Metrics for Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, B

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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 15 to 15 computations (0% saved)

sample1.2s (27%)

Memory

30.5MiB live, 1 042.2MiB allocated

Samples

790.0ms	8 253×	0	valid
0.0ms	1×	3	valid
0.0ms	1×	2	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 502.0ms

ival-div: 218.0ms (43.4% of total)

ival-mult: 149.0ms (29.7% of total)

ival-sub: 78.0ms (15.5% of total)

ival-add: 37.0ms (7.4% of total)

exact: 11.0ms (2.2% of total)

ival-true: 6.0ms (1.2% of total)

ival-assert: 3.0ms (0.6% of total)

adjust: 0.0ms (0% of total)

Bogosity

preprocess150.0ms (3.5%)

Memory

14.3MiB live, 130.8MiB allocated

Algorithm

1×	egg-herbie

Rules

704×	`lower-fma.f64`
704×	`lower-fma.f32`
664×	`sub-neg`
350×	`unsub-neg`
342×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	164
1	164	155
2	405	154
3	1042	154
4	2188	154
5	2948	154
6	3153	154
7	3176	154
8	3183	154
9	3183	154
10	3185	154
11	3191	154
0	13	11
0	20	11
1	31	11
2	57	11
3	108	11
4	189	11
5	315	11
6	486	11
7	666	11
8	798	11
9	800	11
0	800	9

Stop Event

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

Calls

Call 1

Inputs
(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)

Outputs

(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)

(fma.f64 #s(literal 1/8 binary64) x (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) t))

Symmetry

(sort y z)

explain203.0ms (4.7%)

Memory

2.9MiB live, 279.8MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
-	-	`#s(literal 8 binary64)`
-	-	`t`
-	-	`#s(literal 1 binary64)`
-	-	`z`
-	-	`#s(literal 2 binary64)`
-	-	`y`
-	-	`(/.f64 #s(literal 1 binary64) #s(literal 8 binary64))`
-	-	`(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)`
-	-	`(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))`
-	-	`(*.f64 y z)`
-	-	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)`
-	-	`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

48.0ms	510×	0	valid
0.0ms	2×	3	valid

Compiler

Compiled 132 to 56 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-div: 11.0ms (41.6% of total)

ival-mult: 9.0ms (34% of total)

ival-sub: 2.0ms (7.6% of total)

ival-add: 2.0ms (7.6% of total)

exact: 1.0ms (3.8% of total)

adjust: 0.0ms (0% of total)

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

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify34.0ms (0.8%)

Memory

16.1MiB live, 55.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))
✓	cost-diff	128	(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)
✓	cost-diff	384	(/.f64 (*.f64 y z) #s(literal 2 binary64))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 8 binary64))

Rules

704×	`lower-fma.f64`
704×	`lower-fma.f32`
320×	`lower-*.f32`
316×	`lower-*.f64`
160×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	39
0	20	39
1	31	39
2	57	39
3	108	39
4	189	39
5	315	39
6	486	39
7	666	39
8	798	39
9	800	39
0	800	36

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)
(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
(/.f64 #s(literal 1 binary64) #s(literal 8 binary64))
#s(literal 1 binary64)
#s(literal 8 binary64)
x
(/.f64 (*.f64 y z) #s(literal 2 binary64))
(*.f64 y z)
y
z
#s(literal 2 binary64)
t

Outputs
(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) t))
(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/8 binary64) x (.f64 z (.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
(*.f64 #s(literal 1/8 binary64) x)
(/.f64 #s(literal 1 binary64) #s(literal 8 binary64))
#s(literal 1/8 binary64)
#s(literal 1 binary64)
#s(literal 8 binary64)
x
(/.f64 (*.f64 y z) #s(literal 2 binary64))
(.f64 z (.f64 y #s(literal 1/2 binary64)))
(*.f64 y z)
y
z
#s(literal 2 binary64)
t

localize34.0ms (0.8%)

Memory

-0.8MiB live, 78.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	100.0%	(/.f64 (*.f64 y z) #s(literal 2 binary64))
✓	accuracy	100.0%	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))
✓	accuracy	100.0%	(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)

Samples

21.0ms	255×	0	valid
0.0ms	1×	3	valid

Compiler

Compiled 49 to 15 computations (69.4% saved)

Precisions

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

ival-div: 4.0ms (38.6% of total)

ival-mult: 3.0ms (29% of total)

ival-sub: 2.0ms (19.3% of total)

ival-add: 1.0ms (9.7% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series17.0ms (0.4%)

Memory

-37.4MiB live, 17.8MiB allocated

Counts

5 → 132

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) (patch (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 y z) (patch (.f64 y z) #<representation binary64>) () ())

Outputs
#s(alt (* 1/2 (* y z)) (taylor 0 y) (#s(alt (/.f64 (.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor 0 y) (#s(alt (/.f64 (.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor 0 y) (#s(alt (/.f64 (.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor 0 y) (#s(alt (/.f64 (.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor inf y) (#s(alt (/.f64 (.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor inf y) (#s(alt (/.f64 (.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor inf y) (#s(alt (/.f64 (.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor inf y) (#s(alt (/.f64 (.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor -inf y) (#s(alt (/.f64 (.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor -inf y) (#s(alt (/.f64 (.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor -inf y) (#s(alt (/.f64 (.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor -inf y) (#s(alt (/.f64 (.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor 0 z) (#s(alt (/.f64 (.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor 0 z) (#s(alt (/.f64 (.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor 0 z) (#s(alt (/.f64 (.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor 0 z) (#s(alt (/.f64 (.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor inf z) (#s(alt (/.f64 (.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor inf z) (#s(alt (/.f64 (.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor inf z) (#s(alt (/.f64 (.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor inf z) (#s(alt (/.f64 (.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor -inf z) (#s(alt (/.f64 (.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor -inf z) (#s(alt (/.f64 (.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor -inf z) (#s(alt (/.f64 (.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* y z)) (taylor -inf z) (#s(alt (/.f64 (.f64 y z) #s(literal 2 binary64)) (patch (/.f64 (.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- t (* 1/2 (* y z))) (taylor 0 x) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 x) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 x) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (- (+ t (* 1/8 x)) (* 1/2 (* y z))) (taylor 0 x) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor inf x) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) (taylor inf x) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) (taylor inf x) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x)))) (taylor inf x) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor -inf x) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8))) (taylor -inf x) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (+ t (* 1/8 x)) (taylor 0 y) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 y) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 y) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (+ t (+ (* -1/2 (* y z)) (* 1/8 x))) (taylor 0 y) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* y z)) (taylor inf y) (#s(alt (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) (patch (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z)))) (taylor -inf y) (#s(alt (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z)))) (taylor -inf y) (#s(alt (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/8 x) (taylor 0 z) (#s(alt (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* y z)) (* 1/8 x)) (taylor 0 z) (#s(alt (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* y z)) (* 1/8 x)) (taylor 0 z) (#s(alt (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* y z)) (* 1/8 x)) (taylor 0 z) (#s(alt (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* y z)) (taylor inf z) (#s(alt (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 1/8 (/ x z)) (* 1/2 y))) (taylor inf z) (#s(alt (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 1/8 (/ x z)) (* 1/2 y))) (taylor inf z) (#s(alt (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 1/8 (/ x z)) (* 1/2 y))) (taylor inf z) (#s(alt (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* y z)) (taylor -inf z) (#s(alt (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y)))) (taylor -inf z) (#s(alt (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y)))) (taylor -inf z) (#s(alt (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y)))) (taylor -inf z) (#s(alt (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) (patch (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 y) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 y) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 y) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 y) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf y) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf y) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf y) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf y) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf y) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf y) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf y) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf y) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf z) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf z) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf z) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf z) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf z) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf z) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf z) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf z) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation binary64>) () ())) ())

Calls

33 calls:

Time	Variable		Point	Expression
7.0ms	y	@	inf	(/ (* y z) 2)
1.0ms	x	@	inf	(+ (- (* (/ 1 8) x) (/ (* y z) 2)) t)
1.0ms	z	@	0	(/ (* y z) 2)
1.0ms	y	@	0	(/ (* y z) 2)
0.0ms	z	@	inf	(/ (* y z) 2)

simplify458.0ms (10.6%)

Memory

1.4MiB live, 317.6MiB allocated

Algorithm

1×	egg-herbie

Rules

10 994×	`lower-fma.f64`
10 994×	`lower-fma.f32`
2 884×	`lower-*.f64`
2 884×	`lower-*.f32`
1 240×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	922
1	241	922
2	633	922
3	1919	922
4	5140	922
0	8110	819

