Metrics for Expression 3, p15

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25%	75%	0%	0%	0%	0
100%	25%	0%	75%	0%	0%	0%	1

Compiler

Compiled 17 to 10 computations (41.2% saved)

sample733.0ms (29.3%)

Memory

-27.3MiB live, 1 013.6MiB allocated

Samples

475.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 272.0ms

ival-mult: 109.0ms (40.1% of total)

ival-<=: 101.0ms (37.2% of total)

ival-add: 38.0ms (14% of total)

ival-and: 11.0ms (4% of total)

exact: 10.0ms (3.7% of total)

ival-assert: 4.0ms (1.5% of total)

Bogosity

explain56.0ms (2.3%)

Memory

15.4MiB live, 139.1MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))`
-	-	`(.f64 x (.f64 x x))`
-	-	`(*.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

19.0ms

512×

valid

Compiler

Compiled 50 to 16 computations (68% saved)

Precisions

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

ival-mult: 6.0ms (65.8% of total)

ival-add: 2.0ms (21.9% of total)

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

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

preprocess81.0ms (3.3%)

Memory

-2.7MiB live, 36.0MiB allocated

Algorithm

1×	egg-herbie

Rules

68×	`associate-r`
62×	`distribute-lft-neg-in`
54×	`sub-neg`
42×	`lower-*.f32`
38×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	31	14
2	113	14
3	309	14
4	418	14
5	422	14
0	4	9
0	7	7
1	16	7
2	24	7
3	33	7
4	41	7
5	51	7
6	54	7
0	54	6

Stop Event

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

Calls

Call 1

Inputs
(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))

Outputs
(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
(*.f64 (fma.f64 x x x) x)

Compiler

Compiled 10 to 4 computations (60% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))

Compiler

Compiled 10 to 4 computations (60% saved)

simplify4.0ms (0.2%)

Memory

7.9MiB live, 7.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 x (.f64 x x))
cost-diff	448	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))

Rules

42×	`lower-*.f32`
38×	`lower-*.f64`
28×	`lower-fma.f64`
28×	`lower-fma.f32`
18×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	18
0	7	14
1	16	14
2	24	14
3	33	14
4	41	14
5	51	14
6	54	14
0	54	13

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
(.f64 x (.f64 x x))
x
(*.f64 x x)

Outputs
(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
(*.f64 (fma.f64 x x x) x)
(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
x
(*.f64 x x)

localize15.0ms (0.6%)

Memory

-9.1MiB live, 29.5MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.01171875	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
accuracy	0.125	(.f64 x (.f64 x x))

Samples

11.0ms

256×

valid

Compiler

Compiled 20 to 6 computations (70% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 3.0ms (68.4% of total)

ival-add: 1.0ms (22.8% of total)

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

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

series3.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB allocated

Counts

3 → 36

Calls

Call 1

Inputs
#s(alt (+.f64 (.f64 x (.f64 x x)) (.f64 x x)) (patch (+.f64 (.f64 x (.f64 x x)) (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())

Inputs

#s(alt (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (patch (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #<representation binary64>) () ())

#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())

#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())

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

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((+ (* x (* x x)) (* x x)) (* x (* x x)) (* x x))
1.0ms	x	@	inf	((+ (* x (* x x)) (* x x)) (* x (* x x)) (* x x))
1.0ms	x	@	0	((+ (* x (* x x)) (* x x)) (* x (* x x)) (* x x))

simplify170.0ms (6.8%)

Memory

-15.7MiB live, 79.7MiB allocated

Algorithm

1×	egg-herbie

Rules

5 604×	`lower-*.f64`
5 604×	`lower-*.f32`
3 550×	`cube-prod`
2 370×	`lower-/.f32`
2 370×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	144
1	30	144
2	64	144
3	103	144
4	286	144
5	1326	144
6	2335	144
7	3183	144
8	3904	144
9	4731	144
10	5074	144
11	5337	144
12	5549	144
13	5769	144
14	5852	144
15	6642	144
16	7744	144
0	8032	135

