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

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 12 computations (20% saved)

sample966.0ms (16.6%)

Memory

-6.7MiB live, 1 020.7MiB allocated

Samples

624.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 380.0ms

ival-mult: 271.0ms (71.4% of total)

ival-sub: 50.0ms (13.2% of total)

ival-add: 38.0ms (10% of total)

exact: 11.0ms (2.9% of total)

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

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

Bogosity

explain326.0ms (5.6%)

Memory

3.2MiB live, 117.2MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

252.0ms

512×

valid

Compiler

Compiled 161 to 44 computations (72.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 193.0ms

ival-mult: 187.0ms (96.8% of total)

ival-sub: 3.0ms (1.6% of total)

ival-add: 2.0ms (1% of total)

exact: 1.0ms (0.5% of total)

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

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

preprocess347.0ms (6%)

Memory

-3.4MiB live, 87.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	30
1	50	24
2	158	22
3	522	18
4	1161	18
5	1496	18
6	1586	18
7	1595	18
8	1595	18
9	1599	18
0	10	13
0	16	13
1	37	11
2	75	11
3	167	9
4	282	9
5	386	9
6	595	9
7	1012	9
8	1390	9
9	1490	9
10	1530	9
11	1536	9
12	1536	9
0	1536	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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(.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)

simplify145.0ms (2.5%)

Memory

5.8MiB live, 40.3MiB 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)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	48
0	16	48
1	37	42
2	75	42
3	167	40
4	282	40
5	386	40
6	595	40
7	1012	40
8	1390	40
9	1490	40
10	1530	40
11	1536	40
12	1536	40
0	1536	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)

localize39.0ms (0.7%)

Memory

-6.1MiB live, 80.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x #s(literal 4 binary64))
accuracy	0	(*.f64 x #s(literal 3 binary64))
accuracy	0.08203125	(.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	0.10546875	(.f64 (.f64 x #s(literal 3 binary64)) x)

Samples

32.0ms

256×

valid

Compiler

Compiled 98 to 22 computations (77.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 18.0ms (84.6% of total)

ival-sub: 1.0ms (4.7% of total)

ival-add: 1.0ms (4.7% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.2%)

Memory

-15.5MiB live, 21.4MiB allocated

Counts

6 → 72

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

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

inf

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

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) (* x 4))

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) (* x 4))

simplify151.0ms (2.6%)

Memory

28.6MiB live, 147.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	380
1	139	380
2	341	380
3	776	380
4	1989	376
5	4400	376
6	6068	376
7	7923	376
0	8062	337

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

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

rewrite241.0ms (4.1%)

Memory

16.3MiB live, 286.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	44
0	16	44
1	61	38
2	459	38
3	7413	38
0	8650	33

Stop Event

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

Counts

6 → 348

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

Outputs
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eval119.0ms (2%)

Memory: -46.8MiB live, 165.2MiB allocated
Compiler: Compiled 10 749 to 1 191 computations (88.9% saved)

prune11.0ms (0.2%)

Memory

33.2MiB live, 33.2MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	412	8	420
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	413	8	421

Accuracy

100.0%

Counts

421 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.0%	(fma.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 16 binary64))) (/.f64 #s(literal 3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)) x)) #s(literal 3 binary64))
	49.6%	(.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)))
▶	49.3%	(.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)))
	54.0%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
	49.7%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))
▶	49.3%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
▶	53.2%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Compiler

Compiled 132 to 104 computations (21.2% saved)

simplify171.0ms (2.9%)

Memory

-8.4MiB live, 185.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 x x) #s(literal 9 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 16 binary64)))
cost-diff	128	(-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 16 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal 3 binary64))
cost-diff	0	#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (.f64 (.f64 x x) #s(literal 3 binary64)))
cost-diff	0	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 (.f64 x x) #s(literal 3 binary64))))
cost-diff	0	(*.f64 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 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)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	197
0	45	197
1	92	187
2	191	175
3	524	172
4	1319	172
5	2802	170
6	5867	170
7	7508	170
0	8141	163

Stop Event

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

Calls

Call 1

Inputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
#s(literal 9 binary64)
x
#s(literal -12 binary64)
#s(literal 3 binary64)
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
(.f64 (.f64 x x) #s(literal 9 binary64))
(*.f64 x x)
x
#s(literal 9 binary64)
(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 (.f64 x x) #s(literal 3 binary64))))
#s(literal 3 binary64)
#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (.f64 (.f64 x x) #s(literal 3 binary64)))
(.f64 (.f64 x x) #s(literal 3 binary64))
(*.f64 x x)
x
(fma.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 16 binary64))) (/.f64 #s(literal 3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)) x)) #s(literal 3 binary64))
(.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 16 binary64)))
(*.f64 x x)
x
(-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 16 binary64))
(.f64 (.f64 x x) #s(literal 9 binary64))
#s(literal 9 binary64)
#s(literal 16 binary64)
(/.f64 #s(literal 3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)) x))
#s(literal 3 binary64)
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)) x)
(fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64))
#s(literal 4 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)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (fma.f64 x #s(literal 9 binary64) #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 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) x #s(literal 3 binary64))
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
#s(literal 9 binary64)
x
#s(literal -12 binary64)
#s(literal 3 binary64)
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
(.f64 (.f64 x x) #s(literal 9 binary64))
(*.f64 x x)
x
#s(literal 9 binary64)
(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 (.f64 x x) #s(literal 3 binary64))))
(.f64 #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 (.f64 #s(literal 3 binary64) 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)))
#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 x x)
x
(fma.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 16 binary64))) (/.f64 #s(literal 3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)) x)) #s(literal 3 binary64))
(+.f64 (/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -48 binary64) x)) (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64))) #s(literal 3 binary64))
(.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 16 binary64)))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -16 binary64)) x) x)
(*.f64 x x)
x
(-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 16 binary64))
(fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -16 binary64))
(.f64 (.f64 x x) #s(literal 9 binary64))
#s(literal 9 binary64)
#s(literal 16 binary64)
(/.f64 #s(literal 3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)) x))
#s(literal 3 binary64)
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)) x)
(fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64))
#s(literal 4 binary64)

localize92.0ms (1.6%)