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 130

Calls

Call 1

Inputs
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(* 1/2 (* y z))
(- t (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(* 1/8 x)
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* 1/8 x)
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(+ t (* 1/8 x))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(* -1/2 (* y z))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(* -1/2 (* y z))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(+ t (* 1/8 x))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(* -1/2 (* y z))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(* -1/2 (* y z))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(- (* 1/8 x) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
t
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
t
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(* -1/2 (* y z))
(- (* 1/8 x) (* 1/2 (* y z)))
(- (* 1/8 x) (* 1/2 (* y z)))
(- (* 1/8 x) (* 1/2 (* y z)))
(* 1/8 x)
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(* 1/8 x)
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(* 1/8 x)
(+ (* -1/2 (* y z)) (* 1/8 x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(* -1/2 (* y z))
(* y (- (* 1/8 (/ x y)) (* 1/2 z)))
(* y (- (* 1/8 (/ x y)) (* 1/2 z)))
(* y (- (* 1/8 (/ x y)) (* 1/2 z)))
(* -1/2 (* y z))
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z))))
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z))))
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z))))
(* 1/8 x)
(+ (* -1/2 (* y z)) (* 1/8 x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(* -1/2 (* y z))
(* z (- (* 1/8 (/ x z)) (* 1/2 y)))
(* z (- (* 1/8 (/ x z)) (* 1/2 y)))
(* z (- (* 1/8 (/ x z)) (* 1/2 y)))
(* -1/2 (* y z))
(* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y))))
(* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y))))
(* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y))))
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)

Outputs
(* 1/2 (* y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(* 1/2 (* y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(* 1/2 (* y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(* 1/2 (* y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(* 1/2 (* y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(* 1/2 (* y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(* 1/2 (* y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(* 1/2 (* y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(* 1/2 (* y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(* 1/2 (* y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(* 1/2 (* y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(* 1/2 (* y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(* 1/2 (* y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(* 1/2 (* y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(* 1/2 (* y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(* 1/2 (* y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(* 1/2 (* y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(* 1/2 (* y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(* 1/2 (* y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(* 1/2 (* y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(* 1/2 (* y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(* 1/2 (* y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(* 1/2 (* y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(* 1/2 (* y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(- t (* 1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(+ t (* 1/8 x))
(fma.f64 #s(literal 1/8 binary64) x t)
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(+ t (* 1/8 x))
(fma.f64 #s(literal 1/8 binary64) x t)
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(- (* 1/8 x) (* 1/2 (* y z)))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
t
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
t
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(- (* 1/8 x) (* 1/2 (* y z)))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(- (* 1/8 x) (* 1/2 (* y z)))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(- (* 1/8 x) (* 1/2 (* y z)))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(* y (- (* 1/8 (/ x y)) (* 1/2 z)))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* y (- (* 1/8 (/ x y)) (* 1/2 z)))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* y (- (* 1/8 (/ x y)) (* 1/2 z)))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z))))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z))))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z))))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(* z (- (* 1/8 (/ x z)) (* 1/2 y)))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* z (- (* 1/8 (/ x z)) (* 1/2 y)))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* z (- (* 1/8 (/ x z)) (* 1/2 y)))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y))))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y))))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y))))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)

rewrite417.0ms (9.7%)

Memory

7.9MiB live, 666.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 930×	`lower-fma.f64`
8 930×	`lower-fma.f32`
4 482×	`lower-*.f32`
4 478×	`lower-*.f64`
2 730×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	29
0	20	29
1	65	29
2	503	29
3	6469	29
0	8004	26

Stop Event

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

Counts

5 → 275

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) #s(literal 8 binary64))
(/.f64 (*.f64 y z) #s(literal 2 binary64))
(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)
(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))
(*.f64 y z)