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

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

Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 x))
(*.f64 (fma.f64 x x x) x)
(* (pow x 2) (+ 1 x))
(*.f64 (fma.f64 x x x) x)
(* (pow x 2) (+ 1 x))
(*.f64 (fma.f64 x x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x 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 3)
(.f64 (.f64 x x) x)
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 (fma.f64 x x x) x)
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 (fma.f64 x x x) x)
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 (fma.f64 x x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x 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 3)
(.f64 (.f64 x x) x)
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 (fma.f64 x x x) x)
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 (fma.f64 x x x) x)
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 (fma.f64 x x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x 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)

rewrite336.0ms (13.4%)

Memory

-0.8MiB live, 189.7MiB allocated

Rules

10 118×	`lower-fma.f64`
10 118×	`lower-fma.f32`
4 498×	`lower-/.f64`
4 498×	`lower-/.f32`
3 492×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	17
0	7	13
1	30	13
2	199	13
3	1768	13
0	8450	12

Stop Event

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

Counts

3 → 243

Calls

Call 1

Inputs
(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
(.f64 x (.f64 x x))
(*.f64 x x)

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

eval47.0ms (1.9%)

Memory: 26.1MiB live, 62.7MiB allocated
Compiler: Compiled 12 407 to 682 computations (94.5% saved)

prune40.0ms (1.6%)

Memory

-34.1MiB live, 89.5MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	301	3	304
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	302	3	305

Accuracy

100.0%

Counts

305 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x x (.f64 (.f64 x x) x))
▶	100.0%	(*.f64 (fma.f64 x x x) x)
▶	98.0%	#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))

Compiler

Compiled 21 to 9 computations (57.1% saved)

simplify5.0ms (0.2%)

Memory

10.1MiB live, 10.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) x)
cost-diff	320	(fma.f64 x x (.f64 (.f64 x x) x))
cost-diff	0	(fma.f64 x x x)
cost-diff	0	(*.f64 (fma.f64 x x x) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))

Rules

42×	`lower-*.f32`
36×	`lower-*.f64`
28×	`lower-fma.f32`
24×	`lower-fma.f64`
12×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	45
0	16	38
1	26	38
2	32	38
3	44	38
4	44	38
5	56	38
6	56	38
0	56	38

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))
(*.f64 x x)
x
(*.f64 (fma.f64 x x x) x)
(fma.f64 x x x)
x
(fma.f64 x x (.f64 (.f64 x x) x))
x
(.f64 (.f64 x x) x)
(*.f64 x x)

Outputs
#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))
(*.f64 x x)
x
(*.f64 (fma.f64 x x x) x)
(fma.f64 x x x)
x
(fma.f64 x x (.f64 (.f64 x x) x))
(*.f64 (fma.f64 x x x) x)
x
(.f64 (.f64 x x) x)
(*.f64 x x)

localize23.0ms (0.9%)

Memory

25.6MiB live, 63.6MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 x x (.f64 (.f64 x x) x))
accuracy	0	(*.f64 x x)
accuracy	0.125	(.f64 (.f64 x x) x)
accuracy	0	(fma.f64 x x x)
accuracy	0.00390625	(*.f64 (fma.f64 x x x) x)
accuracy	0	(*.f64 x x)
accuracy	1.2800715023045621	#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))

Samples

17.0ms

256×

valid

Compiler

Compiled 46 to 10 computations (78.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 6.0ms (60.8% of total)

ival-add: 4.0ms (40.6% of total)

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

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

series6.0ms (0.2%)

Memory

-24.9MiB live, 13.3MiB allocated

Counts

6 → 72

Calls

Call 1

Inputs
#s(alt #s(approx (+ (* x (* x x)) (* x x)) (.f64 x x)) (patch #s(approx (+ ( x (* x x)) (* x x)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 x x x) x) (patch (.f64 (fma.f64 x x x) x) #<representation binary64>) () ())
#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())
#s(alt (fma.f64 x x (.f64 (.f64 x x) x)) (patch (fma.f64 x x (.f64 (.f64 x x) x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())

