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

start0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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)

sample872.0ms (15.7%)

Memory

-3.5MiB live, 1 073.8MiB allocated

Samples

540.0ms

8 256×

valid

Precisions

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

ival-mult: 252.0ms (69% of total)

ival-sub: 49.0ms (13.4% of total)

ival-add: 43.0ms (11.8% of total)

exact: 11.0ms (3% of total)

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

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

Bogosity

explain121.0ms (2.2%)

Memory

2.4MiB live, 235.2MiB 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

42.0ms

512×

valid

Compiler

Compiled 114 to 34 computations (70.2% saved)

Precisions

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

ival-mult: 20.0ms (77% of total)

ival-sub: 3.0ms (11.5% of total)

ival-add: 2.0ms (7.7% of total)

exact: 1.0ms (3.8% of total)

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

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

preprocess112.0ms (2%)

Memory

-2.5MiB live, 112.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Compiler

Compiled 14 to 10 computations (28.6% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune3.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB 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)

simplify52.0ms (0.9%)

Memory

27.4MiB live, 65.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize40.0ms (0.7%)

Memory

-26.1MiB live, 67.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x #s(literal 3 binary64))
accuracy	0.00390625	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
accuracy	0.0859375	(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
accuracy	0.140625	(.f64 (.f64 x #s(literal 3 binary64)) x)

Samples

18.0ms

256×

valid

Compiler

Compiled 50 to 12 computations (76% saved)

Precisions

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

ival-mult: 9.0ms (75.7% of total)

ival-sub: 1.0ms (8.4% of total)

ival-add: 1.0ms (8.4% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

11.1MiB live, 11.1MiB 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 (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 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 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 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 (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 (* 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 (* 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 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 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 (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 (* 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 (* 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 -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 -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

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((- (* (* x 3) x) (* x 4)) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (- (* (* x 3) x) (* x 4)) 1) (* (* x 3) x) (* x 3))
1.0ms	x	@	-inf	((- (* (* x 3) x) (* x 4)) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (- (* (* x 3) x) (* x 4)) 1) (* (* x 3) x) (* x 3))
1.0ms	x	@	0	((- (* (* x 3) x) (* x 4)) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (- (* (* x 3) x) (* x 4)) 1) (* (* x 3) x) (* x 3))

Time

Variable

Point

Expression

2.0ms

inf

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

1.0ms

-inf

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

1.0ms

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

simplify108.0ms (1.9%)

Memory

-0.3MiB live, 115.2MiB allocated

Algorithm

1×	egg-herbie

Rules

6 316×	`lower-fma.f64`
6 316×	`lower-fma.f32`
2 412×	`lower-*.f64`
2 412×	`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	756	344
4	1962	340
5	4238	340
6	5965	340
7	7680	340
0	8024	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
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(+ 3 (* x (- (* 9 x) 12)))
1
(+ 1 (* -4 x))
(+ 1 (* x (- (* 3 x) 4)))
(+ 1 (* x (- (* 3 x) 4)))
(* 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 (pow x 2))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(* 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))))
(* 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))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 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))))
(* 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 (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 x)
(* 3 x)
(* 3 x)
(* 3 x)

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

rewrite344.0ms (6.2%)

