compiled 293 to 234 computations (20.1% saved)

simplify162.0ms (2.1%)

Memory

12.0MiB live, 123.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) y)
cost-diff	0	(fma.f64 (.f64 (.f64 x x) y) (/.f64 y (-.f64 (.f64 y x) z)) (neg.f64 (.f64 z #s(approx (/ z (- (* y x) z)) #s(literal -1 binary64)))))
cost-diff	0	(.f64 (fma.f64 (.f64 (.f64 x x) y) (/.f64 y (-.f64 (.f64 y x) z)) (neg.f64 (.f64 z #s(approx (/ z (- ( y x) z)) #s(literal -1 binary64))))) y)
cost-diff	0	(fma.f64 y y (/.f64 t x))
cost-diff	0	#s(approx (+ (* (* y y) x) t) (*.f64 (fma.f64 y y (/.f64 t x)) x))
cost-diff	0	#s(approx (+ (* (+ (* x y) z) y) t) #s(approx (+ (* (* y y) x) t) (*.f64 (fma.f64 y y (/.f64 t x)) x)))
cost-diff	704	(*.f64 (fma.f64 y y (/.f64 t x)) x)
cost-diff	0	(fma.f64 y x z)
cost-diff	0	(*.f64 (fma.f64 y x z) y)
cost-diff	0	#s(approx (+ (* (+ (* x y) z) y) t) (*.f64 (fma.f64 y x z) y))
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	(/.f64 (fma.f64 y x z) t)
cost-diff	0	(fma.f64 (/.f64 (fma.f64 y x z) t) y #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (* (+ (* x y) z) y) t) (*.f64 (fma.f64 (/.f64 (fma.f64 y x z) t) y #s(literal 1 binary64)) t))
cost-diff	1024	(*.f64 (fma.f64 (/.f64 (fma.f64 y x z) t) y #s(literal 1 binary64)) t)

Rules

6 214×	`lower-fma.f32`
6 204×	`lower-fma.f64`
3 860×	`lower-*.f32`
3 844×	`lower-*.f64`
2 230×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	328
0	73	324
1	125	324
2	214	324
3	470	324
4	994	310
5	2225	309
6	4670	308
7	6983	308
0	8116	296

Stop Event

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

Calls

Call 1

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

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

localize184.0ms (2.4%)

Memory

-3.0MiB live, 157.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	7.380453913065584	(/.f64 y (-.f64 (*.f64 y x) z))
accuracy	7.580306722150531	(.f64 (.f64 x x) y)
accuracy	10.598080370638412	(fma.f64 (.f64 (.f64 x x) y) (/.f64 y (-.f64 (.f64 y x) z)) (neg.f64 (.f64 z #s(approx (/ z (- (* y x) z)) #s(literal -1 binary64)))))
accuracy	32.51980095111157	#s(approx (/ z (- (* y x) z)) #s(literal -1 binary64))
accuracy	0	#s(approx (+ (* (* y y) x) t) (*.f64 (fma.f64 y y (/.f64 t x)) x))
accuracy	0.49999449521112044	(fma.f64 y y (/.f64 t x))
accuracy	10.644825040181418	(*.f64 (fma.f64 y y (/.f64 t x)) x)
accuracy	15.136058400986393	#s(approx (+ (* (+ (* x y) z) y) t) #s(approx (+ (* (* y y) x) t) (*.f64 (fma.f64 y y (/.f64 t x)) x)))
accuracy	0	(fma.f64 y x z)
accuracy	0.08984375	(*.f64 (fma.f64 y x z) y)
accuracy	21.662580465802744	#s(approx (+ (* (+ (* x y) z) y) t) (*.f64 (fma.f64 y x z) y))
accuracy	0	(fma.f64 z y t)
accuracy	23.028947255037775	#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 (+ (* (+ (* x y) z) y) t) (*.f64 (fma.f64 (/.f64 (fma.f64 y x z) t) y #s(literal 1 binary64)) t))
accuracy	1.7539615413771532	(/.f64 (fma.f64 y x z) t)
accuracy	3.1720588862299777	(fma.f64 (/.f64 (fma.f64 y x z) t) y #s(literal 1 binary64))
accuracy	5.204967022545858	(*.f64 (fma.f64 (/.f64 (fma.f64 y x z) t) y #s(literal 1 binary64)) t)

Samples

162.0ms

256×

valid

Compiler

Compiled 282 to 38 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 116.0ms

ival-mult: 77.0ms (66.6% of total)

ival-div: 27.0ms (23.3% of total)

ival-add: 9.0ms (7.8% of total)

ival-sub: 1.0ms (0.9% of total)

ival-neg: 1.0ms (0.9% of total)

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

exact: 0.0ms (0% of total)

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

series94.0ms (1.2%)

Memory

5.7MiB live, 87.4MiB allocated

Counts

19 → 732

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
40.0ms	z	@	inf	((* (+ (* (/ (+ (* y x) z) t) y) 1) t) (+ (* (+ (* x y) z) y) t) (+ (* (/ (+ (* y x) z) t) y) 1) (/ (+ (* y x) z) t) (+ (* (+ (* (* (* x x) y) (/ y (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) t) (+ (* z y) t) (+ (* (+ (* x y) z) y) t) (* (+ (* y x) z) y) (+ (* y x) z) (* (+ (* y y) (/ t x)) x) (+ (* (+ (* x y) z) y) t) (+ (* (* y y) x) t) (+ (* y y) (/ t x)) (* (+ (* (* (* 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) (* x x) (/ z (- (* y x) z)) (/ y (- (* y x) z)))
4.0ms	y	@	inf	((* (+ (* (/ (+ (* y x) z) t) y) 1) t) (+ (* (+ (* x y) z) y) t) (+ (* (/ (+ (* y x) z) t) y) 1) (/ (+ (* y x) z) t) (+ (* (+ (* (* (* x x) y) (/ y (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) t) (+ (* z y) t) (+ (* (+ (* x y) z) y) t) (* (+ (* y x) z) y) (+ (* y x) z) (* (+ (* y y) (/ t x)) x) (+ (* (+ (* x y) z) y) t) (+ (* (* y y) x) t) (+ (* y y) (/ t x)) (* (+ (* (* (* 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) (* x x) (/ z (- (* y x) z)) (/ y (- (* y x) z)))
3.0ms	x	@	-inf	((* (+ (* (/ (+ (* y x) z) t) y) 1) t) (+ (* (+ (* x y) z) y) t) (+ (* (/ (+ (* y x) z) t) y) 1) (/ (+ (* y x) z) t) (+ (* (+ (* (* (* x x) y) (/ y (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) t) (+ (* z y) t) (+ (* (+ (* x y) z) y) t) (* (+ (* y x) z) y) (+ (* y x) z) (* (+ (* y y) (/ t x)) x) (+ (* (+ (* x y) z) y) t) (+ (* (* y y) x) t) (+ (* y y) (/ t x)) (* (+ (* (* (* 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) (* x x) (/ z (- (* y x) z)) (/ y (- (* y x) z)))
3.0ms	y	@	-inf	((* (+ (* (/ (+ (* y x) z) t) y) 1) t) (+ (* (+ (* x y) z) y) t) (+ (* (/ (+ (* y x) z) t) y) 1) (/ (+ (* y x) z) t) (+ (* (+ (* (* (* x x) y) (/ y (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) t) (+ (* z y) t) (+ (* (+ (* x y) z) y) t) (* (+ (* y x) z) y) (+ (* y x) z) (* (+ (* y y) (/ t x)) x) (+ (* (+ (* x y) z) y) t) (+ (* (* y y) x) t) (+ (* y y) (/ t x)) (* (+ (* (* (* 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) (* x x) (/ z (- (* y x) z)) (/ y (- (* y x) z)))
2.0ms	t	@	-inf	((* (+ (* (/ (+ (* y x) z) t) y) 1) t) (+ (* (+ (* x y) z) y) t) (+ (* (/ (+ (* y x) z) t) y) 1) (/ (+ (* y x) z) t) (+ (* (+ (* (* (* x x) y) (/ y (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) t) (+ (* z y) t) (+ (* (+ (* x y) z) y) t) (* (+ (* y x) z) y) (+ (* y x) z) (* (+ (* y y) (/ t x)) x) (+ (* (+ (* x y) z) y) t) (+ (* (* y y) x) t) (+ (* y y) (/ t x)) (* (+ (* (* (* 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) (* x x) (/ z (- (* y x) z)) (/ y (- (* y x) z)))

simplify171.0ms (2.2%)

Memory

-28.5MiB live, 177.7MiB allocated

Algorithm

1×	egg-herbie

Rules

6 690×	`lower-fma.f64`
6 690×	`lower-fma.f32`
5 038×	`lower-*.f64`
5 038×	`lower-*.f32`
2 542×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	669	7872
1	2330	7393
2	7673	7357
0	8063	6777

Stop Event

1×	iter limit
1×	node limit

Counts

732 → 697

Calls

Call 1

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

rewrite276.0ms (3.6%)

