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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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)

sample1.1s (16%)

Memory

-94.5MiB live, 1 099.4MiB allocated

Samples

602.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 367.0ms

ival-mult: 267.0ms (72.7% of total)

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

ival-add: 39.0ms (10.6% of total)

exact: 11.0ms (3% of total)

ival-true: 5.0ms (1.4% of total)

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

Bogosity

explain161.0ms (2.4%)

Memory

-10.2MiB live, 262.3MiB 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

68.0ms

512×

valid

Compiler

Compiled 114 to 34 computations (70.2% saved)

Precisions

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

ival-mult: 39.0ms (71% of total)

ival-sub: 12.0ms (21.8% of total)

ival-add: 2.0ms (3.6% of total)

exact: 1.0ms (1.8% of total)

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

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

preprocess185.0ms (2.7%)

Memory

19.0MiB live, 126.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Compiler

Compiled 14 to 10 computations (28.6% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

3.4MiB live, 3.4MiB 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)

simplify68.0ms (1%)

Memory

-6.8MiB live, 79.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize27.0ms (0.4%)

Memory

4.8MiB live, 82.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x #s(literal 3 binary64))
accuracy	0.0078125	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
accuracy	0.06640625	(.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	0.1171875	(.f64 (.f64 x #s(literal 3 binary64)) x)

Samples

17.0ms

256×

valid

Compiler

Compiled 50 to 12 computations (76% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 6.0ms (67.8% of total)

ival-sub: 1.0ms (11.3% of total)

ival-add: 1.0ms (11.3% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.2%)

Memory

-37.0MiB live, 20.7MiB 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) x)
0.0ms	x	@	-inf	(* x 3)
0.0ms	x	@	-inf	(+ (- (* (* x 3) x) (* x 4)) 1)

simplify212.0ms (3.1%)

Memory

19.6MiB live, 208.6MiB 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 #s(literal -4 binary64) x)
(* x (- (* 3 x) 4))
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
(* x (- (* 3 x) 4))
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
(* x (- (* 3 x) 4))
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -4 x))
(fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* 3 x) 4)))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* 3 x) 4)))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
(* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
(* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x))))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x))))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(.f64 x (.f64 x #s(literal 3 binary64)))
(* 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))

rewrite348.0ms (5.1%)

Memory

-4.4MiB live, 491.1MiB 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 x (.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal -4 binary64)))
(+.f64 (.f64 x #s(literal -4 binary64)) (.f64 x (*.f64 x #s(literal 3 binary64))))
(+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))) (fma.f64 x (.f64 (.f64 x x) #s(literal 12 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal 16 binary64))))) (neg.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 12 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 16 binary64)))))))
(+.f64 (/.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 x x)))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x #s(literal 16 binary64))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 3 binary64)))) (.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4 binary64))))
(+.f64 (.f64 (.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal -4 binary64))) (.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 3 binary64)))))
(+.f64 (.f64 (.f64 x (.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)))
(-.f64 (.f64 x (.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 4 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 x #s(literal 4 binary64)) (.f64 x (*.f64 x #s(literal 3 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))) (fma.f64 x (.f64 (.f64 x x) #s(literal 12 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal 16 binary64))))) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 12 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 16 binary64))))))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 x x)))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 16 binary64))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)))))
(-.f64 (fma.f64 x (.f64 x #s(literal 3 binary64)) #s(literal 0 binary64)) (.f64 x #s(literal 4 binary64)))
(fma.f64 x (.f64 x #s(literal 3 binary64)) (.f64 x #s(literal -4 binary64)))
(fma.f64 x #s(literal -4 binary64) (.f64 x (.f64 x #s(literal 3 binary64))))
(fma.f64 x (/.f64 (.f64 x (.f64 #s(literal 9 binary64) (.f64 x x))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x #s(literal 16 binary64))) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))))))
(fma.f64 #s(literal 3 binary64) (.f64 x x) (.f64 x #s(literal -4 binary64)))
(fma.f64 (.f64 x #s(literal 3 binary64)) x (.f64 x #s(literal -4 binary64)))
(fma.f64 (.f64 x #s(literal 3 binary64)) (/.f64 (.f64 x (.f64 x (.f64 x #s(literal 3 binary64)))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x #s(literal 16 binary64))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))))))
(fma.f64 (.f64 x (.f64 x #s(literal 3 binary64))) #s(literal 1 binary64) (.f64 (.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x (.f64 x #s(literal 3 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 3 binary64))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x #s(literal 16 binary64))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))))))
(fma.f64 (.f64 x (.f64 x #s(literal 3 binary64))) (/.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 x x)))) (fma.f64 x (.f64 (.f64 x x) #s(literal 12 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal 16 binary64))))) (neg.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 12 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 16 binary64)))))))
(fma.f64 #s(literal 4 binary64) (neg.f64 x) (.f64 x (.f64 x #s(literal 3 binary64))))
(fma.f64 (.f64 x #s(literal 4 binary64)) #s(literal -1 binary64) (.f64 x (*.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1 binary64) (.f64 x #s(literal -4 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal -4 binary64)) (.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 3 binary64)))))
(fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 12 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal 16 binary64))))) (neg.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 12 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 16 binary64)))))))
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(.f64 (/.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) #s(literal -1 binary64)) (fma.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))) #s(literal -1 binary64))) (fma.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))))))) (fma.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))))) (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)))
(.f64 x (.f64 x #s(literal 3 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 3 binary64)) x)
(.f64 (.f64 x x) #s(literal 3 binary64))
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)

eval136.0ms (2%)

Memory: -19.3MiB live, 97.8MiB allocated
Compiler: Compiled 12 955 to 1 137 computations (91.2% saved)

prune56.0ms (0.8%)

Memory

22.0MiB live, 136.4MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	394	9	403
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	395	9	404

Accuracy

100.0%

Counts

404 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.9%	(fma.f64 (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) #s(literal 3 binary64) #s(literal 3 binary64))
▶	99.9%	(fma.f64 (*.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64))
▶	50.9%	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64))))
	50.5%	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))))
▶	99.9%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64)))
	50.9%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
▶	50.2%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
	50.6%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
▶	50.7%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Compiler

