Metrics for Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, D

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 12 computations (20% saved)

sample876.0ms (11.6%)

Memory

-23.1MiB live, 1 176.4MiB allocated

Samples

559.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 365.0ms

ival-mult: 249.0ms (68.2% of total)

ival-add: 55.0ms (15.1% of total)

ival-sub: 41.0ms (11.2% of total)

exact: 11.0ms (3% of total)

ival-true: 6.0ms (1.6% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain227.0ms (3%)

Memory

21.6MiB live, 259.9MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(.f64 (.f64 x #s(literal 3 binary64)) x)`
-	-	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
-	-	`#s(literal 1 binary64)`
-	-	`#s(literal 3 binary64)`
-	-	`#s(literal 4 binary64)`
-	-	`(*.f64 x #s(literal 3 binary64))`
-	-	`(*.f64 x #s(literal 4 binary64))`
-	-	`(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))`
-	-	`x`
-	-	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))`

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

37.0ms

512×

valid

Compiler

Compiled 114 to 34 computations (70.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 12.0ms (55% of total)

ival-add: 6.0ms (27.5% of total)

ival-sub: 2.0ms (9.2% of total)

exact: 1.0ms (4.6% of total)

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

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

preprocess107.0ms (1.4%)

Memory

0.8MiB live, 122.1MiB allocated

Algorithm

1×	egg-herbie

Rules

1 544×	`lower-fma.f64`
1 544×	`lower-fma.f32`
624×	`lower-*.f32`
616×	`lower-*.f64`
256×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	30
1	50	24
2	154	22
3	498	18
4	1114	18
5	1432	18
6	1493	18
7	1500	18
8	1500	18
9	1504	18
0	10	13
0	16	13
1	37	11
2	71	11
3	158	9
4	273	9
5	377	9
6	589	9
7	934	9
8	1230	9
9	1303	9
10	1340	9
11	1346	9
12	1346	9
0	1346	7

Stop Event

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

Calls

Call 1

Inputs
(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))

Outputs

(*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))

(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))

Compiler

Compiled 14 to 10 computations (28.6% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify57.0ms (0.8%)

Memory

4.5MiB live, 43.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 x #s(literal 3 binary64)) x)
cost-diff	128	(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
cost-diff	320	(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
cost-diff	448	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))

Rules

1 544×	`lower-fma.f64`
1 544×	`lower-fma.f32`
624×	`lower-*.f32`
616×	`lower-*.f64`
256×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	48
0	16	48
1	37	42
2	71	42
3	158	40
4	273	40
5	377	40
6	589	40
7	934	40
8	1230	40
9	1303	40
10	1340	40
11	1346	40
12	1346	40
0	1346	35

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
#s(literal 3 binary64)
(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
(.f64 (.f64 x #s(literal 3 binary64)) x)
(*.f64 x #s(literal 3 binary64))
x
(*.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1 binary64)

Outputs
(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
#s(literal 3 binary64)
(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #s(literal 1 binary64))
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
(*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)))
(.f64 (.f64 x #s(literal 3 binary64)) x)
(.f64 x (.f64 #s(literal 3 binary64) x))
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
x
(*.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1 binary64)

localize92.0ms (1.2%)

Memory

-5.8MiB live, 33.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.006191259768442017	(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
accuracy	0.0078125	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
accuracy	0.07421875	(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
accuracy	0.16015625	(.f64 (.f64 x #s(literal 3 binary64)) x)

Samples

82.0ms

256×

valid

Compiler

Compiled 50 to 12 computations (76% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-mult: 73.0ms (96.7% of total)

ival-sub: 1.0ms (1.3% of total)

ival-add: 1.0ms (1.3% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

6.0MiB live, 6.0MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (patch (.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (patch (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x #s(literal 3 binary64)) x) (patch (.f64 (.f64 x #s(literal 3 binary64)) x) #<representation binary64>) () ())

Outputs
#s(alt (* -4 x) (taylor 0 x) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 3 x) 4)) (taylor 0 x) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 3 x) 4)) (taylor 0 x) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 3 x) 4)) (taylor 0 x) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor inf x) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 3 (* 4 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 3 (* 4 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 3 (* 4 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor -inf x) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 3 (* 4 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 3 (* 4 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 3 (* 4 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt 3 (taylor 0 x) (#s(alt (.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (patch (.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* -12 x)) (taylor 0 x) (#s(alt (.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (patch (.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* x (- (* 9 x) 12))) (taylor 0 x) (#s(alt (.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (patch (.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* x (- (* 9 x) 12))) (taylor 0 x) (#s(alt (.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (patch (.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 2)) (taylor inf x) (#s(alt (.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (patch (.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 9 (* 12 (/ 1 x)))) (taylor inf x) (#s(alt (.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (patch (.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) (taylor inf x) (#s(alt (.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (patch (.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) (taylor inf x) (#s(alt (.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (patch (.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (patch (.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 9 (* 12 (/ 1 x)))) (taylor -inf x) (#s(alt (.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (patch (.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) (taylor -inf x) (#s(alt (.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (patch (.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) (taylor -inf x) (#s(alt (.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (patch (.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (patch (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -4 x)) (taylor 0 x) (#s(alt (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (patch (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- (* 3 x) 4))) (taylor 0 x) (#s(alt (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (patch (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- (* 3 x) 4))) (taylor 0 x) (#s(alt (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (patch (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor inf x) (#s(alt (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (patch (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 3 (* 4 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (patch (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (patch (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (patch (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor -inf x) (#s(alt (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (patch (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 3 (* 4 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (patch (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x)))) (taylor -inf x) (#s(alt (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (patch (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x)))) (taylor -inf x) (#s(alt (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (patch (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) x) (patch (.f64 (.f64 x #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) x) (patch (.f64 (.f64 x #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) x) (patch (.f64 (.f64 x #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) x) (patch (.f64 (.f64 x #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) x) (patch (.f64 (.f64 x #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) x) (patch (.f64 (.f64 x #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) x) (patch (.f64 (.f64 x #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) x) (patch (.f64 (.f64 x #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) x) (patch (.f64 (.f64 x #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) x) (patch (.f64 (.f64 x #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) x) (patch (.f64 (.f64 x #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) x) (patch (.f64 (.f64 x #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(- (* (* x 3) x) (* x 4))
0.0ms	x	@	0	(- (* (* x 3) x) (* x 4))
0.0ms	x	@	inf	(* (* x 3) x)
0.0ms	x	@	-inf	(+ (- (* (* x 3) x) (* x 4)) 1)
0.0ms	x	@	-inf	(* 3 (+ (- (* (* x 3) x) (* x 4)) 1))

simplify150.0ms (2%)

Memory

-5.0MiB live, 158.7MiB allocated

Algorithm

1×	egg-herbie

Rules

6 316×	`lower-fma.f64`
6 316×	`lower-fma.f32`
2 456×	`lower-*.f64`
2 456×	`lower-*.f32`
1 484×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	308
1	137	308
2	323	308
3	753	308
4	1956	304
5	4214	304
6	5944	304
7	7664	304
0	8049	265

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
(* -4 x)
(* x (- (* 3 x) 4))
(* x (- (* 3 x) 4))
(* x (- (* 3 x) 4))
(* 3 (pow x 2))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(* 3 (pow x 2))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(+ 3 (* x (- (* 9 x) 12)))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
1
(+ 1 (* -4 x))
(+ 1 (* x (- (* 3 x) 4)))
(+ 1 (* x (- (* 3 x) 4)))
(* 3 (pow x 2))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x))))
(* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x))))
(* 3 (pow x 2))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x))))
(* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x))))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))

Outputs
(* -4 x)
(*.f64 #s(literal -4 binary64) x)
(* x (- (* 3 x) 4))
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
(* x (- (* 3 x) 4))
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
(* x (- (* 3 x) 4))
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -4 x))
(fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* 3 x) 4)))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* 3 x) 4)))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
(* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
(* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x))))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x))))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))

rewrite427.0ms (5.6%)

Memory

9.3MiB live, 400.5MiB allocated

Rules

8 226×	`lower-fma.f64`
8 226×	`lower-fma.f32`
4 388×	`lower-*.f32`
4 380×	`lower-*.f64`
2 760×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
0	16	38
1	61	32
2	451	32
3	7371	32
0	8608	27

Stop Event

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

Counts

4 → 341

Calls

Call 1

Inputs
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
(.f64 (.f64 x #s(literal 3 binary64)) x)

Outputs
(+.f64 (.f64 x (.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal -4 binary64)))
(+.f64 (.f64 x #s(literal -4 binary64)) (.f64 x (*.f64 x #s(literal 3 binary64))))
(+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))) (fma.f64 x (.f64 (.f64 x x) #s(literal 12 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal 16 binary64))))) (neg.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 12 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 16 binary64)))))))
(+.f64 (/.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 x x)))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x #s(literal 16 binary64))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 3 binary64)))) (.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4 binary64))))
(+.f64 (.f64 (.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal -4 binary64))) (.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 3 binary64)))))
(+.f64 (.f64 (.f64 x (.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)))
(-.f64 (.f64 x (.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 4 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 x #s(literal 4 binary64)) (.f64 x (*.f64 x #s(literal 3 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))) (fma.f64 x (.f64 (.f64 x x) #s(literal 12 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal 16 binary64))))) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 12 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 16 binary64))))))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 x x)))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 16 binary64))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)))))
(-.f64 (fma.f64 x (.f64 x #s(literal 3 binary64)) #s(literal 0 binary64)) (.f64 x #s(literal 4 binary64)))
(fma.f64 x (.f64 x #s(literal 3 binary64)) (.f64 x #s(literal -4 binary64)))
(fma.f64 x #s(literal -4 binary64) (.f64 x (.f64 x #s(literal 3 binary64))))
(fma.f64 x (/.f64 (.f64 x (.f64 #s(literal 9 binary64) (.f64 x x))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x #s(literal 16 binary64))) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))))))
(fma.f64 #s(literal 3 binary64) (.f64 x x) (.f64 x #s(literal -4 binary64)))
(fma.f64 (.f64 x #s(literal 3 binary64)) x (.f64 x #s(literal -4 binary64)))
(fma.f64 (.f64 x #s(literal 3 binary64)) (/.f64 (.f64 x (.f64 x (.f64 x #s(literal 3 binary64)))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x #s(literal 16 binary64))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))))))
(fma.f64 (.f64 x (.f64 x #s(literal 3 binary64))) #s(literal 1 binary64) (.f64 (.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x (.f64 x #s(literal 3 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 3 binary64))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x #s(literal 16 binary64))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))))))
(fma.f64 (.f64 x (.f64 x #s(literal 3 binary64))) (/.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 x x)))) (fma.f64 x (.f64 (.f64 x x) #s(literal 12 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal 16 binary64))))) (neg.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 12 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 16 binary64)))))))
(fma.f64 #s(literal 4 binary64) (neg.f64 x) (.f64 x (.f64 x #s(literal 3 binary64))))
(fma.f64 (.f64 x #s(literal 4 binary64)) #s(literal -1 binary64) (.f64 x (*.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1 binary64) (.f64 x #s(literal -4 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal -4 binary64)) (.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 3 binary64)))))
(fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 12 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal 16 binary64))))) (neg.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 12 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 16 binary64)))))))
(fma.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x #s(literal 16 binary64))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))))))
(fma.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 x x)))) (/.f64 (.f64 x (.f64 x #s(literal 3 binary64))) (fma.f64 x (.f64 (.f64 x x) #s(literal 12 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal 16 binary64))))) (neg.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 12 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 16 binary64)))))))
(fma.f64 (.f64 x #s(literal -4 binary64)) #s(literal 1 binary64) (.f64 (.f64 x (.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) #s(literal 4 binary64) (.f64 x (.f64 x #s(literal 3 binary64))))
(fma.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 12 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal 16 binary64))))) (neg.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 12 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal 16 binary64)))))))
(fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 (.f64 x x) #s(literal 12 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal 16 binary64))))) (neg.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 12 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal 16 binary64)))))))
(fma.f64 #s(literal -1 binary64) (.f64 x #s(literal 4 binary64)) (.f64 x (*.f64 x #s(literal 3 binary64))))
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(.f64 (/.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) #s(literal -1 binary64)) (fma.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))) #s(literal -1 binary64))) (fma.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))))))) (fma.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))))) (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)))
(.f64 x (.f64 x #s(literal 3 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 3 binary64)) x)
(.f64 (.f64 x x) #s(literal 3 binary64))

eval86.0ms (1.1%)

Memory: 2.2MiB live, 110.1MiB allocated
Compiler: Compiled 12 761 to 1 132 computations (91.1% saved)

prune102.0ms (1.3%)