Memory

-1.2MiB live, 157.0MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.06604254138909577	(.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 16 binary64)))
accuracy	0.11947250976844201	(.f64 (.f64 x x) #s(literal 9 binary64))
accuracy	0.3799247240310809	(/.f64 #s(literal 3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)) x))
accuracy	19.617533654069653	(fma.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 16 binary64))) (/.f64 #s(literal 3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)) x)) #s(literal 3 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.08203125	(.f64 #s(literal 3 binary64) #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 (.f64 x x) #s(literal 3 binary64))))
accuracy	0.1015625	(.f64 (.f64 x x) #s(literal 3 binary64))
accuracy	32.41156327717821	#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (.f64 (.f64 x x) #s(literal 3 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0.11947250976844201	(.f64 (.f64 x x) #s(literal 9 binary64))
accuracy	32.411757246347086	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
accuracy	29.93733216437027	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))
accuracy	0	(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
accuracy	0	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)))
accuracy	0.0546875	(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))

Samples

45.0ms	230×	0	valid
5.0ms	15×	1	valid
5.0ms	11×	2	valid

Compiler

Compiled 315 to 52 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 23.0ms (57.7% of total)

ival-add: 9.0ms (22.6% of total)

ival-sub: 3.0ms (7.5% of total)

adjust: 2.0ms (5% of total)

ival-div: 2.0ms (5% of total)

exact: 1.0ms (2.5% of total)

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

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

series52.0ms (0.9%)

Memory

-10.0MiB live, 27.6MiB allocated

Counts

14 → 168

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (* (+ (* 9 x) -12) x) 3) (+ (* 9 x) -12) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* (* x x) 9) (* x x) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (- (* (* x 3) x) (* x 4)) 1) (* (* x x) 3) (- (* (* x x) 9) 16) (* (* x x) (- (* (* x x) 9) 16)) (+ (* (* (* x x) (- (* (* x x) 9) 16)) (/ 3 (* (+ (* 3 x) 4) x))) 3) (/ 3 (* (+ (* 3 x) 4) x)))
2.0ms	x	@	inf	((* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (* (+ (* 9 x) -12) x) 3) (+ (* 9 x) -12) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* (* x x) 9) (* x x) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (- (* (* x 3) x) (* x 4)) 1) (* (* x x) 3) (- (* (* x x) 9) 16) (* (* x x) (- (* (* x x) 9) 16)) (+ (* (* (* x x) (- (* (* x x) 9) 16)) (/ 3 (* (+ (* 3 x) 4) x))) 3) (/ 3 (* (+ (* 3 x) 4) x)))
2.0ms	x	@	0	((* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (* (+ (* 9 x) -12) x) 3) (+ (* 9 x) -12) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* (* x x) 9) (* x x) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (- (* (* x 3) x) (* x 4)) 1) (* (* x x) 3) (- (* (* x x) 9) 16) (* (* x x) (- (* (* x x) 9) 16)) (+ (* (* (* x x) (- (* (* x x) 9) 16)) (/ 3 (* (+ (* 3 x) 4) x))) 3) (/ 3 (* (+ (* 3 x) 4) x)))

Time

Variable

Point

Expression

3.0ms

-inf

((* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (* (+ (* 9 x) -12) x) 3) (+ (* 9 x) -12) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* (* x x) 9) (* x x) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (- (* (* x 3) x) (* x 4)) 1) (* (* x x) 3) (- (* (* x x) 9) 16) (* (* x x) (- (* (* x x) 9) 16)) (+ (* (* (* x x) (- (* (* x x) 9) 16)) (/ 3 (* (+ (* 3 x) 4) x))) 3) (/ 3 (* (+ (* 3 x) 4) x)))

2.0ms

inf

((* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (* (+ (* 9 x) -12) x) 3) (+ (* 9 x) -12) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* (* x x) 9) (* x x) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (- (* (* x 3) x) (* x 4)) 1) (* (* x x) 3) (- (* (* x x) 9) 16) (* (* x x) (- (* (* x x) 9) 16)) (+ (* (* (* x x) (- (* (* x x) 9) 16)) (/ 3 (* (+ (* 3 x) 4) x))) 3) (/ 3 (* (+ (* 3 x) 4) x)))

2.0ms

((* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (* (+ (* 9 x) -12) x) 3) (+ (* 9 x) -12) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* (* x x) 9) (* x x) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (- (* (* x 3) x) (* x 4)) 1) (* (* x x) 3) (- (* (* x x) 9) 16) (* (* x x) (- (* (* x x) 9) 16)) (+ (* (* (* x x) (- (* (* x x) 9) 16)) (/ 3 (* (+ (* 3 x) 4) x))) 3) (/ 3 (* (+ (* 3 x) 4) x)))

simplify153.0ms (2.6%)

Memory

22.4MiB live, 204.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	118	1148
1	314	1148
2	773	1140
3	1776	1108
4	4684	1108
5	7834	1108
0	8205	970

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

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

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

rewrite270.0ms (4.6%)

Memory

-0.4MiB live, 207.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	162
0	45	162
1	190	152
2	1393	146
0	8258	132

Stop Event

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

Counts

14 → 306

Calls

Call 1

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

Outputs
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eval74.0ms (1.3%)