Compiled 142 to 90 computations (36.6% saved)

simplify60.0ms (0.9%)

Memory

15.6MiB live, 60.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Rules

1 544×	`lower-fma.f32`
1 534×	`lower-fma.f64`
628×	`lower-*.f32`
620×	`lower-*.f64`
256×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	142
0	39	152
1	85	118
2	154	116
3	220	116
4	310	116
5	412	116
6	623	116
7	965	116
8	1270	116
9	1343	116
10	1380	116
11	1386	116
12	1386	116
0	1386	114

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize97.0ms (1.4%)

Memory

-30.2MiB live, 127.1MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))
accuracy	0	(*.f64 x #s(literal 3 binary64))
accuracy	0.08203125	(fma.f64 (*.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64))
accuracy	0	(fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64))
accuracy	0.06640625	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64))))
accuracy	31.405296618284325	#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0.16989005115753777	(.f64 (.f64 x x) #s(literal 9 binary64))
accuracy	31.84021518495698	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
accuracy	31.555651884656704	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))
accuracy	0	(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
accuracy	0	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64)))
accuracy	0.0546875	(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))

Samples

35.0ms	233×	0	valid
4.0ms	14×	1	valid
3.0ms	9×	2	valid

Compiler

Compiled 125 to 26 computations (79.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 18.0ms (64.4% of total)

ival-add: 7.0ms (25.1% of total)

adjust: 1.0ms (3.6% of total)

ival-sub: 1.0ms (3.6% of total)

exact: 1.0ms (3.6% of total)

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

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

series8.0ms (0.1%)

Memory

10.1MiB live, 10.1MiB allocated

Counts

13 → 156

Calls

Call 1

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

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

Calls

39 calls:

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

simplify173.0ms (2.5%)

Memory

27.7MiB live, 221.7MiB allocated

Algorithm

1×	egg-herbie

Rules

6 170×	`lower-fma.f64`
6 170×	`lower-fma.f32`
2 496×	`lower-*.f64`
2 496×	`lower-*.f32`
1 490×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	904
1	170	904
2	430	876
3	1065	876
4	2274	876
5	4873	876
6	7468	876
0	8020	744

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))
(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))))
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))))
1
(+ 1 (* -4 x))
(+ 1 (* -4 x))
(+ 1 (* -4 x))
(* -4 x)
(* x (- (/ 1 x) 4))
(* x (- (/ 1 x) 4))
(* x (- (/ 1 x) 4))
(* -4 x)
(* -1 (* x (- 4 (/ 1 x))))
(* -1 (* x (- 4 (/ 1 x))))
(* -1 (* x (- 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))))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
-4
(- (* 3 x) 4)
(- (* 3 x) 4)
(- (* 3 x) 4)
(* 3 x)
(* x (- 3 (* 4 (/ 1 x))))
(* x (- 3 (* 4 (/ 1 x))))
(* x (- 3 (* 4 (/ 1 x))))
(* 3 x)
(* -1 (* x (- (* 4 (/ 1 x)) 3)))
(* -1 (* x (- (* 4 (/ 1 x)) 3)))
(* -1 (* x (- (* 4 (/ 1 x)) 3)))

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

rewrite527.0ms (7.7%)

Memory

9.5MiB live, 482.1MiB allocated

Rules

8 196×	`lower-fma.f32`
8 186×	`lower-fma.f64`
4 208×	`lower-*.f32`
4 200×	`lower-*.f64`
3 438×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	128
0	39	138
1	170	104
2	1318	102
0	8340	100

Stop Event

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

Counts

13 → 395

Calls

Call 1

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

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

eval416.0ms (6.1%)

Memory: -20.9MiB live, 114.2MiB allocated
Compiler: Compiled 9 916 to 753 computations (92.4% saved)

prune156.0ms (2.3%)

Memory

-27.3MiB live, 168.5MiB allocated

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	546	5	551
Fresh	3	1	4
Picked	1	4	5
Done	0	0	0
Total	550	10	560

Accuracy

100.0%

Counts

560 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) #s(literal 3 binary64) #s(literal 3 binary64))
✓	50.9%	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64))))
	50.5%	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))))
▶	50.9%	#s(approx (+ (* (* x 3) (+ (* x 3) -4)) 3) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
▶	50.6%	#s(approx (+ (* (* x 3) (+ (* x 3) -4)) 3) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
▶	50.2%	#s(approx (+ (* (* x 3) (+ (* x 3) -4)) 3) (.f64 x (.f64 x #s(literal 9 binary64))))
✓	99.9%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64)))
✓	50.2%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
▶	50.1%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) x)))
✓	50.7%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Compiler

Compiled 127 to 76 computations (40.2% saved)

simplify87.0ms (1.3%)

Memory

7.4MiB live, 84.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

1 544×	`lower-fma.f32`
1 536×	`lower-fma.f64`
624×	`lower-*.f32`
612×	`lower-*.f64`
256×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	136
0	42	122
1	100	117
2	164	117
3	218	117
4	307	117
5	407	117
6	621	117
7	964	117
8	1267	117
9	1340	117
10	1377	117
11	1383	117
12	1383	117
0	1383	112

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize111.0ms (1.6%)

Memory

20.8MiB live, 174.6MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 #s(literal 3 binary64) x)
accuracy	0.22169877930532603	(.f64 (.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) x))
accuracy	31.84021518495698	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) x)))
accuracy	0	(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
accuracy	0.15625	(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
accuracy	31.5698296527242	#s(approx (+ (* (* x 3) (+ (* x 3) -4)) 3) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
accuracy	0	(*.f64 x #s(literal 9 binary64))
accuracy	0.1015625	(.f64 x (.f64 x #s(literal 9 binary64)))
accuracy	31.84021518495698	#s(approx (+ (* (* x 3) (+ (* x 3) -4)) 3) (.f64 x (.f64 x #s(literal 9 binary64))))
accuracy	0	(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
accuracy	31.393400284383148	#s(approx (+ (* (* x 3) (+ (* x 3) -4)) 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	0.046875	(fma.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) #s(literal 3 binary64) #s(literal 3 binary64))
accuracy	0.046875	(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x)