Memory

0.4MiB live, 131.8MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	380	9	389
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	381	9	390

Accuracy

100.0%

Counts

390 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(fma.f64 (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) #s(literal 3 binary64) #s(literal 3 binary64))
▶	99.9%	(fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
▶	99.9%	(fma.f64 (*.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64))
	49.0%	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 x (.f64 x #s(literal 3 binary64)))))
▶	99.9%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64)))
	53.9%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
▶	49.0%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
	49.5%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
▶	53.6%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Compiler

Compiled 144 to 90 computations (37.5% saved)

simplify71.0ms (0.9%)

Memory

-11.5MiB live, 71.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))
cost-diff	0	(*.f64 x #s(literal 3 binary64))
cost-diff	320	(fma.f64 (*.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64))
cost-diff	0	(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
cost-diff	0	(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
cost-diff	0	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal 9 binary64))
cost-diff	0	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
cost-diff	0	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))
cost-diff	0	(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	320	(fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))

Rules

1 544×	`lower-fma.f32`
1 532×	`lower-fma.f64`
624×	`lower-*.f32`
618×	`lower-*.f64`
256×	`lower-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	120
0	38	116
1	84	98
2	155	98
3	214	98
4	306	98
5	409	98
6	625	98
7	973	98
8	1283	98
9	1357	98
10	1394	98
11	1400	98
12	1400	98
0	1400	98

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(*.f64 x x)
x
#s(literal 9 binary64)
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
#s(literal -12 binary64)
#s(literal 3 binary64)
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
(.f64 (.f64 x x) #s(literal 9 binary64))
(*.f64 x x)
x
#s(literal 9 binary64)
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
x
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
#s(literal 9 binary64)
#s(literal -12 binary64)
#s(literal 3 binary64)
(fma.f64 (*.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64))
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))
#s(literal -4 binary64)

Outputs
(fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(*.f64 x x)
x
#s(literal 9 binary64)
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
#s(literal -12 binary64)
#s(literal 3 binary64)
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 x (.f64 x #s(literal 9 binary64))))
(.f64 (.f64 x x) #s(literal 9 binary64))
(.f64 x (.f64 x #s(literal 9 binary64)))
(*.f64 x x)
x
#s(literal 9 binary64)
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
x
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
#s(literal 9 binary64)
#s(literal -12 binary64)
#s(literal 3 binary64)
(fma.f64 (*.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))
#s(literal -4 binary64)

localize108.0ms (1.4%)

Memory

-14.3MiB live, 139.0MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))
accuracy	0	(*.f64 x #s(literal 3 binary64))
accuracy	0.08431625976844201	(fma.f64 (*.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64))
accuracy	0	(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
accuracy	0	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64)))
accuracy	0.0625	(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.13119125976844204	(.f64 (.f64 x x) #s(literal 9 binary64))
accuracy	32.57836629857634	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
accuracy	29.66436530883031	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))
accuracy	0	(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.0546875	(fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))

Samples

51.0ms	229×	0	valid
5.0ms	12×	2	valid
4.0ms	15×	1	valid

Compiler

Compiled 115 to 27 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 16.0ms (52.8% of total)

ival-add: 11.0ms (36.3% of total)

adjust: 2.0ms (6.6% of total)

ival-sub: 1.0ms (3.3% of total)

exact: 1.0ms (3.3% of total)

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

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

series8.0ms (0.1%)

Memory

16.5MiB live, 16.5MiB allocated

Counts

12 → 144

Calls

Call 1

Inputs
#s(alt (fma.f64 (.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))) (patch (fma.f64 (.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (patch (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64)) (patch #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64))) (patch #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) #s(literal 9 binary64)) (patch (.f64 (.f64 x x) #s(literal 9 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))) (patch #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (patch (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64)) (patch (fma.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) (patch (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #<representation binary64>) () ())

Outputs
#s(alt 3 (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))) (patch (fma.f64 (.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* -12 x)) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))) (patch (fma.f64 (.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* x (- (* 9 x) 12))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))) (patch (fma.f64 (.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* x (- (* 9 x) 12))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))) (patch (fma.f64 (.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))) (patch (fma.f64 (.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 9 (* 12 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))) (patch (fma.f64 (.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))) (patch (fma.f64 (.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))) (patch (fma.f64 (.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))) (patch (fma.f64 (.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 9 (* 12 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))) (patch (fma.f64 (.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))) (patch (fma.f64 (.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))) (patch (fma.f64 (.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt 3 (taylor 0 x) (#s(alt (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (patch (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* -12 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (patch (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* -12 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (patch (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* -12 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (patch (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -12 x) (taylor inf x) (#s(alt (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (patch (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* x (- 9 (* 12 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (patch (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 9 (* 12 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (patch (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (patch (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 12 (/ 1 x)) 9))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (patch (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 12 (/ 1 x)) 9))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (patch (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 12 (/ 1 x)) 9))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (patch (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #<representation binary64>) () ())) ())
#s(alt 3 (taylor 0 x) (#s(alt (fma.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64)) (patch (fma.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* -12 x)) (taylor 0 x) (#s(alt (fma.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64)) (patch (fma.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* x (- (* 9 x) 12))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64)) (patch (fma.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* x (- (* 9 x) 12))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64)) (patch (fma.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64)) (patch (fma.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 9 (* 12 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64)) (patch (fma.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64)) (patch (fma.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64)) (patch (fma.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64)) (patch (fma.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 9 (* 12 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64)) (patch (fma.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64)) (patch (fma.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64)) (patch (fma.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt -4 (taylor 0 x) (#s(alt (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) (patch (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 3 x) 4) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) (patch (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 3 x) 4) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) (patch (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 3 x) 4) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) (patch (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) (patch (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 3 (* 4 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) (patch (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 3 (* 4 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) (patch (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 3 (* 4 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) (patch (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) (patch (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (/ 1 x)) 3))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) (patch (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (/ 1 x)) 3))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) (patch (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (/ 1 x)) 3))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) (patch (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #<representation binary64>) () ())) ())

Calls

36 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(+ (* (* x 3) (+ (* x 3) -4)) 3)
0.0ms	x	@	inf	(* (* x x) 9)
0.0ms	x	@	-inf	(* x 3)
0.0ms	x	@	inf	(+ (* (* x 3) (+ (* x 3) -4)) 3)
0.0ms	x	@	0	(+ (* (* x x) 9) (+ (* x -12) 3))

simplify188.0ms (2.5%)

Memory

27.8MiB live, 283.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 126×	`lower-fma.f64`
7 126×	`lower-fma.f32`
2 526×	`lower-*.f64`
2 526×	`lower-*.f32`
1 400×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	816
1	127	816
2	315	816
3	773	792
4	1848	792
5	3619	792
6	5439	792
7	6803	792
8	7996	792
0	8008	675

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

Inputs
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(+ 3 (* x (- (* 9 x) 12)))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
3
(+ 3 (* -12 x))
(+ 3 (* -12 x))
(+ 3 (* -12 x))
(* -12 x)
(* x (- (* 3 (/ 1 x)) 12))
(* x (- (* 3 (/ 1 x)) 12))
(* x (- (* 3 (/ 1 x)) 12))
(* -12 x)
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(+ 3 (* x (- (* 9 x) 12)))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(+ 3 (* x (- (* 9 x) 12)))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(+ 3 (* x (- (* 9 x) 12)))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(+ 3 (* x (- (* 9 x) 12)))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
-12
(- (* 9 x) 12)
(- (* 9 x) 12)
(- (* 9 x) 12)
(* 9 x)
(* x (- 9 (* 12 (/ 1 x))))
(* x (- 9 (* 12 (/ 1 x))))
(* x (- 9 (* 12 (/ 1 x))))
(* 9 x)
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(+ 3 (* x (- (* 9 x) 12)))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
-4
(- (* 3 x) 4)
(- (* 3 x) 4)
(- (* 3 x) 4)
(* 3 x)
(* x (- 3 (* 4 (/ 1 x))))
(* x (- 3 (* 4 (/ 1 x))))
(* x (- 3 (* 4 (/ 1 x))))
(* 3 x)
(* -1 (* x (- (* 4 (/ 1 x)) 3)))
(* -1 (* x (- (* 4 (/ 1 x)) 3)))
(* -1 (* x (- (* 4 (/ 1 x)) 3)))

Outputs
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* x (- (* 3 (/ 1 x)) 12))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 12))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 12))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
-12
#s(literal -12 binary64)
(- (* 9 x) 12)
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(- (* 9 x) 12)
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(- (* 9 x) 12)
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* x (- 9 (* 12 (/ 1 x))))
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(* x (- 9 (* 12 (/ 1 x))))
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(* x (- 9 (* 12 (/ 1 x))))
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
-4
#s(literal -4 binary64)
(- (* 3 x) 4)
(fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))
(- (* 3 x) 4)
(fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))
(- (* 3 x) 4)
(fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (- 3 (* 4 (/ 1 x))))
(fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))
(* x (- 3 (* 4 (/ 1 x))))
(fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))
(* x (- 3 (* 4 (/ 1 x))))
(fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -1 (* x (- (* 4 (/ 1 x)) 3)))
(fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))
(* -1 (* x (- (* 4 (/ 1 x)) 3)))
(fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))
(* -1 (* x (- (* 4 (/ 1 x)) 3)))
(fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))

rewrite594.0ms (7.9%)

Memory

3.7MiB live, 558.0MiB allocated

Rules

8 120×	`lower-fma.f32`
8 108×	`lower-fma.f64`
4 006×	`lower-*.f32`
4 000×	`lower-*.f64`
3 954×	`lower-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	103
0	38	99
1	181	81
2	1506	81
0	8339	81

Stop Event

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

Counts

12 → 536

Calls

Call 1

Inputs
(fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(*.f64 x x)
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
(.f64 (.f64 x x) #s(literal 9 binary64))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(fma.f64 (*.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64))
(*.f64 x #s(literal 3 binary64))
(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))

