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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.9MiB live, 0.9MiB 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)

sample949.0ms (17%)

Memory

-13.3MiB live, 1 080.4MiB allocated

Samples

546.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 372.0ms

ival-mult: 265.0ms (71.3% of total)

ival-sub: 47.0ms (12.6% of total)

ival-add: 39.0ms (10.5% 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

explain125.0ms (2.2%)

Memory

14.6MiB live, 176.9MiB 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

32.0ms

512×

valid

Compiler

Compiled 114 to 34 computations (70.2% saved)

Precisions

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

ival-mult: 12.0ms (65.7% of total)

ival-sub: 3.0ms (16.4% of total)

ival-add: 2.0ms (11% of total)

exact: 1.0ms (5.5% of total)

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

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

preprocess125.0ms (2.2%)

Memory

10.6MiB live, 85.8MiB 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 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #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)

simplify51.0ms (0.9%)

Memory

-2.1MiB live, 33.8MiB 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 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #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 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x #s(literal 1 binary64))
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x)
(.f64 (.f64 x #s(literal 3 binary64)) x)
(*.f64 x #s(literal 3 binary64))
x
(*.f64 x #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) x)
#s(literal 4 binary64)
#s(literal 1 binary64)

localize72.0ms (1.3%)

Memory

-11.6MiB live, 60.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x #s(literal 3 binary64))
accuracy	0.00390625	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
accuracy	0.0859375	(.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	0.140625	(.f64 (.f64 x #s(literal 3 binary64)) x)

Samples

38.0ms

256×

valid

Compiler

Compiled 50 to 12 computations (76% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-sub: 23.0ms (73.3% of total)

ival-mult: 6.0ms (19.1% of total)

ival-add: 1.0ms (3.2% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

14.6MiB live, 14.6MiB allocated

Counts

5 → 60

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>) () ())
#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<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>) () ())) ())
#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>) () ())) ())

Calls

15 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)
0.0ms	x	@	inf	(* (* x 3) x)
0.0ms	x	@	0	(* x 3)

simplify111.0ms (2%)

Memory

6.8MiB live, 130.6MiB 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	344
1	137	344
2	323	344
3	753	344
4	1956	340
5	4214	340
6	5944	340
7	7664	340
0	8049	301

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

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))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)

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

rewrite257.0ms (4.6%)

Memory

20.8MiB live, 324.8MiB 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	41
0	16	41
1	61	35
2	451	35
3	7371	35
0	8608	30

Stop Event

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

Counts

5 → 343

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

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

eval84.0ms (1.5%)

Memory: -17.8MiB live, 108.9MiB allocated
Compiler: Compiled 12 955 to 1 146 computations (91.2% saved)

prune59.0ms (1.1%)

Memory

-5.6MiB live, 150.5MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	395	8	403
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	396	8	404

Accuracy

100.0%

Counts

404 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
	99.8%	(fma.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #s(literal 3 binary64))
▶	52.2%	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 (.f64 x x) #s(literal 3 binary64))))
▶	99.9%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)))
	51.0%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
	52.4%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))
▶	52.2%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 9 binary64) x) x))
▶	50.4%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Compiler

Compiled 124 to 78 computations (37.1% saved)

simplify132.0ms (2.4%)

Memory

0.5MiB live, 39.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

1 544×	`lower-fma.f32`
1 536×	`lower-fma.f64`
628×	`lower-*.f32`
618×	`lower-*.f64`
256×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	147
0	37	145
1	74	135
2	110	123
3	194	123
4	305	123
5	406	123
6	619	123
7	962	123
8	1264	123
9	1336	123
10	1373	123
11	1379	123
12	1379	123
0	1379	119

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

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

localize107.0ms (1.9%)

Memory

-37.5MiB live, 107.0MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.08203125	(fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0.0859375	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 (.f64 x x) #s(literal 3 binary64))))
accuracy	0.1015625	(.f64 (.f64 x x) #s(literal 3 binary64))
accuracy	30.502588921343552	#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (.f64 (.f64 x x) #s(literal 3 binary64)))
accuracy	0	(*.f64 #s(literal 9 binary64) x)
accuracy	0.12890625	(.f64 (.f64 #s(literal 9 binary64) x) x)
accuracy	30.498784955464348	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 9 binary64) x) x))
accuracy	31.72886396477093	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))
accuracy	0	(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
accuracy	0	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)))
accuracy	0.07421875	(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))

Samples

59.0ms	230×	0	valid
4.0ms	16×	1	valid
3.0ms	10×	2	valid

Compiler

Compiled 127 to 25 computations (80.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 17.0ms (58.6% of total)

ival-add: 9.0ms (31% of total)

adjust: 1.0ms (3.4% of total)

ival-sub: 1.0ms (3.4% of total)

exact: 1.0ms (3.4% of total)

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

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

series8.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated

Counts

13 → 156

Calls

Call 1

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

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

Calls

39 calls:

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

simplify165.0ms (2.9%)

Memory

-10.8MiB live, 108.6MiB allocated

Algorithm

1×	egg-herbie

Rules

5 766×	`lower-fma.f64`
5 766×	`lower-fma.f32`
2 578×	`lower-*.f64`
2 578×	`lower-*.f32`
1 136×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	912
1	160	912
2	395	912
3	991	884
4	2471	884
5	4593	884
6	7034	884
0	8032	761

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

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))))
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
(+ 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))
(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 (* 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)))))

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

rewrite451.0ms (8.1%)

Memory

32.3MiB live, 220.8MiB allocated

Rules

8 306×	`lower-fma.f32`
8 298×	`lower-fma.f64`
4 360×	`lower-*.f32`
4 350×	`lower-*.f64`
3 878×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	131
0	37	129
1	149	119
2	1101	119
0	8411	109