Memory

28.2MiB live, 372.0MiB allocated

Rules

8 040×	`lower-fma.f32`
8 030×	`lower-fma.f64`
5 248×	`lower-/.f32`
5 242×	`lower-/.f64`
4 844×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	242
0	71	238
1	266	215
2	1976	215
0	9318	209

Stop Event

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

Counts

19 → 753

Calls

Call 1

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

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

eval382.0ms (5%)

Memory: 10.0MiB live, 558.0MiB allocated
Compiler: Compiled 54 833 to 5 602 computations (89.8% saved)

prune279.0ms (3.6%)

Memory

-34.2MiB live, 460.5MiB allocated

Pruning

14 alts after pruning (8 fresh and 6 done)

	Pruned	Kept	Total
New	1 808	3	1 811
Fresh	0	5	5
Picked	2	3	5
Done	0	3	3
Total	1 810	14	1 824

Accuracy

100.0%

Counts

1 824 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.5%	(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)
▶	56.2%	(fma.f64 (.f64 y y) x #s(approx (+ ( z y) t) (*.f64 z y)))
▶	81.8%	(+.f64 (.f64 (fma.f64 (.f64 (.f64 x x) y) #s(approx (/ y (- ( y x) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (.f64 z #s(approx (/ z (- ( y x) z)) #s(literal -1 binary64))))) y) t)
▶	24.3%	(.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 x y z) y) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 t (-.f64 t (.f64 (fma.f64 x y z) y)) (pow.f64 (.f64 (fma.f64 x y z) y) #s(literal 2 binary64))))))
✓	64.0%	#s(approx (+ (* (+ (* (* (* x x) y) (/ y (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) t) (fma.f64 z y t))
✓	74.5%	#s(approx (+ (* (+ (* x y) z) y) t) (fma.f64 (*.f64 y y) x t))
	73.5%	#s(approx (+ (* (+ (* x y) z) y) t) (.f64 (fma.f64 (/.f64 #s(approx (+ ( y x) z) (*.f64 x y)) t) y #s(literal 1 binary64)) t))
✓	66.0%	#s(approx (+ (* (+ (* x y) z) y) t) (*.f64 (fma.f64 y x z) y))
✓	41.7%	#s(approx (+ (* (+ (* x y) z) y) t) (.f64 (.f64 y y) x))
	43.0%	#s(approx (+ (* (+ (* x y) z) y) t) (.f64 (.f64 x y) y))
▶	35.5%	#s(approx (+ (* (+ (* x y) z) y) t) (.f64 #s(approx (+ ( (/ (+ (* y x) z) t) y) 1) #s(literal 1 binary64)) t))
✓	30.4%	#s(approx (+ (* (+ (* x y) z) y) t) (*.f64 z y))
✓	67.8%	#s(approx (+ (* (+ (* x y) z) y) t) #s(approx (+ (* (* y y) x) t) (*.f64 (fma.f64 y y (/.f64 t x)) x)))
▶	72.3%	#s(approx (+ (* (+ (* x y) z) y) t) #s(approx (+ (* (* y y) x) t) (.f64 (neg.f64 t) (fma.f64 (neg.f64 x) (/.f64 (.f64 y y) t) #s(literal -1 binary64)))))

Compiler

Compiled 275 to 230 computations (16.4% saved)

simplify161.0ms (2.1%)

Memory

25.0MiB live, 173.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 (pow.f64 (*.f64 (fma.f64 x y z) y) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))
cost-diff	0	(neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 x y z) y) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))
cost-diff	128	(/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 t (-.f64 t (.f64 (fma.f64 x y z) y)) (pow.f64 (.f64 (fma.f64 x y z) y) #s(literal 2 binary64)))))
cost-diff	448	(.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 x y z) y) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 t (-.f64 t (.f64 (fma.f64 x y z) y)) (pow.f64 (.f64 (fma.f64 x y z) y) #s(literal 2 binary64))))))
cost-diff	0	(neg.f64 t)
cost-diff	0	#s(approx (+ (* (* y y) x) t) (.f64 (neg.f64 t) (fma.f64 (neg.f64 x) (/.f64 (.f64 y y) t) #s(literal -1 binary64))))
cost-diff	0	#s(approx (+ (* (+ (* x y) z) y) t) #s(approx (+ (* (* y y) x) t) (.f64 (neg.f64 t) (fma.f64 (neg.f64 x) (/.f64 (.f64 y y) t) #s(literal -1 binary64)))))
cost-diff	1280	(.f64 (neg.f64 t) (fma.f64 (neg.f64 x) (/.f64 (.f64 y y) t) #s(literal -1 binary64)))
cost-diff	0	(*.f64 z y)
cost-diff	0	#s(approx (+ (* z y) t) (*.f64 z y))
cost-diff	0	(*.f64 y y)
cost-diff	0	(fma.f64 (.f64 y y) x #s(approx (+ ( z y) t) (*.f64 z y)))
cost-diff	0	#s(approx (+ (* (/ (+ (* y x) z) t) y) 1) #s(literal 1 binary64))
cost-diff	0	(.f64 #s(approx (+ ( (/ (+ (* y x) z) t) y) 1) #s(literal 1 binary64)) t)
cost-diff	0	#s(approx (+ (* (+ (* x y) z) y) t) (.f64 #s(approx (+ ( (/ (+ (* y x) z) t) y) 1) #s(literal 1 binary64)) t))
cost-diff	0	(.f64 (.f64 x x) y)
cost-diff	0	(fma.f64 (.f64 (.f64 x x) y) #s(approx (/ y (- (* y x) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (.f64 z #s(approx (/ z (- ( y x) z)) #s(literal -1 binary64)))))
cost-diff	0	(.f64 (fma.f64 (.f64 (.f64 x x) y) #s(approx (/ y (- ( y x) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (.f64 z #s(approx (/ z (- ( y x) z)) #s(literal -1 binary64))))) y)
cost-diff	128	(+.f64 (.f64 (fma.f64 (.f64 (.f64 x x) y) #s(approx (/ y (- ( y x) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (.f64 z #s(approx (/ z (- ( y x) z)) #s(literal -1 binary64))))) y) t)

Rules

7 478×	`lower-fma.f32`
7 468×	`lower-fma.f64`
3 082×	`lower-*.f32`
3 062×	`lower-*.f64`
1 600×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	487
0	94	484
1	186	481
2	425	476
3	1642	476
4	4965	464
0	8232	451

Stop Event

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

Calls

Call 1

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

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

localize203.0ms (2.7%)

Memory

5.1MiB live, 277.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.3808882651525729	(/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 t (-.f64 t (.f64 (fma.f64 x y z) y)) (pow.f64 (.f64 (fma.f64 x y z) y) #s(literal 2 binary64)))))
accuracy	3.996077236641647	(+.f64 (pow.f64 (*.f64 (fma.f64 x y z) y) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))
accuracy	6.187500000000001	(fma.f64 t (-.f64 t (.f64 (fma.f64 x y z) y)) (pow.f64 (.f64 (fma.f64 x y z) y) #s(literal 2 binary64)))
accuracy	45.51979506643464	(.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 x y z) y) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 t (-.f64 t (.f64 (fma.f64 x y z) y)) (pow.f64 (.f64 (fma.f64 x y z) y) #s(literal 2 binary64))))))
accuracy	2.413104729901545	(fma.f64 (neg.f64 x) (/.f64 (*.f64 y y) t) #s(literal -1 binary64))
accuracy	5.202301122373432	(.f64 (neg.f64 t) (fma.f64 (neg.f64 x) (/.f64 (.f64 y y) t) #s(literal -1 binary64)))
accuracy	7.106308023106149	(/.f64 (*.f64 y y) t)
accuracy	15.136058400986393	#s(approx (+ (* (+ (* x y) z) y) t) #s(approx (+ (* (* y y) x) t) (.f64 (neg.f64 t) (fma.f64 (neg.f64 x) (/.f64 (.f64 y y) t) #s(literal -1 binary64)))))
accuracy	0	(*.f64 z y)
accuracy	0	(*.f64 y y)
accuracy	6.2867207257923345	(fma.f64 (.f64 y y) x #s(approx (+ ( z y) t) (*.f64 z y)))
accuracy	28.152843134200435	#s(approx (+ (* z y) t) (*.f64 z y))
accuracy	0	#s(approx (+ (* (+ (* x y) z) y) t) (.f64 #s(approx (+ ( (/ (+ (* y x) z) t) y) 1) #s(literal 1 binary64)) t))
accuracy	5.204967022545858	(.f64 #s(approx (+ ( (/ (+ (* y x) z) t) y) 1) #s(literal 1 binary64)) t)
accuracy	41.406420521153684	#s(approx (+ (* (/ (+ (* y x) z) t) y) 1) #s(literal 1 binary64))
accuracy	7.580306722150531	(.f64 (.f64 x x) y)
accuracy	10.598080370638412	(fma.f64 (.f64 (.f64 x x) y) #s(approx (/ y (- (* y x) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (.f64 z #s(approx (/ z (- ( y x) z)) #s(literal -1 binary64)))))
accuracy	30.804336945040166	#s(approx (/ y (- (* y x) z)) (/.f64 #s(literal 1 binary64) x))
accuracy	32.51980095111157	#s(approx (/ z (- (* y x) z)) #s(literal -1 binary64))