Outputs
(+.f64 #s(literal 3 binary64) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
(+.f64 (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64)))
(+.f64 (.f64 x #s(literal -12 binary64)) (+.f64 #s(literal 3 binary64) (.f64 (*.f64 x x) #s(literal 9 binary64))))
(+.f64 (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) #s(literal 3 binary64))
(+.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))) (neg.f64 (/.f64 (.f64 (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))) (-.f64 (.f64 (*.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))))))
(+.f64 (/.f64 (.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64)))))
(+.f64 (+.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal 9 binary64))) (*.f64 x #s(literal -12 binary64)))
(+.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) (.f64 x #s(literal -12 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))) (/.f64 (.f64 (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))) (-.f64 (.f64 (*.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64))))
(-.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal 3 binary64) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) (/.f64 (.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) (-.f64 #s(literal 3 binary64) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))))
(-.f64 (/.f64 (.f64 (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))) (-.f64 (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64)))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64))) (-.f64 (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (.f64 (*.f64 x x) #s(literal 9 binary64)))))
(fma.f64 x #s(literal -12 binary64) (+.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal 9 binary64))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(fma.f64 x (*.f64 x #s(literal 9 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(fma.f64 x (fma.f64 #s(literal 3 binary64) (*.f64 x #s(literal 3 binary64)) #s(literal -12 binary64)) #s(literal 3 binary64))
(fma.f64 x (.f64 #s(literal 3 binary64) (.f64 x #s(literal 3 binary64))) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(fma.f64 #s(literal 9 binary64) (*.f64 x x) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(fma.f64 #s(literal -12 binary64) x (+.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal 9 binary64))))
(fma.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal 3 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(fma.f64 #s(literal 3 binary64) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) #s(literal 3 binary64))
(fma.f64 #s(literal 3 binary64) (.f64 x #s(literal -4 binary64)) (+.f64 #s(literal 3 binary64) (.f64 (*.f64 x x) #s(literal 9 binary64))))
(fma.f64 (.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 3 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(fma.f64 (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) #s(literal 3 binary64) #s(literal 3 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64)))
(fma.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) x #s(literal 3 binary64))
(fma.f64 (.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(fma.f64 (.f64 x #s(literal 3 binary64)) #s(literal -4 binary64) (+.f64 #s(literal 3 binary64) (.f64 (*.f64 x x) #s(literal 9 binary64))))
(fma.f64 (*.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64))
(fma.f64 #s(literal -4 binary64) (.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 3 binary64) (.f64 (*.f64 x x) #s(literal 9 binary64))))
(fma.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))
(fma.f64 (*.f64 x #s(literal 9 binary64)) x (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(fma.f64 (fma.f64 #s(literal -1728 binary64) (.f64 x (.f64 x x)) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) #s(literal 144 binary64) #s(literal 9 binary64)) (.f64 x #s(literal -36 binary64)))) (.f64 (.f64 x x) #s(literal 9 binary64)))
(fma.f64 (fma.f64 #s(literal -1728 binary64) (.f64 x (.f64 x x)) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 144 binary64)) (.f64 x #s(literal -36 binary64))))) (.f64 (*.f64 x x) #s(literal 9 binary64)))
(fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))) (neg.f64 (/.f64 (.f64 (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))) (-.f64 (.f64 (*.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))))))
(fma.f64 (.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64)))))
(fma.f64 (.f64 x #s(literal -4 binary64)) #s(literal 3 binary64) (+.f64 #s(literal 3 binary64) (.f64 (*.f64 x x) #s(literal 9 binary64))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 144 binary64) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64))) (.f64 (*.f64 x x) #s(literal 9 binary64)))
(fma.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x #s(literal 3 binary64)) #s(literal -12 binary64)) x #s(literal 3 binary64))
(fma.f64 (neg.f64 (fma.f64 #s(literal -1728 binary64) (.f64 x (.f64 x x)) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 144 binary64) #s(literal 9 binary64)) (.f64 x #s(literal -36 binary64))))) (.f64 (.f64 x x) #s(literal 9 binary64)))
(fma.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 144 binary64) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64)))) (.f64 (*.f64 x x) #s(literal 9 binary64)))
(fma.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) (.f64 x (.f64 x x)) (.f64 #s(literal -1728 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 144 binary64)) (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (*.f64 x #s(literal -12 binary64)))))) #s(literal 3 binary64))
(fma.f64 (-.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal 144 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (.f64 x #s(literal -12 binary64)))) (.f64 (*.f64 x x) #s(literal 9 binary64)))
(fma.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64))) (.f64 (.f64 x x) #s(literal 144 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (*.f64 x #s(literal -12 binary64)))) #s(literal 3 binary64))
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(.f64 (-.f64 #s(literal 9 binary64) (.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))))
(.f64 (-.f64 (.f64 (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64)))))
(.f64 (.f64 #s(literal 3 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) #s(literal 1 binary64)) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))))))
(.f64 (.f64 #s(literal 3 binary64) (fma.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal -1 binary64))))
(.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))) #s(literal 1 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) #s(literal 1 binary64)) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))))))
(.f64 (.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal -1 binary64))))
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
(+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))
(+.f64 #s(literal -4 binary64) (*.f64 x #s(literal 3 binary64)))
(+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))) (neg.f64 (/.f64 #s(literal 16 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)))))
(-.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))))
(-.f64 (/.f64 #s(literal 16 binary64) (-.f64 #s(literal -4 binary64) (.f64 x #s(literal 3 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (-.f64 #s(literal -4 binary64) (.f64 x #s(literal 3 binary64)))))
(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))
(fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))
(fma.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))) (neg.f64 (/.f64 #s(literal 16 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 16 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 x #s(literal -12 binary64)))) (fma.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x)) #s(literal -64 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 16 binary64) (.f64 (*.f64 x x) #s(literal 9 binary64)))))
(/.f64 (fma.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)) #s(literal -64 binary64)) (-.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 16 binary64)) (.f64 x #s(literal -12 binary64))))
(/.f64 (fma.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)) #s(literal -64 binary64)) (+.f64 #s(literal 16 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (*.f64 x #s(literal -12 binary64)))))
(/.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -16 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)) #s(literal -64 binary64))) (neg.f64 (-.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 16 binary64)) (.f64 x #s(literal -12 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)) #s(literal -64 binary64))) (neg.f64 (+.f64 #s(literal 16 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (*.f64 x #s(literal -12 binary64))))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -16 binary64))) (neg.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))))
(/.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 x x) #s(literal 9 binary64))) (-.f64 #s(literal -4 binary64) (*.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))) (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)) #s(literal 16 binary64))) (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)) #s(literal -64 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 16 binary64)) (.f64 x #s(literal -12 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -16 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 x x) #s(literal 9 binary64)))) (neg.f64 (-.f64 #s(literal -4 binary64) (*.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) #s(literal 64 binary64)) (fma.f64 x (.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 16 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))) (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 16 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))) (.f64 (/.f64 (.f64 (*.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))) (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)))) (.f64 (/.f64 #s(literal 16 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))))) (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
(.f64 (fma.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 16 binary64)) (*.f64 x #s(literal -12 binary64)))))
(.f64 (fma.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 x #s(literal -12 binary64))))))
(.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))))
(.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)) #s(literal -64 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal 16 binary64)) (*.f64 x #s(literal -12 binary64))))))
(.f64 (neg.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -16 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)))))
(.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 x x) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -4 binary64) (.f64 x #s(literal 3 binary64)))))

eval395.0ms (5.2%)

Memory: -31.1MiB live, 158.0MiB allocated
Compiler: Compiled 16 470 to 772 computations (95.3% saved)

prune104.0ms (1.4%)

Memory

5.9MiB live, 244.0MiB allocated

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	691	7	698
Fresh	3	1	4
Picked	1	4	5
Done	0	0	0
Total	695	12	707

Accuracy

100.0%

Counts

707 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
▶	49.5%	(fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( x -12) 3) (*.f64 x #s(literal -12 binary64))))
	98.4%	(fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( x -12) 3) #s(literal 3 binary64)))
	49.0%	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 x (.f64 x #s(literal 3 binary64)))))
▶	53.9%	#s(approx (+ (* (* x x) 9) (+ (* x -12) 3)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
▶	49.5%	#s(approx (+ (* (* x x) 9) (+ (* x -12) 3)) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
	49.0%	#s(approx (+ (* (* x x) 9) (+ (* x -12) 3)) (.f64 x (.f64 x #s(literal 9 binary64))))
✓	99.9%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64)))
▶	99.4%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) #s(literal 3 binary64)))
✓	49.0%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
▶	48.9%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64))))
✓	53.6%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Compiler

Compiled 179 to 111 computations (38% saved)

simplify277.0ms (3.7%)

Memory

7.7MiB live, 129.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x #s(literal -12 binary64))
cost-diff	0	#s(approx (+ (* x -12) 3) (*.f64 x #s(literal -12 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( x -12) 3) (*.f64 x #s(literal -12 binary64))))
cost-diff	0	(*.f64 x #s(literal 3 binary64))
cost-diff	0	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64))))
cost-diff	320	(.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64)))
cost-diff	0	(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
cost-diff	0	(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
cost-diff	0	#s(approx (+ (* (* x x) 9) (+ (* x -12) 3)) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
cost-diff	0	(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
cost-diff	0	#s(approx (+ (* (* x x) 9) (+ (* x -12) 3)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))
cost-diff	0	(fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) #s(literal 3 binary64))
cost-diff	0	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) #s(literal 3 binary64)))
cost-diff	320	(.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))

Rules

3 648×	`lower-fma.f32`
3 636×	`lower-fma.f64`
1 648×	`lower-*.f32`
1 636×	`lower-*.f64`
1 088×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	200
0	55	192
1	109	182
2	188	176
3	370	176
4	699	176
5	886	176
6	1128	176
7	1531	176
8	1906	176
9	2784	176
10	3446	176
11	3830	176
12	5028	176
13	5136	176
14	5162	176
15	5569	176
16	5749	176
17	5749	176
18	5797	176
19	5801	176
20	5801	176
21	5801	176
22	5801	176
23	5805	176
0	5805	172

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) #s(literal 3 binary64)))
(fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) #s(literal 3 binary64))
x
(.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))
(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))
(*.f64 x x)
#s(literal 81 binary64)
#s(literal -144 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))
#s(literal 1 binary64)
(fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))
#s(literal 9 binary64)
#s(literal 12 binary64)
#s(literal 3 binary64)
#s(approx (+ (* (* x x) 9) (+ (* x -12) 3)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
x
#s(literal -12 binary64)
#s(literal 3 binary64)
#s(approx (+ (* (* x x) 9) (+ (* x -12) 3)) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
x
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
#s(literal 9 binary64)
#s(literal -12 binary64)
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64))))
(.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( x -12) 3) (*.f64 x #s(literal -12 binary64))))
(*.f64 x x)
x
#s(literal 9 binary64)
#s(approx (+ (* x -12) 3) (*.f64 x #s(literal -12 binary64)))
(*.f64 x #s(literal -12 binary64))
#s(literal -12 binary64)

Outputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) #s(literal 3 binary64)))
#s(approx (+ (* (* x x) 9) (+ (* x -12) 3)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64)) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) #s(literal 3 binary64)))
(fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) #s(literal 3 binary64))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64)) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) #s(literal 3 binary64))
x
(.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))
(/.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))
(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))
(*.f64 x x)
#s(literal 81 binary64)
#s(literal -144 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))
#s(literal 1 binary64)
(fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))
#s(literal 9 binary64)
#s(literal 12 binary64)
#s(literal 3 binary64)
#s(approx (+ (* (* x x) 9) (+ (* x -12) 3)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
x
#s(literal -12 binary64)
#s(literal 3 binary64)
#s(approx (+ (* (* x x) 9) (+ (* x -12) 3)) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
x
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
#s(literal 9 binary64)
#s(literal -12 binary64)
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (* x x) 9) (+ (* x -12) 3)) (.f64 x (.f64 x #s(literal 9 binary64))))
(.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64)))
(.f64 x (.f64 x #s(literal 9 binary64)))
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
x
#s(literal 3 binary64)
(fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( x -12) 3) (*.f64 x #s(literal -12 binary64))))
(fma.f64 x (.f64 x #s(literal 9 binary64)) #s(approx (+ ( x -12) 3) (*.f64 x #s(literal -12 binary64))))
(*.f64 x x)
x
#s(literal 9 binary64)
#s(approx (+ (* x -12) 3) (*.f64 x #s(literal -12 binary64)))
(*.f64 x #s(literal -12 binary64))
#s(literal -12 binary64)

localize190.0ms (2.5%)

Memory

-2.3MiB live, 145.2MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0	(*.f64 x #s(literal -12 binary64))
accuracy	0.0546875	(fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( x -12) 3) (*.f64 x #s(literal -12 binary64))))
accuracy	32.71487783284911	#s(approx (+ (* x -12) 3) (*.f64 x #s(literal -12 binary64)))
accuracy	0	(*.f64 x #s(literal 3 binary64))
accuracy	0.29429628907376804	(.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64)))
accuracy	32.57836629857634	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64))))
accuracy	0	(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
accuracy	0.16796875	(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
accuracy	32.291671149160486	#s(approx (+ (* (* x x) 9) (+ (* x -12) 3)) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
accuracy	0	(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
accuracy	29.48571679375545	#s(approx (+ (* (* x x) 9) (+ (* x -12) 3)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
accuracy	0.0625	(fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) #s(literal 3 binary64))
accuracy	0.06640625	(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))
accuracy	0.293842994520945	(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))
accuracy	14.100264553245774	(.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))

Samples

45.0ms	200×	0	valid
10.0ms	25×	2	valid
10.0ms	31×	1	valid

Compiler

Compiled 173 to 33 computations (80.9% saved)

Precisions

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

ival-mult: 28.0ms (59.3% of total)

ival-add: 10.0ms (21.2% of total)

adjust: 4.0ms (8.5% of total)

ival-div: 2.0ms (4.2% of total)

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

exact: 1.0ms (2.1% of total)

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

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

series11.0ms (0.2%)

Memory

16.9MiB live, 16.9MiB allocated

Counts

17 → 204

Calls

Call 1

Inputs
#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) #s(literal 3 binary64))) (patch #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) #s(literal 3 binary64)) (patch (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* x x) 9) (+ (* x -12) 3)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))) (patch #s(approx (+ (* (* x x) 9) (+ (* x -12) 3)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (patch (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* x x) 9) (+ (* x -12) 3)) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) (patch #s(approx (+ ( (* x x) 9) (+ (* x -12) 3)) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (patch (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (patch (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 3 binary64))) (patch (.f64 (.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 3 binary64)))) (patch #s(approx ( 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( x -12) 3) (.f64 x #s(literal -12 binary64)))) (patch (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ (* x -12) 3) (*.f64 x #s(literal -12 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x -12) 3) (.f64 x #s(literal -12 binary64))) (patch #s(approx (+ ( x -12) 3) (*.f64 x #s(literal -12 binary64))) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal -12 binary64)) (patch (.f64 x #s(literal -12 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) #<representation binary64>) () ())