Outputs
#s(literal 1/8 binary64)
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 y (*.f64 z #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 y (.f64 z #s(literal -1/2 binary64))))
(neg.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))))
(neg.f64 (.f64 (.f64 y (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 y z)))
(/.f64 y (/.f64 #s(literal 2 binary64) z))
(/.f64 (*.f64 y z) #s(literal 2 binary64))
(/.f64 (*.f64 y (neg.f64 z)) #s(literal -2 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y z)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 y z)))
(/.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) z))
(/.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) z))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 y z)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 y (*.f64 z #s(literal 1/2 binary64))))
(.f64 y (.f64 z #s(literal 1/2 binary64)))
(.f64 y (.f64 (*.f64 z #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 z (.f64 y #s(literal 1/2 binary64)))
(.f64 z (.f64 (neg.f64 y) #s(literal -1/2 binary64)))
(.f64 z (.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 y z) #s(literal 1/2 binary64))
(.f64 (.f64 y (*.f64 z #s(literal 1/2 binary64))) #s(literal 1 binary64))
(.f64 (.f64 y (neg.f64 z)) #s(literal -1/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y z))))
(.f64 (.f64 z #s(literal 1/2 binary64)) y)
(.f64 (.f64 z #s(literal 1/2 binary64)) (*.f64 y #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 y (*.f64 z #s(literal -1/2 binary64))))
(.f64 (neg.f64 z) (.f64 y #s(literal -1/2 binary64)))
(*.f64 (neg.f64 z) (/.f64 y #s(literal -2 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 y (neg.f64 z)))
(.f64 (neg.f64 y) (.f64 z #s(literal -1/2 binary64)))
(.f64 (.f64 y #s(literal 1/2 binary64)) z)
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (.f64 y z)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 y z)) #s(literal -1/2 binary64)))
(.f64 (neg.f64 (neg.f64 y)) (.f64 z #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) y) (*.f64 z #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) z) (*.f64 y #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal 1/8 binary64) x) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) t))
(+.f64 (fma.f64 #s(literal 1/8 binary64) x (.f64 y (.f64 z #s(literal -1/2 binary64)))) t)
(+.f64 t (fma.f64 #s(literal 1/8 binary64) x (.f64 y (.f64 z #s(literal -1/2 binary64)))))
(+.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) (fma.f64 #s(literal 1/8 binary64) x t))
(+.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) x (.f64 y (.f64 z #s(literal -1/2 binary64)))) (fma.f64 #s(literal 1/8 binary64) x (.f64 y (.f64 z #s(literal -1/2 binary64))))) (-.f64 (.f64 #s(literal 1/8 binary64) x) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) t))) (neg.f64 (/.f64 (.f64 t t) (-.f64 (.f64 #s(literal 1/8 binary64) x) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) t)))))
(+.f64 (fma.f64 #s(literal 1/8 binary64) x t) (.f64 y (.f64 z #s(literal -1/2 binary64))))
(+.f64 (fma.f64 y (.f64 z #s(literal -1/2 binary64)) t) (.f64 #s(literal 1/8 binary64) x))
(-.f64 (.f64 #s(literal 1/8 binary64) x) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (neg.f64 t)))
(-.f64 (fma.f64 #s(literal 1/8 binary64) x (.f64 y (.f64 z #s(literal -1/2 binary64)))) (neg.f64 t))
(-.f64 (/.f64 (.f64 #s(literal 1/512 binary64) (.f64 x (.f64 x x))) (fma.f64 (.f64 y (.f64 z #s(literal 1/2 binary64))) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)) (.f64 x (.f64 x #s(literal 1/64 binary64))))) (-.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z))))) (fma.f64 (.f64 y (.f64 z #s(literal 1/2 binary64))) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)) (.f64 x (*.f64 x #s(literal 1/64 binary64))))) t))
(-.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/64 binary64))) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))) (-.f64 (/.f64 (.f64 y (.f64 z (.f64 #s(literal 1/4 binary64) (.f64 y z)))) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))) t))
(-.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) x (.f64 y (.f64 z #s(literal -1/2 binary64)))) (fma.f64 #s(literal 1/8 binary64) x (.f64 y (.f64 z #s(literal -1/2 binary64))))) (-.f64 (.f64 #s(literal 1/8 binary64) x) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) t))) (/.f64 (.f64 t t) (-.f64 (.f64 #s(literal 1/8 binary64) x) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) t))))
(-.f64 (fma.f64 #s(literal 1/8 binary64) x t) (.f64 y (.f64 z #s(literal 1/2 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 1/512 binary64) (.f64 x (.f64 x x))) (fma.f64 (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (neg.f64 t)) (fma.f64 #s(literal 1/8 binary64) x (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (neg.f64 t))) (.f64 x (.f64 x #s(literal 1/64 binary64))))) (/.f64 (.f64 (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (neg.f64 t)) (.f64 (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (neg.f64 t)) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (neg.f64 t)))) (fma.f64 (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (neg.f64 t)) (fma.f64 #s(literal 1/8 binary64) x (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (neg.f64 t))) (.f64 x (.f64 x #s(literal 1/64 binary64))))))
(-.f64 (/.f64 (.f64 t t) (-.f64 t (fma.f64 #s(literal 1/8 binary64) x (.f64 y (.f64 z #s(literal -1/2 binary64)))))) (/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) x (.f64 y (.f64 z #s(literal -1/2 binary64)))) (fma.f64 #s(literal 1/8 binary64) x (.f64 y (.f64 z #s(literal -1/2 binary64))))) (-.f64 t (fma.f64 #s(literal 1/8 binary64) x (.f64 y (.f64 z #s(literal -1/2 binary64)))))))
(-.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/64 binary64))) (fma.f64 #s(literal 1/8 binary64) x (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (neg.f64 t)))) (/.f64 (.f64 (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (neg.f64 t)) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (neg.f64 t))) (fma.f64 #s(literal 1/8 binary64) x (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) (neg.f64 t)))))
(-.f64 (+.f64 t (/.f64 (.f64 #s(literal 1/512 binary64) (.f64 x (.f64 x x))) (fma.f64 (.f64 y (.f64 z #s(literal 1/2 binary64))) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)) (.f64 x (.f64 x #s(literal 1/64 binary64)))))) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z))))) (fma.f64 (.f64 y (.f64 z #s(literal 1/2 binary64))) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)) (.f64 x (*.f64 x #s(literal 1/64 binary64))))))
(-.f64 (+.f64 t (/.f64 (.f64 x (.f64 x #s(literal 1/64 binary64))) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)))) (/.f64 (.f64 y (.f64 z (.f64 #s(literal 1/4 binary64) (.f64 y z)))) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))))
(-.f64 (+.f64 (fma.f64 #s(literal 1/8 binary64) x t) #s(literal 0 binary64)) (.f64 y (.f64 z #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) x) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) t))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) x (.f64 y (.f64 z #s(literal -1/2 binary64)))) t)
(fma.f64 #s(literal 1 binary64) (.f64 y (.f64 z #s(literal -1/2 binary64))) (fma.f64 #s(literal 1/8 binary64) x t))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))
(fma.f64 #s(literal 1/8 binary64) (.f64 x #s(literal 1 binary64)) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) t))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(fma.f64 z (neg.f64 (*.f64 y #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/8 binary64) x t))
(fma.f64 z (*.f64 y #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(fma.f64 z (*.f64 (neg.f64 y) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(fma.f64 z (/.f64 y #s(literal -2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(fma.f64 z (/.f64 (neg.f64 y) #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(fma.f64 (*.f64 y z) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/8 binary64) x t))
(fma.f64 (.f64 y (.f64 z #s(literal 1/2 binary64))) #s(literal -1 binary64) (fma.f64 #s(literal 1/8 binary64) x t))
(fma.f64 x #s(literal 1/8 binary64) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))
(fma.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 1 binary64) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) t))
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(/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/64 binary64)) (.f64 (.f64 y (.f64 z (.f64 y z))) #s(literal -1/4 binary64))) #s(literal 1 binary64)) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/512 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 1/262144 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z))))) (.f64 (.f64 (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z))))) #s(literal 1/64 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 z #s(literal 1/2 binary64))) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)) (.f64 x (.f64 x #s(literal 1/64 binary64)))))) (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z))))) (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))) (.f64 #s(literal 1/512 binary64) (.f64 x (.f64 x x)))) (.f64 #s(literal 1/262144 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/262144 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z))))) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 z #s(literal 1/2 binary64))) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)) (.f64 x (.f64 x #s(literal 1/64 binary64)))))) (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))) (.f64 #s(literal 1/512 binary64) (.f64 x (*.f64 x x)))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/262144 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z))))) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)))) (fma.f64 (.f64 y (.f64 z (.f64 #s(literal 1/4 binary64) (.f64 y z)))) (fma.f64 y (.f64 z (.f64 #s(literal 1/4 binary64) (.f64 y z))) (.f64 x (.f64 x #s(literal 1/64 binary64)))) (.f64 #s(literal 1/4096 binary64) (.f64 (.f64 x x) (.f64 x x)))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/4096 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 y (.f64 z (.f64 y z))) (.f64 y (.f64 z (.f64 y z)))) #s(literal 1/16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)))) (fma.f64 y (.f64 z (.f64 #s(literal 1/4 binary64) (.f64 y z))) (.f64 x (.f64 x #s(literal 1/64 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) x (.f64 y (.f64 z #s(literal -1/2 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) x (.f64 y (.f64 z #s(literal -1/2 binary64))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) x (.f64 y (*.f64 z #s(literal -1/2 binary64)))))
(.f64 (fma.f64 (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))) #s(literal -1/8 binary64) (.f64 #s(literal 1/512 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 z #s(literal 1/2 binary64))) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)) (.f64 x (*.f64 x #s(literal 1/64 binary64))))))
(.f64 (fma.f64 (.f64 y (.f64 z #s(literal 1/2 binary64))) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)) (.f64 x (.f64 x #s(literal 1/64 binary64)))) (.f64 (fma.f64 #s(literal 1/8 binary64) x (.f64 y (.f64 z #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 z #s(literal 1/2 binary64))) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)) (.f64 x (.f64 x #s(literal 1/64 binary64)))))))
(.f64 (fma.f64 (.f64 y (.f64 z #s(literal 1/2 binary64))) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)) (.f64 x (.f64 x #s(literal 1/64 binary64)))) (/.f64 (fma.f64 #s(literal 1/8 binary64) x (.f64 y (.f64 z #s(literal -1/2 binary64)))) (fma.f64 (.f64 y (.f64 z #s(literal 1/2 binary64))) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)) (.f64 x (*.f64 x #s(literal 1/64 binary64))))))
(.f64 (fma.f64 x (.f64 x #s(literal 1/64 binary64)) (.f64 (.f64 y (.f64 z (.f64 y z))) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))))
(.f64 (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)) (.f64 (fma.f64 #s(literal 1/8 binary64) x (.f64 y (.f64 z #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)))))
(.f64 (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)) (/.f64 (fma.f64 #s(literal 1/8 binary64) x (.f64 y (.f64 z #s(literal -1/2 binary64)))) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x))))
(.f64 (neg.f64 (fma.f64 (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))) #s(literal -1/8 binary64) (.f64 #s(literal 1/512 binary64) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 y (.f64 z #s(literal 1/2 binary64))) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)) (.f64 x (*.f64 x #s(literal 1/64 binary64)))))))
(.f64 (neg.f64 (fma.f64 x (.f64 x #s(literal 1/64 binary64)) (.f64 (.f64 y (.f64 z (.f64 y z))) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (neg.f64 (.f64 #s(literal 1/8 binary64) x)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 z #s(literal 1/2 binary64))) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)) (.f64 x (.f64 x #s(literal 1/64 binary64))))) (fma.f64 (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))) #s(literal -1/8 binary64) (.f64 #s(literal 1/512 binary64) (.f64 x (*.f64 x x)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))) (fma.f64 x (.f64 x #s(literal 1/64 binary64)) (.f64 (.f64 y (.f64 z (.f64 y z))) #s(literal -1/4 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/64 binary64)) (.f64 (.f64 y (.f64 z (.f64 y z))) #s(literal -1/4 binary64))) (fma.f64 x (.f64 x #s(literal 1/64 binary64)) (.f64 (.f64 y (.f64 z (.f64 y z))) #s(literal -1/4 binary64)))) (fma.f64 #s(literal 1/8 binary64) x (.f64 y (*.f64 z #s(literal -1/2 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))) #s(literal -1/8 binary64) (.f64 #s(literal 1/512 binary64) (.f64 x (.f64 x x)))) (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z))))) (.f64 (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)) (.f64 (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)))) (.f64 #s(literal 1/262144 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (fma.f64 (.f64 y (.f64 (.f64 z #s(literal 1/2 binary64)) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)))) (-.f64 (.f64 y (.f64 (.f64 z #s(literal 1/2 binary64)) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)))) (.f64 x (.f64 x #s(literal 1/64 binary64)))) (.f64 #s(literal 1/4096 binary64) (.f64 (.f64 x x) (*.f64 x x)))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))) #s(literal -1/8 binary64) (.f64 #s(literal 1/512 binary64) (.f64 x (.f64 x x)))) (-.f64 (.f64 #s(literal 1/4096 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 y (.f64 z (.f64 #s(literal 1/4 binary64) (.f64 y z)))) (.f64 (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)))))) (fma.f64 x (.f64 x #s(literal 1/64 binary64)) (.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x)))))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/64 binary64)) (.f64 (.f64 y (.f64 z (.f64 y z))) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))) (.f64 #s(literal 1/512 binary64) (.f64 x (.f64 x x))))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (.f64 y (.f64 z #s(literal -1/2 binary64)))) (.f64 y (.f64 z #s(literal -1/2 binary64))) (.f64 x (.f64 x #s(literal 1/64 binary64)))))
(-.f64 #s(literal 0 binary64) (*.f64 y (neg.f64 z)))
(neg.f64 (*.f64 y (neg.f64 z)))
(.f64 #s(literal 1 binary64) (.f64 y z))
(*.f64 y z)
(*.f64 y (neg.f64 (neg.f64 z)))
(.f64 y (.f64 z #s(literal 1 binary64)))
(*.f64 z y)
(*.f64 z (neg.f64 (neg.f64 y)))
(.f64 z (.f64 y #s(literal 1 binary64)))
(.f64 (.f64 y z) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 y (neg.f64 z)))
(*.f64 (neg.f64 z) (neg.f64 y))
(*.f64 (neg.f64 y) (neg.f64 z))
(*.f64 (neg.f64 (neg.f64 z)) y)
(*.f64 (neg.f64 (neg.f64 y)) z)
(.f64 (.f64 #s(literal 1 binary64) y) z)
(.f64 (.f64 #s(literal 1 binary64) z) y)

eval49.0ms (1.1%)