Memory

3.7MiB live, 265.1MiB 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 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 16 binary64))) (.f64 (.f64 (.f64 x x) x) (fma.f64 #s(literal 27 binary64) (.f64 (.f64 x x) x) #s(literal 64 binary64)))) (-.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(literal 16 binary64))) (.f64 (.f64 (.f64 x x) #s(literal 12 binary64)) x)))
(.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 #s(literal 27 binary64) (.f64 (.f64 x x) x)) #s(literal 64 binary64))) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(literal 16 binary64)) (.f64 (.f64 (.f64 x x) #s(literal 12 binary64)) x)) (-.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 16 binary64))) (.f64 (.f64 (.f64 x x) #s(literal 12 binary64)) x)))) (-.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 16 binary64))) (.f64 (.f64 (*.f64 x x) #s(literal 12 binary64)) x)))
(.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 #s(literal 27 binary64) (.f64 (.f64 x x) x)) #s(literal 64 binary64))) (fma.f64 (.f64 (.f64 #s(literal 27 binary64) (.f64 (.f64 x x) x)) (.f64 #s(literal 27 binary64) (.f64 (.f64 x x) x))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)) x) (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)) x)) (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)) x))))) (fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x) (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x)) x (.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64))) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64))) (.f64 (.f64 (.f64 (*.f64 x x) #s(literal 9 binary64)) x) x)))))
(.f64 (/.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 16 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 16 binary64)))) (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x))
(.f64 (.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)) x) x) (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 9 binary64)) #s(literal 16 binary64))) x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64))))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)) x)) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 16 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(literal 16 binary64)) (.f64 (.f64 (.f64 x x) #s(literal 12 binary64)) x))) (.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 #s(literal 27 binary64) (.f64 (.f64 x x) x)) #s(literal 64 binary64))))
(.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 16 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)))))
(.f64 (neg.f64 (.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 #s(literal 27 binary64) (.f64 (.f64 x x) x)) #s(literal 64 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(literal 16 binary64)) (.f64 (.f64 (.f64 x x) #s(literal 12 binary64)) x)))))
(.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)) x) (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)) x)))
(.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)) x) (.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)) x))))
(.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 16 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)) x)) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 16 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)) x)))
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(fma.f64 (.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 #s(literal 27 binary64) (.f64 (.f64 x x) x)) #s(literal 64 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(literal 16 binary64))) (.f64 (.f64 x x) (.f64 #s(literal -12 binary64) x)))) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 #s(literal 27 binary64) (.f64 (.f64 x x) x)) #s(literal 64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(literal 16 binary64)) (.f64 (.f64 (*.f64 x x) #s(literal 12 binary64)) x))) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal -1 binary64)))))
(fma.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 4 binary64) x) #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 4 binary64) (neg.f64 x) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 3 binary64) x) x (fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(literal 3 binary64) (*.f64 x x) (fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64)))
(fma.f64 x (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #s(literal 1 binary64))
(fma.f64 x #s(literal -4 binary64) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 1 binary64)))
(fma.f64 x (*.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64)))
(-.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) (.f64 #s(literal 4 binary64) x))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x) (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)) x))) (/.f64 (.f64 (.f64 #s(literal 16 binary64) x) x) (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)) x)))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 27 binary64) (.f64 (.f64 x x) x)) (/.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(literal 16 binary64)) (.f64 (.f64 (.f64 x x) #s(literal 12 binary64)) x))))) (.f64 #s(literal 64 binary64) (/.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(literal 16 binary64)) (.f64 (.f64 (*.f64 x x) #s(literal 12 binary64)) x)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)) x #s(literal -1 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) x #s(literal -1 binary64))) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)) x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x)) (fma.f64 (neg.f64 x) (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 27 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64) (.f64 (fma.f64 #s(literal 4 binary64) x #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)) x #s(literal -1 binary64))))) (/.f64 (.f64 (.f64 (fma.f64 #s(literal 4 binary64) x #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) x #s(literal -1 binary64))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64) (.f64 (fma.f64 #s(literal 4 binary64) x #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)) x #s(literal -1 binary64))))))
(-.f64 (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) x))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x) (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)) x)) (-.f64 (/.f64 (.f64 (.f64 #s(literal 16 binary64) x) x) (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)) x)) #s(literal 1 binary64)))
(-.f64 (.f64 (.f64 #s(literal 27 binary64) (.f64 (.f64 x x) x)) (/.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(literal 16 binary64)) (.f64 (.f64 (.f64 x x) #s(literal 12 binary64)) x)))) (-.f64 (.f64 #s(literal 64 binary64) (/.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(literal 16 binary64)) (.f64 (.f64 (*.f64 x x) #s(literal 12 binary64)) x)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x)) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal -1 binary64))))
(-.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) #s(literal -1 binary64))
(-.f64 (.f64 (.f64 #s(literal 3 binary64) x) x) (fma.f64 #s(literal 4 binary64) x #s(literal -1 binary64)))
(+.f64 (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 1 binary64)) (.f64 #s(literal -4 binary64) x))
(+.f64 (fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64)) (.f64 (.f64 #s(literal 3 binary64) x) x))
(+.f64 (/.f64 (.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x)) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal -1 binary64)))))
(+.f64 (.f64 #s(literal -4 binary64) x) (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x))
(+.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) #s(literal 1 binary64))
(+.f64 (.f64 (.f64 #s(literal 3 binary64) x) x) (fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64)))
(.f64 (.f64 x x) #s(literal 3 binary64))
(.f64 (.f64 #s(literal 3 binary64) x) x)
(.f64 #s(literal 3 binary64) (.f64 x x))
(.f64 x (.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 3 binary64) x)
(*.f64 x #s(literal 3 binary64))

eval93.0ms (1.7%)

Memory: -1.5MiB live, 115.0MiB allocated
Compiler: Compiled 12 955 to 1 144 computations (91.2% saved)

prune104.0ms (1.9%)

Memory

-24.8MiB live, 115.0MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	396	7	403
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	397	7	404

Accuracy

100.0%

Counts

404 → 7

Alt Table

Click to see full alt table

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

Compiler

Compiled 104 to 64 computations (38.5% saved)

simplify72.0ms (1.3%)

Memory

32.6MiB live, 70.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

1 544×	`lower-fma.f32`
1 538×	`lower-fma.f64`
624×	`lower-*.f32`
618×	`lower-*.f64`
256×	`lower-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	139
0	31	139
1	61	129
2	99	109
3	188	109
4	298	109
5	402	109
6	613	109
7	959	109
8	1266	109
9	1337	109
10	1374	109
11	1380	109
12	1380	109
0	1380	109

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize60.0ms (1.1%)