Stop Event

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

Counts

13 → 287

Calls

Call 1

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

Outputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64)))))
(.f64 (-.f64 #s(literal 9 binary64) (.f64 (.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) x) (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) (fma.f64 #s(literal -9 binary64) (.f64 x x) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) (.f64 x x) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))))
(.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 729 binary64) (.f64 (.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81 binary64) (.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64))))))))
(.f64 (neg.f64 (fma.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) x) (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))) (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) x) (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) (-.f64 #s(literal 9 binary64) (.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 3 binary64)))))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 9 binary64) (fma.f64 #s(literal 12 binary64) x #s(literal -3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -9 binary64) (.f64 x x) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))))
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 729 binary64) (.f64 (.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (-.f64 (.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (.f64 x x)) (.f64 (.f64 x x) (fma.f64 x #s(literal -108 binary64) #s(literal 27 binary64)))))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 729 binary64) (.f64 (.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81 binary64) (.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64)))))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) x) (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))) (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) x) (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) (.f64 #s(literal -3 binary64) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) x) (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))) (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) x) (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) (-.f64 #s(literal 9 binary64) (.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 3 binary64))))))
(*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 9 binary64) (fma.f64 #s(literal 12 binary64) x #s(literal -3 binary64)))) (/.f64 (.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 9 binary64) (fma.f64 #s(literal 12 binary64) x #s(literal -3 binary64))))) (.f64 (/.f64 (.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) (fma.f64 (.f64 x x) #s(literal 9 binary64) (fma.f64 #s(literal 12 binary64) x #s(literal -3 binary64)))) (/.f64 (.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) (fma.f64 (.f64 x x) #s(literal 9 binary64) (fma.f64 #s(literal 12 binary64) x #s(literal -3 binary64)))))) (+.f64 (/.f64 (.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 9 binary64) (fma.f64 #s(literal 12 binary64) x #s(literal -3 binary64)))) (/.f64 (.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 #s(literal 12 binary64) x #s(literal -3 binary64))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) x) (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64))) (/.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) x) (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64)))) (.f64 (/.f64 #s(literal 9 binary64) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64))))) (+.f64 (/.f64 (.f64 (.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) x) (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64)))))
(/.f64 (-.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(literal 3 binary64))) (.f64 #s(literal 144 binary64) (.f64 x x))) (-.f64 (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(literal 3 binary64)) (*.f64 #s(literal -12 binary64) x)))
(/.f64 (-.f64 (.f64 #s(literal 144 binary64) (.f64 x x)) (.f64 (+.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal 9 binary64))) (+.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal 9 binary64))))) (-.f64 (.f64 #s(literal -12 binary64) x) (+.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal 9 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 9 binary64) (fma.f64 #s(literal 12 binary64) x #s(literal -3 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) (fma.f64 (.f64 x x) #s(literal 9 binary64) (fma.f64 #s(literal 12 binary64) x #s(literal -3 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 9 binary64) (fma.f64 #s(literal 12 binary64) x #s(literal -3 binary64)))) (/.f64 (.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 9 binary64) (fma.f64 #s(literal 12 binary64) x #s(literal -3 binary64)))) (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) (fma.f64 (.f64 x x) #s(literal 9 binary64) (fma.f64 #s(literal 12 binary64) x #s(literal -3 binary64)))) (/.f64 (.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) (fma.f64 (.f64 x x) #s(literal 9 binary64) (fma.f64 #s(literal 12 binary64) x #s(literal -3 binary64)))) (.f64 (/.f64 (.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 9 binary64) (fma.f64 #s(literal 12 binary64) x #s(literal -3 binary64)))) (/.f64 (.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 #s(literal 12 binary64) x #s(literal -3 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) x) (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 9 binary64) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) x) (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64))) (/.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) x) (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64))) (fma.f64 (/.f64 #s(literal 9 binary64) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64))) (.f64 (/.f64 (.f64 (.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) x) (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64)))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(literal 3 binary64)) #s(literal 3 binary64)) (.f64 (.f64 (.f64 x x) x) #s(literal -1728 binary64))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 144 binary64) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(literal 3 binary64)) (*.f64 #s(literal -12 binary64) x)))))
(/.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal -1728 binary64) (pow.f64 (+.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal 9 binary64))) #s(literal 3 binary64))) (fma.f64 #s(literal 144 binary64) (.f64 x x) (-.f64 (.f64 (+.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal 9 binary64))) (+.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal 9 binary64)))) (.f64 (.f64 #s(literal -12 binary64) x) (+.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal 9 binary64)))))))
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(/.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal -1728 binary64) #s(literal 27 binary64)) (fma.f64 #s(literal 144 binary64) (.f64 x x) (-.f64 #s(literal 9 binary64) (.f64 x #s(literal -36 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 3 binary64) (.f64 #s(literal -12 binary64) x)) (-.f64 #s(literal 9 binary64) (.f64 #s(literal 144 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 9 binary64) (fma.f64 #s(literal 144 binary64) (.f64 x x) (.f64 x #s(literal 36 binary64)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1728 binary64) #s(literal 27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))))
(neg.f64 (fma.f64 #s(literal 12 binary64) x #s(literal -3 binary64)))
(fma.f64 (.f64 #s(literal 144 binary64) (.f64 x x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 12 binary64) x #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal 12 binary64) x #s(literal 3 binary64)))))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(-.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal -12 binary64) x))) (/.f64 (.f64 #s(literal 144 binary64) (.f64 x x)) (-.f64 #s(literal 3 binary64) (.f64 #s(literal -12 binary64) x))))
(-.f64 (/.f64 (.f64 #s(literal 144 binary64) (.f64 x x)) (fma.f64 #s(literal -12 binary64) x #s(literal -3 binary64))) (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal 12 binary64) x #s(literal 3 binary64))))
(+.f64 (/.f64 (.f64 #s(literal 144 binary64) (.f64 x x)) (fma.f64 #s(literal -12 binary64) x #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal 12 binary64) x #s(literal 3 binary64)))))
(+.f64 (*.f64 #s(literal -12 binary64) x) #s(literal 3 binary64))
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal -12 binary64) x))

eval54.0ms (1%)