Memory: 8.2MiB live, 121.9MiB allocated
Compiler: Compiled 11 733 to 844 computations (92.8% saved)

prune57.0ms (1.3%)

Memory

-2.1MiB live, 116.1MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	400	5	405
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	401	5	406

Accuracy

100.0%

Counts

406 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.3%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)))
▶	73.3%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))
▶	62.8%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
▶	38.9%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 y (.f64 z #s(literal -1/2 binary64))))
▶	28.0%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))

Compiler

Compiled 102 to 70 computations (31.4% saved)

simplify37.0ms (0.9%)

Memory

-11.3MiB live, 26.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 #s(literal 1/8 binary64) x)
✓	cost-diff	(*.f64 z #s(literal -1/2 binary64))
✓	cost-diff	(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
✓	cost-diff	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)))
✓	cost-diff	(*.f64 z #s(literal -1/2 binary64))
✓	cost-diff	(.f64 y (.f64 z #s(literal -1/2 binary64)))
✓	cost-diff	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 y (.f64 z #s(literal -1/2 binary64))))
✓	cost-diff	(fma.f64 #s(literal 1/8 binary64) x t)
✓	cost-diff	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
✓	cost-diff	(*.f64 #s(literal 1/8 binary64) x)
✓	cost-diff	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
✓	cost-diff	(*.f64 z #s(literal -1/2 binary64))
✓	cost-diff	(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
✓	cost-diff	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))

Rules

704×	`lower-fma.f32`
698×	`lower-fma.f64`
320×	`lower-*.f32`
314×	`lower-*.f64`
160×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	141
0	32	141
1	49	136
2	80	136
3	133	136
4	214	136
5	353	136
6	509	136
7	683	136
8	813	136
9	815	136
0	815	131

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
y
(*.f64 z #s(literal -1/2 binary64))
z
#s(literal -1/2 binary64)
t
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
(*.f64 #s(literal 1/8 binary64) x)
#s(literal 1/8 binary64)
x
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
(fma.f64 #s(literal 1/8 binary64) x t)
#s(literal 1/8 binary64)
x
t
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 y (.f64 z #s(literal -1/2 binary64))))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
y
(*.f64 z #s(literal -1/2 binary64))
z
#s(literal -1/2 binary64)
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
y
(*.f64 z #s(literal -1/2 binary64))
z
#s(literal -1/2 binary64)
(*.f64 #s(literal 1/8 binary64) x)
#s(literal 1/8 binary64)
x

Outputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
y
(*.f64 z #s(literal -1/2 binary64))
z
#s(literal -1/2 binary64)
t
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
(*.f64 #s(literal 1/8 binary64) x)
#s(literal 1/8 binary64)
x
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
(fma.f64 #s(literal 1/8 binary64) x t)
#s(literal 1/8 binary64)
x
t
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 y (.f64 z #s(literal -1/2 binary64))))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
y
(*.f64 z #s(literal -1/2 binary64))
z
#s(literal -1/2 binary64)
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x (.f64 y (.f64 z #s(literal -1/2 binary64)))))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(fma.f64 #s(literal 1/8 binary64) x (.f64 y (.f64 z #s(literal -1/2 binary64))))
y
(*.f64 z #s(literal -1/2 binary64))
z
#s(literal -1/2 binary64)
(*.f64 #s(literal 1/8 binary64) x)
#s(literal 1/8 binary64)
x

localize91.0ms (2.1%)

Memory

-25.9MiB live, 100.3MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
✓	accuracy	100.0%	(*.f64 z #s(literal -1/2 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 1/8 binary64) x)
✓	accuracy	64.3%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)))
✓	accuracy	100.0%	(*.f64 z #s(literal -1/2 binary64))
✓	accuracy	100.0%	(.f64 y (.f64 z #s(literal -1/2 binary64)))
✓	accuracy	38.9%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 y (.f64 z #s(literal -1/2 binary64))))
✓	accuracy	100.0%	(fma.f64 #s(literal 1/8 binary64) x t)
✓	accuracy	62.8%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
✓	accuracy	100.0%	(*.f64 #s(literal 1/8 binary64) x)
✓	accuracy	28.0%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
✓	accuracy	100.0%	(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
✓	accuracy	100.0%	(*.f64 z #s(literal -1/2 binary64))
✓	accuracy	73.3%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))

Samples

38.0ms	255×	0	valid
0.0ms	1×	3	valid

Compiler

Compiled 125 to 23 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 8.0ms (44.8% of total)

ival-div: 4.0ms (22.4% of total)

ival-add: 4.0ms (22.4% of total)

ival-sub: 1.0ms (5.6% of total)

exact: 1.0ms (5.6% of total)

adjust: 0.0ms (0% of total)

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

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

series20.0ms (0.5%)

Memory

17.9MiB live, 56.5MiB allocated

Counts

11 → 384

Calls

Call 1

Inputs
#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) t)) (patch #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)) #<representation binary64>) () ())
#s(alt (fma.f64 y (.f64 z #s(literal -1/2 binary64)) t) (patch (fma.f64 y (.f64 z #s(literal -1/2 binary64)) t) #<representation binary64>) () ())
#s(alt (.f64 z #s(literal -1/2 binary64)) (patch (.f64 z #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 #s(literal 1/8 binary64) x)) (patch #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/8 binary64) x) (patch (.f64 #s(literal 1/8 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/8 binary64) x t) (patch (fma.f64 #s(literal 1/8 binary64) x t) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 y (.f64 z #s(literal -1/2 binary64)))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 y (.f64 z #s(literal -1/2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 y (.f64 z #s(literal -1/2 binary64))) (patch (.f64 y (.f64 z #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))) (patch #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))) #<representation binary64>) () ())
#s(alt (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)) (patch (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)) #<representation binary64>) () ())

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

Calls

96 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(+ (* y (* z -1/2)) (* 1/8 x))
0.0ms	z	@	-inf	(* z -1/2)
0.0ms	x	@	inf	(* 1/8 x)
0.0ms	z	@	inf	(* z -1/2)
0.0ms	x	@	-inf	(* 1/8 x)

simplify190.0ms (4.4%)

Memory

23.8MiB live, 338.1MiB allocated

Algorithm

1×	egg-herbie

Rules

5 416×	`lower-fma.f64`
5 416×	`lower-fma.f32`
2 966×	`lower-*.f64`
2 966×	`lower-*.f32`
1 758×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	3042
1	368	3042
2	1057	3042
3	3041	3042
4	6294	3042
0	8065	2590