Outputs
#s(alt -12 (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* 9 x) 12) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* 9 x) 12) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* 9 x) 12) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- 9 (* 12 (/ 1 x)))) (taylor inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- 9 (* 12 (/ 1 x)))) (taylor inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- 9 (* 12 (/ 1 x)))) (taylor inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 12 (/ 1 x)) 9))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 12 (/ 1 x)) 9))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 12 (/ 1 x)) 9))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) #<representation binary64>) () ())) ())
#s(alt 3 (taylor 0 x) (#s(alt #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) #s(literal 3 binary64))) (patch #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* -12 x)) (taylor 0 x) (#s(alt #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) #s(literal 3 binary64))) (patch #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* x (- (* 9 x) 12))) (taylor 0 x) (#s(alt #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) #s(literal 3 binary64))) (patch #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* x (- (* 9 x) 12))) (taylor 0 x) (#s(alt #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) #s(literal 3 binary64))) (patch #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 2)) (taylor inf x) (#s(alt #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) #s(literal 3 binary64))) (patch #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 9 (* 12 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) #s(literal 3 binary64))) (patch #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) #s(literal 3 binary64))) (patch #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) #s(literal 3 binary64))) (patch #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) #s(literal 3 binary64))) (patch #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( x -12) 3) (.f64 x #s(literal -12 binary64)))) (patch (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ (* x -12) 3) (*.f64 x #s(literal -12 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt 3 (taylor 0 x) (#s(alt #s(approx (+ (* x -12) 3) (.f64 x #s(literal -12 binary64))) (patch #s(approx (+ ( x -12) 3) (*.f64 x #s(literal -12 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* -12 x)) (taylor 0 x) (#s(alt #s(approx (+ (* x -12) 3) (.f64 x #s(literal -12 binary64))) (patch #s(approx (+ ( x -12) 3) (*.f64 x #s(literal -12 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* -12 x)) (taylor 0 x) (#s(alt #s(approx (+ (* x -12) 3) (.f64 x #s(literal -12 binary64))) (patch #s(approx (+ ( x -12) 3) (*.f64 x #s(literal -12 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* -12 x)) (taylor 0 x) (#s(alt #s(approx (+ (* x -12) 3) (.f64 x #s(literal -12 binary64))) (patch #s(approx (+ ( x -12) 3) (*.f64 x #s(literal -12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -12 x) (taylor inf x) (#s(alt #s(approx (+ (* x -12) 3) (.f64 x #s(literal -12 binary64))) (patch #s(approx (+ ( x -12) 3) (*.f64 x #s(literal -12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 3 (/ 1 x)) 12)) (taylor inf x) (#s(alt #s(approx (+ (* x -12) 3) (.f64 x #s(literal -12 binary64))) (patch #s(approx (+ ( x -12) 3) (*.f64 x #s(literal -12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 3 (/ 1 x)) 12)) (taylor inf x) (#s(alt #s(approx (+ (* x -12) 3) (.f64 x #s(literal -12 binary64))) (patch #s(approx (+ ( x -12) 3) (*.f64 x #s(literal -12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 3 (/ 1 x)) 12)) (taylor inf x) (#s(alt #s(approx (+ (* x -12) 3) (.f64 x #s(literal -12 binary64))) (patch #s(approx (+ ( x -12) 3) (*.f64 x #s(literal -12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -12 x) (taylor -inf x) (#s(alt #s(approx (+ (* x -12) 3) (.f64 x #s(literal -12 binary64))) (patch #s(approx (+ ( x -12) 3) (*.f64 x #s(literal -12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 12 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x -12) 3) (.f64 x #s(literal -12 binary64))) (patch #s(approx (+ ( x -12) 3) (*.f64 x #s(literal -12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 12 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x -12) 3) (.f64 x #s(literal -12 binary64))) (patch #s(approx (+ ( x -12) 3) (*.f64 x #s(literal -12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 12 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x -12) 3) (.f64 x #s(literal -12 binary64))) (patch #s(approx (+ ( x -12) 3) (*.f64 x #s(literal -12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -12 x) (taylor 0 x) (#s(alt (.f64 x #s(literal -12 binary64)) (patch (.f64 x #s(literal -12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -12 x) (taylor 0 x) (#s(alt (.f64 x #s(literal -12 binary64)) (patch (.f64 x #s(literal -12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -12 x) (taylor 0 x) (#s(alt (.f64 x #s(literal -12 binary64)) (patch (.f64 x #s(literal -12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -12 x) (taylor 0 x) (#s(alt (.f64 x #s(literal -12 binary64)) (patch (.f64 x #s(literal -12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -12 x) (taylor inf x) (#s(alt (.f64 x #s(literal -12 binary64)) (patch (.f64 x #s(literal -12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -12 x) (taylor inf x) (#s(alt (.f64 x #s(literal -12 binary64)) (patch (.f64 x #s(literal -12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -12 x) (taylor inf x) (#s(alt (.f64 x #s(literal -12 binary64)) (patch (.f64 x #s(literal -12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -12 x) (taylor inf x) (#s(alt (.f64 x #s(literal -12 binary64)) (patch (.f64 x #s(literal -12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -12 x) (taylor -inf x) (#s(alt (.f64 x #s(literal -12 binary64)) (patch (.f64 x #s(literal -12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -12 x) (taylor -inf x) (#s(alt (.f64 x #s(literal -12 binary64)) (patch (.f64 x #s(literal -12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -12 x) (taylor -inf x) (#s(alt (.f64 x #s(literal -12 binary64)) (patch (.f64 x #s(literal -12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -12 x) (taylor -inf x) (#s(alt (.f64 x #s(literal -12 binary64)) (patch (.f64 x #s(literal -12 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/12 (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/12 (* -1/16 x)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/12 (* x (- (* 3/64 x) 1/16))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/12 (* x (- (* x (+ 3/64 (* -9/256 x))) 1/16))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1/9 (* 4/27 (/ 1 x))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1/9 (/ 16/81 (pow x 2))) (* 4/27 (/ 1 x))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1/9 (/ 16/81 (pow x 2))) (+ (* 4/27 (/ 1 x)) (* 64/243 (/ 1 (pow x 3))))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 4/27 (/ 1 x)) 1/9) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 16/81 (/ 1 x)) 4/27) x)) 1/9) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 64/243 (/ 1 x)) 16/81) x)) 4/27) x)) 1/9) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) #<representation binary64>) () ())) ())

Calls

51 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(+ (* x (* (+ (* (* x x) 81) -144) (/ 1 (+ (* x 9) 12)))) 3)
0.0ms	x	@	inf	(+ (* x (* (+ (* (* x x) 81) -144) (/ 1 (+ (* x 9) 12)))) 3)
0.0ms	x	@	0	(* (+ (* (* x x) 81) -144) (/ 1 (+ (* x 9) 12)))
0.0ms	x	@	inf	(* (+ (* (* x x) 81) -144) (/ 1 (+ (* x 9) 12)))
0.0ms	x	@	-inf	(* x -12)

simplify226.0ms (3%)

Memory

-32.6MiB live, 329.8MiB allocated

Algorithm

1×	egg-herbie

Rules

9 790×	`lower-fma.f64`
9 790×	`lower-fma.f32`
2 476×	`lower-*.f64`
2 476×	`lower-*.f32`
2 210×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	1184
1	280	1176
2	646	1176
3	1546	1130
4	4049	1130
5	7570	1130
0	8360	980

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
-12
(- (* 9 x) 12)
(- (* 9 x) 12)
(- (* 9 x) 12)
(* 9 x)
(* x (- 9 (* 12 (/ 1 x))))
(* x (- 9 (* 12 (/ 1 x))))
(* x (- 9 (* 12 (/ 1 x))))
(* 9 x)
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(+ 3 (* x (- (* 9 x) 12)))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(+ 3 (* x (- (* 9 x) 12)))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
-144
(- (* 81 (pow x 2)) 144)
(- (* 81 (pow x 2)) 144)
(- (* 81 (pow x 2)) 144)
(* 81 (pow x 2))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(* 81 (pow x 2))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(+ 3 (* x (- (* 9 x) 12)))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
3
(+ 3 (* -12 x))
(+ 3 (* -12 x))
(+ 3 (* -12 x))
(* -12 x)
(* x (- (* 3 (/ 1 x)) 12))
(* x (- (* 3 (/ 1 x)) 12))
(* x (- (* 3 (/ 1 x)) 12))
(* -12 x)
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(+ 3 (* x (- (* 9 x) 12)))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* -12 x)
(* x (- (* 9 x) 12))
(* x (- (* 9 x) 12))
(* x (- (* 9 x) 12))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
-12
(- (* 9 x) 12)
(- (* 9 x) 12)
(- (* 9 x) 12)
(* 9 x)
(* x (- 9 (* 12 (/ 1 x))))
(* x (- 9 (* 12 (/ 1 x))))
(* x (- 9 (* 12 (/ 1 x))))
(* 9 x)
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(+ 3 (* x (- (* 9 x) 12)))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(+ 3 (* x (- (* 9 x) 12)))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
3
(+ 3 (* -12 x))
(+ 3 (* -12 x))
(+ 3 (* -12 x))
(* -12 x)
(* x (- (* 3 (/ 1 x)) 12))
(* x (- (* 3 (/ 1 x)) 12))
(* x (- (* 3 (/ 1 x)) 12))
(* -12 x)
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
1/12
(+ 1/12 (* -1/16 x))
(+ 1/12 (* x (- (* 3/64 x) 1/16)))
(+ 1/12 (* x (- (* x (+ 3/64 (* -9/256 x))) 1/16)))
(/ 1/9 x)
(/ (- 1/9 (* 4/27 (/ 1 x))) x)
(/ (- (+ 1/9 (/ 16/81 (pow x 2))) (* 4/27 (/ 1 x))) x)
(/ (- (+ 1/9 (/ 16/81 (pow x 2))) (+ (* 4/27 (/ 1 x)) (* 64/243 (/ 1 (pow x 3))))) x)
(/ 1/9 x)
(* -1 (/ (- (* 4/27 (/ 1 x)) 1/9) x))
(* -1 (/ (- (* -1 (/ (- (* 16/81 (/ 1 x)) 4/27) x)) 1/9) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 64/243 (/ 1 x)) 16/81) x)) 4/27) x)) 1/9) x))

Outputs
-12
#s(literal -12 binary64)
(- (* 9 x) 12)
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
(- (* 9 x) 12)
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
(- (* 9 x) 12)
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* x (- 9 (* 12 (/ 1 x))))
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
(* x (- 9 (* 12 (/ 1 x))))
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
(* x (- 9 (* 12 (/ 1 x))))
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
-144
#s(literal -144 binary64)
(- (* 81 (pow x 2)) 144)
(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))
(- (* 81 (pow x 2)) 144)
(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))
(- (* 81 (pow x 2)) 144)
(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))
(* 81 (pow x 2))
(.f64 (.f64 x x) #s(literal 81 binary64))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))
(* 81 (pow x 2))
(.f64 (.f64 x x) #s(literal 81 binary64))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* x (- (* 3 (/ 1 x)) 12))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 12))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 12))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* x (- (* 9 x) 12))
(*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
(* x (- (* 9 x) 12))
(*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
(* x (- (* 9 x) 12))
(*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
-12
#s(literal -12 binary64)
(- (* 9 x) 12)
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
(- (* 9 x) 12)
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
(- (* 9 x) 12)
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* x (- 9 (* 12 (/ 1 x))))
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
(* x (- 9 (* 12 (/ 1 x))))
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
(* x (- 9 (* 12 (/ 1 x))))
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* x (- (* 3 (/ 1 x)) 12))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 12))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 12))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
1/12
#s(literal 1/12 binary64)
(+ 1/12 (* -1/16 x))
(fma.f64 x #s(literal -1/16 binary64) #s(literal 1/12 binary64))
(+ 1/12 (* x (- (* 3/64 x) 1/16)))
(fma.f64 x (fma.f64 x #s(literal 3/64 binary64) #s(literal -1/16 binary64)) #s(literal 1/12 binary64))
(+ 1/12 (* x (- (* x (+ 3/64 (* -9/256 x))) 1/16)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -9/256 binary64) #s(literal 3/64 binary64)) #s(literal -1/16 binary64)) #s(literal 1/12 binary64))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ (- 1/9 (* 4/27 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -4/27 binary64) x)) x)
(/ (- (+ 1/9 (/ 16/81 (pow x 2))) (* 4/27 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16/81 binary64) x) #s(literal -4/27 binary64)) x)) x)
(/ (- (+ 1/9 (/ 16/81 (pow x 2))) (+ (* 4/27 (/ 1 x)) (* 64/243 (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 16/81 binary64) (/.f64 #s(literal -64/243 binary64) x)) x) #s(literal -4/27 binary64)) x)) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(* -1 (/ (- (* 4/27 (/ 1 x)) 1/9) x))
(/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -4/27 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 16/81 (/ 1 x)) 4/27) x)) 1/9) x))
(/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16/81 binary64) x) #s(literal -4/27 binary64)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 64/243 (/ 1 x)) 16/81) x)) 4/27) x)) 1/9) x))
(/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 16/81 binary64) (/.f64 #s(literal -64/243 binary64) x)) x) #s(literal -4/27 binary64)) x)) x)

rewrite422.0ms (5.6%)

