Metrics for Data.Spline.Key:interpolateKeys from smoothie-0.4.0.2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample761.0ms (8.6%)

Memory

-37.9MiB live, 994.2MiB allocated

Samples

541.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 371.0ms

ival-mult: 236.0ms (63.6% of total)

ival-sub: 119.0ms (32.1% of total)

exact: 8.0ms (2.2% of total)

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

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

Bogosity

explain86.0ms (1%)

Memory

2.0MiB live, 160.7MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))`
-	-	`(*.f64 x #s(literal 2 binary64))`
-	-	`#s(literal 2 binary64)`
-	-	`#s(literal 3 binary64)`
-	-	`(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))`
-	-	`(*.f64 x x)`
-	-	`x`

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

29.0ms

512×

valid

Compiler

Compiled 60 to 25 computations (58.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 9.0ms (52.3% of total)

ival-sub: 7.0ms (40.7% of total)

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

exact: 0.0ms (0% of total)

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

preprocess58.0ms (0.6%)

Memory

11.2MiB live, 81.8MiB allocated

Algorithm

1×	egg-herbie

Rules

616×	`lower-fma.f64`
616×	`lower-fma.f32`
392×	`lower-*.f32`
386×	`lower-*.f64`
204×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	36	18
2	120	18
3	451	18
4	845	18
5	940	18
6	944	18
0	7	9
0	11	9
1	20	9
2	48	9
3	112	9
4	208	9
5	266	9
6	346	9
7	500	9
8	623	9
9	704	9
10	872	9
11	874	9
0	874	8

Stop Event

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

Calls

Call 1

Inputs
(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))

Outputs
(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))

Compiler

Compiled 10 to 7 computations (30% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))

Compiler

Compiled 10 to 7 computations (30% saved)

simplify30.0ms (0.3%)

Memory

-0.6MiB live, 36.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x #s(literal 2 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
cost-diff	128	(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))

Rules

616×	`lower-fma.f64`
616×	`lower-fma.f32`
392×	`lower-*.f32`
386×	`lower-*.f64`
166×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
0	11	23
1	20	23
2	48	23
3	112	23
4	208	23
5	266	23
6	346	23
7	500	23
8	623	23
9	704	23
10	872	23
11	874	23
0	874	21

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(*.f64 x x)
x
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
#s(literal 3 binary64)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)

Outputs
(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(*.f64 x x)
x
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)

localize32.0ms (0.4%)

Memory

-19.9MiB live, 61.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0	(*.f64 x #s(literal 2 binary64))
accuracy	0.08203125	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))

Samples

21.0ms

256×

valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 5.0ms (78.2% of total)

ival-sub: 1.0ms (15.6% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0%)

Memory

10.6MiB live, 10.6MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#s(alt (-.f64 #s(literal 3 binary64) (.f64 x #s(literal 2 binary64))) (patch (-.f64 #s(literal 3 binary64) (.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (.f64 x #s(literal 2 binary64)))) (patch (.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())

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

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(* x x)
0.0ms	x	@	inf	(- 3 (* x 2))
0.0ms	x	@	0	(* (* x x) (- 3 (* x 2)))
0.0ms	x	@	-inf	(* x 2)
0.0ms	x	@	0	(- 3 (* x 2))

simplify313.0ms (3.5%)

Memory

28.8MiB live, 419.1MiB allocated

Algorithm

1×	egg-herbie

Rules

20 650×	`lower-fma.f64`
20 650×	`lower-fma.f32`
3 112×	`lower-*.f64`
3 112×	`lower-*.f32`
2 720×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	220
1	63	220
2	165	220
3	494	220
4	1369	220
5	2276	220
6	3140	220
7	3877	220
8	5631	220
9	6275	220
10	6644	220
0	8428	202

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

rewrite955.0ms (10.8%)

Memory

-9.3MiB live, 400.3MiB allocated

Rules

9 334×	`lower-fma.f64`
9 334×	`lower-fma.f32`
4 144×	`lower-*.f32`
4 138×	`lower-*.f64`
3 844×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
0	11	20
1	35	20
2	219	20
3	1759	20
0	8516	18

Stop Event

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

Counts

4 → 287

Calls

Call 1

Inputs
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(*.f64 x x)
(*.f64 x #s(literal 2 binary64))

Outputs
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))
(+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))
(+.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) (neg.f64 (/.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64)) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))))
(+.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (neg.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))
(+.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64)) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))))
(-.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))
(-.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 19683 binary64) (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)) #s(literal 729 binary64))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 512 binary64)) (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (fma.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)) #s(literal 729 binary64))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 729 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))))
(-.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 9 binary64) (.f64 x #s(literal 6 binary64))))) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (fma.f64 x (.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64))))))
(-.f64 (/.f64 (/.f64 #s(literal 19683 binary64) (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)) #s(literal 729 binary64))) (fma.f64 x (.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 9 binary64) (.f64 x #s(literal 6 binary64))))) (/.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 512 binary64)) (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)) #s(literal 729 binary64))) (fma.f64 x (.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64))))))
(-.f64 (/.f64 (/.f64 #s(literal 729 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64))) (fma.f64 x (.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 9 binary64) (.f64 x #s(literal 6 binary64))))) (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64))) (fma.f64 x (.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 9 binary64) (.f64 x #s(literal 6 binary64))))))
(-.f64 (/.f64 (/.f64 #s(literal 729 binary64) (fma.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (fma.f64 x (.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 81 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64))) (fma.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (fma.f64 x (.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 81 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 81 binary64) (fma.f64 x (.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64))) (fma.f64 x (.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -9 binary64) (*.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64))))) (neg.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (neg.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(-.f64 (/.f64 #s(literal 729 binary64) (.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64))) (.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)))))
(-.f64 (/.f64 #s(literal 729 binary64) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) (fma.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (fma.f64 x (.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 81 binary64)))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64))) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) (fma.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (fma.f64 x (.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 81 binary64)))))
(-.f64 (/.f64 #s(literal 19683 binary64) (.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)) (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)) #s(literal 729 binary64)))) (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 512 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)) (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (fma.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)) #s(literal 729 binary64)))))
(-.f64 (/.f64 #s(literal 81 binary64) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) (fma.f64 x (.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64))) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) (fma.f64 x (.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) (.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))) (/.f64 (.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 9 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) (/.f64 (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) (.f64 x (.f64 x #s(literal 4 binary64)))) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))
(-.f64 (/.f64 (.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) (.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)) #s(literal 1/27 binary64)))) (fma.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) (fma.f64 #s(literal 64 binary64) (.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))) (.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))))))) (/.f64 (.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) (.f64 #s(literal 64 binary64) (.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))))) (fma.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) (fma.f64 #s(literal 64 binary64) (.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))) (.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))))))))
(-.f64 (/.f64 (/.f64 #s(literal 729 binary64) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))) (fma.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (fma.f64 #s(literal 16 binary64) (.f64 (/.f64 (.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (/.f64 (.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) (.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))) (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64))) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))) (fma.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (fma.f64 #s(literal 16 binary64) (.f64 (/.f64 (.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (/.f64 (.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) (.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) (.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)) #s(literal 1/27 binary64))) (+.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))))) (/.f64 (.f64 #s(literal 64 binary64) (.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))))) (+.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64)) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))))))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 1/9 binary64))) (+.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))) (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 16 binary64)) (.f64 (/.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (/.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (/.f64 (.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(fma.f64 #s(literal 2 binary64) (neg.f64 x) #s(literal 3 binary64))
(fma.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64) #s(literal 3 binary64))
(fma.f64 #s(literal 27 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) (neg.f64 (/.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64)) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))))
(fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))) #s(literal 3 binary64))
(fma.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (neg.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))
(fma.f64 (neg.f64 x) #s(literal 2 binary64) #s(literal 3 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) (neg.f64 (/.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64)) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (neg.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))
(fma.f64 (.f64 (.f64 x x) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
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(.f64 (.f64 (+.f64 #s(literal -27 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (.f64 x x)) (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))))
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(.f64 (/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)))) (fma.f64 (.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64))) (.f64 (.f64 x x) (.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)))) #s(literal 729 binary64))) (fma.f64 (.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal -9 binary64)) #s(literal 81 binary64)))
(.f64 (/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)))) (-.f64 #s(literal 81 binary64) (.f64 (.f64 x x) (.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)))))) (-.f64 #s(literal 9 binary64) (*.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)))))
(.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal -6 binary64)) #s(literal 9 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 x) (log.f64 x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(*.f64 x x)
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 #s(literal 1 binary64) (.f64 x x))
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 2 binary64)))
(exp.f64 (log.f64 (*.f64 x #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -2 binary64)))
(neg.f64 (*.f64 x #s(literal -2 binary64)))
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 x (*.f64 x #s(literal 4 binary64))) #s(literal 0 binary64))))
(/.f64 (.f64 (.f64 x x) #s(literal -4 binary64)) (*.f64 x #s(literal -2 binary64)))
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 2 binary64))
(*.f64 x (exp.f64 (log.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) x)
(.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x #s(literal -2 binary64)))
(*.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) x)
(.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))

eval61.0ms (0.7%)

Memory: 11.5MiB live, 80.2MiB allocated
Compiler: Compiled 10 134 to 956 computations (90.6% saved)

prune103.0ms (1.2%)

Memory

-15.5MiB live, 114.5MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	320	15	335
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	321	15	336

Accuracy

100.0%

Counts

336 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	87.7%	(fma.f64 (.f64 x x) #s(literal 3 binary64) (.f64 x (.f64 x (.f64 x #s(literal -2 binary64)))))
	24.1%	(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 4 binary64))))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64)))) (-.f64 (.f64 x (.f64 x (.f64 x #s(literal -2 binary64)))) (.f64 #s(literal 3 binary64) (*.f64 x x))))
	52.0%	(/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))
▶	99.7%	(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
	99.7%	(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))
	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))))
▶	99.7%	(.f64 (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (.f64 x x)))
▶	99.9%	(.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 x x))
	97.2%	(.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))
▶	99.8%	(.f64 (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
	76.5%	(.f64 (.f64 x x) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))))))
	63.6%	(.f64 (.f64 x x) (.f64 (-.f64 (.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) (.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))))))
	72.4%	(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))
	63.9%	(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
▶	63.8%	#s(approx (* (* x x) (- 3 (* x 2))) (.f64 x (.f64 x #s(literal 3 binary64))))

Compiler

Compiled 526 to 296 computations (43.7% saved)

simplify258.0ms (2.9%)

Memory

-22.2MiB live, 132.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (.f64 x x)))
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (.f64 x x))
cost-diff	0	(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	1088	(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
cost-diff	0	(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
cost-diff	0	(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
cost-diff	0	(.f64 (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
cost-diff	0	(*.f64 x #s(literal 3 binary64))
cost-diff	0	(.f64 x (.f64 x #s(literal 3 binary64)))
cost-diff	0	#s(approx (* (* x x) (- 3 (* x 2))) (.f64 x (.f64 x #s(literal 3 binary64))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
cost-diff	0	(.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 x x))

Rules

3 072×	`lower-fma.f32`
3 066×	`lower-fma.f64`
1 968×	`lower-*.f32`
1 952×	`lower-*.f64`
1 438×	`unsub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	143
0	42	141
1	85	136
2	161	136
3	370	136
4	878	136
5	1041	136
6	1201	136
7	1515	136
8	1730	136
9	1793	136
10	2299	136
11	3844	136
12	5048	136
13	5416	136
14	5424	136
15	5430	136
16	5432	136
17	6044	136
18	6332	136
19	6332	136
20	6332	136
21	6332	136
22	6337	136
23	6337	136
24	6338	136
0	6338	136

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 x x))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
x
#s(literal -2 binary64)
#s(literal 3 binary64)
(*.f64 x x)
#s(approx (* (* x x) (- 3 (* x 2))) (.f64 x (.f64 x #s(literal 3 binary64))))
(.f64 x (.f64 x #s(literal 3 binary64)))
x
(*.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(.f64 (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
x
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
#s(literal -2 binary64)
#s(literal 3 binary64)
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
#s(literal 1 binary64)
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
#s(literal -2 binary64)
#s(literal 3 binary64)
(.f64 (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (.f64 x x)))
(fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))
(*.f64 x x)
x
#s(literal -4 binary64)
#s(literal 9 binary64)
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (.f64 x x))
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))
#s(literal 1 binary64)
(fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))
#s(literal 2 binary64)
#s(literal 3 binary64)

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

localize93.0ms (1.1%)

Memory

28.0MiB live, 213.4MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0.10775375976844202	(.f64 (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (.f64 x x)))
accuracy	14.145266624091366	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (.f64 x x))
accuracy	0	(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.0078125	(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
accuracy	0.171875	(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
accuracy	0	(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
accuracy	0.109375	(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
accuracy	0.11328125	(.f64 (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
accuracy	0	(*.f64 x #s(literal 3 binary64))
accuracy	0.16015625	(.f64 x (.f64 x #s(literal 3 binary64)))
accuracy	23.066052681315696	#s(approx (* (* x x) (- 3 (* x 2))) (.f64 x (.f64 x #s(literal 3 binary64))))
accuracy	0	(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.08203125	(.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 x x))

Samples

42.0ms	232×	0	valid
7.0ms	11×	2	valid
3.0ms	13×	1	valid

Compiler

Compiled 153 to 28 computations (81.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 20.0ms (58.3% of total)

ival-div: 5.0ms (14.6% of total)

adjust: 4.0ms (11.7% of total)

ival-add: 4.0ms (11.7% of total)

ival-sub: 1.0ms (2.9% of total)

exact: 1.0ms (2.9% of total)

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

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

series47.0ms (0.5%)

Memory

-34.5MiB live, 26.6MiB allocated

Counts

14 → 168

Calls

Call 1

Inputs
#s(alt (.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 x x)) (patch (.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 x x)) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (patch (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (* (* x x) (- 3 (* x 2))) (.f64 x (.f64 x #s(literal 3 binary64)))) (patch #s(approx (* (* x x) (- 3 (* x 2))) (.f64 x (.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 x #s(literal 3 binary64))) (patch (.f64 x (.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x) (patch (.f64 (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x) #<representation binary64>) () ())
#s(alt (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) (patch (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) (patch (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (.f64 x x)) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (.f64 x x))) (patch (.f64 (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (.f64 x x))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (patch (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())