Memory: -1.1MiB live, 155.4MiB allocated
Compiler: Compiled 9 790 to 578 computations (94.1% saved)

prune82.0ms (1.5%)

Memory

-1.0MiB live, 126.4MiB allocated

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	457	4	461
Fresh	2	1	3
Picked	1	4	5
Done	0	0	0
Total	460	9	469

Accuracy

100.0%

Counts

469 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #s(literal 3 binary64))
✓	52.2%	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 (.f64 x x) #s(literal 3 binary64))))
▶	51.0%	#s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
▶	52.4%	#s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))
▶	52.2%	#s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (.f64 (.f64 x x) #s(literal 9 binary64)))
✓	99.9%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)))
▶	99.5%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -144 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal -12 binary64)))) x #s(literal 3 binary64)))
✓	52.2%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 9 binary64) x) x))
✓	50.4%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Compiler

Compiled 126 to 81 computations (35.7% saved)

simplify220.0ms (3.9%)

Memory

3.1MiB live, 76.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

3 528×	`lower-fma.f32`
3 514×	`lower-fma.f64`
1 616×	`lower-*.f32`
1 606×	`lower-*.f64`
614×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	182
0	57	182
1	111	170
2	203	167
3	343	167
4	654	167
5	1030	167
6	1546	167
7	2433	167
8	3414	167
9	3913	167
10	4091	167
11	4110	167
12	4113	167
13	4295	167
14	4372	167
15	4420	167
16	4424	167
17	4424	167
18	4424	167
19	4424	167
20	4429	167
0	4429	159

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize137.0ms (2.5%)

Memory

-4.1MiB live, 228.0MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.05859375	(fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -144 binary64))
accuracy	0.07421875	(fma.f64 (.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -144 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal -12 binary64)))) x #s(literal 3 binary64))
accuracy	0.15234375	(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal -12 binary64)))
accuracy	14.923617480920592	(.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -144 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal -12 binary64))))
accuracy	0	(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
accuracy	0.15625	(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)
accuracy	30.37018897163254	#s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))
accuracy	0	(*.f64 x x)
accuracy	0.154628759768442	(.f64 (.f64 x x) #s(literal 9 binary64))
accuracy	30.498784955464348	#s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (.f64 (.f64 x x) #s(literal 9 binary64)))
accuracy	0	(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
accuracy	31.349010308144592	#s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
accuracy	0	(fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))
accuracy	0	(*.f64 #s(literal 3 binary64) x)
accuracy	0.10060502930532605	(fma.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #s(literal 3 binary64))

Samples

64.0ms	201×	0	valid
19.0ms	29×	1	valid
12.0ms	26×	2	valid

Compiler

Compiled 166 to 39 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-mult: 32.0ms (51.8% of total)

ival-add: 20.0ms (32.4% of total)

adjust: 5.0ms (8.1% of total)

ival-div: 2.0ms (3.2% of total)

ival-sub: 1.0ms (1.6% of total)

exact: 1.0ms (1.6% of total)

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

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

series12.0ms (0.2%)

Memory

21.4MiB live, 21.4MiB allocated

Counts

16 → 192

Calls

Call 1

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

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

Calls

48 calls:

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

simplify154.0ms (2.7%)

Memory

-2.2MiB live, 153.5MiB allocated

Algorithm

1×	egg-herbie

Rules

10 022×	`lower-fma.f64`
10 022×	`lower-fma.f32`
2 548×	`lower-*.f64`
2 548×	`lower-*.f32`
2 198×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	112	1148
1	304	1140
2	709	1140
3	1672	1094
4	4238	1094
5	7812	1094
0	8077	944

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

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

rewrite251.0ms (4.5%)

Memory

-11.6MiB live, 282.2MiB allocated

Rules

6 636×	`lower-fma.f32`
6 622×	`lower-fma.f64`
4 266×	`lower-*.f32`
4 256×	`lower-*.f64`
3 768×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	157
0	57	157
1	239	142
2	1943	127
0	8420	119