Memory

-30.1MiB live, 128.2MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
accuracy	0.15625	(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)
accuracy	30.37018897163254	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))
accuracy	0	(*.f64 x x)
accuracy	0.154628759768442	(.f64 (.f64 x x) #s(literal 9 binary64))
accuracy	30.498784955464348	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
accuracy	0	(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
accuracy	31.349010308144592	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
accuracy	31.72886396477093	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))
accuracy	0	(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
accuracy	0	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)))
accuracy	0.07421875	(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))

Samples

31.0ms	212×	0	valid
6.0ms	20×	2	valid
5.0ms	24×	1	valid

Compiler

Compiled 119 to 22 computations (81.5% saved)

Precisions

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

ival-mult: 18.0ms (60.4% of total)

ival-add: 8.0ms (26.8% of total)

adjust: 2.0ms (6.7% of total)

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

exact: 1.0ms (3.4% of total)

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

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

series8.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated

Counts

11 → 132

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

inf

((* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (* (+ (* 9 x) -12) x) 3) (+ (* 9 x) -12) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (* -12 x) 3) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* (* x x) 9) (* x x) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* (+ (* 9 x) -12) x))

1.0ms

-inf

((* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (* (+ (* 9 x) -12) x) 3) (+ (* 9 x) -12) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (* -12 x) 3) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* (* x x) 9) (* x x) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* (+ (* 9 x) -12) x))

1.0ms

((* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (* (+ (* 9 x) -12) x) 3) (+ (* 9 x) -12) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (* -12 x) 3) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* (* x x) 9) (* x x) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* (+ (* 9 x) -12) x))

simplify224.0ms (4%)

Memory

9.0MiB live, 158.9MiB allocated

Algorithm

1×	egg-herbie

Rules

9 376×	`lower-fma.f64`
9 376×	`lower-fma.f32`
2 786×	`lower-*.f64`
2 786×	`lower-*.f32`
1 328×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	780
1	101	780
2	250	780
3	648	780
4	1713	780
5	3424	780
6	5130	780
7	6408	780
8	7596	780
0	8034	663

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

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

rewrite245.0ms (4.4%)

Memory

22.0MiB live, 185.3MiB allocated

Rules

5 578×	`lower-fma.f32`
5 572×	`lower-fma.f64`
4 828×	`lower-*.f32`
4 822×	`lower-*.f64`
4 046×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	122
0	31	122
1	124	112
2	858	112
0	8470	102

Stop Event

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

Counts

11 → 179

Calls

Call 1

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

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

eval93.0ms (1.7%)

Memory: -38.4MiB live, 109.2MiB allocated
Compiler: Compiled 6 226 to 571 computations (90.8% saved)

prune45.0ms (0.8%)

Memory

-7.9MiB live, 104.8MiB allocated

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	362	3	365
Fresh	0	2	2
Picked	0	5	5
Done	0	0	0
Total	362	10	372

Accuracy

100.0%

Counts

372 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #s(literal 3 binary64))
▶	52.2%	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 (.f64 x x) #s(literal 3 binary64))))
✓	99.9%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)))
✓	51.0%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
✓	52.4%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))
▶	52.0%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -144 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal -12 binary64)))) x))
✓	52.2%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
▶	52.2%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 9 binary64) x) x))
▶	3.8%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 #s(approx (+ ( 9 x) -12) #s(literal -12 binary64)) x))
✓	50.4%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Compiler

Compiled 131 to 81 computations (38.2% saved)

simplify211.0ms (3.8%)

Memory

15.2MiB live, 95.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

3 048×	`lower-fma.f32`
3 040×	`lower-fma.f64`
1 620×	`lower-*.f32`
1 602×	`lower-*.f64`
622×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	217
0	55	217
1	106	197
2	186	196
3	332	196
4	615	196
5	982	196
6	1473	196
7	2319	196
8	3222	196
9	3705	196
10	3893	196
11	3927	196
12	3936	196
13	4132	196
14	4215	196
15	4275	196
16	4304	196
17	4304	196
18	4304	196
19	4304	196
20	4309	196
0	4309	180

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize219.0ms (3.9%)

Memory

9.7MiB live, 129.5MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.15234375	(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal -12 binary64)))
accuracy	0.15625	(.f64 (.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -144 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal -12 binary64)))) x)
accuracy	14.923617480920592	(.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -144 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal -12 binary64))))
accuracy	30.37018897163254	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -144 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal -12 binary64)))) x))
accuracy	0	(*.f64 x x)
accuracy	0.0859375	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 (.f64 x x) #s(literal 3 binary64))))
accuracy	0.1015625	(.f64 (.f64 x x) #s(literal 3 binary64))
accuracy	30.502588921343552	#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (.f64 (.f64 x x) #s(literal 3 binary64)))
accuracy	0	(*.f64 #s(literal 9 binary64) x)
accuracy	0.12890625	(.f64 (.f64 #s(literal 9 binary64) x) x)
accuracy	30.498784955464348	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 9 binary64) x) x))
accuracy	0.15625	(.f64 #s(approx (+ ( 9 x) -12) #s(literal -12 binary64)) x)
accuracy	30.37018897163254	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 #s(approx (+ ( 9 x) -12) #s(literal -12 binary64)) x))
accuracy	31.994635145440224	#s(approx (+ (* 9 x) -12) #s(literal -12 binary64))
accuracy	0	(fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))
accuracy	0	(*.f64 #s(literal 3 binary64) x)
accuracy	0.10060502930532605	(fma.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #s(literal 3 binary64))