Samples

136.0ms

256×

valid

Compiler

Compiled 427 to 55 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 112.0ms

ival-add: 36.0ms (32.3% of total)

ival-mult: 32.0ms (28.7% of total)

ival-pow2: 14.0ms (12.5% of total)

ival-div: 11.0ms (9.9% of total)

ival-neg: 8.0ms (7.2% of total)

ival-pow: 7.0ms (6.3% of total)

ival-sub: 2.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

series187.0ms (2.4%)

Memory

25.3MiB live, 315.4MiB allocated

Counts

24 → 912

Calls

Call 1

Inputs
#s(alt (+.f64 (.f64 (fma.f64 (.f64 (.f64 x x) y) #s(approx (/ y (- ( y x) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (.f64 z #s(approx (/ z (- ( y x) z)) #s(literal -1 binary64))))) y) t) (patch (+.f64 (.f64 (fma.f64 (.f64 (.f64 x x) y) #s(approx (/ y (- ( y x) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (.f64 z #s(approx (/ z (- ( y x) z)) #s(literal -1 binary64))))) y) t) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 (.f64 x x) y) #s(approx (/ y (- ( y x) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (.f64 z #s(approx (/ z (- ( y x) z)) #s(literal -1 binary64))))) y) (patch (.f64 (fma.f64 (.f64 (.f64 x x) y) #s(approx (/ y (- ( y x) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (.f64 z #s(approx (/ z (- ( y x) z)) #s(literal -1 binary64))))) y) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (.f64 x x) y) #s(approx (/ y (- (* y x) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (.f64 z #s(approx (/ z (- ( y x) z)) #s(literal -1 binary64))))) (patch (fma.f64 (.f64 (.f64 x x) y) #s(approx (/ y (- (* y x) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (.f64 z #s(approx (/ z (- ( y x) z)) #s(literal -1 binary64))))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) y) (patch (.f64 (.f64 x x) y) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* x y) z) y) t) (.f64 #s(approx (+ ( (/ (+ (* y x) z) t) y) 1) #s(literal 1 binary64)) t)) (patch #s(approx (+ (* (+ (* x y) z) y) t) (.f64 #s(approx (+ ( (/ (+ (* y x) z) t) y) 1) #s(literal 1 binary64)) t)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (+ ( (/ (+ (* y x) z) t) y) 1) #s(literal 1 binary64)) t) (patch (.f64 #s(approx (+ ( (/ (+ (* y x) z) t) y) 1) #s(literal 1 binary64)) t) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (/ (+ (* y x) z) t) y) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (/ (+ (* y x) z) t) y) 1) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 y y) x #s(approx (+ ( z y) t) (.f64 z y))) (patch (fma.f64 (.f64 y y) x #s(approx (+ (* z y) t) (*.f64 z y))) #<representation binary64>) () ())
#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())
#s(alt #s(approx (+ (* z y) t) (.f64 z y)) (patch #s(approx (+ ( z y) t) (*.f64 z y)) #<representation binary64>) () ())
#s(alt (.f64 z y) (patch (.f64 z y) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 t) (fma.f64 (neg.f64 x) (/.f64 (.f64 y y) t) #s(literal -1 binary64))) (patch (.f64 (neg.f64 t) (fma.f64 (neg.f64 x) (/.f64 (.f64 y y) t) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* x y) z) y) t) #s(approx (+ (* (* y y) x) t) (.f64 (neg.f64 t) (fma.f64 (neg.f64 x) (/.f64 (.f64 y y) t) #s(literal -1 binary64))))) (patch #s(approx (+ (* (+ (* x y) z) y) t) #s(approx (+ (* (* y y) x) t) (.f64 (neg.f64 t) (fma.f64 (neg.f64 x) (/.f64 (.f64 y y) t) #s(literal -1 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* y y) x) t) (.f64 (neg.f64 t) (fma.f64 (neg.f64 x) (/.f64 (.f64 y y) t) #s(literal -1 binary64)))) (patch #s(approx (+ (* (* y y) x) t) (.f64 (neg.f64 t) (fma.f64 (neg.f64 x) (/.f64 (.f64 y y) t) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 x y z) y) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 t (-.f64 t (.f64 (fma.f64 x y z) y)) (pow.f64 (.f64 (fma.f64 x y z) y) #s(literal 2 binary64)))))) (patch (.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 x y z) y) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 t (-.f64 t (.f64 (fma.f64 x y z) y)) (pow.f64 (.f64 (fma.f64 x y z) y) #s(literal 2 binary64)))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 t (-.f64 t (.f64 (fma.f64 x y z) y)) (pow.f64 (.f64 (fma.f64 x y z) y) #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 t (-.f64 t (.f64 (fma.f64 x y z) y)) (pow.f64 (.f64 (fma.f64 x y z) y) #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 x y z) y) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (patch (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 x y z) y) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt (+.f64 (pow.f64 (.f64 (fma.f64 x y z) y) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (patch (+.f64 (pow.f64 (.f64 (fma.f64 x y z) y) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ z (- (* y x) z)) #s(literal -1 binary64)) (patch #s(approx (/ z (- (* y x) z)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ y (- (* y x) z)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ y (- (* y x) z)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 y y) t) (patch (/.f64 (.f64 y y) t) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 x) (/.f64 (.f64 y y) t) #s(literal -1 binary64)) (patch (fma.f64 (neg.f64 x) (/.f64 (.f64 y y) t) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 t (-.f64 t (.f64 (fma.f64 x y z) y)) (pow.f64 (.f64 (fma.f64 x y z) y) #s(literal 2 binary64))) (patch (fma.f64 t (-.f64 t (.f64 (fma.f64 x y z) y)) (pow.f64 (.f64 (fma.f64 x y z) y) #s(literal 2 binary64))) #<representation binary64>) () ())

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

Calls

12 calls:

Time	Variable		Point	Expression
29.0ms	x	@	-inf	((+ (* (+ (* (* (* x x) y) (/ y (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) t) (* (+ (* (* (* 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) (+ (* (+ (* x y) z) y) t) (* (+ (* (/ (+ (* y x) z) t) y) 1) t) (+ (* (/ (+ (* y x) z) t) y) 1) (+ (* (* y y) x) (+ (* z y) t)) (* y y) (+ (* z y) t) (* z y) (* (neg t) (+ (* (neg x) (/ (* y y) t)) -1)) (+ (* (+ (* x y) z) y) t) (+ (* (* y y) x) t) (neg t) (* (neg (+ (pow (* (+ (* x y) z) y) 3) (pow t 3))) (/ 1 (neg (+ (* t (- t (* (+ (* x y) z) y))) (pow (* (+ (* x y) z) y) 2))))) (/ 1 (neg (+ (* t (- t (* (+ (* x y) z) y))) (pow (* (+ (* x y) z) y) 2)))) (neg (+ (pow (* (+ (* x y) z) y) 3) (pow t 3))) (+ (pow (* (+ (* x y) z) y) 3) (pow t 3)) (/ z (- (* y x) z)) (/ y (- (* y x) z)) (/ (* y y) t) (+ (* (neg x) (/ (* y y) t)) -1) (+ (* t (- t (* (+ (* x y) z) y))) (pow (* (+ (* x y) z) y) 2)))
23.0ms	z	@	-inf	((+ (* (+ (* (* (* x x) y) (/ y (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) t) (* (+ (* (* (* 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) (+ (* (+ (* x y) z) y) t) (* (+ (* (/ (+ (* y x) z) t) y) 1) t) (+ (* (/ (+ (* y x) z) t) y) 1) (+ (* (* y y) x) (+ (* z y) t)) (* y y) (+ (* z y) t) (* z y) (* (neg t) (+ (* (neg x) (/ (* y y) t)) -1)) (+ (* (+ (* x y) z) y) t) (+ (* (* y y) x) t) (neg t) (* (neg (+ (pow (* (+ (* x y) z) y) 3) (pow t 3))) (/ 1 (neg (+ (* t (- t (* (+ (* x y) z) y))) (pow (* (+ (* x y) z) y) 2))))) (/ 1 (neg (+ (* t (- t (* (+ (* x y) z) y))) (pow (* (+ (* x y) z) y) 2)))) (neg (+ (pow (* (+ (* x y) z) y) 3) (pow t 3))) (+ (pow (* (+ (* x y) z) y) 3) (pow t 3)) (/ z (- (* y x) z)) (/ y (- (* y x) z)) (/ (* y y) t) (+ (* (neg x) (/ (* y y) t)) -1) (+ (* t (- t (* (+ (* x y) z) y))) (pow (* (+ (* x y) z) y) 2)))
23.0ms	x	@	0	((+ (* (+ (* (* (* x x) y) (/ y (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) t) (* (+ (* (* (* 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) (+ (* (+ (* x y) z) y) t) (* (+ (* (/ (+ (* y x) z) t) y) 1) t) (+ (* (/ (+ (* y x) z) t) y) 1) (+ (* (* y y) x) (+ (* z y) t)) (* y y) (+ (* z y) t) (* z y) (* (neg t) (+ (* (neg x) (/ (* y y) t)) -1)) (+ (* (+ (* x y) z) y) t) (+ (* (* y y) x) t) (neg t) (* (neg (+ (pow (* (+ (* x y) z) y) 3) (pow t 3))) (/ 1 (neg (+ (* t (- t (* (+ (* x y) z) y))) (pow (* (+ (* x y) z) y) 2))))) (/ 1 (neg (+ (* t (- t (* (+ (* x y) z) y))) (pow (* (+ (* x y) z) y) 2)))) (neg (+ (pow (* (+ (* x y) z) y) 3) (pow t 3))) (+ (pow (* (+ (* x y) z) y) 3) (pow t 3)) (/ z (- (* y x) z)) (/ y (- (* y x) z)) (/ (* y y) t) (+ (* (neg x) (/ (* y y) t)) -1) (+ (* t (- t (* (+ (* x y) z) y))) (pow (* (+ (* x y) z) y) 2)))
7.0ms	t	@	-inf	((+ (* (+ (* (* (* x x) y) (/ y (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) t) (* (+ (* (* (* 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) (+ (* (+ (* x y) z) y) t) (* (+ (* (/ (+ (* y x) z) t) y) 1) t) (+ (* (/ (+ (* y x) z) t) y) 1) (+ (* (* y y) x) (+ (* z y) t)) (* y y) (+ (* z y) t) (* z y) (* (neg t) (+ (* (neg x) (/ (* y y) t)) -1)) (+ (* (+ (* x y) z) y) t) (+ (* (* y y) x) t) (neg t) (* (neg (+ (pow (* (+ (* x y) z) y) 3) (pow t 3))) (/ 1 (neg (+ (* t (- t (* (+ (* x y) z) y))) (pow (* (+ (* x y) z) y) 2))))) (/ 1 (neg (+ (* t (- t (* (+ (* x y) z) y))) (pow (* (+ (* x y) z) y) 2)))) (neg (+ (pow (* (+ (* x y) z) y) 3) (pow t 3))) (+ (pow (* (+ (* x y) z) y) 3) (pow t 3)) (/ z (- (* y x) z)) (/ y (- (* y x) z)) (/ (* y y) t) (+ (* (neg x) (/ (* y y) t)) -1) (+ (* t (- t (* (+ (* x y) z) y))) (pow (* (+ (* x y) z) y) 2)))
6.0ms	x	@	inf	((+ (* (+ (* (* (* x x) y) (/ y (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) t) (* (+ (* (* (* 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) (+ (* (+ (* x y) z) y) t) (* (+ (* (/ (+ (* y x) z) t) y) 1) t) (+ (* (/ (+ (* y x) z) t) y) 1) (+ (* (* y y) x) (+ (* z y) t)) (* y y) (+ (* z y) t) (* z y) (* (neg t) (+ (* (neg x) (/ (* y y) t)) -1)) (+ (* (+ (* x y) z) y) t) (+ (* (* y y) x) t) (neg t) (* (neg (+ (pow (* (+ (* x y) z) y) 3) (pow t 3))) (/ 1 (neg (+ (* t (- t (* (+ (* x y) z) y))) (pow (* (+ (* x y) z) y) 2))))) (/ 1 (neg (+ (* t (- t (* (+ (* x y) z) y))) (pow (* (+ (* x y) z) y) 2)))) (neg (+ (pow (* (+ (* x y) z) y) 3) (pow t 3))) (+ (pow (* (+ (* x y) z) y) 3) (pow t 3)) (/ z (- (* y x) z)) (/ y (- (* y x) z)) (/ (* y y) t) (+ (* (neg x) (/ (* y y) t)) -1) (+ (* t (- t (* (+ (* x y) z) y))) (pow (* (+ (* x y) z) y) 2)))

simplify555.0ms (7.3%)

Memory

-108.1MiB live, 359.0MiB allocated

Algorithm

1×	egg-herbie

Rules

6 194×	`lower-*.f64`
6 194×	`lower-*.f32`
5 984×	`lower-fma.f64`
5 984×	`lower-fma.f32`
4 160×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1868	18509
1	6501	18154
0	8084	17323