Stop Event

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

Counts

16 → 434

Calls

Call 1

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

Outputs
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) (-.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))))
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 729 binary64) (.f64 (.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81 binary64) (.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (.f64 (.f64 #s(literal 9 binary64) x) x))))))
(.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)) (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) (-.f64 #s(literal 9 binary64) (.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 3 binary64))))))
(*.f64 (fma.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x #s(literal 1 binary64)) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x #s(literal 1 binary64)))
(pow.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) (.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) (-.f64 (.f64 (*.f64 #s(literal 9 binary64) x) x) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81 binary64) (.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (.f64 (.f64 #s(literal 9 binary64) x) x)))) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 729 binary64) (.f64 (*.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64)) (fma.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal -9 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) (-.f64 #s(literal 9 binary64) (.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 3 binary64)))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)) (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 27 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (.f64 x x)) (-.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) (-.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (.f64 x x)) (-.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))) (/.f64 (.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (.f64 x x)) (-.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))) (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) (-.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))) (/.f64 (.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) (-.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))) (.f64 (/.f64 (.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (.f64 x x)) (-.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))) (/.f64 (.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) (-.f64 (.f64 (*.f64 #s(literal 9 binary64) x) x) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 9 binary64) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64))) (/.f64 (.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64))) (fma.f64 (/.f64 #s(literal 9 binary64) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64))) (.f64 (/.f64 (.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64)))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal 3 binary64)) #s(literal 3 binary64)) (.f64 (.f64 (.f64 x x) x) #s(literal -1728 binary64))) (fma.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 144 binary64) (.f64 x x)) (.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal 3 binary64)) (*.f64 #s(literal -12 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 3 binary64) (.f64 (.f64 #s(literal 9 binary64) x) x)) #s(literal 3 binary64)) (.f64 (.f64 (.f64 x x) x) #s(literal -1728 binary64))) (fma.f64 (+.f64 #s(literal 3 binary64) (.f64 (.f64 #s(literal 9 binary64) x) x)) (+.f64 #s(literal 3 binary64) (.f64 (.f64 #s(literal 9 binary64) x) x)) (-.f64 (.f64 #s(literal 144 binary64) (.f64 x x)) (.f64 (+.f64 #s(literal 3 binary64) (.f64 (.f64 #s(literal 9 binary64) x) x)) (*.f64 #s(literal -12 binary64) x)))))
(/.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal -1728 binary64) (pow.f64 (+.f64 #s(literal 3 binary64) (.f64 (.f64 #s(literal 9 binary64) x) x)) #s(literal 3 binary64))) (fma.f64 #s(literal 144 binary64) (.f64 x x) (-.f64 (.f64 (+.f64 #s(literal 3 binary64) (.f64 (.f64 #s(literal 9 binary64) x) x)) (+.f64 #s(literal 3 binary64) (.f64 (.f64 #s(literal 9 binary64) x) x))) (.f64 (.f64 #s(literal -12 binary64) x) (+.f64 #s(literal 3 binary64) (.f64 (.f64 #s(literal 9 binary64) x) x))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) #s(literal -1 binary64)) #s(literal 3 binary64))) (neg.f64 (fma.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x)) (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) #s(literal 1 binary64)) #s(literal 3 binary64))) (neg.f64 (fma.f64 (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x)))))
(/.f64 (neg.f64 (.f64 #s(literal 3 binary64) (fma.f64 (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 #s(literal 3 binary64) (fma.f64 (.f64 (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x)) (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x)))))
(/.f64 (neg.f64 (-.f64 (.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) (.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (.f64 x x)))) (neg.f64 (-.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (.f64 (*.f64 #s(literal 9 binary64) x) x))))
(/.f64 (neg.f64 (-.f64 #s(literal 9 binary64) (.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)))) (neg.f64 (-.f64 #s(literal 3 binary64) (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))))
(/.f64 (neg.f64 (neg.f64 (.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) (-.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (-.f64 (.f64 (*.f64 #s(literal 9 binary64) x) x) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 729 binary64) (.f64 (.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81 binary64) (.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (.f64 (*.f64 #s(literal 9 binary64) x) x)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal -9 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64)))))
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(-.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal 3 binary64) (.f64 (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 12 binary64)) #s(literal -1 binary64)) x))) (/.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 12 binary64)) #s(literal -1 binary64)) x) (.f64 (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 12 binary64)) #s(literal -1 binary64)) x)) (-.f64 #s(literal 3 binary64) (.f64 (*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 12 binary64)) #s(literal -1 binary64)) x))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 12 binary64)) #s(literal -1 binary64)) x) (.f64 (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 12 binary64)) #s(literal -1 binary64)) x)) (fma.f64 (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 12 binary64)) #s(literal -1 binary64)) x #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 12 binary64)) #s(literal -1 binary64)) x #s(literal -3 binary64))))
(+.f64 (.f64 (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 12 binary64)) #s(literal -1 binary64)) x) #s(literal 3 binary64))
(+.f64 #s(literal 3 binary64) (.f64 (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 12 binary64)) #s(literal -1 binary64)) x))
(.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 #s(literal 81 binary64) (*.f64 x x) #s(literal 144 binary64))))
(.f64 (fma.f64 (.f64 #s(literal 531441 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #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 x x) #s(literal -11664 binary64))))))
(pow.f64 (/.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 144 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 6561 binary64) #s(literal -20736 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 6561 binary64) (-.f64 #s(literal 20736 binary64) (.f64 (.f64 x x) #s(literal -11664 binary64)))) (fma.f64 (.f64 #s(literal 531441 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -2985984 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 6561 binary64)) (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 144 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 20736 binary64) (fma.f64 #s(literal 81 binary64) (.f64 x x) #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 #s(literal 81 binary64) (.f64 x x) #s(literal 144 binary64))) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 6561 binary64)) (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 144 binary64))) (fma.f64 (/.f64 #s(literal 20736 binary64) (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 144 binary64))) (/.f64 #s(literal 20736 binary64) (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 144 binary64))) (.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 6561 binary64)) (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 144 binary64))) (/.f64 #s(literal 20736 binary64) (fma.f64 #s(literal 81 binary64) (*.f64 x x) #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 #s(literal 81 binary64) (.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 #s(literal 531441 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)) #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 #s(literal 81 binary64) (.f64 x x)) #s(literal 144 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 #s(literal 81 binary64) (.f64 x x) #s(literal 144 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 531441 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -2985984 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 6561 binary64) (-.f64 #s(literal 20736 binary64) (.f64 (.f64 x x) #s(literal -11664 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 6561 binary64)) (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 144 binary64))) (.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 144 binary64)) #s(literal 20736 binary64))) (.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 144 binary64)) (fma.f64 #s(literal 81 binary64) (*.f64 x x) #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 #s(literal 81 binary64) (.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 531441 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)) #s(literal 2985984 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 6561 binary64) (+.f64 #s(literal 20736 binary64) (.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal 144 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 #s(literal 81 binary64) (.f64 x x) #s(literal 144 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 531441 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #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 #s(literal 531441 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #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 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 #s(literal 81 binary64) (.f64 x x) #s(literal 144 binary64)))
(/.f64 (fma.f64 (.f64 #s(literal 531441 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #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 #s(literal 531441 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -2985984 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 6561 binary64) (-.f64 #s(literal 20736 binary64) (.f64 (.f64 x x) #s(literal -11664 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 144 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 6561 binary64) #s(literal -20736 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 x x) #s(literal -11664 binary64)))) (fma.f64 (.f64 #s(literal 531441 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -2985984 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 144 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 6561 binary64) #s(literal -20736 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 6561 binary64) (-.f64 #s(literal 20736 binary64) (.f64 (.f64 x x) #s(literal -11664 binary64)))) (fma.f64 (.f64 #s(literal 531441 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -2985984 binary64)))))
(fma.f64 (.f64 (.f64 #s(literal -9 binary64) x) #s(literal -9 binary64)) x #s(literal -144 binary64))
(fma.f64 (.f64 (.f64 #s(literal -9 binary64) x) x) #s(literal -9 binary64) #s(literal -144 binary64))
(fma.f64 (.f64 (.f64 #s(literal 9 binary64) x) #s(literal 9 binary64)) x #s(literal -144 binary64))
(fma.f64 (*.f64 #s(literal 81 binary64) x) x #s(literal -144 binary64))
(fma.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) #s(literal 9 binary64) #s(literal -144 binary64))
(fma.f64 (.f64 #s(literal 9 binary64) x) (.f64 #s(literal 9 binary64) x) #s(literal -144 binary64))
(fma.f64 (.f64 #s(literal -9 binary64) x) (.f64 #s(literal -9 binary64) x) #s(literal -144 binary64))
(fma.f64 #s(literal -9 binary64) (.f64 x (.f64 #s(literal -9 binary64) x)) #s(literal -144 binary64))
(fma.f64 #s(literal 81 binary64) (*.f64 x x) #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 #s(literal 9 binary64) x) x) #s(literal -144 binary64))
(fma.f64 x (.f64 #s(literal -9 binary64) (.f64 #s(literal -9 binary64) x)) #s(literal -144 binary64))
(fma.f64 x (.f64 #s(literal 9 binary64) (.f64 #s(literal 9 binary64) x)) #s(literal -144 binary64))
(fma.f64 x (*.f64 #s(literal 81 binary64) x) #s(literal -144 binary64))
(-.f64 (/.f64 #s(literal 20736 binary64) (-.f64 #s(literal -144 binary64) (.f64 #s(literal 81 binary64) (.f64 x x)))) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 6561 binary64)) (-.f64 #s(literal -144 binary64) (.f64 #s(literal 81 binary64) (.f64 x x)))))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 531441 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 6561 binary64) (+.f64 #s(literal 20736 binary64) (.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #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 #s(literal 81 binary64) (.f64 x x)) #s(literal 144 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 6561 binary64)) (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 144 binary64))) (/.f64 #s(literal 20736 binary64) (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 144 binary64))))
(-.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal 144 binary64))
(+.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal -144 binary64))
(+.f64 #s(literal -144 binary64) (.f64 #s(literal 81 binary64) (.f64 x x)))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -144 binary64))) (fma.f64 #s(literal -9 binary64) x #s(literal 12 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -729 binary64) (.f64 (.f64 x x) x) #s(literal -1728 binary64))) (fma.f64 #s(literal 81 binary64) (.f64 x x) (-.f64 #s(literal 144 binary64) (*.f64 x #s(literal 108 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal -12 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal -12 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal -12 binary64))))
(pow.f64 (/.f64 (*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -12 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -12 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -12 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -12 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -12 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -12 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -12 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -12 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -12 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -12 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -12 binary64)))))
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal -12 binary64)))
(neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal -12 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -12 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -12 binary64)))) #s(literal -1 binary64)))