Outputs
#s(alt (* 3 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 x x)) (patch (.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 x x)) (patch (.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 x x)) (patch (.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 x x)) (patch (.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4)) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (patch (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4)) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (patch (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4)) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (patch (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/3 (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 (* -2/9 x)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 (* x (- (* 4/27 x) 2/9))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 (* x (- (* x (+ 4/27 (* -8/81 x))) 2/9))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1/2 (* 3/4 (/ 1 x))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1/2 (/ 9/8 (pow x 2))) (* 3/4 (/ 1 x))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1/2 (/ 9/8 (pow x 2))) (+ (* 3/4 (/ 1 x)) (* 27/16 (/ 1 (pow x 3))))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 3/4 (/ 1 x)) 1/2) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 9/8 (/ 1 x)) 3/4) x)) 1/2) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27/16 (/ 1 x)) 9/8) x)) 3/4) x)) 1/2) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())

Calls

42 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(* x (+ (* x -2) 3))
0.0ms	x	@	inf	(* (+ (* (* x x) -4) 9) (* (/ 1 (+ (* x 2) 3)) (* x x)))
0.0ms	x	@	0	(* (+ (* (* x x) -4) 9) (* (/ 1 (+ (* x 2) 3)) (* x x)))
0.0ms	x	@	-inf	(* (+ (* (* x x) -4) 9) (* (/ 1 (+ (* x 2) 3)) (* x x)))
0.0ms	x	@	inf	(* x (* x 3))

simplify179.0ms (2%)

Memory

25.4MiB live, 365.8MiB allocated

Algorithm

1×	egg-herbie

Rules

7 846×	`lower-fma.f64`
7 846×	`lower-fma.f32`
2 762×	`lower-*.f64`
2 762×	`lower-*.f32`
1 628×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	143	1164
1	405	1142
2	980	1138
3	2372	1118
4	5990	1118
0	8169	1022

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

Inputs
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
3
(+ 3 (* -2 x))
(+ 3 (* -2 x))
(+ 3 (* -2 x))
(* -2 x)
(* x (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 2))
(* -2 x)
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* 3 x)
(* x (+ 3 (* -2 x)))
(* x (+ 3 (* -2 x)))
(* x (+ 3 (* -2 x)))
(* -2 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
1/3
(+ 1/3 (* 2/9 x))
(+ 1/3 (* x (+ 2/9 (* 4/27 x))))
(+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x))))))
(/ -1/2 x)
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) x)
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) x)
(/ -1/2 x)
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) x))
(* -1 (/ (+ 1/2 (+ (* 3/4 (/ 1 x)) (/ 9/8 (pow x 2)))) x))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) x)) 3/4) x))) x))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* -2/9 x)))
(* (pow x 2) (+ 1/3 (* x (- (* 4/27 x) 2/9))))
(* (pow x 2) (+ 1/3 (* x (- (* x (+ 4/27 (* -8/81 x))) 2/9))))
(* 1/2 x)
(* x (- 1/2 (* 3/4 (/ 1 x))))
(* x (- (+ 1/2 (/ 9/8 (pow x 2))) (* 3/4 (/ 1 x))))
(* x (- (+ 1/2 (/ 9/8 (pow x 2))) (+ (* 3/4 (/ 1 x)) (* 27/16 (/ 1 (pow x 3))))))
(* 1/2 x)
(* -1 (* x (- (* 3/4 (/ 1 x)) 1/2)))
(* -1 (* x (- (* -1 (/ (- (* 9/8 (/ 1 x)) 3/4) x)) 1/2)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 27/16 (/ 1 x)) 9/8) x)) 3/4) x)) 1/2)))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
9
(+ 9 (* -4 (pow x 2)))
(+ 9 (* -4 (pow x 2)))
(+ 9 (* -4 (pow x 2)))
(* -4 (pow x 2))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(* -4 (pow x 2))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
1/3
(+ 1/3 (* -2/9 x))
(+ 1/3 (* x (- (* 4/27 x) 2/9)))
(+ 1/3 (* x (- (* x (+ 4/27 (* -8/81 x))) 2/9)))
(/ 1/2 x)
(/ (- 1/2 (* 3/4 (/ 1 x))) x)
(/ (- (+ 1/2 (/ 9/8 (pow x 2))) (* 3/4 (/ 1 x))) x)
(/ (- (+ 1/2 (/ 9/8 (pow x 2))) (+ (* 3/4 (/ 1 x)) (* 27/16 (/ 1 (pow x 3))))) x)
(/ 1/2 x)
(* -1 (/ (- (* 3/4 (/ 1 x)) 1/2) x))
(* -1 (/ (- (* -1 (/ (- (* 9/8 (/ 1 x)) 3/4) x)) 1/2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27/16 (/ 1 x)) 9/8) x)) 3/4) x)) 1/2) x))

Outputs
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -2 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -2 binary64)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -2 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
3
#s(literal 3 binary64)
(+ 3 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(+ 3 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(+ 3 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -2 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -2 binary64)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -2 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -2 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -2 binary64)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -2 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (* -2 x)))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* x (+ 3 (* -2 x)))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* x (+ 3 (* -2 x)))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -2 (pow x 2))
(.f64 (.f64 x x) #s(literal -2 binary64))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -2 (pow x 2))
(.f64 (.f64 x x) #s(literal -2 binary64))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -2 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -2 binary64)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -2 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 2/9 x))
(fma.f64 x #s(literal 2/9 binary64) #s(literal 1/3 binary64))
(+ 1/3 (* x (+ 2/9 (* 4/27 x))))
(fma.f64 x (fma.f64 x #s(literal 4/27 binary64) #s(literal 2/9 binary64)) #s(literal 1/3 binary64))
(+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 8/81 binary64) #s(literal 4/27 binary64)) #s(literal 2/9 binary64)) #s(literal 1/3 binary64))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -3/4 binary64) x)) x)
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) x)
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 9/8 binary64) x)) x)) x)
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) x)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 (+.f64 #s(literal 9/8 binary64) (/.f64 #s(literal 27/16 binary64) x)) x)) x)) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -3/4 binary64) x)) x)
(* -1 (/ (+ 1/2 (+ (* 3/4 (/ 1 x)) (/ 9/8 (pow x 2)))) x))
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 9/8 binary64) x)) x)) x)
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) x)) 3/4) x))) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 (+.f64 #s(literal 9/8 binary64) (/.f64 #s(literal 27/16 binary64) x)) x)) x)) x)
(* 1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/3 (* -2/9 x)))
(.f64 x (.f64 x (fma.f64 x #s(literal -2/9 binary64) #s(literal 1/3 binary64))))
(* (pow x 2) (+ 1/3 (* x (- (* 4/27 x) 2/9))))
(.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 4/27 binary64) #s(literal -2/9 binary64)) #s(literal 1/3 binary64))))
(* (pow x 2) (+ 1/3 (* x (- (* x (+ 4/27 (* -8/81 x))) 2/9))))
(.f64 (.f64 x x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -8/81 binary64) #s(literal 4/27 binary64)) #s(literal -2/9 binary64)) #s(literal 1/3 binary64)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (- 1/2 (* 3/4 (/ 1 x))))
(fma.f64 x #s(literal 1/2 binary64) #s(literal -3/4 binary64))
(* x (- (+ 1/2 (/ 9/8 (pow x 2))) (* 3/4 (/ 1 x))))
(+.f64 (/.f64 #s(literal 9/8 binary64) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal -3/4 binary64)))
(* x (- (+ 1/2 (/ 9/8 (pow x 2))) (+ (* 3/4 (/ 1 x)) (* 27/16 (/ 1 (pow x 3))))))
(fma.f64 x #s(literal 1/2 binary64) (+.f64 (/.f64 (+.f64 #s(literal 9/8 binary64) (/.f64 #s(literal -27/16 binary64) x)) x) #s(literal -3/4 binary64)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* -1 (* x (- (* 3/4 (/ 1 x)) 1/2)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal -3/4 binary64))
(* -1 (* x (- (* -1 (/ (- (* 9/8 (/ 1 x)) 3/4) x)) 1/2)))
(+.f64 (/.f64 #s(literal 9/8 binary64) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal -3/4 binary64)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 27/16 (/ 1 x)) 9/8) x)) 3/4) x)) 1/2)))
(fma.f64 x #s(literal 1/2 binary64) (+.f64 (/.f64 (+.f64 #s(literal 9/8 binary64) (/.f64 #s(literal -27/16 binary64) x)) x) #s(literal -3/4 binary64)))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -2 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -2 binary64)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -2 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
9
#s(literal 9 binary64)
(+ 9 (* -4 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -4 binary64)) #s(literal 9 binary64))
(+ 9 (* -4 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -4 binary64)) #s(literal 9 binary64))
(+ 9 (* -4 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -4 binary64)) #s(literal 9 binary64))
(* -4 (pow x 2))
(.f64 (.f64 x x) #s(literal -4 binary64))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(fma.f64 x (*.f64 x #s(literal -4 binary64)) #s(literal 9 binary64))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(fma.f64 x (*.f64 x #s(literal -4 binary64)) #s(literal 9 binary64))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(fma.f64 x (*.f64 x #s(literal -4 binary64)) #s(literal 9 binary64))
(* -4 (pow x 2))
(.f64 (.f64 x x) #s(literal -4 binary64))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(fma.f64 x (*.f64 x #s(literal -4 binary64)) #s(literal 9 binary64))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(fma.f64 x (*.f64 x #s(literal -4 binary64)) #s(literal 9 binary64))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(fma.f64 x (*.f64 x #s(literal -4 binary64)) #s(literal 9 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* -2/9 x))
(fma.f64 x #s(literal -2/9 binary64) #s(literal 1/3 binary64))
(+ 1/3 (* x (- (* 4/27 x) 2/9)))
(fma.f64 x (fma.f64 x #s(literal 4/27 binary64) #s(literal -2/9 binary64)) #s(literal 1/3 binary64))
(+ 1/3 (* x (- (* x (+ 4/27 (* -8/81 x))) 2/9)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -8/81 binary64) #s(literal 4/27 binary64)) #s(literal -2/9 binary64)) #s(literal 1/3 binary64))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (- 1/2 (* 3/4 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -3/4 binary64) x)) x)
(/ (- (+ 1/2 (/ 9/8 (pow x 2))) (* 3/4 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 9/8 binary64) x) #s(literal -3/4 binary64)) x)) x)
(/ (- (+ 1/2 (/ 9/8 (pow x 2))) (+ (* 3/4 (/ 1 x)) (* 27/16 (/ 1 (pow x 3))))) x)
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 27/16 binary64) x) #s(literal -9/8 binary64)) x)) x)) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(* -1 (/ (- (* 3/4 (/ 1 x)) 1/2) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -3/4 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 9/8 (/ 1 x)) 3/4) x)) 1/2) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 9/8 binary64) x) #s(literal -3/4 binary64)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27/16 (/ 1 x)) 9/8) x)) 3/4) x)) 1/2) x))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 27/16 binary64) x) #s(literal -9/8 binary64)) x)) x)) x)

rewrite524.0ms (5.9%)

Memory

-8.9MiB live, 559.4MiB allocated

Rules

8 234×	`lower-fma.f32`
8 228×	`lower-fma.f64`
5 222×	`lower-*.f32`
5 206×	`lower-*.f64`
3 362×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	107
0	42	96
1	152	93
2	971	93
0	9029	93

Stop Event

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

Counts

14 → 2 105

Calls

Call 1

Inputs
(.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 x x))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(*.f64 x x)
#s(approx (* (* x x) (- 3 (* x 2))) (.f64 x (.f64 x #s(literal 3 binary64))))
(.f64 x (.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
(.f64 (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (.f64 x x))
(.f64 (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (.f64 x x)))
(fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))