Stop Event

1×	iter limit
1×	node limit

Counts

912 → 878

Calls

Call 1

Inputs
(* 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))))
(/ (* y (+ z (* x y))) t)
(/ (+ t (* y (+ z (* x y)))) t)
(/ (+ t (* y (+ z (* x y)))) t)
(/ (+ t (* y (+ z (* x y)))) 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)) (* y z)))
(* y z)
(+ t (* y z))
(+ t (* y z))
(+ t (* y z))
(* x (pow y 2))
(+ t (* x (pow y 2)))
(+ t (* x (pow y 2)))
(+ t (* x (pow y 2)))
(* y (+ z (* x y)))
(+ t (* y (+ z (* x y))))
(+ t (* y (+ z (* x y))))
(+ t (* y (+ z (* x y))))
(* x (pow y 2))
(+ t (* x (pow y 2)))
(+ t (* x (pow y 2)))
(+ t (* x (pow y 2)))
(* -1 t)
(* -1 t)
(* -1 t)
(* -1 t)
(* y (+ z (* x y)))
(+ t (* y (+ z (* x y))))
(+ t (* y (+ z (* x y))))
(+ t (* y (+ z (* x y))))
(/ -1 (* (pow y 2) (pow (+ z (* x y)) 2)))
(- (* -1 (/ t (* (pow y 3) (pow (+ z (* x y)) 3)))) (/ 1 (* (pow y 2) (pow (+ z (* x y)) 2))))
(- (* t (- (/ (pow t 2) (* (pow y 5) (pow (+ z (* x y)) 5))) (/ 1 (* (pow y 3) (pow (+ z (* x y)) 3))))) (/ 1 (* (pow y 2) (pow (+ z (* x y)) 2))))
(- (* t (- (* (pow t 2) (+ (/ 1 (* (pow y 5) (pow (+ z (* x y)) 5))) (/ t (* (pow y 6) (pow (+ z (* x y)) 6))))) (/ 1 (* (pow y 3) (pow (+ z (* x y)) 3))))) (/ 1 (* (pow y 2) (pow (+ z (* x y)) 2))))
(* -1 (* (pow y 3) (pow (+ z (* x y)) 3)))
(- (* -1 (pow t 3)) (* (pow y 3) (pow (+ z (* x y)) 3)))
(- (* -1 (pow t 3)) (* (pow y 3) (pow (+ z (* x y)) 3)))
(- (* -1 (pow t 3)) (* (pow y 3) (pow (+ z (* x y)) 3)))
(* (pow y 3) (pow (+ z (* x y)) 3))
(+ (* (pow y 3) (pow (+ z (* x y)) 3)) (pow t 3))
(+ (* (pow y 3) (pow (+ z (* x y)) 3)) (pow t 3))
(+ (* (pow y 3) (pow (+ z (* x y)) 3)) (pow t 3))
(/ (pow y 2) t)
(/ (pow y 2) t)
(/ (pow y 2) t)
(/ (pow y 2) t)
(* -1 (/ (* x (pow y 2)) t))
(/ (+ (* -1 t) (* -1 (* x (pow y 2)))) t)
(/ (+ (* -1 t) (* -1 (* x (pow y 2)))) t)
(/ (+ (* -1 t) (* -1 (* x (pow y 2)))) t)
(* (pow y 2) (pow (+ z (* x y)) 2))
(+ (* -1 (* t (* y (+ z (* x y))))) (* (pow y 2) (pow (+ z (* x y)) 2)))
(+ (* t (+ t (* -1 (* y (+ z (* x y)))))) (* (pow y 2) (pow (+ z (* x y)) 2)))
(+ (* t (+ t (* -1 (* y (+ z (* x y)))))) (* (pow y 2) (pow (+ z (* x y)) 2)))
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)))
1
(+ 1 (/ (* y (+ z (* x y))) t))
(+ 1 (/ (* y (+ z (* x y))) t))
(+ 1 (/ (* y (+ z (* x y))) t))
t
(* t (+ 1 (+ (/ (* x (pow y 2)) t) (/ (* y z) t))))
(* t (+ 1 (+ (/ (* x (pow y 2)) t) (/ (* y z) t))))
(* t (+ 1 (+ (/ (* x (pow y 2)) t) (/ (* y z) t))))
t
(* t (+ 1 (/ (* y z) t)))
(* t (+ 1 (/ (* y z) t)))
(* t (+ 1 (/ (* y z) t)))
t
(* t (+ 1 (/ (* x (pow y 2)) t)))
(* t (+ 1 (/ (* x (pow y 2)) t)))
(* t (+ 1 (/ (* x (pow y 2)) 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 (/ (* x (pow y 2)) t)))
(* t (+ 1 (/ (* x (pow y 2)) t)))
(* t (+ 1 (/ (* x (pow y 2)) t)))
(* -1 t)
(* -1 t)
(* -1 t)
(* -1 t)
t
(* t (+ 1 (/ (* y (+ z (* x y))) t)))
(* t (+ 1 (+ (* -1 (/ (* (pow y 2) (pow (+ z (* x y)) 2)) (pow t 2))) (+ (/ (* y (+ z (* x y))) t) (/ (* (pow y 2) (pow (+ z (* x y)) 2)) (pow t 2))))))
(* t (+ 1 (+ (* -1 (/ (* (pow y 2) (pow (+ z (* x y)) 2)) (pow t 2))) (+ (/ (* y (* (+ z (* x y)) (+ (* -1 (* (pow y 2) (pow (+ z (* x y)) 2))) (* (pow y 2) (pow (+ z (* x y)) 2))))) (pow t 3)) (+ (/ (* y (+ z (* x y))) t) (/ (* (pow y 2) (pow (+ z (* x y)) 2)) (pow t 2)))))))
(/ -1 (pow t 2))
(/ (- (* -1 (/ (* y (+ z (* x y))) t)) 1) (pow t 2))
(/ (- (* -1 (/ (+ (* -1 (* (pow y 2) (pow (+ z (* x y)) 2))) (* (pow y 2) (pow (+ z (* x y)) 2))) (pow t 2))) (+ 1 (/ (* y (+ z (* x y))) t))) (pow t 2))
(/ (- (* -1 (/ (+ (* -1 (* (pow y 3) (pow (+ z (* x y)) 3))) (* y (* (+ z (* x y)) (+ (* -1 (* (pow y 2) (pow (+ z (* x y)) 2))) (* (pow y 2) (pow (+ z (* x y)) 2)))))) (pow t 3))) (+ 1 (+ (* -1 (/ (* (pow y 2) (pow (+ z (* x y)) 2)) (pow t 2))) (+ (/ (* y (+ z (* x y))) t) (/ (* (pow y 2) (pow (+ z (* x y)) 2)) (pow t 2)))))) (pow t 2))
(* -1 (pow t 3))
(* (pow t 3) (- (* -1 (/ (* (pow y 3) (pow (+ z (* x y)) 3)) (pow t 3))) 1))
(* (pow t 3) (- (* -1 (/ (* (pow y 3) (pow (+ z (* x y)) 3)) (pow t 3))) 1))
(* (pow t 3) (- (* -1 (/ (* (pow y 3) (pow (+ z (* x y)) 3)) (pow t 3))) 1))
(pow t 3)
(* (pow t 3) (+ 1 (/ (* (pow y 3) (pow (+ z (* x y)) 3)) (pow t 3))))
(* (pow t 3) (+ 1 (/ (* (pow y 3) (pow (+ z (* x y)) 3)) (pow t 3))))
(* (pow t 3) (+ 1 (/ (* (pow y 3) (pow (+ z (* x y)) 3)) (pow t 3))))
(/ (pow y 2) t)
(/ (pow y 2) t)
(/ (pow y 2) t)
(/ (pow y 2) t)
-1
(- (* -1 (/ (* x (pow y 2)) t)) 1)
(- (* -1 (/ (* x (pow y 2)) t)) 1)
(- (* -1 (/ (* x (pow y 2)) t)) 1)
(pow t 2)
(* (pow t 2) (+ 1 (* -1 (/ (* y (+ z (* x y))) t))))
(* (pow t 2) (- (+ 1 (/ (* (pow y 2) (pow (+ z (* x y)) 2)) (pow t 2))) (/ (* y (+ z (* x y))) t)))
(* (pow t 2) (- (+ 1 (/ (* (pow y 2) (pow (+ z (* x y)) 2)) (pow t 2))) (/ (* y (+ z (* x y))) t)))
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)))
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(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (pow y 3) (pow z 3)) (pow t 3)) x)) (* (pow y 3) (+ (* -2 (* y (pow z 2))) (* -1 (* y (pow z 2)))))) x)) (* (pow y 3) (+ (* 2 (* (pow y 2) z)) (* (pow y 2) z)))) x)) (* -1 (pow y 6)))))
(neg.f64 (.f64 (-.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64))) (/.f64 (-.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 z (.f64 y y))) (pow.f64 y #s(literal 3 binary64))) (/.f64 (-.f64 (.f64 (.f64 (.f64 (*.f64 z z) y) #s(literal -3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) x)) x)) x)) (pow.f64 x #s(literal 3 binary64))))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(* -1 (/ (+ (* -1 (/ z y)) (* -1 (/ (pow z 2) (* x (pow y 2))))) x))
(neg.f64 (/.f64 (-.f64 (/.f64 (neg.f64 z) y) (.f64 (/.f64 z (.f64 y y)) (/.f64 z x))) x))
(* -1 (/ (+ (* -1 (/ z y)) (* -1 (/ (- (/ (pow z 3) (* x (pow y 3))) (* -1 (/ (pow z 2) (pow y 2)))) x))) x))
(neg.f64 (/.f64 (-.f64 (/.f64 (neg.f64 z) y) (/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x) (pow.f64 y #s(literal 3 binary64))) (/.f64 (neg.f64 (.f64 z z)) (.f64 y y))) x)) 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))
(neg.f64 (/.f64 (-.f64 (/.f64 (neg.f64 z) y) (/.f64 (.f64 #s(literal -1 binary64) (-.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) x) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) x) (.f64 (/.f64 z y) (/.f64 z y)))) x)) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (* -1 (/ z (* x y))) 1) x))
(neg.f64 (/.f64 (fma.f64 (/.f64 z (*.f64 x y)) #s(literal -1 binary64) #s(literal -1 binary64)) x))
(* -1 (/ (- (* -1 (/ (- (/ (pow z 2) (* x (pow y 2))) (* -1 (/ z y))) x)) 1) x))
(neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 z (.f64 y y)) (/.f64 z x) (.f64 #s(literal 1 binary64) (/.f64 z y))) x) #s(literal -1 binary64) #s(literal -1 binary64)) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) (* x (pow y 3)))) (/ (pow z 2) (pow y 2))) x)) (* -1 (/ z y))) x)) 1) x))
(neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal -1 binary64) (-.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x) (pow.f64 y #s(literal 3 binary64)))) (.f64 (/.f64 z y) (/.f64 z y))) x) (/.f64 z y))) x) #s(literal -1 binary64) #s(literal -1 binary64)) x))
(* -1 (/ (* x (pow y 2)) t))
(neg.f64 (.f64 x (/.f64 (.f64 y y) t)))
(* -1 (* x (+ (/ 1 x) (/ (pow y 2) t))))
(.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 y y) t)))
(* -1 (* x (+ (/ 1 x) (/ (pow y 2) t))))
(.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 y y) t)))
(* -1 (* x (+ (/ 1 x) (/ (pow y 2) t))))
(.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 y y) t)))
(* (pow x 2) (pow y 4))
(.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 x x))
(* (pow x 2) (+ (* -1 (/ (+ (* -2 (* (pow y 3) z)) (* t (pow y 2))) x)) (pow y 4)))
(.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) z) (.f64 t (.f64 y y))) x)) (*.f64 x x))
(* (pow x 2) (+ (* -1 (/ (+ (* -2 (* (pow y 3) z)) (+ (* -1 (/ (+ (* t (- t (* y z))) (* (pow y 2) (pow z 2))) x)) (* t (pow y 2)))) x)) (pow y 4)))
(.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64))) z (-.f64 (.f64 t (.f64 y y)) (/.f64 (fma.f64 (-.f64 t (.f64 z y)) t (.f64 (.f64 z z) (.f64 y y))) x))) x)) (*.f64 x x))
(* (pow x 2) (+ (* -1 (/ (+ (* -2 (* (pow y 3) z)) (+ (* -1 (/ (+ (* t (- t (* y z))) (* (pow y 2) (pow z 2))) x)) (* t (pow y 2)))) x)) (pow y 4)))
(.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64))) z (-.f64 (.f64 t (.f64 y y)) (/.f64 (fma.f64 (-.f64 t (.f64 z y)) t (.f64 (.f64 z z) (.f64 y y))) x))) x)) (*.f64 x x))

rewrite262.0ms (3.4%)

Memory

22.0MiB live, 361.2MiB allocated

Rules

5 086×	`lower-*.f32`
5 066×	`lower-*.f64`
4 800×	`lower-/.f32`
4 794×	`lower-/.f64`
4 396×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	375
0	94	370
1	392	344
2	2749	344
0	9135	333

