Metrics for Jmat.Real.erfi, branch x less than or equal to 0.5

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	74.9%	25.1%	0%	0%	0%	0
100%	74.9%	0%	25.1%	0%	0%	0%	1

Compiler

Compiled 71 to 30 computations (57.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

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

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

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

const: 0.0ms (0% of total)

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

ival-<=: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample2.0s (14.9%)

Results

1.5s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-mult: 582.0ms (45.4% of total)

ival-div: 266.0ms (20.7% of total)

ival-add: 142.0ms (11.1% of total)

ival-fabs: 105.0ms (8.2% of total)

ival-sqrt: 62.0ms (4.8% of total)

ival-<=: 56.0ms (4.4% of total)

ival-pi: 43.0ms (3.4% of total)

const: 25.0ms (1.9% of total)

backward-pass: 3.0ms (0.2% of total)

Bogosity

preprocess351.0ms (2.6%)

Algorithm

2×	egg-herbie

Rules

5234×	`-lowering-.f32`
5234×	`-lowering-.f64`
2454×	`distribute-lft-out`
2152×	`+-lowering-+.f64`
2152×	`+-lowering-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	136
1	169	115
2	397	79
3	2125	73
4	6790	73
0	31	45
1	77	38
2	260	26
3	1279	24
4	2627	24
5	4625	24
6	5711	24
7	5984	24
8	6012	24
9	6014	24
10	6014	24
11	7707	24
12	7850	24
13	7951	24
0	8031	24

Stop Event

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

Calls

Call 1

Inputs

(fabs (* (/ 1 (sqrt (PI))) (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))))

Outputs

(fabs (* (/ 1 (sqrt (PI))) (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))))

(fabs.f64 (*.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64))))))) (sqrt.f64 (PI.f64)))))

Call 2

Inputs

(fabs (* (/ 1 (sqrt (PI))) (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))))

(fabs (* (/ 1 (sqrt (PI))) (+ (+ (+ (* 2 (fabs (neg x))) (* (/ 2 3) (* (* (fabs (neg x)) (fabs (neg x))) (fabs (neg x))))) (* (/ 1 5) (* (* (* (* (fabs (neg x)) (fabs (neg x))) (fabs (neg x))) (fabs (neg x))) (fabs (neg x))))) (* (/ 1 21) (* (* (* (* (* (* (fabs (neg x)) (fabs (neg x))) (fabs (neg x))) (fabs (neg x))) (fabs (neg x))) (fabs (neg x))) (fabs (neg x)))))))

(neg (fabs (* (/ 1 (sqrt (PI))) (+ (+ (+ (* 2 (fabs (neg x))) (* (/ 2 3) (* (* (fabs (neg x)) (fabs (neg x))) (fabs (neg x))))) (* (/ 1 5) (* (* (* (* (fabs (neg x)) (fabs (neg x))) (fabs (neg x))) (fabs (neg x))) (fabs (neg x))))) (* (/ 1 21) (* (* (* (* (* (* (fabs (neg x)) (fabs (neg x))) (fabs (neg x))) (fabs (neg x))) (fabs (neg x))) (fabs (neg x))) (fabs (neg x))))))))

Outputs
(fabs (* (/ 1 (sqrt (PI))) (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))))
(fabs (* (rsqrt (PI)) (* (fabs x) (sum4 2 (* 2/3 (* x x)) (* 1/5 (pow x 4)) (* 1/21 (pow x 6))))))
(fabs (* (/ 1 (sqrt (PI))) (+ (+ (+ (* 2 (fabs (neg x))) (* (/ 2 3) (* (* (fabs (neg x)) (fabs (neg x))) (fabs (neg x))))) (* (/ 1 5) (* (* (* (* (fabs (neg x)) (fabs (neg x))) (fabs (neg x))) (fabs (neg x))) (fabs (neg x))))) (* (/ 1 21) (* (* (* (* (* (* (fabs (neg x)) (fabs (neg x))) (fabs (neg x))) (fabs (neg x))) (fabs (neg x))) (fabs (neg x))) (fabs (neg x)))))))
(fabs (* (rsqrt (PI)) (* (fabs x) (sum4 2 (* 2/3 (* x x)) (* 1/5 (pow x 4)) (* 1/21 (pow x 6))))))
(neg (fabs (* (/ 1 (sqrt (PI))) (+ (+ (+ (* 2 (fabs (neg x))) (* (/ 2 3) (* (* (fabs (neg x)) (fabs (neg x))) (fabs (neg x))))) (* (/ 1 5) (* (* (* (* (fabs (neg x)) (fabs (neg x))) (fabs (neg x))) (fabs (neg x))) (fabs (neg x))))) (* (/ 1 21) (* (* (* (* (* (* (fabs (neg x)) (fabs (neg x))) (fabs (neg x))) (fabs (neg x))) (fabs (neg x))) (fabs (neg x))) (fabs (neg x))))))))
(neg (fabs (* (rsqrt (PI)) (* (fabs x) (sum4 2 (* 2/3 (* x x)) (* 1/5 (pow x 4)) (* 1/21 (pow x 6)))))))

Symmetry

(abs x)

explain312.0ms (2.3%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(+.f64 (.f64 #s(literal 2 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))))`
-	-	`(.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))`
-	-	`#s(literal 21 binary64)`
-	-	`(/.f64 #s(literal 2 binary64) #s(literal 3 binary64))`
-	-	`#s(literal 2 binary64)`
-	-	`(*.f64 #s(literal 2 binary64) (fabs.f64 x))`
-	-	`(sqrt.f64 (PI.f64))`
-	-	`(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))`
-	-	`(fabs.f64 x)`
-	-	`(*.f64 (fabs.f64 x) (fabs.f64 x))`
-	-	`(/.f64 #s(literal 1 binary64) #s(literal 5 binary64))`
-	-	`(.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))`
-	-	`(PI.f64)`
-	-	(+.f64 (+.f64 (+.f64 (.f64 #s(literal 2 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))
-	-	`(+.f64 (+.f64 (.f64 #s(literal 2 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))`
-	-	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))`
-	-	`(.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))`
-	-	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (.f64 #s(literal 2 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))
-	-	`(.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))`
-	-	`(.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))`
-	-	`(/.f64 #s(literal 1 binary64) #s(literal 21 binary64))`
-	-	`(.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))`
-	-	`#s(literal 3 binary64)`
-	-	(fabs.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (.f64 #s(literal 2 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))))
-	-	`#s(literal 1 binary64)`
-	-	`#s(literal 5 binary64)`
-	-	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))`

Results

142.0ms

512×

valid

Compiler

Compiled 880 to 86 computations (90.2% saved)

Precisions

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

ival-mult: 34.0ms (45.9% of total)

ival-div: 14.0ms (18.9% of total)

ival-pi: 7.0ms (9.5% of total)

ival-add: 7.0ms (9.5% of total)

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

ival-sqrt: 4.0ms (5.4% of total)

const: 2.0ms (2.7% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 27 to 18 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fabs.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (.f64 #s(literal 2 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))))
▶	99.9%	(fabs.f64 (.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))) (sqrt.f64 (PI.f64)))))

Status

Accuracy

Program

▶

99.8%

(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))))

▶

99.9%

(fabs.f64 (*.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64))))))) (sqrt.f64 (PI.f64)))))

Compiler

Compiled 95 to 46 computations (51.6% saved)

simplify237.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	51968	(+.f64 (+.f64 (.f64 #s(literal 2 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))
✓	cost-diff	97536	(+.f64 (+.f64 (+.f64 (.f64 #s(literal 2 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))
✓	cost-diff	97664	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (.f64 #s(literal 2 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))
✓	cost-diff	97664	(fabs.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (.f64 #s(literal 2 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))))) (sqrt.f64 (PI.f64)))
✓	cost-diff	0	(fabs.f64 x)
✓	cost-diff	0	(.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))) (sqrt.f64 (PI.f64))))
✓	cost-diff	0	(fabs.f64 (.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))) (sqrt.f64 (PI.f64)))))

Rules

4782×	`-lowering-.f32`
4782×	`-lowering-.f64`
4474×	`+-lowering-+.f64`
4474×	`+-lowering-+.f32`
2874×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	394
1	118	336
2	438	302
3	1826	287
4	3391	287
5	5084	287
6	6844	287
7	6903	287
8	6907	287
9	6907	287
0	8657	287

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(fabs (* (fabs x) (/ (+ 2 (* (* x x) (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21)))))) (sqrt (PI)))))
(* (fabs x) (/ (+ 2 (* (* x x) (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21)))))) (sqrt (PI))))
(fabs x)
x
(/ (+ 2 (* (* x x) (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21)))))) (sqrt (PI)))
(+ 2 (* (* x x) (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21))))))
2
(* (* x x) (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21)))))
(* x x)
(+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21))))
2/3
(* (* x x) (+ 1/5 (* (* x x) 1/21)))
(+ 1/5 (* (* x x) 1/21))
1/5
(* (* x x) 1/21)
1/21
(sqrt (PI))
(PI)
(fabs (* (/ 1 (sqrt (PI))) (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))))
(* (/ 1 (sqrt (PI))) (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))
(/ 1 (sqrt (PI)))
1
(sqrt (PI))
(PI)
(+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))
(+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x))))
(+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x))))
(* 2 (fabs x))
2
(fabs x)
x
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
(/ 2 3)
3
(* (* (fabs x) (fabs x)) (fabs x))
(* (fabs x) (fabs x))
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
(/ 1 5)
5
(* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x))
(* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x))
(* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
(/ 1 21)
21
(* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))
(* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))

Outputs
(fabs (* (fabs x) (/ (+ 2 (* (* x x) (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21)))))) (sqrt (PI)))))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))) (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))))
(* (fabs x) (/ (+ 2 (* (* x x) (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21)))))) (sqrt (PI))))
(.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))) (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))))
(fabs x)
(fabs.f64 x)
x
(/ (+ 2 (* (* x x) (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21)))))) (sqrt (PI)))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))))) (sqrt.f64 (PI.f64)))
(+ 2 (* (* x x) (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21))))))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))
2
#s(literal 2 binary64)
(* (* x x) (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21)))))
(.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))))
(* x x)
(*.f64 x x)
(+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21))))
(+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))
2/3
#s(literal 2/3 binary64)
(* (* x x) (+ 1/5 (* (* x x) 1/21)))
(.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))
(+ 1/5 (* (* x x) 1/21))
(+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))
1/5
#s(literal 1/5 binary64)
(* (* x x) 1/21)
(.f64 (.f64 x x) #s(literal 1/21 binary64))
1/21
#s(literal 1/21 binary64)
(sqrt (PI))
(sqrt.f64 (PI.f64))
(PI)
(PI.f64)
(fabs (* (/ 1 (sqrt (PI))) (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))) (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))))
(* (/ 1 (sqrt (PI))) (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))
(.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))) (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))))
(/ 1 (sqrt (PI)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
1
#s(literal 1 binary64)
(sqrt (PI))
(sqrt.f64 (PI.f64))
(PI)
(PI.f64)
(+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))
(.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))))
(+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x))))
(.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64)))))))
(+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x))))
(.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64)))))
(* 2 (fabs x))
(*.f64 (fabs.f64 x) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(fabs x)
(fabs.f64 x)
x
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
(.f64 x (.f64 x (*.f64 (fabs.f64 x) #s(literal 2/3 binary64))))
(/ 2 3)
#s(literal 2/3 binary64)
3
#s(literal 3 binary64)
(* (* (fabs x) (fabs x)) (fabs x))
(.f64 x (.f64 x (fabs.f64 x)))
(* (fabs x) (fabs x))
(*.f64 x x)
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
(.f64 x (.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x (*.f64 x (fabs.f64 x))))))
(/ 1 5)
#s(literal 1/5 binary64)
5
#s(literal 5 binary64)
(* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x))
(.f64 (fabs.f64 x) (.f64 x (.f64 x (.f64 x x))))
(* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x))
(.f64 x (.f64 x (*.f64 x x)))
(* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
(.f64 (.f64 x x) (.f64 x (.f64 #s(literal 1/21 binary64) (.f64 x (.f64 x (*.f64 x (fabs.f64 x)))))))
(/ 1 21)
#s(literal 1/21 binary64)
21
#s(literal 21 binary64)
(* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))
(.f64 (fabs.f64 x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))
(* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))
(.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))

localize209.0ms (1.6%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (.f64 #s(literal 2 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))
✓	accuracy	99.8%	(.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))
✓	accuracy	99.8%	(.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	99.8%	(.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))
✓	accuracy	99.8%	(.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/21 binary64))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))

Results

139.0ms

256×

valid

Compiler

Compiled 564 to 42 computations (92.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-mult: 32.0ms (44.2% of total)

...c/correct-round.rkt:119:19: 14.0ms (19.3% of total)

ival-div: 11.0ms (15.2% of total)

ival-add: 7.0ms (9.7% of total)

ival-fabs: 4.0ms (5.5% of total)

ival-sqrt: 2.0ms (2.8% of total)

ival-pi: 1.0ms (1.4% of total)

const: 1.0ms (1.4% of total)

backward-pass: 0.0ms (0% of total)

series37.0ms (0.3%)

Counts

14 → 156

Calls

Call 1

Inputs
#<alt (fabs (* (fabs x) (/ (+ 2 (* (* x x) (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21)))))) (sqrt (PI)))))>
#<alt (* (fabs x) (/ (+ 2 (* (* x x) (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21)))))) (sqrt (PI))))>
#<alt (fabs x)>
#<alt (/ (+ 2 (* (* x x) (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21)))))) (sqrt (PI)))>
#<alt (fabs (* (/ 1 (sqrt (PI))) (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))))>
#<alt (* (/ 1 (sqrt (PI))) (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))>
#<alt (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))>
#<alt (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x))))>
#<alt (sqrt (PI))>
#<alt (* (* x x) 1/21)>
#<alt (* (* x x) (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21)))))>
#<alt (* (* x x) (+ 1/5 (* (* x x) 1/21)))>
#<alt (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))>
#<alt (* (* (fabs x) (fabs x)) (fabs x))>

Outputs
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (fabs x)))>
#<alt (+ (* 2/3 (* (* (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 2 (* (sqrt (/ 1 (PI))) (fabs x))))>
#<alt (+ (* 2 (* (sqrt (/ 1 (PI))) (fabs x))) (* (pow x 2) (+ (* 1/5 (* (* (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 2/3 (* (sqrt (/ 1 (PI))) (fabs x))))))>
#<alt (+ (* 2 (* (sqrt (/ 1 (PI))) (fabs x))) (* (pow x 2) (+ (* 2/3 (* (sqrt (/ 1 (PI))) (fabs x))) (* (pow x 2) (+ (* 1/21 (* (* (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 1/5 (* (sqrt (/ 1 (PI))) (fabs x))))))))>
#<alt (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (* 1/5 (* (/ (fabs x) (pow x 2)) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (+ (* 1/5 (* (/ (fabs x) (pow x 2)) (sqrt (/ 1 (PI))))) (* 2/3 (* (/ (fabs x) (pow x 4)) (sqrt (/ 1 (PI))))))))>
#<alt (* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (+ (* 1/5 (* (/ (fabs x) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 2/3 (* (/ (fabs x) (pow x 4)) (sqrt (/ 1 (PI))))) (* 2 (* (/ (fabs x) (pow x 6)) (sqrt (/ 1 (PI)))))))))>
#<alt (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (* 1/5 (* (/ (fabs x) (pow x 2)) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (+ (* 1/5 (* (/ (fabs x) (pow x 2)) (sqrt (/ 1 (PI))))) (* 2/3 (* (/ (fabs x) (pow x 4)) (sqrt (/ 1 (PI))))))))>
#<alt (* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (+ (* 1/5 (* (/ (fabs x) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 2/3 (* (/ (fabs x) (pow x 4)) (sqrt (/ 1 (PI))))) (* 2 (* (/ (fabs x) (pow x 6)) (sqrt (/ 1 (PI)))))))))>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (* 2 (sqrt (/ 1 (PI))))>
#<alt (+ (* 2/3 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI)))))>
#<alt (+ (* 2 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 1/5 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 2/3 (sqrt (/ 1 (PI)))))))>
#<alt (+ (* 2 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 2/3 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 1/21 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 1/5 (sqrt (/ 1 (PI)))))))))>
#<alt (* 1/21 (* (pow x 6) (sqrt (/ 1 (PI)))))>
#<alt (* (pow x 6) (+ (* 1/21 (sqrt (/ 1 (PI)))) (* 1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 6) (+ (* 1/21 (sqrt (/ 1 (PI)))) (+ (* 1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* 2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))))))>
#<alt (* (pow x 6) (+ (* 1/21 (sqrt (/ 1 (PI)))) (+ (* 1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* 2 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))))>
#<alt (* 1/21 (* (pow x 6) (sqrt (/ 1 (PI)))))>
#<alt (* (pow x 6) (+ (* 1/21 (sqrt (/ 1 (PI)))) (* 1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 6) (+ (* 1/21 (sqrt (/ 1 (PI)))) (+ (* 1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* 2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))))))>
#<alt (* (pow x 6) (+ (* 1/21 (sqrt (/ 1 (PI)))) (+ (* 1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* 2 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))))>
#<alt (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))))>
#<alt (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))))>
#<alt (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))))>
#<alt (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))))>
#<alt (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))))>
#<alt (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))))>
#<alt (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))))>
#<alt (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))))>
#<alt (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))))>
#<alt (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))))>
#<alt (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))))>
#<alt (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))))>
#<alt (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))>
#<alt (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))>
#<alt (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))>
#<alt (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))>
#<alt (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))>
#<alt (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))>
#<alt (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))>
#<alt (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))>
#<alt (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))>
#<alt (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))>
#<alt (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))>
#<alt (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))>
#<alt (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))>
#<alt (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))>
#<alt (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))>
#<alt (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))>
#<alt (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))>
#<alt (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))>
#<alt (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))>
#<alt (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))>
#<alt (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))>
#<alt (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))>
#<alt (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))>
#<alt (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))>
#<alt (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))>
#<alt (* 1/21 (pow x 6))>
#<alt (* (pow x 6) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/21 (pow x 6))>
#<alt (* (pow x 6) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/5 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))>
#<alt (* 1/21 (pow x 4))>
#<alt (* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 1/21 (pow x 4))>
#<alt (* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 2/3 (pow (fabs x) 3))>
#<alt (* 2/3 (pow (fabs x) 3))>
#<alt (* 2/3 (pow (fabs x) 3))>
#<alt (* 2/3 (pow (fabs x) 3))>
#<alt (* 2/3 (pow (fabs x) 3))>
#<alt (* 2/3 (pow (fabs x) 3))>
#<alt (* 2/3 (pow (fabs x) 3))>
#<alt (* 2/3 (pow (fabs x) 3))>
#<alt (* 2/3 (pow (fabs x) 3))>
#<alt (* 2/3 (pow (fabs x) 3))>
#<alt (* 2/3 (pow (fabs x) 3))>
#<alt (* 2/3 (pow (fabs x) 3))>
#<alt (pow (fabs x) 3)>
#<alt (pow (fabs x) 3)>
#<alt (pow (fabs x) 3)>
#<alt (pow (fabs x) 3)>
#<alt (pow (fabs x) 3)>
#<alt (pow (fabs x) 3)>
#<alt (pow (fabs x) 3)>
#<alt (pow (fabs x) 3)>
#<alt (pow (fabs x) 3)>
#<alt (pow (fabs x) 3)>
#<alt (pow (fabs x) 3)>
#<alt (pow (fabs x) 3)>

Calls

39 calls:

Time	Variable		Point	Expression
17.0ms	x	@	0	(* (* x x) 1/21)
4.0ms	x	@	inf	(* (/ 1 (sqrt (PI))) (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))
3.0ms	x	@	0	(* (/ 1 (sqrt (PI))) (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))
3.0ms	x	@	-inf	(* (/ 1 (sqrt (PI))) (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))
1.0ms	x	@	inf	(* (fabs x) (/ (+ 2 (* (* x x) (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21)))))) (sqrt (PI))))

rewrite471.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

4318×	`-lowering-.f32`
4318×	`-lowering-.f64`
2082×	`fma-lowering-fma.f32`
2082×	`fma-lowering-fma.f64`
1894×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	253
1	238	203
2	2233	192
0	8258	192

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 620

Calls

Call 1

Inputs
(fabs (* (fabs x) (/ (+ 2 (* (* x x) (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21)))))) (sqrt (PI)))))
(* (fabs x) (/ (+ 2 (* (* x x) (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21)))))) (sqrt (PI))))
(fabs x)
(/ (+ 2 (* (* x x) (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21)))))) (sqrt (PI)))
(fabs (* (/ 1 (sqrt (PI))) (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))))
(* (/ 1 (sqrt (PI))) (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))
(+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))
(+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x))))
(sqrt (PI))
(* (* x x) 1/21)
(* (* x x) (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21)))))
(* (* x x) (+ 1/5 (* (* x x) 1/21)))
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
(* (* (fabs x) (fabs x)) (fabs x))

Outputs
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))) (fabs.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x))))
(fabs.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))) (fabs.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)))))
(fabs.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))) (fabs.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x))))))
(fabs.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))) (fabs.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)))))))
(fabs.f64 (.f64 x (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))) (sqrt.f64 (PI.f64)))))
(fabs.f64 (.f64 x (neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))) (sqrt.f64 (PI.f64))))))
(fabs.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))) (sqrt.f64 (PI.f64)))))
(fabs.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))) (sqrt.f64 (PI.f64))))))
(fabs.f64 (.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))) (sqrt.f64 (PI.f64))))))
(fabs.f64 (.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))) (sqrt.f64 (PI.f64)))))
(fabs.f64 (.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))) (sqrt.f64 (PI.f64))))))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))) (sqrt.f64 (PI.f64))) (-.f64 #s(literal 0 binary64) x)))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))) (sqrt.f64 (PI.f64))) (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(fabs.f64 (.f64 (neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))) (sqrt.f64 (PI.f64)))) x))
(fabs.f64 (.f64 (neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))) (sqrt.f64 (PI.f64)))) (-.f64 #s(literal 0 binary64) x)))
(fabs.f64 (.f64 (neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))) (sqrt.f64 (PI.f64)))) (neg.f64 (fabs.f64 x))))
(fabs.f64 (.f64 (neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))) (sqrt.f64 (PI.f64)))) (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(fabs.f64 (-.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))) (fabs.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x))) #s(literal 0 binary64)))
(/.f64 (fabs.f64 x) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))))))))
(/.f64 (fabs.f64 (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))) (sqrt.f64 (PI.f64)))
(/.f64 (fabs.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64))) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))))
(/.f64 (fabs.f64 (.f64 (fabs.f64 x) (+.f64 (neg.f64 (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))) #s(literal -2 binary64)))) (sqrt.f64 (PI.f64)))
(/.f64 (fabs.f64 (.f64 (+.f64 (neg.f64 (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))) #s(literal -2 binary64)) (fabs.f64 x))) (sqrt.f64 (PI.f64)))
(.f64 (fabs.f64 x) (fabs.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))) (sqrt.f64 (PI.f64)))))
(.f64 #s(literal 1 binary64) (fabs.f64 (.f64 x (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))) (sqrt.f64 (PI.f64))))))
(.f64 (fabs.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))) (sqrt.f64 (PI.f64)))) (fabs.f64 x))
(.f64 (fabs.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))))))) (fabs.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)))
(.f64 (fabs.f64 (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(/.f64 (fabs.f64 x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))))
(/.f64 (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))))) (sqrt.f64 (PI.f64)))
(/.f64 (neg.f64 (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))))))
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(/.f64 (.f64 (-.f64 #s(literal 4/9 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))) (.f64 x x)) (-.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))
(.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))))))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))))))
(.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))
(.f64 (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))))) x)
(.f64 (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))) (fabs.f64 x)) (fabs.f64 x))
(+.f64 (.f64 (.f64 x x) #s(literal 1/5 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/21 binary64)))))
(+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/21 binary64)))) (.f64 (.f64 x x) #s(literal 1/5 binary64)))
(fma.f64 x (.f64 x #s(literal 1/5 binary64)) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))
(fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/21 binary64))) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))
(fma.f64 x (.f64 (.f64 x #s(literal 1/21 binary64)) (.f64 x x)) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1/5 binary64)) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (.f64 (.f64 x x) #s(literal 1/21 binary64))) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))
(fma.f64 (.f64 x x) #s(literal 1/5 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/21 binary64)) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))
(fma.f64 #s(literal 1/5 binary64) (.f64 x x) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))
(fma.f64 #s(literal 1/21 binary64) (.f64 x (.f64 x (.f64 x x))) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/21 binary64)) (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/21 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/21 binary64)) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))
(fma.f64 (.f64 #s(literal 1/5 binary64) x) x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))
(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/21 binary64)) x) x (.f64 (*.f64 x x) #s(literal 1/5 binary64)))
(fma.f64 (.f64 #s(literal 1/5 binary64) (fabs.f64 x)) (fabs.f64 x) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))
(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/21 binary64)) (fabs.f64 x)) (fabs.f64 x) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))
(/.f64 (+.f64 (.f64 #s(literal 1/125 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 #s(literal 1/9261 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/5 binary64)) (.f64 (.f64 x x) #s(literal 1/5 binary64))) (-.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/21 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/21 binary64))))) (.f64 (.f64 (.f64 x x) #s(literal 1/5 binary64)) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/5 binary64)) (.f64 (.f64 x x) #s(literal 1/5 binary64))) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/21 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/21 binary64)))))) (-.f64 (.f64 (.f64 x x) #s(literal 1/5 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/21 binary64))))))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/125 binary64) (.f64 #s(literal 1/9261 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 #s(literal 1/25 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/21 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 1/21 binary64)) #s(literal 1/5 binary64)))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/25 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/441 binary64)))) (-.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1/125 binary64) (.f64 #s(literal 1/9261 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x x)) (+.f64 #s(literal 1/25 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/21 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 1/21 binary64)) #s(literal 1/5 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/25 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/441 binary64))) (.f64 x x)) (-.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))
(.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))
(.f64 (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))) x)
(.f64 (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))) (fabs.f64 x)) (fabs.f64 x))
(.f64 (fabs.f64 x) (.f64 (*.f64 x x) #s(literal 2/3 binary64)))
(.f64 (.f64 x x) (*.f64 (fabs.f64 x) #s(literal 2/3 binary64)))
(.f64 #s(literal 2/3 binary64) (pow.f64 (.f64 x x) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (.f64 x x) #s(literal 3/2 binary64)) #s(literal 2/3 binary64))
(.f64 (.f64 (*.f64 x x) #s(literal 2/3 binary64)) (fabs.f64 x))
(.f64 (.f64 #s(literal 2/3 binary64) (fabs.f64 x)) (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 3 binary64)))
(fabs.f64 (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)))
(fabs.f64 (.f64 x (.f64 x x)))
(fabs.f64 (.f64 (.f64 x x) (-.f64 #s(literal 0 binary64) x)))
(fabs.f64 (neg.f64 (.f64 x (.f64 x x))))
(fabs.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 #s(literal 0 binary64) x))))
(fabs.f64 (.f64 x (neg.f64 (.f64 x x))))
(fabs.f64 (.f64 x (.f64 x (-.f64 #s(literal 0 binary64) x))))
(fabs.f64 (.f64 x (.f64 (-.f64 #s(literal 0 binary64) x) x)))
(fabs.f64 (.f64 (fabs.f64 x) (neg.f64 (.f64 x x))))
(fabs.f64 (.f64 (fabs.f64 x) (.f64 x (-.f64 #s(literal 0 binary64) x))))
(fabs.f64 (.f64 (fabs.f64 x) (.f64 (-.f64 #s(literal 0 binary64) x) x)))
(fabs.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (neg.f64 (.f64 x x))))
(fabs.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x (-.f64 #s(literal 0 binary64) x))))
(fabs.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (-.f64 #s(literal 0 binary64) x) x)))
(fabs.f64 (.f64 (neg.f64 (fabs.f64 x)) (.f64 x x)))
(fabs.f64 (.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (.f64 x x))))
(fabs.f64 (.f64 (neg.f64 (fabs.f64 x)) (.f64 x (-.f64 #s(literal 0 binary64) x))))
(fabs.f64 (.f64 (neg.f64 (fabs.f64 x)) (.f64 (-.f64 #s(literal 0 binary64) x) x)))
(fabs.f64 (.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (.f64 x x)))
(fabs.f64 (.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (neg.f64 (.f64 x x))))
(fabs.f64 (.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (.f64 x (-.f64 #s(literal 0 binary64) x))))
(fabs.f64 (.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (.f64 (-.f64 #s(literal 0 binary64) x) x)))
(fabs.f64 (.f64 (.f64 x x) (neg.f64 (fabs.f64 x))))
(fabs.f64 (.f64 (.f64 x x) (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(fabs.f64 (.f64 (neg.f64 (.f64 x x)) x))
(fabs.f64 (.f64 (neg.f64 (.f64 x x)) (fabs.f64 x)))
(fabs.f64 (.f64 (neg.f64 (.f64 x x)) (-.f64 #s(literal 0 binary64) x)))
(fabs.f64 (.f64 (neg.f64 (.f64 x x)) (neg.f64 (fabs.f64 x))))
(fabs.f64 (.f64 (neg.f64 (.f64 x x)) (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(fabs.f64 (.f64 (.f64 x (-.f64 #s(literal 0 binary64) x)) x))
(fabs.f64 (.f64 (.f64 x (-.f64 #s(literal 0 binary64) x)) (fabs.f64 x)))
(fabs.f64 (.f64 (.f64 x (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) x)))
(fabs.f64 (.f64 (.f64 x (-.f64 #s(literal 0 binary64) x)) (neg.f64 (fabs.f64 x))))
(fabs.f64 (.f64 (.f64 x (-.f64 #s(literal 0 binary64) x)) (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(fabs.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) x) x) x))
(fabs.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) x) x) (fabs.f64 x)))
(fabs.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) x) x) (-.f64 #s(literal 0 binary64) x)))
(fabs.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) x) x) (neg.f64 (fabs.f64 x))))
(fabs.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) x) x) (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(pow.f64 (fabs.f64 x) #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (fabs.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (fabs.f64 x))) #s(literal 3 binary64))
(.f64 x (.f64 x (fabs.f64 x)))
(.f64 (fabs.f64 x) (.f64 x x))
(.f64 (.f64 x x) (fabs.f64 x))
(.f64 (.f64 (fabs.f64 x) x) x)
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 3/2 binary64)) (pow.f64 (fabs.f64 x) #s(literal 3/2 binary64)))

simplify236.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

4594×	`-lowering-.f32`
4594×	`-lowering-.f64`
2246×	`+-lowering-+.f64`
2246×	`+-lowering-+.f32`
2000×	`sum3-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	137	2492
1	456	2377
2	1562	2314
3	4538	2268
4	7385	2252
0	8230	2252