eval109.0ms (2%)

Memory: 18.3MiB live, 170.7MiB allocated
Compiler: Compiled 13 619 to 1 352 computations (90.1% saved)

prune104.0ms (1.8%)

Memory

2.2MiB live, 158.2MiB allocated

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	641	3	644
Fresh	0	0	0
Picked	2	3	5
Done	0	4	4
Total	643	10	653

Accuracy

100.0%

Counts

653 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.2%	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 (.f64 x x) #s(literal 3 binary64))))
✓	51.0%	#s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
✓	52.4%	#s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))
▶	52.0%	#s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (.f64 (.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64)))) x))
▶	52.2%	#s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (.f64 (.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) x))
✓	52.2%	#s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (.f64 (.f64 x x) #s(literal 9 binary64)))
▶	3.8%	#s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (.f64 #s(approx (+ ( 9 x) -12) #s(literal -12 binary64)) x))
✓	99.9%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)))
✓	52.2%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 9 binary64) x) x))
✓	50.4%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Compiler

Compiled 81 to 50 computations (38.3% saved)

simplify20.0ms (0.4%)

Memory

-23.1MiB live, 23.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

344×	`lower-*.f32`
330×	`lower-*.f64`
250×	`lower-fma.f32`
246×	`lower-fma.f64`
186×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	155
0	40	149
1	73	137
2	112	137
3	208	137
4	407	137
5	445	137
6	448	137
7	450	137
8	457	137
9	457	137
0	457	128

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize74.0ms (1.3%)

Memory

4.8MiB live, 117.7MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0.15234375	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64)))
accuracy	0.15625	(.f64 (.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64)))) x)
accuracy	14.923617480920592	(.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64))))
accuracy	30.37018897163254	#s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (.f64 (.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64)))) x))
accuracy	0	(*.f64 x #s(literal 3 binary64))
accuracy	0.12890625	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) x)
accuracy	0.25390625	(.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))
accuracy	30.498784955464348	#s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (.f64 (.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) x))
accuracy	0.15625	(.f64 #s(approx (+ ( 9 x) -12) #s(literal -12 binary64)) x)
accuracy	30.37018897163254	#s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (.f64 #s(approx (+ ( 9 x) -12) #s(literal -12 binary64)) x))
accuracy	31.994635145440224	#s(approx (+ (* 9 x) -12) #s(literal -12 binary64))

Samples

32.0ms	201×	0	valid
9.0ms	27×	2	valid
8.0ms	28×	1	valid

Compiler

Compiled 126 to 27 computations (78.6% saved)

