Metrics for Expression 3, p15

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

sample846.0ms (22.6%)

Memory

34.6MiB live, 1 878.2MiB allocated

Samples

475.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 244.0ms

ival-mult: 137.0ms (56% of total)

ival-<=: 45.0ms (18.4% of total)

ival-add: 39.0ms (16% of total)

exact: 11.0ms (4.5% of total)

ival-and: 10.0ms (4.1% of total)

ival-assert: 3.0ms (1.2% of total)

Bogosity

explain178.0ms (4.8%)

Memory

-39.1MiB live, 162.0MiB 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

29.0ms

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 (66.5% of total)

ival-add: 2.0ms (22.2% of total)

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

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

preprocess113.0ms (3%)

Memory

-21.4MiB live, 57.9MiB 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 x (fma.f64 x x x))

Compiler

Compiled 10 to 4 computations (60% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune0.0ms (0%)

Memory

1.5MiB live, 1.5MiB 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)

simplify5.0ms (0.1%)

Memory

14.0MiB live, 14.0MiB 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 x (fma.f64 x x x))
(.f64 x (.f64 x x))
x
(*.f64 x x)

localize30.0ms (0.8%)

Memory

4.0MiB live, 43.3MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.0234375	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
accuracy	0.09765625	(.f64 x (.f64 x x))

Samples

25.0ms

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 (67.5% of total)

ival-add: 1.0ms (22.5% of total)

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

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

series15.0ms (0.4%)

Memory

-24.4MiB live, 14.6MiB allocated

Counts

3 → 36

Calls

Call 1

Inputs
#<alt (+.f64 (.f64 x (.f64 x x)) (*.f64 x x))>
#<alt (.f64 x (.f64 x x))>
#<alt (*.f64 x x)>

Outputs
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 x))>
#<alt (* (pow x 2) (+ 1 x))>
#<alt (* (pow x 2) (+ 1 x))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>

Calls

9 calls:

Time	Variable		Point	Expression
11.0ms	x	@	inf	(* x (* x x))
1.0ms	x	@	-inf	(* x (* x x))
1.0ms	x	@	inf	(+ (* x (* x x)) (* x x))
1.0ms	x	@	-inf	(+ (* x (* x x)) (* x x))
0.0ms	x	@	0	(+ (* x (* x x)) (* x x))

simplify351.0ms (9.4%)

Memory

10.7MiB live, 488.5MiB 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) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 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)
(pow x 3)
(pow x 3)
(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 2)
(pow x 2)
(pow x 2)
(pow x 2)
(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 x (fma.f64 x x x))
(* (pow x 2) (+ 1 x))
(*.f64 x (fma.f64 x x x))
(* (pow x 2) (+ 1 x))
(*.f64 x (fma.f64 x x x))
(pow x 3)
(.f64 x (.f64 x x))
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 x (fma.f64 x x x))
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 x (fma.f64 x x x))
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 x (fma.f64 x x x))
(pow x 3)
(.f64 x (.f64 x x))
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 x (fma.f64 x x x))
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 x (fma.f64 x x x))
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 x (fma.f64 x x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.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)
(pow x 2)
(*.f64 x x)

rewrite878.0ms (23.4%)