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

Inputs
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(* 2 (* (sqrt (/ 1 (PI))) (fabs x)))
(+ (* 2/3 (* (* (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 2 (* (sqrt (/ 1 (PI))) (fabs x))))
(+ (* 2 (* (sqrt (/ 1 (PI))) (fabs x))) (* (pow x 2) (+ (* 1/5 (* (* (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 2/3 (* (sqrt (/ 1 (PI))) (fabs x))))))
(+ (* 2 (* (sqrt (/ 1 (PI))) (fabs x))) (* (pow x 2) (+ (* 2/3 (* (sqrt (/ 1 (PI))) (fabs x))) (* (pow x 2) (+ (* 1/21 (* (* (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 1/5 (* (sqrt (/ 1 (PI))) (fabs x))))))))
(* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (* 1/5 (* (/ (fabs x) (pow x 2)) (sqrt (/ 1 (PI)))))))
(* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (+ (* 1/5 (* (/ (fabs x) (pow x 2)) (sqrt (/ 1 (PI))))) (* 2/3 (* (/ (fabs x) (pow x 4)) (sqrt (/ 1 (PI))))))))
(* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (+ (* 1/5 (* (/ (fabs x) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 2/3 (* (/ (fabs x) (pow x 4)) (sqrt (/ 1 (PI))))) (* 2 (* (/ (fabs x) (pow x 6)) (sqrt (/ 1 (PI)))))))))
(* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (* 1/5 (* (/ (fabs x) (pow x 2)) (sqrt (/ 1 (PI)))))))
(* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (+ (* 1/5 (* (/ (fabs x) (pow x 2)) (sqrt (/ 1 (PI))))) (* 2/3 (* (/ (fabs x) (pow x 4)) (sqrt (/ 1 (PI))))))))
(* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (+ (* 1/5 (* (/ (fabs x) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 2/3 (* (/ (fabs x) (pow x 4)) (sqrt (/ 1 (PI))))) (* 2 (* (/ (fabs x) (pow x 6)) (sqrt (/ 1 (PI)))))))))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(* 2 (sqrt (/ 1 (PI))))
(+ (* 2/3 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI)))))
(+ (* 2 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 1/5 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 2/3 (sqrt (/ 1 (PI)))))))
(+ (* 2 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 2/3 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 1/21 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 1/5 (sqrt (/ 1 (PI)))))))))
(* 1/21 (* (pow x 6) (sqrt (/ 1 (PI)))))
(* (pow x 6) (+ (* 1/21 (sqrt (/ 1 (PI)))) (* 1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))
(* (pow x 6) (+ (* 1/21 (sqrt (/ 1 (PI)))) (+ (* 1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* 2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))))))
(* (pow x 6) (+ (* 1/21 (sqrt (/ 1 (PI)))) (+ (* 1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* 2 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))))
(* 1/21 (* (pow x 6) (sqrt (/ 1 (PI)))))
(* (pow x 6) (+ (* 1/21 (sqrt (/ 1 (PI)))) (* 1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))
(* (pow x 6) (+ (* 1/21 (sqrt (/ 1 (PI)))) (+ (* 1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* 2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))))))
(* (pow x 6) (+ (* 1/21 (sqrt (/ 1 (PI)))) (+ (* 1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* 2 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))))
(fabs (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))))
(fabs (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))))
(fabs (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))))
(fabs (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))))
(fabs (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))))
(fabs (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))))
(fabs (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))))
(fabs (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))))
(fabs (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))))
(fabs (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))))
(fabs (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))))
(fabs (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))))
(* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))))
(* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))))
(* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))))
(* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))))
(* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))))
(* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))))
(* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))))
(* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))))
(* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))))
(* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))))
(* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))))
(* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))))
(+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))
(+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))
(+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))
(+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))
(+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))
(+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))
(+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))
(+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))
(+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))
(+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))
(+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))
(+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))
(+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))
(+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))
(+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))
(+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))
(+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))
(+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))
(+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))
(+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))
(+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))
(+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))
(+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))
(+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* 1/5 (pow x 2))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))
(* 1/21 (pow x 6))
(* (pow x 6) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/21 (pow x 6))
(* (pow x 6) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/5 (pow x 2))
(* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))
(* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))
(* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))
(* 1/21 (pow x 4))
(* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* 1/21 (pow x 4))
(* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* 2/3 (pow (fabs x) 3))
(* 2/3 (pow (fabs x) 3))
(* 2/3 (pow (fabs x) 3))
(* 2/3 (pow (fabs x) 3))
(* 2/3 (pow (fabs x) 3))
(* 2/3 (pow (fabs x) 3))
(* 2/3 (pow (fabs x) 3))
(* 2/3 (pow (fabs x) 3))
(* 2/3 (pow (fabs x) 3))
(* 2/3 (pow (fabs x) 3))
(* 2/3 (pow (fabs x) 3))
(* 2/3 (pow (fabs x) 3))
(pow (fabs x) 3)
(pow (fabs x) 3)
(pow (fabs x) 3)
(pow (fabs x) 3)
(pow (fabs x) 3)
(pow (fabs x) 3)
(pow (fabs x) 3)
(pow (fabs x) 3)
(pow (fabs x) 3)
(pow (fabs x) 3)
(pow (fabs x) 3)
(pow (fabs x) 3)

Outputs
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64))))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64))))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64))))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64))))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64))))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64))))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64))))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64))))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64))))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64))))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64))))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64))))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))))
(* 2 (* (sqrt (/ 1 (PI))) (fabs x)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (fabs.f64 x) #s(literal 2 binary64)))
(+ (* 2/3 (* (* (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 2 (* (sqrt (/ 1 (PI))) (fabs x))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))))
(+ (* 2 (* (sqrt (/ 1 (PI))) (fabs x))) (* (pow x 2) (+ (* 1/5 (* (* (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 2/3 (* (sqrt (/ 1 (PI))) (fabs x))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64))))))))
(+ (* 2 (* (sqrt (/ 1 (PI))) (fabs x))) (* (pow x 2) (+ (* 2/3 (* (sqrt (/ 1 (PI))) (fabs x))) (* (pow x 2) (+ (* 1/21 (* (* (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 1/5 (* (sqrt (/ 1 (PI))) (fabs x))))))))
(.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64))))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)))
(* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(.f64 x (.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (fabs.f64 x) (.f64 x x))) (.f64 x #s(literal 1/21 binary64))) (.f64 x x)))
(* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (* 1/5 (* (/ (fabs x) (pow x 2)) (sqrt (/ 1 (PI)))))))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 #s(literal 1/5 binary64) (fabs.f64 x)) (.f64 (fabs.f64 x) #s(literal 1/21 binary64))))
(* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (+ (* 1/5 (* (/ (fabs x) (pow x 2)) (sqrt (/ 1 (PI))))) (* 2/3 (* (/ (fabs x) (pow x 4)) (sqrt (/ 1 (PI))))))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (.f64 (fabs.f64 x) (.f64 x x))) (+.f64 (/.f64 #s(literal 1/5 binary64) (fabs.f64 x)) (.f64 (fabs.f64 x) #s(literal 1/21 binary64))))))
(* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (+ (* 1/5 (* (/ (fabs x) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 2/3 (* (/ (fabs x) (pow x 4)) (sqrt (/ 1 (PI))))) (* 2 (* (/ (fabs x) (pow x 6)) (sqrt (/ 1 (PI)))))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (.f64 (fabs.f64 x) (.f64 x x))) (/.f64 #s(literal 1/5 binary64) (fabs.f64 x))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 #s(literal 1/21 binary64) (.f64 x (.f64 x (*.f64 x x))))))))))
(* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(.f64 x (.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (fabs.f64 x) (.f64 x x))) (.f64 x #s(literal 1/21 binary64))) (.f64 x x)))
(* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (* 1/5 (* (/ (fabs x) (pow x 2)) (sqrt (/ 1 (PI)))))))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 #s(literal 1/5 binary64) (fabs.f64 x)) (.f64 (fabs.f64 x) #s(literal 1/21 binary64))))
(* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (+ (* 1/5 (* (/ (fabs x) (pow x 2)) (sqrt (/ 1 (PI))))) (* 2/3 (* (/ (fabs x) (pow x 4)) (sqrt (/ 1 (PI))))))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (.f64 (fabs.f64 x) (.f64 x x))) (+.f64 (/.f64 #s(literal 1/5 binary64) (fabs.f64 x)) (.f64 (fabs.f64 x) #s(literal 1/21 binary64))))))
(* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (+ (* 1/5 (* (/ (fabs x) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 2/3 (* (/ (fabs x) (pow x 4)) (sqrt (/ 1 (PI))))) (* 2 (* (/ (fabs x) (pow x 6)) (sqrt (/ 1 (PI)))))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (.f64 (fabs.f64 x) (.f64 x x))) (/.f64 #s(literal 1/5 binary64) (fabs.f64 x))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 #s(literal 1/21 binary64) (.f64 x (.f64 x (*.f64 x x))))))))))
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(* 2 (sqrt (/ 1 (PI))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 2 binary64))
(+ (* 2/3 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64)))))
(+ (* 2 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 1/5 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 2/3 (sqrt (/ 1 (PI)))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))))))
(+ (* 2 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 2/3 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 1/21 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 1/5 (sqrt (/ 1 (PI)))))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/21 binary64))))))))))
(* 1/21 (* (pow x 6) (sqrt (/ 1 (PI)))))
(.f64 (.f64 x (.f64 x #s(literal 1/21 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 6) (+ (* 1/21 (sqrt (/ 1 (PI)))) (* 1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x)))))
(* (pow x 6) (+ (* 1/21 (sqrt (/ 1 (PI)))) (+ (* 1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* 2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))) (/.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 6) (+ (* 1/21 (sqrt (/ 1 (PI)))) (+ (* 1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* 2 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))))
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(+.f64 (.f64 #s(literal 1/5 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (fabs.f64 x))) (+.f64 (.f64 #s(literal 1/21 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64)))))))
(+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))
(+.f64 (.f64 #s(literal 1/5 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (fabs.f64 x))) (+.f64 (.f64 #s(literal 1/21 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64)))))))
(+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))
(+.f64 (.f64 #s(literal 1/5 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (fabs.f64 x))) (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))))
(+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))
(+.f64 (.f64 #s(literal 1/5 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (fabs.f64 x))) (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))))
(+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))
(+.f64 (.f64 #s(literal 1/5 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (fabs.f64 x))) (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))))
(+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))
(+.f64 (.f64 #s(literal 1/5 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (fabs.f64 x))) (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))))
(+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))
(+.f64 (.f64 #s(literal 1/5 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (fabs.f64 x))) (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))))
(+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))
(+.f64 (.f64 #s(literal 1/5 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (fabs.f64 x))) (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))))
(+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))
(+.f64 (.f64 #s(literal 1/5 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (fabs.f64 x))) (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))))
(+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))
(+.f64 (.f64 #s(literal 1/5 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (fabs.f64 x))) (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))))
(+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))
(+.f64 (.f64 #s(literal 1/5 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (fabs.f64 x))) (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))))
(+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))
(+.f64 (.f64 #s(literal 1/5 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (fabs.f64 x))) (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))))
(+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))
(+.f64 (.f64 #s(literal 1/5 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (fabs.f64 x))) (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))))
(+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))
(+.f64 (.f64 #s(literal 1/5 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (fabs.f64 x))) (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))))
(* 1/21 (pow x 2))
(.f64 x (.f64 x #s(literal 1/21 binary64)))
(* 1/21 (pow x 2))
(.f64 x (.f64 x #s(literal 1/21 binary64)))
(* 1/21 (pow x 2))
(.f64 x (.f64 x #s(literal 1/21 binary64)))
(* 1/21 (pow x 2))
(.f64 x (.f64 x #s(literal 1/21 binary64)))
(* 1/21 (pow x 2))
(.f64 x (.f64 x #s(literal 1/21 binary64)))
(* 1/21 (pow x 2))
(.f64 x (.f64 x #s(literal 1/21 binary64)))
(* 1/21 (pow x 2))
(.f64 x (.f64 x #s(literal 1/21 binary64)))
(* 1/21 (pow x 2))
(.f64 x (.f64 x #s(literal 1/21 binary64)))
(* 1/21 (pow x 2))
(.f64 x (.f64 x #s(literal 1/21 binary64)))
(* 1/21 (pow x 2))
(.f64 x (.f64 x #s(literal 1/21 binary64)))
(* 1/21 (pow x 2))
(.f64 x (.f64 x #s(literal 1/21 binary64)))
(* 1/21 (pow x 2))
(.f64 x (.f64 x #s(literal 1/21 binary64)))
(* 2/3 (pow x 2))
(.f64 x (.f64 x #s(literal 2/3 binary64)))
(* (pow x 2) (+ 2/3 (* 1/5 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))
(.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64))))))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))
(.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64))))))))
(* 1/21 (pow x 6))
(.f64 x (.f64 x (.f64 #s(literal 1/21 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 6) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))))
(* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))) (/.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))) (/.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* 1/21 (pow x 6))
(.f64 x (.f64 x (.f64 #s(literal 1/21 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 6) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))))
(* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))) (/.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))) (/.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* 1/5 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5 binary64))
(* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64)))))
(* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64)))))
(* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64)))))
(* 1/21 (pow x 4))
(.f64 #s(literal 1/21 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64)))))
(* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64)))))
(* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64)))))
(* 1/21 (pow x 4))
(.f64 #s(literal 1/21 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64)))))
(* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64)))))
(* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64)))))
(* 2/3 (pow (fabs x) 3))
(.f64 x (.f64 x (*.f64 (fabs.f64 x) #s(literal 2/3 binary64))))
(* 2/3 (pow (fabs x) 3))
(.f64 x (.f64 x (*.f64 (fabs.f64 x) #s(literal 2/3 binary64))))
(* 2/3 (pow (fabs x) 3))
(.f64 x (.f64 x (*.f64 (fabs.f64 x) #s(literal 2/3 binary64))))
(* 2/3 (pow (fabs x) 3))
(.f64 x (.f64 x (*.f64 (fabs.f64 x) #s(literal 2/3 binary64))))
(* 2/3 (pow (fabs x) 3))
(.f64 x (.f64 x (*.f64 (fabs.f64 x) #s(literal 2/3 binary64))))
(* 2/3 (pow (fabs x) 3))
(.f64 x (.f64 x (*.f64 (fabs.f64 x) #s(literal 2/3 binary64))))
(* 2/3 (pow (fabs x) 3))
(.f64 x (.f64 x (*.f64 (fabs.f64 x) #s(literal 2/3 binary64))))
(* 2/3 (pow (fabs x) 3))
(.f64 x (.f64 x (*.f64 (fabs.f64 x) #s(literal 2/3 binary64))))
(* 2/3 (pow (fabs x) 3))
(.f64 x (.f64 x (*.f64 (fabs.f64 x) #s(literal 2/3 binary64))))
(* 2/3 (pow (fabs x) 3))
(.f64 x (.f64 x (*.f64 (fabs.f64 x) #s(literal 2/3 binary64))))
(* 2/3 (pow (fabs x) 3))
(.f64 x (.f64 x (*.f64 (fabs.f64 x) #s(literal 2/3 binary64))))
(* 2/3 (pow (fabs x) 3))
(.f64 x (.f64 x (*.f64 (fabs.f64 x) #s(literal 2/3 binary64))))
(pow (fabs x) 3)
(.f64 (fabs.f64 x) (.f64 x x))
(pow (fabs x) 3)
(.f64 (fabs.f64 x) (.f64 x x))
(pow (fabs x) 3)
(.f64 (fabs.f64 x) (.f64 x x))
(pow (fabs x) 3)
(.f64 (fabs.f64 x) (.f64 x x))
(pow (fabs x) 3)
(.f64 (fabs.f64 x) (.f64 x x))
(pow (fabs x) 3)
(.f64 (fabs.f64 x) (.f64 x x))
(pow (fabs x) 3)
(.f64 (fabs.f64 x) (.f64 x x))
(pow (fabs x) 3)
(.f64 (fabs.f64 x) (.f64 x x))
(pow (fabs x) 3)
(.f64 (fabs.f64 x) (.f64 x x))
(pow (fabs x) 3)
(.f64 (fabs.f64 x) (.f64 x x))
(pow (fabs x) 3)
(.f64 (fabs.f64 x) (.f64 x x))
(pow (fabs x) 3)
(.f64 (fabs.f64 x) (.f64 x x))

eval251.0ms (1.9%)

Compiler: Compiled 93525 to 4914 computations (94.7% saved)

prune125.0ms (0.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	1286	6	1292
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	1288	6	1294

Accuracy

100.0%

Counts

1294 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(/.f64 (fabs.f64 (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))) (sqrt.f64 (PI.f64)))
	99.8%	(.f64 (fabs.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))))))) (fabs.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)))
▶	99.9%	(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))) (sqrt.f64 (PI.f64))) x))
▶	99.9%	(fabs.f64 (.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x #s(literal 1/21 binary64)) x)))))) (sqrt.f64 (PI.f64)))))
▶	98.0%	(fabs.f64 (.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 #s(literal 1/21 binary64) (.f64 x (.f64 x (*.f64 x x))))))) (sqrt.f64 (PI.f64)))))
▶	33.8%	(fabs.f64 (.f64 (fabs.f64 x) (.f64 (.f64 x (.f64 x #s(literal 1/21 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x (.f64 x (.f64 x x)))))))

Compiler

Compiled 308 to 216 computations (29.9% saved)

simplify223.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fabs.f64 x)
✓	cost-diff	0	(.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))
✓	cost-diff	6400	(fabs.f64 (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))))))
✓	cost-diff	6400	(/.f64 (fabs.f64 (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))) (sqrt.f64 (PI.f64)))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 #s(literal 1/21 binary64) (.f64 x (.f64 x (.f64 x x))))))) (sqrt.f64 (PI.f64)))
✓	cost-diff	0	(fabs.f64 x)
✓	cost-diff	0	(.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 #s(literal 1/21 binary64) (.f64 x (.f64 x (*.f64 x x))))))) (sqrt.f64 (PI.f64))))
✓	cost-diff	0	(fabs.f64 (.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 #s(literal 1/21 binary64) (.f64 x (.f64 x (*.f64 x x))))))) (sqrt.f64 (PI.f64)))))
✓	cost-diff	0	(.f64 (.f64 x (.f64 x #s(literal 1/21 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x (.f64 x (*.f64 x x)))))
✓	cost-diff	0	(fabs.f64 x)
✓	cost-diff	0	(.f64 (fabs.f64 x) (.f64 (.f64 x (.f64 x #s(literal 1/21 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x (.f64 x (.f64 x x))))))
✓	cost-diff	6400	(fabs.f64 (.f64 (fabs.f64 x) (.f64 (.f64 x (.f64 x #s(literal 1/21 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x (.f64 x (.f64 x x)))))))
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))))))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))) (sqrt.f64 (PI.f64)))
✓	cost-diff	0	(.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))) (sqrt.f64 (PI.f64))) x)
✓	cost-diff	0	(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))) (sqrt.f64 (PI.f64))) x))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x #s(literal 1/21 binary64)) x)))))) (sqrt.f64 (PI.f64)))
✓	cost-diff	0	(fabs.f64 x)
✓	cost-diff	0	(.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x #s(literal 1/21 binary64)) x)))))) (sqrt.f64 (PI.f64))))
✓	cost-diff	6400	(fabs.f64 (.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x #s(literal 1/21 binary64)) x)))))) (sqrt.f64 (PI.f64)))))

Rules

5384×	`+-lowering-+.f64`
5384×	`+-lowering-+.f32`
3674×	`-lowering-.f32`
3674×	`-lowering-.f64`
1888×	`distribute-lft-in`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	49	695
1	155	607
2	458	587
3	1384	571
4	2787	570
5	4127	570
6	6846	567
0	8202	567

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(fabs (* (fabs x) (/ (+ 2 (* (* x x) (+ 2/3 (* (* x x) (+ 1/5 (* (* x 1/21) x)))))) (sqrt (PI)))))
(* (fabs x) (/ (+ 2 (* (* x x) (+ 2/3 (* (* x x) (+ 1/5 (* (* x 1/21) x)))))) (sqrt (PI))))
(fabs x)
x
(/ (+ 2 (* (* x x) (+ 2/3 (* (* x x) (+ 1/5 (* (* x 1/21) x)))))) (sqrt (PI)))
(+ 2 (* (* x x) (+ 2/3 (* (* x x) (+ 1/5 (* (* x 1/21) x))))))
2
(* (* x x) (+ 2/3 (* (* x x) (+ 1/5 (* (* x 1/21) x)))))
(* x x)
(+ 2/3 (* (* x x) (+ 1/5 (* (* x 1/21) x))))
2/3
(* (* x x) (+ 1/5 (* (* x 1/21) x)))
(+ 1/5 (* (* x 1/21) x))
1/5
(* (* x 1/21) x)
(* x 1/21)
1/21
(sqrt (PI))
(PI)
(fabs (* (/ (+ 2 (* (* x x) (+ 2/3 (* x (* x (+ 1/5 (* (* x x) 1/21))))))) (sqrt (PI))) x))
(* (/ (+ 2 (* (* x x) (+ 2/3 (* x (* x (+ 1/5 (* (* x x) 1/21))))))) (sqrt (PI))) x)
(/ (+ 2 (* (* x x) (+ 2/3 (* x (* x (+ 1/5 (* (* x x) 1/21))))))) (sqrt (PI)))
(+ 2 (* (* x x) (+ 2/3 (* x (* x (+ 1/5 (* (* x x) 1/21)))))))
2
(* (* x x) (+ 2/3 (* x (* x (+ 1/5 (* (* x x) 1/21))))))
(* x x)
x
(+ 2/3 (* x (* x (+ 1/5 (* (* x x) 1/21)))))
2/3
(* x (* x (+ 1/5 (* (* x x) 1/21))))
(* x (+ 1/5 (* (* x x) 1/21)))
(+ 1/5 (* (* x x) 1/21))
1/5
(* (* x x) 1/21)
1/21
(sqrt (PI))
(PI)
(fabs (* (fabs x) (* (* x (* x 1/21)) (* (sqrt (/ 1 (PI))) (* x (* x (* x x)))))))
(* (fabs x) (* (* x (* x 1/21)) (* (sqrt (/ 1 (PI))) (* x (* x (* x x))))))
(fabs x)
x
(* (* x (* x 1/21)) (* (sqrt (/ 1 (PI))) (* x (* x (* x x)))))
(* x (* x 1/21))
(* x 1/21)
1/21
(* (sqrt (/ 1 (PI))) (* x (* x (* x x))))
(sqrt (/ 1 (PI)))
(/ 1 (PI))
1
(PI)
(* x (* x (* x x)))
(* x (* x x))
(* x x)
(fabs (* (fabs x) (/ (+ 2 (* x (* x (* 1/21 (* x (* x (* x x))))))) (sqrt (PI)))))
(* (fabs x) (/ (+ 2 (* x (* x (* 1/21 (* x (* x (* x x))))))) (sqrt (PI))))
(fabs x)
x
(/ (+ 2 (* x (* x (* 1/21 (* x (* x (* x x))))))) (sqrt (PI)))
(+ 2 (* x (* x (* 1/21 (* x (* x (* x x)))))))
2
(* x (* x (* 1/21 (* x (* x (* x x))))))
(* x (* 1/21 (* x (* x (* x x)))))
(* 1/21 (* x (* x (* x x))))
1/21
(* x (* x (* x x)))
(* x (* x x))
(* x x)
(sqrt (PI))
(PI)
(/ (fabs (* (fabs x) (+ 2 (* (* x x) (+ 2/3 (* x (* x (+ 1/5 (* (* x x) 1/21))))))))) (sqrt (PI)))
(fabs (* (fabs x) (+ 2 (* (* x x) (+ 2/3 (* x (* x (+ 1/5 (* (* x x) 1/21)))))))))
(* (fabs x) (+ 2 (* (* x x) (+ 2/3 (* x (* x (+ 1/5 (* (* x x) 1/21))))))))
(fabs x)
x
(+ 2 (* (* x x) (+ 2/3 (* x (* x (+ 1/5 (* (* x x) 1/21)))))))
2
(* (* x x) (+ 2/3 (* x (* x (+ 1/5 (* (* x x) 1/21))))))
(* x x)
(+ 2/3 (* x (* x (+ 1/5 (* (* x x) 1/21)))))
2/3
(* x (* x (+ 1/5 (* (* x x) 1/21))))
(* x (+ 1/5 (* (* x x) 1/21)))
(+ 1/5 (* (* x x) 1/21))
1/5
(* (* x x) 1/21)
1/21
(sqrt (PI))
(PI)