Memory: -10.8MiB live, 143.1MiB allocated
Compiler: Compiled 11 366 to 1 202 computations (89.4% saved)

prune21.0ms (0.4%)

Memory

29.4MiB live, 67.4MiB allocated

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	546	5	551
Fresh	3	0	3
Picked	2	3	5
Done	0	0	0
Total	551	8	559

Accuracy

100.0%

Counts

559 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.3%	(.f64 #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 (.f64 #s(literal 3 binary64) x) x)) #s(literal 3 binary64))
▶	54.0%	#s(approx (+ (* (* (* x x) (- (* (* x x) 9) 16)) (/ 3 (* (+ (* 3 x) 4) x))) 3) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
▶	49.7%	#s(approx (+ (* (* (* x x) (- (* (* x x) 9) 16)) (/ 3 (* (+ (* 3 x) 4) 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)))
▶	99.9%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (/.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -144 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) x #s(literal 3 binary64)))
✓	49.3%	#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)) (.f64 (.f64 x #s(literal 9 binary64)) x))
✓	53.2%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Compiler

Compiled 98 to 83 computations (15.3% saved)

simplify150.0ms (2.6%)

Memory

-42.1MiB live, 140.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 #s(literal 3 binary64) x)
cost-diff	0	(.f64 (.f64 #s(literal 3 binary64) x) x)
cost-diff	0	#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (.f64 (.f64 #s(literal 3 binary64) x) x))
cost-diff	0	(.f64 #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 (.f64 #s(literal 3 binary64) x) 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) (- (* (* x x) 9) 16)) (/ 3 (* (+ (* 3 x) 4) x))) 3) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))
cost-diff	0	(*.f64 x #s(literal 9 binary64))
cost-diff	0	(.f64 (.f64 x #s(literal 9 binary64)) x)
cost-diff	0	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x #s(literal 9 binary64)) x))
cost-diff	0	(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
cost-diff	0	#s(approx (+ (* (* (* x x) (- (* (* x x) 9) 16)) (/ 3 (* (+ (* 3 x) 4) x))) 3) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
cost-diff	0	(fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -144 binary64))
cost-diff	0	(/.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -144 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))
cost-diff	0	(fma.f64 (/.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -144 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) x #s(literal 3 binary64))
cost-diff	0	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (/.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -144 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) x #s(literal 3 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	225
0	61	225
1	118	217
2	218	211
3	547	203
4	1344	203
5	2819	199
6	5915	199
7	7582	199
0	8017	189

Stop Event

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

Calls

Call 1

Inputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (/.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -144 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) x #s(literal 3 binary64)))
(fma.f64 (/.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -144 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) x #s(literal 3 binary64))
(/.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -144 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))
(fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -144 binary64))
#s(literal 81 binary64)
(*.f64 x x)
x
#s(literal -144 binary64)
(fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))
#s(literal 9 binary64)
#s(literal 12 binary64)
#s(literal 3 binary64)
#s(approx (+ (* (* (* x x) (- (* (* x x) 9) 16)) (/ 3 (* (+ (* 3 x) 4) 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 (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x #s(literal 9 binary64)) x))
(.f64 (.f64 x #s(literal 9 binary64)) x)
(*.f64 x #s(literal 9 binary64))
x
#s(literal 9 binary64)
#s(approx (+ (* (* (* x x) (- (* (* x x) 9) 16)) (/ 3 (* (+ (* 3 x) 4) 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)
(.f64 #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 (.f64 #s(literal 3 binary64) x) x)) #s(literal 3 binary64))
#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (.f64 (.f64 #s(literal 3 binary64) x) x))
(.f64 (.f64 #s(literal 3 binary64) x) x)
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x

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

localize136.0ms (2.3%)

Memory

37.2MiB live, 188.7MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 #s(literal 3 binary64) x)
accuracy	0.08203125	(.f64 #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 (.f64 #s(literal 3 binary64) x) x)) #s(literal 3 binary64))
accuracy	0.10546875	(.f64 (.f64 #s(literal 3 binary64) x) x)
accuracy	32.41156327717821	#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (.f64 (.f64 #s(literal 3 binary64) x) x))
accuracy	0	(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
accuracy	0.1484375	(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)
accuracy	32.16733302816911	#s(approx (+ (* (* (* x x) (- (* (* x x) 9) 16)) (/ 3 (* (+ (* 3 x) 4) x))) 3) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))
accuracy	0	(*.f64 x #s(literal 9 binary64))
accuracy	0.1484375	(.f64 (.f64 x #s(literal 9 binary64)) x)
accuracy	32.411757246347086	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x #s(literal 9 binary64)) x))
accuracy	0	(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
accuracy	29.42452478487129	#s(approx (+ (* (* (* x x) (- (* (* x x) 9) 16)) (/ 3 (* (+ (* 3 x) 4) x))) 3) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
accuracy	0	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (/.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -144 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) x #s(literal 3 binary64)))
accuracy	0.04296875	(fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -144 binary64))
accuracy	0.0546875	(fma.f64 (/.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -144 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) x #s(literal 3 binary64))
accuracy	16.5221242079407	(/.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -144 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))

Samples

82.0ms	208×	0	valid
20.0ms	24×	1	valid
12.0ms	24×	2	valid

Compiler

Compiled 323 to 68 computations (78.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 96.0ms

ival-mult: 66.0ms (68.4% of total)

adjust: 12.0ms (12.4% of total)

ival-add: 11.0ms (11.4% of total)

ival-div: 4.0ms (4.1% of total)

ival-sub: 3.0ms (3.1% of total)

exact: 1.0ms (1% of total)

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

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

series15.0ms (0.3%)

