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)

sample2.3s (17.6%)

Results

1.9s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.6s

ival-mult: 664.0ms (40.8% of total)

ival-fabs: 325.0ms (20% of total)

ival-div: 316.0ms (19.4% of total)

ival-add: 136.0ms (8.4% of total)

ival-sqrt: 69.0ms (4.2% of total)

ival-<=: 45.0ms (2.8% of total)

ival-pi: 41.0ms (2.5% of total)

const: 29.0ms (1.8% of total)

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

Bogosity

preprocess299.0ms (2.3%)

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)

explain276.0ms (2.1%)

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

131.0ms

512×

valid

Compiler

Compiled 880 to 86 computations (90.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

ival-mult: 36.0ms (44.5% of total)

ival-div: 24.0ms (29.7% of total)

ival-add: 7.0ms (8.7% of total)

ival-fabs: 6.0ms (7.4% of total)

ival-sqrt: 4.0ms (4.9% of total)

ival-pi: 2.0ms (2.5% of total)

const: 2.0ms (2.5% 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))))))
▶	99.8%	(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))))))

▶

99.8%

(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)

simplify290.0ms (2.2%)

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)))

localize193.0ms (1.5%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.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)))
✓	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 #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	99.7%	(.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

125.0ms

256×

valid

Compiler

Compiled 564 to 42 computations (92.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-mult: 28.0ms (39.2% of total)

ival-add: 14.0ms (19.6% of total)

ival-div: 11.0ms (15.4% of total)

...c/correct-round.rkt:119:19: 10.0ms (14% of total)

ival-fabs: 5.0ms (7% 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)

series23.0ms (0.2%)

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 (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (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 (* 1/5 (pow (fabs x) 5))>
#<alt (* 1/5 (pow (fabs x) 5))>
#<alt (* 1/5 (pow (fabs x) 5))>
#<alt (* 1/5 (pow (fabs x) 5))>
#<alt (* 1/5 (pow (fabs x) 5))>
#<alt (* 1/5 (pow (fabs x) 5))>
#<alt (* 1/5 (pow (fabs x) 5))>
#<alt (* 1/5 (pow (fabs x) 5))>
#<alt (* 1/5 (pow (fabs x) 5))>
#<alt (* 1/5 (pow (fabs x) 5))>
#<alt (* 1/5 (pow (fabs x) 5))>
#<alt (* 1/5 (pow (fabs x) 5))>

Calls

39 calls:

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

rewrite452.0ms (3.4%)

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	259
1	238	205
2	2233	194
0	8258	194

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 579

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

simplify208.0ms (1.6%)

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	2516
1	456	2401
2	1562	2338
3	4538	2292
4	7385	2276
0	8230	2276

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))
(* 1/5 (pow (fabs x) 5))
(* 1/5 (pow (fabs x) 5))
(* 1/5 (pow (fabs x) 5))
(* 1/5 (pow (fabs x) 5))
(* 1/5 (pow (fabs x) 5))
(* 1/5 (pow (fabs x) 5))
(* 1/5 (pow (fabs x) 5))
(* 1/5 (pow (fabs x) 5))
(* 1/5 (pow (fabs x) 5))
(* 1/5 (pow (fabs x) 5))
(* 1/5 (pow (fabs x) 5))
(* 1/5 (pow (fabs x) 5))

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

eval225.0ms (1.7%)

Compiler: Compiled 82504 to 3934 computations (95.2% saved)

prune169.0ms (1.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	1120	9	1129
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	1122	9	1131

Accuracy

100.0%

Counts

1131 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(/.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)))))))))))
	99.3%	(fabs.f64 (/.f64 (+.f64 (.f64 (+.f64 (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 2/3 binary64)))) (.f64 (pow.f64 (.f64 x x) #s(literal 3/2 binary64)) (.f64 (.f64 x x) #s(literal 1/5 binary64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))) (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 #s(literal 1/21 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (pow.f64 (.f64 x x) #s(literal 3/2 binary64))))) #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))))))
▶	99.8%	(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))
▶	99.8%	(fabs.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.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)))))))))
▶	99.8%	(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)))))
	98.6%	(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)))))
▶	99.8%	(fabs.f64 (.f64 (fabs.f64 x) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.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)))))))))))
▶	34.0%	(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)))))))
	89.7%	(fabs.f64 (.f64 (fabs.f64 x) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64)))))))

Compiler

Compiled 532 to 356 computations (33.1% saved)

simplify278.0ms (2.1%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.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	(fabs.f64 x)
✓	cost-diff	0	(.f64 (fabs.f64 x) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.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	(fabs.f64 (.f64 (fabs.f64 x) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.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 (.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)))))
✓	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 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
✓	cost-diff	6784	(+.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)))))))
✓	cost-diff	6912	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.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))))))))
✓	cost-diff	6912	(fabs.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.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)))))))))

Rules

4440×	`+-lowering-+.f64`
4440×	`+-lowering-+.f32`
4044×	`-lowering-.f32`
4044×	`-lowering-.f64`
3986×	`sum3-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	58	765
1	192	681
2	628	675
3	2230	668
4	4247	658
5	7218	658
6	7640	658
7	7857	658
8	7962	658
9	7968	658
10	7968	658
0	9147	658