Memory

11.6MiB live, 461.4MiB allocated

Rules

5 910×	`lower-fma.f32`
5 898×	`lower-fma.f64`
4 458×	`lower-/.f32`
4 456×	`lower-/.f64`
4 150×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	175
0	55	168
1	227	134
2	1705	134
0	8467	132

Stop Event

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

Counts

17 → 532

Calls

Call 1

Inputs
(.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) #s(literal 3 binary64)))
(fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) #s(literal 3 binary64))
(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))
#s(approx (+ (* (* x x) 9) (+ (* x -12) 3)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
#s(approx (+ (* (* x x) 9) (+ (* x -12) 3)) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64))))
(*.f64 x #s(literal 3 binary64))
(fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( x -12) 3) (*.f64 x #s(literal -12 binary64))))
(*.f64 x x)
#s(approx (+ (* x -12) 3) (*.f64 x #s(literal -12 binary64)))
(*.f64 x #s(literal -12 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))

Outputs
(+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))
(+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) #s(literal -144 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (.f64 x (.f64 x #s(literal 81 binary64)))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (.f64 x (.f64 x #s(literal 81 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) #s(literal -144 binary64)))
(+.f64 (.f64 #s(literal -144 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) (.f64 (.f64 x (.f64 x #s(literal 81 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))))
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eval99.0ms (1.3%)

Memory: 14.0MiB live, 197.4MiB allocated
Compiler: Compiled 17 505 to 1 432 computations (91.8% saved)

prune156.0ms (2.1%)

Memory

-20.6MiB live, 188.8MiB allocated

Pruning

13 alts after pruning (5 fresh and 8 done)

	Pruned	Kept	Total
New	768	2	770
Fresh	0	3	3
Picked	1	4	5
Done	0	4	4
Total	769	13	782

Accuracy

100.0%

Counts

782 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
✓	49.5%	(fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( x -12) 3) (*.f64 x #s(literal -12 binary64))))
▶	98.4%	(fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( x -12) 3) #s(literal 3 binary64)))
▶	49.0%	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 x (.f64 x #s(literal 3 binary64)))))
✓	53.9%	#s(approx (+ (* (* x x) 9) (+ (* x -12) 3)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
✓	49.5%	#s(approx (+ (* (* x x) 9) (+ (* x -12) 3)) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
▶	49.0%	#s(approx (+ (* (* x x) 9) (+ (* x -12) 3)) (.f64 x (.f64 x #s(literal 9 binary64))))
▶	4.2%	#s(approx (+ (* (* x x) 9) (+ (* x -12) 3)) (.f64 x #s(approx (+ ( x 9) -12) #s(literal -12 binary64))))
✓	99.9%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64)))
▶	47.4%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)))
✓	49.0%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
✓	48.9%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64))))
✓	53.6%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Compiler

Compiled 154 to 92 computations (40.3% saved)

simplify209.0ms (2.8%)

Memory

27.1MiB live, 136.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x)))
cost-diff	0	(fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64))
cost-diff	0	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)))
cost-diff	0	(*.f64 x #s(literal 3 binary64))
cost-diff	0	(.f64 x (.f64 x #s(literal 3 binary64)))
cost-diff	0	#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (.f64 x (.f64 x #s(literal 3 binary64))))
cost-diff	0	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 x (.f64 x #s(literal 3 binary64)))))
cost-diff	0	(*.f64 x #s(literal 9 binary64))
cost-diff	0	(.f64 x (.f64 x #s(literal 9 binary64)))
cost-diff	0	#s(approx (+ (* (* x x) 9) (+ (* x -12) 3)) (.f64 x (.f64 x #s(literal 9 binary64))))
cost-diff	0	#s(approx (+ (* x 9) -12) #s(literal -12 binary64))
cost-diff	0	(.f64 x #s(approx (+ ( x 9) -12) #s(literal -12 binary64)))
cost-diff	0	#s(approx (+ (* (* x x) 9) (+ (* x -12) 3)) (.f64 x #s(approx (+ ( x 9) -12) #s(literal -12 binary64))))
cost-diff	0	#s(approx (+ (* x -12) 3) #s(literal 3 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( x -12) 3) #s(literal 3 binary64)))

Rules

3 728×	`lower-fma.f32`
3 722×	`lower-fma.f64`
1 732×	`lower-*.f32`
1 716×	`lower-*.f64`
1 510×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	239
0	59	239
1	104	229
2	170	227
3	334	227
4	556	227
5	662	227
6	883	227
7	1284	227
8	1949	227
9	2841	227
10	3830	227
11	3994	227
12	4056	227
13	4089	227
14	4114	227
15	4226	227
16	4271	227
17	4272	227
18	4272	227
19	4272	227
20	4272	227
21	4276	227
0	4276	208

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( x -12) 3) #s(literal 3 binary64)))
(*.f64 x x)
x
#s(literal 9 binary64)
#s(approx (+ (* x -12) 3) #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (+ (* (* x x) 9) (+ (* x -12) 3)) (.f64 x #s(approx (+ ( x 9) -12) #s(literal -12 binary64))))
(.f64 x #s(approx (+ ( x 9) -12) #s(literal -12 binary64)))
x
#s(approx (+ (* x 9) -12) #s(literal -12 binary64))
#s(literal -12 binary64)
#s(approx (+ (* (* x x) 9) (+ (* x -12) 3)) (.f64 x (.f64 x #s(literal 9 binary64))))
(.f64 x (.f64 x #s(literal 9 binary64)))
x
(*.f64 x #s(literal 9 binary64))
#s(literal 9 binary64)
(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 x (.f64 x #s(literal 3 binary64)))))
#s(literal 3 binary64)
#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (.f64 x (.f64 x #s(literal 3 binary64))))
(.f64 x (.f64 x #s(literal 3 binary64)))
x
(*.f64 x #s(literal 3 binary64))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)))
(fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64))
x
(.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x)))
(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))
(*.f64 x x)
#s(literal 81 binary64)
#s(literal -144 binary64)
#s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1/9 binary64)
#s(literal 3 binary64)

Outputs
(fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( x -12) 3) #s(literal 3 binary64)))
(fma.f64 x (.f64 x #s(literal 9 binary64)) #s(approx (+ ( x -12) 3) #s(literal 3 binary64)))
(*.f64 x x)
x
#s(literal 9 binary64)
#s(approx (+ (* x -12) 3) #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (+ (* (* x x) 9) (+ (* x -12) 3)) (.f64 x #s(approx (+ ( x 9) -12) #s(literal -12 binary64))))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 x #s(approx (+ ( x 9) -12) #s(literal -12 binary64))))
(.f64 x #s(approx (+ ( x 9) -12) #s(literal -12 binary64)))
x
#s(approx (+ (* x 9) -12) #s(literal -12 binary64))
#s(literal -12 binary64)
#s(approx (+ (* (* x x) 9) (+ (* x -12) 3)) (.f64 x (.f64 x #s(literal 9 binary64))))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
(.f64 x (.f64 x #s(literal 9 binary64)))
(.f64 (.f64 x x) #s(literal 9 binary64))
x
(*.f64 x #s(literal 9 binary64))
#s(literal 9 binary64)
(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 x (.f64 x #s(literal 3 binary64)))))
(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 (.f64 x x) #s(literal 3 binary64))))
#s(literal 3 binary64)
#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (.f64 x (.f64 x #s(literal 3 binary64))))
#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (.f64 (.f64 x x) #s(literal 3 binary64)))
(.f64 x (.f64 x #s(literal 3 binary64)))
(.f64 (.f64 x x) #s(literal 3 binary64))
x
(*.f64 x #s(literal 3 binary64))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x)) (.f64 x (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))) #s(literal 3 binary64)))
(fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64))
(fma.f64 #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x)) (.f64 x (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))) #s(literal 3 binary64))
x
(.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x)))
(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))
(*.f64 x x)
#s(literal 81 binary64)
#s(literal -144 binary64)
#s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1/9 binary64)
#s(literal 3 binary64)

localize132.0ms (1.7%)

Memory

1.5MiB live, 208.5MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.06640625	(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))
accuracy	0.34375	(/.f64 #s(literal 1/9 binary64) x)
accuracy	14.100264553245774	(.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x)))
accuracy	32.973142653145054	#s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))
accuracy	0	(*.f64 x #s(literal 3 binary64))
accuracy	0.07421875	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 x (.f64 x #s(literal 3 binary64)))))
accuracy	0.16015625	(.f64 x (.f64 x #s(literal 3 binary64)))
accuracy	32.578762692387116	#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (.f64 x (.f64 x #s(literal 3 binary64))))
accuracy	0	(*.f64 x #s(literal 9 binary64))
accuracy	0.13671875	(.f64 x (.f64 x #s(literal 9 binary64)))
accuracy	32.57836629857634	#s(approx (+ (* (* x x) 9) (+ (* x -12) 3)) (.f64 x (.f64 x #s(literal 9 binary64))))
accuracy	0.16796875	(.f64 x #s(approx (+ ( x 9) -12) #s(literal -12 binary64)))
accuracy	30.00171672433884	#s(approx (+ (* x 9) -12) #s(literal -12 binary64))
accuracy	32.291671149160486	#s(approx (+ (* (* x x) 9) (+ (* x -12) 3)) (.f64 x #s(approx (+ ( x 9) -12) #s(literal -12 binary64))))
accuracy	0	(*.f64 x x)
accuracy	0.0546875	(fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( x -12) 3) #s(literal 3 binary64)))
accuracy	30.039093872933282	#s(approx (+ (* x -12) 3) #s(literal 3 binary64))

Samples

58.0ms	200×	0	valid
27.0ms	25×	2	valid
11.0ms	31×	1	valid

Compiler

Compiled 176 to 36 computations (79.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-mult: 27.0ms (38.8% of total)

ival-add: 25.0ms (35.9% of total)

ival-div: 8.0ms (11.5% of total)

adjust: 4.0ms (5.8% of total)

const: 4.0ms (5.8% of total)

ival-sub: 1.0ms (1.4% of total)

exact: 1.0ms (1.4% of total)

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

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

series12.0ms (0.2%)

Memory

-9.4MiB live, 27.8MiB allocated

Counts

19 → 228

Calls

Call 1

Inputs
#s(alt (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( x -12) 3) #s(literal 3 binary64))) (patch (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( x -12) 3) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x -12) 3) #s(literal 3 binary64)) (patch #s(approx (+ (* x -12) 3) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* x x) 9) (+ (* x -12) 3)) (.f64 x #s(approx (+ ( x 9) -12) #s(literal -12 binary64)))) (patch #s(approx (+ (* (* x x) 9) (+ (* x -12) 3)) (.f64 x #s(approx (+ ( x 9) -12) #s(literal -12 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 x #s(approx (+ ( x 9) -12) #s(literal -12 binary64))) (patch (.f64 x #s(approx (+ ( x 9) -12) #s(literal -12 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x 9) -12) #s(literal -12 binary64)) (patch #s(approx (+ (* x 9) -12) #s(literal -12 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* x x) 9) (+ (* x -12) 3)) (.f64 x (.f64 x #s(literal 9 binary64)))) (patch #s(approx (+ (* (* x x) 9) (+ (* x -12) 3)) (.f64 x (.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 x #s(literal 9 binary64))) (patch (.f64 x (.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 9 binary64)) (patch (.f64 x #s(literal 9 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 x (.f64 x #s(literal 3 binary64))))) (patch (.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 x (.f64 x #s(literal 3 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (.f64 x (.f64 x #s(literal 3 binary64)))) (patch #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (.f64 x (.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 x #s(literal 3 binary64))) (patch (.f64 x (.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64))) (patch #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)) (patch (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x)) (patch #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/9 binary64) x) (patch (/.f64 #s(literal 1/9 binary64) x) #<representation binary64>) () ())