Samples

69.0ms	207×	0	valid
9.0ms	26×	2	valid
9.0ms	23×	1	valid

Compiler

Compiled 119 to 30 computations (74.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-mult: 51.0ms (73.6% of total)

ival-add: 13.0ms (18.8% of total)

adjust: 4.0ms (5.8% of total)

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

exact: 1.0ms (1.4% of total)

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

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

series7.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB allocated

Counts

14 → 168

Calls

Call 1

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

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

Calls

42 calls:

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

simplify167.0ms (2.4%)

Memory

4.3MiB live, 153.3MiB allocated

Algorithm

1×	egg-herbie

Rules

6 664×	`lower-fma.f64`
6 664×	`lower-fma.f32`
2 680×	`lower-*.f64`
2 680×	`lower-*.f32`
1 322×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	958
1	135	958
2	334	958
3	831	920
4	2040	920
5	3972	920
6	6021	920
7	7540	920
0	8030	800

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

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

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

rewrite312.0ms (4.6%)

Memory

7.6MiB live, 476.0MiB allocated

Rules

7 774×	`lower-fma.f32`
7 766×	`lower-fma.f64`
4 288×	`lower-*.f32`
4 276×	`lower-*.f64`
3 732×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	123
0	42	109
1	201	104
2	1181	104
0	8271	99

