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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

sample941.0ms (15.6%)

Memory

18.9MiB live, 1 189.9MiB allocated

Samples

529.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 342.0ms

ival-mult: 233.0ms (68.2% of total)

ival-sub: 56.0ms (16.4% of total)

ival-add: 34.0ms (10% of total)

exact: 10.0ms (2.9% of total)

ival-true: 5.0ms (1.5% of total)

ival-assert: 3.0ms (0.9% of total)

Bogosity

explain262.0ms (4.3%)

Memory

14.2MiB live, 208.8MiB 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

61.0ms

512×

valid

Compiler

Compiled 113 to 34 computations (69.9% saved)

Precisions

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

ival-mult: 42.0ms (88.9% of total)

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

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

exact: 1.0ms (2.1% of total)

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

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

preprocess104.0ms (1.7%)

Memory

3.0MiB live, 97.5MiB 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 13 to 10 computations (23.1% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.5MiB live, 1.5MiB 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 13 to 10 computations (23.1% saved)

simplify55.0ms (0.9%)

Memory

-2.4MiB live, 73.4MiB 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)

localize37.0ms (0.6%)

Memory

-24.3MiB live, 54.6MiB 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	0.109375	(.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	0.125	(.f64 (.f64 x #s(literal 3 binary64)) x)

Samples

27.0ms

256×

valid

Compiler

Compiled 50 to 12 computations (76% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 12.0ms (79.9% of total)

ival-sub: 1.0ms (6.7% of total)

ival-add: 1.0ms (6.7% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

18.5MiB live, 18.5MiB 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
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	@	-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

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

-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))

simplify148.0ms (2.5%)

Memory

10.4MiB live, 130.8MiB 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)

rewrite283.0ms (4.7%)

Memory

13.8MiB live, 243.4MiB 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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64 binary64)))) (fma.f64 (.f64 (.f64 #s(literal -4 binary64) x) x) (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) (pow.f64 (.f64 (.f64 #s(literal 3 binary64) x) x) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 64 binary64))) (-.f64 (pow.f64 (.f64 (.f64 #s(literal 3 binary64) x) x) #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64))) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 9 binary64) (.f64 (.f64 #s(literal -4 binary64) x) (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)) x))))
(.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 64 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal 3 binary64) x) x) #s(literal 6 binary64)))) (fma.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))) (pow.f64 (.f64 (.f64 #s(literal 3 binary64) x) x) #s(literal 2 binary64))) (pow.f64 (.f64 (.f64 #s(literal 3 binary64) x) x) #s(literal 4 binary64))))
(.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 (pow.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)) x) #s(literal -1 binary64)) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 16 binary64))))
(.f64 (pow.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 12 binary64)) x (hypot.f64 (.f64 #s(literal -4 binary64) x) (.f64 (.f64 #s(literal 3 binary64) x) x))) #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #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 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 64 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 12 binary64)) x (hypot.f64 (.f64 #s(literal -4 binary64) x) (.f64 (.f64 #s(literal 3 binary64) x) 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) (pow.f64 (*.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 (pow.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)) x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 16 binary64))) (pow.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)) x) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 12 binary64)) x (hypot.f64 (.f64 #s(literal -4 binary64) x) (.f64 (.f64 #s(literal 3 binary64) x) x))) (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) (fma.f64 (.f64 (.f64 x x) #s(literal 12 binary64)) x (hypot.f64 (.f64 #s(literal -4 binary64) x) (.f64 (.f64 #s(literal 3 binary64) x) x)))))
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(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 (pow.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal -1 binary64)) #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 (pow.f64 (.f64 (.f64 #s(literal 3 binary64) x) x) #s(literal 2 binary64)) x) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)))) (.f64 (/.f64 (.f64 #s(literal 16 binary64) x) x) (/.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (.f64 (.f64 #s(literal 3 binary64) x) x) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 x x) #s(literal 12 binary64)) x (hypot.f64 (.f64 #s(literal -4 binary64) x) (.f64 (.f64 #s(literal 3 binary64) x) x))))) (/.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 x x) #s(literal 12 binary64)) x (hypot.f64 (.f64 #s(literal -4 binary64) x) (.f64 (*.f64 #s(literal 3 binary64) x) x)))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 3 binary64) x) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)) x #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) x #s(literal -1 binary64)) #s(literal 2 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 (pow.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 3 binary64) x) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 x x) #s(literal 2 binary64)) #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 (pow.f64 (fma.f64 #s(literal 4 binary64) x #s(literal -1 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 x x) #s(literal 2 binary64)) #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 (pow.f64 (.f64 (.f64 #s(literal 3 binary64) x) x) #s(literal 2 binary64)) x) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64))) (-.f64 (.f64 (/.f64 (.f64 #s(literal 16 binary64) x) x) (/.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 3 binary64) x) x) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 x x) #s(literal 12 binary64)) x (hypot.f64 (.f64 #s(literal -4 binary64) x) (.f64 (.f64 #s(literal 3 binary64) x) x)))) (-.f64 (/.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 x x) #s(literal 12 binary64)) x (hypot.f64 (.f64 #s(literal -4 binary64) x) (.f64 (*.f64 #s(literal 3 binary64) x) x)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal -1 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal -1 binary64)) #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 (pow.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal -1 binary64)) #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))

eval172.0ms (2.9%)

Memory: -40.0MiB live, 102.1MiB allocated
Compiler: Compiled 10 427 to 1 174 computations (88.7% saved)

prune14.0ms (0.2%)

Memory

9.3MiB live, 44.8MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	392	11	403
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	393	11	404

Accuracy

100.0%

Counts

404 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	90.4%	(fma.f64 (/.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 16 binary64))) x) (/.f64 #s(literal 3 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64))) #s(literal 3 binary64))
▶	99.9%	(fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
	99.8%	(fma.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #s(literal 3 binary64))
	99.8%	(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal 1 binary64))))
▶	52.7%	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x)))
	52.4%	(.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)))
	50.3%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
	52.7%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))
▶	52.4%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
▶	49.3%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Compiler

Compiled 190 to 146 computations (23.2% saved)

simplify53.0ms (0.9%)

Memory

8.2MiB live, 46.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	152
0	39	154
1	74	135
2	115	126
3	203	126
4	309	126
5	413	126
6	626	126
7	972	126
8	1276	126
9	1349	126
10	1386	126
11	1392	126
12	1392	126
0	1392	124

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize112.0ms (1.9%)

Memory

-16.8MiB live, 106.8MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))
accuracy	0.0703125	(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x)
accuracy	0.109375	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x)))
accuracy	30.19477605807053	#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x))
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	0.078125	(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.16369879138909577	(.f64 (.f64 x x) #s(literal 9 binary64))
accuracy	30.395719117402027	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
accuracy	32.41834516303845	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))
accuracy	0	(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.06640625	(fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))

Samples

91.0ms	234×	0	valid
4.0ms	11×	2	valid
3.0ms	11×	1	valid

Compiler

Compiled 132 to 27 computations (79.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-mult: 74.0ms (87.2% of total)

ival-add: 7.0ms (8.2% of total)

adjust: 1.0ms (1.2% of total)

ival-sub: 1.0ms (1.2% of total)

exact: 1.0ms (1.2% of total)

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

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

series9.0ms (0.2%)

Memory

17.0MiB live, 17.0MiB allocated

Counts

13 → 156

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

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

1.0ms

inf

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

1.0ms

-inf

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

simplify124.0ms (2.1%)

Memory

-19.7MiB live, 166.8MiB allocated

Algorithm

1×	egg-herbie

Rules

5 714×	`lower-fma.f64`
5 714×	`lower-fma.f32`
2 594×	`lower-*.f64`
2 594×	`lower-*.f32`
1 166×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	940
1	170	940
2	430	940
3	1082	916
4	2701	916
5	4868	916
6	7164	916
0	8091	775

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

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

rewrite300.0ms (5%)

Memory

-8.2MiB live, 318.1MiB allocated

Rules

9 798×	`lower-fma.f32`
9 788×	`lower-fma.f64`
4 212×	`lower-*.f32`
4 204×	`lower-*.f64`
4 012×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	135
0	39	137
1	163	109
2	1244	109
0	8478	107