Outputs
#s(alt 3 (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( x -12) 3) #s(literal 3 binary64))) (patch (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( x -12) 3) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* -12 x)) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( x -12) 3) #s(literal 3 binary64))) (patch (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( x -12) 3) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* x (- (* 9 x) 12))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( x -12) 3) #s(literal 3 binary64))) (patch (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( x -12) 3) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* x (- (* 9 x) 12))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( x -12) 3) #s(literal 3 binary64))) (patch (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( x -12) 3) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( x -12) 3) #s(literal 3 binary64))) (patch (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( x -12) 3) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 9 (* 12 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( x -12) 3) #s(literal 3 binary64))) (patch (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( x -12) 3) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( x -12) 3) #s(literal 3 binary64))) (patch (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( x -12) 3) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( x -12) 3) #s(literal 3 binary64))) (patch (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( x -12) 3) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( x -12) 3) #s(literal 3 binary64))) (patch (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( x -12) 3) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 9 (* 12 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( x -12) 3) #s(literal 3 binary64))) (patch (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( x -12) 3) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( x -12) 3) #s(literal 3 binary64))) (patch (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( x -12) 3) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( x -12) 3) #s(literal 3 binary64))) (patch (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( x -12) 3) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
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#s(alt (* 9 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)) (patch (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 9 (* 12 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)) (patch (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)) (patch (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)) (patch (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)) (patch (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 9 (* 12 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)) (patch (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) (taylor -inf x) (#s(alt (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)) (patch (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) (taylor -inf x) (#s(alt (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)) (patch (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt -12 (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- (* 9 x) 12) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- (* 9 x) 12) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- (* 9 x) 12) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* x (- 9 (* 12 (/ 1 x)))) (taylor inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* x (- 9 (* 12 (/ 1 x)))) (taylor inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* x (- 9 (* 12 (/ 1 x)))) (taylor inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 12 (/ 1 x)) 9))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 12 (/ 1 x)) 9))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 12 (/ 1 x)) 9))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))) #<representation binary64>) () ())) ())
#s(alt -144 (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 81 (pow x 2)) 144) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 81 (pow x 2)) 144) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 81 (pow x 2)) 144) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 81 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 81 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/12 (taylor 0 x) (#s(alt #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x)) (patch #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1/12 (* -1/16 x)) (taylor 0 x) (#s(alt #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x)) (patch #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1/12 (* x (- (* 3/64 x) 1/16))) (taylor 0 x) (#s(alt #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x)) (patch #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1/12 (* x (- (* x (+ 3/64 (* -9/256 x))) 1/16))) (taylor 0 x) (#s(alt #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x)) (patch #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor inf x) (#s(alt #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x)) (patch #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1/9 (* 4/27 (/ 1 x))) x) (taylor inf x) (#s(alt #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x)) (patch #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1/9 (/ 16/81 (pow x 2))) (* 4/27 (/ 1 x))) x) (taylor inf x) (#s(alt #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x)) (patch #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1/9 (/ 16/81 (pow x 2))) (+ (* 4/27 (/ 1 x)) (* 64/243 (/ 1 (pow x 3))))) x) (taylor inf x) (#s(alt #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x)) (patch #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x)) (patch #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 4/27 (/ 1 x)) 1/9) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x)) (patch #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 16/81 (/ 1 x)) 4/27) x)) 1/9) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x)) (patch #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 64/243 (/ 1 x)) 16/81) x)) 4/27) x)) 1/9) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x)) (patch #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/9 binary64) x) (patch (/.f64 #s(literal 1/9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/9 binary64) x) (patch (/.f64 #s(literal 1/9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/9 binary64) x) (patch (/.f64 #s(literal 1/9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/9 binary64) x) (patch (/.f64 #s(literal 1/9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1/9 binary64) x) (patch (/.f64 #s(literal 1/9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1/9 binary64) x) (patch (/.f64 #s(literal 1/9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1/9 binary64) x) (patch (/.f64 #s(literal 1/9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1/9 binary64) x) (patch (/.f64 #s(literal 1/9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/9 binary64) x) (patch (/.f64 #s(literal 1/9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/9 binary64) x) (patch (/.f64 #s(literal 1/9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/9 binary64) x) (patch (/.f64 #s(literal 1/9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/9 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/9 binary64) x) (patch (/.f64 #s(literal 1/9 binary64) x) #<representation binary64>) () ())) ())

Calls

57 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(* x 9)
0.0ms	x	@	0	(/ 1/9 x)
0.0ms	x	@	-inf	(/ 1/9 x)
0.0ms	x	@	inf	(* x 9)
0.0ms	x	@	inf	(/ 1/9 x)

simplify217.0ms (2.9%)

Memory

17.3MiB live, 394.7MiB allocated

Algorithm

1×	egg-herbie

Rules

9 636×	`lower-fma.f64`
9 636×	`lower-fma.f32`
2 794×	`lower-*.f64`
2 794×	`lower-*.f32`
1 776×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	122	1316
1	336	1308
2	787	1308
3	1890	1258
4	4917	1258
5	7951	1258
0	8293	1102

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(+ 3 (* x (- (* 9 x) 12)))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
3
(+ 3 (* -12 x))
(+ 3 (* -12 x))
(+ 3 (* -12 x))
(* -12 x)
(* x (- (* 3 (/ 1 x)) 12))
(* x (- (* 3 (/ 1 x)) 12))
(* x (- (* 3 (/ 1 x)) 12))
(* -12 x)
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(+ 3 (* x (- (* 9 x) 12)))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* -12 x)
(* x (- (* 9 x) 12))
(* x (- (* 9 x) 12))
(* x (- (* 9 x) 12))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
-12
(- (* 9 x) 12)
(- (* 9 x) 12)
(- (* 9 x) 12)
(* 9 x)
(* x (- 9 (* 12 (/ 1 x))))
(* x (- 9 (* 12 (/ 1 x))))
(* x (- 9 (* 12 (/ 1 x))))
(* 9 x)
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(+ 3 (* x (- (* 9 x) 12)))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(+ 3 (* x (- (* 9 x) 12)))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
1
(+ 1 (* -4 x))
(+ 1 (* x (- (* 3 x) 4)))
(+ 1 (* x (- (* 3 x) 4)))
(* 3 (pow x 2))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x))))
(* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x))))
(* 3 (pow x 2))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x))))
(* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x))))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(+ 3 (* x (- (* 9 x) 12)))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(+ 3 (* x (- (* 9 x) 12)))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
-12
(- (* 9 x) 12)
(- (* 9 x) 12)
(- (* 9 x) 12)
(* 9 x)
(* x (- 9 (* 12 (/ 1 x))))
(* x (- 9 (* 12 (/ 1 x))))
(* x (- 9 (* 12 (/ 1 x))))
(* 9 x)
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
-144
(- (* 81 (pow x 2)) 144)
(- (* 81 (pow x 2)) 144)
(- (* 81 (pow x 2)) 144)
(* 81 (pow x 2))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(* 81 (pow x 2))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
1/12
(+ 1/12 (* -1/16 x))
(+ 1/12 (* x (- (* 3/64 x) 1/16)))
(+ 1/12 (* x (- (* x (+ 3/64 (* -9/256 x))) 1/16)))
(/ 1/9 x)
(/ (- 1/9 (* 4/27 (/ 1 x))) x)
(/ (- (+ 1/9 (/ 16/81 (pow x 2))) (* 4/27 (/ 1 x))) x)
(/ (- (+ 1/9 (/ 16/81 (pow x 2))) (+ (* 4/27 (/ 1 x)) (* 64/243 (/ 1 (pow x 3))))) x)
(/ 1/9 x)
(* -1 (/ (- (* 4/27 (/ 1 x)) 1/9) x))
(* -1 (/ (- (* -1 (/ (- (* 16/81 (/ 1 x)) 4/27) x)) 1/9) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 64/243 (/ 1 x)) 16/81) x)) 4/27) x)) 1/9) x))
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)

Outputs
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* x (- (* 3 (/ 1 x)) 12))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 12))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 12))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* x (- (* 9 x) 12))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* x (- (* 9 x) 12))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* x (- (* 9 x) 12))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
-12
#s(literal -12 binary64)
(- (* 9 x) 12)
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(- (* 9 x) 12)
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(- (* 9 x) 12)
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* x (- 9 (* 12 (/ 1 x))))
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(* x (- 9 (* 12 (/ 1 x))))
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(* x (- 9 (* 12 (/ 1 x))))
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -4 x))
(fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64))
(+ 1 (* x (- (* 3 x) 4)))
(fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* 3 x) 4)))
(fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #s(literal 1 binary64))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)))
(* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x))))
(fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x))))
(fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #s(literal 1 binary64))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)))
(* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x))))
(fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x))))
(fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #s(literal 1 binary64))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
-12
#s(literal -12 binary64)
(- (* 9 x) 12)
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(- (* 9 x) 12)
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(- (* 9 x) 12)
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* x (- 9 (* 12 (/ 1 x))))
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(* x (- 9 (* 12 (/ 1 x))))
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(* x (- 9 (* 12 (/ 1 x))))
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
-144
#s(literal -144 binary64)
(- (* 81 (pow x 2)) 144)
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))
(- (* 81 (pow x 2)) 144)
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))
(- (* 81 (pow x 2)) 144)
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))
(* 81 (pow x 2))
(.f64 x (.f64 x #s(literal 81 binary64)))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))
(* 81 (pow x 2))
(.f64 x (.f64 x #s(literal 81 binary64)))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))
1/12
#s(literal 1/12 binary64)
(+ 1/12 (* -1/16 x))
(fma.f64 x #s(literal -1/16 binary64) #s(literal 1/12 binary64))
(+ 1/12 (* x (- (* 3/64 x) 1/16)))
(fma.f64 x (fma.f64 x #s(literal 3/64 binary64) #s(literal -1/16 binary64)) #s(literal 1/12 binary64))
(+ 1/12 (* x (- (* x (+ 3/64 (* -9/256 x))) 1/16)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -9/256 binary64) #s(literal 3/64 binary64)) #s(literal -1/16 binary64)) #s(literal 1/12 binary64))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ (- 1/9 (* 4/27 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -4/27 binary64) x)) x)
(/ (- (+ 1/9 (/ 16/81 (pow x 2))) (* 4/27 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16/81 binary64) x) #s(literal -4/27 binary64)) x)) x)
(/ (- (+ 1/9 (/ 16/81 (pow x 2))) (+ (* 4/27 (/ 1 x)) (* 64/243 (/ 1 (pow x 3))))) x)
(/.f64 (-.f64 #s(literal 1/9 binary64) (/.f64 (+.f64 #s(literal 4/27 binary64) (/.f64 (+.f64 (/.f64 #s(literal 64/243 binary64) x) #s(literal -16/81 binary64)) x)) x)) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(* -1 (/ (- (* 4/27 (/ 1 x)) 1/9) x))
(/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -4/27 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 16/81 (/ 1 x)) 4/27) x)) 1/9) x))
(/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16/81 binary64) x) #s(literal -4/27 binary64)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 64/243 (/ 1 x)) 16/81) x)) 4/27) x)) 1/9) x))
(/.f64 (-.f64 #s(literal 1/9 binary64) (/.f64 (+.f64 #s(literal 4/27 binary64) (/.f64 (+.f64 (/.f64 #s(literal 64/243 binary64) x) #s(literal -16/81 binary64)) x)) x)) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)

rewrite506.0ms (6.7%)

Memory

-22.3MiB live, 243.7MiB allocated

Rules

5 916×	`lower-fma.f32`
5 910×	`lower-fma.f64`
4 422×	`lower-/.f32`
4 420×	`lower-/.f64`
4 380×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	222
0	59	222
1	228	212
2	1611	212
0	8420	196

Stop Event

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

Counts

19 → 200

Calls

Call 1

Inputs
(fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( x -12) 3) #s(literal 3 binary64)))
(*.f64 x x)
#s(approx (+ (* x -12) 3) #s(literal 3 binary64))
#s(approx (+ (* (* x x) 9) (+ (* x -12) 3)) (.f64 x #s(approx (+ ( x 9) -12) #s(literal -12 binary64))))
(.f64 x #s(approx (+ ( x 9) -12) #s(literal -12 binary64)))
#s(approx (+ (* x 9) -12) #s(literal -12 binary64))
#s(approx (+ (* (* x x) 9) (+ (* x -12) 3)) (.f64 x (.f64 x #s(literal 9 binary64))))
(.f64 x (.f64 x #s(literal 9 binary64)))
(*.f64 x #s(literal 9 binary64))
(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 x (.f64 x #s(literal 3 binary64)))))
#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (.f64 x (.f64 x #s(literal 3 binary64))))
(.f64 x (.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)))
(fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64))
(.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x)))
(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))
#s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))
(/.f64 #s(literal 1/9 binary64) x)