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

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

-inf

((+ (* x (* x x)) (* x x)) (* x x) (* (+ (* x x) x) x) (+ (* x x) x) (+ (* x x) (* (* x x) x)) (* (* x x) x))

1.0ms

inf

((+ (* x (* x x)) (* x x)) (* x x) (* (+ (* x x) x) x) (+ (* x x) x) (+ (* x x) (* (* x x) x)) (* (* x x) x))

1.0ms

((+ (* x (* x x)) (* x x)) (* x x) (* (+ (* x x) x) x) (+ (* x x) x) (+ (* x x) (* (* x x) x)) (* (* x x) x))

simplify157.0ms (6.3%)

Memory

18.1MiB live, 168.8MiB allocated

Algorithm

1×	egg-herbie

Rules

5 604×	`lower-*.f64`
5 604×	`lower-*.f32`
3 492×	`cube-prod`
2 370×	`lower-/.f32`
2 370×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	340
1	42	340
2	76	340
3	133	340
4	298	340
5	1306	340
6	2309	340
7	3166	340
8	3908	340
9	4706	340
10	5049	340
11	5314	340
12	5526	340
13	5746	340
14	5829	340
15	6619	340
16	7711	340
0	8007	304

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 71

Calls

Call 1

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

Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 x))
(*.f64 (fma.f64 x x x) x)
(* (pow x 2) (+ 1 x))
(*.f64 (fma.f64 x x x) x)
(* (pow x 2) (+ 1 x))
(*.f64 (fma.f64 x x 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) (+ 1 x))
(*.f64 (fma.f64 x x x) x)
(* (pow x 2) (+ 1 x))
(*.f64 (fma.f64 x x x) x)
(* (pow x 2) (+ 1 x))
(*.f64 (fma.f64 x x x) x)
x
(* x (+ 1 x))
(fma.f64 x x x)
(* x (+ 1 x))
(fma.f64 x x x)
(* x (+ 1 x))
(fma.f64 x x x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 x))
(*.f64 (fma.f64 x x x) x)
(* (pow x 2) (+ 1 x))
(*.f64 (fma.f64 x x x) x)
(* (pow x 2) (+ 1 x))
(*.f64 (fma.f64 x x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 (fma.f64 x x x) x)
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 (fma.f64 x x x) x)
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 (fma.f64 x x 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 3)
(.f64 (.f64 x x) x)
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 (fma.f64 x x x) x)
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 (fma.f64 x x x) x)
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 (fma.f64 x x x) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(pow x 3)
(.f64 (.f64 x x) x)
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 (fma.f64 x x x) x)
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 (fma.f64 x x x) x)
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 (fma.f64 x x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 (fma.f64 x x x) x)
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 (fma.f64 x x x) x)
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 (fma.f64 x x 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 3)
(.f64 (.f64 x x) x)
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 (fma.f64 x x x) x)
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 (fma.f64 x x x) x)
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 (fma.f64 x x x) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(pow x 3)
(.f64 (.f64 x x) x)
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 (fma.f64 x x x) x)
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 (fma.f64 x x x) x)
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 (fma.f64 x x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)

rewrite177.0ms (7.1%)

Memory

-11.6MiB live, 306.5MiB allocated

Rules

7 350×	`lower-fma.f32`
7 346×	`lower-fma.f64`
4 332×	`lower-*.f32`
4 326×	`lower-*.f64`
2 624×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	39
0	16	32
1	54	32
2	357	32
3	4008	32
0	8492	32

Stop Event

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

Counts

6 → 455

Calls

Call 1

Inputs
#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))
(*.f64 x x)
(*.f64 (fma.f64 x x x) x)
(fma.f64 x x x)
(fma.f64 x x (.f64 (.f64 x x) x))
(.f64 (.f64 x x) x)