Samples

171.0ms	184×	0	valid
15.0ms	35×	2	valid
12.0ms	37×	1	valid

Compiler

Compiled 181 to 36 computations (80.1% saved)

Precisions

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

ival-mult: 24.0ms (55.6% of total)

ival-add: 9.0ms (20.8% of total)

adjust: 5.0ms (11.6% of total)

ival-div: 3.0ms (6.9% 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)

series239.0ms (4.3%)

Memory

-13.3MiB live, 23.6MiB allocated

Counts

18 → 216

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

228.0ms

inf

((+ (* (* 3 x) (+ (* 3 x) -4)) 3) (* 3 x) (+ (* 3 x) -4) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* (+ (* 9 x) -12) x) (+ (* 9 x) -12) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* (* 9 x) x) (* 9 x) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (- (* (* x 3) x) (* x 4)) 1) (* (* x x) 3) (* x x) (* (+ (* 81 (* x x)) -144) (/ -1 (+ (* -9 x) -12))) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* (* (+ (* 81 (* x x)) -144) (/ -1 (+ (* -9 x) -12))) x) (+ (* 81 (* x x)) -144) (/ -1 (+ (* -9 x) -12)))

3.0ms

-inf

((+ (* (* 3 x) (+ (* 3 x) -4)) 3) (* 3 x) (+ (* 3 x) -4) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* (+ (* 9 x) -12) x) (+ (* 9 x) -12) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* (* 9 x) x) (* 9 x) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (- (* (* x 3) x) (* x 4)) 1) (* (* x x) 3) (* x x) (* (+ (* 81 (* x x)) -144) (/ -1 (+ (* -9 x) -12))) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* (* (+ (* 81 (* x x)) -144) (/ -1 (+ (* -9 x) -12))) x) (+ (* 81 (* x x)) -144) (/ -1 (+ (* -9 x) -12)))

2.0ms

((+ (* (* 3 x) (+ (* 3 x) -4)) 3) (* 3 x) (+ (* 3 x) -4) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* (+ (* 9 x) -12) x) (+ (* 9 x) -12) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* (* 9 x) x) (* 9 x) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (- (* (* x 3) x) (* x 4)) 1) (* (* x x) 3) (* x x) (* (+ (* 81 (* x x)) -144) (/ -1 (+ (* -9 x) -12))) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* (* (+ (* 81 (* x x)) -144) (/ -1 (+ (* -9 x) -12))) x) (+ (* 81 (* x x)) -144) (/ -1 (+ (* -9 x) -12)))

simplify166.0ms (3%)

Memory

3.8MiB live, 124.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8 790×	`lower-fma.f64`
8 790×	`lower-fma.f32`
2 866×	`lower-*.f64`
2 866×	`lower-*.f32`
1 614×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	122	1230
1	336	1222
2	789	1222
3	1869	1214
4	4957	1214
0	8079	1064

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

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

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

rewrite211.0ms (3.8%)

Memory

-14.8MiB live, 336.8MiB allocated

Rules

9 284×	`lower-fma.f32`
9 276×	`lower-fma.f64`
4 266×	`lower-*.f32`
4 248×	`lower-*.f64`
3 936×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	195
0	55	195
1	202	174
2	1432	156
0	8706	148