Stop Event

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

Counts

13 → 449

Calls

Call 1

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

Outputs
(.f64 (.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x)) (pow.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 3 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 3 binary64) (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x)) (pow.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (.f64 #s(literal 9 binary64) (.f64 x x)))))
(.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 2 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 (-.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal -3 binary64)) (.f64 #s(literal -12 binary64) x)))))
(.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 729 binary64) (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64) (.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (.f64 #s(literal 9 binary64) (.f64 x x))))))))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 2 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64)))))
(.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 3 binary64)) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 2 binary64)) #s(literal 9 binary64)) (.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 3 binary64))))))
(.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 2 binary64)) #s(literal 9 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64)) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal -3 binary64)) (.f64 #s(literal -12 binary64) x)) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 3 binary64)) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 2 binary64)) (.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 3 binary64))))))
(.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 3 binary64)) #s(literal 27 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 2 binary64)) #s(literal 9 binary64)) (.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 729 binary64) (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64) (.f64 #s(literal -9 binary64) (.f64 (.f64 x x) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))))))))
(.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 729 binary64) (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64) (.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (.f64 #s(literal 9 binary64) (.f64 x x))))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal 1 binary64)) #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)))
(*.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)) (-.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal -3 binary64)) (.f64 #s(literal -12 binary64) x))) (/.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)) (-.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal -3 binary64)) (.f64 #s(literal -12 binary64) x)))) (.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 2 binary64)) (-.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal -3 binary64)) (.f64 #s(literal -12 binary64) x))) (/.f64 (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 2 binary64)) (-.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal -3 binary64)) (.f64 #s(literal -12 binary64) x))))) (+.f64 (/.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)) (-.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal -3 binary64)) (.f64 #s(literal -12 binary64) x))) (/.f64 (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 2 binary64)) (-.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal -3 binary64)) (*.f64 #s(literal -12 binary64) x)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64))) (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64)))) (.f64 (/.f64 #s(literal 9 binary64) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64))))) (+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64)))))
(/.f64 (-.f64 (.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal 3 binary64))) (.f64 #s(literal 144 binary64) (.f64 x x))) (-.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal 3 binary64)) (*.f64 #s(literal -12 binary64) x)))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64))) (.f64 (/.f64 (.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) #s(literal 64 binary64)) (fma.f64 (.f64 #s(literal 9 binary64) x) x (+.f64 #s(literal 16 binary64) (.f64 (.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 16 binary64) (.f64 #s(literal 9 binary64) (.f64 x x)))) (neg.f64 (-.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 9 binary64) x) x #s(literal -16 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64) #s(literal -64 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x (-.f64 #s(literal 16 binary64) (.f64 #s(literal -12 binary64) x))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64))) (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)) #s(literal 16 binary64))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 16 binary64) (.f64 #s(literal 9 binary64) (.f64 x x))) (-.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 9 binary64) x) x #s(literal -16 binary64))) (neg.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64) #s(literal -64 binary64))) (neg.f64 (+.f64 #s(literal 16 binary64) (fma.f64 (.f64 #s(literal 9 binary64) x) x (.f64 #s(literal 12 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64) #s(literal -64 binary64))) (neg.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x (-.f64 #s(literal 16 binary64) (.f64 #s(literal -12 binary64) x)))))
(/.f64 (fma.f64 (*.f64 #s(literal 9 binary64) x) x #s(literal -16 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64) #s(literal -64 binary64)) (+.f64 #s(literal 16 binary64) (fma.f64 (.f64 #s(literal 9 binary64) x) x (.f64 #s(literal 12 binary64) x))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64) #s(literal -64 binary64)) (fma.f64 (.f64 #s(literal 9 binary64) x) x (-.f64 #s(literal 16 binary64) (.f64 #s(literal -12 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (.f64 #s(literal 3 binary64) x)) (-.f64 #s(literal 16 binary64) (.f64 #s(literal 9 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 16 binary64) (fma.f64 (.f64 #s(literal 9 binary64) x) x (.f64 #s(literal 12 binary64) x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64) #s(literal -64 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))))
(fma.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)))))
(fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))
(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))
(-.f64 (/.f64 #s(literal 16 binary64) (-.f64 #s(literal -4 binary64) (.f64 #s(literal 3 binary64) x))) (/.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (-.f64 #s(literal -4 binary64) (.f64 #s(literal 3 binary64) x))))
(-.f64 (/.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64))))
(-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64))
(+.f64 (/.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64))) (neg.f64 (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)))))
(+.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -4 binary64))
(+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x))

eval118.0ms (2%)

Memory: 11.1MiB live, 163.2MiB allocated
Compiler: Compiled 12 402 to 1 377 computations (88.9% saved)

prune44.0ms (0.7%)

Memory

17.9MiB live, 63.5MiB allocated

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	617	6	623
Fresh	3	3	6
Picked	1	4	5
Done	0	0	0
Total	621	13	634

Accuracy

100.0%

Counts

634 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	90.4%	(fma.f64 (/.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 16 binary64))) x) (/.f64 #s(literal 3 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64))) #s(literal 3 binary64))
✓	99.9%	(fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
▶	52.7%	(fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( -12 x) 3) (*.f64 #s(literal -12 binary64) x)))
▶	99.8%	(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal 1 binary64))))
	52.4%	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 (.f64 x x) #s(literal 3 binary64))))
▶	50.3%	#s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
▶	52.7%	#s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))
✓	99.9%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)))
▶	52.3%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) x))
✓	52.4%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
	52.4%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 9 binary64) x) x))
	52.3%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) x)))
✓	49.3%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Compiler

Compiled 191 to 144 computations (24.6% saved)

simplify84.0ms (1.4%)

Memory

-17.8MiB live, 55.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal -12 binary64) x)
cost-diff	0	#s(approx (+ (* -12 x) 3) (*.f64 #s(literal -12 binary64) x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( -12 x) 3) (*.f64 #s(literal -12 binary64) x)))
cost-diff	0	(*.f64 #s(literal 3 binary64) x)
cost-diff	0	(.f64 (.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) x)
cost-diff	0	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) x))
cost-diff	320	(.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3 binary64))
cost-diff	0	(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
cost-diff	0	(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)
cost-diff	0	#s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))
cost-diff	0	(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
cost-diff	0	#s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
cost-diff	0	(fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal 1 binary64)))
cost-diff	1408	(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal 1 binary64))))

Rules

1 680×	`lower-fma.f32`
1 670×	`lower-fma.f64`
672×	`lower-*.f32`
660×	`lower-*.f64`
638×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	155
0	51	153
1	92	139
2	140	137
3	210	137
4	304	137
5	408	137
6	628	137
7	976	137
8	1292	137
9	1381	137
10	1485	137
11	1764	137
12	2567	137
13	2719	137
14	2721	137
15	2721	137
0	2721	133

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize104.0ms (1.7%)

Memory

29.7MiB live, 183.3MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0	(*.f64 #s(literal -12 binary64) x)
accuracy	0.06640625	(fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( -12 x) 3) (*.f64 #s(literal -12 binary64) x)))
accuracy	30.47072424496377	#s(approx (+ (* -12 x) 3) (*.f64 #s(literal -12 binary64) x))
accuracy	0	(*.f64 #s(literal 3 binary64) x)
accuracy	0.15625	(.f64 (.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) x)
accuracy	0.2421875	(.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3 binary64))
accuracy	30.395719117402027	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) x))
accuracy	0	(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
accuracy	0.19921875	(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)
accuracy	30.194219906009728	#s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))
accuracy	0	(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
accuracy	31.782889164293078	#s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
accuracy	0	(fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))
accuracy	0.05859375	(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal 1 binary64))))
accuracy	0.0625	(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal 1 binary64))
accuracy	0.5442577514512963	(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal 1 binary64)))

Samples

43.0ms	205×	0	valid
10.0ms	28×	1	valid
9.0ms	23×	2	valid

Compiler

Compiled 144 to 31 computations (78.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-mult: 28.0ms (62.7% of total)

ival-add: 8.0ms (17.9% of total)

ival-div: 3.0ms (6.7% of total)

adjust: 3.0ms (6.7% of total)

ival-sub: 1.0ms (2.2% of total)

exact: 1.0ms (2.2% of total)

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

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

series39.0ms (0.6%)