Memory

-4.2MiB live, 989.2MiB 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 (.f64 x x) (.f64 x (*.f64 x x)))
(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
(+.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.f64 x x) x)) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x x) x))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x x x)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.f64 x x) x)) (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x x) x)))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (-.f64 x (.f64 x x)))) (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (-.f64 x (.f64 x x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 x (-.f64 (.f64 x x) x)))) (/.f64 (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (.f64 x x)) x)) (neg.f64 (.f64 x (-.f64 (*.f64 x x) x)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (fma.f64 x (-.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (fma.f64 x (-.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))))) (.f64 x (-.f64 (.f64 x x) x))) (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))))) (.f64 x (-.f64 (.f64 x x) x))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) x))) (.f64 x (-.f64 (.f64 x x) x))) (/.f64 (/.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) x))) (.f64 x (-.f64 (.f64 x x) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 (.f64 x x) (fma.f64 x (-.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))))) (/.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (neg.f64 (.f64 (.f64 x x) (fma.f64 x (-.f64 x (.f64 x x)) (.f64 x (.f64 x (*.f64 x x))))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 (.f64 x x) (fma.f64 x (-.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)))))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 (.f64 x x) (fma.f64 x (-.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x (-.f64 (.f64 x x) x)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))))))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x (-.f64 (.f64 x x) x)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))))))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x (-.f64 (.f64 x x) x)) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) x)))) (/.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (-.f64 (.f64 x x) x)) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) x)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (-.f64 (.f64 x x) x))) (.f64 (.f64 x (-.f64 (.f64 x x) x)) (.f64 x (-.f64 (.f64 x x) x)))) (/.f64 (.f64 (.f64 x (-.f64 (.f64 x x) x)) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (-.f64 (.f64 x x) x)) (.f64 x (-.f64 (.f64 x x) x)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x x) x)) (.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x x) x)) (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x x) x))))) (fma.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.f64 x x) x)) (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.f64 x x) x)) (fma.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x x) x)) (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x x) x)) (.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.f64 x x) x)) (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x x) x)))))) (/.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x x) x)) (.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x x) x)) (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x x) x)))) (fma.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.f64 x x) x)) (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.f64 x x) x)) (fma.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x x) x)) (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x x) x)) (.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.f64 x x) x)) (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x x) x)))))))
(-.f64 (/.f64 (.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.f64 x x) x)) (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.f64 x x) x))) (fma.f64 (.f64 x x) (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x x) x)) (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x x) x)))) (/.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x x) x)) (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x x) x))) (fma.f64 (.f64 x x) (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x x) x)) (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x x) x)))))
(fma.f64 x x (.f64 x (.f64 x x)))
(fma.f64 x (.f64 x x) (.f64 x x))
(fma.f64 x (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 x x) x)) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 (*.f64 x x) x))))
(fma.f64 x (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x (-.f64 (.f64 x x) x))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 (*.f64 x x) x))))
(fma.f64 (.f64 x x) x (.f64 x x))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 x (*.f64 x x)))
(fma.f64 (.f64 x x) (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x x) x)) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 (*.f64 x x) x))))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64) (*.f64 x x))
(fma.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x x) (-.f64 (.f64 x x) x)) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 (*.f64 x x) x))))
(fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x x)))
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(.f64 (.f64 (.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x (-.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))))))
(.f64 (.f64 (.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x x) x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))))))
(.f64 (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) x)) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (.f64 x x)) x))) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x x) x)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) x))))
(.f64 (.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x (.f64 x x)) x)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))))
(.f64 (.f64 (.f64 x (-.f64 (.f64 x (.f64 x x)) x)) x) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) x)))
(.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(.f64 (-.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) x)))
(.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (.f64 x x)) x)) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (.f64 x x)) x))) (.f64 x (fma.f64 x x x)))
(.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (-.f64 (.f64 x x) x) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (*.f64 x x)) x))) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (-.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (-.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (-.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (-.f64 x (.f64 x x))) (-.f64 (.f64 (.f64 x (.f64 x x)) (-.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))))))
(.f64 (/.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (.f64 x x) (fma.f64 x (-.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (-.f64 x (.f64 x x))))))) (.f64 (.f64 x x) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (-.f64 x (*.f64 x x))))))
(.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (.f64 x x)) x)) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))))) (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (*.f64 x (fma.f64 x x x)))))
(.f64 (pow.f64 (/.f64 x (.f64 x (fma.f64 x x x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (.f64 x x) x) (.f64 x (-.f64 (*.f64 x x) x))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 x (-.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))) (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))) (pow.f64 x #s(literal 27 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))))))
(.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 x (-.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (*.f64 x x))))))
(.f64 (pow.f64 (/.f64 (.f64 x (-.f64 (.f64 x x) x)) (.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (*.f64 x x)))))))))
(.f64 (pow.f64 (/.f64 (.f64 x (-.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) x)) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (.f64 x x)) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x x) x))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3/2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (-.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) (log.f64 x)))
(/.f64 (.f64 x (.f64 x (*.f64 x x))) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 (neg.f64 (.f64 x (.f64 x (*.f64 x x)))) (neg.f64 x))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64))
(pow.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 3/4 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 x))
(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
(.f64 (.f64 x (*.f64 x x)) #s(literal 1 binary64))
(.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.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)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (-.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) (log.f64 x)))
(/.f64 (.f64 x (.f64 x x)) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (.f64 x (.f64 x x))))
(/.f64 (neg.f64 (.f64 x (.f64 x x))) (neg.f64 x))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(*.f64 x x)
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 (.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(.f64 #s(literal 1 binary64) (.f64 x x))

eval32.0ms (0.9%)

Memory: 40.1MiB live, 115.2MiB allocated
Compiler: Compiled 12 407 to 680 computations (94.5% saved)

prune36.0ms (1%)

Memory

-4.8MiB live, 120.5MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	300	4	304
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	301	4	305

Accuracy

100.0%

Counts

305 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (.f64 x x) x (.f64 x x))
▶	100.0%	(*.f64 (fma.f64 x x x) x)
▶	54.5%	#s(approx (+ (* x (* x x)) (* x x)) (.f64 x (.f64 x x)))
▶	97.6%	#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))

Compiler

Compiled 28 to 11 computations (60.7% saved)

simplify8.0ms (0.2%)

Memory

-7.7MiB live, 27.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	320	(fma.f64 (.f64 x x) x (.f64 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	(.f64 x (.f64 x x))
cost-diff	0	#s(approx (+ (* x (* x x)) (* x x)) (.f64 x (.f64 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	11	64
0	18	52
1	27	52
2	33	52
3	45	52
4	45	52
5	57	52
6	57	52
0	57	52

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

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

localize31.0ms (0.8%)