Outputs
(fabs (* (fabs x) (/ (+ 2 (* (* x x) (+ 2/3 (* (* x x) (+ 1/5 (* (* x 1/21) x)))))) (sqrt (PI)))))
(fabs.f64 (/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/21 binary64)))))))))) (sqrt.f64 (PI.f64))))
(* (fabs x) (/ (+ 2 (* (* x x) (+ 2/3 (* (* x x) (+ 1/5 (* (* x 1/21) x)))))) (sqrt (PI))))
(/.f64 (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/21 binary64)))))))))) (sqrt.f64 (PI.f64)))
(fabs x)
(fabs.f64 x)
x
(/ (+ 2 (* (* x x) (+ 2/3 (* (* x x) (+ 1/5 (* (* x 1/21) x)))))) (sqrt (PI)))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64))))))))) (sqrt.f64 (PI.f64)))
(+ 2 (* (* x x) (+ 2/3 (* (* x x) (+ 1/5 (* (* x 1/21) x))))))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64)))))))))
2
#s(literal 2 binary64)
(* (* x x) (+ 2/3 (* (* x x) (+ 1/5 (* (* x 1/21) x)))))
(.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64))))))))
(* x x)
(*.f64 x x)
(+ 2/3 (* (* x x) (+ 1/5 (* (* x 1/21) x))))
(+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64)))))))
2/3
#s(literal 2/3 binary64)
(* (* x x) (+ 1/5 (* (* x 1/21) x)))
(.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64))))))
(+ 1/5 (* (* x 1/21) x))
(+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64))))
1/5
#s(literal 1/5 binary64)
(* (* x 1/21) x)
(.f64 x (.f64 x #s(literal 1/21 binary64)))
(* x 1/21)
(*.f64 x #s(literal 1/21 binary64))
1/21
#s(literal 1/21 binary64)
(sqrt (PI))
(sqrt.f64 (PI.f64))
(PI)
(PI.f64)
(fabs (* (/ (+ 2 (* (* x x) (+ 2/3 (* x (* x (+ 1/5 (* (* x x) 1/21))))))) (sqrt (PI))) x))
(fabs.f64 (/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/21 binary64)))))))))) (sqrt.f64 (PI.f64))))
(* (/ (+ 2 (* (* x x) (+ 2/3 (* x (* x (+ 1/5 (* (* x x) 1/21))))))) (sqrt (PI))) x)
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/21 binary64)))))))))) (sqrt.f64 (PI.f64)))
(/ (+ 2 (* (* x x) (+ 2/3 (* x (* x (+ 1/5 (* (* x x) 1/21))))))) (sqrt (PI)))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64))))))))) (sqrt.f64 (PI.f64)))
(+ 2 (* (* x x) (+ 2/3 (* x (* x (+ 1/5 (* (* x x) 1/21)))))))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64)))))))))
2
#s(literal 2 binary64)
(* (* x x) (+ 2/3 (* x (* x (+ 1/5 (* (* x x) 1/21))))))
(.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64))))))))
(* x x)
(*.f64 x x)
x
(+ 2/3 (* x (* x (+ 1/5 (* (* x x) 1/21)))))
(+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64)))))))
2/3
#s(literal 2/3 binary64)
(* x (* x (+ 1/5 (* (* x x) 1/21))))
(.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64))))))
(* x (+ 1/5 (* (* x x) 1/21)))
(.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/21 binary64)))))
(+ 1/5 (* (* x x) 1/21))
(+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64))))
1/5
#s(literal 1/5 binary64)
(* (* x x) 1/21)
(.f64 x (.f64 x #s(literal 1/21 binary64)))
1/21
#s(literal 1/21 binary64)
(sqrt (PI))
(sqrt.f64 (PI.f64))
(PI)
(PI.f64)
(fabs (* (fabs x) (* (* x (* x 1/21)) (* (sqrt (/ 1 (PI))) (* x (* x (* x x)))))))
(.f64 (.f64 x x) (fabs.f64 (.f64 (.f64 x x) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 1/21 binary64) (.f64 x (.f64 x x)))))))
(* (fabs x) (* (* x (* x 1/21)) (* (sqrt (/ 1 (PI))) (* x (* x (* x x))))))
(.f64 (fabs.f64 x) (.f64 (.f64 x #s(literal 1/21 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x (.f64 x (.f64 x (.f64 x x)))))))
(fabs x)
(fabs.f64 x)
x
(* (* x (* x 1/21)) (* (sqrt (/ 1 (PI))) (* x (* x (* x x)))))
(.f64 (.f64 x #s(literal 1/21 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x (.f64 x (.f64 x (*.f64 x x))))))
(* x (* x 1/21))
(.f64 x (.f64 x #s(literal 1/21 binary64)))
(* x 1/21)
(*.f64 x #s(literal 1/21 binary64))
1/21
#s(literal 1/21 binary64)
(* (sqrt (/ 1 (PI))) (* x (* x (* x x))))
(.f64 x (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x (.f64 x x))))
(sqrt (/ 1 (PI)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
(/ 1 (PI))
(/.f64 #s(literal 1 binary64) (PI.f64))
1
#s(literal 1 binary64)
(PI)
(PI.f64)
(* x (* x (* x x)))
(.f64 x (.f64 x (*.f64 x x)))
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)
(fabs (* (fabs x) (/ (+ 2 (* x (* x (* 1/21 (* x (* x (* x x))))))) (sqrt (PI)))))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 #s(literal 1/21 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))))
(* (fabs x) (/ (+ 2 (* x (* x (* 1/21 (* x (* x (* x x))))))) (sqrt (PI))))
(.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 #s(literal 1/21 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))))
(fabs x)
(fabs.f64 x)
x
(/ (+ 2 (* x (* x (* 1/21 (* x (* x (* x x))))))) (sqrt (PI)))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 #s(literal 1/21 binary64) (.f64 x (.f64 x (.f64 x x)))))) (sqrt.f64 (PI.f64)))
(+ 2 (* x (* x (* 1/21 (* x (* x (* x x)))))))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 #s(literal 1/21 binary64) (.f64 x (.f64 x (.f64 x x))))))
2
#s(literal 2 binary64)
(* x (* x (* 1/21 (* x (* x (* x x))))))
(.f64 (.f64 x x) (.f64 #s(literal 1/21 binary64) (.f64 x (.f64 x (.f64 x x)))))
(* x (* 1/21 (* x (* x (* x x)))))
(.f64 x (.f64 #s(literal 1/21 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(* 1/21 (* x (* x (* x x))))
(.f64 #s(literal 1/21 binary64) (.f64 x (.f64 x (.f64 x x))))
1/21
#s(literal 1/21 binary64)
(* x (* x (* x x)))
(.f64 x (.f64 x (*.f64 x x)))
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)
(sqrt (PI))
(sqrt.f64 (PI.f64))
(PI)
(PI.f64)
(/ (fabs (* (fabs x) (+ 2 (* (* x x) (+ 2/3 (* x (* x (+ 1/5 (* (* x x) 1/21))))))))) (sqrt (PI)))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/21 binary64))))))))))) (sqrt.f64 (PI.f64)))
(fabs (* (fabs x) (+ 2 (* (* x x) (+ 2/3 (* x (* x (+ 1/5 (* (* x x) 1/21)))))))))
(fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/21 binary64)))))))))))
(* (fabs x) (+ 2 (* (* x x) (+ 2/3 (* x (* x (+ 1/5 (* (* x x) 1/21))))))))
(.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/21 binary64))))))))))
(fabs x)
(fabs.f64 x)
x
(+ 2 (* (* x x) (+ 2/3 (* x (* x (+ 1/5 (* (* x x) 1/21)))))))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64)))))))))
2
#s(literal 2 binary64)
(* (* x x) (+ 2/3 (* x (* x (+ 1/5 (* (* x x) 1/21))))))
(.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64))))))))
(* x x)
(*.f64 x x)
(+ 2/3 (* x (* x (+ 1/5 (* (* x x) 1/21)))))
(+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64)))))))
2/3
#s(literal 2/3 binary64)
(* x (* x (+ 1/5 (* (* x x) 1/21))))
(.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64))))))
(* x (+ 1/5 (* (* x x) 1/21)))
(.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/21 binary64)))))
(+ 1/5 (* (* x x) 1/21))
(+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64))))
1/5
#s(literal 1/5 binary64)
(* (* x x) 1/21)
(.f64 x (.f64 x #s(literal 1/21 binary64)))
1/21
#s(literal 1/21 binary64)
(sqrt (PI))
(sqrt.f64 (PI.f64))
(PI)
(PI.f64)

localize301.0ms (2.3%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/21 binary64))
✓	accuracy	99.7%	(/.f64 (fabs.f64 (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))) (sqrt.f64 (PI.f64)))
✓	accuracy	99.6%	(.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64))))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(.f64 #s(literal 1/21 binary64) (.f64 x (.f64 x (.f64 x x))))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/21 binary64)))
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/21 binary64))
✓	accuracy	99.8%	(.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/21 binary64))
✓	accuracy	99.6%	(.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64))))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	99.8%	(.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x #s(literal 1/21 binary64)) x)))
✓	accuracy	99.8%	(.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x #s(literal 1/21 binary64)) x)))))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/21 binary64))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))

Results

186.0ms

256×

valid

Compiler

Compiled 732 to 50 computations (93.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 118.0ms

ival-mult: 60.0ms (51% of total)

ival-fabs: 26.0ms (22.1% of total)

...c/correct-round.rkt:119:19: 10.0ms (8.5% of total)

ival-div: 9.0ms (7.6% of total)

ival-add: 8.0ms (6.8% of total)

ival-sqrt: 4.0ms (3.4% of total)

ival-pi: 1.0ms (0.8% of total)

const: 1.0ms (0.8% of total)

backward-pass: 0.0ms (0% of total)

series25.0ms (0.2%)

Counts

28 → 324

Calls

Call 1

Inputs
#<alt (fabs (* (fabs x) (/ (+ 2 (* (* x x) (+ 2/3 (* (* x x) (+ 1/5 (* (* x 1/21) x)))))) (sqrt (PI)))))>
#<alt (* (fabs x) (/ (+ 2 (* (* x x) (+ 2/3 (* (* x x) (+ 1/5 (* (* x 1/21) x)))))) (sqrt (PI))))>
#<alt (fabs x)>
#<alt (/ (+ 2 (* (* x x) (+ 2/3 (* (* x x) (+ 1/5 (* (* x 1/21) x)))))) (sqrt (PI)))>
#<alt (fabs (* (/ (+ 2 (* (* x x) (+ 2/3 (* x (* x (+ 1/5 (* (* x x) 1/21))))))) (sqrt (PI))) x))>
#<alt (* (/ (+ 2 (* (* x x) (+ 2/3 (* x (* x (+ 1/5 (* (* x x) 1/21))))))) (sqrt (PI))) x)>
#<alt (/ (+ 2 (* (* x x) (+ 2/3 (* x (* x (+ 1/5 (* (* x x) 1/21))))))) (sqrt (PI)))>
#<alt (+ 2 (* (* x x) (+ 2/3 (* x (* x (+ 1/5 (* (* x x) 1/21)))))))>
#<alt (fabs (* (fabs x) (* (* x (* x 1/21)) (* (sqrt (/ 1 (PI))) (* x (* x (* x x)))))))>
#<alt (* (fabs x) (* (* x (* x 1/21)) (* (sqrt (/ 1 (PI))) (* x (* x (* x x))))))>
#<alt (* (* x (* x 1/21)) (* (sqrt (/ 1 (PI))) (* x (* x (* x x)))))>
#<alt (fabs (* (fabs x) (/ (+ 2 (* x (* x (* 1/21 (* x (* x (* x x))))))) (sqrt (PI)))))>
#<alt (* (fabs x) (/ (+ 2 (* x (* x (* 1/21 (* x (* x (* x x))))))) (sqrt (PI))))>
#<alt (/ (+ 2 (* x (* x (* 1/21 (* x (* x (* x x))))))) (sqrt (PI)))>
#<alt (/ (fabs (* (fabs x) (+ 2 (* (* x x) (+ 2/3 (* x (* x (+ 1/5 (* (* x x) 1/21))))))))) (sqrt (PI)))>
#<alt (fabs (* (fabs x) (+ 2 (* (* x x) (+ 2/3 (* x (* x (+ 1/5 (* (* x x) 1/21)))))))))>
#<alt (* (fabs x) (+ 2 (* (* x x) (+ 2/3 (* x (* x (+ 1/5 (* (* x x) 1/21))))))))>
#<alt (sqrt (PI))>
#<alt (* x 1/21)>
#<alt (* (* x x) (+ 2/3 (* (* x x) (+ 1/5 (* (* x 1/21) x)))))>
#<alt (* (* x x) (+ 1/5 (* (* x 1/21) x)))>
#<alt (* x (+ 1/5 (* (* x x) 1/21)))>
#<alt (* (* x x) 1/21)>
#<alt (* (* x x) (+ 2/3 (* x (* x (+ 1/5 (* (* x x) 1/21))))))>
#<alt (* x (* x x))>
#<alt (* x (* x 1/21))>
#<alt (* x (* x (* x x)))>
#<alt (* 1/21 (* x (* x (* x x))))>

Outputs
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (fabs x)))>
#<alt (+ (* 2/3 (* (* (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 2 (* (sqrt (/ 1 (PI))) (fabs x))))>
#<alt (+ (* 2 (* (sqrt (/ 1 (PI))) (fabs x))) (* (pow x 2) (+ (* 1/5 (* (* (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 2/3 (* (sqrt (/ 1 (PI))) (fabs x))))))>
#<alt (+ (* 2 (* (sqrt (/ 1 (PI))) (fabs x))) (* (pow x 2) (+ (* 2/3 (* (sqrt (/ 1 (PI))) (fabs x))) (* (pow x 2) (+ (* 1/21 (* (* (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 1/5 (* (sqrt (/ 1 (PI))) (fabs x))))))))>
#<alt (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))>
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#<alt (* (pow x 6) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/5 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))>
#<alt (* 1/21 (pow x 4))>
#<alt (* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 1/21 (pow x 4))>
#<alt (* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 1/5 x)>
#<alt (* x (+ 1/5 (* 1/21 (pow x 2))))>
#<alt (* x (+ 1/5 (* 1/21 (pow x 2))))>
#<alt (* x (+ 1/5 (* 1/21 (pow x 2))))>
#<alt (* 1/21 (pow x 3))>
#<alt (* (pow x 3) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 1/21 (pow x 3))>
#<alt (* (pow x 3) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))>
#<alt (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))>
#<alt (* 1/21 (pow x 6))>
#<alt (* (pow x 6) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/21 (pow x 6))>
#<alt (* (pow x 6) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<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 (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (* 1/21 (pow x 4))>
#<alt (* 1/21 (pow x 4))>
#<alt (* 1/21 (pow x 4))>
#<alt (* 1/21 (pow x 4))>
#<alt (* 1/21 (pow x 4))>
#<alt (* 1/21 (pow x 4))>
#<alt (* 1/21 (pow x 4))>
#<alt (* 1/21 (pow x 4))>
#<alt (* 1/21 (pow x 4))>
#<alt (* 1/21 (pow x 4))>
#<alt (* 1/21 (pow x 4))>
#<alt (* 1/21 (pow x 4))>

Calls

81 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(* (/ (+ 2 (* (* x x) (+ 2/3 (* x (* x (+ 1/5 (* (* x x) 1/21))))))) (sqrt (PI))) x)
3.0ms	x	@	-inf	(* x (* x x))
1.0ms	x	@	inf	(* (fabs x) (* (* x (* x 1/21)) (* (sqrt (/ 1 (PI))) (* x (* x (* x x))))))
1.0ms	x	@	0	(* (fabs x) (* (* x (* x 1/21)) (* (sqrt (/ 1 (PI))) (* x (* x (* x x))))))
1.0ms	x	@	-inf	(* (fabs x) (* (* x (* x 1/21)) (* (sqrt (/ 1 (PI))) (* x (* x (* x x))))))

rewrite418.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

4804×	`-lowering-.f32`
4804×	`-lowering-.f64`
3362×	`/-lowering-/.f32`
3362×	`/-lowering-/.f64`
1516×	`frac-times`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	49	428
1	310	367
2	1880	340
0	8204	340

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 1016

Calls

Call 1

Inputs
(fabs (* (fabs x) (/ (+ 2 (* (* x x) (+ 2/3 (* (* x x) (+ 1/5 (* (* x 1/21) x)))))) (sqrt (PI)))))
(* (fabs x) (/ (+ 2 (* (* x x) (+ 2/3 (* (* x x) (+ 1/5 (* (* x 1/21) x)))))) (sqrt (PI))))
(fabs x)
(/ (+ 2 (* (* x x) (+ 2/3 (* (* x x) (+ 1/5 (* (* x 1/21) x)))))) (sqrt (PI)))
(fabs (* (/ (+ 2 (* (* x x) (+ 2/3 (* x (* x (+ 1/5 (* (* x x) 1/21))))))) (sqrt (PI))) x))
(* (/ (+ 2 (* (* x x) (+ 2/3 (* x (* x (+ 1/5 (* (* x x) 1/21))))))) (sqrt (PI))) x)
(/ (+ 2 (* (* x x) (+ 2/3 (* x (* x (+ 1/5 (* (* x x) 1/21))))))) (sqrt (PI)))
(+ 2 (* (* x x) (+ 2/3 (* x (* x (+ 1/5 (* (* x x) 1/21)))))))
(fabs (* (fabs x) (* (* x (* x 1/21)) (* (sqrt (/ 1 (PI))) (* x (* x (* x x)))))))
(* (fabs x) (* (* x (* x 1/21)) (* (sqrt (/ 1 (PI))) (* x (* x (* x x))))))
(* (* x (* x 1/21)) (* (sqrt (/ 1 (PI))) (* x (* x (* x x)))))
(fabs (* (fabs x) (/ (+ 2 (* x (* x (* 1/21 (* x (* x (* x x))))))) (sqrt (PI)))))
(* (fabs x) (/ (+ 2 (* x (* x (* 1/21 (* x (* x (* x x))))))) (sqrt (PI))))
(/ (+ 2 (* x (* x (* 1/21 (* x (* x (* x x))))))) (sqrt (PI)))
(/ (fabs (* (fabs x) (+ 2 (* (* x x) (+ 2/3 (* x (* x (+ 1/5 (* (* x x) 1/21))))))))) (sqrt (PI)))
(fabs (* (fabs x) (+ 2 (* (* x x) (+ 2/3 (* x (* x (+ 1/5 (* (* x x) 1/21)))))))))
(* (fabs x) (+ 2 (* (* x x) (+ 2/3 (* x (* x (+ 1/5 (* (* x x) 1/21))))))))
(sqrt (PI))
(* x 1/21)
(* (* x x) (+ 2/3 (* (* x x) (+ 1/5 (* (* x 1/21) x)))))
(* (* x x) (+ 1/5 (* (* x 1/21) x)))
(* x (+ 1/5 (* (* x x) 1/21)))
(* (* x x) 1/21)
(* (* x x) (+ 2/3 (* x (* x (+ 1/5 (* (* x x) 1/21))))))
(* x (* x x))
(* x (* x 1/21))
(* x (* x (* x x)))
(* 1/21 (* x (* x (* x x))))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (PI.f64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))))))) #s(literal -1 binary64)))
(fabs.f64 (/.f64 (fabs.f64 x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))))))
(fabs.f64 (/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))))))
(fabs.f64 (/.f64 (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))))
(fabs.f64 (/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))))
(fabs.f64 (neg.f64 (/.f64 (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))))))
(fabs.f64 (neg.f64 (/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))))))
(fabs.f64 (neg.f64 (neg.f64 (/.f64 (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))))))
(fabs.f64 (neg.f64 (neg.f64 (/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))))))
(fabs.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))) (sqrt.f64 (PI.f64))))))
(fabs.f64 (.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))) (sqrt.f64 (PI.f64))))))
(fabs.f64 (.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))) (sqrt.f64 (PI.f64)))))
(fabs.f64 (.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))) (sqrt.f64 (PI.f64))))))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))) (sqrt.f64 (PI.f64))) (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(fabs.f64 (.f64 (neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))) (sqrt.f64 (PI.f64)))) (-.f64 #s(literal 0 binary64) x)))
(fabs.f64 (.f64 (neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))) (sqrt.f64 (PI.f64)))) (neg.f64 (fabs.f64 x))))
(fabs.f64 (.f64 (neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))) (sqrt.f64 (PI.f64)))) (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(fabs.f64 (/.f64 (neg.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))) (neg.f64 (fabs.f64 x)))) (sqrt.f64 (PI.f64))))
(fabs.f64 (-.f64 (/.f64 (fabs.f64 x) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))))) #s(literal 0 binary64)))
(fabs.f64 (-.f64 (/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))))) #s(literal 0 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))) (/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))))
(neg.f64 (/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))))
(neg.f64 (.f64 #s(literal -1 binary64) (fabs.f64 (/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))))))
(/.f64 (fabs.f64 x) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (PI.f64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (sqrt.f64 (PI.f64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))))))))))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 (PI.f64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (sqrt.f64 (PI.f64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))))))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))))))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))))
(/.f64 (.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))))) #s(literal 1 binary64)) (sqrt.f64 (PI.f64)))
(/.f64 (fabs.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64))) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))))
(/.f64 (fabs.f64 (.f64 x #s(literal 1 binary64))) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))))
(/.f64 (fabs.f64 (.f64 #s(literal 1 binary64) x)) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))))))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))))))
(/.f64 (neg.f64 (.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))))
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(fma.f64 (.f64 x x) #s(literal 2/3 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))) (.f64 (*.f64 x x) #s(literal 2/3 binary64)))
(fma.f64 #s(literal 2/3 binary64) (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))
(fma.f64 (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))) (.f64 x (.f64 x (.f64 x x))) (.f64 (*.f64 x x) #s(literal 2/3 binary64)))
(fma.f64 (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))) (.f64 x (.f64 x x)) (.f64 (*.f64 x x) #s(literal 2/3 binary64)))
(fma.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))) (.f64 x x) (.f64 (*.f64 x x) #s(literal 2/3 binary64)))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))) (.f64 (*.f64 x x) #s(literal 2/3 binary64)))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))) (.f64 (*.f64 x x) #s(literal 2/3 binary64)))
(fma.f64 (.f64 #s(literal 2/3 binary64) x) x (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))
(fma.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))) x) x (.f64 (*.f64 x x) #s(literal 2/3 binary64)))
(fma.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))) x (.f64 (*.f64 x x) #s(literal 2/3 binary64)))
(/.f64 (+.f64 (.f64 #s(literal 8/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (+.f64 (.f64 (.f64 (.f64 x x) #s(literal 2/3 binary64)) (.f64 (.f64 x x) #s(literal 2/3 binary64))) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))) (.f64 (.f64 (.f64 x x) #s(literal 2/3 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 2/3 binary64)) (.f64 (.f64 x x) #s(literal 2/3 binary64))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))))) (-.f64 (.f64 (.f64 x x) #s(literal 2/3 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 8/27 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))))))) (+.f64 #s(literal 4/9 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))) #s(literal 2/3 binary64)))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 4/9 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))) (-.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal 8/27 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))) (.f64 x x)) (+.f64 #s(literal 4/9 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))) #s(literal 2/3 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 4/9 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))))) (.f64 x x)) (-.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 8/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (neg.f64 (+.f64 (.f64 (.f64 (.f64 x x) #s(literal 2/3 binary64)) (.f64 (.f64 x x) #s(literal 2/3 binary64))) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))) (.f64 (.f64 (.f64 x x) #s(literal 2/3 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 2/3 binary64)) (.f64 (.f64 x x) #s(literal 2/3 binary64))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))) (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/3 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (+.f64 #s(literal 8/27 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))))) (neg.f64 (+.f64 #s(literal 4/9 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))) #s(literal 2/3 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 #s(literal 4/9 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))))))) (neg.f64 (-.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 8/27 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))) (.f64 x x))) (neg.f64 (+.f64 #s(literal 4/9 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))) #s(literal 2/3 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 4/9 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))))) (.f64 x x))) (neg.f64 (-.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))
(.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))
(.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))))
(.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 x (.f64 x #s(literal 1/21 binary64)))
(.f64 (.f64 x x) #s(literal 1/21 binary64))
(.f64 #s(literal 1/21 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/21 binary64)) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 x) #s(literal 2 binary64))))
(fabs.f64 (.f64 x (.f64 x (*.f64 x x))))
(fabs.f64 (neg.f64 (.f64 x (.f64 x (*.f64 x x)))))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(.f64 x (.f64 x (*.f64 x x)))
(.f64 (fabs.f64 x) (fabs.f64 (.f64 x (*.f64 x x))))
(.f64 (.f64 x x) (*.f64 x x))
(.f64 (.f64 x (*.f64 x x)) x)
(.f64 (fabs.f64 (.f64 x (*.f64 x x))) (fabs.f64 x))
(.f64 (fabs.f64 (.f64 x x)) (fabs.f64 (*.f64 x x)))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/21 binary64))))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/21 binary64)))
(.f64 #s(literal 1/21 binary64) (.f64 x (.f64 x (.f64 x x))))
(.f64 (.f64 x #s(literal 1/21 binary64)) (.f64 x (.f64 x x)))
(.f64 (.f64 (.f64 x x) #s(literal 1/21 binary64)) (.f64 x x))
(.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/21 binary64)))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/21 binary64))
(.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/21 binary64))) x)

simplify295.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

4242×	`-lowering-.f32`
4242×	`-lowering-.f64`
3084×	`+-lowering-+.f64`
3084×	`+-lowering-+.f32`
1222×	`sum4-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	216	4527
1	763	4181
2	2690	3991
3	5653	3925
0	8306	3925

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

Calls

Call 1

Inputs
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(* 2 (* (sqrt (/ 1 (PI))) (fabs x)))
(+ (* 2/3 (* (* (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 2 (* (sqrt (/ 1 (PI))) (fabs x))))
(+ (* 2 (* (sqrt (/ 1 (PI))) (fabs x))) (* (pow x 2) (+ (* 1/5 (* (* (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 2/3 (* (sqrt (/ 1 (PI))) (fabs x))))))
(+ (* 2 (* (sqrt (/ 1 (PI))) (fabs x))) (* (pow x 2) (+ (* 2/3 (* (sqrt (/ 1 (PI))) (fabs x))) (* (pow x 2) (+ (* 1/21 (* (* (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 1/5 (* (sqrt (/ 1 (PI))) (fabs x))))))))
(* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (* 1/5 (* (/ (fabs x) (pow x 2)) (sqrt (/ 1 (PI)))))))
(* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (+ (* 1/5 (* (/ (fabs x) (pow x 2)) (sqrt (/ 1 (PI))))) (* 2/3 (* (/ (fabs x) (pow x 4)) (sqrt (/ 1 (PI))))))))
(* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (+ (* 1/5 (* (/ (fabs x) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 2/3 (* (/ (fabs x) (pow x 4)) (sqrt (/ 1 (PI))))) (* 2 (* (/ (fabs x) (pow x 6)) (sqrt (/ 1 (PI)))))))))
(* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (* 1/5 (* (/ (fabs x) (pow x 2)) (sqrt (/ 1 (PI)))))))
(* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (+ (* 1/5 (* (/ (fabs x) (pow x 2)) (sqrt (/ 1 (PI))))) (* 2/3 (* (/ (fabs x) (pow x 4)) (sqrt (/ 1 (PI))))))))
(* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (+ (* 1/5 (* (/ (fabs x) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 2/3 (* (/ (fabs x) (pow x 4)) (sqrt (/ 1 (PI))))) (* 2 (* (/ (fabs x) (pow x 6)) (sqrt (/ 1 (PI)))))))))
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(fabs x)
(* 2 (sqrt (/ 1 (PI))))
(+ (* 2/3 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI)))))
(+ (* 2 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 1/5 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 2/3 (sqrt (/ 1 (PI)))))))
(+ (* 2 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 2/3 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 1/21 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 1/5 (sqrt (/ 1 (PI)))))))))
(* 1/21 (* (pow x 6) (sqrt (/ 1 (PI)))))
(* (pow x 6) (+ (* 1/21 (sqrt (/ 1 (PI)))) (* 1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))
(* (pow x 6) (+ (* 1/21 (sqrt (/ 1 (PI)))) (+ (* 1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* 2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))))))
(* (pow x 6) (+ (* 1/21 (sqrt (/ 1 (PI)))) (+ (* 1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* 2 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))))
(* 1/21 (* (pow x 6) (sqrt (/ 1 (PI)))))
(* (pow x 6) (+ (* 1/21 (sqrt (/ 1 (PI)))) (* 1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))
(* (pow x 6) (+ (* 1/21 (sqrt (/ 1 (PI)))) (+ (* 1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* 2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))))))
(* (pow x 6) (+ (* 1/21 (sqrt (/ 1 (PI)))) (+ (* 1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* 2 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))))
(fabs (* (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))) (sqrt (/ 1 (PI)))))
(* 2 (* x (sqrt (/ 1 (PI)))))
(* x (+ (* 2/3 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI))))))
(* x (+ (* 2 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 1/5 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 2/3 (sqrt (/ 1 (PI))))))))
(* x (+ (* 2 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 2/3 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 1/21 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 1/5 (sqrt (/ 1 (PI))))))))))
(* 1/21 (* (pow x 7) (sqrt (/ 1 (PI)))))
(* (pow x 7) (+ (* 1/21 (sqrt (/ 1 (PI)))) (* 1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))
(* (pow x 7) (+ (* 1/21 (sqrt (/ 1 (PI)))) (+ (* 1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* 2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))))))
(* (pow x 7) (+ (* 1/21 (sqrt (/ 1 (PI)))) (+ (* 1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* 2 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))))
(* 1/21 (* (pow x 7) (sqrt (/ 1 (PI)))))
(* -1 (* (pow x 7) (+ (* -1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/21 (sqrt (/ 1 (PI)))))))
(* -1 (* (pow x 7) (+ (* -2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* -1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/21 (sqrt (/ 1 (PI))))))))
(* -1 (* (pow x 7) (+ (* -2 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* -1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/21 (sqrt (/ 1 (PI)))))))))
(* 2 (sqrt (/ 1 (PI))))
(+ (* 2/3 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI)))))
(+ (* 2 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 1/5 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 2/3 (sqrt (/ 1 (PI)))))))
(+ (* 2 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 2/3 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 1/21 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 1/5 (sqrt (/ 1 (PI)))))))))
(* 1/21 (* (pow x 6) (sqrt (/ 1 (PI)))))
(* (pow x 6) (+ (* 1/21 (sqrt (/ 1 (PI)))) (* 1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))
(* (pow x 6) (+ (* 1/21 (sqrt (/ 1 (PI)))) (+ (* 1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* 2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))))))
(* (pow x 6) (+ (* 1/21 (sqrt (/ 1 (PI)))) (+ (* 1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* 2 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))))
(* 1/21 (* (pow x 6) (sqrt (/ 1 (PI)))))
(* (pow x 6) (+ (* 1/21 (sqrt (/ 1 (PI)))) (* 1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))
(* (pow x 6) (+ (* 1/21 (sqrt (/ 1 (PI)))) (+ (* 1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* 2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))))))
(* (pow x 6) (+ (* 1/21 (sqrt (/ 1 (PI)))) (+ (* 1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* 2 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))))
2
(+ 2 (* 2/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))
(* 1/21 (pow x 6))
(* (pow x 6) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/21 (pow x 6))
(* (pow x 6) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(fabs (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI))))))
(fabs (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI))))))
(fabs (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI))))))
(fabs (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI))))))
(fabs (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI))))))
(fabs (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI))))))
(fabs (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI))))))
(fabs (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI))))))
(fabs (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI))))))
(fabs (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI))))))
(fabs (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI))))))
(fabs (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI))))))
(* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(* 1/21 (* (pow x 6) (sqrt (/ 1 (PI)))))
(* 1/21 (* (pow x 6) (sqrt (/ 1 (PI)))))
(* 1/21 (* (pow x 6) (sqrt (/ 1 (PI)))))
(* 1/21 (* (pow x 6) (sqrt (/ 1 (PI)))))
(* 1/21 (* (pow x 6) (sqrt (/ 1 (PI)))))
(* 1/21 (* (pow x 6) (sqrt (/ 1 (PI)))))
(* 1/21 (* (pow x 6) (sqrt (/ 1 (PI)))))
(* 1/21 (* (pow x 6) (sqrt (/ 1 (PI)))))
(* 1/21 (* (pow x 6) (sqrt (/ 1 (PI)))))
(* 1/21 (* (pow x 6) (sqrt (/ 1 (PI)))))
(* 1/21 (* (pow x 6) (sqrt (/ 1 (PI)))))
(* 1/21 (* (pow x 6) (sqrt (/ 1 (PI)))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* 1/21 (pow x 6))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* 1/21 (pow x 6))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* 1/21 (pow x 6))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* 1/21 (pow x 6))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* 1/21 (pow x 6))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* 1/21 (pow x 6))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* 1/21 (pow x 6))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* 1/21 (pow x 6))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* 1/21 (pow x 6))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* 1/21 (pow x 6))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* 1/21 (pow x 6))))))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* 1/21 (pow x 6))))))
(* 2 (* (sqrt (/ 1 (PI))) (fabs x)))
(+ (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI))))) (* 2 (* (sqrt (/ 1 (PI))) (fabs x))))
(+ (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI))))) (* 2 (* (sqrt (/ 1 (PI))) (fabs x))))
(+ (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI))))) (* 2 (* (sqrt (/ 1 (PI))) (fabs x))))
(* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (* 2 (* (/ (fabs x) (pow x 6)) (sqrt (/ 1 (PI)))))))
(* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (* 2 (* (/ (fabs x) (pow x 6)) (sqrt (/ 1 (PI)))))))
(* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (* 2 (* (/ (fabs x) (pow x 6)) (sqrt (/ 1 (PI)))))))
(* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (* 2 (* (/ (fabs x) (pow x 6)) (sqrt (/ 1 (PI)))))))
(* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (* 2 (* (/ (fabs x) (pow x 6)) (sqrt (/ 1 (PI)))))))
(* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (* 2 (* (/ (fabs x) (pow x 6)) (sqrt (/ 1 (PI)))))))
(* 2 (sqrt (/ 1 (PI))))
(+ (* 1/21 (* (pow x 6) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI)))))
(+ (* 1/21 (* (pow x 6) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI)))))
(+ (* 1/21 (* (pow x 6) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI)))))
(* 1/21 (* (pow x 6) (sqrt (/ 1 (PI)))))
(* (pow x 6) (+ (* 1/21 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))
(* (pow x 6) (+ (* 1/21 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))
(* (pow x 6) (+ (* 1/21 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))
(* 1/21 (* (pow x 6) (sqrt (/ 1 (PI)))))
(* (pow x 6) (+ (* 1/21 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))
(* (pow x 6) (+ (* 1/21 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))
(* (pow x 6) (+ (* 1/21 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))
(* (sqrt (/ 1 (PI))) (fabs (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))
(* (sqrt (/ 1 (PI))) (fabs (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))
(* (sqrt (/ 1 (PI))) (fabs (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))
(* (sqrt (/ 1 (PI))) (fabs (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))
(* (sqrt (/ 1 (PI))) (fabs (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(* (sqrt (/ 1 (PI))) (fabs (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(* (sqrt (/ 1 (PI))) (fabs (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(* (sqrt (/ 1 (PI))) (fabs (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(* (sqrt (/ 1 (PI))) (fabs (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(* (sqrt (/ 1 (PI))) (fabs (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(* (sqrt (/ 1 (PI))) (fabs (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(* (sqrt (/ 1 (PI))) (fabs (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(fabs (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))))
(fabs (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))))
(fabs (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))))
(fabs (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))))
(fabs (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))
(fabs (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))
(fabs (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))
(fabs (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))
(fabs (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))
(fabs (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))
(fabs (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))
(fabs (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))
(* 2 (fabs x))
(+ (* 2/3 (* (pow x 2) (fabs x))) (* 2 (fabs x)))
(+ (* 2 (fabs x)) (* (pow x 2) (+ (* 1/5 (* (pow x 2) (fabs x))) (* 2/3 (fabs x)))))
(+ (* 2 (fabs x)) (* (pow x 2) (+ (* 2/3 (fabs x)) (* (pow x 2) (+ (* 1/21 (* (pow x 2) (fabs x))) (* 1/5 (fabs x)))))))
(* 1/21 (* (pow x 6) (fabs x)))
(* (pow x 6) (+ (* 1/21 (fabs x)) (* 1/5 (/ (fabs x) (pow x 2)))))
(* (pow x 6) (+ (* 1/21 (fabs x)) (+ (* 1/5 (/ (fabs x) (pow x 2))) (* 2/3 (/ (fabs x) (pow x 4))))))
(* (pow x 6) (+ (* 1/21 (fabs x)) (+ (* 1/5 (/ (fabs x) (pow x 2))) (+ (* 2/3 (/ (fabs x) (pow x 4))) (* 2 (/ (fabs x) (pow x 6)))))))
(* 1/21 (* (pow x 6) (fabs x)))
(* (pow x 6) (+ (* 1/21 (fabs x)) (* 1/5 (/ (fabs x) (pow x 2)))))
(* (pow x 6) (+ (* 1/21 (fabs x)) (+ (* 1/5 (/ (fabs x) (pow x 2))) (* 2/3 (/ (fabs x) (pow x 4))))))
(* (pow x 6) (+ (* 1/21 (fabs x)) (+ (* 1/5 (/ (fabs x) (pow x 2))) (+ (* 2/3 (/ (fabs x) (pow x 4))) (* 2 (/ (fabs x) (pow x 6)))))))
(* 1/21 x)
(* 1/21 x)
(* 1/21 x)
(* 1/21 x)
(* 1/21 x)
(* 1/21 x)
(* 1/21 x)
(* 1/21 x)
(* 1/21 x)
(* 1/21 x)
(* 1/21 x)
(* 1/21 x)
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* 1/5 (pow x 2))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))
(* 1/21 (pow x 6))
(* (pow x 6) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/21 (pow x 6))
(* (pow x 6) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/5 (pow x 2))
(* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))
(* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))
(* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))
(* 1/21 (pow x 4))
(* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* 1/21 (pow x 4))
(* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* 1/5 x)
(* x (+ 1/5 (* 1/21 (pow x 2))))
(* x (+ 1/5 (* 1/21 (pow x 2))))
(* x (+ 1/5 (* 1/21 (pow x 2))))
(* 1/21 (pow x 3))
(* (pow x 3) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* 1/21 (pow x 3))
(* (pow x 3) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* 1/5 (pow x 2))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))
(* 1/21 (pow x 6))
(* (pow x 6) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/21 (pow x 6))
(* (pow x 6) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(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)
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* 1/21 (pow x 4))
(* 1/21 (pow x 4))
(* 1/21 (pow x 4))
(* 1/21 (pow x 4))
(* 1/21 (pow x 4))
(* 1/21 (pow x 4))
(* 1/21 (pow x 4))
(* 1/21 (pow x 4))
(* 1/21 (pow x 4))
(* 1/21 (pow x 4))
(* 1/21 (pow x 4))
(* 1/21 (pow x 4))