Stop Event

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

Counts

14 → 457

Calls

Call 1

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

Outputs
(+.f64 #s(literal 3 binary64) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
(+.f64 (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) #s(literal 3 binary64))
(+.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(+.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (*.f64 #s(literal 3 binary64) (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64))))
(+.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (*.f64 (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)))
(+.f64 (/.f64 (.f64 x (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64)))))
(+.f64 (+.f64 #s(literal 3 binary64) (.f64 #s(literal 9 binary64) (.f64 x x))) (*.f64 x #s(literal -12 binary64)))
(+.f64 (.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 x x)))) (.f64 x #s(literal -12 binary64)))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 x x))) #s(literal 3 binary64)) (.f64 x #s(literal -12 binary64)))
(-.f64 (/.f64 (.f64 x (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64))))
(-.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal 3 binary64) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) (/.f64 (.f64 x (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) (-.f64 #s(literal 3 binary64) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))))
(fma.f64 #s(literal 3 binary64) (.f64 #s(literal 3 binary64) (.f64 x x)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(fma.f64 #s(literal 3 binary64) (.f64 #s(literal 3 binary64) (.f64 x x)) (*.f64 #s(literal 3 binary64) (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64))))
(fma.f64 #s(literal 3 binary64) (.f64 #s(literal 3 binary64) (.f64 x x)) (*.f64 (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)))
(fma.f64 #s(literal 3 binary64) (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))) #s(literal 3 binary64))
(fma.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 x x))) (*.f64 x #s(literal -12 binary64)))
(fma.f64 x (*.f64 x #s(literal 9 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(fma.f64 x (.f64 x #s(literal 9 binary64)) (.f64 #s(literal 3 binary64) (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64))))
(fma.f64 x (.f64 x #s(literal 9 binary64)) (.f64 (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64))
(fma.f64 #s(literal 9 binary64) (*.f64 x x) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 #s(literal 3 binary64) (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64))))
(fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)))
(fma.f64 (*.f64 x #s(literal 9 binary64)) x (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(fma.f64 (.f64 x #s(literal 9 binary64)) x (.f64 #s(literal 3 binary64) (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64))))
(fma.f64 (.f64 x #s(literal 9 binary64)) x (.f64 (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64)) #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 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) x) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(fma.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64))))
(fma.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) x) (*.f64 (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)))
(fma.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal 3 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(fma.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64))))
(fma.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal 3 binary64) (*.f64 (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)))
(fma.f64 (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))) #s(literal 3 binary64) #s(literal 3 binary64))
(fma.f64 (.f64 x (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64)))))
(fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 #s(literal 3 binary64) (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64))))
(fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)))
(fma.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) x #s(literal 3 binary64))
(fma.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) (.f64 x (.f64 x x)) (.f64 #s(literal -1728 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) (.f64 x x) (fma.f64 #s(literal 144 binary64) (.f64 x x) (.f64 (neg.f64 (.f64 #s(literal 9 binary64) (.f64 x x))) (.f64 x #s(literal -12 binary64)))))) #s(literal 3 binary64))
(fma.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) (.f64 x x) (.f64 #s(literal -144 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 9 binary64)) (*.f64 x #s(literal 12 binary64)))) #s(literal 3 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 x x))) #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64)))
(fma.f64 (.f64 #s(literal 3 binary64) (fma.f64 (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)) (.f64 #s(literal -64 binary64) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)))))) #s(literal 3 binary64))
(fma.f64 (.f64 #s(literal 3 binary64) (.f64 (.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))) (.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)))) #s(literal 3 binary64))
(fma.f64 (.f64 (.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)) #s(literal -64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal 16 binary64)) (.f64 x #s(literal 12 binary64)))) #s(literal 3 binary64))
(fma.f64 (.f64 (.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64))) #s(literal 3 binary64))
(fma.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal -1728 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))))) #s(literal 3 binary64))
(fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) #s(literal 3 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)) (.f64 #s(literal -64 binary64) (.f64 x (.f64 x x)))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)))))) #s(literal 3 binary64))
(fma.f64 (.f64 (.f64 (.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))) (.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)))) #s(literal 3 binary64))
(fma.f64 (.f64 (fma.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)) #s(literal -64 binary64)) (.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal 16 binary64)) (.f64 x #s(literal 12 binary64)))) #s(literal 3 binary64))
(fma.f64 (.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal -16 binary64)) (*.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64))) #s(literal 3 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal -1728 binary64)) x) (/.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 3 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) #s(literal 3 binary64))
(fma.f64 (exp.f64 (log.f64 (.f64 #s(literal 3 binary64) x))) (exp.f64 (log.f64 (.f64 #s(literal 3 binary64) x))) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(fma.f64 (exp.f64 (log.f64 (.f64 #s(literal 3 binary64) x))) (exp.f64 (log.f64 (.f64 #s(literal 3 binary64) x))) (*.f64 #s(literal 3 binary64) (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64))))
(fma.f64 (exp.f64 (log.f64 (.f64 #s(literal 3 binary64) x))) (exp.f64 (log.f64 (.f64 #s(literal 3 binary64) x))) (*.f64 (fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)))
(fma.f64 (/.f64 (.f64 (.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))) (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)))) x) (/.f64 #s(literal 3 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64))) #s(literal 3 binary64))
(fma.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 (.f64 (.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))) (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)))) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64))) #s(literal 3 binary64))
(neg.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) #s(literal 27 binary64)) (neg.f64 (+.f64 (fma.f64 x (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) #s(literal 9 binary64)) (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) (.f64 x #s(literal -9 binary64)))))))
(neg.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) #s(literal -9 binary64)) (fma.f64 (neg.f64 x) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) #s(literal 27 binary64))) (+.f64 (fma.f64 x (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) #s(literal 9 binary64)) (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) (.f64 x #s(literal -9 binary64))))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) #s(literal -9 binary64))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64))))
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 9 binary64) (fma.f64 (.f64 x x) (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) (.f64 x #s(literal -9 binary64))))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) #s(literal 27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 3 binary64) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) (-.f64 #s(literal 9 binary64) (.f64 x (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))) (.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))) #s(literal 1 binary64)) (.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)))) (.f64 #s(literal 3 binary64) (fma.f64 (.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))) (.f64 (.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))) (.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 3 binary64) (.f64 (.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))) (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)))) #s(literal -3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))) (.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))) #s(literal 1 binary64)) (.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)))) (.f64 (fma.f64 (.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))) (.f64 (.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))) (.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)))) #s(literal 1 binary64)) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))) (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) #s(literal 27 binary64)) (+.f64 (fma.f64 x (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) #s(literal 9 binary64)) (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) (.f64 x #s(literal -9 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) #s(literal 27 binary64)) (+.f64 #s(literal 9 binary64) (fma.f64 (.f64 x x) (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) (.f64 x #s(literal -9 binary64))))))
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(+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))
(+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (neg.f64 (/.f64 #s(literal 144 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (/.f64 #s(literal 144 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))
(-.f64 (/.f64 #s(literal 144 binary64) (+.f64 #s(literal -12 binary64) (.f64 x #s(literal -9 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) (+.f64 #s(literal -12 binary64) (.f64 x #s(literal -9 binary64)))))
(fma.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) x) #s(literal -12 binary64))
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
(fma.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64) #s(literal -12 binary64))
(fma.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (neg.f64 (/.f64 #s(literal 144 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))))
(neg.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal -1728 binary64)) (neg.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) (-.f64 #s(literal 144 binary64) (.f64 x #s(literal -108 binary64)))))))
(neg.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal -12 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal -1728 binary64))) (fma.f64 (.f64 x x) #s(literal 81 binary64) (-.f64 #s(literal 144 binary64) (.f64 x #s(literal -108 binary64))))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 144 binary64) (fma.f64 (.f64 x x) #s(literal 81 binary64) (.f64 x #s(literal 108 binary64)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal -1728 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -12 binary64) (.f64 x #s(literal -9 binary64))) (+.f64 #s(literal 144 binary64) (.f64 #s(literal -81 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal 16 binary64)) (.f64 x #s(literal 12 binary64))) (fma.f64 #s(literal 3 binary64) (.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x))) #s(literal -192 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) (.f64 #s(literal 9 binary64) (.f64 x x)) #s(literal -48 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #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 (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal -1728 binary64)) (+.f64 #s(literal 144 binary64) (fma.f64 (.f64 x x) #s(literal 81 binary64) (.f64 x #s(literal 108 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal -1728 binary64))) (neg.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) (-.f64 #s(literal 144 binary64) (.f64 x #s(literal -108 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal -1728 binary64))) (neg.f64 (+.f64 #s(literal 144 binary64) (fma.f64 (.f64 x x) #s(literal 81 binary64) (.f64 x #s(literal 108 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal -12 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))))
(/.f64 (+.f64 #s(literal 144 binary64) (.f64 #s(literal -81 binary64) (.f64 x x))) (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal -9 binary64))))
(/.f64 (fma.f64 #s(literal 3 binary64) (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) #s(literal -192 binary64)) (+.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal 16 binary64)) (*.f64 x #s(literal 12 binary64))))
(/.f64 (fma.f64 #s(literal 3 binary64) (.f64 #s(literal 9 binary64) (.f64 x x)) #s(literal -48 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)) #s(literal 144 binary64))) (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal -1728 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) (-.f64 #s(literal 144 binary64) (.f64 x #s(literal -108 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)))) (neg.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -12 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 144 binary64) (.f64 #s(literal -81 binary64) (.f64 x x)))) (neg.f64 (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal -9 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) #s(literal -192 binary64))) (neg.f64 (+.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal 16 binary64)) (*.f64 x #s(literal 12 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) (.f64 #s(literal 9 binary64) (.f64 x x)) #s(literal -48 binary64))) (fma.f64 x #s(literal -3 binary64) #s(literal -4 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 144 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (/.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (fma.f64 (/.f64 #s(literal 144 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (/.f64 #s(literal 144 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (.f64 (/.f64 (.f64 (*.f64 x x) #s(literal 81 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (/.f64 #s(literal 144 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (/.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) (.f64 (/.f64 #s(literal 144 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (/.f64 #s(literal 144 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))) (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (/.f64 #s(literal 144 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 3 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #s(literal 3 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal -1728 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 (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal -1728 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 144 binary64) (fma.f64 (.f64 x x) #s(literal 81 binary64) (*.f64 x #s(literal 108 binary64))))))
(.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal -1728 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) (-.f64 #s(literal 144 binary64) (*.f64 x #s(literal -108 binary64)))))))
(.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -12 binary64))))
(.f64 (+.f64 #s(literal 144 binary64) (.f64 #s(literal -81 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -12 binary64) (.f64 x #s(literal -9 binary64)))))
(.f64 (fma.f64 #s(literal 3 binary64) (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) #s(literal -192 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal 16 binary64)) (.f64 x #s(literal 12 binary64)))))
(.f64 (fma.f64 #s(literal 3 binary64) (.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal -48 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)))
(pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))
(pow.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) x))) #s(literal 2 binary64))
(.f64 #s(literal 3 binary64) (.f64 #s(literal 3 binary64) (*.f64 x x)))
(.f64 x (.f64 x #s(literal 9 binary64)))
(.f64 #s(literal 9 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 9 binary64)) x)
(.f64 (.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) x))
(.f64 (.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal 3 binary64))
(.f64 (.f64 x x) #s(literal 9 binary64))
(.f64 (exp.f64 (log.f64 (.f64 #s(literal 3 binary64) x))) (exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) x))))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 #s(literal 9 binary64) (.f64 x x)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)))
(pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 3 binary64) x)
(*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 1 binary64)))
(*.f64 x #s(literal 3 binary64))
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))
(.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1/2 binary64)))

eval108.0ms (1.6%)