Stop Event

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

Counts

18 → 347

Calls

Call 1

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

Outputs
(.f64 (.f64 (fma.f64 (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) #s(literal -1 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x #s(literal -1 binary64))))
(.f64 (.f64 (fma.f64 (.f64 (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x)) (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x)))))
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(/.f64 (neg.f64 (.f64 (neg.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -144 binary64))) x)) (-.f64 #s(literal 12 binary64) (*.f64 #s(literal -9 binary64) x)))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) (.f64 x x) #s(literal -20736 binary64)) (/.f64 x (-.f64 #s(literal 12 binary64) (.f64 #s(literal -9 binary64) x))))) (neg.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 144 binary64))))
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(/.f64 (.f64 (fma.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) (.f64 x x) #s(literal -20736 binary64)) (/.f64 x (-.f64 #s(literal 12 binary64) (.f64 #s(literal -9 binary64) x)))) (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 144 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal 531441 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -2985984 binary64)) (/.f64 x (-.f64 #s(literal 12 binary64) (.f64 #s(literal -9 binary64) x)))) (fma.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) (.f64 x x) (-.f64 #s(literal 20736 binary64) (.f64 (.f64 x x) #s(literal -11664 binary64)))))
(/.f64 (.f64 x (neg.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -144 binary64)))) (fma.f64 #s(literal -9 binary64) x #s(literal -12 binary64)))
(/.f64 (.f64 x (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -144 binary64))) (-.f64 #s(literal 12 binary64) (*.f64 #s(literal -9 binary64) x)))
(/.f64 (/.f64 x (-.f64 #s(literal 12 binary64) (.f64 #s(literal -9 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -144 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -12 binary64)) (.f64 (neg.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -144 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 144 binary64)) (.f64 (fma.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) (.f64 x x) #s(literal -20736 binary64)) (/.f64 x (-.f64 #s(literal 12 binary64) (.f64 #s(literal -9 binary64) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) (.f64 x x) (-.f64 #s(literal 20736 binary64) (.f64 (.f64 x x) #s(literal -11664 binary64)))) (.f64 (fma.f64 (.f64 #s(literal 531441 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -2985984 binary64)) (/.f64 x (-.f64 #s(literal 12 binary64) (.f64 #s(literal -9 binary64) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -12 binary64)) (.f64 x (neg.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -144 binary64))))))
(/.f64 x (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 12 binary64)))))
(.f64 (-.f64 #s(literal 20736 binary64) (.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -144 binary64) (.f64 #s(literal 81 binary64) (*.f64 x x)))))
(.f64 (neg.f64 (fma.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) (.f64 x x) #s(literal -20736 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal 144 binary64)))))
(.f64 (neg.f64 (fma.f64 (.f64 #s(literal 531441 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -2985984 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) (.f64 x x) (-.f64 #s(literal 20736 binary64) (.f64 (*.f64 x x) #s(literal -11664 binary64)))))))
(.f64 (fma.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) (.f64 x x) #s(literal -20736 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal 144 binary64))))
(.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -144 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 #s(literal 531441 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -2985984 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 20736 binary64) (fma.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) (.f64 x x) (.f64 (*.f64 x x) #s(literal 11664 binary64))))))
(.f64 (fma.f64 (.f64 #s(literal 531441 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -2985984 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) (.f64 x x) (-.f64 #s(literal 20736 binary64) (.f64 (*.f64 x x) #s(literal -11664 binary64))))))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -144 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -144 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) (.f64 x x)) (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 144 binary64))) (/.f64 (.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) (.f64 x x)) (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 144 binary64)))) (.f64 (/.f64 #s(literal 20736 binary64) (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 144 binary64))) (/.f64 #s(literal 20736 binary64) (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 144 binary64))))) (+.f64 (/.f64 (.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) (.f64 x x)) (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 144 binary64))) (/.f64 #s(literal 20736 binary64) (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 144 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) (.f64 x x)) (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 144 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 20736 binary64) (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 144 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) (.f64 x x)) (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 144 binary64))) (/.f64 (.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) (.f64 x x)) (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 144 binary64))) (fma.f64 (/.f64 #s(literal 20736 binary64) (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 144 binary64))) (/.f64 #s(literal 20736 binary64) (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 144 binary64))) (.f64 (/.f64 (.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) (.f64 x x)) (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 144 binary64))) (/.f64 #s(literal 20736 binary64) (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal 144 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 20736 binary64) (.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) (.f64 x x)))) (neg.f64 (-.f64 #s(literal -144 binary64) (.f64 #s(literal 81 binary64) (.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) (.f64 x x) #s(literal -20736 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 144 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 531441 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -2985984 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) (.f64 x x) (-.f64 #s(literal 20736 binary64) (.f64 (.f64 x x) #s(literal -11664 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) (.f64 x x)) (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 144 binary64))) (.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 144 binary64)) #s(literal 20736 binary64))) (.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 144 binary64)) (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal 144 binary64))))