Outputs
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x)))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x)))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x)))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x)))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x)))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x)))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x)))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
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(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
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(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
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(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x)))
(fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
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(* 2 (* (sqrt (/ 1 (PI))) (fabs x)))
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(+ (* 2/3 (* (* (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 2 (* (sqrt (/ 1 (PI))) (fabs x))))
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(+ (* 2 (* (sqrt (/ 1 (PI))) (fabs x))) (* (pow x 2) (+ (* 2/3 (* (sqrt (/ 1 (PI))) (fabs x))) (* (pow x 2) (+ (* 1/21 (* (* (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 1/5 (* (sqrt (/ 1 (PI))) (fabs x))))))))
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(* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
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(* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (* 1/5 (* (/ (fabs x) (pow x 2)) (sqrt (/ 1 (PI)))))))
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(* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (* 1/5 (* (/ (fabs x) (pow x 2)) (sqrt (/ 1 (PI)))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x)))))
(* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (+ (* 1/5 (* (/ (fabs x) (pow x 2)) (sqrt (/ 1 (PI))))) (* 2/3 (* (/ (fabs x) (pow x 4)) (sqrt (/ 1 (PI))))))))
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(* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (+ (* 1/5 (* (/ (fabs x) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 2/3 (* (/ (fabs x) (pow x 4)) (sqrt (/ 1 (PI))))) (* 2 (* (/ (fabs x) (pow x 6)) (sqrt (/ 1 (PI)))))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (fabs.f64 x) (+.f64 (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (*.f64 x x))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))))))))
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
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(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(fabs x)
(fabs.f64 x)
(* 2 (sqrt (/ 1 (PI))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 2 binary64))
(+ (* 2/3 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 2/3 binary64))))
(+ (* 2 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 1/5 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 2/3 (sqrt (/ 1 (PI)))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))))
(+ (* 2 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 2/3 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 1/21 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 1/5 (sqrt (/ 1 (PI)))))))))
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(* 1/21 (* (pow x 6) (sqrt (/ 1 (PI)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64))))
(* (pow x 6) (+ (* 1/21 (sqrt (/ 1 (PI)))) (* 1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))
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(* (pow x 6) (+ (* 1/21 (sqrt (/ 1 (PI)))) (+ (* 1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* 2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))))))
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(* 1/21 (* (pow x 6) (sqrt (/ 1 (PI)))))
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(* (pow x 6) (+ (* 1/21 (sqrt (/ 1 (PI)))) (+ (* 1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* 2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))))))
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(fabs (* (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))) (sqrt (/ 1 (PI)))))
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(fabs (* (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))) (sqrt (/ 1 (PI)))))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x)))
(fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))) (sqrt (/ 1 (PI)))))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x)))
(fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))) (sqrt (/ 1 (PI)))))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x)))
(fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))) (sqrt (/ 1 (PI)))))
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(fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))) (sqrt (/ 1 (PI)))))
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(fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))) (sqrt (/ 1 (PI)))))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x)))
(fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))) (sqrt (/ 1 (PI)))))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x)))
(fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))) (sqrt (/ 1 (PI)))))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x)))
(fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))) (sqrt (/ 1 (PI)))))
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(* 2 (* x (sqrt (/ 1 (PI)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x #s(literal 2 binary64)))
(* x (+ (* 2/3 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 2/3 binary64)))))
(* x (+ (* 2 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 1/5 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 2/3 (sqrt (/ 1 (PI))))))))
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(* x (+ (* 2 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 2/3 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 1/21 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 1/5 (sqrt (/ 1 (PI))))))))))
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(* 1/21 (* (pow x 7) (sqrt (/ 1 (PI)))))
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(* (pow x 7) (+ (* 1/21 (sqrt (/ 1 (PI)))) (+ (* 1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* 2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))))))
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(* (pow x 7) (+ (* 1/21 (sqrt (/ 1 (PI)))) (+ (* 1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* 2 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))))
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(* 1/21 (* (pow x 7) (sqrt (/ 1 (PI)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))))
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(.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))
(.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))
(.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))))))
(* 1/21 (pow x 6))
(*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))))
(* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))) (/.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (*.f64 x x)))))
(* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))) (/.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (*.f64 x x)))))
(* 1/21 (pow x 6))
(*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))))
(* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))) (/.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (*.f64 x x)))))
(* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))) (/.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (*.f64 x x)))))
(* 1/5 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5 binary64))
(* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))
(* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))
(* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))
(* 1/21 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/21 binary64))))
(* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))))
(* 1/21 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/21 binary64))))
(* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))))
(* 1/5 x)
(*.f64 x #s(literal 1/5 binary64))
(* x (+ 1/5 (* 1/21 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64))))
(* x (+ 1/5 (* 1/21 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64))))
(* x (+ 1/5 (* 1/21 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64))))
(* 1/21 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/21 binary64)))
(* (pow x 3) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x)))))
(* (pow x 3) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x)))))
(* (pow x 3) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x)))))
(* 1/21 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/21 binary64)))
(* (pow x 3) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x)))))
(* (pow x 3) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x)))))
(* (pow x 3) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x)))))
(* 1/21 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/21 binary64))
(* 1/21 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/21 binary64))
(* 1/21 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/21 binary64))
(* 1/21 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/21 binary64))
(* 1/21 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/21 binary64))
(* 1/21 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/21 binary64))
(* 1/21 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/21 binary64))
(* 1/21 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/21 binary64))
(* 1/21 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/21 binary64))
(* 1/21 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/21 binary64))
(* 1/21 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/21 binary64))
(* 1/21 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/21 binary64))
(* 2/3 (pow x 2))
(.f64 (.f64 x x) #s(literal 2/3 binary64))
(* (pow x 2) (+ 2/3 (* 1/5 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))
(.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))
(.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))))))
(* 1/21 (pow x 6))
(*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))))
(* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))) (/.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (*.f64 x x)))))
(* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))) (/.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (*.f64 x x)))))
(* 1/21 (pow x 6))
(*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))))
(* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))) (/.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (*.f64 x x)))))
(* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))) (/.f64 #s(literal 2/3 binary64) (.f64 (.f64 x 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 3)
(.f64 x (.f64 x x))
(* 1/21 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/21 binary64))
(* 1/21 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/21 binary64))
(* 1/21 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/21 binary64))
(* 1/21 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/21 binary64))
(* 1/21 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/21 binary64))
(* 1/21 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/21 binary64))
(* 1/21 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/21 binary64))
(* 1/21 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/21 binary64))
(* 1/21 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/21 binary64))
(* 1/21 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/21 binary64))
(* 1/21 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/21 binary64))
(* 1/21 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/21 binary64))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(* 1/21 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/21 binary64))))
(* 1/21 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/21 binary64))))
(* 1/21 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/21 binary64))))
(* 1/21 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/21 binary64))))
(* 1/21 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/21 binary64))))
(* 1/21 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/21 binary64))))
(* 1/21 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/21 binary64))))
(* 1/21 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/21 binary64))))
(* 1/21 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/21 binary64))))
(* 1/21 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/21 binary64))))
(* 1/21 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/21 binary64))))
(* 1/21 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/21 binary64))))

eval232.0ms (1.7%)

Compiler: Compiled 67088 to 4305 computations (93.6% saved)

prune198.0ms (1.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	1675	10	1685
Fresh	1	0	1
Picked	5	0	5
Done	0	0	0
Total	1681	10	1691

Accuracy

100.0%

Counts

1691 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))))))
▶	98.0%	(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/21 binary64))) (.f64 x (*.f64 x x)))) (sqrt.f64 (PI.f64))) x))
▶	94.4%	(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))) (sqrt.f64 (PI.f64))) x))
	98.5%	(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))) (sqrt.f64 (PI.f64))) x))
	94.4%	(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64)))))) (sqrt.f64 (PI.f64))) x))
	89.6%	(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sqrt.f64 (PI.f64))) x))
▶	70.4%	(fabs.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x))
	99.4%	(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))) (/.f64 x (sqrt.f64 (PI.f64)))))
	33.8%	(fabs.f64 (.f64 (.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/21 binary64))) (.f64 x (.f64 x x))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x))
▶	89.6%	(fabs.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 2/3 binary64))))))

Compiler

Compiled 396 to 280 computations (29.3% saved)

simplify122.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/21 binary64))) (.f64 x (.f64 x x))))
✓	cost-diff	(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/21 binary64))) (.f64 x (.f64 x x)))) (sqrt.f64 (PI.f64)))
✓	cost-diff	(.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/21 binary64))) (.f64 x (*.f64 x x)))) (sqrt.f64 (PI.f64))) x)
✓	cost-diff	(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/21 binary64))) (.f64 x (*.f64 x x)))) (sqrt.f64 (PI.f64))) x))
✓	cost-diff	(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))))
✓	cost-diff	(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64))))) (sqrt.f64 (PI.f64)))
✓	cost-diff	(.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))) (sqrt.f64 (PI.f64))) x)
✓	cost-diff	(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))) (sqrt.f64 (PI.f64))) x))
✓	cost-diff	(/.f64 #s(literal 1 binary64) (PI.f64))
✓	cost-diff	(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
✓	cost-diff	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 2/3 binary64)))))
✓	cost-diff	(fabs.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 2/3 binary64))))))
✓	cost-diff	(sqrt.f64 (PI.f64))
✓	cost-diff	(/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))
✓	cost-diff	(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x)
✓	cost-diff	(fabs.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x))
✓	cost-diff	(fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))))))
✓	cost-diff	(PI.f64)
✓	cost-diff	(pow.f64 (PI.f64) #s(literal -1/2 binary64))
✓	cost-diff	(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))))))

Rules

2326×	`fma-define`
2016×	`fma-lowering-fma.f32`
2016×	`fma-lowering-fma.f64`
1222×	`-lowering-.f32`
1222×	`-lowering-.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	440
1	134	402
2	386	382
3	774	382
4	1376	382
5	1996	382
6	2723	382
7	2884	382
8	2992	382
9	2996	382
10	2996	382
11	2996	382
12	3012	382
13	3012	382
0	3012	382

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (pow (PI) -1/2) (fabs (* x (+ 2 (* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21))))))))))
(pow (PI) -1/2)
(PI)
-1/2
(fabs (* x (+ 2 (* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21)))))))))
(* x (+ 2 (* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21))))))))
x
(+ 2 (* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21)))))))
2
(* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21))))))
(* x (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21)))))
(+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21))))
2/3
(* (* x x) (+ 1/5 (* (* x x) 1/21)))
(* x x)
(+ 1/5 (* (* x x) 1/21))
1/5
(* (* x x) 1/21)
1/21
(fabs (* (/ 2 (sqrt (PI))) x))
(* (/ 2 (sqrt (PI))) x)
(/ 2 (sqrt (PI)))
2
(sqrt (PI))
(PI)
x
(fabs (* (sqrt (/ 1 (PI))) (* x (+ 2 (* (* x x) 2/3)))))
(* (sqrt (/ 1 (PI))) (* x (+ 2 (* (* x x) 2/3))))
(sqrt (/ 1 (PI)))
(/ 1 (PI))
1
(PI)
(* x (+ 2 (* (* x x) 2/3)))
x
(+ 2 (* (* x x) 2/3))
2
(* (* x x) 2/3)
(* x x)
2/3
(fabs (* (/ (+ 2 (* (* x x) (+ 2/3 (* (* x x) 1/5)))) (sqrt (PI))) x))
(* (/ (+ 2 (* (* x x) (+ 2/3 (* (* x x) 1/5)))) (sqrt (PI))) x)
(/ (+ 2 (* (* x x) (+ 2/3 (* (* x x) 1/5)))) (sqrt (PI)))
(+ 2 (* (* x x) (+ 2/3 (* (* x x) 1/5))))
2
(* (* x x) (+ 2/3 (* (* x x) 1/5)))
(* x x)
x
(+ 2/3 (* (* x x) 1/5))
2/3
(* (* x x) 1/5)
1/5
(sqrt (PI))
(PI)
(fabs (* (/ (+ 2 (* (* x (* (* x x) 1/21)) (* x (* x x)))) (sqrt (PI))) x))
(* (/ (+ 2 (* (* x (* (* x x) 1/21)) (* x (* x x)))) (sqrt (PI))) x)
(/ (+ 2 (* (* x (* (* x x) 1/21)) (* x (* x x)))) (sqrt (PI)))
(+ 2 (* (* x (* (* x x) 1/21)) (* x (* x x))))
2
(* (* x (* (* x x) 1/21)) (* x (* x x)))
(* x (* (* x x) 1/21))
x
(* (* x x) 1/21)
(* x x)
1/21
(* x (* x x))
(sqrt (PI))
(PI)

Outputs
(* (pow (PI) -1/2) (fabs (* x (+ 2 (* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21))))))))))
(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))))))
(pow (PI) -1/2)
(pow.f64 (PI.f64) #s(literal -1/2 binary64))
(PI)
(PI.f64)
-1/2
#s(literal -1/2 binary64)
(fabs (* x (+ 2 (* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21)))))))))
(fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))))))
(* x (+ 2 (* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21))))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))
x
(+ 2 (* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21)))))))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))))))
2
#s(literal 2 binary64)
(* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21))))))
(.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))
(* x (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21)))))
(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))
(+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21))))
(+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))))
2/3
#s(literal 2/3 binary64)
(* (* x x) (+ 1/5 (* (* x x) 1/21)))
(.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))
(* x x)
(*.f64 x x)
(+ 1/5 (* (* x x) 1/21))
(+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))
1/5
#s(literal 1/5 binary64)
(* (* x x) 1/21)
(.f64 (.f64 x x) #s(literal 1/21 binary64))
1/21
#s(literal 1/21 binary64)
(fabs (* (/ 2 (sqrt (PI))) x))
(fabs.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 (PI.f64))))
(* (/ 2 (sqrt (PI))) x)
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))
(/ 2 (sqrt (PI)))
(/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))
2
#s(literal 2 binary64)
(sqrt (PI))
(sqrt.f64 (PI.f64))
(PI)
(PI.f64)
x
(fabs (* (sqrt (/ 1 (PI))) (* x (+ 2 (* (* x x) 2/3)))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (.f64 x x))))))
(* (sqrt (/ 1 (PI))) (* x (+ 2 (* (* x x) 2/3))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (.f64 x x)))))
(sqrt (/ 1 (PI)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
(/ 1 (PI))
(/.f64 #s(literal 1 binary64) (PI.f64))
1
#s(literal 1 binary64)
(PI)
(PI.f64)
(* x (+ 2 (* (* x x) 2/3)))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (*.f64 x x))))
x
(+ 2 (* (* x x) 2/3))
(+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (.f64 x x)))
2
#s(literal 2 binary64)
(* (* x x) 2/3)
(.f64 #s(literal 2/3 binary64) (.f64 x x))
(* x x)
(*.f64 x x)
2/3
#s(literal 2/3 binary64)
(fabs (* (/ (+ 2 (* (* x x) (+ 2/3 (* (* x x) 1/5)))) (sqrt (PI))) x))
(fabs.f64 (/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64)))))))) (sqrt.f64 (PI.f64))))
(* (/ (+ 2 (* (* x x) (+ 2/3 (* (* x x) 1/5)))) (sqrt (PI))) x)
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64)))))))) (sqrt.f64 (PI.f64)))
(/ (+ 2 (* (* x x) (+ 2/3 (* (* x x) 1/5)))) (sqrt (PI)))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64))))))) (sqrt.f64 (PI.f64)))
(+ 2 (* (* x x) (+ 2/3 (* (* x x) 1/5))))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64)))))))
2
#s(literal 2 binary64)
(* (* x x) (+ 2/3 (* (* x x) 1/5)))
(.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64))))))
(* x x)
(*.f64 x x)
x
(+ 2/3 (* (* x x) 1/5))
(+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64))))
2/3
#s(literal 2/3 binary64)
(* (* x x) 1/5)
(.f64 x (.f64 x #s(literal 1/5 binary64)))
1/5
#s(literal 1/5 binary64)
(sqrt (PI))
(sqrt.f64 (PI.f64))
(PI)
(PI.f64)
(fabs (* (/ (+ 2 (* (* x (* (* x x) 1/21)) (* x (* x x)))) (sqrt (PI))) x))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))) (/.f64 x (sqrt.f64 (PI.f64)))))
(* (/ (+ 2 (* (* x (* (* x x) 1/21)) (* x (* x x)))) (sqrt (PI))) x)
(.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))) (/.f64 x (sqrt.f64 (PI.f64))))
(/ (+ 2 (* (* x (* (* x x) 1/21)) (* x (* x x)))) (sqrt (PI)))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/21 binary64))))))) (sqrt.f64 (PI.f64)))
(+ 2 (* (* x (* (* x x) 1/21)) (* x (* x x))))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))
2
#s(literal 2 binary64)
(* (* x (* (* x x) 1/21)) (* x (* x x)))
(.f64 x (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/21 binary64))))))
(* x (* (* x x) 1/21))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/21 binary64)))
x
(* (* x x) 1/21)
(.f64 (.f64 x x) #s(literal 1/21 binary64))
(* x x)
(*.f64 x x)
1/21
#s(literal 1/21 binary64)
(* x (* x x))
(.f64 x (.f64 x x))
(sqrt (PI))
(sqrt.f64 (PI.f64))
(PI)
(PI.f64)

localize269.0ms (2%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 x (.f64 (*.f64 x x) #s(literal 1/21 binary64)))
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/21 binary64))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	99.9%	(.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))) (sqrt.f64 (PI.f64))) x)
✓	accuracy	99.8%	(.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64))))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/5 binary64))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 2/3 binary64))))
✓	accuracy	99.9%	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 2/3 binary64)))))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 2/3 binary64))
✓	accuracy	100.0%	(fabs.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.8%	(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x)
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	99.9%	(.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))
✓	accuracy	99.8%	(.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/21 binary64))
✓	accuracy	99.7%	(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))

Results

192.0ms

256×

valid

Compiler

Compiled 470 to 46 computations (90.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 112.0ms

ival-mult: 40.0ms (35.7% of total)

...c/correct-round.rkt:119:19: 35.0ms (31.2% of total)

ival-add: 8.0ms (7.1% of total)

ival-fabs: 8.0ms (7.1% of total)

ival-pow: 7.0ms (6.2% of total)

ival-div: 6.0ms (5.4% of total)

ival-sqrt: 4.0ms (3.6% of total)

ival-pi: 3.0ms (2.7% of total)

const: 1.0ms (0.9% of total)

backward-pass: 0.0ms (0% of total)

series24.0ms (0.2%)

Counts

30 → 288

Calls

Call 1

Inputs
#<alt (* (pow (PI) -1/2) (fabs (* x (+ 2 (* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21))))))))))>
#<alt (pow (PI) -1/2)>
#<alt (PI)>
#<alt (fabs (* x (+ 2 (* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21)))))))))>
#<alt (fabs (* (/ 2 (sqrt (PI))) x))>
#<alt (* (/ 2 (sqrt (PI))) x)>
#<alt (/ 2 (sqrt (PI)))>
#<alt (sqrt (PI))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* x (+ 2 (* (* x x) 2/3)))))>
#<alt (* (sqrt (/ 1 (PI))) (* x (+ 2 (* (* x x) 2/3))))>
#<alt (sqrt (/ 1 (PI)))>
#<alt (/ 1 (PI))>
#<alt (fabs (* (/ (+ 2 (* (* x x) (+ 2/3 (* (* x x) 1/5)))) (sqrt (PI))) x))>
#<alt (* (/ (+ 2 (* (* x x) (+ 2/3 (* (* x x) 1/5)))) (sqrt (PI))) x)>
#<alt (/ (+ 2 (* (* x x) (+ 2/3 (* (* x x) 1/5)))) (sqrt (PI)))>
#<alt (+ 2 (* (* x x) (+ 2/3 (* (* x x) 1/5))))>
#<alt (fabs (* (/ (+ 2 (* (* x (* (* x x) 1/21)) (* x (* x x)))) (sqrt (PI))) x))>
#<alt (* (/ (+ 2 (* (* x (* (* x x) 1/21)) (* x (* x x)))) (sqrt (PI))) x)>
#<alt (/ (+ 2 (* (* x (* (* x x) 1/21)) (* x (* x x)))) (sqrt (PI)))>
#<alt (+ 2 (* (* x (* (* x x) 1/21)) (* x (* x x))))>
#<alt (* x (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21)))))>
#<alt (* (* x x) 1/21)>
#<alt (* (* x x) (+ 1/5 (* (* x x) 1/21)))>
#<alt (* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21))))))>
#<alt (* (* x x) 2/3)>
#<alt (* x (+ 2 (* (* x x) 2/3)))>
#<alt (* (* x x) 1/5)>
#<alt (* (* x x) (+ 2/3 (* (* x x) 1/5)))>
#<alt (* x (* x x))>
#<alt (* x (* (* x x) 1/21))>