Memory: -12.9MiB live, 214.4MiB allocated
Compiler: Compiled 11 888 to 1 178 computations (90.1% saved)

prune104.0ms (1.5%)

Memory

-18.2MiB live, 253.3MiB allocated

Pruning

12 alts after pruning (3 fresh and 9 done)

	Pruned	Kept	Total
New	642	2	644
Fresh	0	1	1
Picked	0	5	5
Done	0	4	4
Total	642	12	654

Accuracy

100.0%

Counts

654 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) #s(literal 3 binary64) #s(literal 3 binary64))
▶	96.4%	(fma.f64 (.f64 #s(approx (+ ( 3 x) -4) (*.f64 #s(literal 3 binary64) x)) x) #s(literal 3 binary64) #s(literal 3 binary64))
✓	50.9%	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64))))
▶	50.5%	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))))
✓	50.9%	#s(approx (+ (* (* x 3) (+ (* x 3) -4)) 3) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
✓	50.6%	#s(approx (+ (* (* x 3) (+ (* x 3) -4)) 3) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
✓	50.2%	#s(approx (+ (* (* x 3) (+ (* x 3) -4)) 3) (.f64 x (.f64 x #s(literal 9 binary64))))
▶	3.9%	#s(approx (+ (* (* x 3) (+ (* x 3) -4)) 3) (.f64 x #s(approx (+ ( x 9) -12) #s(literal -12 binary64))))
✓	99.9%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64)))
✓	50.2%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
✓	50.1%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) x)))
✓	50.7%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Compiler

Compiled 93 to 55 computations (40.9% saved)

simplify92.0ms (1.3%)

Memory

12.3MiB live, 87.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

1 880×	`lower-fma.f32`
1 876×	`lower-fma.f64`
868×	`lower-*.f32`
858×	`lower-*.f64`
362×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	128
0	38	125
1	79	119
2	143	118
3	204	118
4	290	118
5	391	118
6	604	118
7	961	118
8	1336	118
9	1545	118
10	1777	118
11	1821	118
12	1861	118
13	1889	118
14	1901	118
0	1901	111

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize75.0ms (1.1%)

Memory

27.7MiB live, 140.7MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 #s(literal 3 binary64) x)
accuracy	0.046875	(fma.f64 (.f64 #s(approx (+ ( 3 x) -4) (*.f64 #s(literal 3 binary64) x)) x) #s(literal 3 binary64) #s(literal 3 binary64))
accuracy	0.046875	(.f64 #s(approx (+ ( 3 x) -4) (*.f64 #s(literal 3 binary64) x)) x)
accuracy	32.069060823029155	#s(approx (+ (* 3 x) -4) (*.f64 #s(literal 3 binary64) x))
accuracy	0	(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))
accuracy	0.046875	(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
accuracy	0.06640625	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))))
accuracy	31.573758059179386	#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))))
accuracy	0.15625	(.f64 x #s(approx (+ ( x 9) -12) #s(literal -12 binary64)))
accuracy	31.5698296527242	#s(approx (+ (* (* x 3) (+ (* x 3) -4)) 3) (.f64 x #s(approx (+ ( x 9) -12) #s(literal -12 binary64))))
accuracy	31.82414748127179	#s(approx (+ (* x 9) -12) #s(literal -12 binary64))

Samples

43.0ms	207×	0	valid
8.0ms	26×	2	valid
5.0ms	23×	1	valid

Compiler

Compiled 94 to 27 computations (71.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 26.0ms (60.9% of total)

ival-add: 11.0ms (25.8% of total)

adjust: 3.0ms (7% of total)

ival-sub: 1.0ms (2.3% of total)

exact: 1.0ms (2.3% of total)

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

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

series31.0ms (0.4%)

Memory

-26.7MiB live, 9.0MiB allocated

Counts

11 → 132

Calls

Call 1

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

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

Calls

33 calls:

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

simplify158.0ms (2.3%)

Memory

4.9MiB live, 214.4MiB allocated

Algorithm

1×	egg-herbie

Rules

5 816×	`lower-fma.f64`
5 816×	`lower-fma.f32`
2 528×	`lower-*.f64`
2 528×	`lower-*.f32`
1 536×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	826
1	160	826
2	397	826
3	976	756
4	2544	756
5	4809	756
6	7439	756
0	8062	642

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

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

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

rewrite256.0ms (3.7%)

Memory

11.3MiB live, 318.2MiB allocated

Rules

5 330×	`lower-*.f32`
5 320×	`lower-*.f64`
4 796×	`lower-/.f64`
4 796×	`lower-/.f32`
3 754×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	121
0	38	118
1	165	112
2	1071	112
0	8366	106