Outputs
(+.f64 #s(approx (+ (* x -12) 3) #s(literal 3 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(approx (+ (* x -12) 3) #s(literal 3 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(approx (+ (* x -12) 3) #s(literal 3 binary64)))) (/.f64 (.f64 #s(approx (+ ( x -12) 3) #s(literal 3 binary64)) #s(approx (+ (* x -12) 3) #s(literal 3 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(approx (+ (* x -12) 3) #s(literal 3 binary64)))))
(-.f64 (/.f64 (.f64 #s(approx (+ ( x -12) 3) #s(literal 3 binary64)) #s(approx (+ (* x -12) 3) #s(literal 3 binary64))) (-.f64 #s(approx (+ (* x -12) 3) #s(literal 3 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64)))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64))) (-.f64 #s(approx (+ (* x -12) 3) #s(literal 3 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64)))))
(fma.f64 x (.f64 x #s(literal 9 binary64)) #s(approx (+ ( x -12) 3) #s(literal 3 binary64)))
(fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( x -12) 3) #s(literal 3 binary64)))
(fma.f64 #s(literal 9 binary64) (.f64 x x) #s(approx (+ ( x -12) 3) #s(literal 3 binary64)))
(fma.f64 (.f64 x #s(literal 9 binary64)) x #s(approx (+ ( x -12) 3) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(approx (+ ( x -12) 3) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(approx (+ ( x -12) 3) #s(literal 3 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (+ (* x -12) 3) #s(literal 3 binary64)) #s(approx (+ (* x -12) 3) #s(literal 3 binary64)) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64))) (.f64 (.f64 x x) (.f64 #s(literal 9 binary64) #s(approx (+ ( x -12) 3) #s(literal 3 binary64)))))) (fma.f64 #s(approx (+ (* x -12) 3) #s(literal 3 binary64)) (.f64 #s(approx (+ ( x -12) 3) #s(literal 3 binary64)) #s(approx (+ (* x -12) 3) #s(literal 3 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) (.f64 x (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (+ (* x -12) 3) #s(literal 3 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64))) (-.f64 (.f64 #s(approx (+ ( x -12) 3) #s(literal 3 binary64)) #s(approx (+ (* x -12) 3) #s(literal 3 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(approx (+ ( x -12) 3) #s(literal 3 binary64))))))
(/.f64 (fma.f64 #s(approx (+ (* x -12) 3) #s(literal 3 binary64)) (.f64 #s(approx (+ ( x -12) 3) #s(literal 3 binary64)) #s(approx (+ (* x -12) 3) #s(literal 3 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) (.f64 x (.f64 x x)))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64)) (.f64 #s(approx (+ (* x -12) 3) #s(literal 3 binary64)) (-.f64 #s(approx (+ (* x -12) 3) #s(literal 3 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64))))))
(/.f64 (fma.f64 #s(approx (+ (* x -12) 3) #s(literal 3 binary64)) (.f64 #s(approx (+ ( x -12) 3) #s(literal 3 binary64)) #s(approx (+ (* x -12) 3) #s(literal 3 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) (.f64 x (.f64 x x)))) (fma.f64 #s(approx (+ (* x -12) 3) #s(literal 3 binary64)) #s(approx (+ (* x -12) 3) #s(literal 3 binary64)) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64))) (.f64 (.f64 x x) (.f64 #s(literal 9 binary64) #s(approx (+ ( x -12) 3) #s(literal 3 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64))) (.f64 #s(approx (+ ( x -12) 3) #s(literal 3 binary64)) #s(approx (+ (* x -12) 3) #s(literal 3 binary64)))) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(approx (+ (* x -12) 3) #s(literal 3 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(approx (+ (* x -12) 3) #s(literal 3 binary64)) (.f64 #s(approx (+ ( x -12) 3) #s(literal 3 binary64)) #s(approx (+ (* x -12) 3) #s(literal 3 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) (.f64 x (.f64 x x))))) (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64)) (.f64 #s(approx (+ (* x -12) 3) #s(literal 3 binary64)) (-.f64 #s(approx (+ (* x -12) 3) #s(literal 3 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64)))))))
(/.f64 (neg.f64 (fma.f64 #s(approx (+ (* x -12) 3) #s(literal 3 binary64)) (.f64 #s(approx (+ ( x -12) 3) #s(literal 3 binary64)) #s(approx (+ (* x -12) 3) #s(literal 3 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) (.f64 x (.f64 x x))))) (neg.f64 (fma.f64 #s(approx (+ (* x -12) 3) #s(literal 3 binary64)) #s(approx (+ (* x -12) 3) #s(literal 3 binary64)) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64))) (.f64 (.f64 x x) (.f64 #s(literal 9 binary64) #s(approx (+ ( x -12) 3) #s(literal 3 binary64))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64))) (.f64 #s(approx (+ ( x -12) 3) #s(literal 3 binary64)) #s(approx (+ (* x -12) 3) #s(literal 3 binary64))))) (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(approx (+ (* x -12) 3) #s(literal 3 binary64)))))
(/.f64 (-.f64 (.f64 #s(approx (+ ( x -12) 3) #s(literal 3 binary64)) #s(approx (+ (* x -12) 3) #s(literal 3 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64)))) (-.f64 #s(approx (+ (* x -12) 3) #s(literal 3 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(approx (+ ( x -12) 3) #s(literal 3 binary64)))) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(approx (+ ( x -12) 3) #s(literal 3 binary64))) (.f64 #s(approx (+ ( x -12) 3) #s(literal 3 binary64)) #s(approx (+ (* x -12) 3) #s(literal 3 binary64))))) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(approx (+ ( x -12) 3) #s(literal 3 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(approx (+ (* x -12) 3) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(approx (+ (* x -12) 3) #s(literal 3 binary64)) (.f64 #s(approx (+ ( x -12) 3) #s(literal 3 binary64)) #s(approx (+ (* x -12) 3) #s(literal 3 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) (.f64 x (.f64 x x)))))) (neg.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64)) (.f64 #s(approx (+ (* x -12) 3) #s(literal 3 binary64)) (-.f64 #s(approx (+ (* x -12) 3) #s(literal 3 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64))) (.f64 #s(approx (+ ( x -12) 3) #s(literal 3 binary64)) #s(approx (+ (* x -12) 3) #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(approx (+ (* x -12) 3) #s(literal 3 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(approx (+ ( x -12) 3) #s(literal 3 binary64)) #s(approx (+ (* x -12) 3) #s(literal 3 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64))))) (neg.f64 (-.f64 #s(approx (+ (* x -12) 3) #s(literal 3 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(approx (+ (* x -12) 3) #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 #s(approx (+ ( x -12) 3) #s(literal 3 binary64)) #s(approx (+ (* x -12) 3) #s(literal 3 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(approx (+ (* x -12) 3) #s(literal 3 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(approx (+ (* x -12) 3) #s(literal 3 binary64)))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(approx (+ (* x -12) 3) #s(literal 3 binary64)))) (fma.f64 (/.f64 (.f64 #s(approx (+ ( x -12) 3) #s(literal 3 binary64)) #s(approx (+ (* x -12) 3) #s(literal 3 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(approx (+ (* x -12) 3) #s(literal 3 binary64)))) (/.f64 (.f64 #s(approx (+ ( x -12) 3) #s(literal 3 binary64)) #s(approx (+ (* x -12) 3) #s(literal 3 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(approx (+ (* x -12) 3) #s(literal 3 binary64)))) (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(approx (+ ( x -12) 3) #s(literal 3 binary64)))) (/.f64 (.f64 #s(approx (+ ( x -12) 3) #s(literal 3 binary64)) #s(approx (+ (* x -12) 3) #s(literal 3 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(approx (+ (* x -12) 3) #s(literal 3 binary64))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(approx (+ ( x -12) 3) #s(literal 3 binary64)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(approx (+ (* x -12) 3) #s(literal 3 binary64))))
(.f64 (fma.f64 #s(approx (+ ( x -12) 3) #s(literal 3 binary64)) (.f64 #s(approx (+ ( x -12) 3) #s(literal 3 binary64)) #s(approx (+ (* x -12) 3) #s(literal 3 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64)) (.f64 #s(approx (+ (* x -12) 3) #s(literal 3 binary64)) (-.f64 #s(approx (+ (* x -12) 3) #s(literal 3 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64)))))))
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(.f64 (.f64 #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64)) #s(literal -2985984 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 6561 binary64) #s(literal 20736 binary64)) (.f64 (.f64 x x) #s(literal -11664 binary64)))))
(.f64 (.f64 #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 6561 binary64) #s(literal -20736 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 144 binary64))))
(.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64)) #s(literal -2985984 binary64)) #s(approx (/ 1 (+ ( x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 6561 binary64) #s(literal 20736 binary64)) (.f64 (*.f64 x x) #s(literal -11664 binary64)))))
(.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 6561 binary64) #s(literal -20736 binary64)) #s(approx (/ 1 (+ ( x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal 144 binary64))))
(+.f64 #s(literal -144 binary64) (.f64 (.f64 x x) #s(literal 81 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) #s(literal -144 binary64))
(-.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) #s(literal 144 binary64))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 6561 binary64)) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 144 binary64))) (/.f64 #s(literal 20736 binary64) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 144 binary64))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 6561 binary64) (+.f64 #s(literal 20736 binary64) (.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) #s(literal 144 binary64))))) (/.f64 #s(literal 2985984 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 6561 binary64) (+.f64 #s(literal 20736 binary64) (.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) #s(literal 144 binary64))))))
(-.f64 (/.f64 #s(literal 20736 binary64) (-.f64 #s(literal -144 binary64) (.f64 (.f64 x x) #s(literal 81 binary64)))) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 6561 binary64)) (-.f64 #s(literal -144 binary64) (.f64 (.f64 x x) #s(literal 81 binary64)))))
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))
(fma.f64 x (.f64 #s(literal 9 binary64) (.f64 x #s(literal 9 binary64))) #s(literal -144 binary64))
(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))
(fma.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal -144 binary64))
(fma.f64 (.f64 x #s(literal 9 binary64)) (.f64 x #s(literal 9 binary64)) #s(literal -144 binary64))
(fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -144 binary64))
(fma.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 9 binary64) #s(literal -144 binary64))
(fma.f64 (*.f64 x #s(literal 81 binary64)) x #s(literal -144 binary64))
(fma.f64 (.f64 (.f64 x #s(literal 9 binary64)) #s(literal 9 binary64)) x #s(literal -144 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 20736 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 6561 binary64)) (.f64 (.f64 x x) #s(literal -11664 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 531441 binary64)) #s(literal -2985984 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 6561 binary64) (+.f64 #s(literal 20736 binary64) (.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) #s(literal 144 binary64)))) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64))) #s(literal 2985984 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -144 binary64) (.f64 (.f64 x x) #s(literal 81 binary64))) (-.f64 #s(literal 20736 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 6561 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64)) #s(literal -2985984 binary64)) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 6561 binary64) #s(literal 20736 binary64)) (.f64 (.f64 x x) #s(literal -11664 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64)) #s(literal -2985984 binary64)) (+.f64 #s(literal 20736 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 6561 binary64)) (.f64 (*.f64 x x) #s(literal -11664 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 6561 binary64) #s(literal -20736 binary64)) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 144 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64)) #s(literal -2985984 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 6561 binary64) #s(literal 20736 binary64)) (.f64 (.f64 x x) #s(literal -11664 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64)) #s(literal -2985984 binary64))) (neg.f64 (+.f64 #s(literal 20736 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 6561 binary64)) (.f64 (*.f64 x x) #s(literal -11664 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 6561 binary64) #s(literal -20736 binary64))) (neg.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 144 binary64))))
(/.f64 (-.f64 #s(literal 20736 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 6561 binary64))) (-.f64 #s(literal -144 binary64) (.f64 (.f64 x x) #s(literal 81 binary64))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64))) #s(literal 2985984 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 6561 binary64) (+.f64 #s(literal 20736 binary64) (.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) #s(literal 144 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 6561 binary64)) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 144 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 144 binary64)) #s(literal 20736 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 144 binary64)) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal 144 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64))) #s(literal 2985984 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 6561 binary64) (+.f64 #s(literal 20736 binary64) (.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) #s(literal 144 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64)) #s(literal -2985984 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 6561 binary64) #s(literal 20736 binary64)) (.f64 (.f64 x x) #s(literal -11664 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 6561 binary64) #s(literal -20736 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 144 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 20736 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 6561 binary64)))) (neg.f64 (-.f64 #s(literal -144 binary64) (.f64 (.f64 x x) #s(literal 81 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 6561 binary64)) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 144 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 20736 binary64) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 144 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 6561 binary64)) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 144 binary64))) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 6561 binary64)) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 144 binary64))) (fma.f64 (/.f64 #s(literal 20736 binary64) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 144 binary64))) (/.f64 #s(literal 20736 binary64) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 144 binary64))) (.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 6561 binary64)) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 144 binary64))) (/.f64 #s(literal 20736 binary64) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal 144 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -144 binary64)))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64)) #s(literal -2985984 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 6561 binary64) #s(literal 20736 binary64)) (.f64 (*.f64 x x) #s(literal -11664 binary64)))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64)) #s(literal -2985984 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 20736 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 6561 binary64)) (.f64 (.f64 x x) #s(literal -11664 binary64))))))
(.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 6561 binary64) #s(literal -20736 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal 144 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64)) #s(literal -2985984 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 6561 binary64) #s(literal 20736 binary64)) (.f64 (*.f64 x x) #s(literal -11664 binary64))))))
(.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 6561 binary64) #s(literal -20736 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal 144 binary64)))))
(.f64 (-.f64 #s(literal 20736 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 6561 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -144 binary64) (.f64 (*.f64 x x) #s(literal 81 binary64)))))
(.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64))) #s(literal 2985984 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 6561 binary64) (+.f64 #s(literal 20736 binary64) (.f64 (.f64 (*.f64 x x) #s(literal 81 binary64)) #s(literal 144 binary64))))))
#s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 9 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x #s(literal 9 binary64)))))
(/.f64 #s(literal 1/9 binary64) x)
(/.f64 #s(literal 1/9 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x #s(literal 9 binary64))))
(/.f64 #s(literal -1/9 binary64) (neg.f64 x))
(/.f64 #s(literal -1/9 binary64) (neg.f64 (neg.f64 (neg.f64 x))))
(pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x #s(literal 9 binary64)))))
(*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64))

eval132.0ms (1.7%)