(/.f64 (-.f64 #s(literal 20736 binary64) (.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) (.f64 x x))) (-.f64 #s(literal -144 binary64) (.f64 #s(literal 81 binary64) (.f64 x x))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) (.f64 x x) #s(literal -20736 binary64))) (neg.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 144 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 531441 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -2985984 binary64))) (neg.f64 (+.f64 #s(literal 20736 binary64) (fma.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) (.f64 x x) (.f64 (.f64 x x) #s(literal 11664 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 531441 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -2985984 binary64))) (neg.f64 (fma.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) (.f64 x x) (-.f64 #s(literal 20736 binary64) (.f64 (.f64 x x) #s(literal -11664 binary64))))))
(/.f64 (fma.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) (.f64 x x) #s(literal -20736 binary64)) (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 144 binary64)))
(/.f64 (fma.f64 (.f64 #s(literal 531441 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -2985984 binary64)) (+.f64 #s(literal 20736 binary64) (fma.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) (.f64 x x) (.f64 (.f64 x x) #s(literal 11664 binary64)))))
(/.f64 (fma.f64 (.f64 #s(literal 531441 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -2985984 binary64)) (fma.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) (.f64 x x) (-.f64 #s(literal 20736 binary64) (.f64 (.f64 x x) #s(literal -11664 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -144 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -144 binary64) (.f64 #s(literal 81 binary64) (.f64 x x))) (-.f64 #s(literal 20736 binary64) (.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 20736 binary64) (fma.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) (.f64 x x) (.f64 (.f64 x x) #s(literal 11664 binary64)))) (fma.f64 (.f64 #s(literal 531441 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -2985984 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -144 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -144 binary64))))
(fma.f64 (pow.f64 (.f64 #s(literal -9 binary64) x) #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal -9 binary64) x) #s(literal 1 binary64)) #s(literal -144 binary64))
(fma.f64 (pow.f64 (.f64 #s(literal 9 binary64) x) #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal 9 binary64) x) #s(literal 1 binary64)) #s(literal -144 binary64))
(fma.f64 (.f64 (.f64 #s(literal 9 binary64) x) #s(literal 9 binary64)) x #s(literal -144 binary64))
(fma.f64 (.f64 (.f64 #s(literal -9 binary64) x) #s(literal -9 binary64)) x #s(literal -144 binary64))
(fma.f64 (.f64 (.f64 #s(literal -9 binary64) x) x) #s(literal -9 binary64) #s(literal -144 binary64))
(fma.f64 (*.f64 #s(literal 81 binary64) x) x #s(literal -144 binary64))
(fma.f64 (.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 144 binary64))) (neg.f64 (/.f64 #s(literal 20736 binary64) (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 144 binary64)))))
(fma.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 9 binary64) #s(literal -144 binary64))
(fma.f64 (.f64 #s(literal -9 binary64) x) (.f64 #s(literal -9 binary64) x) #s(literal -144 binary64))
(fma.f64 #s(literal -9 binary64) (.f64 x (.f64 #s(literal -9 binary64) x)) #s(literal -144 binary64))
(fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -144 binary64))
(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))
(fma.f64 (.f64 #s(literal 9 binary64) x) (.f64 #s(literal 9 binary64) x) #s(literal -144 binary64))
(fma.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal -144 binary64))
(fma.f64 x (.f64 #s(literal 9 binary64) (.f64 #s(literal 9 binary64) x)) #s(literal -144 binary64))
(fma.f64 x (.f64 #s(literal -9 binary64) (.f64 #s(literal -9 binary64) x)) #s(literal -144 binary64))
(fma.f64 x (*.f64 #s(literal 81 binary64) x) #s(literal -144 binary64))
(-.f64 (/.f64 #s(literal 20736 binary64) (-.f64 #s(literal -144 binary64) (.f64 #s(literal 81 binary64) (.f64 x x)))) (/.f64 (.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) (.f64 x x)) (-.f64 #s(literal -144 binary64) (.f64 #s(literal 81 binary64) (.f64 x x)))))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 531441 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)) (fma.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) (.f64 x x) (-.f64 #s(literal 20736 binary64) (.f64 (.f64 x x) #s(literal -11664 binary64))))) (/.f64 #s(literal 2985984 binary64) (fma.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) (.f64 x x) (-.f64 #s(literal 20736 binary64) (.f64 (.f64 x x) #s(literal -11664 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) (.f64 x x)) (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 144 binary64))) (/.f64 #s(literal 20736 binary64) (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 144 binary64))))
(-.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal 144 binary64))
(+.f64 (/.f64 (.f64 (.f64 #s(literal 6561 binary64) (.f64 x x)) (.f64 x x)) (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 144 binary64))) (neg.f64 (/.f64 #s(literal 20736 binary64) (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 144 binary64)))))
(+.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal -144 binary64))
(+.f64 #s(literal -144 binary64) (.f64 #s(literal 81 binary64) (.f64 x x)))
(.f64 (pow.f64 (-.f64 #s(literal 12 binary64) (.f64 #s(literal -9 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 12 binary64) (*.f64 #s(literal -9 binary64) x)) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -144 binary64))) (fma.f64 #s(literal -9 binary64) x #s(literal 12 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -729 binary64) (.f64 (.f64 x x) x) #s(literal -1728 binary64))) (fma.f64 #s(literal 81 binary64) (.f64 x x) (-.f64 #s(literal 144 binary64) (*.f64 x #s(literal 108 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal -12 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal -12 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal -12 binary64))))
(pow.f64 (-.f64 #s(literal 12 binary64) (*.f64 #s(literal -9 binary64) x)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal -12 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 12 binary64) (*.f64 #s(literal -9 binary64) x)))
(neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal -12 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal -12 binary64))))
(exp.f64 (.f64 (log.f64 (-.f64 #s(literal 12 binary64) (.f64 #s(literal -9 binary64) x))) #s(literal -1 binary64)))