Memory

6.3MiB live, 85.9MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.0234375	(fma.f64 (.f64 x x) x (.f64 x x))
accuracy	0	(fma.f64 x x x)
accuracy	0.0078125	(*.f64 (fma.f64 x x x) x)
accuracy	0	(*.f64 x x)
accuracy	0.09765625	(.f64 x (.f64 x x))
accuracy	29.108002380455655	#s(approx (+ (* x (* x x)) (* x x)) (.f64 x (.f64 x x)))
accuracy	0	(*.f64 x x)
accuracy	1.5393630731290409	#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))

Samples

21.0ms

256×

valid

Compiler

Compiled 59 to 10 computations (83.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 11.0ms (79.6% of total)

ival-add: 3.0ms (21.7% of total)

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

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

series11.0ms (0.3%)

Memory

-7.1MiB live, 31.7MiB allocated

Counts

7 → 84

Calls

Call 1

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

Outputs
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 x))>
#<alt (* (pow x 2) (+ 1 x))>
#<alt (* (pow x 2) (+ 1 x))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 x))>
#<alt (* (pow x 2) (+ 1 x))>
#<alt (* (pow x 2) (+ 1 x))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 x))>
#<alt (* (pow x 2) (+ 1 x))>
#<alt (* (pow x 2) (+ 1 x))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* -1 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (+ 1 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (+ 1 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 1 x))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 x))>
#<alt (* (pow x 2) (+ 1 x))>
#<alt (* (pow x 2) (+ 1 x))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(+ (* x (* x x)) (* x x))
1.0ms	x	@	-inf	(* (+ (* x x) x) x)
1.0ms	x	@	inf	(* (+ (* x x) x) x)
1.0ms	x	@	inf	(* x (* x x))
1.0ms	x	@	-inf	(+ (* (* x x) x) (* x x))

simplify225.0ms (6%)

Memory

1.2MiB live, 607.4MiB allocated

Algorithm

1×	egg-herbie

Rules

6 670×	`lower-fma.f64`
6 670×	`lower-fma.f32`
3 880×	`lower-*.f64`
3 880×	`lower-*.f32`
2 560×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	422
1	50	422
2	133	416
3	320	413
4	837	413
5	2792	413
6	4758	413
7	7460	413
0	8020	371

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 83

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

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

rewrite320.0ms (8.5%)

Memory

21.9MiB live, 1 009.5MiB allocated

Rules

5 994×	`lower-fma.f32`
5 990×	`lower-fma.f64`
4 834×	`lower-/.f64`
4 834×	`lower-/.f32`
3 256×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	54
0	18	42
1	48	42
2	288	42
3	2918	42
0	8868	42

Stop Event

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

Counts

7 → 550

Calls

Call 1

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

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

eval77.0ms (2.1%)

Memory: -35.0MiB live, 241.3MiB allocated
Compiler: Compiled 23 958 to 1 098 computations (95.4% saved)

prune52.0ms (1.4%)

Memory

29.3MiB live, 186.6MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	708	0	708
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	708	4	712

Accuracy

100.0%

Counts

712 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (.f64 x x) x (.f64 x x))
✓	100.0%	(*.f64 (fma.f64 x x x) x)
✓	54.5%	#s(approx (+ (* x (* x x)) (* x x)) (.f64 x (.f64 x x)))
✓	97.6%	#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))

Compiler

Compiled 62 to 18 computations (71% saved)

regimes7.0ms (0.2%)

Memory

-23.2MiB live, 15.2MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	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

11.5MiB live, 11.5MiB allocated

Accuracy

Total -27.6b remaining (-1790.9%)

Threshold costs -27.6b (-1790.9%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))
#s(approx (+ (* x (* x x)) (* x x)) (.f64 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
97.6%	1	`x`
97.6%	1	`(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))`

Compiler

Compiled 12 to 5 computations (58.3% saved)

simplify5.0ms (0.1%)

Memory

18.0MiB live, 18.0MiB 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)
(*.f64 x (fma.f64 x x x))
#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))

soundness295.0ms (7.9%)

Memory

-23.2MiB live, 212.9MiB 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	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
0	4	17
0	7	13
1	30	13
2	199	13
3	1768	13
0	8450	12

Stop Event

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

Compiler

Compiled 31 to 12 computations (61.3% saved)

preprocess226.0ms (6%)

Memory: 22.2MiB live, 152.5MiB 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%)

sample846.0ms (22.6%)

explain178.0ms (4.8%)

preprocess113.0ms (3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.1%)

localize30.0ms (0.8%)

series15.0ms (0.4%)

simplify351.0ms (9.4%)

rewrite878.0ms (23.4%)

eval32.0ms (0.9%)

prune36.0ms (1%)

simplify8.0ms (0.2%)

localize31.0ms (0.8%)

series11.0ms (0.3%)

simplify225.0ms (6%)

rewrite320.0ms (8.5%)

eval77.0ms (2.1%)

prune52.0ms (1.4%)

regimes7.0ms (0.2%)

regimes3.0ms (0.1%)

simplify5.0ms (0.1%)

soundness295.0ms (7.9%)

preprocess226.0ms (6%)

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