Outputs
#<alt (* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))>
#<alt (fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))))>
#<alt (fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))))>
#<alt (fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))))>
#<alt (fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))))>
#<alt (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))>
#<alt (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))>
#<alt (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))>
#<alt (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))>
#<alt (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))>
#<alt (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))>
#<alt (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))>
#<alt (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))>
#<alt (fabs (* 2 (* x (sqrt (/ 1 (PI))))))>
#<alt (fabs (* 2 (* x (sqrt (/ 1 (PI))))))>
#<alt (fabs (* 2 (* x (sqrt (/ 1 (PI))))))>
#<alt (fabs (* 2 (* x (sqrt (/ 1 (PI))))))>
#<alt (fabs (* 2 (* x (sqrt (/ 1 (PI))))))>
#<alt (fabs (* 2 (* x (sqrt (/ 1 (PI))))))>
#<alt (fabs (* 2 (* x (sqrt (/ 1 (PI))))))>
#<alt (fabs (* 2 (* x (sqrt (/ 1 (PI))))))>
#<alt (fabs (* 2 (* x (sqrt (/ 1 (PI))))))>
#<alt (fabs (* 2 (* x (sqrt (/ 1 (PI))))))>
#<alt (fabs (* 2 (* x (sqrt (/ 1 (PI))))))>
#<alt (fabs (* 2 (* x (sqrt (/ 1 (PI))))))>
#<alt (* 2 (* x (sqrt (/ 1 (PI)))))>
#<alt (* 2 (* x (sqrt (/ 1 (PI)))))>
#<alt (* 2 (* x (sqrt (/ 1 (PI)))))>
#<alt (* 2 (* x (sqrt (/ 1 (PI)))))>
#<alt (* 2 (* x (sqrt (/ 1 (PI)))))>
#<alt (* 2 (* x (sqrt (/ 1 (PI)))))>
#<alt (* 2 (* x (sqrt (/ 1 (PI)))))>
#<alt (* 2 (* x (sqrt (/ 1 (PI)))))>
#<alt (* 2 (* x (sqrt (/ 1 (PI)))))>
#<alt (* 2 (* x (sqrt (/ 1 (PI)))))>
#<alt (* 2 (* x (sqrt (/ 1 (PI)))))>
#<alt (* 2 (* x (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))>
#<alt (* 2 (* x (sqrt (/ 1 (PI)))))>
#<alt (* x (+ (* 2/3 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI))))))>
#<alt (* x (+ (* 2/3 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI))))))>
#<alt (* x (+ (* 2/3 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI))))))>
#<alt (* 2/3 (* (pow x 3) (sqrt (/ 1 (PI)))))>
#<alt (* (pow x 3) (+ (* 2/3 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 3) (+ (* 2/3 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 3) (+ (* 2/3 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))>
#<alt (* 2/3 (* (pow x 3) (sqrt (/ 1 (PI)))))>
#<alt (* -1 (* (pow x 3) (+ (* -2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -2/3 (sqrt (/ 1 (PI)))))))>
#<alt (* -1 (* (pow x 3) (+ (* -2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -2/3 (sqrt (/ 1 (PI)))))))>
#<alt (* -1 (* (pow x 3) (+ (* -2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -2/3 (sqrt (/ 1 (PI)))))))>
#<alt (fabs (* (* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2)))))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2)))))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2)))))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2)))))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))) (sqrt (/ 1 (PI)))))>
#<alt (* 2 (* x (sqrt (/ 1 (PI)))))>
#<alt (* x (+ (* 2/3 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI))))))>
#<alt (* x (+ (* 2 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 1/5 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 2/3 (sqrt (/ 1 (PI))))))))>
#<alt (* x (+ (* 2 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 1/5 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 2/3 (sqrt (/ 1 (PI))))))))>
#<alt (* 1/5 (* (pow x 5) (sqrt (/ 1 (PI)))))>
#<alt (* (pow x 5) (+ (* 1/5 (sqrt (/ 1 (PI)))) (* 2/3 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 5) (+ (* 1/5 (sqrt (/ 1 (PI)))) (+ (* 2/3 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* 2 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))))))>
#<alt (* (pow x 5) (+ (* 1/5 (sqrt (/ 1 (PI)))) (+ (* 2/3 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* 2 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))))))>
#<alt (* 1/5 (* (pow x 5) (sqrt (/ 1 (PI)))))>
#<alt (* -1 (* (pow x 5) (+ (* -2/3 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/5 (sqrt (/ 1 (PI)))))))>
#<alt (* -1 (* (pow x 5) (+ (* -2 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* -2/3 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/5 (sqrt (/ 1 (PI))))))))>
#<alt (* -1 (* (pow x 5) (+ (* -2 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* -2/3 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/5 (sqrt (/ 1 (PI))))))))>
#<alt (* 2 (sqrt (/ 1 (PI))))>
#<alt (+ (* 2/3 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI)))))>
#<alt (+ (* 2 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 1/5 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 2/3 (sqrt (/ 1 (PI)))))))>
#<alt (+ (* 2 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 1/5 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 2/3 (sqrt (/ 1 (PI)))))))>
#<alt (* 1/5 (* (pow x 4) (sqrt (/ 1 (PI)))))>
#<alt (* (pow x 4) (+ (* 1/5 (sqrt (/ 1 (PI)))) (* 2/3 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 4) (+ (* 1/5 (sqrt (/ 1 (PI)))) (+ (* 2/3 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* 2 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))))))>
#<alt (* (pow x 4) (+ (* 1/5 (sqrt (/ 1 (PI)))) (+ (* 2/3 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* 2 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))))))>
#<alt (* 1/5 (* (pow x 4) (sqrt (/ 1 (PI)))))>
#<alt (* (pow x 4) (+ (* 1/5 (sqrt (/ 1 (PI)))) (* 2/3 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 4) (+ (* 1/5 (sqrt (/ 1 (PI)))) (+ (* 2/3 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* 2 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))))))>
#<alt (* (pow x 4) (+ (* 1/5 (sqrt (/ 1 (PI)))) (+ (* 2/3 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* 2 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))))))>
#<alt 2>
#<alt (+ 2 (* 2/3 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2)))))>
#<alt (* 1/5 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (* 1/5 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (fabs (* (* x (+ 2 (* 1/21 (pow x 6)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* 1/21 (pow x 6)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* 1/21 (pow x 6)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* 1/21 (pow x 6)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* 1/21 (pow x 6)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* 1/21 (pow x 6)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* 1/21 (pow x 6)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* 1/21 (pow x 6)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* 1/21 (pow x 6)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* 1/21 (pow x 6)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* 1/21 (pow x 6)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* 1/21 (pow x 6)))) (sqrt (/ 1 (PI)))))>
#<alt (* 2 (* x (sqrt (/ 1 (PI)))))>
#<alt (* x (+ (* 1/21 (* (pow x 6) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI))))))>
#<alt (* x (+ (* 1/21 (* (pow x 6) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI))))))>
#<alt (* x (+ (* 1/21 (* (pow x 6) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI))))))>
#<alt (* 1/21 (* (pow x 7) (sqrt (/ 1 (PI)))))>
#<alt (* (pow x 7) (+ (* 1/21 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 7) (+ (* 1/21 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 7) (+ (* 1/21 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))>
#<alt (* 1/21 (* (pow x 7) (sqrt (/ 1 (PI)))))>
#<alt (* -1 (* (pow x 7) (+ (* -2 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))) (* -1/21 (sqrt (/ 1 (PI)))))))>
#<alt (* -1 (* (pow x 7) (+ (* -2 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))) (* -1/21 (sqrt (/ 1 (PI)))))))>
#<alt (* -1 (* (pow x 7) (+ (* -2 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))) (* -1/21 (sqrt (/ 1 (PI)))))))>
#<alt (* 2 (sqrt (/ 1 (PI))))>
#<alt (+ (* 1/21 (* (pow x 6) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI)))))>
#<alt (+ (* 1/21 (* (pow x 6) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI)))))>
#<alt (+ (* 1/21 (* (pow x 6) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI)))))>
#<alt (* 1/21 (* (pow x 6) (sqrt (/ 1 (PI)))))>
#<alt (* (pow x 6) (+ (* 1/21 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 6) (+ (* 1/21 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 6) (+ (* 1/21 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))>
#<alt (* 1/21 (* (pow x 6) (sqrt (/ 1 (PI)))))>
#<alt (* (pow x 6) (+ (* 1/21 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 6) (+ (* 1/21 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 6) (+ (* 1/21 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))>
#<alt 2>
#<alt (+ 2 (* 1/21 (pow x 6)))>
#<alt (+ 2 (* 1/21 (pow x 6)))>
#<alt (+ 2 (* 1/21 (pow x 6)))>
#<alt (* 1/21 (pow x 6))>
#<alt (* (pow x 6) (+ 1/21 (* 2 (/ 1 (pow x 6)))))>
#<alt (* (pow x 6) (+ 1/21 (* 2 (/ 1 (pow x 6)))))>
#<alt (* (pow x 6) (+ 1/21 (* 2 (/ 1 (pow x 6)))))>
#<alt (* 1/21 (pow x 6))>
#<alt (* (pow x 6) (+ 1/21 (* 2 (/ 1 (pow x 6)))))>
#<alt (* (pow x 6) (+ 1/21 (* 2 (/ 1 (pow x 6)))))>
#<alt (* (pow x 6) (+ 1/21 (* 2 (/ 1 (pow x 6)))))>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/5 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))>
#<alt (* 1/21 (pow x 5))>
#<alt (* (pow x 5) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/21 (pow x 5))>
#<alt (* (pow x 5) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 1/21)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 1/21)))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))>
#<alt (* 1/21 (pow x 4))>
#<alt (* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 1/21 (pow x 4))>
#<alt (* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 2/3 (pow x 2))>
#<alt (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))>
#<alt (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))>
#<alt (* 1/21 (pow x 6))>
#<alt (* (pow x 6) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/21 (pow x 6))>
#<alt (* (pow x 6) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2/3 (pow x 2))))>
#<alt (* x (+ 2 (* 2/3 (pow x 2))))>
#<alt (* x (+ 2 (* 2/3 (pow x 2))))>
#<alt (* 2/3 (pow x 3))>
#<alt (* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* 2/3 (pow x 3))>
#<alt (* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2))))>
#<alt (* 1/5 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* 1/5 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))>
#<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 (* 1/21 (pow x 3))>
#<alt (* 1/21 (pow x 3))>
#<alt (* 1/21 (pow x 3))>
#<alt (* 1/21 (pow x 3))>
#<alt (* 1/21 (pow x 3))>
#<alt (* 1/21 (pow x 3))>
#<alt (* 1/21 (pow x 3))>
#<alt (* 1/21 (pow x 3))>
#<alt (* 1/21 (pow x 3))>
#<alt (* 1/21 (pow x 3))>
#<alt (* 1/21 (pow x 3))>
#<alt (* 1/21 (pow x 3))>

Calls

72 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(* (/ (+ 2 (* (* x (* (* x x) 1/21)) (* x (* x x)))) (sqrt (PI))) x)
4.0ms	x	@	inf	(* (/ (+ 2 (* (* x (* (* x x) 1/21)) (* x (* x x)))) (sqrt (PI))) x)
1.0ms	x	@	0	(* (/ (+ 2 (* (* x (* (* x x) 1/21)) (* x (* x x)))) (sqrt (PI))) x)
1.0ms	x	@	0	(* (/ 2 (sqrt (PI))) x)
0.0ms	x	@	0	(* (sqrt (/ 1 (PI))) (* x (+ 2 (* (* x x) 2/3))))

rewrite439.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3922×	`-lowering-.f32`
3922×	`-lowering-.f64`
2752×	`/-lowering-/.f32`
2752×	`/-lowering-/.f64`
2236×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	313
1	280	281
2	2209	265
0	9628	265

Stop Event

1×	iter limit
1×	node limit

Counts

30 → 864

Calls

Call 1

Inputs
(* (pow (PI) -1/2) (fabs (* x (+ 2 (* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21))))))))))
(pow (PI) -1/2)
(PI)
(fabs (* x (+ 2 (* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21)))))))))
(fabs (* (/ 2 (sqrt (PI))) x))
(* (/ 2 (sqrt (PI))) x)
(/ 2 (sqrt (PI)))
(sqrt (PI))
(fabs (* (sqrt (/ 1 (PI))) (* x (+ 2 (* (* x x) 2/3)))))
(* (sqrt (/ 1 (PI))) (* x (+ 2 (* (* x x) 2/3))))
(sqrt (/ 1 (PI)))
(/ 1 (PI))
(fabs (* (/ (+ 2 (* (* x x) (+ 2/3 (* (* x x) 1/5)))) (sqrt (PI))) x))
(* (/ (+ 2 (* (* x x) (+ 2/3 (* (* x x) 1/5)))) (sqrt (PI))) x)
(/ (+ 2 (* (* x x) (+ 2/3 (* (* x x) 1/5)))) (sqrt (PI)))
(+ 2 (* (* x x) (+ 2/3 (* (* x x) 1/5))))
(fabs (* (/ (+ 2 (* (* x (* (* x x) 1/21)) (* x (* x x)))) (sqrt (PI))) x))
(* (/ (+ 2 (* (* x (* (* x x) 1/21)) (* x (* x x)))) (sqrt (PI))) x)
(/ (+ 2 (* (* x (* (* x x) 1/21)) (* x (* x x)))) (sqrt (PI)))
(+ 2 (* (* x (* (* x x) 1/21)) (* x (* x x))))
(* x (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21)))))
(* (* x x) 1/21)
(* (* x x) (+ 1/5 (* (* x x) 1/21)))
(* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21))))))
(* (* x x) 2/3)
(* x (+ 2 (* (* x x) 2/3)))
(* (* x x) 1/5)
(* (* x x) (+ 2/3 (* (* x x) 1/5)))
(* x (* x x))
(* x (* (* x x) 1/21))

Outputs
(fabs.f64 (.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64)))))))))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(fabs.f64 (.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64)))))))))) (neg.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
(fabs.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64))))))))))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(fabs.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64))))))))))) (neg.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
(fabs.f64 (.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64)))))))))))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(fabs.f64 (.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64)))))))))))) (neg.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
(fabs.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64))))))))))))
(fabs.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64)))))))))))))
(fabs.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64))))))))))))))
(fabs.f64 (.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64))))))))))))
(fabs.f64 (.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64)))))))))))))
(fabs.f64 (.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64))))))))))))))
(.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64))))))))))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
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(fma.f64 x (.f64 (.f64 x #s(literal 1/5 binary64)) (.f64 x x)) (.f64 #s(literal 2/3 binary64) (*.f64 x x)))
(fma.f64 #s(literal 2/3 binary64) (.f64 x x) (.f64 (.f64 (.f64 (*.f64 x x) #s(literal 1/5 binary64)) x) x))
(fma.f64 (.f64 x x) #s(literal 2/3 binary64) (.f64 (.f64 (.f64 (*.f64 x x) #s(literal 1/5 binary64)) x) x))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/5 binary64)) (.f64 #s(literal 2/3 binary64) (*.f64 x x)))
(fma.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal 2/3 binary64) (*.f64 x x)))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) (.f64 #s(literal 2/3 binary64) (*.f64 x x)))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/5 binary64)) (.f64 #s(literal 2/3 binary64) (*.f64 x x)))
(fma.f64 (.f64 x #s(literal 2/3 binary64)) x (.f64 (.f64 (.f64 (*.f64 x x) #s(literal 1/5 binary64)) x) x))
(fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/5 binary64) (.f64 #s(literal 2/3 binary64) (*.f64 x x)))
(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/5 binary64)) x) x (.f64 #s(literal 2/3 binary64) (*.f64 x x)))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/27 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/125 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 (.f64 #s(literal 4/9 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/5 binary64)) x) x) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/5 binary64)) x) x)) (.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/5 binary64)) x) x)))))
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(.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 x (.f64 x (*.f64 x #s(literal 1/21 binary64))))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/21 binary64)))
(.f64 #s(literal 1/21 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x (*.f64 x #s(literal 1/21 binary64))) x)
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/21 binary64))
(.f64 (.f64 x #s(literal 1/21 binary64)) (*.f64 x x))

simplify472.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

4164×	`-lowering-.f32`
4164×	`-lowering-.f64`
2016×	`+-lowering-+.f64`
2016×	`+-lowering-+.f32`
1926×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	167	3403
1	591	3116
2	1913	3050
3	4772	3048
0	8439	3048

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

Inputs
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))))
(fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))))
(fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))))
(fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))))
(fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))
(fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))
(fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))
(fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))
(fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))
(fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))
(fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))
(fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))
(fabs (* 2 (* x (sqrt (/ 1 (PI))))))
(fabs (* 2 (* x (sqrt (/ 1 (PI))))))
(fabs (* 2 (* x (sqrt (/ 1 (PI))))))
(fabs (* 2 (* x (sqrt (/ 1 (PI))))))
(fabs (* 2 (* x (sqrt (/ 1 (PI))))))
(fabs (* 2 (* x (sqrt (/ 1 (PI))))))
(fabs (* 2 (* x (sqrt (/ 1 (PI))))))
(fabs (* 2 (* x (sqrt (/ 1 (PI))))))
(fabs (* 2 (* x (sqrt (/ 1 (PI))))))
(fabs (* 2 (* x (sqrt (/ 1 (PI))))))
(fabs (* 2 (* x (sqrt (/ 1 (PI))))))
(fabs (* 2 (* x (sqrt (/ 1 (PI))))))
(* 2 (* x (sqrt (/ 1 (PI)))))
(* 2 (* x (sqrt (/ 1 (PI)))))
(* 2 (* x (sqrt (/ 1 (PI)))))
(* 2 (* x (sqrt (/ 1 (PI)))))
(* 2 (* x (sqrt (/ 1 (PI)))))
(* 2 (* x (sqrt (/ 1 (PI)))))
(* 2 (* x (sqrt (/ 1 (PI)))))
(* 2 (* x (sqrt (/ 1 (PI)))))
(* 2 (* x (sqrt (/ 1 (PI)))))
(* 2 (* x (sqrt (/ 1 (PI)))))
(* 2 (* x (sqrt (/ 1 (PI)))))
(* 2 (* x (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))
(* 2 (* x (sqrt (/ 1 (PI)))))
(* x (+ (* 2/3 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI))))))
(* x (+ (* 2/3 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI))))))
(* x (+ (* 2/3 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI))))))
(* 2/3 (* (pow x 3) (sqrt (/ 1 (PI)))))
(* (pow x 3) (+ (* 2/3 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))
(* (pow x 3) (+ (* 2/3 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))
(* (pow x 3) (+ (* 2/3 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))
(* 2/3 (* (pow x 3) (sqrt (/ 1 (PI)))))
(* -1 (* (pow x 3) (+ (* -2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -2/3 (sqrt (/ 1 (PI)))))))
(* -1 (* (pow x 3) (+ (* -2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -2/3 (sqrt (/ 1 (PI)))))))
(* -1 (* (pow x 3) (+ (* -2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -2/3 (sqrt (/ 1 (PI)))))))
(fabs (* (* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2)))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2)))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2)))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2)))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))) (sqrt (/ 1 (PI)))))
(* 2 (* x (sqrt (/ 1 (PI)))))
(* x (+ (* 2/3 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI))))))
(* x (+ (* 2 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 1/5 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 2/3 (sqrt (/ 1 (PI))))))))
(* x (+ (* 2 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 1/5 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 2/3 (sqrt (/ 1 (PI))))))))
(* 1/5 (* (pow x 5) (sqrt (/ 1 (PI)))))
(* (pow x 5) (+ (* 1/5 (sqrt (/ 1 (PI)))) (* 2/3 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))
(* (pow x 5) (+ (* 1/5 (sqrt (/ 1 (PI)))) (+ (* 2/3 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* 2 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))))))
(* (pow x 5) (+ (* 1/5 (sqrt (/ 1 (PI)))) (+ (* 2/3 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* 2 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))))))
(* 1/5 (* (pow x 5) (sqrt (/ 1 (PI)))))
(* -1 (* (pow x 5) (+ (* -2/3 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/5 (sqrt (/ 1 (PI)))))))
(* -1 (* (pow x 5) (+ (* -2 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* -2/3 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/5 (sqrt (/ 1 (PI))))))))
(* -1 (* (pow x 5) (+ (* -2 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* -2/3 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/5 (sqrt (/ 1 (PI))))))))
(* 2 (sqrt (/ 1 (PI))))
(+ (* 2/3 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI)))))
(+ (* 2 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 1/5 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 2/3 (sqrt (/ 1 (PI)))))))
(+ (* 2 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 1/5 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 2/3 (sqrt (/ 1 (PI)))))))
(* 1/5 (* (pow x 4) (sqrt (/ 1 (PI)))))
(* (pow x 4) (+ (* 1/5 (sqrt (/ 1 (PI)))) (* 2/3 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))
(* (pow x 4) (+ (* 1/5 (sqrt (/ 1 (PI)))) (+ (* 2/3 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* 2 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))))))
(* (pow x 4) (+ (* 1/5 (sqrt (/ 1 (PI)))) (+ (* 2/3 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* 2 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))))))
(* 1/5 (* (pow x 4) (sqrt (/ 1 (PI)))))
(* (pow x 4) (+ (* 1/5 (sqrt (/ 1 (PI)))) (* 2/3 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))
(* (pow x 4) (+ (* 1/5 (sqrt (/ 1 (PI)))) (+ (* 2/3 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* 2 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))))))
(* (pow x 4) (+ (* 1/5 (sqrt (/ 1 (PI)))) (+ (* 2/3 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* 2 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))))))
2
(+ 2 (* 2/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2)))))
(* 1/5 (pow x 4))
(* (pow x 4) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 1/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/5 (pow x 4))
(* (pow x 4) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 1/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(fabs (* (* x (+ 2 (* 1/21 (pow x 6)))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* 1/21 (pow x 6)))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* 1/21 (pow x 6)))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* 1/21 (pow x 6)))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* 1/21 (pow x 6)))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* 1/21 (pow x 6)))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* 1/21 (pow x 6)))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* 1/21 (pow x 6)))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* 1/21 (pow x 6)))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* 1/21 (pow x 6)))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* 1/21 (pow x 6)))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* 1/21 (pow x 6)))) (sqrt (/ 1 (PI)))))
(* 2 (* x (sqrt (/ 1 (PI)))))
(* x (+ (* 1/21 (* (pow x 6) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI))))))
(* x (+ (* 1/21 (* (pow x 6) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI))))))
(* x (+ (* 1/21 (* (pow x 6) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI))))))
(* 1/21 (* (pow x 7) (sqrt (/ 1 (PI)))))
(* (pow x 7) (+ (* 1/21 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))
(* (pow x 7) (+ (* 1/21 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))
(* (pow x 7) (+ (* 1/21 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))
(* 1/21 (* (pow x 7) (sqrt (/ 1 (PI)))))
(* -1 (* (pow x 7) (+ (* -2 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))) (* -1/21 (sqrt (/ 1 (PI)))))))
(* -1 (* (pow x 7) (+ (* -2 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))) (* -1/21 (sqrt (/ 1 (PI)))))))
(* -1 (* (pow x 7) (+ (* -2 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))) (* -1/21 (sqrt (/ 1 (PI)))))))
(* 2 (sqrt (/ 1 (PI))))
(+ (* 1/21 (* (pow x 6) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI)))))
(+ (* 1/21 (* (pow x 6) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI)))))
(+ (* 1/21 (* (pow x 6) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI)))))
(* 1/21 (* (pow x 6) (sqrt (/ 1 (PI)))))
(* (pow x 6) (+ (* 1/21 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))
(* (pow x 6) (+ (* 1/21 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))
(* (pow x 6) (+ (* 1/21 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))
(* 1/21 (* (pow x 6) (sqrt (/ 1 (PI)))))
(* (pow x 6) (+ (* 1/21 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))
(* (pow x 6) (+ (* 1/21 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))
(* (pow x 6) (+ (* 1/21 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))
2
(+ 2 (* 1/21 (pow x 6)))
(+ 2 (* 1/21 (pow x 6)))
(+ 2 (* 1/21 (pow x 6)))
(* 1/21 (pow x 6))
(* (pow x 6) (+ 1/21 (* 2 (/ 1 (pow x 6)))))
(* (pow x 6) (+ 1/21 (* 2 (/ 1 (pow x 6)))))
(* (pow x 6) (+ 1/21 (* 2 (/ 1 (pow x 6)))))
(* 1/21 (pow x 6))
(* (pow x 6) (+ 1/21 (* 2 (/ 1 (pow x 6)))))
(* (pow x 6) (+ 1/21 (* 2 (/ 1 (pow x 6)))))
(* (pow x 6) (+ 1/21 (* 2 (/ 1 (pow x 6)))))
(* 2/3 x)
(* x (+ 2/3 (* 1/5 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))
(* 1/21 (pow x 5))
(* (pow x 5) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/21 (pow x 5))
(* (pow x 5) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 1/21)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 1/21)))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/5 (pow x 2))
(* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))
(* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))
(* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))
(* 1/21 (pow x 4))
(* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* 1/21 (pow x 4))
(* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* 1/5 (pow x 2))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))
(* 1/21 (pow x 6))
(* (pow x 6) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/21 (pow x 6))
(* (pow x 6) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 2/3 (pow x 2))
(* 2/3 (pow x 2))
(* 2/3 (pow x 2))
(* 2/3 (pow x 2))
(* 2/3 (pow x 2))
(* 2/3 (pow x 2))
(* 2/3 (pow x 2))
(* 2/3 (pow x 2))
(* 2/3 (pow x 2))
(* 2/3 (pow x 2))
(* 2/3 (pow x 2))
(* 2/3 (pow x 2))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* 2/3 (pow x 2))))
(* 2/3 (pow x 3))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* 2/3 (pow x 3))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* 1/5 (pow x 2))))
(* (pow x 2) (+ 2/3 (* 1/5 (pow x 2))))
(* (pow x 2) (+ 2/3 (* 1/5 (pow x 2))))
(* 1/5 (pow x 4))
(* (pow x 4) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))
(* 1/5 (pow x 4))
(* (pow x 4) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))
(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)
(* 1/21 (pow x 3))
(* 1/21 (pow x 3))
(* 1/21 (pow x 3))
(* 1/21 (pow x 3))
(* 1/21 (pow x 3))
(* 1/21 (pow x 3))
(* 1/21 (pow x 3))
(* 1/21 (pow x 3))
(* 1/21 (pow x 3))
(* 1/21 (pow x 3))
(* 1/21 (pow x 3))
(* 1/21 (pow x 3))

Outputs
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64))))))))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64))))))))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64))))))))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64))))))))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 (+.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))))) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 (+.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))))) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 (+.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))))) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 (+.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))))) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 (+.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))))) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 (+.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))))) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 (+.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))))) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 (+.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))))) (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))))))
(fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))))
(fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/21 binary64)))))))))))
(fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))))
(fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/21 binary64)))))))))))
(fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))))
(fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/21 binary64)))))))))))
(fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))))
(fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/21 binary64)))))))))))
(fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))
(fabs.f64 (+.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))))) (.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64)))))
(fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))
(fabs.f64 (+.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))))) (.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64)))))
(fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))
(fabs.f64 (+.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))))) (.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64)))))
(fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))
(fabs.f64 (+.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))))) (.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64)))))
(fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))
(fabs.f64 (+.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))))) (.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64)))))
(fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))
(fabs.f64 (+.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))))) (.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64)))))
(fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))
(fabs.f64 (+.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))))) (.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64)))))
(fabs (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))
(fabs.f64 (+.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))))) (.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64)))))
(fabs (* 2 (* x (sqrt (/ 1 (PI))))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x #s(literal 2 binary64))))
(fabs (* 2 (* x (sqrt (/ 1 (PI))))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x #s(literal 2 binary64))))
(fabs (* 2 (* x (sqrt (/ 1 (PI))))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x #s(literal 2 binary64))))
(fabs (* 2 (* x (sqrt (/ 1 (PI))))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x #s(literal 2 binary64))))
(fabs (* 2 (* x (sqrt (/ 1 (PI))))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x #s(literal 2 binary64))))
(fabs (* 2 (* x (sqrt (/ 1 (PI))))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x #s(literal 2 binary64))))
(fabs (* 2 (* x (sqrt (/ 1 (PI))))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x #s(literal 2 binary64))))
(fabs (* 2 (* x (sqrt (/ 1 (PI))))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x #s(literal 2 binary64))))
(fabs (* 2 (* x (sqrt (/ 1 (PI))))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x #s(literal 2 binary64))))
(fabs (* 2 (* x (sqrt (/ 1 (PI))))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x #s(literal 2 binary64))))
(fabs (* 2 (* x (sqrt (/ 1 (PI))))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x #s(literal 2 binary64))))
(fabs (* 2 (* x (sqrt (/ 1 (PI))))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x #s(literal 2 binary64))))
(* 2 (* x (sqrt (/ 1 (PI)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x #s(literal 2 binary64)))
(* 2 (* x (sqrt (/ 1 (PI)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x #s(literal 2 binary64)))
(* 2 (* x (sqrt (/ 1 (PI)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x #s(literal 2 binary64)))
(* 2 (* x (sqrt (/ 1 (PI)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x #s(literal 2 binary64)))
(* 2 (* x (sqrt (/ 1 (PI)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x #s(literal 2 binary64)))
(* 2 (* x (sqrt (/ 1 (PI)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x #s(literal 2 binary64)))
(* 2 (* x (sqrt (/ 1 (PI)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x #s(literal 2 binary64)))
(* 2 (* x (sqrt (/ 1 (PI)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x #s(literal 2 binary64)))
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(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))))
(* 2/3 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 2/3 binary64))))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))))
(* 1/5 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5 binary64))
(* 1/5 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5 binary64))
(* 1/5 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5 binary64))
(* 1/5 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5 binary64))
(* 1/5 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5 binary64))
(* 1/5 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5 binary64))
(* 1/5 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5 binary64))
(* 1/5 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5 binary64))
(* 1/5 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5 binary64))
(* 1/5 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5 binary64))
(* 1/5 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5 binary64))
(* 1/5 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5 binary64))
(* 2/3 (pow x 2))
(.f64 x (.f64 x #s(literal 2/3 binary64)))
(* (pow x 2) (+ 2/3 (* 1/5 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64))))
(* (pow x 2) (+ 2/3 (* 1/5 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64))))
(* (pow x 2) (+ 2/3 (* 1/5 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64))))
(* 1/5 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5 binary64))))
(* (pow x 4) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))))
(* 1/5 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5 binary64))))
(* (pow x 4) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 2/3 binary64) (*.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 3)
(.f64 x (.f64 x x))
(* 1/21 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/21 binary64))))
(* 1/21 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/21 binary64))))
(* 1/21 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/21 binary64))))
(* 1/21 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/21 binary64))))
(* 1/21 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/21 binary64))))
(* 1/21 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/21 binary64))))
(* 1/21 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/21 binary64))))
(* 1/21 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/21 binary64))))
(* 1/21 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/21 binary64))))
(* 1/21 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/21 binary64))))
(* 1/21 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/21 binary64))))
(* 1/21 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/21 binary64))))

eval201.0ms (1.5%)

Compiler: Compiled 38178 to 4613 computations (87.9% saved)

prune168.0ms (1.3%)

Pruning

22 alts after pruning (18 fresh and 4 done)

	Pruned	Kept	Total
New	1424	14	1438
Fresh	1	4	5
Picked	1	4	5
Done	0	0	0
Total	1426	22	1448

Accuracy

100.0%

Counts

1448 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	93.9%	(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))))) (sqrt.f64 (PI.f64)))
	97.5%	(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/21 binary64))))))))) (sqrt.f64 (PI.f64)))
▶	89.1%	(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (*.f64 x x))))) (sqrt.f64 (PI.f64)))
▶	69.9%	(/.f64 (fabs.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))
	69.9%	(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (PI.f64)) x))))
✓	99.8%	(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))))))
	98.5%	(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/21 binary64))))))))))))
	98.0%	(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x (.f64 x #s(literal 1/21 binary64))) x) (.f64 x (*.f64 x x)))) (sqrt.f64 (PI.f64))) x))
	94.4%	(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))) x)) (sqrt.f64 (PI.f64))) x))
✓	98.0%	(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/21 binary64))) (.f64 x (*.f64 x x)))) (sqrt.f64 (PI.f64))) x))
✓	94.4%	(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))) (sqrt.f64 (PI.f64))) x))
	94.4%	(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x #s(literal 1/5 binary64)) x)))) (sqrt.f64 (PI.f64))) x))
	98.5%	(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))) (sqrt.f64 (PI.f64))) x))
	89.6%	(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sqrt.f64 (PI.f64))) x))
▶	93.5%	(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5 binary64))))) (sqrt.f64 (PI.f64))) x))
	89.6%	(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64)))) (sqrt.f64 (PI.f64))) x))
	89.1%	(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (PI.f64)))))
	29.5%	(fabs.f64 (.f64 (/.f64 (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5 binary64)))) (sqrt.f64 (PI.f64))) x))
✓	70.4%	(fabs.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x))
▶	99.4%	(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))) (/.f64 x (sqrt.f64 (PI.f64)))))
	89.6%	(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (.f64 x x))) (.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
▶	33.8%	(fabs.f64 (.f64 (.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/21 binary64))) (.f64 x (.f64 x x))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x))