Memory

-5.0MiB live, 31.3MiB allocated

Counts

17 → 204

Calls

Call 1

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

Outputs
#s(alt 3 (taylor 0 x) (#s(alt (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal 1 binary64)))) (patch (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (+ 3 (* -12 x)) (taylor 0 x) (#s(alt (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal 1 binary64)))) (patch (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (+ 3 (* x (- (* 9 x) 12))) (taylor 0 x) (#s(alt (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal 1 binary64)))) (patch (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (+ 3 (* x (- (* 9 x) 12))) (taylor 0 x) (#s(alt (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal 1 binary64)))) (patch (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* 4 x)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 4 (* 13 x)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 4 (* x (+ 13 (* 40 x)))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* -4 x)) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* x (- (* 3 x) 4))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* x (- (* 3 x) 4))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal 1 binary64)) #<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 (+ (* (* x x) 9) (+ (* -12 x) 3)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) (patch #s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ 3 (* -12 x)) (taylor 0 x) (#s(alt #s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) (patch #s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ 3 (* x (- (* 9 x) 12))) (taylor 0 x) (#s(alt #s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) (patch #s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ 3 (* x (- (* 9 x) 12))) (taylor 0 x) (#s(alt #s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) (patch #s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) #<representation:binary64>) () ())) ())
#s(alt 3 (taylor 0 x) (#s(alt (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ 3 (* -12 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ 3 (* -12 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ 3 (* -12 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #<representation:binary64>) () ())) ())
#s(alt 3 (taylor 0 x) (#s(alt #s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)) (patch #s(approx (+ ( (* x x) 9) (+ (* -12 x) 3)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)) #<representation:binary64>) () ())) ())
#s(alt (+ 3 (* -12 x)) (taylor 0 x) (#s(alt #s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)) (patch #s(approx (+ ( (* x x) 9) (+ (* -12 x) 3)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)) #<representation:binary64>) () ())) ())
#s(alt (+ 3 (* x (- (* 9 x) 12))) (taylor 0 x) (#s(alt #s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)) (patch #s(approx (+ ( (* x x) 9) (+ (* -12 x) 3)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)) #<representation:binary64>) () ())) ())
#s(alt (+ 3 (* x (- (* 9 x) 12))) (taylor 0 x) (#s(alt #s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)) (patch #s(approx (+ ( (* x x) 9) (+ (* -12 x) 3)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)) #<representation:binary64>) () ())) ())
#s(alt (* -12 x) (taylor 0 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 (* x (- (* 9 x) 12)) (taylor 0 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 (* x (- (* 9 x) 12)) (taylor 0 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 (* x (- (* 9 x) 12)) (taylor 0 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 -12 (taylor 0 x) (#s(alt (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) (patch (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #<representation:binary64>) () ())) ())
#s(alt (- (* 9 x) 12) (taylor 0 x) (#s(alt (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) (patch (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #<representation:binary64>) () ())) ())
#s(alt (- (* 9 x) 12) (taylor 0 x) (#s(alt (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) (patch (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #<representation:binary64>) () ())) ())
#s(alt (- (* 9 x) 12) (taylor 0 x) (#s(alt (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) (patch (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* 9 x) (taylor 0 x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (patch (.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* 9 x) (taylor 0 x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (patch (.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* 9 x) (taylor 0 x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (patch (.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* 9 x) (taylor 0 x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (patch (.f64 (.f64 #s(literal 3 binary64) x) #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 #s(literal 3 binary64) x) #s(literal 3 binary64)) x)) (patch #s(approx ( 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x) #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 #s(literal 3 binary64) x) #s(literal 3 binary64)) x)) (patch #s(approx ( 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x) #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 #s(literal 3 binary64) x) #s(literal 3 binary64)) x)) (patch #s(approx ( 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x) #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 #s(literal 3 binary64) x) #s(literal 3 binary64)) x)) (patch #s(approx ( 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) x)) #<representation:binary64>) () ())) ())
#s(alt (* 9 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) x) (patch (.f64 (.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) x) #<representation:binary64>) () ())) ())
#s(alt (* 9 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) x) (patch (.f64 (.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) x) #<representation:binary64>) () ())) ())
#s(alt (* 9 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) x) (patch (.f64 (.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) x) #<representation:binary64>) () ())) ())
#s(alt (* 9 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) x) (patch (.f64 (.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) x) #<representation:binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (.f64 #s(literal 3 binary64) x) (patch (.f64 #s(literal 3 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (.f64 #s(literal 3 binary64) x) (patch (.f64 #s(literal 3 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (.f64 #s(literal 3 binary64) x) (patch (.f64 #s(literal 3 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (.f64 #s(literal 3 binary64) x) (patch (.f64 #s(literal 3 binary64) x) #<representation:binary64>) () ())) ())
#s(alt 3 (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( -12 x) 3) (.f64 #s(literal -12 binary64) x))) (patch (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ (* -12 x) 3) (*.f64 #s(literal -12 binary64) x))) #<representation:binary64>) () ())) ())
#s(alt (+ 3 (* -12 x)) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( -12 x) 3) (.f64 #s(literal -12 binary64) x))) (patch (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ (* -12 x) 3) (*.f64 #s(literal -12 binary64) x))) #<representation:binary64>) () ())) ())
#s(alt (+ 3 (* x (- (* 9 x) 12))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( -12 x) 3) (.f64 #s(literal -12 binary64) x))) (patch (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ (* -12 x) 3) (*.f64 #s(literal -12 binary64) x))) #<representation:binary64>) () ())) ())
#s(alt (+ 3 (* x (- (* 9 x) 12))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( -12 x) 3) (.f64 #s(literal -12 binary64) x))) (patch (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ (* -12 x) 3) (*.f64 #s(literal -12 binary64) x))) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation:binary64>) () ())) ())
#s(alt 3 (taylor 0 x) (#s(alt #s(approx (+ (* -12 x) 3) (.f64 #s(literal -12 binary64) x)) (patch #s(approx (+ ( -12 x) 3) (*.f64 #s(literal -12 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (+ 3 (* -12 x)) (taylor 0 x) (#s(alt #s(approx (+ (* -12 x) 3) (.f64 #s(literal -12 binary64) x)) (patch #s(approx (+ ( -12 x) 3) (*.f64 #s(literal -12 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (+ 3 (* -12 x)) (taylor 0 x) (#s(alt #s(approx (+ (* -12 x) 3) (.f64 #s(literal -12 binary64) x)) (patch #s(approx (+ ( -12 x) 3) (*.f64 #s(literal -12 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (+ 3 (* -12 x)) (taylor 0 x) (#s(alt #s(approx (+ (* -12 x) 3) (.f64 #s(literal -12 binary64) x)) (patch #s(approx (+ ( -12 x) 3) (*.f64 #s(literal -12 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (* -12 x) (taylor 0 x) (#s(alt (.f64 #s(literal -12 binary64) x) (patch (.f64 #s(literal -12 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (* -12 x) (taylor 0 x) (#s(alt (.f64 #s(literal -12 binary64) x) (patch (.f64 #s(literal -12 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (* -12 x) (taylor 0 x) (#s(alt (.f64 #s(literal -12 binary64) x) (patch (.f64 #s(literal -12 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (* -12 x) (taylor 0 x) (#s(alt (.f64 #s(literal -12 binary64) x) (patch (.f64 #s(literal -12 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (* 9 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal 1 binary64)))) (patch (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (- 9 (* 12 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal 1 binary64)))) (patch (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal 1 binary64)))) #<representation:binary64>) () ())) ())
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#s(alt (/ (+ 1/3 (* -1 (/ (- (* -1 (/ (+ 13/27 (* 40/81 (/ 1 x))) x)) 4/9) x))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (- 3 (* 4 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x)))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x)))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf 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 (* -1 (* x (- (* 4 (/ 1 x)) 3))) (taylor -inf 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 (* -1 (* x (- (* 4 (/ 1 x)) 3))) (taylor -inf 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 (* -1 (* x (- (* 4 (/ 1 x)) 3))) (taylor -inf 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 (* 9 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) (patch #s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (- 9 (* 12 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) (patch #s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) (taylor -inf x) (#s(alt #s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) (patch #s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) (taylor -inf x) (#s(alt #s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) (patch #s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -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 (+ (* (* x x) 9) (+ (* -12 x) 3)) (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)) (patch #s(approx (+ ( (* x x) 9) (+ (* -12 x) 3)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (- 9 (* 12 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)) (patch #s(approx (+ ( (* x x) 9) (+ (* -12 x) 3)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) (taylor -inf x) (#s(alt #s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)) (patch #s(approx (+ ( (* x x) 9) (+ (* -12 x) 3)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) (taylor -inf x) (#s(alt #s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)) (patch #s(approx (+ ( (* x x) 9) (+ (* -12 x) 3)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)) #<representation:binary64>) () ())) ())
#s(alt (* 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 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 x) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (patch (.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* 9 x) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (patch (.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* 9 x) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (patch (.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* 9 x) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (patch (.f64 (.f64 #s(literal 3 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 (.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) x)) (patch #s(approx ( 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (- 9 (* 12 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) x)) (patch #s(approx ( 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x) #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 #s(literal 3 binary64) x) #s(literal 3 binary64)) x)) (patch #s(approx ( 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x) #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 #s(literal 3 binary64) x) #s(literal 3 binary64)) x)) (patch #s(approx ( 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) x)) #<representation:binary64>) () ())) ())
#s(alt (* 9 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) x) (patch (.f64 (.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) x) #<representation:binary64>) () ())) ())
#s(alt (* 9 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) x) (patch (.f64 (.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) x) #<representation:binary64>) () ())) ())
#s(alt (* 9 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) x) (patch (.f64 (.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) x) #<representation:binary64>) () ())) ())
#s(alt (* 9 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) x) (patch (.f64 (.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) x) #<representation:binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (.f64 #s(literal 3 binary64) x) (patch (.f64 #s(literal 3 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (.f64 #s(literal 3 binary64) x) (patch (.f64 #s(literal 3 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (.f64 #s(literal 3 binary64) x) (patch (.f64 #s(literal 3 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (.f64 #s(literal 3 binary64) x) (patch (.f64 #s(literal 3 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (* 9 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( -12 x) 3) (.f64 #s(literal -12 binary64) x))) (patch (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ (* -12 x) 3) (*.f64 #s(literal -12 binary64) x))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (- 9 (* 12 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( -12 x) 3) (.f64 #s(literal -12 binary64) x))) (patch (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ (* -12 x) 3) (*.f64 #s(literal -12 binary64) x))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( -12 x) 3) (.f64 #s(literal -12 binary64) x))) (patch (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ (* -12 x) 3) (*.f64 #s(literal -12 binary64) x))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( -12 x) 3) (.f64 #s(literal -12 binary64) x))) (patch (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ (* -12 x) 3) (*.f64 #s(literal -12 binary64) x))) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation:binary64>) () ())) ())
#s(alt (* -12 x) (taylor -inf x) (#s(alt #s(approx (+ (* -12 x) 3) (.f64 #s(literal -12 binary64) x)) (patch #s(approx (+ ( -12 x) 3) (*.f64 #s(literal -12 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- 12 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (+ (* -12 x) 3) (.f64 #s(literal -12 binary64) x)) (patch #s(approx (+ ( -12 x) 3) (*.f64 #s(literal -12 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- 12 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (+ (* -12 x) 3) (.f64 #s(literal -12 binary64) x)) (patch #s(approx (+ ( -12 x) 3) (*.f64 #s(literal -12 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- 12 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (+ (* -12 x) 3) (.f64 #s(literal -12 binary64) x)) (patch #s(approx (+ ( -12 x) 3) (*.f64 #s(literal -12 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (* -12 x) (taylor -inf x) (#s(alt (.f64 #s(literal -12 binary64) x) (patch (.f64 #s(literal -12 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (* -12 x) (taylor -inf x) (#s(alt (.f64 #s(literal -12 binary64) x) (patch (.f64 #s(literal -12 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (* -12 x) (taylor -inf x) (#s(alt (.f64 #s(literal -12 binary64) x) (patch (.f64 #s(literal -12 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (* -12 x) (taylor -inf x) (#s(alt (.f64 #s(literal -12 binary64) x) (patch (.f64 #s(literal -12 binary64) x) #<representation:binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