Memory

-2.6MiB live, 34.6MiB allocated

Counts

16 → 192

Calls

Call 1

Inputs
#s(alt #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (/.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -144 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) x #s(literal 3 binary64))) (patch #s(approx ( 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (/.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -144 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) x #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -144 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) x #s(literal 3 binary64)) (patch (fma.f64 (/.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -144 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) x #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -144 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (patch (/.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -144 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -144 binary64)) (patch (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -144 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* (* x x) (- (* (* x x) 9) 16)) (/ 3 (* (+ (* 3 x) 4) x))) 3) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))) (patch #s(approx (+ (* (* (* x x) (- (* (* x x) 9) 16)) (/ 3 (* (+ (* 3 x) 4) 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 (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x #s(literal 9 binary64)) x)) (patch #s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x #s(literal 9 binary64)) x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x #s(literal 9 binary64)) x) (patch (.f64 (.f64 x #s(literal 9 binary64)) x) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 9 binary64)) (patch (.f64 x #s(literal 9 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* (* x x) (- (* (* x x) 9) 16)) (/ 3 (* (+ (* 3 x) 4) x))) 3) (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)) (patch #s(approx (+ ( (* (* x x) (- (* (* x x) 9) 16)) (/ 3 (* (+ (* 3 x) 4) 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 #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 (.f64 #s(literal 3 binary64) x) x)) #s(literal 3 binary64)) (patch (.f64 #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 (.f64 #s(literal 3 binary64) x) x)) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (.f64 (.f64 #s(literal 3 binary64) x) x)) (patch #s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (.f64 (.f64 #s(literal 3 binary64) x) x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal 3 binary64) x) x) (patch (.f64 (.f64 #s(literal 3 binary64) x) x) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 3 binary64) x) (patch (.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())

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

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

((* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (* (/ (+ (* 81 (* x x)) -144) (+ (* x 9) 12)) x) 3) (/ (+ (* 81 (* x x)) -144) (+ (* x 9) 12)) (+ (* 81 (* x x)) -144) (+ (* (* (* x x) (- (* (* x x) 9) 16)) (/ 3 (* (+ (* 3 x) 4) x))) 3) (+ (* -12 x) 3) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* (* x 9) x) (* x 9) (+ (* (* (* x x) (- (* (* x x) 9) 16)) (/ 3 (* (+ (* 3 x) 4) x))) 3) (* (+ (* 9 x) -12) x) (+ (* 9 x) -12) (* (+ (- (* (* x 3) x) (* x 4)) 1) 3) (+ (- (* (* x 3) x) (* x 4)) 1) (* (* 3 x) x) (* 3 x))

2.0ms

inf

((* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (* (/ (+ (* 81 (* x x)) -144) (+ (* x 9) 12)) x) 3) (/ (+ (* 81 (* x x)) -144) (+ (* x 9) 12)) (+ (* 81 (* x x)) -144) (+ (* (* (* x x) (- (* (* x x) 9) 16)) (/ 3 (* (+ (* 3 x) 4) x))) 3) (+ (* -12 x) 3) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* (* x 9) x) (* x 9) (+ (* (* (* x x) (- (* (* x x) 9) 16)) (/ 3 (* (+ (* 3 x) 4) x))) 3) (* (+ (* 9 x) -12) x) (+ (* 9 x) -12) (* (+ (- (* (* x 3) x) (* x 4)) 1) 3) (+ (- (* (* x 3) x) (* x 4)) 1) (* (* 3 x) x) (* 3 x))

2.0ms

-inf

((* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (+ (* (/ (+ (* 81 (* x x)) -144) (+ (* x 9) 12)) x) 3) (/ (+ (* 81 (* x x)) -144) (+ (* x 9) 12)) (+ (* 81 (* x x)) -144) (+ (* (* (* x x) (- (* (* x x) 9) 16)) (/ 3 (* (+ (* 3 x) 4) x))) 3) (+ (* -12 x) 3) (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (* (* x 9) x) (* x 9) (+ (* (* (* x x) (- (* (* x x) 9) 16)) (/ 3 (* (+ (* 3 x) 4) x))) 3) (* (+ (* 9 x) -12) x) (+ (* 9 x) -12) (* (+ (- (* (* x 3) x) (* x 4)) 1) 3) (+ (- (* (* x 3) x) (* x 4)) 1) (* (* 3 x) x) (* 3 x))

simplify106.0ms (1.8%)

Memory

-0.2MiB live, 145.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	1090
1	179	1090
2	474	1090
3	1125	1086
4	2852	1086
5	5486	1086
0	8068	936