Compiler

Compiled 727 to 528 computations (27.4% saved)

simplify336.0ms (2.5%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Program
✓	cost-diff	(.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/21 binary64))) (.f64 x (.f64 x x)))
✓	cost-diff	(.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/21 binary64))) (.f64 x (*.f64 x x))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
✓	cost-diff	(.f64 (.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/21 binary64))) (.f64 x (.f64 x x))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x)
✓	cost-diff	(fabs.f64 (.f64 (.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/21 binary64))) (.f64 x (.f64 x x))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x))
✓	cost-diff	(+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5 binary64)))))
✓	cost-diff	(/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5 binary64))))) (sqrt.f64 (PI.f64)))
✓	cost-diff	(.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5 binary64))))) (sqrt.f64 (PI.f64))) x)
✓	cost-diff	(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5 binary64))))) (sqrt.f64 (PI.f64))) x))
✓	cost-diff	(+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (.f64 x x)))
✓	cost-diff	(.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (*.f64 x x))))
✓	cost-diff	(fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (*.f64 x x)))))
✓	cost-diff	(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (*.f64 x x))))) (sqrt.f64 (PI.f64)))
✓	cost-diff	(sqrt.f64 (PI.f64))
✓	cost-diff	(*.f64 x #s(literal 2 binary64))
✓	cost-diff	(fabs.f64 (*.f64 x #s(literal 2 binary64)))
✓	cost-diff	(/.f64 (fabs.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))
✓	cost-diff	(.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))
✓	cost-diff	(+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))))))
✓	cost-diff	(.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))) (/.f64 x (sqrt.f64 (PI.f64))))
✓	cost-diff	(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))) (/.f64 x (sqrt.f64 (PI.f64)))))

Rules

5502×	`fma-define`
5196×	`fma-lowering-fma.f32`
5196×	`fma-lowering-fma.f64`
4198×	`-lowering-.f32`
4198×	`-lowering-.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	41	375
1	116	350
2	339	324
3	846	324
4	1844	320
5	3251	320
6	4301	320
7	4830	320
8	5052	320
9	5245	320
10	5521	320
11	5697	320
12	5757	320
13	5882	320
14	5882	320
15	7892	320
16	7892	320
17	7892	320
18	7892	320
0	8809	320

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(fabs (* (+ 2 (* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21))))))) (/ x (sqrt (PI)))))
(* (+ 2 (* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21))))))) (/ x (sqrt (PI))))
(+ 2 (* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21)))))))
2
(* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21))))))
x
(* x (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21)))))
(+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21))))
2/3
(* (* x x) (+ 1/5 (* (* x x) 1/21)))
(* x x)
(+ 1/5 (* (* x x) 1/21))
1/5
(* (* x x) 1/21)
1/21
(/ x (sqrt (PI)))
(sqrt (PI))
(PI)
(/ (fabs (* x 2)) (sqrt (PI)))
(fabs (* x 2))
(* x 2)
x
2
(sqrt (PI))
(PI)
(/ (fabs (* x (+ 2 (* 2/3 (* x x))))) (sqrt (PI)))
(fabs (* x (+ 2 (* 2/3 (* x x)))))
(* x (+ 2 (* 2/3 (* x x))))
x
(+ 2 (* 2/3 (* x x)))
2
(* 2/3 (* x x))
2/3
(* x x)
(sqrt (PI))
(PI)
(fabs (* (/ (+ 2 (* x (* x (* (* x x) 1/5)))) (sqrt (PI))) x))
(* (/ (+ 2 (* x (* x (* (* x x) 1/5)))) (sqrt (PI))) x)
(/ (+ 2 (* x (* x (* (* x x) 1/5)))) (sqrt (PI)))
(+ 2 (* x (* x (* (* x x) 1/5))))
2
(* x (* x (* (* x x) 1/5)))
x
(* x (* (* x x) 1/5))
(* (* x x) 1/5)
(* x x)
1/5
(sqrt (PI))
(PI)
(fabs (* (* (* (* x (* (* x x) 1/21)) (* x (* x x))) (pow (PI) -1/2)) x))
(* (* (* (* x (* (* x x) 1/21)) (* x (* x x))) (pow (PI) -1/2)) x)
(* (* (* x (* (* x x) 1/21)) (* x (* x x))) (pow (PI) -1/2))
(* (* x (* (* x x) 1/21)) (* x (* x x)))
(* x (* (* x x) 1/21))
x
(* (* x x) 1/21)
(* x x)
1/21
(* x (* x x))
(pow (PI) -1/2)
(PI)
-1/2

Outputs
(fabs (* (+ 2 (* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21))))))) (/ x (sqrt (PI)))))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))))) (/.f64 x (sqrt.f64 (PI.f64)))))
(* (+ 2 (* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21))))))) (/ x (sqrt (PI))))
(.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))))) (/.f64 x (sqrt.f64 (PI.f64))))
(+ 2 (* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21)))))))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))))
2
#s(literal 2 binary64)
(* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21))))))
(.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))))))
x
(* x (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21)))))
(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))
(+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21))))
(+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))))
2/3
#s(literal 2/3 binary64)
(* (* x x) (+ 1/5 (* (* x x) 1/21)))
(.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))
(* x x)
(*.f64 x x)
(+ 1/5 (* (* x x) 1/21))
(+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))
1/5
#s(literal 1/5 binary64)
(* (* x x) 1/21)
(.f64 (.f64 x x) #s(literal 1/21 binary64))
1/21
#s(literal 1/21 binary64)
(/ x (sqrt (PI)))
(/.f64 x (sqrt.f64 (PI.f64)))
(sqrt (PI))
(sqrt.f64 (PI.f64))
(PI)
(PI.f64)
(/ (fabs (* x 2)) (sqrt (PI)))
(/.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(fabs (* x 2))
(*.f64 #s(literal 2 binary64) (fabs.f64 x))
(* x 2)
(*.f64 #s(literal 2 binary64) x)
x
2
#s(literal 2 binary64)
(sqrt (PI))
(sqrt.f64 (PI.f64))
(PI)
(PI.f64)
(/ (fabs (* x (+ 2 (* 2/3 (* x x))))) (sqrt (PI)))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64)))))) (sqrt.f64 (PI.f64)))
(fabs (* x (+ 2 (* 2/3 (* x x)))))
(fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64))))))
(* x (+ 2 (* 2/3 (* x x))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64)))))
x
(+ 2 (* 2/3 (* x x)))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))
2
#s(literal 2 binary64)
(* 2/3 (* x x))
(.f64 x (.f64 x #s(literal 2/3 binary64)))
2/3
#s(literal 2/3 binary64)
(* x x)
(*.f64 x x)
(sqrt (PI))
(sqrt.f64 (PI.f64))
(PI)
(PI.f64)
(fabs (* (/ (+ 2 (* x (* x (* (* x x) 1/5)))) (sqrt (PI))) x))
(fabs.f64 (.f64 (/.f64 x (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))))
(* (/ (+ 2 (* x (* x (* (* x x) 1/5)))) (sqrt (PI))) x)
(.f64 (/.f64 x (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))))
(/ (+ 2 (* x (* x (* (* x x) 1/5)))) (sqrt (PI)))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/5 binary64)))) (sqrt.f64 (PI.f64)))
(+ 2 (* x (* x (* (* x x) 1/5))))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/5 binary64))))
2
#s(literal 2 binary64)
(* x (* x (* (* x x) 1/5)))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/5 binary64)))
x
(* x (* (* x x) 1/5))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/5 binary64)))
(* (* x x) 1/5)
(.f64 (.f64 x x) #s(literal 1/5 binary64))
(* x x)
(*.f64 x x)
1/5
#s(literal 1/5 binary64)
(sqrt (PI))
(sqrt.f64 (PI.f64))
(PI)
(PI.f64)
(fabs (* (* (* (* x (* (* x x) 1/21)) (* x (* x x))) (pow (PI) -1/2)) x))
(.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) #s(literal 1/21 binary64)) (.f64 (.f64 x x) (fabs.f64 (.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))))
(* (* (* (* x (* (* x x) 1/21)) (* x (* x x))) (pow (PI) -1/2)) x)
(.f64 (.f64 (.f64 x x) #s(literal 1/21 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64))))))
(* (* (* x (* (* x x) 1/21)) (* x (* x x))) (pow (PI) -1/2))
(.f64 (.f64 (.f64 x x) #s(literal 1/21 binary64)) (.f64 (.f64 x x) (.f64 x (*.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64))))))
(* (* x (* (* x x) 1/21)) (* x (* x x)))
(.f64 (.f64 x x) (.f64 #s(literal 1/21 binary64) (.f64 x (.f64 x (.f64 x x)))))
(* x (* (* x x) 1/21))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/21 binary64)))
x
(* (* x x) 1/21)
(.f64 (.f64 x x) #s(literal 1/21 binary64))
(* x x)
(*.f64 x x)
1/21
#s(literal 1/21 binary64)
(* x (* x x))
(.f64 x (.f64 x x))
(pow (PI) -1/2)
(pow.f64 (PI.f64) #s(literal -1/2 binary64))
(PI)
(PI.f64)
-1/2
#s(literal -1/2 binary64)

localize200.0ms (1.5%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/21 binary64))) (.f64 x (.f64 x x)))
✓	accuracy	99.8%	(.f64 x (.f64 (*.f64 x x) #s(literal 1/21 binary64)))
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/21 binary64))
✓	accuracy	99.9%	(.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5 binary64))))) (sqrt.f64 (PI.f64))) x)
✓	accuracy	99.9%	(.f64 x (.f64 (*.f64 x x) #s(literal 1/5 binary64)))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/5 binary64))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (*.f64 x x))))
✓	accuracy	99.7%	(.f64 #s(literal 2/3 binary64) (.f64 x x))
✓	accuracy	99.6%	(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (*.f64 x x))))) (sqrt.f64 (PI.f64)))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	100.0%	(fabs.f64 (*.f64 x #s(literal 2 binary64)))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.5%	(/.f64 (fabs.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/21 binary64))
✓	accuracy	99.7%	(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))
✓	accuracy	99.5%	(/.f64 x (sqrt.f64 (PI.f64)))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))

Results

126.0ms

256×

valid

Compiler

Compiled 409 to 42 computations (89.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-mult: 32.0ms (42.7% of total)

...c/correct-round.rkt:119:19: 13.0ms (17.4% of total)

ival-pow: 7.0ms (9.4% of total)

ival-div: 6.0ms (8% of total)

ival-add: 6.0ms (8% of total)

ival-fabs: 6.0ms (8% of total)

ival-pi: 2.0ms (2.7% of total)

ival-sqrt: 2.0ms (2.7% of total)

const: 1.0ms (1.3% of total)

backward-pass: 0.0ms (0% of total)

series36.0ms (0.3%)

Counts

29 → 324

Calls

Call 1

Inputs
#<alt (fabs (* (+ 2 (* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21))))))) (/ x (sqrt (PI)))))>
#<alt (* (+ 2 (* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21))))))) (/ x (sqrt (PI))))>
#<alt (+ 2 (* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21)))))))>
#<alt (* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21))))))>
#<alt (/ (fabs (* x 2)) (sqrt (PI)))>
#<alt (fabs (* x 2))>
#<alt (* x 2)>
#<alt (sqrt (PI))>
#<alt (/ (fabs (* x (+ 2 (* 2/3 (* x x))))) (sqrt (PI)))>
#<alt (fabs (* x (+ 2 (* 2/3 (* x x)))))>
#<alt (* x (+ 2 (* 2/3 (* x x))))>
#<alt (+ 2 (* 2/3 (* x x)))>
#<alt (fabs (* (/ (+ 2 (* x (* x (* (* x x) 1/5)))) (sqrt (PI))) x))>
#<alt (* (/ (+ 2 (* x (* x (* (* x x) 1/5)))) (sqrt (PI))) x)>
#<alt (/ (+ 2 (* x (* x (* (* x x) 1/5)))) (sqrt (PI)))>
#<alt (+ 2 (* x (* x (* (* x x) 1/5))))>
#<alt (fabs (* (* (* (* x (* (* x x) 1/21)) (* x (* x x))) (pow (PI) -1/2)) x))>
#<alt (* (* (* (* x (* (* x x) 1/21)) (* x (* x x))) (pow (PI) -1/2)) x)>
#<alt (* (* (* x (* (* x x) 1/21)) (* x (* x x))) (pow (PI) -1/2))>
#<alt (* (* x (* (* x x) 1/21)) (* x (* x x)))>
#<alt (/ x (sqrt (PI)))>
#<alt (* x (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21)))))>
#<alt (* (* x x) 1/21)>
#<alt (PI)>
#<alt (* 2/3 (* x x))>
#<alt (* (* x x) 1/5)>
#<alt (* x (* (* x x) 1/5))>
#<alt (* x (* x x))>
#<alt (* x (* (* x x) 1/21))>

Outputs
#<alt (fabs (* (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))) (sqrt (/ 1 (PI)))))>
#<alt (* 2 (* x (sqrt (/ 1 (PI)))))>
#<alt (* x (+ (* 2/3 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI))))))>
#<alt (* x (+ (* 2 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 1/5 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 2/3 (sqrt (/ 1 (PI))))))))>
#<alt (* x (+ (* 2 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 2/3 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 1/21 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 1/5 (sqrt (/ 1 (PI))))))))))>
#<alt (* 1/21 (* (pow x 7) (sqrt (/ 1 (PI)))))>
#<alt (* (pow x 7) (+ (* 1/21 (sqrt (/ 1 (PI)))) (* 1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 7) (+ (* 1/21 (sqrt (/ 1 (PI)))) (+ (* 1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* 2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))))))>
#<alt (* (pow x 7) (+ (* 1/21 (sqrt (/ 1 (PI)))) (+ (* 1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* 2 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))))>
#<alt (* 1/21 (* (pow x 7) (sqrt (/ 1 (PI)))))>
#<alt (* -1 (* (pow x 7) (+ (* -1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/21 (sqrt (/ 1 (PI)))))))>
#<alt (* -1 (* (pow x 7) (+ (* -2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* -1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/21 (sqrt (/ 1 (PI))))))))>
#<alt (* -1 (* (pow x 7) (+ (* -2 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* -1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/21 (sqrt (/ 1 (PI)))))))))>
#<alt 2>
#<alt (+ 2 (* 2/3 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))>
#<alt (* 1/21 (pow x 6))>
#<alt (* (pow x 6) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))>
#<alt (* 1/21 (pow x 6))>
#<alt (* (pow x 6) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))>
#<alt (* 2/3 (pow x 2))>
#<alt (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))>
#<alt (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))>
#<alt (* 1/21 (pow x 6))>
#<alt (* (pow x 6) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/21 (pow x 6))>
#<alt (* (pow x 6) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* 2 x)))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* 2 x)))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* 2 x)))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* 2 x)))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* 2 x)))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* 2 x)))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* 2 x)))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* 2 x)))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* 2 x)))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* 2 x)))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* 2 x)))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* 2 x)))>
#<alt (fabs (* 2 x))>
#<alt (fabs (* 2 x))>
#<alt (fabs (* 2 x))>
#<alt (fabs (* 2 x))>
#<alt (fabs (* 2 x))>
#<alt (fabs (* 2 x))>
#<alt (fabs (* 2 x))>
#<alt (fabs (* 2 x))>
#<alt (fabs (* 2 x))>
#<alt (fabs (* 2 x))>
#<alt (fabs (* 2 x))>
#<alt (fabs (* 2 x))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* 2/3 (pow x 2))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* 2/3 (pow x 2))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* 2/3 (pow x 2))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* 2/3 (pow x 2))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* 2/3 (pow x 2))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* 2/3 (pow x 2))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* 2/3 (pow x 2))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* 2/3 (pow x 2))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* 2/3 (pow x 2))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* 2/3 (pow x 2))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* 2/3 (pow x 2))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* 2/3 (pow x 2))))))>
#<alt (fabs (* x (+ 2 (* 2/3 (pow x 2)))))>
#<alt (fabs (* x (+ 2 (* 2/3 (pow x 2)))))>
#<alt (fabs (* x (+ 2 (* 2/3 (pow x 2)))))>
#<alt (fabs (* x (+ 2 (* 2/3 (pow x 2)))))>
#<alt (fabs (* x (+ 2 (* 2/3 (pow x 2)))))>
#<alt (fabs (* x (+ 2 (* 2/3 (pow x 2)))))>
#<alt (fabs (* x (+ 2 (* 2/3 (pow x 2)))))>
#<alt (fabs (* x (+ 2 (* 2/3 (pow x 2)))))>
#<alt (fabs (* x (+ 2 (* 2/3 (pow x 2)))))>
#<alt (fabs (* x (+ 2 (* 2/3 (pow x 2)))))>
#<alt (fabs (* x (+ 2 (* 2/3 (pow x 2)))))>
#<alt (fabs (* x (+ 2 (* 2/3 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2/3 (pow x 2))))>
#<alt (* x (+ 2 (* 2/3 (pow x 2))))>
#<alt (* x (+ 2 (* 2/3 (pow x 2))))>
#<alt (* 2/3 (pow x 3))>
#<alt (* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* 2/3 (pow x 3))>
#<alt (* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))>
#<alt 2>
#<alt (+ 2 (* 2/3 (pow x 2)))>
#<alt (+ 2 (* 2/3 (pow x 2)))>
#<alt (+ 2 (* 2/3 (pow x 2)))>
#<alt (* 2/3 (pow x 2))>
#<alt (* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* 2/3 (pow x 2))>
#<alt (* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (fabs (* (* x (+ 2 (* 1/5 (pow x 4)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* 1/5 (pow x 4)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* 1/5 (pow x 4)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* 1/5 (pow x 4)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* 1/5 (pow x 4)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* 1/5 (pow x 4)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* 1/5 (pow x 4)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* 1/5 (pow x 4)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* 1/5 (pow x 4)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* 1/5 (pow x 4)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* 1/5 (pow x 4)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* 1/5 (pow x 4)))) (sqrt (/ 1 (PI)))))>
#<alt (* 2 (* x (sqrt (/ 1 (PI)))))>
#<alt (* x (+ (* 1/5 (* (pow x 4) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI))))))>
#<alt (* x (+ (* 1/5 (* (pow x 4) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI))))))>
#<alt (* x (+ (* 1/5 (* (pow x 4) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI))))))>
#<alt (* 1/5 (* (pow x 5) (sqrt (/ 1 (PI)))))>
#<alt (* (pow x 5) (+ (* 1/5 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 5) (+ (* 1/5 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 5) (+ (* 1/5 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))))))>
#<alt (* 1/5 (* (pow x 5) (sqrt (/ 1 (PI)))))>
#<alt (* -1 (* (pow x 5) (+ (* -2 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/5 (sqrt (/ 1 (PI)))))))>
#<alt (* -1 (* (pow x 5) (+ (* -2 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/5 (sqrt (/ 1 (PI)))))))>
#<alt (* -1 (* (pow x 5) (+ (* -2 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/5 (sqrt (/ 1 (PI)))))))>
#<alt (* 2 (sqrt (/ 1 (PI))))>
#<alt (+ (* 1/5 (* (pow x 4) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI)))))>
#<alt (+ (* 1/5 (* (pow x 4) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI)))))>
#<alt (+ (* 1/5 (* (pow x 4) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI)))))>
#<alt (* 1/5 (* (pow x 4) (sqrt (/ 1 (PI)))))>
#<alt (* (pow x 4) (+ (* 1/5 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 4) (+ (* 1/5 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 4) (+ (* 1/5 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))))))>
#<alt (* 1/5 (* (pow x 4) (sqrt (/ 1 (PI)))))>
#<alt (* (pow x 4) (+ (* 1/5 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 4) (+ (* 1/5 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 4) (+ (* 1/5 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))))))>
#<alt 2>
#<alt (+ 2 (* 1/5 (pow x 4)))>
#<alt (+ 2 (* 1/5 (pow x 4)))>
#<alt (+ 2 (* 1/5 (pow x 4)))>
#<alt (* 1/5 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5 (* 2 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/5 (* 2 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/5 (* 2 (/ 1 (pow x 4)))))>
#<alt (* 1/5 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5 (* 2 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/5 (* 2 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/5 (* 2 (/ 1 (pow x 4)))))>
#<alt (fabs (* 1/21 (* (pow x 7) (sqrt (/ 1 (PI))))))>
#<alt (fabs (* 1/21 (* (pow x 7) (sqrt (/ 1 (PI))))))>
#<alt (fabs (* 1/21 (* (pow x 7) (sqrt (/ 1 (PI))))))>
#<alt (fabs (* 1/21 (* (pow x 7) (sqrt (/ 1 (PI))))))>
#<alt (fabs (* 1/21 (* (pow x 7) (sqrt (/ 1 (PI))))))>
#<alt (fabs (* 1/21 (* (pow x 7) (sqrt (/ 1 (PI))))))>
#<alt (fabs (* 1/21 (* (pow x 7) (sqrt (/ 1 (PI))))))>
#<alt (fabs (* 1/21 (* (pow x 7) (sqrt (/ 1 (PI))))))>
#<alt (fabs (* 1/21 (* (pow x 7) (sqrt (/ 1 (PI))))))>
#<alt (fabs (* 1/21 (* (pow x 7) (sqrt (/ 1 (PI))))))>
#<alt (fabs (* 1/21 (* (pow x 7) (sqrt (/ 1 (PI))))))>
#<alt (fabs (* 1/21 (* (pow x 7) (sqrt (/ 1 (PI))))))>
#<alt (* 1/21 (* (pow x 7) (sqrt (/ 1 (PI)))))>
#<alt (* 1/21 (* (pow x 7) (sqrt (/ 1 (PI)))))>
#<alt (* 1/21 (* (pow x 7) (sqrt (/ 1 (PI)))))>
#<alt (* 1/21 (* (pow x 7) (sqrt (/ 1 (PI)))))>
#<alt (* 1/21 (* (pow x 7) (sqrt (/ 1 (PI)))))>
#<alt (* 1/21 (* (pow x 7) (sqrt (/ 1 (PI)))))>
#<alt (* 1/21 (* (pow x 7) (sqrt (/ 1 (PI)))))>
#<alt (* 1/21 (* (pow x 7) (sqrt (/ 1 (PI)))))>
#<alt (* 1/21 (* (pow x 7) (sqrt (/ 1 (PI)))))>
#<alt (* 1/21 (* (pow x 7) (sqrt (/ 1 (PI)))))>
#<alt (* 1/21 (* (pow x 7) (sqrt (/ 1 (PI)))))>
#<alt (* 1/21 (* (pow x 7) (sqrt (/ 1 (PI)))))>
#<alt (* 1/21 (* (pow x 6) (sqrt (/ 1 (PI)))))>
#<alt (* 1/21 (* (pow x 6) (sqrt (/ 1 (PI)))))>
#<alt (* 1/21 (* (pow x 6) (sqrt (/ 1 (PI)))))>
#<alt (* 1/21 (* (pow x 6) (sqrt (/ 1 (PI)))))>
#<alt (* 1/21 (* (pow x 6) (sqrt (/ 1 (PI)))))>
#<alt (* 1/21 (* (pow x 6) (sqrt (/ 1 (PI)))))>
#<alt (* 1/21 (* (pow x 6) (sqrt (/ 1 (PI)))))>
#<alt (* 1/21 (* (pow x 6) (sqrt (/ 1 (PI)))))>
#<alt (* 1/21 (* (pow x 6) (sqrt (/ 1 (PI)))))>
#<alt (* 1/21 (* (pow x 6) (sqrt (/ 1 (PI)))))>
#<alt (* 1/21 (* (pow x 6) (sqrt (/ 1 (PI)))))>
#<alt (* 1/21 (* (pow x 6) (sqrt (/ 1 (PI)))))>
#<alt (* 1/21 (pow x 6))>
#<alt (* 1/21 (pow x 6))>
#<alt (* 1/21 (pow x 6))>
#<alt (* 1/21 (pow x 6))>
#<alt (* 1/21 (pow x 6))>
#<alt (* 1/21 (pow x 6))>
#<alt (* 1/21 (pow x 6))>
#<alt (* 1/21 (pow x 6))>
#<alt (* 1/21 (pow x 6))>
#<alt (* 1/21 (pow x 6))>
#<alt (* 1/21 (pow x 6))>
#<alt (* 1/21 (pow x 6))>
#<alt (* x (sqrt (/ 1 (PI))))>
#<alt (* x (sqrt (/ 1 (PI))))>
#<alt (* x (sqrt (/ 1 (PI))))>
#<alt (* x (sqrt (/ 1 (PI))))>
#<alt (* x (sqrt (/ 1 (PI))))>
#<alt (* x (sqrt (/ 1 (PI))))>
#<alt (* x (sqrt (/ 1 (PI))))>
#<alt (* x (sqrt (/ 1 (PI))))>
#<alt (* x (sqrt (/ 1 (PI))))>
#<alt (* x (sqrt (/ 1 (PI))))>
#<alt (* x (sqrt (/ 1 (PI))))>
#<alt (* x (sqrt (/ 1 (PI))))>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/5 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))>
#<alt (* 1/21 (pow x 5))>
#<alt (* (pow x 5) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/21 (pow x 5))>
#<alt (* (pow x 5) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 1/21)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 1/21)))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 3))>
#<alt (* 1/5 (pow x 3))>
#<alt (* 1/5 (pow x 3))>
#<alt (* 1/5 (pow x 3))>
#<alt (* 1/5 (pow x 3))>
#<alt (* 1/5 (pow x 3))>
#<alt (* 1/5 (pow x 3))>
#<alt (* 1/5 (pow x 3))>
#<alt (* 1/5 (pow x 3))>
#<alt (* 1/5 (pow x 3))>
#<alt (* 1/5 (pow x 3))>
#<alt (* 1/5 (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 3)>
#<alt (* 1/21 (pow x 3))>
#<alt (* 1/21 (pow x 3))>
#<alt (* 1/21 (pow x 3))>
#<alt (* 1/21 (pow x 3))>
#<alt (* 1/21 (pow x 3))>
#<alt (* 1/21 (pow x 3))>
#<alt (* 1/21 (pow x 3))>
#<alt (* 1/21 (pow x 3))>
#<alt (* 1/21 (pow x 3))>
#<alt (* 1/21 (pow x 3))>
#<alt (* 1/21 (pow x 3))>
#<alt (* 1/21 (pow x 3))>

Calls

81 calls:

Time	Variable		Point	Expression
23.0ms	x	@	-inf	(fabs (* (/ (+ 2 (* x (* x (* (* x x) 1/5)))) (sqrt (PI))) x))
1.0ms	x	@	0	(* (/ (+ 2 (* x (* x (* (* x x) 1/5)))) (sqrt (PI))) x)
1.0ms	x	@	0	(* (* (* (* x (* (* x x) 1/21)) (* x (* x x))) (pow (PI) -1/2)) x)
1.0ms	x	@	inf	(* (/ (+ 2 (* x (* x (* (* x x) 1/5)))) (sqrt (PI))) x)
0.0ms	x	@	inf	(* (* (* (* x (* (* x x) 1/21)) (* x (* x x))) (pow (PI) -1/2)) x)

rewrite421.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

5158×	`-lowering-.f32`
5158×	`-lowering-.f64`
3708×	`/-lowering-/.f32`
3708×	`/-lowering-/.f64`
1580×	`frac-times`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	291
1	237	267
2	1758	243
0	8991	243

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 908

Calls

Call 1

Inputs
(fabs (* (+ 2 (* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21))))))) (/ x (sqrt (PI)))))
(* (+ 2 (* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21))))))) (/ x (sqrt (PI))))
(+ 2 (* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21)))))))
(* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21))))))
(/ (fabs (* x 2)) (sqrt (PI)))
(fabs (* x 2))
(* x 2)
(sqrt (PI))
(/ (fabs (* x (+ 2 (* 2/3 (* x x))))) (sqrt (PI)))
(fabs (* x (+ 2 (* 2/3 (* x x)))))
(* x (+ 2 (* 2/3 (* x x))))
(+ 2 (* 2/3 (* x x)))
(fabs (* (/ (+ 2 (* x (* x (* (* x x) 1/5)))) (sqrt (PI))) x))
(* (/ (+ 2 (* x (* x (* (* x x) 1/5)))) (sqrt (PI))) x)
(/ (+ 2 (* x (* x (* (* x x) 1/5)))) (sqrt (PI)))
(+ 2 (* x (* x (* (* x x) 1/5))))
(fabs (* (* (* (* x (* (* x x) 1/21)) (* x (* x x))) (pow (PI) -1/2)) x))
(* (* (* (* x (* (* x x) 1/21)) (* x (* x x))) (pow (PI) -1/2)) x)
(* (* (* x (* (* x x) 1/21)) (* x (* x x))) (pow (PI) -1/2))
(* (* x (* (* x x) 1/21)) (* x (* x x)))
(/ x (sqrt (PI)))
(* x (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21)))))
(* (* x x) 1/21)
(PI)
(* 2/3 (* x x))
(* (* x x) 1/5)
(* x (* (* x x) 1/5))
(* x (* x x))
(* x (* (* x x) 1/21))