-inf

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

2.0ms

inf

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

1.0ms

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

simplify276.0ms (4.6%)

Memory

-5.9MiB live, 269.6MiB allocated

Algorithm

1×	egg-herbie

Rules

7 170×	`lower-fma.f64`
7 170×	`lower-fma.f32`
2 702×	`lower-*.f64`
2 702×	`lower-*.f32`
1 600×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	1124
1	275	1124
2	655	1124
3	1466	1120
4	3385	1120
5	5959	1112
0	8279	971

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(+ 3 (* x (- (* 9 x) 12)))
1
(+ 1 (* 4 x))
(+ 1 (* x (+ 4 (* 13 x))))
(+ 1 (* x (+ 4 (* x (+ 13 (* 40 x))))))
1
(+ 1 (* -4 x))
(+ 1 (* x (- (* 3 x) 4)))
(+ 1 (* x (- (* 3 x) 4)))
-4
(- (* 3 x) 4)
(- (* 3 x) 4)
(- (* 3 x) 4)
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)))
(* -12 x)
(* x (- (* 9 x) 12))
(* x (- (* 9 x) 12))
(* x (- (* 9 x) 12))
-12
(- (* 9 x) 12)
(- (* 9 x) 12)
(- (* 9 x) 12)
(* 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)
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(+ 3 (* x (- (* 9 x) 12)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
3
(+ 3 (* -12 x))
(+ 3 (* -12 x))
(+ 3 (* -12 x))
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 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))))
(/ 1/3 (pow x 2))
(/ (+ 1/3 (* 4/9 (/ 1 x))) (pow x 2))
(/ (+ 1/3 (+ (/ 13/27 (pow x 2)) (* 4/9 (/ 1 x)))) (pow x 2))
(/ (+ 1/3 (+ (/ 13/27 (pow x 2)) (+ (* 4/9 (/ 1 x)) (* 40/81 (/ 1 (pow x 3)))))) (pow x 2))
(* 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 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))))
(* -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))
(* (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 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 (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))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -12 x)
(* x (- (* 3 (/ 1 x)) 12))
(* x (- (* 3 (/ 1 x)) 12))
(* x (- (* 3 (/ 1 x)) 12))
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(/ 1/3 (pow x 2))
(/ (+ 1/3 (* 4/9 (/ 1 x))) (pow x 2))
(/ (+ 1/3 (+ (/ 13/27 (pow x 2)) (* 4/9 (/ 1 x)))) (pow x 2))
(/ (+ 1/3 (* -1 (/ (- (* -1 (/ (+ 13/27 (* 40/81 (/ 1 x))) x)) 4/9) x))) (pow x 2))
(* 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 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))))
(* -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))
(* (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 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)
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -12 x)
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)

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))
1
#s(literal 1 binary64)
(+ 1 (* 4 x))
(fma.f64 #s(literal 4 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 4 (* 13 x))))
(fma.f64 (fma.f64 #s(literal 13 binary64) x #s(literal 4 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 4 (* x (+ 13 (* 40 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 40 binary64) x #s(literal 13 binary64)) x #s(literal 4 binary64)) x #s(literal 1 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))
-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))
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))
(* -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))
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
3
#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))
(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 (* -12 x))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
(+ 3 (* -12 x))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* -12 x)
(*.f64 #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))
(/ 1/3 (pow x 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
(/ (+ 1/3 (* 4/9 (/ 1 x))) (pow x 2))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 4/9 binary64) x) #s(literal -1/3 binary64)) x) x)
(/ (+ 1/3 (+ (/ 13/27 (pow x 2)) (* 4/9 (/ 1 x)))) (pow x 2))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 13/27 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (/.f64 #s(literal -4/9 binary64) x)) (.f64 x x))
(/ (+ 1/3 (+ (/ 13/27 (pow x 2)) (+ (* 4/9 (/ 1 x)) (* 40/81 (/ 1 (pow x 3)))))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal -4/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 40/81 binary64) x) #s(literal -13/27 binary64)) x)) x)) x) x)
(* 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 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))
(* -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))
(* (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 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))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 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))
(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 x)
(*.f64 #s(literal -12 binary64) x)
(* x (- (* 3 (/ 1 x)) 12))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 12))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 12))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* -12 x)
(*.f64 #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))
(/ 1/3 (pow x 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
(/ (+ 1/3 (* 4/9 (/ 1 x))) (pow x 2))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 4/9 binary64) x) #s(literal -1/3 binary64)) x) x)
(/ (+ 1/3 (+ (/ 13/27 (pow x 2)) (* 4/9 (/ 1 x)))) (pow x 2))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 13/27 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (/.f64 #s(literal -4/9 binary64) x)) (.f64 x x))
(/ (+ 1/3 (* -1 (/ (- (* -1 (/ (+ 13/27 (* 40/81 (/ 1 x))) x)) 4/9) x))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal -4/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 40/81 binary64) x) #s(literal -13/27 binary64)) x)) x)) x) x)
(* 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 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))
(* -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))
(* (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 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))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 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))
(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 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))
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* -12 x)
(*.f64 #s(literal -12 binary64) x)

rewrite497.0ms (8.2%)

Memory

39.5MiB live, 350.6MiB allocated

Rules

5 888×	`lower-fma.f32`
5 878×	`lower-fma.f64`
4 110×	`lower-/.f32`
4 106×	`lower-/.f64`
3 842×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	140
0	51	138
1	208	122
2	1505	122
0	8409	118