Outputs
(+.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) (.f64 x (.f64 #s(literal -2 binary64) (*.f64 x x))))
(+.f64 (.f64 (/.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (.f64 x #s(literal 9 binary64))) (.f64 (/.f64 (.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (.f64 x (.f64 x #s(literal -4 binary64)))))
(+.f64 (.f64 (/.f64 (.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (.f64 x (.f64 x #s(literal -4 binary64)))) (.f64 (/.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (.f64 x #s(literal 9 binary64))))
(+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -4 binary64)))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))
(+.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -4 binary64)))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))
(+.f64 (.f64 x (.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 #s(literal 3 binary64) (*.f64 x x)))
(+.f64 (.f64 x (.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 (*.f64 x (neg.f64 x)) #s(literal -3 binary64)))
(+.f64 (.f64 (.f64 x (neg.f64 x)) #s(literal -3 binary64)) (.f64 x (.f64 #s(literal -2 binary64) (*.f64 x x))))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 x (neg.f64 x))) (.f64 (.f64 x #s(literal 2 binary64)) (*.f64 x (neg.f64 x))))
(+.f64 (.f64 (.f64 x #s(literal 2 binary64)) (.f64 x (neg.f64 x))) (.f64 #s(literal -3 binary64) (*.f64 x (neg.f64 x))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))) (.f64 x (.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))))
(fma.f64 x (.f64 x #s(literal 3 binary64)) (.f64 x (.f64 #s(literal -2 binary64) (.f64 x x))))
(fma.f64 x (.f64 #s(literal -2 binary64) (.f64 x x)) (.f64 #s(literal 3 binary64) (.f64 x x)))
(fma.f64 x (.f64 #s(literal -2 binary64) (.f64 x x)) (.f64 (.f64 x (neg.f64 x)) #s(literal -3 binary64)))
(fma.f64 x (.f64 (/.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (.f64 x (.f64 x #s(literal -4 binary64)))) (.f64 (/.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (*.f64 x #s(literal 9 binary64))))
(fma.f64 x (.f64 (.f64 x #s(literal -4 binary64)) (/.f64 (.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) (/.f64 (.f64 (*.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))
(fma.f64 x (.f64 (/.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) #s(literal 9 binary64)) (.f64 (/.f64 (.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (.f64 x (*.f64 x #s(literal -4 binary64)))))
(fma.f64 #s(literal -2 binary64) (.f64 x (.f64 x x)) (.f64 #s(literal 3 binary64) (.f64 x x)))
(fma.f64 #s(literal -2 binary64) (.f64 x (.f64 x x)) (.f64 (.f64 x (neg.f64 x)) #s(literal -3 binary64)))
(fma.f64 #s(literal 3 binary64) (.f64 x x) (.f64 x (.f64 #s(literal -2 binary64) (.f64 x x))))
(fma.f64 (.f64 x x) #s(literal 3 binary64) (.f64 x (.f64 #s(literal -2 binary64) (.f64 x x))))
(fma.f64 (.f64 x x) (.f64 x #s(literal -2 binary64)) (.f64 #s(literal 3 binary64) (.f64 x x)))
(fma.f64 (.f64 x x) (.f64 x #s(literal -2 binary64)) (.f64 (.f64 x (neg.f64 x)) #s(literal -3 binary64)))
(fma.f64 (.f64 x x) (/.f64 (.f64 x (.f64 x #s(literal -4 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (/.f64 (.f64 (*.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))
(fma.f64 (.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) #s(literal 9 binary64)) (.f64 (/.f64 (.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (.f64 x (.f64 x #s(literal -4 binary64)))))
(fma.f64 (.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (.f64 x (.f64 x #s(literal -4 binary64)))) (.f64 (/.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (.f64 x #s(literal 9 binary64))))
(fma.f64 (.f64 x x) (.f64 #s(literal 1 binary64) (.f64 x #s(literal -2 binary64))) (.f64 #s(literal 3 binary64) (*.f64 x x)))
(fma.f64 (.f64 x x) (.f64 #s(literal 1 binary64) (.f64 x #s(literal -2 binary64))) (.f64 (*.f64 x (neg.f64 x)) #s(literal -3 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 (neg.f64 x) (.f64 x x)) (.f64 #s(literal 3 binary64) (.f64 x x)))
(fma.f64 #s(literal 2 binary64) (.f64 (neg.f64 x) (.f64 x x)) (.f64 (.f64 x (neg.f64 x)) #s(literal -3 binary64)))
(fma.f64 (.f64 x #s(literal 2 binary64)) (.f64 x (neg.f64 x)) (.f64 #s(literal -3 binary64) (.f64 x (neg.f64 x))))
(fma.f64 (.f64 x #s(literal 3 binary64)) x (.f64 x (.f64 #s(literal -2 binary64) (.f64 x x))))
(fma.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal 1 binary64) (.f64 x (.f64 #s(literal -2 binary64) (*.f64 x x))))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 x x)) (.f64 x (.f64 #s(literal -2 binary64) (*.f64 x x))))
(fma.f64 #s(literal 1 binary64) (.f64 (/.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (.f64 x #s(literal 9 binary64))) (.f64 (/.f64 (.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (.f64 x (.f64 x #s(literal -4 binary64)))))
(fma.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (.f64 x (.f64 x #s(literal -4 binary64)))) (.f64 (/.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (.f64 x #s(literal 9 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 #s(literal 3 binary64) (*.f64 x x)))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 (*.f64 x (neg.f64 x)) #s(literal -3 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 (/.f64 (.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (.f64 x (.f64 x #s(literal -4 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -4 binary64)))) (.f64 (/.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (.f64 x #s(literal 9 binary64))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) #s(literal 9 binary64) (.f64 (/.f64 (.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (.f64 x (*.f64 x #s(literal -4 binary64)))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (.f64 x (.f64 x #s(literal -4 binary64))) (.f64 (/.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (*.f64 x #s(literal 9 binary64))))
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(*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64) #s(literal -27 binary64))) (+.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) (*.f64 x #s(literal -6 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64) #s(literal -27 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) (*.f64 x #s(literal -6 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64) #s(literal -27 binary64))) (.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) (.f64 x #s(literal -6 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal -1/2 binary64))) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal -1/2 binary64)))

eval409.0ms (4.6%)

Memory: 22.9MiB live, 718.9MiB allocated
Compiler: Compiled 70 808 to 3 706 computations (94.8% saved)

prune264.0ms (3%)

Memory

12.0MiB live, 498.0MiB allocated

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	2 830	8	2 838
Fresh	5	5	10
Picked	2	3	5
Done	0	0	0
Total	2 837	16	2 853

Accuracy

100.0%

Counts

2 853 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	87.7%	(fma.f64 (.f64 x x) #s(literal 3 binary64) (.f64 x (.f64 x (.f64 x #s(literal -2 binary64)))))
▶	99.4%	(/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
	72.4%	(/.f64 (.f64 x x) #s(approx (/ 1 (+ ( x -2) 3)) (/.f64 #s(literal -1/2 binary64) x)))
	63.8%	(/.f64 (.f64 x x) #s(approx (/ 1 (+ ( x -2) 3)) #s(literal 1/3 binary64)))
	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))))
▶	68.7%	(.f64 (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (.f64 #s(approx (/ 1 (+ ( x 2) 3)) #s(literal 1/3 binary64)) (*.f64 x x)))
▶	99.8%	(.f64 (fma.f64 x #s(literal 3 binary64) (.f64 #s(literal -2 binary64) (*.f64 x x))) x)
✓	99.9%	(.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 x x))
▶	97.2%	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (.f64 x x)))
	99.7%	(.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) x)) x)
✓	99.8%	(.f64 (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
	72.4%	(.f64 (.f64 x #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64)))) x)
	76.5%	(.f64 (.f64 x x) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))))))
	63.6%	(.f64 (.f64 x x) (.f64 (-.f64 (.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) (.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))))))
▶	63.9%	(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
✓	63.8%	#s(approx (* (* x x) (- 3 (* x 2))) (.f64 x (.f64 x #s(literal 3 binary64))))

Compiler

Compiled 443 to 248 computations (44% saved)

simplify190.0ms (2.1%)

Memory

-11.1MiB live, 261.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (*.f64 x x))
cost-diff	0	(fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (.f64 x x)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 x x))
cost-diff	0	(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
cost-diff	1088	(/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
cost-diff	0	(.f64 #s(approx (/ 1 (+ ( x 2) 3)) #s(literal 1/3 binary64)) (*.f64 x x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (.f64 #s(approx (/ 1 (+ ( x 2) 3)) #s(literal 1/3 binary64)) (*.f64 x x)))
cost-diff	0	#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 #s(literal -2 binary64) (.f64 x x))
cost-diff	0	(.f64 (fma.f64 x #s(literal 3 binary64) (.f64 #s(literal -2 binary64) (*.f64 x x))) x)
cost-diff	320	(fma.f64 x #s(literal 3 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))

Rules

4 324×	`lower-fma.f32`
4 316×	`lower-fma.f64`
2 964×	`lower-neg.f32`
2 964×	`lower-neg.f64`
2 876×	`lower-*.f32`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	29	182
0	47	183
1	89	172
2	185	172
3	494	172
4	1186	172
5	1686	172
6	2060	172
7	2613	172
8	3143	172
9	3661	171
10	4874	171
0	8231	171

Stop Event

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

Calls

Call 1

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

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

localize104.0ms (1.2%)

Memory

7.8MiB live, 122.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0.13900375976844204	(.f64 (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (*.f64 x x))
accuracy	1.745175961088075	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (.f64 x x)))
accuracy	0	(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.3535115511094936	(/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
accuracy	0.5632599100061572	(/.f64 #s(literal 1 binary64) (*.f64 x x))
accuracy	0	(*.f64 x x)
accuracy	0.10775375976844202	(.f64 (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (.f64 #s(approx (/ 1 (+ ( x 2) 3)) #s(literal 1/3 binary64)) (*.f64 x x)))
accuracy	14.145266624091366	(.f64 #s(approx (/ 1 (+ ( x 2) 3)) #s(literal 1/3 binary64)) (*.f64 x x))
accuracy	29.711406451822604	#s(approx (/ 1 (+ (* x 2) 3)) #s(literal 1/3 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.08203125	(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
accuracy	29.99887208621725	#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
accuracy	0	(*.f64 x x)
accuracy	0	(.f64 #s(literal -2 binary64) (.f64 x x))
accuracy	0.05078125	(fma.f64 x #s(literal 3 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))
accuracy	0.11328125	(.f64 (fma.f64 x #s(literal 3 binary64) (.f64 #s(literal -2 binary64) (*.f64 x x))) x)

Samples

45.0ms	232×	0	valid
4.0ms	11×	2	valid
4.0ms	13×	1	valid

Compiler

Compiled 189 to 30 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 18.0ms (51.3% of total)

ival-div: 5.0ms (14.2% of total)

ival-add: 5.0ms (14.2% of total)

const: 3.0ms (8.5% of total)

adjust: 1.0ms (2.8% of total)

ival-sub: 1.0ms (2.8% of total)

exact: 1.0ms (2.8% of total)

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

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

series9.0ms (0.1%)

Memory

17.8MiB live, 17.8MiB allocated

Counts

17 → 204

Calls

Call 1

Inputs
#s(alt (fma.f64 x #s(literal 3 binary64) (.f64 #s(literal -2 binary64) (.f64 x x))) (patch (fma.f64 x #s(literal 3 binary64) (.f64 #s(literal -2 binary64) (.f64 x x))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 x #s(literal 3 binary64) (.f64 #s(literal -2 binary64) (.f64 x x))) x) (patch (.f64 (fma.f64 x #s(literal 3 binary64) (.f64 #s(literal -2 binary64) (.f64 x x))) x) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -2 binary64) (.f64 x x)) (patch (.f64 #s(literal -2 binary64) (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) (patch (.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) (patch #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (.f64 #s(approx (/ 1 (+ ( x 2) 3)) #s(literal 1/3 binary64)) (.f64 x x))) (patch (.f64 (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (.f64 #s(approx (/ 1 (+ (* x 2) 3)) #s(literal 1/3 binary64)) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (patch (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (/ 1 (+ ( x 2) 3)) #s(literal 1/3 binary64)) (.f64 x x)) (patch (.f64 #s(approx (/ 1 (+ (* x 2) 3)) #s(literal 1/3 binary64)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (patch (/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x))) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (patch (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (.f64 x x))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (.f64 x x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) (patch (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (.f64 x x)) (patch (.f64 (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (.f64 x x)) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ (* x 2) 3)) #s(literal 1/3 binary64)) (patch #s(approx (/ 1 (+ (* x 2) 3)) #s(literal 1/3 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* 3 x) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 3 binary64) (.f64 #s(literal -2 binary64) (.f64 x x))) (patch (fma.f64 x #s(literal 3 binary64) (.f64 #s(literal -2 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 3 binary64) (.f64 #s(literal -2 binary64) (.f64 x x))) (patch (fma.f64 x #s(literal 3 binary64) (.f64 #s(literal -2 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 3 binary64) (.f64 #s(literal -2 binary64) (.f64 x x))) (patch (fma.f64 x #s(literal 3 binary64) (.f64 #s(literal -2 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 3 binary64) (.f64 #s(literal -2 binary64) (.f64 x x))) (patch (fma.f64 x #s(literal 3 binary64) (.f64 #s(literal -2 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -2 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 x #s(literal 3 binary64) (.f64 #s(literal -2 binary64) (.f64 x x))) (patch (fma.f64 x #s(literal 3 binary64) (.f64 #s(literal -2 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 3 (/ 1 x)) 2)) (taylor inf x) (#s(alt (fma.f64 x #s(literal 3 binary64) (.f64 #s(literal -2 binary64) (.f64 x x))) (patch (fma.f64 x #s(literal 3 binary64) (.f64 #s(literal -2 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (.f64 x x))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt 1/3 (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 (* -2/9 x)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 (* x (- (* 4/27 x) 2/9))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 (* x (- (* x (+ 4/27 (* -8/81 x))) 2/9))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1/2 (* 3/4 (/ 1 x))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1/2 (/ 9/8 (pow x 2))) (* 3/4 (/ 1 x))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1/2 (/ 9/8 (pow x 2))) (+ (* 3/4 (/ 1 x)) (* 27/16 (/ 1 (pow x 3))))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 3/4 (/ 1 x)) 1/2) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 9/8 (/ 1 x)) 3/4) x)) 1/2) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27/16 (/ 1 x)) 9/8) x)) 3/4) x)) 1/2) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt 3 (taylor 0 x) (#s(alt (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) (patch (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* 2 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) (patch (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* 2 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) (patch (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* 2 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) (patch (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) (patch (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 3 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) (patch (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 3 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) (patch (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 3 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) (patch (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) (patch (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 3 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) (patch (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 3 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) (patch (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 3 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) (patch (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (.f64 x x)) (patch (.f64 (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 9 (* -4 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (.f64 x x)) (patch (.f64 (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 9 (* -4 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (.f64 x x)) (patch (.f64 (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 9 (* -4 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (.f64 x x)) (patch (.f64 (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -4 (pow x 4)) (taylor inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (.f64 x x)) (patch (.f64 (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4)) (taylor inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (.f64 x x)) (patch (.f64 (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4)) (taylor inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (.f64 x x)) (patch (.f64 (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4)) (taylor inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (.f64 x x)) (patch (.f64 (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -4 (pow x 4)) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (.f64 x x)) (patch (.f64 (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4)) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (.f64 x x)) (patch (.f64 (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4)) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (.f64 x x)) (patch (.f64 (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4)) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (.f64 x x)) (patch (.f64 (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt 1/3 (taylor 0 x) (#s(alt #s(approx (/ 1 (+ (* x 2) 3)) #s(literal 1/3 binary64)) (patch #s(approx (/ 1 (+ (* x 2) 3)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 (* -2/9 x)) (taylor 0 x) (#s(alt #s(approx (/ 1 (+ (* x 2) 3)) #s(literal 1/3 binary64)) (patch #s(approx (/ 1 (+ (* x 2) 3)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 (* x (- (* 4/27 x) 2/9))) (taylor 0 x) (#s(alt #s(approx (/ 1 (+ (* x 2) 3)) #s(literal 1/3 binary64)) (patch #s(approx (/ 1 (+ (* x 2) 3)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 (* x (- (* x (+ 4/27 (* -8/81 x))) 2/9))) (taylor 0 x) (#s(alt #s(approx (/ 1 (+ (* x 2) 3)) #s(literal 1/3 binary64)) (patch #s(approx (/ 1 (+ (* x 2) 3)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 x) (taylor inf x) (#s(alt #s(approx (/ 1 (+ (* x 2) 3)) #s(literal 1/3 binary64)) (patch #s(approx (/ 1 (+ (* x 2) 3)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1/2 (* 3/4 (/ 1 x))) x) (taylor inf x) (#s(alt #s(approx (/ 1 (+ (* x 2) 3)) #s(literal 1/3 binary64)) (patch #s(approx (/ 1 (+ (* x 2) 3)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1/2 (/ 9/8 (pow x 2))) (* 3/4 (/ 1 x))) x) (taylor inf x) (#s(alt #s(approx (/ 1 (+ (* x 2) 3)) #s(literal 1/3 binary64)) (patch #s(approx (/ 1 (+ (* x 2) 3)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1/2 (/ 9/8 (pow x 2))) (+ (* 3/4 (/ 1 x)) (* 27/16 (/ 1 (pow x 3))))) x) (taylor inf x) (#s(alt #s(approx (/ 1 (+ (* x 2) 3)) #s(literal 1/3 binary64)) (patch #s(approx (/ 1 (+ (* x 2) 3)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 x) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* x 2) 3)) #s(literal 1/3 binary64)) (patch #s(approx (/ 1 (+ (* x 2) 3)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 3/4 (/ 1 x)) 1/2) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* x 2) 3)) #s(literal 1/3 binary64)) (patch #s(approx (/ 1 (+ (* x 2) 3)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 9/8 (/ 1 x)) 3/4) x)) 1/2) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* x 2) 3)) #s(literal 1/3 binary64)) (patch #s(approx (/ 1 (+ (* x 2) 3)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27/16 (/ 1 x)) 9/8) x)) 3/4) x)) 1/2) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* x 2) 3)) #s(literal 1/3 binary64)) (patch #s(approx (/ 1 (+ (* x 2) 3)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())