Stop Event

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

Counts

11 → 166

Calls

Call 1

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

Outputs
#s(approx (+ (* (* x 3) (+ (* x 3) -4)) 3) (.f64 x #s(approx (+ ( x 9) -12) #s(literal -12 binary64))))
(.f64 x #s(approx (+ ( x 9) -12) #s(literal -12 binary64)))
(.f64 #s(approx (+ ( x 9) -12) #s(literal -12 binary64)) x)
#s(approx (+ (* x 9) -12) #s(literal -12 binary64))
(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))))
(.f64 #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))) #s(literal 3 binary64))
#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal -4 binary64)))
(+.f64 (.f64 x #s(literal -4 binary64)) (.f64 x (*.f64 x #s(literal 3 binary64))))
(-.f64 (.f64 x (.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 4 binary64)))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))) (fma.f64 (.f64 x #s(literal 4 binary64)) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))) (.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (.f64 x x)))) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)) (fma.f64 (.f64 x #s(literal 4 binary64)) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))) (.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (*.f64 x x)))))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (.f64 x x)) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal 16 binary64) (.f64 x x)) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)))))
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(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (.f64 x #s(literal 3 binary64)) #s(approx (+ ( 3 x) -4) (.f64 x #s(literal 3 binary64)))) #s(literal 9 binary64)) #s(literal 19683 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(approx (+ (* 3 x) -4) (.f64 x #s(literal 3 binary64))) (.f64 #s(approx (+ (* 3 x) -4) (.f64 x #s(literal 3 binary64))) #s(approx (+ ( 3 x) -4) (.f64 x #s(literal 3 binary64)))))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(approx (+ (* 3 x) -4) (.f64 x #s(literal 3 binary64))) (.f64 #s(approx (+ (* 3 x) -4) (.f64 x #s(literal 3 binary64))) #s(approx (+ ( 3 x) -4) (.f64 x #s(literal 3 binary64)))))) #s(literal 729 binary64)) (-.f64 #s(literal 729 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(approx (+ (* 3 x) -4) (.f64 x #s(literal 3 binary64))) (.f64 #s(approx (+ (* 3 x) -4) (.f64 x #s(literal 3 binary64))) #s(approx (+ ( 3 x) -4) (.f64 x #s(literal 3 binary64)))))) #s(literal 729 binary64)))) (-.f64 (fma.f64 (.f64 x #s(approx (+ (* 3 x) -4) (.f64 x #s(literal 3 binary64)))) (.f64 (.f64 x #s(approx (+ ( 3 x) -4) (.f64 x #s(literal 3 binary64)))) #s(literal 9 binary64)) #s(literal 9 binary64)) (.f64 (.f64 x #s(approx (+ ( 3 x) -4) (*.f64 x #s(literal 3 binary64)))) #s(literal 9 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(approx (+ (* 3 x) -4) (.f64 x #s(literal 3 binary64))) (.f64 #s(approx (+ (* 3 x) -4) (.f64 x #s(literal 3 binary64))) #s(approx (+ ( 3 x) -4) (.f64 x #s(literal 3 binary64)))))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(approx (+ (* 3 x) -4) (.f64 x #s(literal 3 binary64))) (.f64 #s(approx (+ (* 3 x) -4) (.f64 x #s(literal 3 binary64))) #s(approx (+ ( 3 x) -4) (.f64 x #s(literal 3 binary64)))))) #s(literal 729 binary64))) #s(literal 729 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (.f64 #s(approx (+ ( 3 x) -4) (.f64 x #s(literal 3 binary64))) (.f64 #s(approx (+ (* 3 x) -4) (.f64 x #s(literal 3 binary64))) #s(approx (+ ( 3 x) -4) (.f64 x #s(literal 3 binary64)))))) #s(literal 27 binary64)) (-.f64 (fma.f64 (.f64 x #s(approx (+ (* 3 x) -4) (.f64 x #s(literal 3 binary64)))) (.f64 (.f64 x #s(approx (+ ( 3 x) -4) (.f64 x #s(literal 3 binary64)))) #s(literal 9 binary64)) #s(literal 9 binary64)) (.f64 (.f64 x #s(approx (+ ( 3 x) -4) (*.f64 x #s(literal 3 binary64)))) #s(literal 9 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(approx (+ (* 3 x) -4) (.f64 x #s(literal 3 binary64))) (.f64 #s(approx (+ (* 3 x) -4) (.f64 x #s(literal 3 binary64))) #s(approx (+ ( 3 x) -4) (.f64 x #s(literal 3 binary64)))))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(approx (+ (* 3 x) -4) (.f64 x #s(literal 3 binary64))) (.f64 #s(approx (+ (* 3 x) -4) (.f64 x #s(literal 3 binary64))) #s(approx (+ ( 3 x) -4) (.f64 x #s(literal 3 binary64)))))) #s(literal 729 binary64))) #s(literal 729 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (.f64 #s(approx (+ (* 3 x) -4) (.f64 x #s(literal 3 binary64))) #s(approx (+ ( 3 x) -4) (.f64 x #s(literal 3 binary64))))) (.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (.f64 #s(approx (+ ( 3 x) -4) (.f64 x #s(literal 3 binary64))) #s(approx (+ ( 3 x) -4) (.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 81 binary64) (.f64 (.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (.f64 #s(approx (+ (* 3 x) -4) (.f64 x #s(literal 3 binary64))) #s(approx (+ ( 3 x) -4) (.f64 x #s(literal 3 binary64))))) #s(literal 9 binary64)))) (fma.f64 (.f64 x #s(literal 3 binary64)) #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) #s(literal -3 binary64))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (.f64 #s(approx (+ (* 3 x) -4) (.f64 x #s(literal 3 binary64))) #s(approx (+ ( 3 x) -4) (.f64 x #s(literal 3 binary64))))) (.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (.f64 #s(approx (+ ( 3 x) -4) (.f64 x #s(literal 3 binary64))) #s(approx (+ ( 3 x) -4) (.f64 x #s(literal 3 binary64)))))) #s(literal 81 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x #s(approx (+ ( 3 x) -4) (.f64 x #s(literal 3 binary64)))) (.f64 (.f64 x #s(approx (+ ( 3 x) -4) (.f64 x #s(literal 3 binary64)))) #s(literal 9 binary64)) #s(literal 9 binary64)) (fma.f64 (.f64 x #s(literal 3 binary64)) #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) #s(literal -3 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (.f64 #s(approx (+ (* 3 x) -4) (.f64 x #s(literal 3 binary64))) (.f64 #s(approx (+ (* 3 x) -4) (.f64 x #s(literal 3 binary64))) #s(approx (+ ( 3 x) -4) (.f64 x #s(literal 3 binary64))))) #s(literal 27 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 x #s(approx (+ (* 3 x) -4) (.f64 x #s(literal 3 binary64)))) (.f64 (.f64 x #s(approx (+ ( 3 x) -4) (.f64 x #s(literal 3 binary64)))) #s(literal 9 binary64)) #s(literal 9 binary64)) (.f64 (.f64 x #s(approx (+ ( 3 x) -4) (*.f64 x #s(literal 3 binary64)))) #s(literal 9 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x #s(approx (+ ( 3 x) -4) (.f64 x #s(literal 3 binary64)))) (.f64 (.f64 x #s(approx (+ ( 3 x) -4) (.f64 x #s(literal 3 binary64)))) #s(literal 9 binary64)) #s(literal -9 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 x #s(literal 3 binary64)) #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) #s(literal -3 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 9 binary64) (.