Precisions

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

ival-mult: 21.0ms (62.8% of total)

ival-add: 7.0ms (20.9% of total)

adjust: 3.0ms (9% of total)

ival-div: 2.0ms (6% of total)

exact: 1.0ms (3% of total)

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

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

series7.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated

Counts

12 → 144

Calls

Call 1

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

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

Calls

36 calls:

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

simplify148.0ms (2.7%)

Memory

-4.1MiB live, 166.1MiB allocated

Algorithm

1×	egg-herbie

Rules

9 628×	`lower-fma.f64`
9 628×	`lower-fma.f32`
2 452×	`lower-*.f64`
2 452×	`lower-*.f32`
2 338×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	874
1	270	866
2	613	866
3	1435	814
4	3819	814
5	7408	814
0	8266	718

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))))
(* -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 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))))
(* 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 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 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))))
(* -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))))
-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))

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

rewrite296.0ms (5.3%)

Memory

-33.4MiB live, 207.8MiB allocated

Rules

7 118×	`lower-fma.f32`
7 114×	`lower-fma.f64`
4 772×	`lower-*.f32`
4 758×	`lower-*.f64`
4 346×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	138
0	40	126
1	146	102
2	989	102
0	8405	90

Stop Event

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

Counts

12 → 455

Calls

Call 1

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

Outputs
#s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (.f64 #s(approx (+ ( 9 x) -12) #s(literal -12 binary64)) x))
(.f64 #s(approx (+ ( 9 x) -12) #s(literal -12 binary64)) x)
(.f64 x #s(approx (+ ( 9 x) -12) #s(literal -12 binary64)))
#s(approx (+ (* 9 x) -12) #s(literal -12 binary64))
(.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3 binary64))
(.f64 #s(literal 3 binary64) (.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 9 binary64) x)
(*.f64 x #s(literal 9 binary64))
#s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (.f64 (.f64 x x) #s(literal 9 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)))
(.f64 (.f64 (*.f64 #s(literal 3 binary64) x) x) #s(literal 3 binary64))
(.f64 (.f64 x (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64))
(.f64 (.f64 x x) #s(literal 9 binary64))
(.f64 (.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) x))
(.f64 (.f64 #s(literal 9 binary64) x) x)
(.f64 #s(literal 3 binary64) (.f64 (*.f64 #s(literal 3 binary64) x) x))
(.f64 #s(literal 3 binary64) (.f64 x (*.f64 #s(literal 3 binary64) x)))
(.f64 #s(literal 9 binary64) (.f64 x x))
(.f64 x (.f64 #s(literal 9 binary64) x))
(pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) x)
(*.f64 x #s(literal 3 binary64))
(.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) (.f64 x x) #s(literal -20736 binary64)) (fma.f64 #s(literal 729 binary64) (.f64 (.f64 x x) x) #s(literal 1728 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal -144 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 81 binary64) (-.f64 #s(literal 144 binary64) (*.f64 x #s(literal 108 binary64)))))))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 531441 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -2985984 binary64)) (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) (.f64 x x) (-.f64 #s(literal 20736 binary64) (.f64 (.f64 x x) #s(literal -11664 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 12 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 729 binary64) (.f64 (.f64 x x) x) #s(literal 1728 binary64))) (/.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 81 binary64) (-.f64 #s(literal 144 binary64) (.f64 x #s(literal 108 binary64)))))))
(.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (fma.f64 #s(literal 729 binary64) (.f64 (.f64 x x) x) #s(literal 1728 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 81 binary64) (-.f64 #s(literal 144 binary64) (.f64 x #s(literal 108 binary64)))))))
(.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (fma.f64 #s(literal 729 binary64) (.f64 (.f64 x x) x) #s(literal 1728 binary64))) (fma.f64 (.f64 x x) #s(literal 81 binary64) (-.f64 #s(literal 144 binary64) (.f64 x #s(literal 108 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) (.f64 x x) #s(literal -20736 binary64)) (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -81 binary64) (*.f64 x x) #s(literal -144 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) (.f64 x x) #s(literal -20736 binary64)) (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -81 binary64) (*.f64 x x) #s(literal -144 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 531441 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -2985984 binary64)) (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) (.f64 x x) (-.f64 #s(literal 20736 binary64) (.f64 (*.f64 x x) #s(literal -11664 binary64))))) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 531441 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -2985984 binary64)) (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) (.f64 x x) (-.f64 #s(literal 20736 binary64) (.f64 (*.f64 x x) #s(literal -11664 binary64))))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64))) (fma.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) (.f64 x x) #s(literal -20736 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal -144 binary64))))
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(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64))) (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64))) (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 729 binary64) (.f64 (.f64 x x) x) #s(literal 1728 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 81 binary64) (-.f64 #s(literal 144 binary64) (*.f64 x #s(literal 108 binary64))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 729 binary64) (.f64 (.f64 x x) x) #s(literal 1728 binary64))) (fma.f64 (.f64 x x) #s(literal 81 binary64) (-.f64 #s(literal 144 binary64) (*.f64 x #s(literal 108 binary64)))))
(*.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64)) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 144 binary64))) (/.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 144 binary64))) (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
(.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 144 binary64))))
(.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) (-.f64 #s(literal 144 binary64) (.f64 x #s(literal 108 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 729 binary64) (.f64 (*.f64 x x) x) #s(literal 1728 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64))))
(pow.f64 (exp.f64 (log.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64)) (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64)) #s(literal -1 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) (.f64 x x) #s(literal -20736 binary64)))) (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal 144 binary64)) (fma.f64 #s(literal -9 binary64) x #s(literal -12 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 #s(literal 531441 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -2985984 binary64)))) (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -12 binary64)) (fma.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) (.f64 x x) (-.f64 #s(literal 20736 binary64) (.f64 (.f64 x x) #s(literal -11664 binary64)))))))