Calls

51 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(* (+ (* x 3) (* -2 (* x x))) x)
0.0ms	x	@	inf	(+ (* x 3) (* -2 (* x x)))
0.0ms	x	@	inf	(* (+ (* (* x x) -4) 9) (* x x))
0.0ms	x	@	inf	(* -2 (* x x))
0.0ms	x	@	0	(+ (* x 3) (* -2 (* x x)))

simplify210.0ms (2.4%)

Memory

-15.1MiB live, 251.6MiB allocated

Algorithm

1×	egg-herbie

Rules

9 076×	`lower-fma.f64`
9 076×	`lower-fma.f32`
3 266×	`lower-*.f64`
3 266×	`lower-*.f32`
1 662×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	1408
1	321	1384
2	772	1380
3	1932	1360
4	4877	1360
0	8078	1237

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
(* 3 x)
(* x (+ 3 (* -2 x)))
(* x (+ 3 (* -2 x)))
(* x (+ 3 (* -2 x)))
(* -2 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
3
(+ 3 (* -2 x))
(+ 3 (* -2 x))
(+ 3 (* -2 x))
(* -2 x)
(* x (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 2))
(* -2 x)
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
9
(+ 9 (* -4 (pow x 2)))
(+ 9 (* -4 (pow x 2)))
(+ 9 (* -4 (pow x 2)))
(* -4 (pow x 2))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(* -4 (pow x 2))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* -2/9 x)))
(* (pow x 2) (+ 1/3 (* x (- (* 4/27 x) 2/9))))
(* (pow x 2) (+ 1/3 (* x (- (* x (+ 4/27 (* -8/81 x))) 2/9))))
(* 1/2 x)
(* x (- 1/2 (* 3/4 (/ 1 x))))
(* x (- (+ 1/2 (/ 9/8 (pow x 2))) (* 3/4 (/ 1 x))))
(* x (- (+ 1/2 (/ 9/8 (pow x 2))) (+ (* 3/4 (/ 1 x)) (* 27/16 (/ 1 (pow x 3))))))
(* 1/2 x)
(* -1 (* x (- (* 3/4 (/ 1 x)) 1/2)))
(* -1 (* x (- (* -1 (/ (- (* 9/8 (/ 1 x)) 3/4) x)) 1/2)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 27/16 (/ 1 x)) 9/8) x)) 3/4) x)) 1/2)))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
3
(+ 3 (* -2 x))
(+ 3 (* -2 x))
(+ 3 (* -2 x))
(* -2 x)
(* x (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 2))
(* -2 x)
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
1/3
(+ 1/3 (* -2/9 x))
(+ 1/3 (* x (- (* 4/27 x) 2/9)))
(+ 1/3 (* x (- (* x (+ 4/27 (* -8/81 x))) 2/9)))
(/ 1/2 x)
(/ (- 1/2 (* 3/4 (/ 1 x))) x)
(/ (- (+ 1/2 (/ 9/8 (pow x 2))) (* 3/4 (/ 1 x))) x)
(/ (- (+ 1/2 (/ 9/8 (pow x 2))) (+ (* 3/4 (/ 1 x)) (* 27/16 (/ 1 (pow x 3))))) x)
(/ 1/2 x)
(* -1 (/ (- (* 3/4 (/ 1 x)) 1/2) x))
(* -1 (/ (- (* -1 (/ (- (* 9/8 (/ 1 x)) 3/4) x)) 1/2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27/16 (/ 1 x)) 9/8) x)) 3/4) x)) 1/2) x))
3
(+ 3 (* 2 x))
(+ 3 (* 2 x))
(+ 3 (* 2 x))
(* 2 x)
(* x (+ 2 (* 3 (/ 1 x))))
(* x (+ 2 (* 3 (/ 1 x))))
(* x (+ 2 (* 3 (/ 1 x))))
(* 2 x)
(* x (+ 2 (* 3 (/ 1 x))))
(* x (+ 2 (* 3 (/ 1 x))))
(* x (+ 2 (* 3 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (+ 9 (* -4 (pow x 2))))
(* (pow x 2) (+ 9 (* -4 (pow x 2))))
(* (pow x 2) (+ 9 (* -4 (pow x 2))))
(* -4 (pow x 4))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(* -4 (pow x 4))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
1/3
(+ 1/3 (* -2/9 x))
(+ 1/3 (* x (- (* 4/27 x) 2/9)))
(+ 1/3 (* x (- (* x (+ 4/27 (* -8/81 x))) 2/9)))
(/ 1/2 x)
(/ (- 1/2 (* 3/4 (/ 1 x))) x)
(/ (- (+ 1/2 (/ 9/8 (pow x 2))) (* 3/4 (/ 1 x))) x)
(/ (- (+ 1/2 (/ 9/8 (pow x 2))) (+ (* 3/4 (/ 1 x)) (* 27/16 (/ 1 (pow x 3))))) x)
(/ 1/2 x)
(* -1 (/ (- (* 3/4 (/ 1 x)) 1/2) x))
(* -1 (/ (- (* -1 (/ (- (* 9/8 (/ 1 x)) 3/4) x)) 1/2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27/16 (/ 1 x)) 9/8) x)) 3/4) x)) 1/2) x))

Outputs
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (* -2 x)))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* x (+ 3 (* -2 x)))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* x (+ 3 (* -2 x)))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -2 (pow x 2))
(.f64 x (.f64 x #s(literal -2 binary64)))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -2 (pow x 2))
(.f64 x (.f64 x #s(literal -2 binary64)))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 x (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 x (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 x (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -2 (pow x 3))
(.f64 #s(literal -2 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 x (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 x (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 x (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -2 (pow x 3))
(.f64 #s(literal -2 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(.f64 x (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(.f64 x (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(.f64 x (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -2 (pow x 2))
(.f64 x (.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(.f64 x (.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(.f64 x (.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(.f64 x (.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(.f64 x (.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(.f64 x (.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(.f64 x (.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(.f64 x (.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(.f64 x (.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(.f64 x (.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(.f64 x (.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(.f64 x (.f64 x #s(literal -2 binary64)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 x (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 x (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 x (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -2 (pow x 3))
(.f64 #s(literal -2 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 x (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 x (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 x (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -2 (pow x 3))
(.f64 #s(literal -2 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(.f64 x (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(.f64 x (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(.f64 x (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
3
#s(literal 3 binary64)
(+ 3 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(+ 3 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(+ 3 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 x (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 x (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 x (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -2 (pow x 3))
(.f64 #s(literal -2 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 x (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 x (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 x (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -2 (pow x 3))
(.f64 #s(literal -2 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(.f64 x (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(.f64 x (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(.f64 x (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
9
#s(literal 9 binary64)
(+ 9 (* -4 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))
(+ 9 (* -4 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))
(+ 9 (* -4 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))
(* -4 (pow x 2))
(.f64 x (.f64 x #s(literal -4 binary64)))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))
(* -4 (pow x 2))
(.f64 x (.f64 x #s(literal -4 binary64)))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* (pow x 2) (+ 1/3 (* -2/9 x)))
(.f64 x (.f64 x (fma.f64 x #s(literal -2/9 binary64) #s(literal 1/3 binary64))))
(* (pow x 2) (+ 1/3 (* x (- (* 4/27 x) 2/9))))
(.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 4/27 binary64) #s(literal -2/9 binary64)) #s(literal 1/3 binary64))))
(* (pow x 2) (+ 1/3 (* x (- (* x (+ 4/27 (* -8/81 x))) 2/9))))
(.f64 x (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -8/81 binary64) #s(literal 4/27 binary64)) #s(literal -2/9 binary64)) #s(literal 1/3 binary64))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (- 1/2 (* 3/4 (/ 1 x))))
(fma.f64 x #s(literal 1/2 binary64) #s(literal -3/4 binary64))
(* x (- (+ 1/2 (/ 9/8 (pow x 2))) (* 3/4 (/ 1 x))))
(+.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -3/4 binary64)) (/.f64 #s(literal 9/8 binary64) x))
(* x (- (+ 1/2 (/ 9/8 (pow x 2))) (+ (* 3/4 (/ 1 x)) (* 27/16 (/ 1 (pow x 3))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 #s(literal 9/8 binary64) x #s(literal -27/16 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -3/4 binary64)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* -1 (* x (- (* 3/4 (/ 1 x)) 1/2)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal -3/4 binary64))
(* -1 (* x (- (* -1 (/ (- (* 9/8 (/ 1 x)) 3/4) x)) 1/2)))
(+.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -3/4 binary64)) (/.f64 #s(literal 9/8 binary64) x))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 27/16 (/ 1 x)) 9/8) x)) 3/4) x)) 1/2)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 #s(literal 9/8 binary64) x #s(literal -27/16 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -3/4 binary64)))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 x (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 x (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 x (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -2 (pow x 3))
(.f64 #s(literal -2 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 x (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 x (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 x (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -2 (pow x 3))
(.f64 #s(literal -2 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(.f64 x (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(.f64 x (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(.f64 x (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
3
#s(literal 3 binary64)
(+ 3 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(+ 3 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(+ 3 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 x (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 x (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 x (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -2 (pow x 3))
(.f64 #s(literal -2 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 x (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 x (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 x (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -2 (pow x 3))
(.f64 #s(literal -2 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(.f64 x (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(.f64 x (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(.f64 x (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* -2/9 x))
(fma.f64 x #s(literal -2/9 binary64) #s(literal 1/3 binary64))
(+ 1/3 (* x (- (* 4/27 x) 2/9)))
(fma.f64 x (fma.f64 x #s(literal 4/27 binary64) #s(literal -2/9 binary64)) #s(literal 1/3 binary64))
(+ 1/3 (* x (- (* x (+ 4/27 (* -8/81 x))) 2/9)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -8/81 binary64) #s(literal 4/27 binary64)) #s(literal -2/9 binary64)) #s(literal 1/3 binary64))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (- 1/2 (* 3/4 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -3/4 binary64) x)) x)
(/ (- (+ 1/2 (/ 9/8 (pow x 2))) (* 3/4 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 9/8 binary64) x) #s(literal -3/4 binary64)) x)) x)
(/ (- (+ 1/2 (/ 9/8 (pow x 2))) (+ (* 3/4 (/ 1 x)) (* 27/16 (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 #s(literal 9/8 binary64) x #s(literal -27/16 binary64)) #s(literal -3/4 binary64)) x)) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(* -1 (/ (- (* 3/4 (/ 1 x)) 1/2) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -3/4 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 9/8 (/ 1 x)) 3/4) x)) 1/2) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 9/8 binary64) x) #s(literal -3/4 binary64)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27/16 (/ 1 x)) 9/8) x)) 3/4) x)) 1/2) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 #s(literal 9/8 binary64) x #s(literal -27/16 binary64)) #s(literal -3/4 binary64)) x)) x)
3
#s(literal 3 binary64)
(+ 3 (* 2 x))
(fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))
(+ 3 (* 2 x))
(fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))
(+ 3 (* 2 x))
(fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 3 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))
(* x (+ 2 (* 3 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))
(* x (+ 2 (* 3 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 3 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))
(* x (+ 2 (* 3 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))
(* x (+ 2 (* 3 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 x (.f64 x #s(literal 9 binary64)))
(* (pow x 2) (+ 9 (* -4 (pow x 2))))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)))
(* (pow x 2) (+ 9 (* -4 (pow x 2))))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)))
(* (pow x 2) (+ 9 (* -4 (pow x 2))))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)))
(* -4 (pow x 4))
(.f64 #s(literal -4 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)))
(* -4 (pow x 4))
(.f64 #s(literal -4 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* -2/9 x))
(fma.f64 x #s(literal -2/9 binary64) #s(literal 1/3 binary64))
(+ 1/3 (* x (- (* 4/27 x) 2/9)))
(fma.f64 x (fma.f64 x #s(literal 4/27 binary64) #s(literal -2/9 binary64)) #s(literal 1/3 binary64))
(+ 1/3 (* x (- (* x (+ 4/27 (* -8/81 x))) 2/9)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -8/81 binary64) #s(literal 4/27 binary64)) #s(literal -2/9 binary64)) #s(literal 1/3 binary64))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (- 1/2 (* 3/4 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -3/4 binary64) x)) x)
(/ (- (+ 1/2 (/ 9/8 (pow x 2))) (* 3/4 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 9/8 binary64) x) #s(literal -3/4 binary64)) x)) x)
(/ (- (+ 1/2 (/ 9/8 (pow x 2))) (+ (* 3/4 (/ 1 x)) (* 27/16 (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 #s(literal 9/8 binary64) x #s(literal -27/16 binary64)) #s(literal -3/4 binary64)) x)) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(* -1 (/ (- (* 3/4 (/ 1 x)) 1/2) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -3/4 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 9/8 (/ 1 x)) 3/4) x)) 1/2) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 9/8 binary64) x) #s(literal -3/4 binary64)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27/16 (/ 1 x)) 9/8) x)) 3/4) x)) 1/2) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 #s(literal 9/8 binary64) x #s(literal -27/16 binary64)) #s(literal -3/4 binary64)) x)) x)

rewrite297.0ms (3.3%)