Stop Event

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

Counts

17 → 489

Calls

Call 1

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

Outputs
(.f64 (.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 (pow.f64 (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 3 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 3 binary64) (+.f64 (pow.f64 (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x)) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 2 binary64)) #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 (-.f64 (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (.f64 (.f64 #s(literal 9 binary64) x) x))))
(.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 3 binary64)) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 2 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 (neg.f64 (-.f64 (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal -3 binary64)) (.f64 #s(literal -12 binary64) x)))))
(.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 729 binary64) (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64) (.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (.f64 (.f64 #s(literal 9 binary64) x) x)))))))
(.f64 (-.f64 (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal -3 binary64)) (.f64 #s(literal -12 binary64) x)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 729 binary64) (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)) (.f64 (.f64 (*.f64 #s(literal 9 binary64) x) x) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))))))
(.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 729 binary64) (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64) (.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (.f64 (.f64 #s(literal 9 binary64) x) x)))) #s(literal -1 binary64)))
(.f64 #s(literal -3 binary64) (-.f64 #s(literal -1 binary64) (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) #s(literal -1 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -3 binary64) (fma.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x #s(literal 1 binary64))))
(*.f64 (fma.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x #s(literal 1 binary64)) #s(literal 3 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)))
(*.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x #s(literal 1 binary64)))
(pow.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal 3 binary64))) (.f64 #s(literal 144 binary64) (.f64 x x))) (-.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal 3 binary64)) (*.f64 #s(literal -12 binary64) x)))
(/.f64 (-.f64 (.f64 #s(literal 144 binary64) (.f64 x x)) (.f64 (+.f64 #s(literal 3 binary64) (.f64 (.f64 #s(literal 9 binary64) x) x)) (+.f64 #s(literal 3 binary64) (.f64 (.f64 #s(literal 9 binary64) x) x)))) (-.f64 (.f64 #s(literal -12 binary64) x) (+.f64 #s(literal 3 binary64) (.f64 (.f64 #s(literal 9 binary64) x) x))))
(/.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 2 binary64))) (-.f64 #s(literal 3 binary64) (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)) (-.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal -3 binary64)) (.f64 #s(literal -12 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 2 binary64)) (-.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal -3 binary64)) (.f64 #s(literal -12 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)) (-.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal -3 binary64)) (.f64 #s(literal -12 binary64) x))) (/.f64 (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)) (-.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal -3 binary64)) (.f64 #s(literal -12 binary64) x))) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 2 binary64)) (-.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal -3 binary64)) (.f64 #s(literal -12 binary64) x))) (/.f64 (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 2 binary64)) (-.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal -3 binary64)) (.f64 #s(literal -12 binary64) x))) (.f64 (/.f64 (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)) (-.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal -3 binary64)) (.f64 #s(literal -12 binary64) x))) (/.f64 (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 2 binary64)) (-.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal -3 binary64)) (*.f64 #s(literal -12 binary64) x)))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -12 binary64) x) #s(literal 3 binary64))) (fma.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 144 binary64) (.f64 x x)) (.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal 3 binary64)) (*.f64 #s(literal -12 binary64) x)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1728 binary64) (pow.f64 (+.f64 #s(literal 3 binary64) (.f64 (.f64 #s(literal 9 binary64) x) x)) #s(literal 3 binary64))) (fma.f64 #s(literal 144 binary64) (.f64 x x) (-.f64 (.f64 (+.f64 #s(literal 3 binary64) (.f64 (.f64 #s(literal 9 binary64) x) x)) (+.f64 #s(literal 3 binary64) (.f64 (.f64 #s(literal 9 binary64) x) x))) (.f64 (.f64 #s(literal -12 binary64) x) (+.f64 #s(literal 3 binary64) (.f64 (.f64 #s(literal 9 binary64) x) x))))))
(/.f64 (+.f64 #s(literal 27 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 3 binary64))) (+.f64 #s(literal 9 binary64) (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 2 binary64)) (.f64 #s(literal 3 binary64) (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (neg.f64 (fma.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x))))
(/.f64 (neg.f64 (.f64 #s(literal 3 binary64) (-.f64 (pow.f64 (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 #s(literal 3 binary64) (+.f64 (pow.f64 (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 2 binary64)) #s(literal 9 binary64))) (neg.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal -3 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) (neg.f64 (-.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (.f64 (*.f64 #s(literal 9 binary64) x) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 3 binary64)) #s(literal 27 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 2 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 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal -3 binary64)) (*.f64 #s(literal -12 binary64) x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 729 binary64) (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64) (.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) (.f64 (*.f64 #s(literal 9 binary64) x) x)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)) (-.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal -3 binary64)) (.f64 #s(literal -12 binary64) x))) (.f64 (-.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal -3 binary64)) (.f64 #s(literal -12 binary64) x)) (pow.f64 (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)) #s(literal 2 binary64)))) (.f64 (-.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal -3 binary64)) (.f64 #s(literal -12 binary64) x)) (-.f64 (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(literal -3 binary64)) (.f64 #s(literal -12 binary64) x))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x #s(literal -1 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x)))
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(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) #s(approx (+ ( -12 x) 3) (.f64 #s(literal -12 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 #s(approx (+ ( -12 x) 3) (.f64 #s(literal -12 binary64) x)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) #s(approx (+ ( -12 x) 3) (.f64 #s(literal -12 binary64) x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) #s(approx (+ (* -12 x) 3) (.f64 #s(literal -12 binary64) x)))) (/.f64 (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) #s(approx (+ (* -12 x) 3) (.f64 #s(literal -12 binary64) x)))) (fma.f64 (/.f64 (pow.f64 #s(approx (+ ( -12 x) 3) (.f64 #s(literal -12 binary64) x)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) #s(approx (+ ( -12 x) 3) (.f64 #s(literal -12 binary64) x)))) (/.f64 (pow.f64 #s(approx (+ ( -12 x) 3) (.f64 #s(literal -12 binary64) x)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) #s(approx (+ ( -12 x) 3) (.f64 #s(literal -12 binary64) x)))) (.f64 (/.f64 (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) #s(approx (+ ( -12 x) 3) (.f64 #s(literal -12 binary64) x)))) (/.f64 (pow.f64 #s(approx (+ ( -12 x) 3) (.f64 #s(literal -12 binary64) x)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) #s(approx (+ ( -12 x) 3) (*.f64 #s(literal -12 binary64) x))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (* -12 x) 3) (.f64 #s(literal -12 binary64) x)) #s(literal 2 binary64)) (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(approx (+ (* -12 x) 3) (.f64 #s(literal -12 binary64) x)) (.f64 (*.f64 #s(literal 9 binary64) x) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)) (pow.f64 #s(approx (+ ( -12 x) 3) (.f64 #s(literal -12 binary64) x)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) #s(approx (+ ( -12 x) 3) (*.f64 #s(literal -12 binary64) x))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 729 binary64) (pow.f64 #s(approx (+ (* -12 x) 3) (.f64 #s(literal -12 binary64) x)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (+ ( -12 x) 3) (.f64 #s(literal -12 binary64) x)) (-.f64 #s(approx (+ ( -12 x) 3) (.f64 #s(literal -12 binary64) x)) (.f64 (.f64 #s(literal 9 binary64) x) x)) (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) #s(approx (+ (* -12 x) 3) (.f64 #s(literal -12 binary64) x)))) (.f64 (-.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) #s(approx (+ (* -12 x) 3) (.f64 #s(literal -12 binary64) x))) (pow.f64 #s(approx (+ ( -12 x) 3) (.f64 #s(literal -12 binary64) x)) #s(literal 2 binary64)))) (.f64 (-.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) #s(approx (+ (* -12 x) 3) (.f64 #s(literal -12 binary64) x))) (-.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) #s(approx (+ ( -12 x) 3) (*.f64 #s(literal -12 binary64) x)))))
(/.f64 (-.f64 (pow.f64 #s(approx (+ (* -12 x) 3) (.f64 #s(literal -12 binary64) x)) #s(literal 2 binary64)) (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) (-.f64 #s(approx (+ (* -12 x) 3) (.f64 #s(literal -12 binary64) x)) (.f64 (*.f64 #s(literal 9 binary64) x) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)) (pow.f64 #s(approx (+ ( -12 x) 3) (.f64 #s(literal -12 binary64) x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) #s(approx (+ ( -12 x) 3) (*.f64 #s(literal -12 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 729 binary64) (pow.f64 #s(approx (+ (* -12 x) 3) (.f64 #s(literal -12 binary64) x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 #s(approx (+ ( -12 x) 3) (.f64 #s(literal -12 binary64) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)) (.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) #s(approx (+ ( -12 x) 3) (*.f64 #s(literal -12 binary64) x)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 729 binary64) (pow.f64 #s(approx (+ (* -12 x) 3) (.f64 #s(literal -12 binary64) x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (+ ( -12 x) 3) (.f64 #s(literal -12 binary64) x)) (-.f64 #s(approx (+ ( -12 x) 3) (.f64 #s(literal -12 binary64) x)) (.f64 (.f64 #s(literal 9 binary64) x) x)) (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)) (pow.f64 #s(approx (+ ( -12 x) 3) (.f64 #s(literal -12 binary64) x)) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) #s(approx (+ ( -12 x) 3) (*.f64 #s(literal -12 binary64) x))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 729 binary64) (pow.f64 #s(approx (+ (* -12 x) 3) (.f64 #s(literal -12 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 #s(approx (+ ( -12 x) 3) (.f64 #s(literal -12 binary64) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)) (.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) #s(approx (+ ( -12 x) 3) (*.f64 #s(literal -12 binary64) x))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 729 binary64) (pow.f64 #s(approx (+ (* -12 x) 3) (.f64 #s(literal -12 binary64) x)) #s(literal 3 binary64))) (fma.f64 #s(approx (+ ( -12 x) 3) (.f64 #s(literal -12 binary64) x)) (-.f64 #s(approx (+ ( -12 x) 3) (.f64 #s(literal -12 binary64) x)) (.f64 (.f64 #s(literal 9 binary64) x) x)) (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(approx (+ ( -12 x) 3) (*.f64 #s(literal -12 binary64) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (+ (* -12 x) 3) (.f64 #s(literal -12 binary64) x)) (.f64 (.f64 #s(literal 9 binary64) x) x)) (-.f64 (pow.f64 #s(approx (+ ( -12 x) 3) (.f64 #s(literal -12 binary64) x)) #s(literal 2 binary64)) (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 #s(approx (+ (* -12 x) 3) (.f64 #s(literal -12 binary64) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)) (.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) #s(approx (+ ( -12 x) 3) (.f64 #s(literal -12 binary64) x))))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 729 binary64) (pow.f64 #s(approx (+ ( -12 x) 3) (*.f64 #s(literal -12 binary64) x)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(approx (+ ( -12 x) 3) (*.f64 #s(literal -12 binary64) x)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 9 binary64) x) x #s(approx (+ ( -12 x) 3) (*.f64 #s(literal -12 binary64) x)))))
(fma.f64 (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)) (pow.f64 (-.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) #s(approx (+ ( -12 x) 3) (.f64 #s(literal -12 binary64) x))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 #s(approx (+ ( -12 x) 3) (.f64 #s(literal -12 binary64) x)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) #s(approx (+ ( -12 x) 3) (*.f64 #s(literal -12 binary64) x))))))
(fma.f64 (.f64 #s(literal 9 binary64) x) x #s(approx (+ ( -12 x) 3) (*.f64 #s(literal -12 binary64) x)))
(fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( -12 x) 3) (*.f64 #s(literal -12 binary64) x)))
(fma.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) #s(literal 3 binary64) #s(approx (+ (* -12 x) 3) (*.f64 #s(literal -12 binary64) x)))
(fma.f64 (.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 3 binary64)) #s(approx (+ (* -12 x) 3) (*.f64 #s(literal -12 binary64) x)))
(fma.f64 #s(literal 9 binary64) (.f64 x x) #s(approx (+ ( -12 x) 3) (*.f64 #s(literal -12 binary64) x)))
(fma.f64 x (.f64 #s(literal 9 binary64) x) #s(approx (+ ( -12 x) 3) (*.f64 #s(literal -12 binary64) x)))
(fma.f64 #s(literal 3 binary64) (.f64 (.f64 x #s(literal 3 binary64)) x) #s(approx (+ (* -12 x) 3) (*.f64 #s(literal -12 binary64) x)))
(-.f64 (/.f64 (pow.f64 #s(approx (+ (* -12 x) 3) (.f64 #s(literal -12 binary64) x)) #s(literal 2 binary64)) (-.f64 #s(approx (+ ( -12 x) 3) (.f64 #s(literal -12 binary64) x)) (.f64 (.f64 #s(literal 9 binary64) x) x))) (/.f64 (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)) (-.f64 #s(approx (+ (* -12 x) 3) (.f64 #s(literal -12 binary64) x)) (.f64 (*.f64 #s(literal 9 binary64) x) x))))
(-.f64 (/.f64 (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) #s(approx (+ ( -12 x) 3) (.f64 #s(literal -12 binary64) x)))) (/.f64 (pow.f64 #s(approx (+ ( -12 x) 3) (.f64 #s(literal -12 binary64) x)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) #s(approx (+ ( -12 x) 3) (*.f64 #s(literal -12 binary64) x)))))
(+.f64 (/.f64 (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) #s(approx (+ ( -12 x) 3) (.f64 #s(literal -12 binary64) x)))) (neg.f64 (/.f64 (pow.f64 #s(approx (+ ( -12 x) 3) (.f64 #s(literal -12 binary64) x)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) #s(approx (+ ( -12 x) 3) (*.f64 #s(literal -12 binary64) x))))))
(+.f64 (.f64 (.f64 #s(literal 9 binary64) x) x) #s(approx (+ (* -12 x) 3) (*.f64 #s(literal -12 binary64) x)))
(+.f64 #s(approx (+ (* -12 x) 3) (.f64 #s(literal -12 binary64) x)) (.f64 (*.f64 #s(literal 9 binary64) x) x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(approx (+ (* -12 x) 3) (*.f64 #s(literal -12 binary64) x))
(.f64 (.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))
(*.f64 #s(literal -12 binary64) x)
(.f64 #s(literal -4 binary64) (.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal -12 binary64))
(.f64 #s(literal 3 binary64) (.f64 #s(literal -4 binary64) x))