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 367

Calls

Call 1

Inputs
(- t (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(* 1/8 x)
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* 1/8 x)
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
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(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(+ t (* 1/8 x))
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(- (* 1/8 x) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
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(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
t
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t
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t
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t
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(* 1/8 x)
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(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(- (* 1/8 x) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
t
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
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t
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(* 1/8 x)
(- t (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(* 1/8 x)
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* 1/8 x)
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(+ t (* 1/8 x))
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(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
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(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(+ t (* 1/8 x))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(* -1/2 (* y z))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
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(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(- (* 1/8 x) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
t
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
t
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
t
(+ t (* 1/8 x))
(+ t (* 1/8 x))
(+ t (* 1/8 x))
(* 1/8 x)
(* x (+ 1/8 (/ t x)))
(* x (+ 1/8 (/ t x)))
(* x (+ 1/8 (/ t x)))
(* 1/8 x)
(* -1 (* x (- (* -1 (/ t x)) 1/8)))
(* -1 (* x (- (* -1 (/ t x)) 1/8)))
(* -1 (* x (- (* -1 (/ t x)) 1/8)))
(* 1/8 x)
(+ t (* 1/8 x))
(+ t (* 1/8 x))
(+ t (* 1/8 x))
t
(* t (+ 1 (* 1/8 (/ x t))))
(* t (+ 1 (* 1/8 (/ x t))))
(* t (+ 1 (* 1/8 (/ x t))))
t
(* -1 (* t (- (* -1/8 (/ x t)) 1)))
(* -1 (* t (- (* -1/8 (/ x t)) 1)))
(* -1 (* t (- (* -1/8 (/ x t)) 1)))
(- t (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(* 1/8 x)
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* 1/8 x)
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(+ t (* 1/8 x))
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(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
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(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
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(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
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(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(- (* 1/8 x) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
t
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
t
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(* -1/2 (* y z))
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(* -1/2 (* y z))
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(* -1/2 (* y z))
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(* -1/2 (* y z))
(- t (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(* 1/8 x)
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(* 1/8 x)
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(+ t (* 1/8 x))
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(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
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(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
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(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(* -1/2 (* y z))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(- (* 1/8 x) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
t
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
t
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(* 1/8 x)
(+ (* -1/2 (* y z)) (* 1/8 x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(* -1/2 (* y z))
(* y (+ (* -1/2 z) (* 1/8 (/ x y))))
(* y (+ (* -1/2 z) (* 1/8 (/ x y))))
(* y (+ (* -1/2 z) (* 1/8 (/ x y))))
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(* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z))))
(* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z))))
(* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z))))
(* 1/8 x)
(+ (* -1/2 (* y z)) (* 1/8 x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(* -1/2 (* y z))
(* z (+ (* -1/2 y) (* 1/8 (/ x z))))
(* z (+ (* -1/2 y) (* 1/8 (/ x z))))
(* z (+ (* -1/2 y) (* 1/8 (/ x z))))
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(* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y))))
(* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y))))
(* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y))))
(* -1/2 (* y z))
(+ (* -1/2 (* y z)) (* 1/8 x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(* 1/8 x)
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(* 1/8 x)
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(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))

Outputs
(- t (* 1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(+ t (* 1/8 x))
(fma.f64 #s(literal 1/8 binary64) x t)
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
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(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(* y (+ (* -1/2 z) (* 1/8 (/ x y))))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* y (+ (* -1/2 z) (* 1/8 (/ x y))))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* y (+ (* -1/2 z) (* 1/8 (/ x y))))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z))))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z))))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z))))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(* z (+ (* -1/2 y) (* 1/8 (/ x z))))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* z (+ (* -1/2 y) (* 1/8 (/ x z))))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* z (+ (* -1/2 y) (* 1/8 (/ x z))))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y))))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y))))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y))))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* -1/2 (* y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))

rewrite451.0ms (10.5%)

Memory

13.1MiB live, 563.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

14 990×	`lower-fma.f32`
14 984×	`lower-fma.f64`
5 366×	`lower-*.f32`
5 360×	`lower-*.f64`
3 284×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	115
0	32	115
1	109	110
2	877	110
0	8912	105

Stop Event

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

Counts

11 → 222

Calls

Call 1

Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
(*.f64 z #s(literal -1/2 binary64))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
(*.f64 #s(literal 1/8 binary64) x)
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
(fma.f64 #s(literal 1/8 binary64) x t)
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 y (.f64 z #s(literal -1/2 binary64))))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))

Outputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))
(+.f64 t (.f64 (.f64 y z) #s(literal -1/2 binary64)))
(+.f64 (.f64 (.f64 y z) #s(literal -1/2 binary64)) t)
(+.f64 (.f64 (.f64 y z) #s(literal -1/2 binary64)) (neg.f64 (neg.f64 t)))
(+.f64 (/.f64 (.f64 (.f64 (.f64 y z) (.f64 y z)) #s(literal -1/4 binary64)) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) t)) (neg.f64 (/.f64 (.f64 t t) (-.f64 (.f64 (.f64 y z) #s(literal -1/2 binary64)) t))))
(-.f64 t (.f64 (.f64 y z) #s(literal 1/2 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 y z) #s(literal 1/2 binary64)) t))
(-.f64 (/.f64 (.f64 (.f64 (.f64 y z) (.f64 y z)) #s(literal -1/4 binary64)) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) t)) (/.f64 (.f64 t t) (-.f64 (.f64 (.f64 y z) #s(literal -1/2 binary64)) t)))
(-.f64 (/.f64 (.f64 t t) (+.f64 t (.f64 (.f64 y z) #s(literal 1/2 binary64)))) (/.f64 (.f64 y (.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) z)) (+.f64 t (.f64 (*.f64 y z) #s(literal 1/2 binary64)))))
(-.f64 (+.f64 t #s(literal 0 binary64)) (.f64 (.f64 y z) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 y z) #s(literal -1/2 binary64)) t)
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 y z) #s(literal -1/2 binary64)) (neg.f64 (neg.f64 t)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (neg.f64 (neg.f64 t)))
(fma.f64 z (*.f64 y #s(literal -1/2 binary64)) t)
(fma.f64 z (*.f64 y #s(literal -1/2 binary64)) (neg.f64 (neg.f64 t)))
(fma.f64 z (*.f64 #s(literal -1/2 binary64) y) t)
(fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 (neg.f64 t)))
(fma.f64 z (neg.f64 (*.f64 y #s(literal 1/2 binary64))) t)
(fma.f64 z (neg.f64 (*.f64 y #s(literal 1/2 binary64))) (neg.f64 (neg.f64 t)))
(fma.f64 (*.f64 y z) #s(literal -1/2 binary64) t)
(fma.f64 (*.f64 y z) #s(literal -1/2 binary64) (neg.f64 (neg.f64 t)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (neg.f64 (neg.f64 t)))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y t)
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (neg.f64 (neg.f64 t)))
(fma.f64 (neg.f64 (*.f64 y z)) #s(literal 1/2 binary64) t)
(fma.f64 (neg.f64 (*.f64 y z)) #s(literal 1/2 binary64) (neg.f64 (neg.f64 t)))
(fma.f64 (.f64 y (.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) z)) (/.f64 #s(literal -1 binary64) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) t)) (neg.f64 (/.f64 (.f64 t t) (-.f64 (.f64 (.f64 y z) #s(literal -1/2 binary64)) t))))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 y z)) t)
(fma.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 y z)) (neg.f64 (neg.f64 t)))
(fma.f64 (*.f64 z #s(literal 1/2 binary64)) (neg.f64 y) t)
(fma.f64 (*.f64 z #s(literal 1/2 binary64)) (neg.f64 y) (neg.f64 (neg.f64 t)))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 y z) #s(literal 1/2 binary64)) t)
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 y z) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 t)))
(fma.f64 (neg.f64 z) (*.f64 y #s(literal 1/2 binary64)) t)
(fma.f64 (neg.f64 z) (*.f64 y #s(literal 1/2 binary64)) (neg.f64 (neg.f64 t)))
(fma.f64 (neg.f64 y) (*.f64 z #s(literal 1/2 binary64)) t)
(fma.f64 (neg.f64 y) (*.f64 z #s(literal 1/2 binary64)) (neg.f64 (neg.f64 t)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z t)
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (neg.f64 (neg.f64 t)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t)
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (neg.f64 (neg.f64 t)))
(neg.f64 (-.f64 (.f64 (.f64 y z) #s(literal 1/2 binary64)) t))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 y z) (.f64 (.f64 y z) (.f64 y z))) (.f64 t (.f64 t t))) (fma.f64 (.f64 (.f64 y z) (.f64 y z)) #s(literal -1/4 binary64) (neg.f64 (.f64 t (+.f64 t (.f64 (*.f64 y z) #s(literal 1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t t (.f64 (.f64 (.f64 y z) #s(literal -1/2 binary64)) (-.f64 (.f64 (.f64 y z) #s(literal -1/2 binary64)) t))) (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 y z) (.f64 (.f64 y z) (.f64 y z))) (.f64 t (.f64 t t)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t (.f64 (.f64 y z) #s(literal 1/2 binary64))) (fma.f64 t t (.f64 (.f64 (.f64 y z) (.f64 y z)) #s(literal -1/4 binary64)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 y z) (.f64 (.f64 y z) (.f64 y z))) (.f64 t (.f64 t t))) (fma.f64 y (.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) z) (.f64 t (+.f64 t (.f64 (*.f64 y z) #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 y z) (.f64 (.f64 y z) (.f64 y z))) (.f64 t (.f64 t t))) (fma.f64 t t (.f64 (.f64 (.f64 y z) #s(literal -1/2 binary64)) (-.f64 (.f64 (.f64 y z) #s(literal -1/2 binary64)) t))))
(/.f64 (-.f64 (.f64 y (.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) z)) (.f64 t t)) (-.f64 (.f64 (*.f64 y z) #s(literal -1/2 binary64)) t))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))))
(/.f64 (.f64 (fma.f64 y (.f64 z #s(literal -1/2 binary64)) t) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) t)) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) t))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 y z) (.f64 (.f64 y z) (.f64 y z))) (.f64 (.f64 t (neg.f64 t)) t)) (fma.f64 (.f64 (.f64 y z) (.f64 y z)) #s(literal -1/4 binary64) (neg.f64 (.f64 t (+.f64 t (.f64 (*.f64 y z) #s(literal 1/2 binary64)))))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 y z) (.f64 (.f64 y z) (.f64 y z))) (.f64 (.f64 t (neg.f64 t)) t)) (neg.f64 (fma.f64 t t (.f64 (.f64 (.f64 y z) #s(literal -1/2 binary64)) (-.f64 (.f64 (.f64 y z) #s(literal -1/2 binary64)) t)))))
(/.f64 (fma.f64 t t (.f64 (.f64 (.f64 y z) (.f64 y z)) #s(literal -1/4 binary64))) (+.f64 t (.f64 (.f64 y z) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 y (.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) z)) (-.f64 (.f64 (.f64 y z) #s(literal -1/2 binary64)) t)) (.f64 (-.f64 (.f64 (.f64 y z) #s(literal -1/2 binary64)) t) (.f64 t t))) (.f64 (-.f64 (.f64 (.f64 y z) #s(literal -1/2 binary64)) t) (-.f64 (.f64 (.f64 y z) #s(literal -1/2 binary64)) t)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 y z) (.f64 (.f64 y z) (.f64 y z))) (.f64 (.f64 t (neg.f64 t)) t))) (fma.f64 y (.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) z) (.f64 t (+.f64 t (.f64 (*.f64 y z) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 y z) (.f64 (.f64 y z) (.f64 y z))) (.f64 (.f64 t (neg.f64 t)) t))) (neg.f64 (fma.f64 (.f64 (.f64 y z) (.f64 y z)) #s(literal -1/4 binary64) (neg.f64 (.f64 t (+.f64 t (.f64 (*.f64 y z) #s(literal 1/2 binary64))))))))
(/.f64 (neg.f64 (.f64 (fma.f64 y (.f64 z #s(literal -1/2 binary64)) t) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) t))) (-.f64 (.f64 (*.f64 y z) #s(literal -1/2 binary64)) t))
(/.f64 (neg.f64 (fma.f64 t t (.f64 (.f64 (.f64 y z) (.f64 y z)) #s(literal -1/4 binary64)))) (neg.f64 (+.f64 t (.f64 (.f64 y z) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 y z) (.f64 y z)) #s(literal -1/4 binary64)) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) t)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 t t) (-.f64 (.f64 (.f64 y z) #s(literal -1/2 binary64)) t)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 y z) (.f64 y z)) #s(literal -1/4 binary64)) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) t)) (/.f64 (.f64 (.f64 (.f64 y z) (.f64 y z)) #s(literal -1/4 binary64)) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) t)) (fma.f64 (/.f64 (.f64 t t) (-.f64 (.f64 (.f64 y z) #s(literal -1/2 binary64)) t)) (/.f64 (.f64 t t) (-.f64 (.f64 (.f64 y z) #s(literal -1/2 binary64)) t)) (.f64 (/.f64 (.f64 (.f64 (.f64 y z) (.f64 y z)) #s(literal -1/4 binary64)) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) t)) (/.f64 (.f64 t t) (-.f64 (.f64 (*.f64 y z) #s(literal -1/2 binary64)) t))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 y z) (.f64 y z)) #s(literal -1/4 binary64)) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) t)) (/.f64 (.f64 (.f64 (.f64 y z) (.f64 y z)) #s(literal -1/4 binary64)) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) t))) (.f64 (/.f64 (.f64 t t) (-.f64 (.f64 (.f64 y z) #s(literal -1/2 binary64)) t)) (/.f64 (.f64 t t) (-.f64 (.f64 (.f64 y z) #s(literal -1/2 binary64)) t)))) (+.f64 (/.f64 (.f64 (.f64 (.f64 y z) (.f64 y z)) #s(literal -1/4 binary64)) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) t)) (/.f64 (.f64 t t) (-.f64 (.f64 (.f64 y z) #s(literal -1/2 binary64)) t))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) t))
(.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 y z) (.f64 (.f64 y z) (.f64 y z))) (.f64 t (.f64 t t))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) z) (.f64 t (+.f64 t (.f64 (.f64 y z) #s(literal 1/2 binary64)))))))
(.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 y z) (.f64 (.f64 y z) (.f64 y z))) (.f64 t (.f64 t t))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (.f64 (.f64 (.f64 y z) #s(literal -1/2 binary64)) (-.f64 (.f64 (*.f64 y z) #s(literal -1/2 binary64)) t)))))
(.f64 (-.f64 (.f64 y (.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) z)) (.f64 t t)) (/.f64 #s(literal -1 binary64) (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) t)))
(.f64 #s(literal -1 binary64) (-.f64 (.f64 (*.f64 y z) #s(literal 1/2 binary64)) t))
(.f64 (.f64 (fma.f64 y (.f64 z #s(literal -1/2 binary64)) t) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) t)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) t)))
(.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 y z) (.f64 (.f64 y z) (.f64 y z))) (.f64 (.f64 t (neg.f64 t)) t)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y z) (.f64 y z)) #s(literal -1/4 binary64) (neg.f64 (.f64 t (+.f64 t (.f64 (.f64 y z) #s(literal 1/2 binary64))))))))
(.f64 (fma.f64 t t (.f64 (.f64 (.f64 y z) (.f64 y z)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 t (.f64 (*.f64 y z) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 0 binary64) (*.f64 z #s(literal 1/2 binary64)))
(neg.f64 (*.f64 z #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) z)))
(/.f64 z #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) z))
(/.f64 (neg.f64 z) #s(literal 2 binary64))
(/.f64 (neg.f64 (neg.f64 z)) #s(literal -2 binary64))
(*.f64 z #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) z)
(.f64 #s(literal -1 binary64) (.f64 z #s(literal 1/2 binary64)))
(*.f64 (neg.f64 z) #s(literal 1/2 binary64))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
(*.f64 #s(literal 1/8 binary64) x)
(*.f64 x #s(literal 1/8 binary64))
(.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 1 binary64))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
(+.f64 t (*.f64 #s(literal 1/8 binary64) x))
(+.f64 (*.f64 #s(literal 1/8 binary64) x) t)
(+.f64 (/.f64 (.f64 x (.f64 #s(literal 1/64 binary64) x)) (-.f64 (.f64 #s(literal 1/8 binary64) x) t)) (neg.f64 (/.f64 (.f64 t t) (-.f64 (*.f64 #s(literal 1/8 binary64) x) t))))