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (.f64 #s(approx (+ (* 3 x) -4) (.f64 x #s(literal 3 binary64))) #s(approx (+ ( 3 x) -4) (.f64 x #s(literal 3 binary64))))))) (neg.f64 (-.f64 #s(literal 3 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(approx (+ ( 3 x) -4) (*.f64 x #s(literal 3 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (.f64 #s(approx (+ (* 3 x) -4) (.f64 x #s(literal 3 binary64))) #s(approx (+ ( 3 x) -4) (.f64 x #s(literal 3 binary64))))) (fma.f64 (.f64 x #s(literal 3 binary64)) #s(approx (+ (* 3 x) -4) (.f64 x #s(literal 3 binary64))) #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 9 binary64) (fma.f64 (.f64 x #s(literal 3 binary64)) #s(approx (+ (* 3 x) -4) (.f64 x #s(literal 3 binary64))) #s(literal -3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (.f64 #s(approx (+ ( 3 x) -4) (.f64 x #s(literal 3 binary64))) #s(approx (+ ( 3 x) -4) (.f64 x #s(literal 3 binary64))))) (fma.f64 (.f64 x #s(literal 3 binary64)) #s(approx (+ (* 3 x) -4) (.f64 x #s(literal 3 binary64))) #s(literal -3 binary64))) (/.f64 (.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (.f64 #s(approx (+ ( 3 x) -4) (.f64 x #s(literal 3 binary64))) #s(approx (+ ( 3 x) -4) (.f64 x #s(literal 3 binary64))))) (fma.f64 (.f64 x #s(literal 3 binary64)) #s(approx (+ (* 3 x) -4) (.f64 x #s(literal 3 binary64))) #s(literal -3 binary64))) (fma.f64 (/.f64 #s(literal 9 binary64) (fma.f64 (.f64 x #s(literal 3 binary64)) #s(approx (+ (* 3 x) -4) (.f64 x #s(literal 3 binary64))) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 (.f64 x #s(literal 3 binary64)) #s(approx (+ (* 3 x) -4) (.f64 x #s(literal 3 binary64))) #s(literal -3 binary64))) (.f64 (/.f64 (.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (.f64 #s(approx (+ (* 3 x) -4) (.f64 x #s(literal 3 binary64))) #s(approx (+ ( 3 x) -4) (.f64 x #s(literal 3 binary64))))) (fma.f64 (.f64 x #s(literal 3 binary64)) #s(approx (+ (* 3 x) -4) (.f64 x #s(literal 3 binary64))) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 (.f64 x #s(literal 3 binary64)) #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) #s(literal -3 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal 3 binary64)) #s(approx (+ ( 3 x) -4) (*.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 3 binary64) (fma.f64 x #s(approx (+ ( 3 x) -4) (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal 3 binary64)) #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)))
(.f64 (fma.f64 (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (.f64 #s(approx (+ ( 3 x) -4) (.f64 x #s(literal 3 binary64))) (.f64 #s(approx (+ (* 3 x) -4) (.f64 x #s(literal 3 binary64))) #s(approx (+ ( 3 x) -4) (.f64 x #s(literal 3 binary64))))) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x #s(approx (+ (* 3 x) -4) (.f64 x #s(literal 3 binary64)))) (.f64 (.f64 x #s(approx (+ ( 3 x) -4) (.f64 x #s(literal 3 binary64)))) #s(literal 9 binary64)) #s(literal 9 binary64)) (.f64 (.f64 x #s(approx (+ ( 3 x) -4) (*.f64 x #s(literal 3 binary64)))) #s(literal 9 binary64)))))
(.f64 (fma.f64 (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (.f64 #s(approx (+ ( 3 x) -4) (.f64 x #s(literal 3 binary64))) (.f64 #s(approx (+ (* 3 x) -4) (.f64 x #s(literal 3 binary64))) #s(approx (+ ( 3 x) -4) (.f64 x #s(literal 3 binary64))))) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (-.f64 (.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (.f64 #s(approx (+ ( 3 x) -4) (.f64 x #s(literal 3 binary64))) #s(approx (+ ( 3 x) -4) (.f64 x #s(literal 3 binary64))))) (.f64 (.f64 x #s(approx (+ ( 3 x) -4) (*.f64 x #s(literal 3 binary64)))) #s(literal 9 binary64))))))
(.f64 (fma.f64 (.f64 x #s(approx (+ (* 3 x) -4) (.f64 x #s(literal 3 binary64)))) (.f64 (.f64 x #s(approx (+ ( 3 x) -4) (.f64 x #s(literal 3 binary64)))) #s(literal 9 binary64)) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal 3 binary64)) #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) #s(literal -3 binary64))))
(.f64 (fma.f64 x #s(approx (+ ( 3 x) -4) (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))
(.f64 (neg.f64 (fma.f64 (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (.f64 #s(approx (+ ( 3 x) -4) (.f64 x #s(literal 3 binary64))) (.f64 #s(approx (+ (* 3 x) -4) (.f64 x #s(literal 3 binary64))) #s(approx (+ ( 3 x) -4) (.f64 x #s(literal 3 binary64))))) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (.f64 x #s(approx (+ (* 3 x) -4) (.f64 x #s(literal 3 binary64)))) (.f64 (.f64 x #s(approx (+ ( 3 x) -4) (.f64 x #s(literal 3 binary64)))) #s(literal 9 binary64)) #s(literal 9 binary64)) (.f64 (.f64 x #s(approx (+ ( 3 x) -4) (*.f64 x #s(literal 3 binary64)))) #s(literal 9 binary64))))))
(.f64 (neg.f64 (fma.f64 (.f64 x #s(approx (+ (* 3 x) -4) (.f64 x #s(literal 3 binary64)))) (.f64 (.f64 x #s(approx (+ ( 3 x) -4) (.f64 x #s(literal 3 binary64)))) #s(literal 9 binary64)) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x #s(literal 3 binary64)) #s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64))) #s(literal -3 binary64)))))
(.f64 (-.f64 #s(literal 9 binary64) (.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (.f64 #s(approx (+ ( 3 x) -4) (.f64 x #s(literal 3 binary64))) #s(approx (+ ( 3 x) -4) (.f64 x #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (.f64 (.f64 x #s(literal 3 binary64)) #s(approx (+ ( 3 x) -4) (*.f64 x #s(literal 3 binary64)))))))
(.f64 x #s(approx (+ ( 3 x) -4) (*.f64 x #s(literal 3 binary64))))
(.f64 #s(approx (+ ( 3 x) -4) (*.f64 x #s(literal 3 binary64))) x)
#s(approx (+ (* 3 x) -4) (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)

eval41.0ms (0.6%)