eval73.0ms (1.3%)

Memory: 24.0MiB live, 210.7MiB allocated
Compiler: Compiled 11 520 to 1 137 computations (90.1% saved)

prune71.0ms (1.3%)

Memory

26.5MiB live, 183.1MiB allocated

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	579	2	581
Fresh	0	0	0
Picked	2	3	5
Done	0	5	5
Total	581	10	591

Accuracy

100.0%

Counts

591 → 10

Alt Table

Click to see full alt table

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

Compiler

Compiled 81 to 49 computations (39.5% saved)

simplify99.0ms (1.8%)

Memory

4.2MiB live, 41.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

1 944×	`lower-fma.f32`
1 942×	`lower-fma.f64`
928×	`lower-*.f32`
914×	`lower-*.f64`
352×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	152
0	40	146
1	80	140
2	134	139
3	224	135
4	357	135
5	490	135
6	747	135
7	1175	135
8	1635	135
9	1982	135
10	2411	135
11	2486	135
12	2516	135
13	2536	135
14	2549	135
15	2553	135
0	2553	124

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize192.0ms (3.5%)

Memory

-40.5MiB live, 125.8MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x #s(literal 3 binary64))
accuracy	0.12890625	(.f64 (.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) x)
accuracy	0.25390625	(.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))
accuracy	30.498784955464348	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) x))
accuracy	0.15625	(.f64 (.f64 #s(approx (+ (* 81 (* x x)) -144) (.f64 #s(literal 81 binary64) (.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal -12 binary64)))) x)
accuracy	14.923617480920592	(.f64 #s(approx (+ ( 81 (* x x)) -144) (.f64 #s(literal 81 binary64) (.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal -12 binary64))))
accuracy	30.37018897163254	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(approx (+ (* 81 (* x x)) -144) (.f64 #s(literal 81 binary64) (.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal -12 binary64)))) x))
accuracy	30.703279861375506	#s(approx (+ (* 81 (* x x)) -144) (.f64 #s(literal 81 binary64) (.f64 x x)))

Samples

157.0ms	201×	0	valid
11.0ms	27×	2	valid
6.0ms	28×	1	valid

Compiler

Compiled 109 to 27 computations (75.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 160.0ms

ival-mult: 148.0ms (92.7% of total)

ival-add: 4.0ms (2.5% of total)

adjust: 3.0ms (1.9% of total)

ival-div: 3.0ms (1.9% of total)

ival-sub: 1.0ms (0.6% of total)

exact: 1.0ms (0.6% of total)

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

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

series7.0ms (0.1%)

Memory

13.7MiB live, 13.7MiB allocated

Counts

8 → 96

Calls

Call 1

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

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

3 calls:

Time

Variable

Point

Expression

1.0ms

-inf

((* (+ (* 81 (* x x)) -144) (/ -1 (+ (* -9 x) -12))) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* (* (+ (* 81 (* x x)) -144) (/ -1 (+ (* -9 x) -12))) x) (+ (* 81 (* x x)) -144) (* (* x 3) 3) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* (* (* x 3) 3) x) (* x 3))

1.0ms

inf

((* (+ (* 81 (* x x)) -144) (/ -1 (+ (* -9 x) -12))) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* (* (+ (* 81 (* x x)) -144) (/ -1 (+ (* -9 x) -12))) x) (+ (* 81 (* x x)) -144) (* (* x 3) 3) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* (* (* x 3) 3) x) (* x 3))

1.0ms

((* (+ (* 81 (* x x)) -144) (/ -1 (+ (* -9 x) -12))) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* (* (+ (* 81 (* x x)) -144) (/ -1 (+ (* -9 x) -12))) x) (+ (* 81 (* x x)) -144) (* (* x 3) 3) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* (* (* x 3) 3) x) (* x 3))

simplify119.0ms (2.1%)

Memory

12.4MiB live, 100.1MiB allocated

Algorithm

1×	egg-herbie

Rules

6 740×	`lower-fma.f64`
6 740×	`lower-fma.f32`
2 794×	`lower-*.f64`
2 794×	`lower-*.f32`
1 192×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	502
1	113	502
2	267	502
3	658	502
4	1774	502
5	3742	502
6	5772	502
7	7256	502
0	8042	445

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

Inputs
-12
(- (* 9 x) 12)
(- (* 9 x) 12)
(- (* 9 x) 12)
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(+ 3 (* x (- (* 9 x) 12)))
(* -12 x)
(* x (- (* 9 x) 12))
(* x (- (* 9 x) 12))
(* x (- (* 9 x) 12))
-144
(- (* 81 (pow x 2)) 144)
(- (* 81 (pow x 2)) 144)
(- (* 81 (pow x 2)) 144)
(* 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))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 9 x)
(* x (- 9 (* 12 (/ 1 x))))
(* x (- 9 (* 12 (/ 1 x))))
(* x (- 9 (* 12 (/ 1 x))))
(* 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 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* 81 (pow x 2))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 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))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 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))
(* (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))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* 81 (pow x 2))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 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))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)

Outputs
-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))
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) x #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) x #s(literal 3 binary64))
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* x (- (* 9 x) 12))
(*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) x)
(* x (- (* 9 x) 12))
(*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) x)
(* x (- (* 9 x) 12))
(*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) x)
-144
#s(literal -144 binary64)
(- (* 81 (pow x 2)) 144)
(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))
(- (* 81 (pow x 2)) 144)
(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))
(- (* 81 (pow x 2)) 144)
(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))
(* 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 #s(literal -12 binary64) x #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) x #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) x #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* 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)
(* 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 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) x)
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) x #s(literal 3 binary64))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) x #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) x)
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) x)
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) x)
(* 81 (pow x 2))
(.f64 (.f64 x x) #s(literal 81 binary64))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))
(* 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 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) x)
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) x #s(literal 3 binary64))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) x #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* 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)
(* 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 (.f64 x x) #s(literal 9 binary64))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) x)
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) x #s(literal 3 binary64))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) x #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) x)
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) x)
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) x)
(* 81 (pow x 2))
(.f64 (.f64 x x) #s(literal 81 binary64))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))
(* 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 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) x)
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) x #s(literal 3 binary64))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) x #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* 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)

rewrite237.0ms (4.3%)