Outputs
(fabs.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))))) (/.f64 (sqrt.f64 (PI.f64)) x)))
(fabs.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))))) (/.f64 (sqrt.f64 (PI.f64)) x))))
(fabs.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))))) (/.f64 (sqrt.f64 (PI.f64)) x)))))
(fabs.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))))) (/.f64 (sqrt.f64 (PI.f64)) x))))))
(fabs.f64 (.f64 (neg.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))) (neg.f64 (/.f64 x (sqrt.f64 (PI.f64))))))
(fabs.f64 (.f64 (neg.f64 (/.f64 x (sqrt.f64 (PI.f64)))) (neg.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))))))
(fabs.f64 (-.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))))) (/.f64 (sqrt.f64 (PI.f64)) x)) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))))
(/.f64 (fabs.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) x)))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))))) (sqrt.f64 (PI.f64)))
(/.f64 (fabs.f64 (.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))))) x)) (fabs.f64 (.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))) #s(literal 2 binary64)))) (sqrt.f64 (PI.f64)))))
(/.f64 (fabs.f64 (.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))))) #s(literal 1 binary64))) (fabs.f64 (.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (PI.f64)) x))))
(/.f64 (fabs.f64 (.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))))) (-.f64 #s(literal 0 binary64) x))) (fabs.f64 (.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))))))
(/.f64 (fabs.f64 (.f64 (-.f64 #s(literal 4 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))))))) x)) (fabs.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))) (sqrt.f64 (PI.f64)))))
(/.f64 (fabs.f64 (.f64 (-.f64 #s(literal 4 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))))))) #s(literal 1 binary64))) (fabs.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))) (/.f64 (sqrt.f64 (PI.f64)) x))))
(/.f64 (fabs.f64 (.f64 (-.f64 #s(literal 4 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))))))) (-.f64 #s(literal 0 binary64) x))) (fabs.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))))))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))))))) (fabs.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))) #s(literal 2 binary64)))))))
(/.f64 (fabs.f64 (.f64 x (-.f64 #s(literal 4 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))))))))) (fabs.f64 (.f64 (sqrt.f64 (PI.f64)) (-.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))))))
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(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 4/9 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))))) x)) (neg.f64 (-.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))) (.f64 (.f64 x (.f64 x x)) #s(literal 8/27 binary64))) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))) (-.f64 (.f64 (.f64 x #s(literal 2/3 binary64)) (.f64 x #s(literal 2/3 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))) (*.f64 x #s(literal 2/3 binary64))))))
(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))
(.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64))))) x)
(.f64 x (.f64 x #s(literal 1/21 binary64)))
(.f64 (.f64 x x) #s(literal 1/21 binary64))
(.f64 #s(literal 1/21 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/21 binary64)) x)
(PI.f64)
(log.f64 (exp.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (.f64 (.f64 (log.f64 (PI.f64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (PI.f64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/3 binary64)))
(fabs.f64 (PI.f64))
(-.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1 binary64))
(sqrt.f64 (*.f64 (PI.f64) (PI.f64)))
(cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))
(expm1.f64 (log1p.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(pow.f64 (PI.f64) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(*.f64 (PI.f64) #s(literal 1 binary64))
(*.f64 (PI.f64) (log.f64 (E.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64)))))
(*.f64 #s(literal 1 binary64) (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/3 binary64)))
(.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))))) (exp.f64 (.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64))) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)))
(.f64 (cbrt.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))))) (cbrt.f64 (PI.f64)))
(.f64 (sqrt.f64 (.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(.f64 x (.f64 x #s(literal 2/3 binary64)))
(.f64 #s(literal 2/3 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 2/3 binary64))
(.f64 (.f64 x #s(literal 2/3 binary64)) x)
(.f64 x (.f64 x #s(literal 1/5 binary64)))
(.f64 (.f64 x x) #s(literal 1/5 binary64))
(.f64 #s(literal 1/5 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/5 binary64)) x)
(.f64 x (.f64 (*.f64 x x) #s(literal 1/5 binary64)))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/5 binary64)))
(.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 (*.f64 x x) #s(literal 1/5 binary64)) x)
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/5 binary64))
(.f64 (.f64 x #s(literal 1/5 binary64)) (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/21 binary64)))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/21 binary64)))
(.f64 #s(literal 1/21 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 (*.f64 x x) #s(literal 1/21 binary64)) x)
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/21 binary64))
(.f64 (.f64 x #s(literal 1/21 binary64)) (*.f64 x x))

simplify518.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

5278×	`-lowering-.f32`
5278×	`-lowering-.f64`
1918×	`+-lowering-+.f64`
1918×	`+-lowering-+.f32`
1372×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	166	3014
1	582	2803
2	1972	2773
3	5584	2765
0	8407	2765

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

Calls

Call 1

Inputs
(fabs (* (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))) (sqrt (/ 1 (PI)))))
(* 2 (* x (sqrt (/ 1 (PI)))))
(* x (+ (* 2/3 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI))))))
(* x (+ (* 2 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 1/5 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 2/3 (sqrt (/ 1 (PI))))))))
(* x (+ (* 2 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 2/3 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 1/21 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 1/5 (sqrt (/ 1 (PI))))))))))
(* 1/21 (* (pow x 7) (sqrt (/ 1 (PI)))))
(* (pow x 7) (+ (* 1/21 (sqrt (/ 1 (PI)))) (* 1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))
(* (pow x 7) (+ (* 1/21 (sqrt (/ 1 (PI)))) (+ (* 1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* 2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))))))
(* (pow x 7) (+ (* 1/21 (sqrt (/ 1 (PI)))) (+ (* 1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* 2 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))))
(* 1/21 (* (pow x 7) (sqrt (/ 1 (PI)))))
(* -1 (* (pow x 7) (+ (* -1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/21 (sqrt (/ 1 (PI)))))))
(* -1 (* (pow x 7) (+ (* -2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* -1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/21 (sqrt (/ 1 (PI))))))))
(* -1 (* (pow x 7) (+ (* -2 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* -1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/21 (sqrt (/ 1 (PI)))))))))
2
(+ 2 (* 2/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))
(* 1/21 (pow x 6))
(* (pow x 6) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/21 (pow x 6))
(* (pow x 6) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* 1/5 (pow x 2))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))
(* 1/21 (pow x 6))
(* (pow x 6) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/21 (pow x 6))
(* (pow x 6) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (sqrt (/ 1 (PI))) (fabs (* 2 x)))
(* (sqrt (/ 1 (PI))) (fabs (* 2 x)))
(* (sqrt (/ 1 (PI))) (fabs (* 2 x)))
(* (sqrt (/ 1 (PI))) (fabs (* 2 x)))
(* (sqrt (/ 1 (PI))) (fabs (* 2 x)))
(* (sqrt (/ 1 (PI))) (fabs (* 2 x)))
(* (sqrt (/ 1 (PI))) (fabs (* 2 x)))
(* (sqrt (/ 1 (PI))) (fabs (* 2 x)))
(* (sqrt (/ 1 (PI))) (fabs (* 2 x)))
(* (sqrt (/ 1 (PI))) (fabs (* 2 x)))
(* (sqrt (/ 1 (PI))) (fabs (* 2 x)))
(* (sqrt (/ 1 (PI))) (fabs (* 2 x)))
(fabs (* 2 x))
(fabs (* 2 x))
(fabs (* 2 x))
(fabs (* 2 x))
(fabs (* 2 x))
(fabs (* 2 x))
(fabs (* 2 x))
(fabs (* 2 x))
(fabs (* 2 x))
(fabs (* 2 x))
(fabs (* 2 x))
(fabs (* 2 x))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* 2/3 (pow x 2))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* 2/3 (pow x 2))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* 2/3 (pow x 2))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* 2/3 (pow x 2))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* 2/3 (pow x 2))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* 2/3 (pow x 2))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* 2/3 (pow x 2))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* 2/3 (pow x 2))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* 2/3 (pow x 2))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* 2/3 (pow x 2))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* 2/3 (pow x 2))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* 2/3 (pow x 2))))))
(fabs (* x (+ 2 (* 2/3 (pow x 2)))))
(fabs (* x (+ 2 (* 2/3 (pow x 2)))))
(fabs (* x (+ 2 (* 2/3 (pow x 2)))))
(fabs (* x (+ 2 (* 2/3 (pow x 2)))))
(fabs (* x (+ 2 (* 2/3 (pow x 2)))))
(fabs (* x (+ 2 (* 2/3 (pow x 2)))))
(fabs (* x (+ 2 (* 2/3 (pow x 2)))))
(fabs (* x (+ 2 (* 2/3 (pow x 2)))))
(fabs (* x (+ 2 (* 2/3 (pow x 2)))))
(fabs (* x (+ 2 (* 2/3 (pow x 2)))))
(fabs (* x (+ 2 (* 2/3 (pow x 2)))))
(fabs (* x (+ 2 (* 2/3 (pow x 2)))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* 2/3 (pow x 2))))
(* 2/3 (pow x 3))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* 2/3 (pow x 3))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
2
(+ 2 (* 2/3 (pow x 2)))
(+ 2 (* 2/3 (pow x 2)))
(+ 2 (* 2/3 (pow x 2)))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(fabs (* (* x (+ 2 (* 1/5 (pow x 4)))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* 1/5 (pow x 4)))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* 1/5 (pow x 4)))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* 1/5 (pow x 4)))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* 1/5 (pow x 4)))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* 1/5 (pow x 4)))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* 1/5 (pow x 4)))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* 1/5 (pow x 4)))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* 1/5 (pow x 4)))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* 1/5 (pow x 4)))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* 1/5 (pow x 4)))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* 1/5 (pow x 4)))) (sqrt (/ 1 (PI)))))
(* 2 (* x (sqrt (/ 1 (PI)))))
(* x (+ (* 1/5 (* (pow x 4) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI))))))
(* x (+ (* 1/5 (* (pow x 4) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI))))))
(* x (+ (* 1/5 (* (pow x 4) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI))))))
(* 1/5 (* (pow x 5) (sqrt (/ 1 (PI)))))
(* (pow x 5) (+ (* 1/5 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))))))
(* (pow x 5) (+ (* 1/5 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))))))
(* (pow x 5) (+ (* 1/5 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))))))
(* 1/5 (* (pow x 5) (sqrt (/ 1 (PI)))))
(* -1 (* (pow x 5) (+ (* -2 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/5 (sqrt (/ 1 (PI)))))))
(* -1 (* (pow x 5) (+ (* -2 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/5 (sqrt (/ 1 (PI)))))))
(* -1 (* (pow x 5) (+ (* -2 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/5 (sqrt (/ 1 (PI)))))))
(* 2 (sqrt (/ 1 (PI))))
(+ (* 1/5 (* (pow x 4) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI)))))
(+ (* 1/5 (* (pow x 4) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI)))))
(+ (* 1/5 (* (pow x 4) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI)))))
(* 1/5 (* (pow x 4) (sqrt (/ 1 (PI)))))
(* (pow x 4) (+ (* 1/5 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))))))
(* (pow x 4) (+ (* 1/5 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))))))
(* (pow x 4) (+ (* 1/5 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))))))
(* 1/5 (* (pow x 4) (sqrt (/ 1 (PI)))))
(* (pow x 4) (+ (* 1/5 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))))))
(* (pow x 4) (+ (* 1/5 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))))))
(* (pow x 4) (+ (* 1/5 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))))))
2
(+ 2 (* 1/5 (pow x 4)))
(+ 2 (* 1/5 (pow x 4)))
(+ 2 (* 1/5 (pow x 4)))
(* 1/5 (pow x 4))
(* (pow x 4) (+ 1/5 (* 2 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/5 (* 2 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/5 (* 2 (/ 1 (pow x 4)))))
(* 1/5 (pow x 4))
(* (pow x 4) (+ 1/5 (* 2 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/5 (* 2 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/5 (* 2 (/ 1 (pow x 4)))))
(fabs (* 1/21 (* (pow x 7) (sqrt (/ 1 (PI))))))
(fabs (* 1/21 (* (pow x 7) (sqrt (/ 1 (PI))))))
(fabs (* 1/21 (* (pow x 7) (sqrt (/ 1 (PI))))))
(fabs (* 1/21 (* (pow x 7) (sqrt (/ 1 (PI))))))
(fabs (* 1/21 (* (pow x 7) (sqrt (/ 1 (PI))))))
(fabs (* 1/21 (* (pow x 7) (sqrt (/ 1 (PI))))))
(fabs (* 1/21 (* (pow x 7) (sqrt (/ 1 (PI))))))
(fabs (* 1/21 (* (pow x 7) (sqrt (/ 1 (PI))))))
(fabs (* 1/21 (* (pow x 7) (sqrt (/ 1 (PI))))))
(fabs (* 1/21 (* (pow x 7) (sqrt (/ 1 (PI))))))
(fabs (* 1/21 (* (pow x 7) (sqrt (/ 1 (PI))))))
(fabs (* 1/21 (* (pow x 7) (sqrt (/ 1 (PI))))))
(* 1/21 (* (pow x 7) (sqrt (/ 1 (PI)))))
(* 1/21 (* (pow x 7) (sqrt (/ 1 (PI)))))
(* 1/21 (* (pow x 7) (sqrt (/ 1 (PI)))))
(* 1/21 (* (pow x 7) (sqrt (/ 1 (PI)))))
(* 1/21 (* (pow x 7) (sqrt (/ 1 (PI)))))
(* 1/21 (* (pow x 7) (sqrt (/ 1 (PI)))))
(* 1/21 (* (pow x 7) (sqrt (/ 1 (PI)))))
(* 1/21 (* (pow x 7) (sqrt (/ 1 (PI)))))
(* 1/21 (* (pow x 7) (sqrt (/ 1 (PI)))))
(* 1/21 (* (pow x 7) (sqrt (/ 1 (PI)))))
(* 1/21 (* (pow x 7) (sqrt (/ 1 (PI)))))
(* 1/21 (* (pow x 7) (sqrt (/ 1 (PI)))))
(* 1/21 (* (pow x 6) (sqrt (/ 1 (PI)))))
(* 1/21 (* (pow x 6) (sqrt (/ 1 (PI)))))
(* 1/21 (* (pow x 6) (sqrt (/ 1 (PI)))))
(* 1/21 (* (pow x 6) (sqrt (/ 1 (PI)))))
(* 1/21 (* (pow x 6) (sqrt (/ 1 (PI)))))
(* 1/21 (* (pow x 6) (sqrt (/ 1 (PI)))))
(* 1/21 (* (pow x 6) (sqrt (/ 1 (PI)))))
(* 1/21 (* (pow x 6) (sqrt (/ 1 (PI)))))
(* 1/21 (* (pow x 6) (sqrt (/ 1 (PI)))))
(* 1/21 (* (pow x 6) (sqrt (/ 1 (PI)))))
(* 1/21 (* (pow x 6) (sqrt (/ 1 (PI)))))
(* 1/21 (* (pow x 6) (sqrt (/ 1 (PI)))))
(* 1/21 (pow x 6))
(* 1/21 (pow x 6))
(* 1/21 (pow x 6))
(* 1/21 (pow x 6))
(* 1/21 (pow x 6))
(* 1/21 (pow x 6))
(* 1/21 (pow x 6))
(* 1/21 (pow x 6))
(* 1/21 (pow x 6))
(* 1/21 (pow x 6))
(* 1/21 (pow x 6))
(* 1/21 (pow x 6))
(* x (sqrt (/ 1 (PI))))
(* x (sqrt (/ 1 (PI))))
(* x (sqrt (/ 1 (PI))))
(* x (sqrt (/ 1 (PI))))
(* x (sqrt (/ 1 (PI))))
(* x (sqrt (/ 1 (PI))))
(* x (sqrt (/ 1 (PI))))
(* x (sqrt (/ 1 (PI))))
(* x (sqrt (/ 1 (PI))))
(* x (sqrt (/ 1 (PI))))
(* x (sqrt (/ 1 (PI))))
(* x (sqrt (/ 1 (PI))))
(* 2/3 x)
(* x (+ 2/3 (* 1/5 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))
(* 1/21 (pow x 5))
(* (pow x 5) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/21 (pow x 5))
(* (pow x 5) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 1/21)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 1/21)))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 2/3 (pow x 2))
(* 2/3 (pow x 2))
(* 2/3 (pow x 2))
(* 2/3 (pow x 2))
(* 2/3 (pow x 2))
(* 2/3 (pow x 2))
(* 2/3 (pow x 2))
(* 2/3 (pow x 2))
(* 2/3 (pow x 2))
(* 2/3 (pow x 2))
(* 2/3 (pow x 2))
(* 2/3 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 3))
(* 1/5 (pow x 3))
(* 1/5 (pow x 3))
(* 1/5 (pow x 3))
(* 1/5 (pow x 3))
(* 1/5 (pow x 3))
(* 1/5 (pow x 3))
(* 1/5 (pow x 3))
(* 1/5 (pow x 3))
(* 1/5 (pow x 3))
(* 1/5 (pow x 3))
(* 1/5 (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 3)
(* 1/21 (pow x 3))
(* 1/21 (pow x 3))
(* 1/21 (pow x 3))
(* 1/21 (pow x 3))
(* 1/21 (pow x 3))
(* 1/21 (pow x 3))
(* 1/21 (pow x 3))
(* 1/21 (pow x 3))
(* 1/21 (pow x 3))
(* 1/21 (pow x 3))
(* 1/21 (pow x 3))
(* 1/21 (pow x 3))

Outputs
(fabs (* (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))) (sqrt (/ 1 (PI)))))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(fabs (* (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))) (sqrt (/ 1 (PI)))))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(fabs (* (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))) (sqrt (/ 1 (PI)))))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(fabs (* (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))) (sqrt (/ 1 (PI)))))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))) (sqrt (/ 1 (PI)))))
(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))))))))
(fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))) (sqrt (/ 1 (PI)))))
(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))))))))
(fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))) (sqrt (/ 1 (PI)))))
(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))))))))
(fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))) (sqrt (/ 1 (PI)))))
(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))))))))
(fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))) (sqrt (/ 1 (PI)))))
(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))))))))
(fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))) (sqrt (/ 1 (PI)))))
(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))))))))
(fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))) (sqrt (/ 1 (PI)))))
(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))))))))
(fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))) (sqrt (/ 1 (PI)))))
(fabs.f64 (.f64 x (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))))))))
(* 2 (* x (sqrt (/ 1 (PI)))))
(.f64 x (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(* x (+ (* 2/3 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 2/3 binary64)))))
(* x (+ (* 2 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 1/5 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 2/3 (sqrt (/ 1 (PI))))))))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))))))
(* x (+ (* 2 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 2/3 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 1/21 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 1/5 (sqrt (/ 1 (PI))))))))))
(.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(* 1/21 (* (pow x 7) (sqrt (/ 1 (PI)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))))
(* (pow x 7) (+ (* 1/21 (sqrt (/ 1 (PI)))) (* 1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64))))
(* (pow x 7) (+ (* 1/21 (sqrt (/ 1 (PI)))) (+ (* 1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* 2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1/21 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) (/.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (.f64 x x))))))))
(* (pow x 7) (+ (* 1/21 (sqrt (/ 1 (PI)))) (+ (* 1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* 2 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (.f64 x x)))))))))
(* 1/21 (* (pow x 7) (sqrt (/ 1 (PI)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 7 binary64))))
(* -1 (* (pow x 7) (+ (* -1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/21 (sqrt (/ 1 (PI)))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64))))
(* -1 (* (pow x 7) (+ (* -2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* -1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/21 (sqrt (/ 1 (PI))))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1/21 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) (/.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (.f64 x x))))))))
(* -1 (* (pow x 7) (+ (* -2 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* -1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/21 (sqrt (/ 1 (PI)))))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (.f64 x x)))))))))
2
#s(literal 2 binary64)
(+ 2 (* 2/3 (pow x 2)))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 2/3 binary64)))
(+ 2 (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))))
(+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))))))
(* 1/21 (pow x 6))
(*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))))
(* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/21 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) (/.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(+.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/21 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) (/.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (*.f64 x x))))))) #s(literal 2 binary64))
(* 1/21 (pow x 6))
(*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))))
(* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/21 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) (/.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(+.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/21 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) (/.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (*.f64 x x))))))) #s(literal 2 binary64))
(* 2/3 (pow x 2))
(.f64 (.f64 x x) #s(literal 2/3 binary64))
(* (pow x 2) (+ 2/3 (* 1/5 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))
(.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))
(.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))
(* 1/21 (pow x 6))
(*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))))
(* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/21 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) (/.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 6) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/21 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) (/.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* 1/21 (pow x 6))
(*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
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(.f64 x (.f64 (*.f64 x x) #s(literal 1/21 binary64)))
(* 1/21 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/21 binary64)))

eval263.0ms (2%)

Compiler: Compiled 51278 to 4159 computations (91.9% saved)

prune168.0ms (1.3%)

Pruning

25 alts after pruning (20 fresh and 5 done)

	Pruned	Kept	Total
New	1485	14	1499
Fresh	7	6	13
Picked	4	1	5
Done	0	4	4
Total	1496	25	1521

Accuracy

100.0%

Counts

1521 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	93.1%	(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))))) (sqrt.f64 (PI.f64)))
	97.5%	(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/21 binary64))))))))) (sqrt.f64 (PI.f64)))
	89.1%	(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x #s(literal 2/3 binary64)) x)))) (sqrt.f64 (PI.f64)))
	25.3%	(/.f64 (fabs.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 2/3 binary64)))) (sqrt.f64 (PI.f64)))
✓	69.9%	(/.f64 (fabs.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))
	69.9%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (fabs.f64 x))))
	89.1%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (*.f64 x x)))))))
✓	99.8%	(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))))))
	98.5%	(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/21 binary64))))))))))))
	93.1%	(fabs.f64 (/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/5 binary64)))))))
	98.0%	(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x (.f64 x #s(literal 1/21 binary64))) x) (.f64 x (*.f64 x x)))) (sqrt.f64 (PI.f64))) x))
✓	98.0%	(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/21 binary64))) (.f64 x (*.f64 x x)))) (sqrt.f64 (PI.f64))) x))
✓	94.4%	(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))) (sqrt.f64 (PI.f64))) x))
	98.5%	(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))) (sqrt.f64 (PI.f64))) x))
	89.6%	(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sqrt.f64 (PI.f64))) x))
	29.5%	(fabs.f64 (.f64 (/.f64 (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5 binary64)))) (sqrt.f64 (PI.f64))) x))
	29.5%	(fabs.f64 (.f64 (/.f64 (.f64 x (.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 (PI.f64))) x))
	33.8%	(fabs.f64 (.f64 (/.f64 x (sqrt.f64 (PI.f64))) (.f64 x (.f64 (.f64 x x) (.f64 #s(literal 1/21 binary64) (.f64 x (*.f64 x x)))))))
✓	70.4%	(fabs.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x))
	89.1%	(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 2/3 binary64))) (/.f64 x (sqrt.f64 (PI.f64)))))
	99.4%	(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x #s(literal 1/21 binary64)) x))))))) (/.f64 x (sqrt.f64 (PI.f64)))))
	89.1%	(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64)))) (/.f64 x (sqrt.f64 (PI.f64)))))
	33.8%	(fabs.f64 (.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 x (.f64 #s(literal 1/21 binary64) (.f64 x (.f64 x x))))) (.f64 x x)) x))
	33.8%	(fabs.f64 (.f64 (.f64 (.f64 (.f64 x x) (/.f64 x (sqrt.f64 (PI.f64)))) (.f64 #s(literal 1/21 binary64) (.f64 x (*.f64 x x)))) x))
	33.8%	(fabs.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 #s(literal 1/21 binary64) (.f64 x (*.f64 x x))) (/.f64 x (sqrt.f64 (PI.f64))))))

Compiler

Compiled 1328 to 569 computations (57.2% saved)

regimes74.0ms (0.6%)

Counts

46 → 1

Calls

Call 1

Inputs
(fabs.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x))
(/.f64 (fabs.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (PI.f64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (fabs.f64 x))))
(/.f64 (fabs.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 2/3 binary64)))) (sqrt.f64 (PI.f64)))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64)))) (/.f64 x (sqrt.f64 (PI.f64)))))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 2/3 binary64))) (/.f64 x (sqrt.f64 (PI.f64)))))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64)))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sqrt.f64 (PI.f64))) x))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (*.f64 x x))))) (sqrt.f64 (PI.f64)))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x #s(literal 2/3 binary64)) x)))) (sqrt.f64 (PI.f64)))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (.f64 x x))) (.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 2/3 binary64))))))
(fabs.f64 (.f64 (/.f64 (.f64 x (.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5 binary64)))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (*.f64 x x)))))))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5 binary64))))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/5 binary64)))))))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))))) (sqrt.f64 (PI.f64)))
(fabs.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 #s(literal 1/21 binary64) (.f64 x (*.f64 x x))) (/.f64 x (sqrt.f64 (PI.f64))))))
(fabs.f64 (.f64 (.f64 (.f64 (.f64 x x) (/.f64 x (sqrt.f64 (PI.f64)))) (.f64 #s(literal 1/21 binary64) (.f64 x (*.f64 x x)))) x))
(fabs.f64 (.f64 (/.f64 x (sqrt.f64 (PI.f64))) (.f64 x (.f64 (.f64 x x) (.f64 #s(literal 1/21 binary64) (.f64 x (*.f64 x x)))))))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64)))))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x #s(literal 1/5 binary64)) x)))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))) x)) (sqrt.f64 (PI.f64))) x))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))))) (sqrt.f64 (PI.f64)))
(fabs.f64 (.f64 (.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/21 binary64))) (.f64 x (.f64 x x))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x))
(fabs.f64 (.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 x (.f64 #s(literal 1/21 binary64) (.f64 x (.f64 x x))))) (.f64 x x)) x))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/21 binary64))) (.f64 x (*.f64 x x)))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x (.f64 x #s(literal 1/21 binary64))) x) (.f64 x (*.f64 x x)))) (sqrt.f64 (PI.f64))) x))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/21 binary64))))))))) (sqrt.f64 (PI.f64)))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))) (sqrt.f64 (PI.f64))) x))
(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/21 binary64))))))))))))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x #s(literal 1/21 binary64)) x))))))) (/.f64 x (sqrt.f64 (PI.f64)))))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))) (/.f64 x (sqrt.f64 (PI.f64)))))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))) (sqrt.f64 (PI.f64))) x))
(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))))))
(fabs.f64 (.f64 (fabs.f64 x) (.f64 (.f64 x (.f64 x #s(literal 1/21 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x (.f64 x (.f64 x x)))))))
(fabs.f64 (.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 #s(literal 1/21 binary64) (.f64 x (.f64 x (*.f64 x x))))))) (sqrt.f64 (PI.f64)))))
(fabs.f64 (.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x #s(literal 1/21 binary64)) x)))))) (sqrt.f64 (PI.f64)))))
(fabs.f64 (.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))) (sqrt.f64 (PI.f64)))))
(/.f64 (fabs.f64 (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))) (sqrt.f64 (PI.f64)))
(.f64 (fabs.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))))))) (fabs.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)))
(fabs.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (.f64 #s(literal 2 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))))

Outputs

(fabs.f64 (*.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x #s(literal 1/21 binary64)) x)))))) (sqrt.f64 (PI.f64)))))

Calls

5 calls:

15.0ms	x
15.0ms	(fabs.f64 x)
14.0ms	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (.f64 #s(literal 2 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))
13.0ms	(+.f64 (+.f64 (+.f64 (.f64 #s(literal 2 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))
13.0ms	(fabs.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (.f64 #s(literal 2 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	(fabs.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (.f64 #s(literal 2 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))))
99.9%	1	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (.f64 #s(literal 2 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))
99.9%	1	(+.f64 (+.f64 (+.f64 (.f64 #s(literal 2 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))
99.9%	1	`(fabs.f64 x)`

Compiler

Compiled 202 to 81 computations (59.9% saved)

regimes29.0ms (0.2%)

Counts

41 → 1

Calls

Call 1

Inputs
(fabs.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x))
(/.f64 (fabs.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (PI.f64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (fabs.f64 x))))
(/.f64 (fabs.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 2/3 binary64)))) (sqrt.f64 (PI.f64)))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64)))) (/.f64 x (sqrt.f64 (PI.f64)))))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 2/3 binary64))) (/.f64 x (sqrt.f64 (PI.f64)))))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64)))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sqrt.f64 (PI.f64))) x))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (*.f64 x x))))) (sqrt.f64 (PI.f64)))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x #s(literal 2/3 binary64)) x)))) (sqrt.f64 (PI.f64)))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (.f64 x x))) (.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 2/3 binary64))))))
(fabs.f64 (.f64 (/.f64 (.f64 x (.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5 binary64)))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (*.f64 x x)))))))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5 binary64))))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/5 binary64)))))))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))))) (sqrt.f64 (PI.f64)))
(fabs.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 #s(literal 1/21 binary64) (.f64 x (*.f64 x x))) (/.f64 x (sqrt.f64 (PI.f64))))))
(fabs.f64 (.f64 (.f64 (.f64 (.f64 x x) (/.f64 x (sqrt.f64 (PI.f64)))) (.f64 #s(literal 1/21 binary64) (.f64 x (*.f64 x x)))) x))
(fabs.f64 (.f64 (/.f64 x (sqrt.f64 (PI.f64))) (.f64 x (.f64 (.f64 x x) (.f64 #s(literal 1/21 binary64) (.f64 x (*.f64 x x)))))))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64)))))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x #s(literal 1/5 binary64)) x)))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))) x)) (sqrt.f64 (PI.f64))) x))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))))) (sqrt.f64 (PI.f64)))
(fabs.f64 (.f64 (.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/21 binary64))) (.f64 x (.f64 x x))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x))
(fabs.f64 (.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 x (.f64 #s(literal 1/21 binary64) (.f64 x (.f64 x x))))) (.f64 x x)) x))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/21 binary64))) (.f64 x (*.f64 x x)))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x (.f64 x #s(literal 1/21 binary64))) x) (.f64 x (*.f64 x x)))) (sqrt.f64 (PI.f64))) x))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/21 binary64))))))))) (sqrt.f64 (PI.f64)))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))) (sqrt.f64 (PI.f64))) x))
(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/21 binary64))))))))))))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x #s(literal 1/21 binary64)) x))))))) (/.f64 x (sqrt.f64 (PI.f64)))))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))) (/.f64 x (sqrt.f64 (PI.f64)))))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))) (sqrt.f64 (PI.f64))) x))
(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))))))
(fabs.f64 (.f64 (fabs.f64 x) (.f64 (.f64 x (.f64 x #s(literal 1/21 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x (.f64 x (.f64 x x)))))))
(fabs.f64 (.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 #s(literal 1/21 binary64) (.f64 x (.f64 x (*.f64 x x))))))) (sqrt.f64 (PI.f64)))))

Outputs

(fabs.f64 (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))) (sqrt.f64 (PI.f64))) x))

Calls

2 calls:

14.0ms	x
11.0ms	(fabs.f64 x)