Memory: -11.7MiB live, 111.0MiB allocated
Compiler: Compiled 8 352 to 692 computations (91.7% saved)

prune61.0ms (0.8%)

Memory

3.3MiB live, 115.0MiB allocated

Pruning

13 alts after pruning (1 fresh and 12 done)

	Pruned	Kept	Total
New	445	1	446
Fresh	0	0	0
Picked	1	4	5
Done	0	8	8
Total	446	13	459

Accuracy

100.0%

Counts

459 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
✓	49.5%	(fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( x -12) 3) (*.f64 x #s(literal -12 binary64))))
✓	98.4%	(fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( x -12) 3) #s(literal 3 binary64)))
✓	49.0%	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 x (.f64 x #s(literal 3 binary64)))))
✓	53.9%	#s(approx (+ (* (* x x) 9) (+ (* x -12) 3)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
✓	49.5%	#s(approx (+ (* (* x x) 9) (+ (* x -12) 3)) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
✓	49.0%	#s(approx (+ (* (* x x) 9) (+ (* x -12) 3)) (.f64 x (.f64 x #s(literal 9 binary64))))
✓	4.2%	#s(approx (+ (* (* x x) 9) (+ (* x -12) 3)) (.f64 x #s(approx (+ ( x 9) -12) #s(literal -12 binary64))))
✓	99.9%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64)))
	98.2%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (.f64 #s(approx (+ ( (* x x) 81) -144) (.f64 x (.f64 x #s(literal 81 binary64)))) #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)))
✓	49.0%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
✓	48.9%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64))))
✓	53.6%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Compiler

Compiled 279 to 112 computations (59.9% saved)

regimes26.0ms (0.3%)

Memory

8.6MiB live, 54.0MiB allocated

Counts

20 → 1

Calls

Call 1

Inputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))
#s(approx (+ (* (* x x) 9) (+ (* x -12) 3)) (.f64 x #s(approx (+ ( x 9) -12) #s(literal -12 binary64))))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
#s(approx (+ (* (* x x) 9) (+ (* x -12) 3)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
#s(approx (+ (* (* x x) 9) (+ (* x -12) 3)) (.f64 x (.f64 x #s(literal 9 binary64))))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
#s(approx (+ (* (* x x) 9) (+ (* x -12) 3)) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
(fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( x -12) 3) #s(literal 3 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64))))
(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 x (.f64 x #s(literal 3 binary64)))))
(fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( x -12) 3) (*.f64 x #s(literal -12 binary64))))
(fma.f64 (*.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64))
(fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(fma.f64 (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) #s(literal 3 binary64) #s(literal 3 binary64))
(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (.f64 #s(approx (+ ( (* x x) 81) -144) (.f64 x (.f64 x #s(literal 81 binary64)))) #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(approx (/ 1 (+ (* x 9) 12)) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) #s(literal 3 binary64)))

Outputs
(fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))

Calls

4 calls:

8.0ms	(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
6.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
6.0ms	x
5.0ms	(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))`
99.9%	1	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
99.9%	1	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))`

Compiler

Compiled 38 to 27 computations (28.9% saved)

regimes19.0ms (0.3%)

Memory

-0.2MiB live, 38.5MiB allocated

Counts

14 → 1

Calls

Call 1

Inputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))
#s(approx (+ (* (* x x) 9) (+ (* x -12) 3)) (.f64 x #s(approx (+ ( x 9) -12) #s(literal -12 binary64))))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
#s(approx (+ (* (* x x) 9) (+ (* x -12) 3)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
#s(approx (+ (* (* x x) 9) (+ (* x -12) 3)) (.f64 x (.f64 x #s(literal 9 binary64))))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
#s(approx (+ (* (* x x) 9) (+ (* x -12) 3)) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
(fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( x -12) 3) #s(literal 3 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64))))
(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 x (.f64 x #s(literal 3 binary64)))))
(fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( x -12) 3) (*.f64 x #s(literal -12 binary64))))
(fma.f64 (*.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64))

Outputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64)))

Calls

4 calls:

5.0ms	(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
5.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
5.0ms	x
4.0ms	(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))`
99.9%	1	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
99.9%	1	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))`

Compiler

Compiled 38 to 27 computations (28.9% saved)

regimes22.0ms (0.3%)

Memory

-13.4MiB live, 25.0MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))
#s(approx (+ (* (* x x) 9) (+ (* x -12) 3)) (.f64 x #s(approx (+ ( x 9) -12) #s(literal -12 binary64))))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
#s(approx (+ (* (* x x) 9) (+ (* x -12) 3)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
#s(approx (+ (* (* x x) 9) (+ (* x -12) 3)) (.f64 x (.f64 x #s(literal 9 binary64))))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
#s(approx (+ (* (* x x) 9) (+ (* x -12) 3)) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
(fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( x -12) 3) #s(literal 3 binary64)))

Outputs
(fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( x -12) 3) #s(literal 3 binary64)))

Calls

4 calls:

12.0ms	x
3.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
3.0ms	(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
3.0ms	(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
98.4%	1	`x`
98.4%	1	`(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))`
98.4%	1	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
98.4%	1	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))`

Compiler

Compiled 38 to 27 computations (28.9% saved)

regimes12.0ms (0.2%)

Memory

23.1MiB live, 23.1MiB allocated

Counts

8 → 2

Calls

Call 1

Inputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))
#s(approx (+ (* (* x x) 9) (+ (* x -12) 3)) (.f64 x #s(approx (+ ( x 9) -12) #s(literal -12 binary64))))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
#s(approx (+ (* (* x x) 9) (+ (* x -12) 3)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
#s(approx (+ (* (* x x) 9) (+ (* x -12) 3)) (.f64 x (.f64 x #s(literal 9 binary64))))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
#s(approx (+ (* (* x x) 9) (+ (* x -12) 3)) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))

Outputs

#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))

#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))

Calls

4 calls:

3.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
3.0ms	x
3.0ms	(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
3.0ms	(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
99.2%	3	`x`
99.2%	2	`(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))`
99.2%	2	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
99.2%	2	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))`

Compiler

Compiled 38 to 27 computations (28.9% saved)

regimes7.0ms (0.1%)

Memory

13.3MiB live, 13.3MiB allocated

Counts

6 → 2

Calls

Call 1

Inputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))
#s(approx (+ (* (* x x) 9) (+ (* x -12) 3)) (.f64 x #s(approx (+ ( x 9) -12) #s(literal -12 binary64))))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
#s(approx (+ (* (* x x) 9) (+ (* x -12) 3)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
#s(approx (+ (* (* x x) 9) (+ (* x -12) 3)) (.f64 x (.f64 x #s(literal 9 binary64))))

Outputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))

Calls

3 calls:

3.0ms

(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))

2.0ms

(+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))

2.0ms

(*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
98.6%	2	`(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))`
98.6%	2	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
98.6%	2	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))`

Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes36.0ms (0.5%)

Memory

-19.4MiB live, 19.7MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))
#s(approx (+ (* (* x x) 9) (+ (* x -12) 3)) (.f64 x #s(approx (+ ( x 9) -12) #s(literal -12 binary64))))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
#s(approx (+ (* (* x x) 9) (+ (* x -12) 3)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))

Outputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))

Calls

4 calls:

30.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
2.0ms	x
2.0ms	(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
2.0ms	(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
53.9%	1	`x`
53.9%	1	`(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))`
53.9%	1	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
53.9%	1	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))`

Compiler

Compiled 38 to 27 computations (28.9% saved)

regimes6.0ms (0.1%)

Memory

20.5MiB live, 20.6MiB allocated

Accuracy

Total -32.3b remaining (-108.9%)

Threshold costs -32.3b (-108.9%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))
#s(approx (+ (* (* x x) 9) (+ (* x -12) 3)) (.f64 x #s(approx (+ ( x 9) -12) #s(literal -12 binary64))))

Outputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Calls

4 calls:

2.0ms	x
2.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
1.0ms	(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
1.0ms	(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
53.6%	1	`x`
53.6%	1	`(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))`
53.6%	1	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
53.6%	1	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))`

Compiler

Compiled 38 to 27 computations (28.9% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.2349575551142685e-5	45815015.09261128

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch4.0ms (0%)

Memory

-55.4MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.2349575551142685e-5	45815015.09261128

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify9.0ms (0.1%)

Memory

18.6MiB live, 18.6MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
8×	`+-commutative_binary64`
8×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	174
1	49	174
2	60	174
3	66	174
4	70	174
5	71	174

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64)))
(fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( x -12) 3) #s(literal 3 binary64)))
(if (<=.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx ( 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))) #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))))
(if (<=.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx ( 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))) #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64))))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Outputs
(fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64)))
(fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( x -12) 3) #s(literal 3 binary64)))
(if (<=.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx ( 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))) #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))))
(if (<=.f64 (-.f64 (.f64 x (.f64 x #s(literal 3 binary64))) (.f64 x #s(literal 4 binary64))) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx ( 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))) #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))))
(if (<=.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx ( 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))) #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64))))
(if (<=.f64 (-.f64 (.f64 x (.f64 x #s(literal 3 binary64))) (.f64 x #s(literal 4 binary64))) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx ( 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))) #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64))))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

soundness1.0s (13.6%)

Memory

28.0MiB live, 495.8MiB allocated

Rules

8 226×	`lower-fma.f64`
8 226×	`lower-fma.f32`
7 126×	`lower-fma.f64`
7 126×	`lower-fma.f32`
6 316×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	308
1	137	308
2	323	308
3	753	308
4	1956	304
5	4214	304
6	5944	304
7	7664	304
0	8049	265
0	48	816
1	127	816
2	315	816
3	773	792
4	1848	792
5	3619	792
6	5439	792
7	6803	792
8	7996	792
0	8008	675
0	10	38
0	16	38
1	61	32
2	451	32
3	7371	32
0	8608	27

Stop Event

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

Compiler

Compiled 145 to 70 computations (51.7% saved)

preprocess146.0ms (1.9%)

Memory: -1.7MiB live, 161.2MiB allocated
Compiler: Compiled 210 to 80 computations (61.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample876.0ms (11.6%)

explain227.0ms (3%)

preprocess107.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify57.0ms (0.8%)

localize92.0ms (1.2%)

series4.0ms (0.1%)

simplify150.0ms (2%)

rewrite427.0ms (5.6%)

eval86.0ms (1.1%)

prune102.0ms (1.3%)

simplify71.0ms (0.9%)

localize108.0ms (1.4%)

series8.0ms (0.1%)

simplify188.0ms (2.5%)

rewrite594.0ms (7.9%)

eval395.0ms (5.2%)

prune104.0ms (1.4%)

simplify277.0ms (3.7%)

localize190.0ms (2.5%)

series11.0ms (0.2%)

simplify226.0ms (3%)

rewrite422.0ms (5.6%)

eval99.0ms (1.3%)

prune156.0ms (2.1%)

simplify209.0ms (2.8%)

localize132.0ms (1.7%)

series12.0ms (0.2%)

simplify217.0ms (2.9%)

rewrite506.0ms (6.7%)

eval132.0ms (1.7%)

prune61.0ms (0.8%)

regimes26.0ms (0.3%)

regimes19.0ms (0.3%)

regimes22.0ms (0.3%)

regimes12.0ms (0.2%)

regimes7.0ms (0.1%)

regimes36.0ms (0.5%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch4.0ms (0%)

simplify9.0ms (0.1%)

soundness1.0s (13.6%)

preprocess146.0ms (1.9%)

end0.0ms (0%)

Profiling