Stop Event

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

Counts

24 → 587

Calls

Call 1

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

Outputs
(.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(approx (/ y (- (* y x) z)) (pow.f64 x #s(literal -1 binary64))) (.f64 y (.f64 x x)) (.f64 (neg.f64 z) #s(approx (/ z (- ( y x) z)) #s(literal -1 binary64)))) y) #s(literal 2 binary64)) (.f64 t t)) (pow.f64 (fma.f64 (fma.f64 #s(approx (/ y (- ( y x) z)) (pow.f64 x #s(literal -1 binary64))) (.f64 y (.f64 x x)) (.f64 (neg.f64 z) #s(approx (/ z (- ( y x) z)) #s(literal -1 binary64)))) y (neg.f64 t)) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(approx (/ y (- (* y x) z)) (pow.f64 x #s(literal -1 binary64))) (.f64 y (.f64 x x)) (.f64 (neg.f64 z) #s(approx (/ z (- ( y x) z)) #s(literal -1 binary64)))) y) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (pow.f64 (fma.f64 t (-.f64 t (.f64 (fma.f64 #s(approx (/ y (- ( y x) z)) (pow.f64 x #s(literal -1 binary64))) (.f64 y (.f64 x x)) (.f64 (neg.f64 z) #s(approx (/ z (- ( y x) z)) #s(literal -1 binary64)))) y)) (pow.f64 (.f64 (fma.f64 #s(approx (/ y (- ( y x) z)) (pow.f64 x #s(literal -1 binary64))) (.f64 y (.f64 x x)) (.f64 (neg.f64 z) #s(approx (/ z (- ( y x) z)) #s(literal -1 binary64)))) y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (fma.f64 #s(approx (/ y (- (* y x) z)) (pow.f64 x #s(literal -1 binary64))) (.f64 y (.f64 x x)) (.f64 (neg.f64 z) #s(approx (/ z (- ( y x) z)) #s(literal -1 binary64)))) y (neg.f64 t)) (-.f64 (pow.f64 (.f64 (fma.f64 #s(approx (/ y (- ( y x) z)) (pow.f64 x #s(literal -1 binary64))) (.f64 y (.f64 x x)) (.f64 (neg.f64 z) #s(approx (/ z (- ( y x) z)) #s(literal -1 binary64)))) y) #s(literal 2 binary64)) (*.f64 t t))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 t (-.f64 t (.f64 (fma.f64 #s(approx (/ y (- ( y x) z)) (pow.f64 x #s(literal -1 binary64))) (.f64 y (.f64 x x)) (.f64 (neg.f64 z) #s(approx (/ z (- ( y x) z)) #s(literal -1 binary64)))) y)) (pow.f64 (.f64 (fma.f64 #s(approx (/ y (- ( y x) z)) (pow.f64 x #s(literal -1 binary64))) (.f64 y (.f64 x x)) (.f64 (neg.f64 z) #s(approx (/ z (- ( y x) z)) #s(literal -1 binary64)))) y) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 #s(approx (/ y (- ( y x) z)) (pow.f64 x #s(literal -1 binary64))) (.f64 y (.f64 x x)) (.f64 (neg.f64 z) #s(approx (/ z (- ( y x) z)) #s(literal -1 binary64)))) y) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (.f64 t t) (pow.f64 (.f64 (fma.f64 #s(approx (/ y (- (* y x) z)) (pow.f64 x #s(literal -1 binary64))) (.f64 y (.f64 x x)) (.f64 (neg.f64 z) #s(approx (/ z (- ( y x) z)) #s(literal -1 binary64)))) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 t (.f64 (fma.f64 #s(approx (/ y (- ( y x) z)) (pow.f64 x #s(literal -1 binary64))) (.f64 y (.f64 x x)) (.f64 (neg.f64 z) #s(approx (/ z (- ( y x) z)) #s(literal -1 binary64)))) y))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(approx (/ y (- ( y x) z)) (pow.f64 x #s(literal -1 binary64))) (.f64 y (.f64 x x)) (.f64 (neg.f64 z) #s(approx (/ z (- ( y x) z)) #s(literal -1 binary64)))) y) #s(literal 2 binary64)) (.f64 t t)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 #s(approx (/ y (- ( y x) z)) (pow.f64 x #s(literal -1 binary64))) (.f64 y (.f64 x x)) (.f64 (neg.f64 z) #s(approx (/ z (- ( y x) z)) #s(literal -1 binary64)))) y (neg.f64 t)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(approx (/ y (- ( y x) z)) (pow.f64 x #s(literal -1 binary64))) (.f64 y (.f64 x x)) (.f64 (neg.f64 z) #s(approx (/ z (- ( y x) z)) #s(literal -1 binary64)))) y) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 t (-.f64 t (.f64 (fma.f64 #s(approx (/ y (- ( y x) z)) (pow.f64 x #s(literal -1 binary64))) (.f64 y (.f64 x x)) (.f64 (neg.f64 z) #s(approx (/ z (- ( y x) z)) #s(literal -1 binary64)))) y)) (pow.f64 (.f64 (fma.f64 #s(approx (/ y (- ( y x) z)) (pow.f64 x #s(literal -1 binary64))) (.f64 y (.f64 x x)) (.f64 (neg.f64 z) #s(approx (/ z (- ( y x) z)) #s(literal -1 binary64)))) y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (fma.f64 #s(approx (/ y (- (* y x) z)) (pow.f64 x #s(literal -1 binary64))) (.f64 y (.f64 x x)) (.f64 (neg.f64 z) #s(approx (/ z (- ( y x) z)) #s(literal -1 binary64)))) y) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(approx (/ y (- (* y x) z)) (pow.f64 x #s(literal -1 binary64))) (.f64 y (.f64 x x)) (.f64 (neg.f64 z) #s(approx (/ z (- ( y x) z)) #s(literal -1 binary64)))) y (neg.f64 t))) (.f64 (fma.f64 (fma.f64 #s(approx (/ y (- ( y x) z)) (pow.f64 x #s(literal -1 binary64))) (.f64 y (.f64 x x)) (.f64 (neg.f64 z) #s(approx (/ z (- ( y x) z)) #s(literal -1 binary64)))) y (neg.f64 t)) (.f64 t t))) (.f64 (fma.f64 (fma.f64 #s(approx (/ y (- (* y x) z)) (pow.f64 x #s(literal -1 binary64))) (.f64 y (.f64 x x)) (.f64 (neg.f64 z) #s(approx (/ z (- ( y x) z)) #s(literal -1 binary64)))) y (neg.f64 t)) (fma.f64 (fma.f64 #s(approx (/ y (- (* y x) z)) (pow.f64 x #s(literal -1 binary64))) (.f64 y (.f64 x x)) (.f64 (neg.f64 z) #s(approx (/ z (- ( y x) z)) #s(literal -1 binary64)))) y (neg.f64 t))))
(/.f64 (-.f64 (.f64 t t) (pow.f64 (.f64 (fma.f64 #s(approx (/ y (- (* y x) z)) (pow.f64 x #s(literal -1 binary64))) (.f64 y (.f64 x x)) (.f64 (neg.f64 z) #s(approx (/ z (- ( y x) z)) #s(literal -1 binary64)))) y) #s(literal 2 binary64))) (-.f64 t (.f64 (fma.f64 #s(approx (/ y (- ( y x) z)) (pow.f64 x #s(literal -1 binary64))) (.f64 y (.f64 x x)) (.f64 (neg.f64 z) #s(approx (/ z (- ( y x) z)) #s(literal -1 binary64)))) y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(approx (/ y (- ( y x) z)) (pow.f64 x #s(literal -1 binary64))) (.f64 y (.f64 x x)) (.f64 (neg.f64 z) #s(approx (/ z (- ( y x) z)) #s(literal -1 binary64)))) y) #s(literal 2 binary64)) (.f64 t t))) (neg.f64 (fma.f64 (fma.f64 #s(approx (/ y (- ( y x) z)) (pow.f64 x #s(literal -1 binary64))) (.f64 y (.f64 x x)) (.f64 (neg.f64 z) #s(approx (/ z (- ( y x) z)) #s(literal -1 binary64)))) y (neg.f64 t))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(approx (/ y (- ( y x) z)) (pow.f64 x #s(literal -1 binary64))) (.f64 y (.f64 x x)) (.f64 (neg.f64 z) #s(approx (/ z (- ( y x) z)) #s(literal -1 binary64)))) y) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (fma.f64 t t (-.f64 (pow.f64 (.f64 (fma.f64 #s(approx (/ y (- ( y x) z)) (pow.f64 x #s(literal -1 binary64))) (.f64 y (.f64 x x)) (.f64 (neg.f64 z) #s(approx (/ z (- ( y x) z)) #s(literal -1 binary64)))) y) #s(literal 2 binary64)) (.f64 (fma.f64 #s(approx (/ y (- ( y x) z)) (pow.f64 x #s(literal -1 binary64))) (.f64 y (.f64 x x)) (.f64 (neg.f64 z) #s(approx (/ z (- ( y x) z)) #s(literal -1 binary64)))) (*.f64 y t))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(approx (/ y (- ( y x) z)) (pow.f64 x #s(literal -1 binary64))) (.f64 y (.f64 x x)) (.f64 (neg.f64 z) #s(approx (/ z (- ( y x) z)) #s(literal -1 binary64)))) y) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (fma.f64 t (-.f64 t (.f64 (fma.f64 #s(approx (/ y (- ( y x) z)) (pow.f64 x #s(literal -1 binary64))) (.f64 y (.f64 x x)) (.f64 (neg.f64 z) #s(approx (/ z (- ( y x) z)) #s(literal -1 binary64)))) y)) (pow.f64 (.f64 (fma.f64 #s(approx (/ y (- ( y x) z)) (pow.f64 x #s(literal -1 binary64))) (.f64 y (.f64 x x)) (.f64 (neg.f64 z) #s(approx (/ z (- ( y x) z)) #s(literal -1 binary64)))) y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(approx (/ y (- ( y x) z)) (pow.f64 x #s(literal -1 binary64))) (.f64 y (.f64 x x)) (.f64 (neg.f64 z) #s(approx (/ z (- ( y x) z)) #s(literal -1 binary64)))) y) #s(literal 2 binary64)) (.f64 t t)) (fma.f64 (fma.f64 #s(approx (/ y (- ( y x) z)) (pow.f64 x #s(literal -1 binary64))) (.f64 y (.f64 x x)) (.f64 (neg.f64 z) #s(approx (/ z (- ( y x) z)) #s(literal -1 binary64)))) y (neg.f64 t)))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(approx (/ y (- ( y x) z)) (pow.f64 x #s(literal -1 binary64))) (.f64 y (.f64 x x)) (.f64 (neg.f64 z) #s(approx (/ z (- ( y x) z)) #s(literal -1 binary64)))) y) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (fma.f64 t t (-.f64 (pow.f64 (.f64 (fma.f64 #s(approx (/ y (- ( y x) z)) (pow.f64 x #s(literal -1 binary64))) (.f64 y (.f64 x x)) (.f64 (neg.f64 z) #s(approx (/ z (- ( y x) z)) #s(literal -1 binary64)))) y) #s(literal 2 binary64)) (.f64 (fma.f64 #s(approx (/ y (- ( y x) z)) (pow.f64 x #s(literal -1 binary64))) (.f64 y (.f64 x x)) (.f64 (neg.f64 z) #s(approx (/ z (- ( y x) z)) #s(literal -1 binary64)))) (*.f64 y t)))))
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eval267.0ms (3.5%)