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(fabs.f64 x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes26.0ms (0.2%)

Counts

37 → 1

Calls

Call 1

Inputs
(fabs.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x))
(/.f64 (fabs.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (PI.f64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (fabs.f64 x))))
(/.f64 (fabs.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 2/3 binary64)))) (sqrt.f64 (PI.f64)))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64)))) (/.f64 x (sqrt.f64 (PI.f64)))))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 2/3 binary64))) (/.f64 x (sqrt.f64 (PI.f64)))))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64)))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sqrt.f64 (PI.f64))) x))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (*.f64 x x))))) (sqrt.f64 (PI.f64)))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x #s(literal 2/3 binary64)) x)))) (sqrt.f64 (PI.f64)))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (.f64 x x))) (.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 2/3 binary64))))))
(fabs.f64 (.f64 (/.f64 (.f64 x (.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5 binary64)))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (*.f64 x x)))))))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5 binary64))))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/5 binary64)))))))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))))) (sqrt.f64 (PI.f64)))
(fabs.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 #s(literal 1/21 binary64) (.f64 x (*.f64 x x))) (/.f64 x (sqrt.f64 (PI.f64))))))
(fabs.f64 (.f64 (.f64 (.f64 (.f64 x x) (/.f64 x (sqrt.f64 (PI.f64)))) (.f64 #s(literal 1/21 binary64) (.f64 x (*.f64 x x)))) x))
(fabs.f64 (.f64 (/.f64 x (sqrt.f64 (PI.f64))) (.f64 x (.f64 (.f64 x x) (.f64 #s(literal 1/21 binary64) (.f64 x (*.f64 x x)))))))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64)))))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x #s(literal 1/5 binary64)) x)))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))) x)) (sqrt.f64 (PI.f64))) x))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))))) (sqrt.f64 (PI.f64)))
(fabs.f64 (.f64 (.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/21 binary64))) (.f64 x (.f64 x x))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x))
(fabs.f64 (.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 x (.f64 #s(literal 1/21 binary64) (.f64 x (.f64 x x))))) (.f64 x x)) x))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/21 binary64))) (.f64 x (*.f64 x x)))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x (.f64 x #s(literal 1/21 binary64))) x) (.f64 x (*.f64 x x)))) (sqrt.f64 (PI.f64))) x))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/21 binary64))))))))) (sqrt.f64 (PI.f64)))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))) (sqrt.f64 (PI.f64))) x))
(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/21 binary64))))))))))))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x #s(literal 1/21 binary64)) x))))))) (/.f64 x (sqrt.f64 (PI.f64)))))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))) (/.f64 x (sqrt.f64 (PI.f64)))))

Outputs

(fabs.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x #s(literal 1/21 binary64)) x))))))) (/.f64 x (sqrt.f64 (PI.f64)))))

Calls

2 calls:

12.0ms	x
10.0ms	(fabs.f64 x)

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`(fabs.f64 x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes24.0ms (0.2%)

Counts

35 → 1

Calls

Call 1

Inputs
(fabs.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x))
(/.f64 (fabs.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (PI.f64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (fabs.f64 x))))
(/.f64 (fabs.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 2/3 binary64)))) (sqrt.f64 (PI.f64)))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64)))) (/.f64 x (sqrt.f64 (PI.f64)))))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 2/3 binary64))) (/.f64 x (sqrt.f64 (PI.f64)))))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64)))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sqrt.f64 (PI.f64))) x))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (*.f64 x x))))) (sqrt.f64 (PI.f64)))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x #s(literal 2/3 binary64)) x)))) (sqrt.f64 (PI.f64)))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (.f64 x x))) (.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 2/3 binary64))))))
(fabs.f64 (.f64 (/.f64 (.f64 x (.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5 binary64)))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (*.f64 x x)))))))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5 binary64))))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/5 binary64)))))))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))))) (sqrt.f64 (PI.f64)))
(fabs.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 #s(literal 1/21 binary64) (.f64 x (*.f64 x x))) (/.f64 x (sqrt.f64 (PI.f64))))))
(fabs.f64 (.f64 (.f64 (.f64 (.f64 x x) (/.f64 x (sqrt.f64 (PI.f64)))) (.f64 #s(literal 1/21 binary64) (.f64 x (*.f64 x x)))) x))
(fabs.f64 (.f64 (/.f64 x (sqrt.f64 (PI.f64))) (.f64 x (.f64 (.f64 x x) (.f64 #s(literal 1/21 binary64) (.f64 x (*.f64 x x)))))))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64)))))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x #s(literal 1/5 binary64)) x)))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))) x)) (sqrt.f64 (PI.f64))) x))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))))) (sqrt.f64 (PI.f64)))
(fabs.f64 (.f64 (.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/21 binary64))) (.f64 x (.f64 x x))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x))
(fabs.f64 (.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 x (.f64 #s(literal 1/21 binary64) (.f64 x (.f64 x x))))) (.f64 x x)) x))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/21 binary64))) (.f64 x (*.f64 x x)))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x (.f64 x #s(literal 1/21 binary64))) x) (.f64 x (*.f64 x x)))) (sqrt.f64 (PI.f64))) x))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/21 binary64))))))))) (sqrt.f64 (PI.f64)))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))) (sqrt.f64 (PI.f64))) x))
(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/21 binary64))))))))))))

Outputs
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))) (sqrt.f64 (PI.f64))) x))

Calls

2 calls:

11.0ms	(fabs.f64 x)
10.0ms	x

Results

Accuracy	Segments	Branch
98.5%	1	`x`
98.5%	1	`(fabs.f64 x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes54.0ms (0.4%)

Counts

33 → 1

Calls

Call 1

Inputs
(fabs.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x))
(/.f64 (fabs.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (PI.f64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (fabs.f64 x))))
(/.f64 (fabs.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 2/3 binary64)))) (sqrt.f64 (PI.f64)))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64)))) (/.f64 x (sqrt.f64 (PI.f64)))))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 2/3 binary64))) (/.f64 x (sqrt.f64 (PI.f64)))))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64)))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sqrt.f64 (PI.f64))) x))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (*.f64 x x))))) (sqrt.f64 (PI.f64)))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x #s(literal 2/3 binary64)) x)))) (sqrt.f64 (PI.f64)))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (.f64 x x))) (.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 2/3 binary64))))))
(fabs.f64 (.f64 (/.f64 (.f64 x (.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5 binary64)))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (*.f64 x x)))))))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5 binary64))))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/5 binary64)))))))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))))) (sqrt.f64 (PI.f64)))
(fabs.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 #s(literal 1/21 binary64) (.f64 x (*.f64 x x))) (/.f64 x (sqrt.f64 (PI.f64))))))
(fabs.f64 (.f64 (.f64 (.f64 (.f64 x x) (/.f64 x (sqrt.f64 (PI.f64)))) (.f64 #s(literal 1/21 binary64) (.f64 x (*.f64 x x)))) x))
(fabs.f64 (.f64 (/.f64 x (sqrt.f64 (PI.f64))) (.f64 x (.f64 (.f64 x x) (.f64 #s(literal 1/21 binary64) (.f64 x (*.f64 x x)))))))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64)))))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x #s(literal 1/5 binary64)) x)))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))) x)) (sqrt.f64 (PI.f64))) x))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))))) (sqrt.f64 (PI.f64)))
(fabs.f64 (.f64 (.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/21 binary64))) (.f64 x (.f64 x x))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x))
(fabs.f64 (.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 x (.f64 #s(literal 1/21 binary64) (.f64 x (.f64 x x))))) (.f64 x x)) x))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/21 binary64))) (.f64 x (*.f64 x x)))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x (.f64 x #s(literal 1/21 binary64))) x) (.f64 x (*.f64 x x)))) (sqrt.f64 (PI.f64))) x))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/21 binary64))))))))) (sqrt.f64 (PI.f64)))

Outputs
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/21 binary64))) (.f64 x (*.f64 x x)))) (sqrt.f64 (PI.f64))) x))

Calls

2 calls:

41.0ms	(fabs.f64 x)
9.0ms	x

Results

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

Compiler

Compiled 5 to 3 computations (40% saved)

regimes20.0ms (0.1%)

Counts

30 → 2

Calls

Call 1

Inputs
(fabs.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x))
(/.f64 (fabs.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (PI.f64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (fabs.f64 x))))
(/.f64 (fabs.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 2/3 binary64)))) (sqrt.f64 (PI.f64)))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64)))) (/.f64 x (sqrt.f64 (PI.f64)))))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 2/3 binary64))) (/.f64 x (sqrt.f64 (PI.f64)))))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64)))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sqrt.f64 (PI.f64))) x))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (*.f64 x x))))) (sqrt.f64 (PI.f64)))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x #s(literal 2/3 binary64)) x)))) (sqrt.f64 (PI.f64)))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (.f64 x x))) (.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 2/3 binary64))))))
(fabs.f64 (.f64 (/.f64 (.f64 x (.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5 binary64)))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (*.f64 x x)))))))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5 binary64))))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/5 binary64)))))))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))))) (sqrt.f64 (PI.f64)))
(fabs.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 #s(literal 1/21 binary64) (.f64 x (*.f64 x x))) (/.f64 x (sqrt.f64 (PI.f64))))))
(fabs.f64 (.f64 (.f64 (.f64 (.f64 x x) (/.f64 x (sqrt.f64 (PI.f64)))) (.f64 #s(literal 1/21 binary64) (.f64 x (*.f64 x x)))) x))
(fabs.f64 (.f64 (/.f64 x (sqrt.f64 (PI.f64))) (.f64 x (.f64 (.f64 x x) (.f64 #s(literal 1/21 binary64) (.f64 x (*.f64 x x)))))))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64)))))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x #s(literal 1/5 binary64)) x)))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))) x)) (sqrt.f64 (PI.f64))) x))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))))) (sqrt.f64 (PI.f64)))
(fabs.f64 (.f64 (.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/21 binary64))) (.f64 x (.f64 x x))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x))
(fabs.f64 (.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 x (.f64 #s(literal 1/21 binary64) (.f64 x (.f64 x x))))) (.f64 x x)) x))

Outputs

(fabs.f64 (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/5 binary64)))))) (sqrt.f64 (PI.f64))) x))

(fabs.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (/.f64 x (sqrt.f64 (PI.f64)))) (*.f64 #s(literal 1/21 binary64) (*.f64 x (*.f64 x x)))) x))

Calls

2 calls:

9.0ms	(fabs.f64 x)
8.0ms	x

Results

Accuracy	Segments	Branch
98.8%	2	`x`
98.8%	2	`(fabs.f64 x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes19.0ms (0.1%)

Counts

23 → 2

Calls

Call 1

Inputs
(fabs.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x))
(/.f64 (fabs.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (PI.f64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (fabs.f64 x))))
(/.f64 (fabs.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 2/3 binary64)))) (sqrt.f64 (PI.f64)))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64)))) (/.f64 x (sqrt.f64 (PI.f64)))))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 2/3 binary64))) (/.f64 x (sqrt.f64 (PI.f64)))))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64)))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sqrt.f64 (PI.f64))) x))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (*.f64 x x))))) (sqrt.f64 (PI.f64)))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x #s(literal 2/3 binary64)) x)))) (sqrt.f64 (PI.f64)))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (.f64 x x))) (.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 2/3 binary64))))))
(fabs.f64 (.f64 (/.f64 (.f64 x (.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5 binary64)))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (*.f64 x x)))))))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5 binary64))))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/5 binary64)))))))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))))) (sqrt.f64 (PI.f64)))
(fabs.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 #s(literal 1/21 binary64) (.f64 x (*.f64 x x))) (/.f64 x (sqrt.f64 (PI.f64))))))
(fabs.f64 (.f64 (.f64 (.f64 (.f64 x x) (/.f64 x (sqrt.f64 (PI.f64)))) (.f64 #s(literal 1/21 binary64) (.f64 x (*.f64 x x)))) x))
(fabs.f64 (.f64 (/.f64 x (sqrt.f64 (PI.f64))) (.f64 x (.f64 (.f64 x x) (.f64 #s(literal 1/21 binary64) (.f64 x (*.f64 x x)))))))

Outputs

(fabs.f64 (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64)))) (sqrt.f64 (PI.f64))) x))

(fabs.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (/.f64 x (sqrt.f64 (PI.f64)))) (*.f64 #s(literal 1/21 binary64) (*.f64 x (*.f64 x x)))) x))

Calls

2 calls:

10.0ms	(fabs.f64 x)
7.0ms	x

Results

Accuracy	Segments	Branch
98.5%	2	`x`
98.5%	2	`(fabs.f64 x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes17.0ms (0.1%)

Counts

21 → 2

Calls

Call 1

Inputs
(fabs.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x))
(/.f64 (fabs.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (PI.f64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (fabs.f64 x))))
(/.f64 (fabs.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 2/3 binary64)))) (sqrt.f64 (PI.f64)))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64)))) (/.f64 x (sqrt.f64 (PI.f64)))))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 2/3 binary64))) (/.f64 x (sqrt.f64 (PI.f64)))))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64)))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sqrt.f64 (PI.f64))) x))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (*.f64 x x))))) (sqrt.f64 (PI.f64)))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x #s(literal 2/3 binary64)) x)))) (sqrt.f64 (PI.f64)))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (.f64 x x))) (.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 2/3 binary64))))))
(fabs.f64 (.f64 (/.f64 (.f64 x (.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5 binary64)))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (*.f64 x x)))))))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5 binary64))))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/5 binary64)))))))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))))) (sqrt.f64 (PI.f64)))
(fabs.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 #s(literal 1/21 binary64) (.f64 x (*.f64 x x))) (/.f64 x (sqrt.f64 (PI.f64))))))

Outputs

(fabs.f64 (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64)))) (sqrt.f64 (PI.f64))) x))

(fabs.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/21 binary64) (*.f64 x (*.f64 x x))) (/.f64 x (sqrt.f64 (PI.f64))))))

Calls

2 calls:

9.0ms	x
6.0ms	(fabs.f64 x)

Results

Accuracy	Segments	Branch
98.5%	2	`x`
98.5%	2	`(fabs.f64 x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes14.0ms (0.1%)

Counts

20 → 1

Calls

Call 1

Inputs
(fabs.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x))
(/.f64 (fabs.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (PI.f64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (fabs.f64 x))))
(/.f64 (fabs.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 2/3 binary64)))) (sqrt.f64 (PI.f64)))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64)))) (/.f64 x (sqrt.f64 (PI.f64)))))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 2/3 binary64))) (/.f64 x (sqrt.f64 (PI.f64)))))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64)))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sqrt.f64 (PI.f64))) x))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (*.f64 x x))))) (sqrt.f64 (PI.f64)))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x #s(literal 2/3 binary64)) x)))) (sqrt.f64 (PI.f64)))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (.f64 x x))) (.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 2/3 binary64))))))
(fabs.f64 (.f64 (/.f64 (.f64 x (.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5 binary64)))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (*.f64 x x)))))))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5 binary64))))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/5 binary64)))))))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))))) (sqrt.f64 (PI.f64)))

Outputs
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5 binary64))))) (sqrt.f64 (PI.f64))) x))

Calls

2 calls:

6.0ms	x
6.0ms	(fabs.f64 x)

Results

Accuracy	Segments	Branch
93.5%	1	`x`
93.5%	1	`(fabs.f64 x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes14.0ms (0.1%)

Counts

17 → 2

Calls

Call 1

Inputs
(fabs.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x))
(/.f64 (fabs.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (PI.f64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (fabs.f64 x))))
(/.f64 (fabs.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 2/3 binary64)))) (sqrt.f64 (PI.f64)))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64)))) (/.f64 x (sqrt.f64 (PI.f64)))))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 2/3 binary64))) (/.f64 x (sqrt.f64 (PI.f64)))))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64)))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sqrt.f64 (PI.f64))) x))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (*.f64 x x))))) (sqrt.f64 (PI.f64)))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x #s(literal 2/3 binary64)) x)))) (sqrt.f64 (PI.f64)))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (.f64 x x))) (.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 2/3 binary64))))))
(fabs.f64 (.f64 (/.f64 (.f64 x (.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5 binary64)))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (*.f64 x x)))))))

Outputs

(fabs.f64 (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 2/3 binary64)))) (sqrt.f64 (PI.f64))) x))

(fabs.f64 (*.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (PI.f64))) x))

Calls

2 calls:

7.0ms	x
5.0ms	(fabs.f64 x)

Results

Accuracy	Segments	Branch
94.1%	2	`x`
94.1%	2	`(fabs.f64 x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes10.0ms (0.1%)

Counts

13 → 1

Calls

Call 1

Inputs
(fabs.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x))
(/.f64 (fabs.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (PI.f64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (fabs.f64 x))))
(/.f64 (fabs.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 2/3 binary64)))) (sqrt.f64 (PI.f64)))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64)))) (/.f64 x (sqrt.f64 (PI.f64)))))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 2/3 binary64))) (/.f64 x (sqrt.f64 (PI.f64)))))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64)))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sqrt.f64 (PI.f64))) x))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (*.f64 x x))))) (sqrt.f64 (PI.f64)))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x #s(literal 2/3 binary64)) x)))) (sqrt.f64 (PI.f64)))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (.f64 x x))) (.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 2/3 binary64))))))

Outputs
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64)))) (sqrt.f64 (PI.f64))) x))

Calls

2 calls:

4.0ms	(fabs.f64 x)
4.0ms	x

Results

Accuracy	Segments	Branch
89.6%	1	`x`
89.6%	1	`(fabs.f64 x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes8.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

Inputs
(fabs.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x))
(/.f64 (fabs.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (PI.f64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (fabs.f64 x))))
(/.f64 (fabs.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 2/3 binary64)))) (sqrt.f64 (PI.f64)))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64)))) (/.f64 x (sqrt.f64 (PI.f64)))))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 2/3 binary64))) (/.f64 x (sqrt.f64 (PI.f64)))))

Outputs
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64)))) (/.f64 x (sqrt.f64 (PI.f64)))))

Calls

2 calls:

4.0ms	x
3.0ms	(fabs.f64 x)

Results

Accuracy	Segments	Branch
89.1%	1	`x`
89.1%	1	`(fabs.f64 x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes5.0ms (0%)

Counts

5 → 2

Calls

Call 1

Inputs
(fabs.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x))
(/.f64 (fabs.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (PI.f64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (fabs.f64 x))))
(/.f64 (fabs.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 2/3 binary64)))) (sqrt.f64 (PI.f64)))

Outputs
(fabs.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x))
(/.f64 (fabs.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 2/3 binary64)))) (sqrt.f64 (PI.f64)))

Calls

2 calls:

2.0ms	(fabs.f64 x)
2.0ms	x

Results

Accuracy	Segments	Branch
89.1%	2	`x`
89.1%	2	`(fabs.f64 x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes5.0ms (0%)

Accuracy

Total -0.5b remaining (-2.4%)

Threshold costs -0.5b (-2.4%)

Counts

4 → 1

Calls

Call 1

Inputs
(fabs.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x))
(/.f64 (fabs.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (PI.f64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (fabs.f64 x))))

Outputs
(fabs.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x))

Calls

2 calls:

2.0ms	(fabs.f64 x)
2.0ms	x

Results

Accuracy	Segments	Branch
70.4%	1	`x`
70.4%	1	`(fabs.f64 x)`

Compiler

Compiled 5 to 3 computations (40% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.628271080628389	220.7858879281246

Compiler

Compiled 57 to 31 computations (45.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.17944562874218045	2.628271080628389

Compiler

Compiled 57 to 31 computations (45.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.17944562874218045	2.628271080628389

Compiler

Compiled 57 to 31 computations (45.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.17944562874218045	2.628271080628389

Compiler

Compiled 57 to 31 computations (45.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.17944562874218045	2.628271080628389

Compiler

Compiled 57 to 31 computations (45.6% saved)

simplify19.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

100×	`fabs-mul_binary64`
88×	`*-commutative_binary64`
28×	`+-commutative_binary64`
20×	`fabs-div_binary64`
2×	`fabs-fabs_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	101	343
1	190	343
2	236	343
3	249	343
4	252	343

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fabs.f64 (.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x #s(literal 1/21 binary64)) x)))))) (sqrt.f64 (PI.f64)))))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x #s(literal 1/21 binary64)) x))))))) (/.f64 x (sqrt.f64 (PI.f64)))))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/21 binary64))) (.f64 x (*.f64 x x)))) (sqrt.f64 (PI.f64))) x))
(if (<=.f64 (fabs.f64 x) #s(literal 5 binary64)) (fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64)))))) (sqrt.f64 (PI.f64))) x)) (fabs.f64 (.f64 (.f64 (.f64 (.f64 x x) (/.f64 x (sqrt.f64 (PI.f64)))) (.f64 #s(literal 1/21 binary64) (.f64 x (.f64 x x)))) x)))
(if (<=.f64 (fabs.f64 x) #s(literal 3602879701896397/18014398509481984 binary64)) (fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64)))) (sqrt.f64 (PI.f64))) x)) (fabs.f64 (.f64 (.f64 (.f64 (.f64 x x) (/.f64 x (sqrt.f64 (PI.f64)))) (.f64 #s(literal 1/21 binary64) (.f64 x (.f64 x x)))) x)))
(if (<=.f64 (fabs.f64 x) #s(literal 3602879701896397/18014398509481984 binary64)) (fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64)))) (sqrt.f64 (PI.f64))) x)) (fabs.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 #s(literal 1/21 binary64) (.f64 x (.f64 x x))) (/.f64 x (sqrt.f64 (PI.f64)))))))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5 binary64))))) (sqrt.f64 (PI.f64))) x))
(if (<=.f64 (fabs.f64 x) #s(literal 3602879701896397/18014398509481984 binary64)) (fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64)))) (sqrt.f64 (PI.f64))) x)) (fabs.f64 (.f64 (/.f64 (.f64 x (.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x x)))) (sqrt.f64 (PI.f64))) x)))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64)))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64)))) (/.f64 x (sqrt.f64 (PI.f64)))))
(if (<=.f64 (fabs.f64 x) #s(literal 3602879701896397/18014398509481984 binary64)) (fabs.f64 (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x)) (/.f64 (fabs.f64 (.f64 x (.f64 (.f64 x x) #s(literal 2/3 binary64)))) (sqrt.f64 (PI.f64))))
(fabs.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x))

Outputs
(fabs.f64 (.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x #s(literal 1/21 binary64)) x)))))) (sqrt.f64 (PI.f64)))))
(fabs.f64 (.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/21 binary64)))))))) (sqrt.f64 (PI.f64)))))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 x (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))) (sqrt.f64 (PI.f64)))))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x #s(literal 1/21 binary64)) x))))))) (/.f64 x (sqrt.f64 (PI.f64)))))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/21 binary64))))))))) (/.f64 x (sqrt.f64 (PI.f64)))))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 x (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))) (sqrt.f64 (PI.f64)))))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/21 binary64))) (.f64 x (*.f64 x x)))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 x (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/21 binary64))) (.f64 x (*.f64 x x)))) (sqrt.f64 (PI.f64)))))
(if (<=.f64 (fabs.f64 x) #s(literal 5 binary64)) (fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64)))))) (sqrt.f64 (PI.f64))) x)) (fabs.f64 (.f64 (.f64 (.f64 (.f64 x x) (/.f64 x (sqrt.f64 (PI.f64)))) (.f64 #s(literal 1/21 binary64) (.f64 x (.f64 x x)))) x)))
(if (<=.f64 (fabs.f64 x) #s(literal 5 binary64)) (fabs.f64 (.f64 x (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64)))))) (sqrt.f64 (PI.f64))))) (fabs.f64 (.f64 x (.f64 (.f64 (.f64 x x) (/.f64 x (sqrt.f64 (PI.f64)))) (.f64 #s(literal 1/21 binary64) (.f64 x (.f64 x x)))))))
(if (<=.f64 (fabs.f64 x) #s(literal 3602879701896397/18014398509481984 binary64)) (fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64)))) (sqrt.f64 (PI.f64))) x)) (fabs.f64 (.f64 (.f64 (.f64 (.f64 x x) (/.f64 x (sqrt.f64 (PI.f64)))) (.f64 #s(literal 1/21 binary64) (.f64 x (.f64 x x)))) x)))
(if (<=.f64 (fabs.f64 x) #s(literal 3602879701896397/18014398509481984 binary64)) (fabs.f64 (.f64 x (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64)))) (sqrt.f64 (PI.f64))))) (fabs.f64 (.f64 x (.f64 (.f64 (.f64 x x) (/.f64 x (sqrt.f64 (PI.f64)))) (.f64 #s(literal 1/21 binary64) (.f64 x (.f64 x x)))))))
(if (<=.f64 (fabs.f64 x) #s(literal 3602879701896397/18014398509481984 binary64)) (fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64)))) (sqrt.f64 (PI.f64))) x)) (fabs.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 #s(literal 1/21 binary64) (.f64 x (.f64 x x))) (/.f64 x (sqrt.f64 (PI.f64)))))))
(if (<=.f64 (fabs.f64 x) #s(literal 3602879701896397/18014398509481984 binary64)) (fabs.f64 (.f64 x (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64)))) (sqrt.f64 (PI.f64))))) (fabs.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (/.f64 x (sqrt.f64 (PI.f64))) (.f64 #s(literal 1/21 binary64) (.f64 x (.f64 x x)))))))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5 binary64))))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 x (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5 binary64))))) (sqrt.f64 (PI.f64)))))
(if (<=.f64 (fabs.f64 x) #s(literal 3602879701896397/18014398509481984 binary64)) (fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64)))) (sqrt.f64 (PI.f64))) x)) (fabs.f64 (.f64 (/.f64 (.f64 x (.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x x)))) (sqrt.f64 (PI.f64))) x)))
(if (<=.f64 (fabs.f64 x) #s(literal 3602879701896397/18014398509481984 binary64)) (fabs.f64 (.f64 x (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64)))) (sqrt.f64 (PI.f64))))) (fabs.f64 (.f64 x (/.f64 (.f64 x (.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x x)))) (sqrt.f64 (PI.f64))))))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64)))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 x (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64)))) (sqrt.f64 (PI.f64)))))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64)))) (/.f64 x (sqrt.f64 (PI.f64)))))
(fabs.f64 (.f64 (/.f64 x (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64))))))
(if (<=.f64 (fabs.f64 x) #s(literal 3602879701896397/18014398509481984 binary64)) (fabs.f64 (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x)) (/.f64 (fabs.f64 (.f64 x (.f64 (.f64 x x) #s(literal 2/3 binary64)))) (sqrt.f64 (PI.f64))))
(if (<=.f64 (fabs.f64 x) #s(literal 3602879701896397/18014398509481984 binary64)) (fabs.f64 (.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))) (/.f64 (fabs.f64 (.f64 x (.f64 (.f64 x x) #s(literal 2/3 binary64)))) (sqrt.f64 (PI.f64))))
(fabs.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))))

soundness3.3s (25%)

Rules

5278×	`-lowering-.f32`
5278×	`-lowering-.f64`
5234×	`-lowering-.f32`
5234×	`-lowering-.f64`
5158×	`-lowering-.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	291
1	237	267
2	1758	243
0	8991	243
0	137	2492
1	456	2377
2	1562	2314
3	4538	2268
4	7385	2252
0	8230	2252
0	45	313
1	280	281
2	2209	265
0	9628	265
0	216	4527
1	763	4181
2	2690	3991
3	5653	3925
0	8306	3925
0	49	428
1	310	367
2	1880	340
0	8204	340
0	167	3403
1	591	3116
2	1913	3050
3	4772	3048
0	8439	3048
0	31	45
1	77	38
2	260	26
3	1279	24
4	2627	24
5	4625	24
6	5711	24
7	5984	24
8	6012	24
9	6014	24
10	6014	24
11	7707	24
12	7850	24
13	7951	24
0	8031	24
0	41	253
1	238	203
2	2233	192
0	8258	192
0	166	3014
1	582	2803
2	1972	2773
3	5584	2765
0	8407	2765

Stop Event

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

Compiler

Compiled 810 to 440 computations (45.7% saved)

preprocess106.0ms (0.8%)

Remove: (abs x)
Compiler: Compiled 1364 to 638 computations (53.2% saved)

analyze0.0ms (0%)

sample2.0s (14.9%)

preprocess351.0ms (2.6%)

explain312.0ms (2.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify237.0ms (1.8%)

localize209.0ms (1.6%)

series37.0ms (0.3%)

rewrite471.0ms (3.5%)

simplify236.0ms (1.8%)

eval251.0ms (1.9%)

prune125.0ms (0.9%)

simplify223.0ms (1.7%)

localize301.0ms (2.3%)

series25.0ms (0.2%)

rewrite418.0ms (3.1%)

simplify295.0ms (2.2%)

eval232.0ms (1.7%)

prune198.0ms (1.5%)

simplify122.0ms (0.9%)

localize269.0ms (2%)

series24.0ms (0.2%)

rewrite439.0ms (3.3%)

simplify472.0ms (3.5%)

eval201.0ms (1.5%)

prune168.0ms (1.3%)

simplify336.0ms (2.5%)

localize200.0ms (1.5%)

series36.0ms (0.3%)

rewrite421.0ms (3.2%)

simplify518.0ms (3.9%)

eval263.0ms (2%)

prune168.0ms (1.3%)

regimes74.0ms (0.6%)

regimes29.0ms (0.2%)

regimes26.0ms (0.2%)

regimes24.0ms (0.2%)

regimes54.0ms (0.4%)

regimes20.0ms (0.1%)

regimes19.0ms (0.1%)

regimes17.0ms (0.1%)

regimes14.0ms (0.1%)

regimes14.0ms (0.1%)

regimes10.0ms (0.1%)

regimes8.0ms (0.1%)

regimes5.0ms (0%)

regimes5.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify19.0ms (0.1%)

soundness3.3s (25%)

preprocess106.0ms (0.8%)

end0.0ms (0%)

Profiling