Memory

-15.6MiB live, 214.2MiB allocated

Rules

8 616×	`lower-fma.f32`
8 614×	`lower-fma.f64`
5 200×	`lower-*.f32`
5 186×	`lower-*.f64`
3 430×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	127
0	40	121
1	141	114
2	884	114
0	8661	103

Stop Event

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

Counts

8 → 106

Calls

Call 1

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

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

eval23.0ms (0.4%)

Memory: -7.2MiB live, 39.2MiB allocated
Compiler: Compiled 2 990 to 299 computations (90% saved)

prune25.0ms (0.4%)

Memory

13.5MiB live, 51.9MiB allocated

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	202	0	202
Fresh	0	0	0
Picked	0	2	2
Done	0	8	8
Total	202	10	212

Accuracy

100.0%

Counts

212 → 10

Alt Table

Click to see full alt table

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

Compiler

Compiled 191 to 90 computations (52.9% saved)

regimes19.0ms (0.3%)

Memory

8.0MiB live, 44.5MiB allocated

Counts

13 → 1

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
4.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
4.0ms	x
4.0ms	(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))

Results

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

Compiler

Compiled 38 to 27 computations (28.9% saved)

regimes12.0ms (0.2%)

Memory

-12.7MiB live, 25.5MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

4.0ms	(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
3.0ms	x
3.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
2.0ms	(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))

Results

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

Compiler

Compiled 38 to 27 computations (28.9% saved)

regimes7.0ms (0.1%)

Memory

17.3MiB live, 17.3MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes28.0ms (0.5%)

Memory

-29.1MiB live, 29.6MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

4 calls:

19.0ms	x
5.0ms	(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
2.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
2.0ms	(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
51.0%	1	`x`
51.0%	1	`(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))`
51.0%	1	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
51.0%	1	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))`

Compiler

Compiled 38 to 27 computations (28.9% saved)

regimes6.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated

Accuracy

Total -30.3b remaining (-95.6%)

Threshold costs -30.3b (-95.6%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 38 to 27 computations (28.9% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.000331654146688808	3050677567827.3755

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.000331654146688808	3050677567827.3755

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify9.0ms (0.2%)

Memory

-21.4MiB live, 16.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	153
1	45	153
2	56	153
3	62	153
4	66	153
5	67	153

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness802.0ms (14.4%)

Memory

10.1MiB live, 322.3MiB allocated

Rules

6 316×	`lower-fma.f64`
6 316×	`lower-fma.f32`
5 578×	`lower-fma.f32`
5 572×	`lower-fma.f64`
4 828×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	344
1	137	344
2	323	344
3	756	344
4	1962	340
5	4238	340
6	5965	340
7	7680	340
0	8024	301
0	23	122
0	31	122
1	124	112
2	858	112
0	8470	102

Stop Event

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

Compiler

Compiled 101 to 47 computations (53.5% saved)

preprocess180.0ms (3.2%)

Memory: 0.2MiB live, 74.1MiB allocated
Compiler: Compiled 178 to 76 computations (57.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample872.0ms (15.7%)

explain121.0ms (2.2%)

preprocess112.0ms (2%)

eval0.0ms (0%)

prune3.0ms (0.1%)

simplify52.0ms (0.9%)

localize40.0ms (0.7%)

series5.0ms (0.1%)

simplify108.0ms (1.9%)

rewrite344.0ms (6.2%)

eval93.0ms (1.7%)

prune104.0ms (1.9%)

simplify72.0ms (1.3%)

localize60.0ms (1.1%)

series8.0ms (0.1%)

simplify224.0ms (4%)

rewrite245.0ms (4.4%)

eval93.0ms (1.7%)

prune45.0ms (0.8%)

simplify211.0ms (3.8%)

localize219.0ms (3.9%)

series239.0ms (4.3%)

simplify166.0ms (3%)

rewrite211.0ms (3.8%)

eval73.0ms (1.3%)

prune71.0ms (1.3%)

simplify99.0ms (1.8%)

localize192.0ms (3.5%)

series7.0ms (0.1%)

simplify119.0ms (2.1%)

rewrite237.0ms (4.3%)

eval23.0ms (0.4%)

prune25.0ms (0.4%)

regimes19.0ms (0.3%)

regimes12.0ms (0.2%)

regimes7.0ms (0.1%)

regimes28.0ms (0.5%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify9.0ms (0.2%)

soundness802.0ms (14.4%)

preprocess180.0ms (3.2%)

end0.0ms (0%)

Profiling