Memory: -15.6MiB live, 70.8MiB allocated
Compiler: Compiled 6 317 to 608 computations (90.4% saved)

prune42.0ms (0.6%)

Memory

11.5MiB live, 87.9MiB allocated

Pruning

12 alts after pruning (0 fresh and 12 done)

	Pruned	Kept	Total
New	298	0	298
Fresh	0	0	0
Picked	0	3	3
Done	0	9	9
Total	298	12	310

Accuracy

100.0%

Counts

310 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) #s(literal 3 binary64) #s(literal 3 binary64))
✓	96.4%	(fma.f64 (.f64 #s(approx (+ ( 3 x) -4) (*.f64 #s(literal 3 binary64) x)) x) #s(literal 3 binary64) #s(literal 3 binary64))
✓	50.9%	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64))))
✓	50.5%	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))))
✓	50.9%	#s(approx (+ (* (* x 3) (+ (* x 3) -4)) 3) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
✓	50.6%	#s(approx (+ (* (* x 3) (+ (* x 3) -4)) 3) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
✓	50.2%	#s(approx (+ (* (* x 3) (+ (* x 3) -4)) 3) (.f64 x (.f64 x #s(literal 9 binary64))))
✓	3.9%	#s(approx (+ (* (* x 3) (+ (* x 3) -4)) 3) (.f64 x #s(approx (+ ( x 9) -12) #s(literal -12 binary64))))
✓	99.9%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64)))
✓	50.2%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
✓	50.1%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) x)))
✓	50.7%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Compiler

Compiled 218 to 92 computations (57.8% saved)

regimes22.0ms (0.3%)

Memory

7.1MiB live, 45.9MiB allocated

Counts

17 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 38 to 27 computations (28.9% saved)

regimes29.0ms (0.4%)

Memory

-34.1MiB live, 30.8MiB allocated

Counts

9 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

18.0ms	(.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)))
3.0ms	x
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
97.6%	3	`x`
97.6%	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)))`
97.6%	2	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
97.6%	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)

regimes8.0ms (0.1%)

Memory

10.8MiB live, 10.8MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

3 calls:

3.0ms

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

2.0ms

(*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 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
97.0%	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)))`
97.0%	2	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
97.0%	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)

regimes7.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

3 calls:

2.0ms

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

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
96.9%	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)))`
96.9%	2	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
96.9%	2	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))`

Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes36.0ms (0.5%)

Memory

-26.8MiB live, 12.2MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

29.0ms	(.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)))
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))

Results

Accuracy	Segments	Branch
50.9%	1	`x`
50.9%	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)))`
50.9%	1	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
50.9%	1	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))`

Compiler

Compiled 38 to 27 computations (28.9% saved)

regimes6.0ms (0.1%)

Memory

10.9MiB live, 10.9MiB allocated

Accuracy

Total -30.4b remaining (-96.3%)

Threshold costs -30.4b (-96.3%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
2.0ms	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
50.7%	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)))`
50.7%	1	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
50.7%	1	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))`
50.7%	1	`x`

Compiler

Compiled 38 to 27 computations (28.9% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.6974912872948882	3.536939155975835

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.6974912872948882	3.536939155975835

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.6974912872948882	3.536939155975835

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify8.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated

Algorithm

1×	egg-herbie

Rules

20×	`*-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	38	200
1	53	200
2	64	200
3	70	200
4	74	200
5	75	200

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.3s (19.6%)

Memory

1.3MiB live, 387.9MiB allocated

Rules

8 226×	`lower-fma.f64`
8 226×	`lower-fma.f32`
6 316×	`lower-fma.f64`
6 316×	`lower-fma.f32`
6 170×	`lower-fma.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
0	63	904
1	170	904
2	430	876
3	1065	876
4	2274	876
5	4873	876
6	7468	876
0	8020	744
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×	done
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 151 to 67 computations (55.6% saved)

preprocess62.0ms (0.9%)

Memory: -8.6MiB live, 111.3MiB allocated
Compiler: Compiled 224 to 82 computations (63.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (16%)

explain161.0ms (2.4%)

preprocess185.0ms (2.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify68.0ms (1%)

localize27.0ms (0.4%)

series16.0ms (0.2%)

simplify212.0ms (3.1%)

rewrite348.0ms (5.1%)

eval136.0ms (2%)

prune56.0ms (0.8%)

simplify60.0ms (0.9%)

localize97.0ms (1.4%)

series8.0ms (0.1%)

simplify173.0ms (2.5%)

rewrite527.0ms (7.7%)

eval416.0ms (6.1%)

prune156.0ms (2.3%)

simplify87.0ms (1.3%)

localize111.0ms (1.6%)

series7.0ms (0.1%)

simplify167.0ms (2.4%)

rewrite312.0ms (4.6%)

eval108.0ms (1.6%)

prune104.0ms (1.5%)

simplify92.0ms (1.3%)

localize75.0ms (1.1%)

series31.0ms (0.4%)

simplify158.0ms (2.3%)

rewrite256.0ms (3.7%)

eval41.0ms (0.6%)

prune42.0ms (0.6%)

regimes22.0ms (0.3%)

regimes29.0ms (0.4%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes36.0ms (0.5%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

soundness1.3s (19.6%)

preprocess62.0ms (0.9%)

end0.0ms (0%)

Profiling