eval112.0ms (1.9%)

Memory: -37.2MiB live, 248.9MiB allocated
Compiler: Compiled 12 171 to 1 717 computations (85.9% saved)

prune28.0ms (0.5%)

Memory

4.5MiB live, 81.6MiB allocated

Pruning

14 alts after pruning (6 fresh and 8 done)

	Pruned	Kept	Total
New	688	5	693
Fresh	3	1	4
Picked	1	4	5
Done	0	4	4
Total	692	14	706

Accuracy

100.0%

Counts

706 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
✓	52.7%	(fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( -12 x) 3) (*.f64 #s(literal -12 binary64) x)))
	52.3%	(/.f64 #s(literal 3 binary64) #s(approx (/ 1 (+ (* (+ (* 3 x) -4) x) 1)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))
▶	52.4%	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 (.f64 x x) #s(literal 3 binary64))))
✓	50.3%	#s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
▶	52.7%	#s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))))
✓	52.7%	#s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))
▶	52.4%	#s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (.f64 (.f64 #s(literal 9 binary64) x) x))
▶	4.5%	#s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (.f64 #s(approx (+ ( 9 x) -12) #s(literal -12 binary64)) x))
✓	99.9%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)))
✓	52.3%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) x))
✓	52.4%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
▶	52.3%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64))))
✓	49.3%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Compiler

Compiled 142 to 118 computations (16.9% saved)

simplify238.0ms (3.9%)

Memory

-7.4MiB live, 80.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
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 x #s(literal 3 binary64))
cost-diff	0	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64))))
cost-diff	320	(.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64)))
cost-diff	0	(*.f64 #s(literal 9 binary64) x)
cost-diff	0	(.f64 (.f64 #s(literal 9 binary64) x) x)
cost-diff	0	#s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (.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 (+ (* (* x x) 9) (+ (* -12 x) 3)) (.f64 #s(approx (+ ( 9 x) -12) #s(literal -12 binary64)) x))
cost-diff	0	(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
cost-diff	0	#s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))))
cost-diff	1088	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))))

Rules

1 640×	`lower-fma.f32`
1 638×	`lower-fma.f64`
724×	`lower-*.f32`
708×	`lower-*.f64`
288×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	184
0	47	178
1	90	158
2	134	158
3	223	158
4	356	158
5	471	158
6	705	158
7	1089	158
8	1519	158
9	1897	158
10	2132	158
11	2167	158
12	2175	158
13	2180	158
14	2181	158
0	2181	150

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize67.0ms (1.1%)