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

Inputs
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(+ 3 (* x (- (* 9 x) 12)))
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(+ 3 (* x (- (* 9 x) 12)))
-12
(- (* 9 x) 12)
(- (* 9 x) 12)
(- (* 9 x) 12)
-144
(- (* 81 (pow x 2)) 144)
(- (* 81 (pow x 2)) 144)
(- (* 81 (pow x 2)) 144)
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(+ 3 (* x (- (* 9 x) 12)))
3
(+ 3 (* -12 x))
(+ 3 (* -12 x))
(+ 3 (* -12 x))
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(+ 3 (* x (- (* 9 x) 12)))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 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)
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)
(* 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))))
(* 81 (pow x 2))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* -12 x)
(* x (- (* 3 (/ 1 x)) 12))
(* x (- (* 3 (/ 1 x)) 12))
(* x (- (* 3 (/ 1 x)) 12))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 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))
(* (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))))
(* 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)
(* 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)))
(* 81 (pow x 2))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* -12 x)
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 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))
(* (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))))
(* 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
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))
-144
#s(literal -144 binary64)
(- (* 81 (pow x 2)) 144)
(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))
(- (* 81 (pow x 2)) 144)
(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))
(- (* 81 (pow x 2)) 144)
(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
(+ 3 (* -12 x))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
(+ 3 (* -12 x))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* 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))
(* -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))
1
#s(literal 1 binary64)
(+ 1 (* -4 x))
(fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* 3 x) 4)))
(fma.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* 3 x) 4)))
(fma.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x #s(literal 1 binary64))
(* 3 (pow x 2))
(.f64 (.f64 x #s(literal 3 binary64)) x)
(* 3 (pow x 2))
(.f64 (.f64 x #s(literal 3 binary64)) x)
(* 3 (pow x 2))
(.f64 (.f64 x #s(literal 3 binary64)) x)
(* 3 (pow x 2))
(.f64 (.f64 x #s(literal 3 binary64)) x)
(* 3 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))
(* 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))
(* 81 (pow x 2))
(.f64 (.f64 x x) #s(literal 81 binary64))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* x (- (* 3 (/ 1 x)) 12))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 12))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 12))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* 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))
(* (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))
(* 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)
(* 3 (pow x 2))
(.f64 (.f64 x #s(literal 3 binary64)) x)
(* 3 (pow x 2))
(.f64 (.f64 x #s(literal 3 binary64)) x)
(* 3 (pow x 2))
(.f64 (.f64 x #s(literal 3 binary64)) x)
(* 3 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))
(* 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))
(* 81 (pow x 2))
(.f64 (.f64 x x) #s(literal 81 binary64))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x)
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* 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))
(* (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))
(* 3 (pow x 2))
(.f64 (.f64 x #s(literal 3 binary64)) x)
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x)
(* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x))))
(fma.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x))))
(fma.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) x #s(literal 1 binary64))
(* 3 (pow x 2))
(.f64 (.f64 x #s(literal 3 binary64)) x)
(* 3 (pow x 2))
(.f64 (.f64 x #s(literal 3 binary64)) x)
(* 3 (pow x 2))
(.f64 (.f64 x #s(literal 3 binary64)) x)
(* 3 (pow x 2))
(.f64 (.f64 x #s(literal 3 binary64)) x)
(* 3 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))

rewrite202.0ms (3.5%)

Memory

2.9MiB live, 296.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	202
0	61	209
1	265	173
2	1926	157
0	8798	145

Stop Event

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

Counts

16 → 322

Calls

Call 1

Inputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (/.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -144 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) x #s(literal 3 binary64)))
(fma.f64 (/.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -144 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) x #s(literal 3 binary64))
(/.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -144 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))
(fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -144 binary64))
#s(approx (+ (* (* (* x x) (- (* (* x x) 9) 16)) (/ 3 (* (+ (* 3 x) 4) 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 (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x #s(literal 9 binary64)) x))
(.f64 (.f64 x #s(literal 9 binary64)) x)
(*.f64 x #s(literal 9 binary64))
#s(approx (+ (* (* (* x x) (- (* (* x x) 9) 16)) (/ 3 (* (+ (* 3 x) 4) 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 #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 (.f64 #s(literal 3 binary64) x) x)) #s(literal 3 binary64))
#s(approx (+ (- (* (* x 3) x) (* x 4)) 1) (.f64 (.f64 #s(literal 3 binary64) x) x))
(.f64 (.f64 #s(literal 3 binary64) x) x)
(*.f64 #s(literal 3 binary64) x)

Outputs
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eval91.0ms (1.6%)

Memory: -17.8MiB live, 129.2MiB allocated
Compiler: Compiled 8 239 to 1 193 computations (85.5% saved)

prune28.0ms (0.5%)

Memory

15.6MiB live, 84.8MiB allocated

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	512	2	514
Fresh	0	0	0
Picked	1	4	5
Done	0	3	3
Total	513	9	522

Accuracy

100.0%

Counts

522 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.3%	(.f64 #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 (.f64 #s(literal 3 binary64) x) x)) #s(literal 3 binary64))
✓	54.0%	#s(approx (+ (* (* (* x x) (- (* (* x x) 9) 16)) (/ 3 (* (+ (* 3 x) 4) x))) 3) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
▶	43.5%	#s(approx (+ (* (* (* x x) (- (* (* x x) 9) 16)) (/ 3 (* (+ (* 3 x) 4) x))) 3) (/.f64 (.f64 (fma.f64 (.f64 x #s(literal 81 binary64)) x #s(literal -144 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64))))
✓	49.7%	#s(approx (+ (* (* (* x x) (- (* (* x x) 9) 16)) (/ 3 (* (+ (* 3 x) 4) x))) 3) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))
▶	4.1%	#s(approx (+ (* (* (* x x) (- (* (* x x) 9) 16)) (/ 3 (* (+ (* 3 x) 4) 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)))
✓	49.3%	#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)) (.f64 (.f64 x #s(literal 9 binary64)) x))
✓	53.2%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Compiler

Compiled 61 to 53 computations (13.1% saved)

simplify175.0ms (3%)

Memory

20.2MiB live, 256.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 (*.f64 x #s(literal 81 binary64)) x #s(literal -144 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 x #s(literal 81 binary64)) x #s(literal -144 binary64)) x)
cost-diff	0	(/.f64 (.f64 (fma.f64 (.f64 x #s(literal 81 binary64)) x #s(literal -144 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64)))
cost-diff	0	#s(approx (+ (* (* (* x x) (- (* (* x x) 9) 16)) (/ 3 (* (+ (* 3 x) 4) x))) 3) (/.f64 (.f64 (fma.f64 (.f64 x #s(literal 81 binary64)) x #s(literal -144 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64))))
cost-diff	0	#s(approx (+ (* 9 x) -12) #s(literal -12 binary64))
cost-diff	0	(.f64 #s(approx (+ ( 9 x) -12) #s(literal -12 binary64)) x)
cost-diff	0	#s(approx (+ (* (* (* x x) (- (* (* x x) 9) 16)) (/ 3 (* (+ (* 3 x) 4) x))) 3) (.f64 #s(approx (+ ( 9 x) -12) #s(literal -12 binary64)) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	127
0	37	127
1	68	127
2	144	127
3	391	119
4	1013	115
5	2515	115
6	4730	115
7	7266	115
0	8290	106