(/.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) (.f64 x x) #s(literal -20736 binary64)) (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64)))) (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal 144 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal 531441 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -2985984 binary64)) (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64)))) (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (fma.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) (.f64 x x) (-.f64 #s(literal 20736 binary64) (.f64 (*.f64 x x) #s(literal -11664 binary64))))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64))) (fma.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) (.f64 x x) #s(literal -20736 binary64)))) (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal 144 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64))) (fma.f64 (.f64 #s(literal 531441 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -2985984 binary64)))) (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (fma.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) (.f64 x x) (-.f64 #s(literal 20736 binary64) (.f64 (.f64 x x) #s(literal -11664 binary64))))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 729 binary64) (.f64 (.f64 x x) x) #s(literal -1728 binary64)))) (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (neg.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) (+.f64 #s(literal 144 binary64) (*.f64 x #s(literal 108 binary64)))))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) (.f64 x x) #s(literal -20736 binary64)) #s(literal -1 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal 144 binary64)) (fma.f64 #s(literal -9 binary64) x #s(literal -12 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 #s(literal 531441 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -2985984 binary64)) #s(literal -1 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (.f64 (fma.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) (.f64 x x) (-.f64 #s(literal 20736 binary64) (.f64 (*.f64 x x) #s(literal -11664 binary64)))) (fma.f64 #s(literal -9 binary64) x #s(literal -12 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 729 binary64) (.f64 (.f64 x x) x) #s(literal -1728 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (+.f64 #s(literal 144 binary64) (fma.f64 (.f64 #s(literal 81 binary64) x) x (*.f64 x #s(literal 108 binary64))))))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 729 binary64) (.f64 (.f64 x x) x) #s(literal -1728 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (fma.f64 (.f64 x x) #s(literal 81 binary64) (+.f64 #s(literal 144 binary64) (*.f64 x #s(literal 108 binary64))))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) (.f64 x x)) (.f64 (-.f64 #s(literal 144 binary64) (.f64 x #s(literal 108 binary64))) (-.f64 #s(literal 144 binary64) (.f64 x #s(literal 108 binary64)))))) (.f64 (fma.f64 #s(literal 729 binary64) (.f64 (.f64 x x) x) #s(literal 1728 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) (-.f64 #s(literal 144 binary64) (.f64 x #s(literal 108 binary64))))))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 531441 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (-.f64 #s(literal 144 binary64) (.f64 x #s(literal 108 binary64))) (-.f64 #s(literal 144 binary64) (.f64 x #s(literal 108 binary64)))) (-.f64 #s(literal 144 binary64) (.f64 x #s(literal 108 binary64)))))) (.f64 (fma.f64 #s(literal 729 binary64) (.f64 (.f64 x x) x) #s(literal 1728 binary64)) (fma.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) (.f64 x x) (fma.f64 (-.f64 #s(literal 144 binary64) (.f64 x #s(literal 108 binary64))) (-.f64 #s(literal 144 binary64) (.f64 x #s(literal 108 binary64))) (.f64 (.f64 #s(literal -81 binary64) (.f64 x x)) (-.f64 #s(literal 144 binary64) (*.f64 x #s(literal 108 binary64))))))))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -81 binary64) (*.f64 x x) #s(literal 144 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 12 binary64))))
(/.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 12 binary64)) (fma.f64 #s(literal -81 binary64) (*.f64 x x) #s(literal 144 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) (-.f64 #s(literal 144 binary64) (.f64 x #s(literal 108 binary64))))) (neg.f64 (fma.f64 #s(literal 729 binary64) (.f64 (.f64 x x) x) #s(literal 1728 binary64))))
(/.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal 144 binary64)) (.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (fma.f64 #s(literal -9 binary64) x #s(literal -12 binary64))))
(/.f64 (fma.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) (.f64 x x) #s(literal -20736 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal 144 binary64)) (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64)))))
(/.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)))
(/.f64 (fma.f64 (.f64 #s(literal 531441 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -2985984 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (.f64 (fma.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) (.f64 x x) (-.f64 #s(literal 20736 binary64) (.f64 (*.f64 x x) #s(literal -11664 binary64)))) (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64)))))
(/.f64 (fma.f64 (.f64 #s(literal 531441 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -2985984 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64)) (fma.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) (.f64 x x) (-.f64 #s(literal 20736 binary64) (.f64 (*.f64 x x) #s(literal -11664 binary64)))))))
(/.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) (-.f64 #s(literal 144 binary64) (.f64 x #s(literal 108 binary64)))) (fma.f64 #s(literal 729 binary64) (.f64 (.f64 x x) x) #s(literal 1728 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal -12 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64)))
(/.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64))))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64))) #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64))))
(-.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal 144 binary64)) (fma.f64 #s(literal 729 binary64) (.f64 (.f64 x x) x) #s(literal 1728 binary64))) (/.f64 (.f64 x #s(literal 108 binary64)) (fma.f64 #s(literal 729 binary64) (.f64 (.f64 x x) x) #s(literal 1728 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal -81 binary64) (.f64 x x)) (fma.f64 #s(literal -9 binary64) x #s(literal -12 binary64))) (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))) (/.f64 (/.f64 #s(literal 144 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64))) (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 9 binary64) x) (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))) (/.f64 #s(literal 12 binary64) (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64))) #s(literal -1 binary64)))

eval204.0ms (3.6%)

Memory: 30.7MiB live, 105.4MiB allocated
Compiler: Compiled 15 091 to 1 514 computations (90% saved)

prune157.0ms (2.8%)

Memory

7.0MiB live, 129.3MiB allocated

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	598	1	599
Fresh	0	0	0
Picked	1	2	3
Done	0	7	7
Total	599	10	609