Memory: 12.5MiB live, 502.2MiB allocated
Compiler: Compiled 49 202 to 4 763 computations (90.3% saved)

prune199.0ms (2.6%)

Memory

9.2MiB live, 326.2MiB allocated

Pruning

14 alts after pruning (5 fresh and 9 done)

	Pruned	Kept	Total
New	1 480	3	1 483
Fresh	1	2	3
Picked	2	3	5
Done	0	6	6
Total	1 483	14	1 497

Accuracy

100.0%

Counts

1 497 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.5%	(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)
✓	56.2%	(fma.f64 (.f64 y y) x #s(approx (+ ( z y) t) (*.f64 z y)))
	57.6%	(fma.f64 (sqrt.f64 (.f64 (fma.f64 y x z) y)) (sqrt.f64 (.f64 (fma.f64 y x z) y)) t)
✓	81.8%	(+.f64 (.f64 (fma.f64 (.f64 (.f64 x x) y) #s(approx (/ y (- ( y x) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (.f64 z #s(approx (/ z (- ( y x) z)) #s(literal -1 binary64))))) y) t)
✓	64.0%	#s(approx (+ (* (+ (* (* (* x x) y) (/ y (- (* y x) z))) (neg (* z (/ z (- (* y x) z))))) y) t) (fma.f64 z y t))
✓	74.5%	#s(approx (+ (* (+ (* x y) z) y) t) (fma.f64 (*.f64 y y) x t))
✓	66.0%	#s(approx (+ (* (+ (* x y) z) y) t) (*.f64 (fma.f64 y x z) y))
✓	41.7%	#s(approx (+ (* (+ (* x y) z) y) t) (.f64 (.f64 y y) x))
	43.0%	#s(approx (+ (* (+ (* x y) z) y) t) (.f64 (.f64 x y) y))
	39.5%	#s(approx (+ (* (+ (* x y) z) y) t) (.f64 #s(approx (+ ( (/ (+ (* y x) z) t) y) 1) (.f64 x (/.f64 (.f64 y y) t))) t))
✓	35.5%	#s(approx (+ (* (+ (* x y) z) y) t) (.f64 #s(approx (+ ( (/ (+ (* y x) z) t) y) 1) #s(literal 1 binary64)) t))
✓	30.4%	#s(approx (+ (* (+ (* x y) z) y) t) (*.f64 z y))
	65.5%	#s(approx (+ (* (+ (* x y) z) y) t) #s(approx (+ (* (* y y) x) t) (fma.f64 (/.f64 (.f64 y y) t) (.f64 (neg.f64 x) (neg.f64 t)) (*.f64 #s(literal 1 binary64) t))))
✓	67.8%	#s(approx (+ (* (+ (* x y) z) y) t) #s(approx (+ (* (* y y) x) t) (*.f64 (fma.f64 y y (/.f64 t x)) x)))

Compiler

Compiled 511 to 248 computations (51.5% saved)

regimes57.0ms (0.7%)

Memory

-44.7MiB live, 94.5MiB allocated

Counts

27 → 1

Calls

Call 1

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

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

Calls

6 calls:

12.0ms	t
10.0ms	x
9.0ms	(.f64 (+.f64 (.f64 x y) z) y)
8.0ms	z
8.0ms	y

Results

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

Compiler

Compiled 20 to 31 computations (-55% saved)

regimes23.0ms (0.3%)

Memory

8.9MiB live, 46.9MiB allocated

Counts

9 → 3

Calls

Call 1

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

5.0ms	y
4.0ms	t
4.0ms	z
4.0ms	x
3.0ms	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)

Results

Accuracy	Segments	Branch
84.2%	3	`x`
91.9%	3	`y`
85.7%	3	`z`
88.2%	3	`t`
85.6%	3	`(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)`
92.8%	3	`(.f64 (+.f64 (.f64 x y) z) y)`

Compiler

Compiled 20 to 31 computations (-55% saved)

regimes18.0ms (0.2%)

Memory

3.3MiB live, 41.5MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
73.4%	3	`x`
77.6%	3	`(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)`
69.3%	3	`z`
68.5%	3	`t`
81.2%	3	`y`
79.9%	3	`(.f64 (+.f64 (.f64 x y) z) y)`

Compiler

Compiled 20 to 31 computations (-55% saved)

regimes3.0ms (0%)

Memory

7.6MiB live, 7.6MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
80.5%	3	`y`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes17.0ms (0.2%)

Memory

-7.0MiB live, 32.9MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

6 calls:

6.0ms	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
2.0ms	x
2.0ms	y
2.0ms	z
2.0ms	t

Results

Accuracy	Segments	Branch
64.0%	1	`t`
64.0%	1	`z`
64.0%	1	`x`
64.0%	1	`(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)`
64.0%	1	`(.f64 (+.f64 (.f64 x y) z) y)`
64.0%	1	`y`

Compiler

Compiled 20 to 31 computations (-55% saved)

regimes26.0ms (0.3%)

Memory

-15.8MiB live, 22.8MiB allocated

Counts

2 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

18.0ms	x
2.0ms	y
2.0ms	z
2.0ms	(.f64 (+.f64 (.f64 x y) z) y)
2.0ms	t

Results

Accuracy	Segments	Branch
35.5%	1	`x`
49.8%	3	`z`
50.5%	3	`y`
47.5%	3	`(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)`
53.1%	3	`(.f64 (+.f64 (.f64 x y) z) y)`
51.7%	3	`t`

Compiler

Compiled 20 to 31 computations (-55% saved)

regimes9.0ms (0.1%)

Memory

19.5MiB live, 19.5MiB 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	x
1.0ms	t
1.0ms	(.f64 (+.f64 (.f64 x y) z) y)

Results

Accuracy	Segments	Branch
30.4%	1	`x`
30.4%	1	`(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)`
30.4%	1	`z`
30.4%	1	`y`
30.4%	1	`t`
30.4%	1	`(.f64 (+.f64 (.f64 x y) z) y)`

Compiler

Compiled 20 to 31 computations (-55% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.472094917443846e+61	2.8947388219196066e+64
0.0ms	-1.2132780798027032e+108	-6.802544758482709e+96

Compiler

Compiled 12 to 15 computations (-25% saved)

bsearch47.0ms (0.6%)

Memory

-2.3MiB live, 35.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
33.0ms	5.008231684099177e+31	3.208715819671091e+32
11.0ms	-4.3628445224201384e+51	-6.413098327306648e+45