Stop Event

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

Calls

Call 1

Inputs
#s(approx (+ (* (* (* x x) (- (* (* x x) 9) 16)) (/ 3 (* (+ (* 3 x) 4) 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) (- (* (* x x) 9) 16)) (/ 3 (* (+ (* 3 x) 4) x))) 3) (/.f64 (.f64 (fma.f64 (.f64 x #s(literal 81 binary64)) x #s(literal -144 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 x #s(literal 81 binary64)) x #s(literal -144 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64)))
(.f64 (fma.f64 (.f64 x #s(literal 81 binary64)) x #s(literal -144 binary64)) x)
(fma.f64 (*.f64 x #s(literal 81 binary64)) x #s(literal -144 binary64))
(*.f64 x #s(literal 81 binary64))
x
#s(literal 81 binary64)
#s(literal -144 binary64)
(fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64))
#s(literal 9 binary64)
#s(literal 12 binary64)

Outputs
#s(approx (+ (* (* (* x x) (- (* (* x x) 9) 16)) (/ 3 (* (+ (* 3 x) 4) 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) (- (* (* x x) 9) 16)) (/ 3 (* (+ (* 3 x) 4) x))) 3) (/.f64 (.f64 (fma.f64 (.f64 x #s(literal 81 binary64)) x #s(literal -144 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64))))
#s(approx (+ (* (* (* x x) (- (* (* x x) 9) 16)) (/ 3 (* (+ (* 3 x) 4) x))) 3) (.f64 (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (fma.f64 (.f64 #s(literal 81 binary64) x) x #s(literal -144 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 x #s(literal 81 binary64)) x #s(literal -144 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64)))
(.f64 (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (fma.f64 (.f64 #s(literal 81 binary64) x) x #s(literal -144 binary64)))
(.f64 (fma.f64 (.f64 x #s(literal 81 binary64)) x #s(literal -144 binary64)) x)
(.f64 (fma.f64 (.f64 #s(literal 81 binary64) x) x #s(literal -144 binary64)) x)
(fma.f64 (*.f64 x #s(literal 81 binary64)) x #s(literal -144 binary64))
(fma.f64 (*.f64 #s(literal 81 binary64) x) x #s(literal -144 binary64))
(*.f64 x #s(literal 81 binary64))
(*.f64 #s(literal 81 binary64) x)
x
#s(literal 81 binary64)
#s(literal -144 binary64)
(fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64))
(fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))
#s(literal 9 binary64)
#s(literal 12 binary64)

localize111.0ms (1.9%)

Memory

-35.4MiB live, 119.9MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0.05078125	(fma.f64 (*.f64 x #s(literal 81 binary64)) x #s(literal -144 binary64))
accuracy	0.0625	(.f64 (fma.f64 (.f64 x #s(literal 81 binary64)) x #s(literal -144 binary64)) x)
accuracy	4.062050298552365	(/.f64 (.f64 (fma.f64 (.f64 x #s(literal 81 binary64)) x #s(literal -144 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64)))
accuracy	32.16733302816911	#s(approx (+ (* (* (* x x) (- (* (* x x) 9) 16)) (/ 3 (* (+ (* 3 x) 4) x))) 3) (/.f64 (.f64 (fma.f64 (.f64 x #s(literal 81 binary64)) x #s(literal -144 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64))))
accuracy	0.1484375	(.f64 #s(approx (+ ( 9 x) -12) #s(literal -12 binary64)) x)
accuracy	30.05102291954943	#s(approx (+ (* 9 x) -12) #s(literal -12 binary64))
accuracy	32.16733302816911	#s(approx (+ (* (* (* x x) (- (* (* x x) 9) 16)) (/ 3 (* (+ (* 3 x) 4) x))) 3) (.f64 #s(approx (+ ( 9 x) -12) #s(literal -12 binary64)) x))

Samples

34.0ms	213×	0	valid
7.0ms	21×	1	valid
6.0ms	17×	2	valid
2.0ms	5×	3	valid

Compiler

Compiled 172 to 45 computations (73.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 20.0ms (52.4% of total)

ival-add: 7.0ms (18.3% of total)

ival-div: 6.0ms (15.7% of total)

adjust: 3.0ms (7.9% of total)

ival-sub: 1.0ms (2.6% of total)

exact: 1.0ms (2.6% of total)

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

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

series7.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB allocated

Counts

7 → 84

Calls

Call 1

Inputs
#s(alt #s(approx (+ (* (* (* x x) (- (* (* x x) 9) 16)) (/ 3 (* (+ (* 3 x) 4) x))) 3) (.f64 #s(approx (+ ( 9 x) -12) #s(literal -12 binary64)) x)) (patch #s(approx (+ (* (* (* x x) (- (* (* x x) 9) 16)) (/ 3 (* (+ (* 3 x) 4) 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) (- (* (* x x) 9) 16)) (/ 3 (* (+ (* 3 x) 4) x))) 3) (/.f64 (.f64 (fma.f64 (.f64 x #s(literal 81 binary64)) x #s(literal -144 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64)))) (patch #s(approx (+ (* (* (* x x) (- (* (* x x) 9) 16)) (/ 3 (* (+ (* 3 x) 4) x))) 3) (/.f64 (.f64 (fma.f64 (.f64 x #s(literal 81 binary64)) x #s(literal -144 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (fma.f64 (.f64 x #s(literal 81 binary64)) x #s(literal -144 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64))) (patch (/.f64 (.f64 (fma.f64 (.f64 x #s(literal 81 binary64)) x #s(literal -144 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 x #s(literal 81 binary64)) x #s(literal -144 binary64)) x) (patch (.f64 (fma.f64 (.f64 x #s(literal 81 binary64)) x #s(literal -144 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x #s(literal 81 binary64)) x #s(literal -144 binary64)) (patch (fma.f64 (.f64 x #s(literal 81 binary64)) x #s(literal -144 binary64)) #<representation binary64>) () ())