Memory

31.6MiB live, 104.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.109375	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 (.f64 x x) #s(literal 3 binary64))))
accuracy	0.14453125	(.f64 (.f64 x x) #s(literal 3 binary64))
accuracy	30.387540766855665	#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (.f64 (.f64 x x) #s(literal 3 binary64)))
accuracy	0	(*.f64 x #s(literal 3 binary64))
accuracy	0.260761279305326	(.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64)))
accuracy	30.395719117402027	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64))))
accuracy	0	(*.f64 #s(literal 9 binary64) x)
accuracy	0.15625	(.f64 (.f64 #s(literal 9 binary64) x) x)
accuracy	30.395719117402027	#s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (.f64 (.f64 #s(literal 9 binary64) x) x))
accuracy	0.19921875	(.f64 #s(approx (+ ( 9 x) -12) #s(literal -12 binary64)) x)
accuracy	30.194219906009728	#s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (.f64 #s(approx (+ ( 9 x) -12) #s(literal -12 binary64)) x))
accuracy	32.62386884024138	#s(approx (+ (* 9 x) -12) #s(literal -12 binary64))
accuracy	0	(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
accuracy	0.2109375	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))))
accuracy	0.32447925566333546	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
accuracy	30.194219906009728	#s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))))

Samples

38.0ms	212×	0	valid
7.0ms	25×	1	valid
6.0ms	19×	2	valid

Compiler

Compiled 143 to 27 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 20.0ms (54.7% of total)

ival-add: 8.0ms (21.9% of total)

ival-div: 4.0ms (10.9% of total)

adjust: 2.0ms (5.5% of total)

ival-sub: 1.0ms (2.7% of total)

exact: 1.0ms (2.7% of total)

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

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

series24.0ms (0.4%)

Memory

-22.7MiB live, 19.1MiB allocated

Counts

17 → 204

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

14.0ms

-inf

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

3.0ms

inf

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

1.0ms

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

simplify247.0ms (4.1%)

Memory

-2.6MiB live, 177.0MiB allocated

Algorithm

1×	egg-herbie

Rules

7 572×	`lower-fma.f64`
7 572×	`lower-fma.f32`
3 036×	`lower-*.f64`
3 036×	`lower-*.f32`
1 924×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	1164
1	268	1164
2	600	1164
3	1351	1160
4	3287	1152
5	6236	1152
0	8087	1020

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

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

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

rewrite213.0ms (3.5%)

Memory

7.1MiB live, 239.6MiB allocated

Rules

8 384×	`lower-fma.f32`
8 382×	`lower-fma.f64`
4 322×	`lower-*.f32`
4 306×	`lower-*.f64`
3 724×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	172
0	47	168
1	169	149
2	1126	149
0	8330	140

Stop Event

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

Counts

17 → 227

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal -1 binary64)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal -1 binary64)) x) #s(literal -1/2 binary64)))
(.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -144 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) (-.f64 #s(literal 144 binary64) (*.f64 x #s(literal -108 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal -1/2 binary64))))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64) (.f64 #s(literal -144 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 9 binary64) (*.f64 #s(literal 12 binary64) x))))
(.f64 (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -12 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64) (fma.f64 #s(literal 144 binary64) (.f64 x x) (.f64 (.f64 (.f64 #s(literal -9 binary64) x) x) (*.f64 #s(literal -12 binary64) x))))))
(.f64 (.f64 x (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -144 binary64))) (pow.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 x (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728 binary64))) (pow.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) (-.f64 #s(literal 144 binary64) (.f64 x #s(literal -108 binary64)))) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -9 binary64) x #s(literal 12 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 12 binary64)) x))
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)
(.f64 #s(literal 1 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)))
(pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal -1 binary64)) x) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 #s(literal 144 binary64) (.f64 x x)) (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 4 binary64))) (-.f64 (.f64 #s(literal -12 binary64) x) (.f64 (.f64 x x) #s(literal 9 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1728 binary64) (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 6 binary64))) (fma.f64 #s(literal 144 binary64) (.f64 x x) (-.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)) (.f64 (.f64 #s(literal -12 binary64) x) (.f64 (*.f64 x x) #s(literal 9 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64) (.f64 #s(literal -144 binary64) (.f64 x x)))) (neg.f64 (fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 #s(literal 12 binary64) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -12 binary64) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64) (fma.f64 #s(literal 144 binary64) (.f64 x x) (.f64 (.f64 (.f64 #s(literal -9 binary64) x) x) (.f64 #s(literal -12 binary64) x))))))
(/.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) (pow.f64 x #s(literal 3 binary64)) #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 -9 binary64) x #s(literal 12 binary64)) x) #s(literal -1 binary64))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64) (.f64 #s(literal -144 binary64) (.f64 x x))) (fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 #s(literal 12 binary64) x)))
(/.f64 (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -12 binary64) x) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64) (fma.f64 #s(literal 144 binary64) (.f64 x x) (.f64 (.f64 (.f64 #s(literal -9 binary64) x) x) (.f64 #s(literal -12 binary64) x)))))
(/.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) (pow.f64 x #s(literal 3 binary64)) #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 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x) #s(literal 1 binary64))
(/.f64 (neg.f64 x) (pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 12 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 12 binary64)) #s(literal -1 binary64)) x))
(/.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 #s(literal 12 binary64) x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64) (.f64 #s(literal -144 binary64) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64) (fma.f64 #s(literal 144 binary64) (.f64 x x) (.f64 (.f64 (.f64 #s(literal -9 binary64) x) x) (.f64 #s(literal -12 binary64) x)))) (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -12 binary64) x) #s(literal 3 binary64)))))
(/.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) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal -1 binary64)) x))
(/.f64 x (pow.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal -1 binary64)) x)))
(neg.f64 (/.f64 (*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 12 binary64)) x) #s(literal 1 binary64)))
(neg.f64 (*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 12 binary64)) x))
(fma.f64 (exp.f64 (log.f64 (.f64 #s(literal 3 binary64) x))) (exp.f64 (log.f64 (.f64 #s(literal 3 binary64) x))) (*.f64 #s(literal -12 binary64) x))
(fma.f64 (neg.f64 x) (.f64 #s(literal -9 binary64) x) (.f64 (neg.f64 x) #s(literal 12 binary64)))
(fma.f64 (neg.f64 x) #s(literal 12 binary64) (.f64 (neg.f64 x) (.f64 #s(literal -9 binary64) x)))
(fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 #s(literal -12 binary64) x))
(fma.f64 (.f64 (.f64 #s(literal 3 binary64) x) x) #s(literal 3 binary64) (*.f64 #s(literal -12 binary64) x))
(fma.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) x) (*.f64 #s(literal -12 binary64) x))
(fma.f64 (.f64 #s(literal 9 binary64) x) x (.f64 #s(literal -12 binary64) x))
(fma.f64 #s(literal 3 binary64) (.f64 (.f64 #s(literal 3 binary64) x) x) (*.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 #s(literal 1 binary64) (.f64 #s(literal -12 binary64) x) (.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 9 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 #s(literal 1 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 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 #s(literal 12 binary64) x))) (/.f64 (.f64 #s(literal 144 binary64) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 9 binary64) (*.f64 #s(literal 12 binary64) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 12 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 12 binary64)) x))
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 12 binary64)) x))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal -1 binary64)) x)) #s(literal -1 binary64)))
(+.f64 (.f64 (neg.f64 x) (.f64 #s(literal -9 binary64) x)) (*.f64 (neg.f64 x) #s(literal 12 binary64)))
(+.f64 (.f64 (neg.f64 x) #s(literal 12 binary64)) (.f64 (neg.f64 x) (*.f64 #s(literal -9 binary64) x)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal -12 binary64) x)) (.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 9 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 #s(literal 1 binary64) (*.f64 #s(literal -12 binary64) x)))
(+.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))
#s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))
(.f64 (pow.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -144 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -144 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) (-.f64 #s(literal 144 binary64) (*.f64 x #s(literal -108 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 81 binary64) (.f64 x x) (-.f64 #s(literal 144 binary64) (*.f64 x #s(literal -108 binary64)))))
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(.f64 x (.f64 #s(literal 9 binary64) x))
(pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) x))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 9 binary64) x) (pow.f64 x #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3 binary64))
(.f64 #s(literal 3 binary64) (.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 9 binary64) x)
(*.f64 x #s(literal 9 binary64))
(/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal -1 binary64)))
(.f64 (exp.f64 (log.f64 (.f64 #s(literal 3 binary64) x))) (exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) x))))
(.f64 (.f64 x x) #s(literal 9 binary64))
(.f64 (.f64 (*.f64 #s(literal 3 binary64) x) x) #s(literal 3 binary64))
(.f64 (.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) x))
(.f64 (.f64 #s(literal 9 binary64) x) x)
(.f64 #s(literal 3 binary64) (.f64 (*.f64 #s(literal 3 binary64) x) x))
(.f64 #s(literal 9 binary64) (.f64 x x))
(.f64 x (.f64 #s(literal 9 binary64) x))
(pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) x))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 9 binary64) x) (pow.f64 x #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1/2 binary64)))
(*.f64 #s(literal 3 binary64) x)
(*.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)))
(.f64 #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 (.f64 #s(literal 3 binary64) x) x)) #s(literal 3 binary64))
(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 (.f64 #s(literal 3 binary64) x) x)))
#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (.f64 (.f64 #s(literal 3 binary64) x) x))
(.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 (*.f64 #s(literal 3 binary64) x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 x (pow.f64 x #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval53.0ms (0.9%)