Memory

-18.0MiB live, 444.2MiB allocated

Rules

5 300×	`lower-fma.f32`
5 292×	`lower-fma.f64`
4 358×	`lower-*.f32`
4 342×	`lower-*.f64`
3 658×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	145
0	47	139
1	168	126
2	1128	126
0	9163	126

Stop Event

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

Counts

17 → 1 279

Calls

Call 1

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

Outputs
(+.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) (*.f64 x #s(literal 3 binary64)))
(+.f64 (.f64 x #s(literal 3 binary64)) (.f64 #s(literal -2 binary64) (*.f64 x x)))
(+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))))
(fma.f64 x #s(literal 3 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))
(fma.f64 x (.f64 x #s(literal -2 binary64)) (.f64 x #s(literal 3 binary64)))
(fma.f64 #s(literal 3 binary64) x (.f64 #s(literal -2 binary64) (.f64 x x)))
(fma.f64 #s(literal -2 binary64) (.f64 x x) (.f64 x #s(literal 3 binary64)))
(fma.f64 (.f64 x x) #s(literal -2 binary64) (.f64 x #s(literal 3 binary64)))
(fma.f64 (.f64 x #s(literal -2 binary64)) x (.f64 x #s(literal 3 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
(fma.f64 (/.f64 x x) (/.f64 (.f64 #s(literal 3 binary64) (.f64 x #s(literal 3 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (neg.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
(fma.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 (.f64 x (.f64 x #s(literal 3 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (neg.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
(fma.f64 (/.f64 (.f64 x x) x) (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (neg.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
(fma.f64 (/.f64 #s(literal 9 binary64) x) (/.f64 (.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (neg.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
(fma.f64 (/.f64 (.f64 x #s(literal 3 binary64)) x) (/.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (neg.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
(fma.f64 (/.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) x) (/.f64 #s(literal 3 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (neg.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
(fma.f64 (/.f64 (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) x) (/.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (neg.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
(neg.f64 (/.f64 (fma.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)) (.f64 (.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (.f64 (*.f64 x x) #s(literal 9 binary64))))))
(neg.f64 (/.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -4 binary64)) #s(literal 9 binary64)))) (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)) (.f64 (.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))))) (fma.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (.f64 (*.f64 x x) #s(literal 9 binary64)))))
(neg.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))) (.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 (.f64 x #s(literal 6 binary64)) (.f64 x x)))) (fma.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)) (.f64 (.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))) (.f64 x (*.f64 x x))))))
(/.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -4 binary64)) #s(literal 9 binary64)))) (.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))))
(/.f64 (fma.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)) (.f64 (.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (fma.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (.f64 (*.f64 x x) #s(literal 9 binary64))))
(/.f64 (fma.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)) (.f64 (.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 (.f64 x #s(literal 6 binary64)) (*.f64 x x)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)) (.f64 (.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))))) (neg.f64 (fma.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (.f64 (*.f64 x x) #s(literal 9 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)) (.f64 (.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))))) (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 (.f64 x #s(literal 6 binary64)) (*.f64 x x))))))
(/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))) (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) (.f64 (.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))))) (.f64 (.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 729 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 (.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 64 binary64))))) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 729 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 64 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (fma.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (.f64 (*.f64 x x) #s(literal 9 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 729 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 64 binary64)))) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)) (.f64 (.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (fma.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (.f64 (*.f64 x x) #s(literal 9 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 729 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 64 binary64)))) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 81 binary64) (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64))) (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 x x) #s(literal 36 binary64)) (.f64 (.f64 x x) (.f64 x x))))) (*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -4 binary64)) #s(literal 9 binary64))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64)))) (*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)))) (neg.f64 (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)) (.f64 (.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))))) (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (.f64 (*.f64 x x) #s(literal 9 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) (fma.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))) (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))) (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal -1 binary64))
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(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -4 binary64))) #s(literal 3 binary64)) (.f64 #s(literal 729 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -4 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -4 binary64))) (-.f64 (.f64 #s(literal 81 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -4 binary64))) (.f64 (*.f64 x x) #s(literal 9 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 81 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -4 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -4 binary64))))) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal -4 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -4 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -4 binary64)))) (.f64 #s(literal 81 binary64) (.f64 (.f64 x x) (.f64 x x)))) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -4 binary64))) (.f64 (*.f64 x x) #s(literal 9 binary64))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -4 binary64)) #s(literal 9 binary64))))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -4 binary64)) #s(literal 9 binary64)))
(.f64 (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))
(.f64 (fma.f64 x (.f64 x #s(literal -4 binary64)) #s(literal 9 binary64)) (*.f64 x x))
(.f64 #s(literal 1 binary64) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -4 binary64)) #s(literal 9 binary64)))))
(.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -4 binary64)) #s(literal 9 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal -4 binary64)) #s(literal 9 binary64))) x)
(.f64 (-.f64 (.f64 #s(literal 729 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 64 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 81 binary64) (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64))) (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 x x) #s(literal 36 binary64)) (.f64 (.f64 x x) (*.f64 x x)))))))
(.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -4 binary64)) #s(literal 9 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 4 binary64))))))
(.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -64 binary64)) #s(literal 729 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64)) #s(literal 81 binary64)) (.f64 (*.f64 x x) #s(literal 36 binary64)))))
(.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64)) #s(literal -81 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal -9 binary64))))
(.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -64 binary64)) #s(literal 729 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64)) #s(literal 81 binary64)) (.f64 (*.f64 x x) #s(literal 36 binary64)))))
(.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64)) #s(literal -81 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal -9 binary64))))
#s(approx (/ 1 (+ (* x 2) 3)) #s(literal 1/3 binary64))

eval353.0ms (4%)

Memory: 37.8MiB live, 415.6MiB allocated
Compiler: Compiled 46 356 to 3 347 computations (92.8% saved)

prune262.0ms (3%)

Memory

-26.6MiB live, 424.4MiB allocated

Pruning

16 alts after pruning (11 fresh and 5 done)

	Pruned	Kept	Total
New	1 813	6	1 819
Fresh	3	5	8
Picked	3	2	5
Done	0	3	3
Total	1 819	16	1 835

Accuracy

100.0%

Counts

1 835 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64)))
▶	72.4%	(/.f64 (.f64 x x) #s(approx (/ 1 (+ ( x -2) 3)) (/.f64 #s(literal -1/2 binary64) x)))
▶	63.8%	(/.f64 (.f64 x x) #s(approx (/ 1 (+ ( x -2) 3)) #s(literal 1/3 binary64)))
	72.4%	(/.f64 #s(approx (+ (* x -2) 3) (.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
▶	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))
✓	99.8%	(.f64 (fma.f64 x #s(literal 3 binary64) (.f64 #s(literal -2 binary64) (*.f64 x x))) x)
✓	99.9%	(.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 x x))
	65.4%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64)) #s(literal -81 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))))) (.f64 (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (.f64 x x)))
▶	99.7%	(.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) x)) x)
✓	99.8%	(.f64 (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
	68.7%	(.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -4 binary64)) #s(literal 9 binary64)))) #s(approx (/ 1 (+ (* x 2) 3)) #s(literal 1/3 binary64)))
	72.4%	(.f64 (.f64 x #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64)))) x)
	76.5%	(.f64 (.f64 x x) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))))))
✓	63.9%	(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
▶	63.8%	(.f64 #s(approx (+ ( (* x x) -4) 9) #s(literal 9 binary64)) (.f64 #s(approx (/ 1 (+ ( x 2) 3)) #s(literal 1/3 binary64)) (*.f64 x x)))
✓	63.8%	#s(approx (* (* x x) (- 3 (* x 2))) (.f64 x (.f64 x #s(literal 3 binary64))))

Compiler

Compiled 381 to 225 computations (40.9% saved)

simplify582.0ms (6.5%)

Memory

4.5MiB live, 450.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) x))
cost-diff	0	(.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) x)) x)
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) x)
cost-diff	0	(/.f64 #s(literal -1/2 binary64) x)
cost-diff	0	#s(approx (/ 1 (+ (* x -2) 3)) (/.f64 #s(literal -1/2 binary64) x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 (.f64 x x) #s(approx (/ 1 (+ ( x -2) 3)) (/.f64 #s(literal -1/2 binary64) x)))
cost-diff	0	#s(approx (/ 1 (+ (* x -2) 3)) #s(literal 1/3 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 (.f64 x x) #s(approx (/ 1 (+ ( x -2) 3)) #s(literal 1/3 binary64)))
cost-diff	0	#s(approx (/ 1 (+ (* x 2) 3)) #s(literal 1/3 binary64))
cost-diff	0	(.f64 #s(approx (/ 1 (+ ( x 2) 3)) #s(literal 1/3 binary64)) (*.f64 x x))
cost-diff	0	#s(approx (+ (* (* x x) -4) 9) #s(literal 9 binary64))
cost-diff	0	(.f64 #s(approx (+ ( (* x x) -4) 9) #s(literal 9 binary64)) (.f64 #s(approx (/ 1 (+ ( x 2) 3)) #s(literal 1/3 binary64)) (*.f64 x x)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))

Rules

18 794×	`lower-fma.f32`
18 788×	`lower-fma.f64`
6 688×	`lower-*.f32`
6 674×	`lower-*.f64`
3 740×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	223
0	58	219
1	105	213
2	217	213
3	498	213
4	869	213
5	1208	213
6	1617	213
7	1788	213
8	2016	213
9	2293	211
10	2372	211
11	2735	211
12	2963	211
13	3107	211
14	3371	211
15	3774	211
16	4778	211
17	6589	211
18	7252	211
19	7368	211
20	7471	211
21	7560	211
0	9417	206

Stop Event

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

Calls

Call 1

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

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

localize154.0ms (1.7%)

Memory

13.8MiB live, 211.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.11328125	(.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) x)) x)
accuracy	0.13671875	(.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) x))
accuracy	0.2578125	(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) x)
accuracy	0	(/.f64 #s(literal -1/2 binary64) x)
accuracy	0	(*.f64 x x)
accuracy	0.171875	(/.f64 (.f64 x x) #s(approx (/ 1 (+ ( x -2) 3)) (/.f64 #s(literal -1/2 binary64) x)))
accuracy	32.906540160258416	#s(approx (/ 1 (+ (* x -2) 3)) (/.f64 #s(literal -1/2 binary64) x))
accuracy	0	(*.f64 x x)
accuracy	0.171875	(/.f64 (.f64 x x) #s(approx (/ 1 (+ ( x -2) 3)) #s(literal 1/3 binary64)))
accuracy	29.81172581595194	#s(approx (/ 1 (+ (* x -2) 3)) #s(literal 1/3 binary64))
accuracy	0.10775375976844202	(.f64 #s(approx (+ ( (* x x) -4) 9) #s(literal 9 binary64)) (.f64 #s(approx (/ 1 (+ ( x 2) 3)) #s(literal 1/3 binary64)) (*.f64 x x)))
accuracy	14.145266624091366	(.f64 #s(approx (/ 1 (+ ( x 2) 3)) #s(literal 1/3 binary64)) (*.f64 x x))
accuracy	29.711406451822604	#s(approx (/ 1 (+ (* x 2) 3)) #s(literal 1/3 binary64))
accuracy	30.48810595903204	#s(approx (+ (* (* x x) -4) 9) #s(literal 9 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.08203125	(.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
accuracy	0.17188187511065317	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))
accuracy	0.23421554874887068	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))

Samples

73.0ms	202×	0	valid
11.0ms	25×	2	valid
10.0ms	29×	1	valid

Compiler

Compiled 219 to 37 computations (83.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-div: 40.0ms (53.7% of total)

ival-mult: 18.0ms (24.2% of total)

ival-add: 6.0ms (8.1% of total)

const: 6.0ms (8.1% of total)

adjust: 3.0ms (4% of total)

exact: 1.0ms (1.3% of total)

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

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

series13.0ms (0.1%)