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

-inf

((+ (* (* (* x x) (- (* (* x x) 9) 16)) (/ 3 (* (+ (* 3 x) 4) x))) 3) (* (+ (* 9 x) -12) x) (+ (* 9 x) -12) (+ (* (* (* x x) (- (* (* x x) 9) 16)) (/ 3 (* (+ (* 3 x) 4) x))) 3) (/ (* (+ (* (* x 81) x) -144) x) (+ (* 9 x) 12)) (* (+ (* (* x 81) x) -144) x) (+ (* (* x 81) x) -144))

1.0ms

inf

((+ (* (* (* x x) (- (* (* x x) 9) 16)) (/ 3 (* (+ (* 3 x) 4) x))) 3) (* (+ (* 9 x) -12) x) (+ (* 9 x) -12) (+ (* (* (* x x) (- (* (* x x) 9) 16)) (/ 3 (* (+ (* 3 x) 4) x))) 3) (/ (* (+ (* (* x 81) x) -144) x) (+ (* 9 x) 12)) (* (+ (* (* x 81) x) -144) x) (+ (* (* x 81) x) -144))

1.0ms

((+ (* (* (* x x) (- (* (* x x) 9) 16)) (/ 3 (* (+ (* 3 x) 4) x))) 3) (* (+ (* 9 x) -12) x) (+ (* 9 x) -12) (+ (* (* (* x x) (- (* (* x x) 9) 16)) (/ 3 (* (+ (* 3 x) 4) x))) 3) (/ (* (+ (* (* x 81) x) -144) x) (+ (* 9 x) 12)) (* (+ (* (* x 81) x) -144) x) (+ (* (* x 81) x) -144))

simplify118.0ms (2%)

Memory

11.8MiB live, 87.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	540
1	133	540
2	360	540
3	942	540
4	2577	540
5	5058	540
6	7440	540
0	8098	465

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

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

rewrite219.0ms (3.8%)

Memory

-13.0MiB live, 173.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	113
0	37	113
1	164	101
2	1172	85
0	8785	76

Stop Event

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

Counts

7 → 255

Calls

Call 1

Inputs
#s(approx (+ (* (* (* x x) (- (* (* x x) 9) 16)) (/ 3 (* (+ (* 3 x) 4) 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) (- (* (* x x) 9) 16)) (/ 3 (* (+ (* 3 x) 4) x))) 3) (/.f64 (.f64 (fma.f64 (.f64 x #s(literal 81 binary64)) x #s(literal -144 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 x #s(literal 81 binary64)) x #s(literal -144 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64)))
(.f64 (fma.f64 (.f64 x #s(literal 81 binary64)) x #s(literal -144 binary64)) x)
(fma.f64 (*.f64 x #s(literal 81 binary64)) x #s(literal -144 binary64))

Outputs
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eval68.0ms (1.2%)

Memory: 20.7MiB live, 137.5MiB allocated
Compiler: Compiled 6 232 to 970 computations (84.4% saved)

prune12.0ms (0.2%)

Memory

8.1MiB live, 45.3MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	338	1	339
Fresh	0	0	0
Picked	1	1	2
Done	0	7	7
Total	339	9	348

Accuracy

100.0%

Counts

348 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.3%	(.f64 #s(approx (+ (- ( (* x 3) x) (* x 4)) 1) (.f64 (.f64 #s(literal 3 binary64) x) x)) #s(literal 3 binary64))
✓	54.0%	#s(approx (+ (* (* (* x x) (- (* (* x x) 9) 16)) (/ 3 (* (+ (* 3 x) 4) x))) 3) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
	43.1%	#s(approx (+ (* (* (* x x) (- (* (* x x) 9) 16)) (/ 3 (* (+ (* 3 x) 4) x))) 3) (/.f64 (.f64 #s(approx (+ ( (* x 81) x) -144) (.f64 (.f64 x x) #s(literal 81 binary64))) x) (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64))))
✓	49.7%	#s(approx (+ (* (* (* x x) (- (* (* x x) 9) 16)) (/ 3 (* (+ (* 3 x) 4) x))) 3) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))
✓	4.1%	#s(approx (+ (* (* (* x x) (- (* (* x x) 9) 16)) (/ 3 (* (+ (* 3 x) 4) 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)))
✓	49.3%	#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)) (.f64 (.f64 x #s(literal 9 binary64)) x))
✓	53.2%	#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Compiler

Compiled 214 to 122 computations (43% saved)

regimes27.0ms (0.5%)

Memory

-18.6MiB live, 66.2MiB 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) (- (* (* x x) 9) 16)) (/ 3 (* (+ (* 3 x) 4) 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) (- (* (* x x) 9) 16)) (/ 3 (* (+ (* 3 x) 4) x))) 3) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x #s(literal 9 binary64)) x))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (.f64 (.f64 x x) #s(literal 9 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x))
#s(approx (+ (* (* (* x x) (- (* (* x x) 9) 16)) (/ 3 (* (+ (* 3 x) 4) 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)))
(.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 #s(literal 3 binary64) 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)))
(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
#s(approx (+ (* (* (* x x) (- (* (* x x) 9) 16)) (/ 3 (* (+ (* 3 x) 4) x))) 3) (/.f64 (.f64 #s(approx (+ ( (* x 81) x) -144) (.f64 (.f64 x x) #s(literal 81 binary64))) x) (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64))))
#s(approx (+ (* (* (* x x) (- (* (* x x) 9) 16)) (/ 3 (* (+ (* 3 x) 4) x))) 3) (/.f64 (.f64 (fma.f64 (.f64 x #s(literal 81 binary64)) x #s(literal -144 binary64)) x) (fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64))))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (/.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -144 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) x #s(literal 3 binary64)))
(fma.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 16 binary64))) (/.f64 #s(literal 3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 4 binary64)) x)) #s(literal 3 binary64))