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

eval210.0ms (8.4%)

Memory: 30.7MiB live, 109.5MiB allocated
Compiler: Compiled 17 624 to 803 computations (95.4% saved)

prune51.0ms (2.1%)

Memory

-4.2MiB live, 116.6MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	550	0	550
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	550	3	553

Accuracy

100.0%

Counts

553 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x x (.f64 (.f64 x x) x))
✓	100.0%	(*.f64 (fma.f64 x x x) x)
✓	98.0%	#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))

Compiler

Compiled 49 to 17 computations (65.3% saved)

regimes22.0ms (0.9%)

Memory

-30.8MiB live, 7.8MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))
(*.f64 (fma.f64 x x x) x)
(fma.f64 x x (.f64 (.f64 x x) x))
(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))

Outputs
(*.f64 (fma.f64 x x x) x)

Calls

2 calls:

20.0ms	x
2.0ms	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))`

Compiler

Compiled 12 to 5 computations (58.3% saved)

regimes3.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))

Outputs
#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))

Calls

2 calls:

1.0ms	x
1.0ms	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))

Results

Accuracy	Segments	Branch
98.0%	1	`x`
98.0%	1	`(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))`

Compiler

Compiled 12 to 5 computations (58.3% saved)

simplify5.0ms (0.2%)

Memory

5.5MiB live, 5.5MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	9	19

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (fma.f64 x x x) x)
#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))

Outputs
(*.f64 (fma.f64 x x x) x)
#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))

soundness322.0ms (12.9%)

Memory

-15.9MiB live, 134.4MiB allocated

Rules

10 118×	`lower-fma.f64`
10 118×	`lower-fma.f32`
5 604×	`lower-*.f64`
5 604×	`lower-*.f32`
4 498×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	17
0	7	13
1	30	13
2	199	13
3	1768	13
0	8450	12
0	11	144
1	30	144
2	64	144
3	103	144
4	286	144
5	1326	144
6	2335	144
7	3183	144
8	3904	144
9	4731	144
10	5074	144
11	5337	144
12	5549	144
13	5769	144
14	5852	144
15	6642	144
16	7744	144
0	8032	135

Stop Event

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

Compiler

Compiled 31 to 12 computations (61.3% saved)

preprocess30.0ms (1.2%)

Memory: -1.6MiB live, 72.5MiB allocated
Compiler: Compiled 58 to 26 computations (55.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	6	17
1	31	14
2	113	14
3	309	14
4	418	14
5	422	14
0	4	9
0	7	7
1	16	7
2	24	7
3	33	7
4	41	7
5	51	7
6	54	7
0	54	6

Iter	Nodes	Cost
0	6	17
1	31	14
2	113	14
3	309	14
4	418	14
5	422	14
0	4	9
0	7	7
1	16	7
2	24	7
3	33	7
4	41	7
5	51	7
6	54	7
0	54	6

start0.0ms (0%)

analyze0.0ms (0%)

sample733.0ms (29.3%)

explain56.0ms (2.3%)

preprocess81.0ms (3.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.2%)

localize15.0ms (0.6%)

series3.0ms (0.1%)

simplify170.0ms (6.8%)

rewrite336.0ms (13.4%)

eval47.0ms (1.9%)

prune40.0ms (1.6%)

simplify5.0ms (0.2%)

localize23.0ms (0.9%)

series6.0ms (0.2%)

simplify157.0ms (6.3%)

rewrite177.0ms (7.1%)

eval210.0ms (8.4%)

prune51.0ms (2.1%)

regimes22.0ms (0.9%)

regimes3.0ms (0.1%)

simplify5.0ms (0.2%)

soundness322.0ms (12.9%)

preprocess30.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	17
1	31	14
2	113	14
3	309	14
4	418	14
5	422	14
0	4	9
0	7	7
1	16	7
2	24	7
3	33	7
4	41	7
5	51	7
6	54	7
0	54	6