Memory

-13.8MiB live, 24.1MiB allocated

Counts

17 → 204

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) (patch (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (+ ( (* x x) -4) 9) #s(literal 9 binary64)) (.f64 #s(approx (/ 1 (+ ( x 2) 3)) #s(literal 1/3 binary64)) (.f64 x x))) (patch (.f64 #s(approx (+ (* (* x x) -4) 9) #s(literal 9 binary64)) (.f64 #s(approx (/ 1 (+ ( x 2) 3)) #s(literal 1/3 binary64)) (*.f64 x x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* x x) -4) 9) #s(literal 9 binary64)) (patch #s(approx (+ (* (* x x) -4) 9) #s(literal 9 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (/ 1 (+ ( x 2) 3)) #s(literal 1/3 binary64)) (.f64 x x)) (patch (.f64 #s(approx (/ 1 (+ (* x 2) 3)) #s(literal 1/3 binary64)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ (* x 2) 3)) #s(literal 1/3 binary64)) (patch #s(approx (/ 1 (+ (* x 2) 3)) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( x -2) 3)) #s(literal 1/3 binary64))) (patch (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( x -2) 3)) #s(literal 1/3 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ (* x -2) 3)) #s(literal 1/3 binary64)) (patch #s(approx (/ 1 (+ (* x -2) 3)) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( x -2) 3)) (/.f64 #s(literal -1/2 binary64) x))) (patch (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( x -2) 3)) (/.f64 #s(literal -1/2 binary64) x))) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ (* x -2) 3)) (/.f64 #s(literal -1/2 binary64) x)) (patch #s(approx (/ 1 (+ (* x -2) 3)) (/.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1/2 binary64) x) (patch (/.f64 #s(literal -1/2 binary64) x) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) x) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) x) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) x)) x) (patch (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) x)) x) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) x)) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* 3 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -2 (pow x 3)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 3 (/ 1 x)) 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 3 (/ 1 x)) 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 3 (/ 1 x)) 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -2 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/3 (* 2/9 x)) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 (pow x 3)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 3))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 3)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 3)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 3))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1/2 (+ (* 3/4 (/ 1 x)) (/ 9/8 (pow x 2)))) (pow x 3))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) x)) 3/4) x))) (pow x 3))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) (patch (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) (patch (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) (patch (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) (patch (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -2 (pow x 3)) (taylor inf x) (#s(alt (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) (patch (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 3 (/ 1 x)) 2)) (taylor inf x) (#s(alt (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) (patch (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 3 (/ 1 x)) 2)) (taylor inf x) (#s(alt (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) (patch (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 3 (/ 1 x)) 2)) (taylor inf x) (#s(alt (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) (patch (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -2 (pow x 3)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) (patch (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) (patch (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) (patch (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) (patch (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow x 2)) (taylor 0 x) (#s(alt (.f64 #s(approx (+ ( (* x x) -4) 9) #s(literal 9 binary64)) (.f64 #s(approx (/ 1 (+ ( x 2) 3)) #s(literal 1/3 binary64)) (.f64 x x))) (patch (.f64 #s(approx (+ (* (* x x) -4) 9) #s(literal 9 binary64)) (.f64 #s(approx (/ 1 (+ ( x 2) 3)) #s(literal 1/3 binary64)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (.f64 #s(approx (+ ( (* x x) -4) 9) #s(literal 9 binary64)) (.f64 #s(approx (/ 1 (+ ( x 2) 3)) #s(literal 1/3 binary64)) (.f64 x x))) (patch (.f64 #s(approx (+ (* (* x x) -4) 9) #s(literal 9 binary64)) (.f64 #s(approx (/ 1 (+ ( x 2) 3)) #s(literal 1/3 binary64)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (.f64 #s(approx (+ ( (* x x) -4) 9) #s(literal 9 binary64)) (.f64 #s(approx (/ 1 (+ ( x 2) 3)) #s(literal 1/3 binary64)) (.f64 x x))) (patch (.f64 #s(approx (+ (* (* x x) -4) 9) #s(literal 9 binary64)) (.f64 #s(approx (/ 1 (+ ( x 2) 3)) #s(literal 1/3 binary64)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3 (* -2 x))) (taylor 0 x) (#s(alt (.f64 #s(approx (+ ( (* x x) -4) 9) #s(literal 9 binary64)) (.f64 #s(approx (/ 1 (+ ( x 2) 3)) #s(literal 1/3 binary64)) (.f64 x x))) (patch (.f64 #s(approx (+ (* (* x x) -4) 9) #s(literal 9 binary64)) (.f64 #s(approx (/ 1 (+ ( x 2) 3)) #s(literal 1/3 binary64)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -2 (pow x 3)) (taylor inf x) (#s(alt (.f64 #s(approx (+ ( (* x x) -4) 9) #s(literal 9 binary64)) (.f64 #s(approx (/ 1 (+ ( x 2) 3)) #s(literal 1/3 binary64)) (.f64 x x))) (patch (.f64 #s(approx (+ (* (* x x) -4) 9) #s(literal 9 binary64)) (.f64 #s(approx (/ 1 (+ ( x 2) 3)) #s(literal 1/3 binary64)) (*.f64 x x))) #<representation binary64>) () ())) ())
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#s(alt (* -2 (pow x 2)) (taylor inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) x)) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 3 (/ 1 x)) 2)) (taylor inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) x)) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 3 (/ 1 x)) 2)) (taylor inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) x)) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 3 (/ 1 x)) 2)) (taylor inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) x)) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* -2 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) x)) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 3 (/ 1 x)) 2)) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) x)) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 3 (/ 1 x)) 2)) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) x)) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 3 (/ 1 x)) 2)) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) x)) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt -9 (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (pow x 2)) 9) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (pow x 2)) 9) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (pow x 2)) 9) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) #<representation binary64>) () ())) ())

Calls

51 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(* (* (+ (* (* x x) 4) -9) (* (/ 1 (+ (* x -2) -3)) x)) x)
0.0ms	x	@	inf	(* (* (+ (* (* x x) 4) -9) (* (/ 1 (+ (* x -2) -3)) x)) x)
0.0ms	x	@	-inf	(* (* (+ (* (* x x) 4) -9) (* (/ 1 (+ (* x -2) -3)) x)) x)
0.0ms	x	@	0	(/ -1/2 x)
0.0ms	x	@	inf	(* (+ (* (* x x) 4) -9) (* (/ 1 (+ (* x -2) -3)) x))

simplify624.0ms (7%)

Memory

16.3MiB live, 281.3MiB allocated

Algorithm

1×	egg-herbie

Rules

9 308×	`lower-fma.f64`
9 308×	`lower-fma.f32`
3 656×	`lower-*.f64`
3 656×	`lower-*.f32`
2 538×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	176	1578
1	489	1544
2	1225	1524
3	2964	1500
4	7923	1500
0	8268	1377

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(/ 1/3 (pow x 2))
(/ (+ 1/3 (* 2/9 x)) (pow x 2))
(/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) (pow x 2))
(/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) (pow x 2))
(/ -1/2 (pow x 3))
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 3)))
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 3))
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 3))
(/ -1/2 (pow x 3))
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 3)))
(* -1 (/ (+ 1/2 (+ (* 3/4 (/ 1 x)) (/ 9/8 (pow x 2)))) (pow x 3)))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) x)) 3/4) x))) (pow x 3)))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
9
(+ 9 (* -4 (pow x 2)))
(+ 9 (* -4 (pow x 2)))
(+ 9 (* -4 (pow x 2)))
(* -4 (pow x 2))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(* -4 (pow x 2))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* -2/9 x)))
(* (pow x 2) (+ 1/3 (* x (- (* 4/27 x) 2/9))))
(* (pow x 2) (+ 1/3 (* x (- (* x (+ 4/27 (* -8/81 x))) 2/9))))
(* 1/2 x)
(* x (- 1/2 (* 3/4 (/ 1 x))))
(* x (- (+ 1/2 (/ 9/8 (pow x 2))) (* 3/4 (/ 1 x))))
(* x (- (+ 1/2 (/ 9/8 (pow x 2))) (+ (* 3/4 (/ 1 x)) (* 27/16 (/ 1 (pow x 3))))))
(* 1/2 x)
(* -1 (* x (- (* 3/4 (/ 1 x)) 1/2)))
(* -1 (* x (- (* -1 (/ (- (* 9/8 (/ 1 x)) 3/4) x)) 1/2)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 27/16 (/ 1 x)) 9/8) x)) 3/4) x)) 1/2)))
1/3
(+ 1/3 (* -2/9 x))
(+ 1/3 (* x (- (* 4/27 x) 2/9)))
(+ 1/3 (* x (- (* x (+ 4/27 (* -8/81 x))) 2/9)))
(/ 1/2 x)
(/ (- 1/2 (* 3/4 (/ 1 x))) x)
(/ (- (+ 1/2 (/ 9/8 (pow x 2))) (* 3/4 (/ 1 x))) x)
(/ (- (+ 1/2 (/ 9/8 (pow x 2))) (+ (* 3/4 (/ 1 x)) (* 27/16 (/ 1 (pow x 3))))) x)
(/ 1/2 x)
(* -1 (/ (- (* 3/4 (/ 1 x)) 1/2) x))
(* -1 (/ (- (* -1 (/ (- (* 9/8 (/ 1 x)) 3/4) x)) 1/2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27/16 (/ 1 x)) 9/8) x)) 3/4) x)) 1/2) x))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
1/3
(+ 1/3 (* 2/9 x))
(+ 1/3 (* x (+ 2/9 (* 4/27 x))))
(+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x))))))
(/ -1/2 x)
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) x)
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) x)
(/ -1/2 x)
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) x))
(* -1 (/ (+ 1/2 (+ (* 3/4 (/ 1 x)) (/ 9/8 (pow x 2)))) x))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) x)) 3/4) x))) x))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
1/3
(+ 1/3 (* 2/9 x))
(+ 1/3 (* x (+ 2/9 (* 4/27 x))))
(+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x))))))
(/ -1/2 x)
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) x)
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) x)
(/ -1/2 x)
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) x))
(* -1 (/ (+ 1/2 (+ (* 3/4 (/ 1 x)) (/ 9/8 (pow x 2)))) x))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) x)) 3/4) x))) x))
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(* -1/3 x)
(* x (- (* 2/9 x) 1/3))
(* x (- (* x (+ 2/9 (* -4/27 x))) 1/3))
(* x (- (* x (+ 2/9 (* x (- (* 8/81 x) 4/27)))) 1/3))
-1/2
(- (* 3/4 (/ 1 x)) 1/2)
(- (* 3/4 (/ 1 x)) (+ 1/2 (/ 9/8 (pow x 2))))
(- (+ (* 3/4 (/ 1 x)) (* 27/16 (/ 1 (pow x 3)))) (+ 1/2 (/ 9/8 (pow x 2))))
-1/2
(- (* 3/4 (/ 1 x)) 1/2)
(- (* -1 (/ (- (* 9/8 (/ 1 x)) 3/4) x)) 1/2)
(- (* -1 (/ (- (* -1 (/ (- (* 27/16 (/ 1 x)) 9/8) x)) 3/4) x)) 1/2)
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* 3 x)
(* x (+ 3 (* -2 x)))
(* x (+ 3 (* -2 x)))
(* x (+ 3 (* -2 x)))
(* -2 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
-9
(- (* 4 (pow x 2)) 9)
(- (* 4 (pow x 2)) 9)
(- (* 4 (pow x 2)) 9)
(* 4 (pow x 2))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(* 4 (pow x 2))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))

Outputs
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 x (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 x (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 x (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -2 (pow x 3))
(.f64 #s(literal -2 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 x (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 x (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 x (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -2 (pow x 3))
(.f64 #s(literal -2 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(.f64 x (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(.f64 x (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(.f64 x (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(/ 1/3 (pow x 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
(/ (+ 1/3 (* 2/9 x)) (pow x 2))
(/.f64 (fma.f64 x #s(literal 2/9 binary64) #s(literal 1/3 binary64)) (*.f64 x x))
(/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) (pow x 2))
(/.f64 (fma.f64 x (fma.f64 x #s(literal 4/27 binary64) #s(literal 2/9 binary64)) #s(literal 1/3 binary64)) (*.f64 x x))
(/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) (pow x 2))
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 8/81 binary64) #s(literal 4/27 binary64)) #s(literal 2/9 binary64)) #s(literal 1/3 binary64)) (*.f64 x x))
(/ -1/2 (pow x 3))
(/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x x)))
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 3)))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -3/4 binary64) x)) (.f64 x (.f64 x x)))
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 3))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -9/8 binary64) x) #s(literal -3/4 binary64)) x)) (.f64 x (.f64 x x)))
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 3))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 (+.f64 #s(literal 9/8 binary64) (/.f64 #s(literal 27/16 binary64) x)) x)) x)) (.f64 x (.f64 x x)))
(/ -1/2 (pow x 3))
(/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x x)))
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 3)))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -3/4 binary64) x)) (.f64 x (.f64 x x)))
(* -1 (/ (+ 1/2 (+ (* 3/4 (/ 1 x)) (/ 9/8 (pow x 2)))) (pow x 3)))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -9/8 binary64) x) #s(literal -3/4 binary64)) x)) (.f64 x (.f64 x x)))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) x)) 3/4) x))) (pow x 3)))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 (+.f64 #s(literal 9/8 binary64) (/.f64 #s(literal 27/16 binary64) x)) x)) x)) (.f64 x (.f64 x x)))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 x (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
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(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
-9
#s(literal -9 binary64)
(- (* 4 (pow x 2)) 9)
(fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))
(- (* 4 (pow x 2)) 9)
(fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))
(- (* 4 (pow x 2)) 9)
(fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))
(* 4 (pow x 2))
(.f64 x (.f64 x #s(literal 4 binary64)))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))
(* 4 (pow x 2))
(.f64 x (.f64 x #s(literal 4 binary64)))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))

rewrite303.0ms (3.4%)

Memory

-1.8MiB live, 432.6MiB allocated

Rules

6 748×	`lower-fma.f32`
6 742×	`lower-fma.f64`
4 902×	`lower-*.f32`
4 888×	`lower-*.f64`
3 208×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	180
0	58	167
1	219	154
2	1372	151
0	9113	149