Samples

36.0ms

240×

valid

Compiler

Compiled 177 to 240 computations (-35.6% saved)

Precisions

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

ival-mult: 3.0ms (58.2% of total)

ival-add: 2.0ms (38.8% of total)

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

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

bsearch2.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	5.008231684099177e+31	3.208715819671091e+32
1.0ms	-4.3628445224201384e+51	-6.413098327306648e+45

Compiler

Compiled 177 to 240 computations (-35.6% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.472094917443846e+61	2.8947388219196066e+64
0.0ms	-2.2655631198386298e+215	-5.476551532771027e+213

Compiler

Compiled 12 to 15 computations (-25% saved)

simplify43.0ms (0.6%)

Memory

6.0MiB live, 43.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	277
1	63	277

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
(if (<=.f64 (.f64 (+.f64 (.f64 x y) z) y) #s(literal -1000000000000000033998991713002824594943974719712898047713430714837875271723200833292741616380733445921308672 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 19999999999999998987742705941480377339272900220268201461678080 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 y #s(literal -9999999999999999464902769475481793196872414789632 binary64)) #s(approx (+ (* (+ (* x y) z) y) t) (.f64 (.f64 x y) y)) (if (<=.f64 y #s(literal 255000000000000001974354590040064 binary64)) #s(approx (+ (* (+ (* x y) z) y) t) (fma.f64 z y t)) #s(approx (+ (* (+ (* x y) z) y) t) (.f64 (.f64 y y) x))))
(if (<=.f64 y #s(literal -9999999999999999464902769475481793196872414789632 binary64)) #s(approx (+ (* (+ (* x y) z) y) t) (.f64 (.f64 x y) y)) (if (<=.f64 y #s(literal 255000000000000001974354590040064 binary64)) #s(approx (+ (* (+ (* x y) z) y) t) (fma.f64 z y t)) #s(approx (+ (* (+ (* x y) z) y) t) (.f64 (.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 -199999999999999981320793872902098815305578192778804212637380338028461654835030680366974488760596213655036102072030828525575525759255608331297868468446433897305811987841093809994261651383581507831651073547206947504128 binary64)) #s(approx (+ (* (+ (* x y) z) y) t) (.f64 z y)) (if (<=.f64 (.f64 (+.f64 (.f64 x y) z) y) #s(literal 19999999999999998987742705941480377339272900220268201461678080 binary64)) #s(approx (+ ( (+ (* x y) z) y) t) (.f64 #s(approx (+ ( (/ (+ (* y x) 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
(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
(+.f64 t (.f64 (+.f64 z (.f64 y x)) y))
(if (<=.f64 (.f64 (+.f64 (.f64 x y) z) y) #s(literal -1000000000000000033998991713002824594943974719712898047713430714837875271723200833292741616380733445921308672 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 19999999999999998987742705941480377339272900220268201461678080 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 z (.f64 y x)) y) #s(literal -1000000000000000033998991713002824594943974719712898047713430714837875271723200833292741616380733445921308672 binary64)) #s(approx (+ (* (+ (* x y) z) y) t) (.f64 (fma.f64 x y z) y)) (if (<=.f64 (.f64 (+.f64 z (.f64 y x)) y) #s(literal 19999999999999998987742705941480377339272900220268201461678080 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 y #s(literal -9999999999999999464902769475481793196872414789632 binary64)) #s(approx (+ (* (+ (* x y) z) y) t) (.f64 (.f64 x y) y)) (if (<=.f64 y #s(literal 255000000000000001974354590040064 binary64)) #s(approx (+ (* (+ (* x y) z) y) t) (fma.f64 z y t)) #s(approx (+ (* (+ (* x y) z) y) t) (.f64 (.f64 y y) x))))
(if (<=.f64 y #s(literal -9999999999999999464902769475481793196872414789632 binary64)) #s(approx (+ (* (+ (* x y) z) y) t) (.f64 (.f64 y x) y)) (if (<=.f64 y #s(literal 255000000000000001974354590040064 binary64)) #s(approx (+ (* (+ (* x y) z) y) t) (fma.f64 z y t)) #s(approx (+ (* (+ (* x y) z) y) t) (.f64 (.f64 y y) x))))
(if (<=.f64 y #s(literal -9999999999999999464902769475481793196872414789632 binary64)) #s(approx (+ (* (+ (* x y) z) y) t) (.f64 (.f64 x y) y)) (if (<=.f64 y #s(literal 255000000000000001974354590040064 binary64)) #s(approx (+ (* (+ (* x y) z) y) t) (fma.f64 z y t)) #s(approx (+ (* (+ (* x y) z) y) t) (.f64 (.f64 x y) y))))
(if (<=.f64 y #s(literal -9999999999999999464902769475481793196872414789632 binary64)) #s(approx (+ (* (+ (* x y) z) y) t) (.f64 (.f64 y x) y)) (if (<=.f64 y #s(literal 255000000000000001974354590040064 binary64)) #s(approx (+ (* (+ (* x y) z) y) t) (fma.f64 z y t)) #s(approx (+ (* (+ (* x y) z) y) t) (.f64 (.f64 y x) y))))
#s(approx (+ (* (+ (* x y) z) y) t) (fma.f64 z y t))
(if (<=.f64 (.f64 (+.f64 (.f64 x y) z) y) #s(literal -199999999999999981320793872902098815305578192778804212637380338028461654835030680366974488760596213655036102072030828525575525759255608331297868468446433897305811987841093809994261651383581507831651073547206947504128 binary64)) #s(approx (+ (* (+ (* x y) z) y) t) (.f64 z y)) (if (<=.f64 (.f64 (+.f64 (.f64 x y) z) y) #s(literal 19999999999999998987742705941480377339272900220268201461678080 binary64)) #s(approx (+ ( (+ (* x y) z) y) t) (.f64 #s(approx (+ ( (/ (+ (* y x) z) t) y) 1) #s(literal 1 binary64)) t)) #s(approx (+ (* (+ (* x y) z) y) t) (*.f64 z y))))
(if (<=.f64 (.f64 (+.f64 z (.f64 y x)) y) #s(literal -199999999999999981320793872902098815305578192778804212637380338028461654835030680366974488760596213655036102072030828525575525759255608331297868468446433897305811987841093809994261651383581507831651073547206947504128 binary64)) #s(approx (+ (* (+ (* x y) z) y) t) (.f64 z y)) (if (<=.f64 (.f64 (+.f64 z (.f64 y x)) y) #s(literal 19999999999999998987742705941480377339272900220268201461678080 binary64)) #s(approx (+ ( (+ (* x y) z) y) t) (.f64 #s(approx (+ ( (/ (+ (* y x) 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))

soundness838.0ms (10.9%)

Memory

20.2MiB live, 634.6MiB allocated

Rules

8 672×	`lower-fma.f64`
8 672×	`lower-fma.f32`
7 268×	`lower-fma.f64`
7 268×	`lower-fma.f32`
6 690×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	178
0	46	160
1	189	124
2	1476	124
0	8153	112
0	669	7872
1	2330	7393
2	7673	7357
0	8063	6777
0	93	840
1	335	840
2	1007	840
3	2705	832
4	5621	832
0	8108	710
0	716	6703
1	2450	6124
2	7880	6082
0	8342	5637

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×	node limit
1×	iter limit

Compiler

Compiled 213 to 131 computations (38.5% saved)

preprocess64.0ms (0.8%)

Memory: 16.7MiB live, 161.7MiB allocated
Compiler: Compiled 298 to 100 computations (66.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample642.0ms (8.4%)

explain75.0ms (1%)

preprocess128.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize28.0ms (0.4%)

series29.0ms (0.4%)

simplify136.0ms (1.8%)

rewrite181.0ms (2.4%)

eval53.0ms (0.7%)

prune54.0ms (0.7%)

simplify533.0ms (7%)

localize100.0ms (1.3%)

series347.0ms (4.5%)

simplify166.0ms (2.2%)

rewrite268.0ms (3.5%)

eval221.0ms (2.9%)

prune158.0ms (2.1%)

simplify162.0ms (2.1%)

localize184.0ms (2.4%)

series94.0ms (1.2%)

simplify171.0ms (2.2%)

rewrite276.0ms (3.6%)

eval382.0ms (5%)

prune279.0ms (3.6%)

simplify161.0ms (2.1%)

localize203.0ms (2.7%)

series187.0ms (2.4%)

simplify555.0ms (7.3%)

rewrite262.0ms (3.4%)

eval267.0ms (3.5%)

prune199.0ms (2.6%)

regimes57.0ms (0.7%)

regimes23.0ms (0.3%)

regimes18.0ms (0.2%)

regimes3.0ms (0%)

regimes17.0ms (0.2%)

regimes26.0ms (0.3%)

regimes9.0ms (0.1%)

bsearch1.0ms (0%)

bsearch47.0ms (0.6%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

simplify43.0ms (0.6%)

soundness838.0ms (10.9%)

preprocess64.0ms (0.8%)

end0.0ms (0%)

Profiling