Memory: -7.1MiB live, 109.5MiB allocated
Compiler: Compiled 5 107 to 932 computations (81.8% saved)

prune29.0ms (0.5%)

Memory

-1.7MiB live, 71.3MiB allocated

Pruning

14 alts after pruning (2 fresh and 12 done)

	Pruned	Kept	Total
New	448	1	449
Fresh	0	1	1
Picked	1	4	5
Done	0	8	8
Total	449	14	463

Accuracy

100.0%

Counts

463 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
✓	52.7%	(fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( -12 x) 3) (*.f64 #s(literal -12 binary64) x)))
	52.3%	(/.f64 #s(literal 3 binary64) #s(approx (/ 1 (+ (* (+ (* 3 x) -4) x) 1)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))
✓	52.4%	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 (.f64 x x) #s(literal 3 binary64))))
✓	50.3%	#s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
	52.4%	#s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (/.f64 x #s(approx (/ 1 (+ (* 9 x) -12)) (/.f64 #s(literal 1/9 binary64) x))))
✓	52.7%	#s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))
✓	52.4%	#s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (.f64 (.f64 #s(literal 9 binary64) x) x))
✓	4.5%	#s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (.f64 #s(approx (+ ( 9 x) -12) #s(literal -12 binary64)) x))
✓	99.9%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)))
✓	52.3%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) x))
✓	52.4%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
✓	52.3%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64))))
✓	49.3%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Compiler

Compiled 290 to 155 computations (46.6% saved)

regimes33.0ms (0.5%)

Memory

25.6MiB live, 71.9MiB allocated

Counts

24 → 1

Calls

Call 1

Inputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))
#s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (.f64 #s(approx (+ ( 9 x) -12) #s(literal -12 binary64)) x))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
#s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 9 binary64) x) x))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
#s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (.f64 (.f64 #s(literal 9 binary64) x) x))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))
#s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) x)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64))))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x) #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))))
(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) x)))
(fma.f64 (.f64 x x) #s(literal 9 binary64) #s(approx (+ ( -12 x) 3) (*.f64 #s(literal -12 binary64) x)))
(fma.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #s(literal 3 binary64))
(fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
#s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (/.f64 x #s(approx (/ 1 (+ (* 9 x) -12)) (/.f64 #s(literal 1/9 binary64) x))))
(.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 #s(literal 3 binary64) #s(approx (/ 1 (+ (* (+ (* 3 x) -4) x) 1)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))
#s(approx (+ (* (* x x) 9) (+ (* -12 x) 3)) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))))
(/.f64 #s(literal 3 binary64) (/.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 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 16 binary64))) x) (/.f64 #s(literal 3 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64))) #s(literal 3 binary64))

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

Calls

4 calls:

11.0ms	(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
7.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
7.0ms	x
6.0ms	(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))

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 34 to 27 computations (20.6% saved)

regimes24.0ms (0.4%)

Memory

-24.8MiB live, 50.6MiB allocated

Counts

17 → 1

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
7.0ms	x
5.0ms	(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
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)))

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 34 to 27 computations (20.6% saved)

regimes15.0ms (0.2%)

Memory

2.5MiB live, 40.6MiB allocated

Counts

9 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

5.0ms	x
3.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
3.0ms	(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
3.0ms	(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))

Results

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

Compiler

Compiled 34 to 27 computations (20.6% saved)

regimes9.0ms (0.1%)

Memory

21.2MiB live, 21.2MiB allocated

Counts

7 → 2

Calls

Call 1

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

Calls

3 calls:

3.0ms

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

2.0ms

(*.f64 #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
98.2%	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)))`
98.2%	2	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
98.2%	2	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))`

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes38.0ms (0.6%)

Memory

-27.9MiB live, 23.5MiB allocated

Counts

5 → 2

Calls

Call 1

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

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:

33.0ms

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

Results

Accuracy	Segments	Branch
98.2%	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)))`
98.2%	2	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
98.2%	2	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))`

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes9.0ms (0.1%)

Memory

19.4MiB live, 19.4MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
2.0ms	x
2.0ms	(.f64 #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
50.3%	1	`x`
50.3%	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)))`
50.3%	1	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
50.3%	1	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))`

Compiler

Compiled 34 to 27 computations (20.6% saved)

regimes8.0ms (0.1%)

Memory

-20.4MiB live, 17.5MiB allocated

Accuracy

Total -29.5b remaining (-90.9%)

Threshold costs -29.5b (-90.9%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
2.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
2.0ms	x
1.0ms	(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
49.3%	1	`x`
49.3%	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)))`
49.3%	1	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
49.3%	1	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))`

Compiler

Compiled 34 to 27 computations (20.6% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.656403061224457e-5	5.401885320945745

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.401885320945745	41879.390519486304

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.401885320945745	41879.390519486304

Compiler

Compiled 16 to 15 computations (6.3% saved)

simplify30.0ms (0.5%)

Memory

-6.7MiB live, 68.2MiB allocated

Algorithm

1×	egg-herbie

Rules

20×	`-commutative-binary64-.f64`
8×	`+-commutative-binary64-+.f64`
8×	`sub-neg-binary64-neg.f64-+.f64--.f64`
6×	`neg-sub0-binary64--.f64-neg.f64`
6×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	211
1	53	211
2	64	211
3	70	211
4	74	211
5	75	211

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
#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 7378697629483821/73786976294838206464 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 10 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 x x) #s(literal 9 binary64))))
(if (<=.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 10 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
(fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
#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 7378697629483821/73786976294838206464 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 #s(literal 3 binary64) x) x) (.f64 #s(literal 4 binary64) x)) #s(literal 7378697629483821/73786976294838206464 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 10 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 x x) #s(literal 9 binary64))))
(if (<=.f64 (-.f64 (.f64 (.f64 #s(literal 3 binary64) x) x) (.f64 #s(literal 4 binary64) x)) #s(literal 10 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 #s(literal 9 binary64) (.f64 x x))))
(if (<=.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 10 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 #s(literal 3 binary64) x) x) (.f64 #s(literal 4 binary64) x)) #s(literal 10 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))

soundness1.0s (16.9%)

Memory

2.1MiB live, 526.4MiB allocated

Rules

9 798×	`lower-fma.f32`
9 788×	`lower-fma.f64`
8 226×	`lower-fma.f64`
8 226×	`lower-fma.f32`
6 316×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	41
0	16	41
1	61	35
2	451	35
3	7371	35
0	8608	30
0	26	135
0	39	137
1	163	109
2	1244	109
0	8478	107
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×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 146 to 78 computations (46.6% saved)

preprocess54.0ms (0.9%)

Memory: 35.0MiB live, 111.0MiB allocated
Compiler: Compiled 236 to 100 computations (57.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample941.0ms (15.6%)

explain262.0ms (4.3%)

preprocess104.0ms (1.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify55.0ms (0.9%)

localize37.0ms (0.6%)

series6.0ms (0.1%)

simplify148.0ms (2.5%)

rewrite283.0ms (4.7%)

eval172.0ms (2.9%)

prune14.0ms (0.2%)

simplify53.0ms (0.9%)

localize112.0ms (1.9%)

series9.0ms (0.2%)

simplify124.0ms (2.1%)

rewrite300.0ms (5%)

eval118.0ms (2%)

prune44.0ms (0.7%)

simplify84.0ms (1.4%)

localize104.0ms (1.7%)

series39.0ms (0.6%)

simplify276.0ms (4.6%)

rewrite497.0ms (8.2%)

eval112.0ms (1.9%)

prune28.0ms (0.5%)

simplify238.0ms (3.9%)

localize67.0ms (1.1%)

series24.0ms (0.4%)

simplify247.0ms (4.1%)

rewrite213.0ms (3.5%)

eval53.0ms (0.9%)

prune29.0ms (0.5%)

regimes33.0ms (0.5%)

regimes24.0ms (0.4%)

regimes15.0ms (0.2%)

regimes9.0ms (0.1%)

regimes38.0ms (0.6%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify30.0ms (0.5%)

soundness1.0s (16.9%)

preprocess54.0ms (0.9%)

end0.0ms (0%)

Profiling