Stop Event

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

Counts

17 → 1 121

Calls

Call 1

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

Outputs
(+.f64 (.f64 x (.f64 x #s(literal 3 binary64))) (.f64 x (.f64 x (*.f64 x #s(literal -2 binary64)))))
(+.f64 (.f64 x (.f64 x (.f64 x #s(literal -2 binary64)))) (.f64 x (*.f64 x #s(literal 3 binary64))))
(+.f64 (.f64 x (.f64 x (.f64 x #s(literal -2 binary64)))) (.f64 x (*.f64 #s(literal 3 binary64) x)))
(+.f64 (.f64 x (.f64 x (.f64 x #s(literal -2 binary64)))) (.f64 (*.f64 x #s(literal 3 binary64)) x))
(+.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))) (neg.f64 (.f64 (*.f64 x x) #s(literal -3 binary64))))
(+.f64 (.f64 x (.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) #s(literal -9 binary64))) (.f64 x (.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (.f64 x (.f64 x #s(literal 4 binary64))))))
(+.f64 (.f64 x (.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (.f64 x (.f64 x #s(literal 4 binary64))))) (.f64 x (.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) #s(literal -9 binary64))))
(+.f64 (.f64 x (.f64 #s(literal -9 binary64) (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))) (.f64 x (.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))))
(+.f64 (.f64 x (.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))) (.f64 x (.f64 #s(literal -9 binary64) (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))))
(+.f64 (.f64 x (.f64 #s(literal 3 binary64) x)) (.f64 x (.f64 x (*.f64 x #s(literal -2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))) (.f64 #s(literal -1 binary64) (.f64 (*.f64 x x) #s(literal -3 binary64))))
(+.f64 (.f64 (/.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) #s(literal -9 binary64)) (.f64 (/.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (.f64 x (.f64 x #s(literal 4 binary64)))))
(+.f64 (.f64 (/.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (.f64 x (.f64 x #s(literal 4 binary64)))) (.f64 (/.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) #s(literal -9 binary64)))
(+.f64 (.f64 (.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) #s(literal -9 binary64)) x) (.f64 (.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (.f64 x (.f64 x #s(literal 4 binary64)))) x))
(+.f64 (.f64 (.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (.f64 x (.f64 x #s(literal 4 binary64)))) x) (.f64 (.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) #s(literal -9 binary64)) x))
(+.f64 (.f64 (.f64 x #s(literal 3 binary64)) x) (.f64 x (.f64 x (*.f64 x #s(literal -2 binary64)))))
(+.f64 (.f64 (.f64 #s(literal -9 binary64) (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) x) (.f64 (.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) x))
(+.f64 (.f64 (.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) x) (.f64 (.f64 #s(literal -9 binary64) (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) x))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) #s(literal -1 binary64)) (.f64 (.f64 (*.f64 x x) #s(literal -3 binary64)) #s(literal -1 binary64)))
(+.f64 (.f64 #s(literal -9 binary64) (/.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) (.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (/.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))))
(+.f64 (.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (/.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) (.f64 #s(literal -9 binary64) (/.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))))
(exp.f64 (log.f64 (.f64 x (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))))
(-.f64 (/.f64 (.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal -4 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 4 binary64))))) (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) (/.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 3 binary64))) (.f64 x (.f64 x (*.f64 x #s(literal -2 binary64)))))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x #s(literal -2 binary64)))) (.f64 x (*.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x #s(literal -2 binary64)))) (.f64 x (*.f64 #s(literal 3 binary64) x)))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x #s(literal -2 binary64)))) (.f64 (*.f64 x #s(literal 3 binary64)) x))
(fma.f64 x (.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) #s(literal -9 binary64)) (.f64 x (.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (.f64 x (*.f64 x #s(literal 4 binary64))))))
(fma.f64 x (.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (.f64 x (.f64 x #s(literal 4 binary64)))) (.f64 x (*.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) #s(literal -9 binary64))))
(fma.f64 x (.f64 x #s(literal 3 binary64)) (.f64 x (.f64 x (.f64 x #s(literal -2 binary64)))))
(fma.f64 x (.f64 x (.f64 x #s(literal -2 binary64))) (.f64 x (.f64 x #s(literal 3 binary64))))
(fma.f64 x (.f64 x (.f64 x #s(literal -2 binary64))) (.f64 x (.f64 #s(literal 3 binary64) x)))
(fma.f64 x (.f64 x (.f64 x #s(literal -2 binary64))) (.f64 (.f64 x #s(literal 3 binary64)) x))
(fma.f64 x (.f64 #s(literal -9 binary64) (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) (.f64 x (.f64 (.f64 x (*.f64 x #s(literal 4 binary64))) (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))))
(fma.f64 x (.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) (.f64 x (*.f64 #s(literal -9 binary64) (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))))
(fma.f64 x (.f64 #s(literal 3 binary64) x) (.f64 x (.f64 x (.f64 x #s(literal -2 binary64)))))
(fma.f64 (.f64 x x) #s(literal 3 binary64) (.f64 x (.f64 x (.f64 x #s(literal -2 binary64)))))
(fma.f64 (.f64 x x) (.f64 x #s(literal -2 binary64)) (.f64 x (.f64 x #s(literal 3 binary64))))
(fma.f64 (.f64 x x) (.f64 x #s(literal -2 binary64)) (.f64 x (.f64 #s(literal 3 binary64) x)))
(fma.f64 (.f64 x x) (.f64 x #s(literal -2 binary64)) (.f64 (.f64 x #s(literal 3 binary64)) x))
(fma.f64 #s(literal -2 binary64) (.f64 x (.f64 x x)) (.f64 x (.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal -2 binary64) (.f64 x (.f64 x x)) (.f64 x (.f64 #s(literal 3 binary64) x)))
(fma.f64 #s(literal -2 binary64) (.f64 x (.f64 x x)) (.f64 (.f64 x #s(literal 3 binary64)) x))
(fma.f64 #s(literal 3 binary64) (.f64 x x) (.f64 x (.f64 x (.f64 x #s(literal -2 binary64)))))
(fma.f64 (.f64 x #s(literal -2 binary64)) (.f64 x x) (.f64 x (.f64 x #s(literal 3 binary64))))
(fma.f64 (.f64 x #s(literal -2 binary64)) (.f64 x x) (.f64 x (.f64 #s(literal 3 binary64) x)))
(fma.f64 (.f64 x #s(literal -2 binary64)) (.f64 x x) (.f64 (.f64 x #s(literal 3 binary64)) x))
(fma.f64 #s(literal -9 binary64) (/.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal -3 binary64))))
(fma.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (/.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (.f64 #s(literal -9 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))))
(fma.f64 (.f64 x (.f64 x #s(literal 3 binary64))) #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x #s(literal -2 binary64)))))
(fma.f64 (.f64 x (.f64 x (.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 3 binary64))))
(fma.f64 (.f64 x (.f64 x (.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64) (.f64 x (*.f64 #s(literal 3 binary64) x)))
(fma.f64 (.f64 x (.f64 x (.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64) (.f64 (*.f64 x #s(literal 3 binary64)) x))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) #s(literal -9 binary64) (.f64 (/.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (.f64 x (*.f64 x #s(literal 4 binary64)))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 (/.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) #s(literal -9 binary64)))
(fma.f64 (.f64 x (.f64 x x)) #s(literal -2 binary64) (.f64 x (.f64 x #s(literal 3 binary64))))
(fma.f64 (.f64 x (.f64 x x)) #s(literal -2 binary64) (.f64 x (.f64 #s(literal 3 binary64) x)))
(fma.f64 (.f64 x (.f64 x x)) #s(literal -2 binary64) (.f64 (.f64 x #s(literal 3 binary64)) x))
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) #s(literal -1 binary64) (.f64 (.f64 (.f64 x x) #s(literal -3 binary64)) #s(literal -1 binary64)))
(fma.f64 (.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) #s(literal -9 binary64)) x (.f64 (.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (.f64 x (*.f64 x #s(literal 4 binary64)))) x))
(fma.f64 (.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (.f64 x (.f64 x #s(literal 4 binary64)))) x (.f64 (*.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) #s(literal -9 binary64)) x))
(fma.f64 (.f64 x #s(literal 3 binary64)) x (.f64 x (.f64 x (.f64 x #s(literal -2 binary64)))))
(fma.f64 (.f64 x (.f64 x #s(literal -2 binary64))) x (.f64 x (.f64 x #s(literal 3 binary64))))
(fma.f64 (.f64 x (.f64 x #s(literal -2 binary64))) x (.f64 x (.f64 #s(literal 3 binary64) x)))
(fma.f64 (.f64 x (.f64 x #s(literal -2 binary64))) x (.f64 (.f64 x #s(literal 3 binary64)) x))
(fma.f64 (.f64 #s(literal -9 binary64) (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) x (.f64 (.f64 (.f64 x (*.f64 x #s(literal 4 binary64))) (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) x))
(fma.f64 (.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) x (.f64 (*.f64 #s(literal -9 binary64) (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) x))
(fma.f64 (.f64 #s(literal 3 binary64) x) x (.f64 x (.f64 x (.f64 x #s(literal -2 binary64)))))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -2 binary64)))) x (.f64 x (*.f64 x #s(literal 3 binary64))))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -2 binary64)))) x (.f64 x (*.f64 #s(literal 3 binary64) x)))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -2 binary64)))) x (.f64 (*.f64 x #s(literal 3 binary64)) x))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) x (.f64 x (.f64 x (*.f64 x #s(literal -2 binary64)))))
(neg.f64 (.f64 x (.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 4 binary64)))) (.f64 (.f64 x (.f64 x #s(literal 3 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 3 binary64))) (.f64 x (.f64 x (.f64 x #s(literal -2 binary64))))))) (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal 27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (.f64 (.f64 x (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) (.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 x (.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 x #s(literal 6 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64)) #s(literal 81 binary64)) (.f64 (.f64 x x) #s(literal 36 binary64))) (.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) (+.f64 (fma.f64 x (.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 x #s(literal -6 binary64)))) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 (.f64 (fma.f64 x (.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 x (.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 x #s(literal 6 binary64))) (.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) (.f64 (.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) x) x)))
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
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(.f64 (.f64 (.f64 (fma.f64 x (.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))))
(.f64 (/.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64) #s(literal -27 binary64))) (/.f64 (fma.f64 x (.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 x #s(literal -6 binary64))))))
(.f64 (/.f64 x (fma.f64 x (.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))) (/.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64) #s(literal -27 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 x #s(literal -6 binary64))))))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) (fma.f64 x (.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))) (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(.f64 (.f64 (fma.f64 x (.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) (/.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64) #s(literal -27 binary64)))) (+.f64 (fma.f64 x (.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 x #s(literal -6 binary64))))
(.f64 (.f64 (fma.f64 x (.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) (/.f64 x (fma.f64 x (.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)))) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(.f64 (.f64 (.f64 (fma.f64 x (.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))
(.f64 (.f64 (.f64 (fma.f64 x (.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) x) (pow.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) #s(literal -1/2 binary64))) (pow.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) #s(literal -1/2 binary64)))
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(.f64 (.f64 (.f64 (fma.f64 x (.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)))) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(+.f64 #s(literal -9 binary64) (.f64 x (.f64 x #s(literal 4 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal 4 binary64))) #s(literal -9 binary64))
(+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64))) (fma.f64 x (.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (neg.f64 (/.f64 #s(literal 81 binary64) (fma.f64 x (.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))))
(-.f64 (.f64 x (.f64 x #s(literal 4 binary64))) #s(literal 9 binary64))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64))) (fma.f64 x (.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 81 binary64) (fma.f64 x (.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64))) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64)) #s(literal 81 binary64)) (.f64 (.f64 x x) #s(literal 36 binary64)))) (/.f64 #s(literal 729 binary64) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64)) #s(literal 81 binary64)) (.f64 (.f64 x x) #s(literal 36 binary64)))))
(-.f64 (/.f64 #s(literal 81 binary64) (+.f64 #s(literal -9 binary64) (.f64 (.f64 x x) #s(literal -4 binary64)))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64))) (+.f64 #s(literal -9 binary64) (.f64 (.f64 x x) #s(literal -4 binary64)))))
(fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))
(fma.f64 x (neg.f64 (*.f64 x #s(literal -4 binary64))) #s(literal -9 binary64))
(fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))
(fma.f64 #s(literal -2 binary64) (.f64 x (.f64 x #s(literal -2 binary64))) #s(literal -9 binary64))
(fma.f64 #s(literal -4 binary64) (*.f64 x (neg.f64 x)) #s(literal -9 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2 binary64))) #s(literal -9 binary64))
(fma.f64 (.f64 x #s(literal 2 binary64)) (.f64 x #s(literal 2 binary64)) #s(literal -9 binary64))
(fma.f64 (.f64 x #s(literal -2 binary64)) (.f64 x #s(literal -2 binary64)) #s(literal -9 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal -4 binary64)) #s(literal -9 binary64))
(fma.f64 (neg.f64 x) (*.f64 x #s(literal -4 binary64)) #s(literal -9 binary64))
(fma.f64 (*.f64 x (neg.f64 x)) #s(literal -4 binary64) #s(literal -9 binary64))
(fma.f64 (.f64 x (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64) #s(literal -9 binary64))
(fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (neg.f64 (/.f64 #s(literal 81 binary64) (fma.f64 x (.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))))
(fma.f64 (*.f64 x #s(literal -4 binary64)) (neg.f64 x) #s(literal -9 binary64))
(fma.f64 (.f64 x (.f64 x #s(literal -2 binary64))) #s(literal -2 binary64) #s(literal -9 binary64))
(fma.f64 (*.f64 x #s(literal 4 binary64)) x #s(literal -9 binary64))
(fma.f64 (.f64 x (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64) #s(literal -9 binary64))
(fma.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -9 binary64))
(fma.f64 (neg.f64 (*.f64 x #s(literal -4 binary64))) x #s(literal -9 binary64))
(neg.f64 (fma.f64 x (*.f64 x #s(literal -4 binary64)) #s(literal 9 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 81 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 16 binary64)) #s(literal -36 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 64 binary64)) #s(literal -729 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -9 binary64) (.f64 (.f64 x x) #s(literal -4 binary64))) (-.f64 #s(literal 81 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)) #s(literal -729 binary64)) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64)) #s(literal 81 binary64)) (.f64 (.f64 x x) #s(literal 36 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)) #s(literal -729 binary64)) (+.f64 #s(literal 81 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 16 binary64)) #s(literal -36 binary64)))))
(/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64)) #s(literal -81 binary64)) (fma.f64 x (.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)) #s(literal -729 binary64))) (neg.f64 (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64)) #s(literal 81 binary64)) (.f64 (.f64 x x) #s(literal 36 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)) #s(literal -729 binary64))) (neg.f64 (+.f64 #s(literal 81 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 16 binary64)) #s(literal -36 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64)) #s(literal -81 binary64))) (fma.f64 x (.f64 x #s(literal -4 binary64)) #s(literal -9 binary64)))
(/.f64 (-.f64 #s(literal 81 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64)))) (+.f64 #s(literal -9 binary64) (.f64 (.f64 x x) #s(literal -4 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64))) (fma.f64 x (.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 81 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 4096 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal -531441 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)) #s(literal 729 binary64)) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64)) #s(literal 81 binary64)) (.f64 (*.f64 x x) #s(literal 36 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 4096 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal -531441 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) #s(literal 256 binary64) (+.f64 #s(literal 6561 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1296 binary64)))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) #s(literal 256 binary64) #s(literal -6561 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64)) #s(literal 81 binary64)) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64))) (.f64 #s(literal 4096 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) #s(literal -387420489 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 4096 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (-.f64 #s(literal 531441 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -46656 binary64)))) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64)) #s(literal 81 binary64)) (.f64 (.f64 x x) #s(literal 36 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64)) #s(literal -81 binary64)))) (fma.f64 x (.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 81 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64))))) (neg.f64 (+.f64 #s(literal -9 binary64) (.f64 (.f64 x x) #s(literal -4 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)) #s(literal -729 binary64)))) (neg.f64 (neg.f64 (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64)) #s(literal 81 binary64)) (.f64 (.f64 x x) #s(literal 36 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64))) (fma.f64 x (.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 81 binary64) (fma.f64 x (.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64))) (fma.f64 x (.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64))) (fma.f64 x (.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (fma.f64 (/.f64 #s(literal 81 binary64) (fma.f64 x (.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 81 binary64) (fma.f64 x (.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64))) (fma.f64 x (.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 81 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64))) (fma.f64 x (.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64))) (fma.f64 x (.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))) (.f64 (/.f64 #s(literal 81 binary64) (fma.f64 x (.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 81 binary64) (fma.f64 x (.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))))) (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64))) (fma.f64 x (.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 81 binary64) (fma.f64 x (.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)) #s(literal -729 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64)) #s(literal 81 binary64)) (.f64 (*.f64 x x) #s(literal 36 binary64)))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)) #s(literal -729 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 81 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 16 binary64)) #s(literal -36 binary64))))))
(.f64 (fma.f64 x (.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64)) #s(literal -81 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)) #s(literal -729 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64)) #s(literal 81 binary64)) (.f64 (*.f64 x x) #s(literal 36 binary64))))))
(.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64)) #s(literal -81 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -4 binary64)) #s(literal -9 binary64))))
(.f64 (-.f64 #s(literal 81 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -9 binary64) (.f64 (*.f64 x x) #s(literal -4 binary64)))))

eval306.0ms (3.4%)