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

Calls

4 calls:

10.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
6.0ms	(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
5.0ms	x
5.0ms	(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))

Results

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

Compiler

Compiled 34 to 27 computations (20.6% saved)

regimes14.0ms (0.2%)

Memory

-8.5MiB live, 29.3MiB allocated

Counts

8 → 2

Calls

Call 1

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

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

Results

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

Compiler

Compiled 34 to 27 computations (20.6% saved)

regimes8.0ms (0.1%)

Memory

22.1MiB live, 22.1MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

3 calls:

3.0ms

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

2.0ms

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

2.0ms

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

Results

Accuracy	Segments	Branch
99.0%	2	`(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))`
99.0%	2	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
99.0%	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 (0.2%)

Memory

-21.3MiB live, 16.2MiB allocated

Counts

5 → 2

Calls

Call 1

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

Calls

3 calls:

4.0ms

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

2.0ms

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

2.0ms

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

Results

Accuracy	Segments	Branch
99.0%	2	`(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))`
99.0%	2	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
99.0%	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)

regimes8.0ms (0.1%)

Memory

17.5MiB live, 17.5MiB 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) (- (* (* x x) 9) 16)) (/ 3 (* (+ (* 3 x) 4) 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) (- (* (* x x) 9) 16)) (/ 3 (* (+ (* 3 x) 4) 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
54.0%	1	`x`
54.0%	1	`(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))`
54.0%	1	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
54.0%	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)

regimes6.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB allocated

Accuracy

Total -31.9b remaining (-106.6%)

Threshold costs -31.9b (-106.6%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
53.2%	1	`x`
53.2%	1	`(.f64 #s(literal 3 binary64) (+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))`
53.2%	1	`(+.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))`
53.2%	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

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.013956279019958492	1441551467600928.8

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.013956279019958492	1441551467600928.8

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.013956279019958492	1441551467600928.8

Compiler

Compiled 16 to 15 computations (6.3% saved)

simplify162.0ms (2.8%)

Memory

-20.8MiB live, 99.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	202
1	68	184
2	123	184
3	234	184
4	426	184
5	711	184
6	1418	184
7	2587	184
8	7078	184

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)))
(if (<=.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 5764607523034235/288230376151711744 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 5764607523034235/288230376151711744 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 5764607523034235/288230376151711744 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 #s(literal 9 binary64)) x)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

Outputs
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) x #s(literal 3 binary64)))
(if (<=.f64 (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x #s(literal 4 binary64))) #s(literal 5764607523034235/288230376151711744 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 5764607523034235/288230376151711744 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 5764607523034235/288230376151711744 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 5764607523034235/288230376151711744 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 5764607523034235/288230376151711744 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 #s(literal 9 binary64)) x)))
(if (<=.f64 (-.f64 (.f64 (.f64 #s(literal 3 binary64) x) x) (.f64 #s(literal 4 binary64) x)) #s(literal 5764607523034235/288230376151711744 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 #s(literal 9 binary64)) x)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) (fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64)))
#s(approx (* 3 (+ (- (* (* x 3) x) (* x 4)) 1)) #s(literal 3 binary64))

soundness820.0ms (14.1%)

Memory

3.7MiB live, 355.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	162
0	45	162
1	190	152
2	1393	146
0	8258	132
0	52	380
1	139	380
2	341	380
3	776	380
4	1989	376
5	4400	376
6	6068	376
7	7923	376
0	8062	337

Stop Event

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

Compiler

Compiled 124 to 64 computations (48.4% saved)

preprocess134.0ms (2.3%)

Memory: 23.7MiB live, 106.9MiB allocated
Compiler: Compiled 218 to 94 computations (56.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample966.0ms (16.6%)

explain326.0ms (5.6%)

preprocess347.0ms (6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify145.0ms (2.5%)

localize39.0ms (0.7%)

series13.0ms (0.2%)

simplify151.0ms (2.6%)

rewrite241.0ms (4.1%)

eval119.0ms (2%)

prune11.0ms (0.2%)

simplify171.0ms (2.9%)

localize92.0ms (1.6%)

series52.0ms (0.9%)

simplify153.0ms (2.6%)

rewrite270.0ms (4.6%)

eval74.0ms (1.3%)

prune21.0ms (0.4%)

simplify150.0ms (2.6%)

localize136.0ms (2.3%)

series15.0ms (0.3%)

simplify106.0ms (1.8%)

rewrite202.0ms (3.5%)

eval91.0ms (1.6%)

prune28.0ms (0.5%)

simplify175.0ms (3%)

localize111.0ms (1.9%)

series7.0ms (0.1%)

simplify118.0ms (2%)

rewrite219.0ms (3.8%)

eval68.0ms (1.2%)

prune12.0ms (0.2%)

regimes27.0ms (0.5%)

regimes14.0ms (0.2%)

regimes8.0ms (0.1%)

regimes9.0ms (0.2%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify162.0ms (2.8%)

soundness820.0ms (14.1%)

preprocess134.0ms (2.3%)

end0.0ms (0%)

Profiling