Accuracy

100.0%

Counts

609 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.2%	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 (.f64 x x) #s(literal 3 binary64))))
✓	51.0%	#s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
✓	52.4%	#s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))
✓	52.2%	#s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (.f64 (.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) x))
	51.9%	#s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (.f64 (.f64 #s(approx (+ (* 81 (* x x)) -144) (.f64 #s(literal 81 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64)))) x))
✓	52.2%	#s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (.f64 (.f64 x x) #s(literal 9 binary64)))
✓	3.8%	#s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (.f64 #s(approx (+ ( 9 x) -12) #s(literal -12 binary64)) x))
✓	99.9%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)))
✓	52.2%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 9 binary64) x) x))
✓	50.4%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Compiler

Compiled 229 to 96 computations (58.1% saved)

regimes61.0ms (1.1%)

Memory

-33.7MiB live, 51.5MiB allocated

Counts

17 → 1

Calls

Call 1

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

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

Calls

4 calls:

40.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
11.0ms	x
4.0ms	(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
4.0ms	(.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
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)

regimes12.0ms (0.2%)

Memory

19.9MiB live, 19.9MiB 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) (+ (* -12 x) 3)) (.f64 #s(approx (+ ( 9 x) -12) #s(literal -12 binary64)) x))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
#s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 9 binary64) x) x))
#s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (.f64 (.f64 x x) #s(literal 9 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))
#s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))

Outputs

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

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

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
99.6%	3	`x`
99.6%	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)))`
99.6%	2	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
99.6%	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)

regimes11.0ms (0.2%)

Memory

-21.5MiB live, 16.6MiB 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) (+ (* -12 x) 3)) (.f64 #s(approx (+ ( 9 x) -12) #s(literal -12 binary64)) x))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
#s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 9 binary64) x) x))
#s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (.f64 (.f64 x x) #s(literal 9 binary64)))

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

Calls

3 calls:

6.0ms

(*.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 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))

Results

Accuracy	Segments	Branch
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 36 to 26 computations (27.8% saved)

regimes8.0ms (0.1%)

Memory

24.3MiB live, 24.3MiB 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) (+ (* -12 x) 3)) (.f64 #s(approx (+ ( 9 x) -12) #s(literal -12 binary64)) x))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
#s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))

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

Calls

4 calls:

2.0ms	(-.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
51.0%	1	`x`
51.0%	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)))`
51.0%	1	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
51.0%	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)

regimes8.0ms (0.2%)

Memory

-19.0MiB live, 19.8MiB allocated

Accuracy

Total -30.3b remaining (-95.6%)

Threshold costs -30.3b (-95.6%)

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
50.4%	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)))`
50.4%	1	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
50.4%	1	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))`
50.4%	1	`x`

Compiler

Compiled 38 to 27 computations (28.9% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.000331654146688808	3050677567827.3755

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.000331654146688808	3050677567827.3755

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify8.0ms (0.1%)

Memory

20.6MiB live, 20.6MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`*-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	31	153
1	45	153
2	56	153
3	62	153
4	66	153
5	67	153

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)))
(if (<=.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx ( 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)))
(if (<=.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx ( 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 9 binary64) x) x)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Outputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)))
(if (<=.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx ( 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)))
(if (<=.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 #s(literal 4 binary64) x)) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx ( 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)))
(if (<=.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx ( 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 9 binary64) x) x)))
(if (<=.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 #s(literal 4 binary64) x)) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx ( 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 9 binary64) x) x)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

soundness666.0ms (11.9%)

Memory

-23.7MiB live, 257.8MiB allocated

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	344
1	137	344
2	323	344
3	753	344
4	1956	340
5	4214	340
6	5944	340
7	7664	340
0	8049	301

Stop Event

1×	fuel
1×	iter limit
1×	node limit

Compiler

Compiled 94 to 43 computations (54.3% saved)

preprocess92.0ms (1.6%)

Memory: -6.4MiB live, 111.5MiB allocated
Compiler: Compiled 178 to 76 computations (57.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	29	155
0	40	149
1	73	137
2	112	137
3	208	137
4	407	137
5	445	137
6	448	137
7	450	137
8	457	137
9	457	137
0	457	128

Iter	Nodes	Cost
0	29	155
0	40	149
1	73	137
2	112	137
3	208	137
4	407	137
5	445	137
6	448	137
7	450	137
8	457	137
9	457	137
0	457	128

start0.0ms (0%)

analyze0.0ms (0%)

sample949.0ms (17%)

explain125.0ms (2.2%)

preprocess125.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify51.0ms (0.9%)

localize72.0ms (1.3%)

series5.0ms (0.1%)

simplify111.0ms (2%)

rewrite257.0ms (4.6%)

eval84.0ms (1.5%)

prune59.0ms (1.1%)

simplify132.0ms (2.4%)

localize107.0ms (1.9%)

series8.0ms (0.1%)

simplify165.0ms (2.9%)

rewrite451.0ms (8.1%)

eval54.0ms (1%)

prune82.0ms (1.5%)

simplify220.0ms (3.9%)

localize137.0ms (2.5%)

series12.0ms (0.2%)

simplify154.0ms (2.7%)

rewrite251.0ms (4.5%)

eval109.0ms (2%)

prune104.0ms (1.8%)

simplify20.0ms (0.4%)

localize74.0ms (1.3%)

series7.0ms (0.1%)

simplify148.0ms (2.7%)

rewrite296.0ms (5.3%)

eval204.0ms (3.6%)

prune157.0ms (2.8%)

regimes61.0ms (1.1%)

regimes12.0ms (0.2%)

regimes11.0ms (0.2%)

regimes8.0ms (0.1%)

regimes8.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

soundness666.0ms (11.9%)

preprocess92.0ms (1.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	29	155
0	40	149
1	73	137
2	112	137
3	208	137
4	407	137
5	445	137
6	448	137
7	450	137
8	457	137
9	457	137
0	457	128