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(/.f64 (-.f64 (.f64 (.f64 x (.f64 #s(literal 1/64 binary64) x)) (fma.f64 #s(literal 1/8 binary64) x (.f64 (.f64 y z) #s(literal 1/2 binary64)))) (.f64 (fma.f64 #s(literal 1/8 binary64) x (.f64 (.f64 y z) #s(literal 1/2 binary64))) (.f64 y (.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) z)))) (.f64 (fma.f64 #s(literal 1/8 binary64) x (.f64 (.f64 y z) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/8 binary64) x (.f64 (*.f64 y z) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 y (.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) z)) (fma.f64 x #s(literal -1/8 binary64) (.f64 (.f64 y z) #s(literal -1/2 binary64)))) (.f64 (fma.f64 x #s(literal -1/8 binary64) (.f64 (.f64 y z) #s(literal -1/2 binary64))) (.f64 x (.f64 #s(literal 1/64 binary64) x)))) (.f64 (fma.f64 x #s(literal -1/8 binary64) (.f64 (.f64 y z) #s(literal -1/2 binary64))) (fma.f64 x #s(literal -1/8 binary64) (.f64 (*.f64 y z) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 y z) (.f64 (.f64 y z) (.f64 y z))) (.f64 #s(literal -1/512 binary64) (.f64 x (.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 (.f64 y z) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) (.f64 #s(literal -1/16 binary64) x)) (.f64 x (.f64 #s(literal 1/64 binary64) x))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal -1/64 binary64) (.f64 y (.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) z)))) (neg.f64 (fma.f64 x #s(literal -1/8 binary64) (.f64 (*.f64 y z) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 y z) (.f64 y z)) #s(literal -1/4 binary64) (neg.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64))))) (neg.f64 (neg.f64 (fma.f64 x #s(literal -1/8 binary64) (.f64 (*.f64 y z) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/512 binary64) (.f64 x (.f64 x x))) (fma.f64 (.f64 y z) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) (.f64 #s(literal -1/16 binary64) x)) (.f64 x (.f64 #s(literal 1/64 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 y z) (.f64 (.f64 y z) (.f64 y z)))) (fma.f64 (.f64 y z) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) (.f64 #s(literal -1/16 binary64) x)) (.f64 x (.f64 #s(literal 1/64 binary64) x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/512 binary64) (.f64 x (.f64 x x))) (fma.f64 (.f64 y z) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) (.f64 #s(literal -1/16 binary64) x)) (.f64 x (.f64 #s(literal 1/64 binary64) x)))) (/.f64 (.f64 #s(literal 1/512 binary64) (.f64 x (.f64 x x))) (fma.f64 (.f64 y z) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) (.f64 #s(literal -1/16 binary64) x)) (.f64 x (.f64 #s(literal 1/64 binary64) x)))) (fma.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 y z) (.f64 (.f64 y z) (.f64 y z)))) (fma.f64 (.f64 y z) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) (.f64 #s(literal -1/16 binary64) x)) (.f64 x (.f64 #s(literal 1/64 binary64) x)))) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 y z) (.f64 (.f64 y z) (.f64 y z)))) (fma.f64 (.f64 y z) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) (.f64 #s(literal -1/16 binary64) x)) (.f64 x (.f64 #s(literal 1/64 binary64) x)))) (.f64 (/.f64 (.f64 #s(literal 1/512 binary64) (.f64 x (.f64 x x))) (fma.f64 (.f64 y z) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) (.f64 #s(literal -1/16 binary64) x)) (.f64 x (.f64 #s(literal 1/64 binary64) x)))) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 y z) (.f64 (.f64 y z) (.f64 y z)))) (fma.f64 (.f64 y z) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) (.f64 #s(literal -1/16 binary64) x)) (.f64 x (*.f64 #s(literal 1/64 binary64) x))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) (fma.f64 x #s(literal -1/8 binary64) (.f64 (.f64 y z) #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y (.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) z)) (fma.f64 #s(literal 1/8 binary64) x (.f64 (.f64 y z) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) (fma.f64 x #s(literal -1/8 binary64) (.f64 (.f64 y z) #s(literal -1/2 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) (fma.f64 x #s(literal -1/8 binary64) (.f64 (.f64 y z) #s(literal -1/2 binary64)))) (fma.f64 (/.f64 (.f64 y (.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) z)) (fma.f64 #s(literal 1/8 binary64) x (.f64 (.f64 y z) #s(literal 1/2 binary64)))) (/.f64 (.f64 y (.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) z)) (fma.f64 #s(literal 1/8 binary64) x (.f64 (.f64 y z) #s(literal 1/2 binary64)))) (.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) (fma.f64 x #s(literal -1/8 binary64) (.f64 (.f64 y z) #s(literal -1/2 binary64)))) (/.f64 (.f64 y (.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) z)) (fma.f64 #s(literal 1/8 binary64) x (.f64 (*.f64 y z) #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 y (.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) z)) (fma.f64 x #s(literal -1/8 binary64) (.f64 (.f64 y z) #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x (.f64 #s(literal 1/64 binary64) x)) (fma.f64 x #s(literal -1/8 binary64) (.f64 (.f64 y z) #s(literal -1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 y (.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) z)) (fma.f64 x #s(literal -1/8 binary64) (.f64 (.f64 y z) #s(literal -1/2 binary64)))) (/.f64 (.f64 y (.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) z)) (fma.f64 x #s(literal -1/8 binary64) (.f64 (.f64 y z) #s(literal -1/2 binary64)))) (fma.f64 (/.f64 (.f64 x (.f64 #s(literal 1/64 binary64) x)) (fma.f64 x #s(literal -1/8 binary64) (.f64 (.f64 y z) #s(literal -1/2 binary64)))) (/.f64 (.f64 x (.f64 #s(literal 1/64 binary64) x)) (fma.f64 x #s(literal -1/8 binary64) (.f64 (.f64 y z) #s(literal -1/2 binary64)))) (.f64 (/.f64 (.f64 y (.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) z)) (fma.f64 x #s(literal -1/8 binary64) (.f64 (.f64 y z) #s(literal -1/2 binary64)))) (/.f64 (.f64 x (.f64 #s(literal 1/64 binary64) x)) (fma.f64 x #s(literal -1/8 binary64) (.f64 (*.f64 y z) #s(literal -1/2 binary64))))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/512 binary64) (.f64 x (.f64 x x))) (fma.f64 (.f64 y z) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) (.f64 #s(literal -1/16 binary64) x)) (.f64 x (.f64 #s(literal 1/64 binary64) x)))) (/.f64 (.f64 #s(literal 1/512 binary64) (.f64 x (.f64 x x))) (fma.f64 (.f64 y z) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) (.f64 #s(literal -1/16 binary64) x)) (.f64 x (.f64 #s(literal 1/64 binary64) x))))) (.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 y z) (.f64 (.f64 y z) (.f64 y z)))) (fma.f64 (.f64 y z) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) (.f64 #s(literal -1/16 binary64) x)) (.f64 x (.f64 #s(literal 1/64 binary64) x)))) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 y z) (.f64 (.f64 y z) (.f64 y z)))) (fma.f64 (.f64 y z) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) (.f64 #s(literal -1/16 binary64) x)) (.f64 x (.f64 #s(literal 1/64 binary64) x)))))) (+.f64 (/.f64 (.f64 #s(literal 1/512 binary64) (.f64 x (.f64 x x))) (fma.f64 (.f64 y z) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) (.f64 #s(literal -1/16 binary64) x)) (.f64 x (.f64 #s(literal 1/64 binary64) x)))) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 y z) (.f64 (.f64 y z) (.f64 y z)))) (fma.f64 (.f64 y z) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) (.f64 #s(literal -1/16 binary64) x)) (.f64 x (*.f64 #s(literal 1/64 binary64) x))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) (fma.f64 x #s(literal -1/8 binary64) (.f64 (.f64 y z) #s(literal -1/2 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) (fma.f64 x #s(literal -1/8 binary64) (.f64 (.f64 y z) #s(literal -1/2 binary64))))) (.f64 (/.f64 (.f64 y (.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) z)) (fma.f64 #s(literal 1/8 binary64) x (.f64 (.f64 y z) #s(literal 1/2 binary64)))) (/.f64 (.f64 y (.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) z)) (fma.f64 #s(literal 1/8 binary64) x (.f64 (.f64 y z) #s(literal 1/2 binary64)))))) (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)) (fma.f64 x #s(literal -1/8 binary64) (.f64 (.f64 y z) #s(literal -1/2 binary64)))) (/.f64 (.f64 y (.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) z)) (fma.f64 #s(literal 1/8 binary64) x (.f64 (.f64 y z) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 y (.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) z)) (fma.f64 x #s(literal -1/8 binary64) (.f64 (.f64 y z) #s(literal -1/2 binary64)))) (/.f64 (.f64 y (.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) z)) (fma.f64 x #s(literal -1/8 binary64) (.f64 (.f64 y z) #s(literal -1/2 binary64))))) (.f64 (/.f64 (.f64 x (.f64 #s(literal 1/64 binary64) x)) (fma.f64 x #s(literal -1/8 binary64) (.f64 (.f64 y z) #s(literal -1/2 binary64)))) (/.f64 (.f64 x (.f64 #s(literal 1/64 binary64) x)) (fma.f64 x #s(literal -1/8 binary64) (.f64 (.f64 y z) #s(literal -1/2 binary64)))))) (+.f64 (/.f64 (.f64 y (.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) z)) (fma.f64 x #s(literal -1/8 binary64) (.f64 (.f64 y z) #s(literal -1/2 binary64)))) (/.f64 (.f64 x (.f64 #s(literal 1/64 binary64) x)) (fma.f64 x #s(literal -1/8 binary64) (.f64 (.f64 y z) #s(literal -1/2 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) x (.f64 (.f64 y z) #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) x (.f64 (*.f64 y z) #s(literal -1/2 binary64))))
(.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 y z) (.f64 (.f64 y z) (.f64 y z))) (.f64 #s(literal 1/512 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) (.f64 #s(literal -1/16 binary64) x)) (.f64 x (*.f64 #s(literal 1/64 binary64) x)))))
(.f64 (fma.f64 y (.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) z) (.f64 (.f64 x x) #s(literal -1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/8 binary64) (.f64 (.f64 y z) #s(literal -1/2 binary64)))))
(.f64 (fma.f64 x (.f64 #s(literal 1/64 binary64) x) (.f64 (.f64 (.f64 y z) (.f64 y z)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) x (.f64 (.f64 y z) #s(literal 1/2 binary64)))))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/64 binary64) (.f64 y (.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) z))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/8 binary64) (.f64 (.f64 y z) #s(literal -1/2 binary64)))))
(.f64 (fma.f64 (.f64 (.f64 y z) (.f64 y z)) #s(literal -1/4 binary64) (neg.f64 (.f64 (.f64 x x) #s(literal -1/64 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal -1/8 binary64) (.f64 (.f64 y z) #s(literal -1/2 binary64))))))
(.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 y z) (.f64 (.f64 y z) (.f64 y z))) (.f64 #s(literal -1/512 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 y z) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y z)) (.f64 #s(literal -1/16 binary64) x)) (.f64 x (*.f64 #s(literal 1/64 binary64) x))))))