Memory: -22.8MiB live, 365.8MiB allocated
Compiler: Compiled 29 985 to 2 673 computations (91.1% saved)

prune219.0ms (2.5%)

Memory

28.4MiB live, 418.0MiB allocated

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	1 438	7	1 445
Fresh	3	3	6
Picked	3	2	5
Done	1	4	5
Total	1 445	16	1 461

Accuracy

100.0%

Counts

1 461 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64)))
✓	72.4%	(/.f64 (.f64 x x) #s(approx (/ 1 (+ ( x -2) 3)) (/.f64 #s(literal -1/2 binary64) x)))
	72.4%	(/.f64 #s(approx (+ (* x -2) 3) (.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
	72.4%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (* x x) (+ (* x -2) 3))) (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x x)))))
✓	99.9%	(.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 x x))
	63.8%	(.f64 (/.f64 x #s(approx (/ 1 (+ ( x -2) 3)) #s(literal 1/3 binary64))) x)
	63.8%	(.f64 (.f64 (.f64 #s(approx (+ ( (* x x) -4) 9) #s(literal 9 binary64)) x) x) #s(approx (/ 1 (+ (* x 2) 3)) #s(literal 1/3 binary64)))
✓	99.8%	(.f64 (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
	72.4%	(.f64 (.f64 x #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64)))) x)
✓	63.9%	(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
	99.6%	(.f64 #s(approx (+ ( (* x x) -4) 9) #s(literal 9 binary64)) (.f64 #s(approx (/ 1 (+ ( x 2) 3)) (fma.f64 x #s(literal -2/9 binary64) #s(literal 1/3 binary64))) (*.f64 x x)))
✓	63.8%	(.f64 #s(approx (+ ( (* x x) -4) 9) #s(literal 9 binary64)) (.f64 #s(approx (/ 1 (+ ( x 2) 3)) #s(literal 1/3 binary64)) (*.f64 x x)))
	1.6%	(.f64 #s(approx (+ ( (* x x) -4) 9) #s(literal 9 binary64)) #s(approx (* (/ 1 (+ (* x 2) 3)) (* x x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -3/4 binary64))))
	99.6%	(.f64 #s(approx (+ ( (* x x) -4) 9) #s(literal 9 binary64)) #s(approx (* (/ 1 (+ (* x 2) 3)) (* x x)) (.f64 x (.f64 x (fma.f64 x #s(literal -2/9 binary64) #s(literal 1/3 binary64))))))
	3.2%	(.f64 #s(approx (+ ( (* x x) -4) 9) #s(literal 9 binary64)) #s(approx (* (/ 1 (+ (* x 2) 3)) (* x x)) (*.f64 x #s(literal 1/2 binary64))))
✓	63.8%	#s(approx (* (* x x) (- 3 (* x 2))) (.f64 x (.f64 x #s(literal 3 binary64))))

Compiler

Compiled 651 to 234 computations (64.1% saved)

regimes21.0ms (0.2%)

Memory

11.3MiB live, 49.4MiB allocated

Counts

37 → 1

Calls

Call 1

Inputs
#s(approx (* (* x x) (- 3 (* x 2))) (.f64 x (.f64 x #s(literal 3 binary64))))
(.f64 #s(approx (+ ( (* x x) -4) 9) #s(literal 9 binary64)) #s(approx (* (/ 1 (+ (* x 2) 3)) (* x x)) (*.f64 x #s(literal 1/2 binary64))))
(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
(.f64 #s(approx (+ ( (* x x) -4) 9) #s(literal 9 binary64)) #s(approx (* (/ 1 (+ (* x 2) 3)) (* x x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -3/4 binary64))))
(.f64 #s(approx (+ ( (* x x) -4) 9) #s(literal 9 binary64)) (.f64 #s(approx (/ 1 (+ ( x 2) 3)) #s(literal 1/3 binary64)) (*.f64 x x)))
(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))
(.f64 (.f64 x #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64)))) x)
(.f64 (.f64 (.f64 #s(approx (+ ( (* x x) -4) 9) #s(literal 9 binary64)) x) x) #s(approx (/ 1 (+ (* x 2) 3)) #s(literal 1/3 binary64)))
(.f64 (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
(.f64 (/.f64 x #s(approx (/ 1 (+ ( x -2) 3)) #s(literal 1/3 binary64))) x)
(.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 x x))
(/.f64 (.f64 x x) #s(approx (/ 1 (+ ( x -2) 3)) #s(literal 1/3 binary64)))
(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(.f64 #s(approx (+ ( (* x x) -4) 9) #s(literal 9 binary64)) #s(approx (* (/ 1 (+ (* x 2) 3)) (* x x)) (.f64 x (.f64 x (fma.f64 x #s(literal -2/9 binary64) #s(literal 1/3 binary64))))))
(.f64 #s(approx (+ ( (* x x) -4) 9) #s(literal 9 binary64)) (.f64 #s(approx (/ 1 (+ ( x 2) 3)) (fma.f64 x #s(literal -2/9 binary64) #s(literal 1/3 binary64))) (*.f64 x x)))
(.f64 (fma.f64 x #s(literal 3 binary64) (.f64 #s(literal -2 binary64) (*.f64 x x))) x)
(.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -4 binary64)) #s(literal 9 binary64)))) #s(approx (/ 1 (+ (* x 2) 3)) #s(literal 1/3 binary64)))
(.f64 (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (.f64 #s(approx (/ 1 (+ ( x 2) 3)) #s(literal 1/3 binary64)) (*.f64 x x)))
(fma.f64 (.f64 x x) #s(literal 3 binary64) (.f64 x (.f64 x (.f64 x #s(literal -2 binary64)))))
(/.f64 (.f64 x x) #s(approx (/ 1 (+ ( x -2) 3)) (/.f64 #s(literal -1/2 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (* x x) (+ (* x -2) 3))) (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x x)))))
(/.f64 #s(approx (+ (* x -2) 3) (.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))
(.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))
(.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) x)) x)
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (.f64 x x)))
(.f64 (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (.f64 x x)))
(/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 4 binary64))))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64)))) (-.f64 (.f64 x (.f64 x (.f64 x #s(literal -2 binary64)))) (.f64 #s(literal 3 binary64) (*.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64)) #s(literal -81 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))))) (.f64 (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (.f64 x x)))
(.f64 (.f64 x x) (.f64 (-.f64 (.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) (.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))))))
(/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64)))
(.f64 (.f64 x x) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))))))

Outputs
(.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 x x))

Calls

2 calls:

10.0ms	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
10.0ms	x

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory

-19.1MiB live, 18.8MiB allocated

Counts

10 → 1

Calls

Call 1

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

Outputs
(.f64 (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)

Calls

2 calls:

5.0ms	x
3.0ms	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

16.7MiB live, 16.7MiB allocated

Counts

8 → 3

Calls

Call 1

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

Outputs

(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))

(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))

(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))

Calls

2 calls:

3.0ms	x
3.0ms	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))

Results

Accuracy	Segments	Branch
98.4%	3	`x`
98.4%	3	`(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated

Counts

5 → 1

Calls

Call 1

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

Outputs
(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))

Calls

2 calls:

2.0ms	x
2.0ms	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))

Results

Accuracy	Segments	Branch
63.9%	1	`x`
63.9%	1	`(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory

-28.1MiB live, 9.8MiB allocated

Accuracy

Total -38.8b remaining (-167.8%)

Threshold costs -38.8b (-167.8%)

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 x #s(literal 3 binary64))))

(*.f64 #s(approx (+ (* (* x x) -4) 9) #s(literal 9 binary64)) #s(approx (* (/ 1 (+ (* x 2) 3)) (* x x)) (*.f64 x #s(literal 1/2 binary64))))

Outputs
#s(approx (* (* x x) (- 3 (* x 2))) (.f64 x (.f64 x #s(literal 3 binary64))))

Calls

2 calls:

3.0ms	x
1.0ms	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))

Results

Accuracy	Segments	Branch
63.8%	1	`(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))`
63.8%	1	`x`

Compiler

Compiled 12 to 8 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.13761616495074427	119345018118.99739
0.0ms	-3500830495244028400.0	0.0

Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify8.0ms (0.1%)

Memory

22.1MiB live, 22.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	103
1	45	103
2	57	103
3	63	103
4	67	103
5	68	103

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 x x))
(.f64 (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
(if (<=.f64 (.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (.f64 x #s(literal 2 binary64)))) #s(literal -2000000000000000000 binary64)) (.f64 (.f64 x x) #s(approx (- 3 ( x 2)) (.f64 #s(literal -2 binary64) x))) (if (<=.f64 (.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (.f64 x #s(literal 2 binary64)))) #s(literal 3602879701896397/18014398509481984 binary64)) (.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) (.f64 (.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))))
(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
#s(approx (* (* x x) (- 3 (* x 2))) (.f64 x (.f64 x #s(literal 3 binary64))))

Outputs
(.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 x x))
(.f64 (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
(.f64 x (.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(if (<=.f64 (.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (.f64 x #s(literal 2 binary64)))) #s(literal -2000000000000000000 binary64)) (.f64 (.f64 x x) #s(approx (- 3 ( x 2)) (.f64 #s(literal -2 binary64) x))) (if (<=.f64 (.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (.f64 x #s(literal 2 binary64)))) #s(literal 3602879701896397/18014398509481984 binary64)) (.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) (.f64 (.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))))
(if (<=.f64 (.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (.f64 x #s(literal 2 binary64)))) #s(literal -2000000000000000000 binary64)) (.f64 (.f64 x x) #s(approx (- 3 ( x 2)) (.f64 x #s(literal -2 binary64)))) (if (<=.f64 (.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (.f64 x #s(literal 2 binary64)))) #s(literal 3602879701896397/18014398509481984 binary64)) (.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) (.f64 (.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))))))
(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
#s(approx (* (* x x) (- 3 (* x 2))) (.f64 x (.f64 x #s(literal 3 binary64))))

soundness979.0ms (11%)

Memory

-20.7MiB live, 340.1MiB allocated

Rules

20 650×	`lower-fma.f64`
20 650×	`lower-fma.f32`
9 334×	`lower-fma.f64`
9 334×	`lower-fma.f32`
4 144×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	220
1	63	220
2	165	220
3	494	220
4	1369	220
5	2276	220
6	3140	220
7	3877	220
8	5631	220
9	6275	220
10	6644	220
0	8428	202
0	7	20
0	11	20
1	35	20
2	219	20
3	1759	20
0	8516	18

Stop Event

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

Compiler

Compiled 150 to 61 computations (59.3% saved)

preprocess45.0ms (0.5%)

Memory: 1.9MiB live, 113.3MiB allocated
Compiler: Compiled 190 to 74 computations (61.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	9	19
1	36	18
2	120	18
3	451	18
4	845	18
5	940	18
6	944	18
0	7	9
0	11	9
1	20	9
2	48	9
3	112	9
4	208	9
5	266	9
6	346	9
7	500	9
8	623	9
9	704	9
10	872	9
11	874	9
0	874	8

Iter	Nodes	Cost
0	7	23
0	11	23
1	20	23
2	48	23
3	112	23
4	208	23
5	266	23
6	346	23
7	500	23
8	623	23
9	704	23
10	872	23
11	874	23
0	874	21

Iter	Nodes	Cost
0	9	19
1	36	18
2	120	18
3	451	18
4	845	18
5	940	18
6	944	18
0	7	9
0	11	9
1	20	9
2	48	9
3	112	9
4	208	9
5	266	9
6	346	9
7	500	9
8	623	9
9	704	9
10	872	9
11	874	9
0	874	8

Iter	Nodes	Cost
0	7	23
0	11	23
1	20	23
2	48	23
3	112	23
4	208	23
5	266	23
6	346	23
7	500	23
8	623	23
9	704	23
10	872	23
11	874	23
0	874	21

start0.0ms (0%)

analyze0.0ms (0%)

sample761.0ms (8.6%)

explain86.0ms (1%)

preprocess58.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify30.0ms (0.3%)

localize32.0ms (0.4%)

series4.0ms (0%)

simplify313.0ms (3.5%)

rewrite955.0ms (10.8%)

eval61.0ms (0.7%)

prune103.0ms (1.2%)

simplify258.0ms (2.9%)

localize93.0ms (1.1%)

series47.0ms (0.5%)

simplify179.0ms (2%)

rewrite524.0ms (5.9%)

eval409.0ms (4.6%)

prune264.0ms (3%)

simplify190.0ms (2.1%)

localize104.0ms (1.2%)

series9.0ms (0.1%)

simplify210.0ms (2.4%)

rewrite297.0ms (3.3%)

eval353.0ms (4%)

prune262.0ms (3%)

simplify582.0ms (6.5%)

localize154.0ms (1.7%)

series13.0ms (0.1%)

simplify624.0ms (7%)

rewrite303.0ms (3.4%)

eval306.0ms (3.4%)

prune219.0ms (2.5%)

regimes21.0ms (0.2%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

soundness979.0ms (11%)

preprocess45.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	9	19
1	36	18
2	120	18
3	451	18
4	845	18
5	940	18
6	944	18
0	7	9
0	11	9
1	20	9
2	48	9
3	112	9
4	208	9
5	266	9
6	346	9
7	500	9
8	623	9
9	704	9
10	872	9
11	874	9
0	874	8

Iter	Nodes	Cost
0	7	23
0	11	23
1	20	23
2	48	23
3	112	23
4	208	23
5	266	23
6	346	23
7	500	23
8	623	23
9	704	23
10	872	23
11	874	23
0	874	21