eval77.0ms (1.8%)

Memory: -16.7MiB live, 133.4MiB allocated
Compiler: Compiled 8 587 to 501 computations (94.2% saved)

prune68.0ms (1.6%)

Memory

30.5MiB live, 104.8MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	650	0	650
Fresh	0	0	0
Picked	0	5	5
Done	0	0	0
Total	650	5	655

Accuracy

100.0%

Counts

655 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	64.3%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)))
✓	73.3%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))
✓	62.8%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
✓	38.9%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 y (.f64 z #s(literal -1/2 binary64))))
✓	28.0%	#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))

Compiler

Compiled 99 to 56 computations (43.4% saved)

regimes91.0ms (2.1%)

Memory

-33.3MiB live, 71.9MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 y (.f64 z #s(literal -1/2 binary64))))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)))
(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)

Outputs
(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)

Calls

9 calls:

47.0ms	(*.f64 y z)
24.0ms	(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)
3.0ms	x
3.0ms	t
3.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`t`
100.0%	1	`(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)`
100.0%	1	`(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))`
100.0%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)`
100.0%	1	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
100.0%	1	`(*.f64 y z)`

Compiler

Compiled 77 to 61 computations (20.8% saved)

regimes26.0ms (0.6%)

Memory

-12.3MiB live, 65.6MiB allocated

Counts

5 → 3

Calls

Call 1

Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 y (.f64 z #s(literal -1/2 binary64))))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)))

Outputs

#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))

#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))

#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))

Calls

9 calls:

4.0ms	z
4.0ms	(/.f64 (*.f64 y z) #s(literal 2 binary64))
3.0ms	y
3.0ms	t
2.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)

Results

Accuracy	Segments	Branch
87.7%	4	`x`
86.1%	3	`y`
85.2%	3	`z`
87.4%	3	`t`
80.4%	4	`(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)`
85.8%	4	`(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))`
87.7%	4	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)`
91.0%	3	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
91.0%	3	`(*.f64 y z)`

Compiler

Compiled 77 to 61 computations (20.8% saved)

regimes18.0ms (0.4%)

Memory

-4.9MiB live, 38.0MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))

#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))

#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 y (*.f64 z #s(literal -1/2 binary64))))

Outputs

#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 y (*.f64 z #s(literal -1/2 binary64))))

#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))

#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 y (*.f64 z #s(literal -1/2 binary64))))

Calls

8 calls:

4.0ms	y
2.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
2.0ms	z
2.0ms	x
2.0ms	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
77.3%	3	`(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))`
74.5%	3	`z`
77.2%	3	`y`
62.8%	1	`x`
62.8%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)`
67.0%	3	`t`
83.0%	3	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
83.0%	3	`(*.f64 y z)`

Compiler

Compiled 60 to 48 computations (20% saved)

regimes15.0ms (0.4%)

Memory

-4.2MiB live, 35.2MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))

Outputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))

Calls

9 calls:

2.0ms	t
2.0ms	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))
2.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
2.0ms	z
2.0ms	(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)

Results

Accuracy	Segments	Branch
62.8%	1	`x`
62.8%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)`
62.8%	1	`t`
62.8%	1	`z`
62.8%	1	`y`
62.8%	1	`(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))`
62.8%	1	`(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)`
62.8%	1	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
62.8%	1	`(*.f64 y z)`

Compiler

Compiled 77 to 61 computations (20.8% saved)

regimes13.0ms (0.3%)

Memory

-7.2MiB live, 32.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))

Outputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))

Calls

9 calls:

1.0ms	(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)
1.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
1.0ms	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))
1.0ms	t
1.0ms	y

Results

Accuracy	Segments	Branch
28.0%	1	`y`
28.0%	1	`z`
28.0%	1	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
28.0%	1	`(*.f64 y z)`
28.0%	1	`t`
28.0%	1	`(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)`
28.0%	1	`(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))`
28.0%	1	`x`
28.0%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)`

Compiler

Compiled 77 to 61 computations (20.8% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	341.02322169354613	44137506328.587906
0.0ms	-0.00011218564313301947	-4.009184193747798e-6

Compiler

Compiled 20 to 20 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8.807948615335723e+216	1.8174627340225862e+217
0.0ms	-4.4666351386888273e+164	-4.4414925817327e+159

Compiler

Compiled 20 to 20 computations (0% saved)

simplify9.0ms (0.2%)

Memory

13.2MiB live, 13.2MiB allocated

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative_binary64`
14×	`+-commutative_binary64`
12×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	170
1	53	170
2	61	170
3	73	170
4	82	170
5	88	170
6	90	170

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)
(if (<=.f64 (.f64 y z) #s(literal -7378697629483821/73786976294838206464 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) t)) (if (<=.f64 (.f64 y z) #s(literal 500 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))))
(if (<=.f64 (.f64 y z) #s(literal -400000000000000000713339979435167346058254570241205570842806111080518011391159814248187483197137184399507588144883912942575230584126514493815012733010253789624532992 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (.f64 y (.f64 z #s(literal -1/2 binary64)))) (if (<=.f64 (.f64 y z) #s(literal 9999999999999999601855055748251769806450047292244542376488118125689672251656359867008764503902493796828096692073033110439215789148209291468717978517470477604338250142827222541691722147321863584969741246387925089779712 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 y (.f64 z #s(literal -1/2 binary64))))))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))

Outputs
(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)
(if (<=.f64 (.f64 y z) #s(literal -7378697629483821/73786976294838206464 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) t)) (if (<=.f64 (.f64 y z) #s(literal 500 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))))
(if (<=.f64 (.f64 y z) #s(literal -400000000000000000713339979435167346058254570241205570842806111080518011391159814248187483197137184399507588144883912942575230584126514493815012733010253789624532992 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (.f64 y (.f64 z #s(literal -1/2 binary64)))) (if (<=.f64 (.f64 y z) #s(literal 9999999999999999601855055748251769806450047292244542376488118125689672251656359867008764503902493796828096692073033110439215789148209291468717978517470477604338250142827222541691722147321863584969741246387925089779712 binary64)) #s(approx (+ (- ( (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (.f64 y (.f64 z #s(literal -1/2 binary64))))))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64)))

soundness573.0ms (13.3%)

Memory

-3.7MiB live, 231.6MiB allocated

Rules

10 994×	`lower-fma.f64`
10 994×	`lower-fma.f32`
2 884×	`lower-*.f64`
2 884×	`lower-*.f32`
1 240×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	922
1	241	922
2	633	922
3	1919	922
4	5140	922
0	8110	819

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 136 to 70 computations (48.5% saved)

preprocess48.0ms (1.1%)

Memory: 35.4MiB live, 113.9MiB allocated
Remove: (sort y z)
Compiler: Compiled 338 to 190 computations (43.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	13	39
0	20	39
1	31	39
2	57	39
3	108	39
4	189	39
5	315	39
6	486	39
7	666	39
8	798	39
9	800	39
0	800	36

Iter	Nodes	Cost
0	26	141
0	32	141
1	49	136
2	80	136
3	133	136
4	214	136
5	353	136
6	509	136
7	683	136
8	813	136
9	815	136
0	815	131

Iter	Nodes	Cost
0	13	39
0	20	39
1	31	39
2	57	39
3	108	39
4	189	39
5	315	39
6	486	39
7	666	39
8	798	39
9	800	39
0	800	36

Iter	Nodes	Cost
0	26	141
0	32	141
1	49	136
2	80	136
3	133	136
4	214	136
5	353	136
6	509	136
7	683	136
8	813	136
9	815	136
0	815	131

analyze0.0ms (0%)

sample1.2s (27%)

preprocess150.0ms (3.5%)

explain203.0ms (4.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify34.0ms (0.8%)

localize34.0ms (0.8%)

series17.0ms (0.4%)

simplify458.0ms (10.6%)

rewrite417.0ms (9.7%)

eval49.0ms (1.1%)

prune57.0ms (1.3%)

simplify37.0ms (0.9%)

localize91.0ms (2.1%)

series20.0ms (0.5%)

simplify190.0ms (4.4%)

rewrite451.0ms (10.5%)

eval77.0ms (1.8%)

prune68.0ms (1.6%)

regimes91.0ms (2.1%)

regimes26.0ms (0.6%)

regimes18.0ms (0.4%)

regimes15.0ms (0.4%)

regimes13.0ms (0.3%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify9.0ms (0.2%)

soundness573.0ms (13.3%)

preprocess48.0ms (1.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	13	39
0	20	39
1	31	39
2	57	39
3	108	39
4	189	39
5	315	39
6	486	39
7	666	39
8	798	39
9	800	39
0	800	36

Iter	Nodes	Cost
0	26	141
0	32	141
1	49	136
2	80	136
3	133	136
4	214	136
5	353	136
6	509	136
7	683	136
8	813	136
9	815	136
0	815	131