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize398.0ms (3%)

Localize:

Found 20 expressions of interest:

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

Results

249.0ms

256×

valid

Compiler

Compiled 813 to 59 computations (92.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 166.0ms

ival-pow: 74.0ms (44.6% of total)

ival-mult: 49.0ms (29.5% of total)

...c/correct-round.rkt:119:19: 11.0ms (6.6% of total)

ival-add: 10.0ms (6% of total)

ival-fabs: 9.0ms (5.4% of total)

ival-div: 7.0ms (4.2% of total)

ival-sqrt: 4.0ms (2.4% of total)

ival-pi: 1.0ms (0.6% of total)

const: 1.0ms (0.6% of total)

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

series25.0ms (0.2%)

Counts

30 → 336

Calls

Call 1

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

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

Calls

84 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(* (/ 1 (sqrt (PI))) (+ (* 1/5 (* (* x (* x (* x x))) (fabs x))) (+ (* 1/21 (pow (fabs x) 7)) (* (fabs x) (+ 2 (* x (* x 2/3)))))))
3.0ms	x	@	-inf	(* (fabs x) (* (pow (PI) -1/2) (+ 2 (* (* x x) (+ 2/3 (* x (* x (+ 1/5 (* (* x x) 1/21)))))))))
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))))))
1.0ms	x	@	inf	(* (fabs x) (* (* x (* x 1/21)) (* (sqrt (/ 1 (PI))) (* x (* x (* x x))))))

rewrite380.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3228×	`fma-lowering-fma.f32`
3228×	`fma-lowering-fma.f64`
3190×	`-lowering-.f32`
3190×	`-lowering-.f64`
1986×	`prod-diff`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	58	463
1	380	411
2	2717	411
0	8131	411

Stop Event

1×	iter limit
1×	node limit

Counts

30 → 644

Calls

Call 1

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

Outputs
(fabs.f64 (/.f64 (+.f64 (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fabs.f64 x) #s(literal 1/5 binary64))) (*.f64 #s(literal 1/21 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))))) (sqrt.f64 (PI.f64))))
(fabs.f64 (/.f64 (+.f64 (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fabs.f64 x) #s(literal 1/5 binary64))) (*.f64 #s(literal 1/21 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))))
(fabs.f64 (neg.f64 (/.f64 (+.f64 (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fabs.f64 x) #s(literal 1/5 binary64))) (*.f64 #s(literal 1/21 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))))))
(/.f64 (fabs.f64 (+.f64 (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fabs.f64 x) #s(literal 1/5 binary64))) (*.f64 #s(literal 1/21 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))))) (sqrt.f64 (PI.f64)))
(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (+.f64 (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fabs.f64 x) #s(literal 1/5 binary64))) (.f64 #s(literal 1/21 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))))))
(.f64 (fabs.f64 (+.f64 (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fabs.f64 x) #s(literal 1/5 binary64))) (.f64 #s(literal 1/21 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(+.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fabs.f64 x) #s(literal 1/5 binary64))) (sqrt.f64 (PI.f64))) (/.f64 (+.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)))))) (sqrt.f64 (PI.f64))))
(+.f64 (/.f64 (+.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)))))) (sqrt.f64 (PI.f64))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 (fabs.f64 x) #s(literal 1/5 binary64))) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fabs.f64 x) #s(literal 1/5 binary64))) (.f64 #s(literal 1/21 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))))) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64)))))))
(+.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fabs.f64 x) #s(literal 1/5 binary64))) (.f64 #s(literal 1/21 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (.f64 (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64))))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fabs.f64 x) #s(literal 1/5 binary64))) (sqrt.f64 (PI.f64))) (/.f64 (+.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)))))) (sqrt.f64 (PI.f64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (+.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)))))) (sqrt.f64 (PI.f64))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 (fabs.f64 x) #s(literal 1/5 binary64))) (sqrt.f64 (PI.f64))))
(fma.f64 #s(literal 1/5 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (fabs.f64 x))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (/.f64 (+.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)))))) (sqrt.f64 (PI.f64))))
(fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (fabs.f64 x))) (.f64 #s(literal 1/5 binary64) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (/.f64 (+.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)))))) (sqrt.f64 (PI.f64))))
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(*.f64 x #s(literal 1/21 binary64))
(*.f64 #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)
(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 (.f64 x (.f64 x #s(literal 2/3 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64))))))
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(fma.f64 x (.f64 x #s(literal 2/3 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/21 binary64))))))
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(fma.f64 (.f64 x x) #s(literal 2/3 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/21 binary64))))))
(fma.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64)))))) (.f64 x (*.f64 x #s(literal 2/3 binary64))))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64))))) (.f64 x (*.f64 x #s(literal 2/3 binary64))))
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(fma.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/21 binary64))) (.f64 #s(literal 1/5 binary64) (*.f64 x x)))
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(fma.f64 (.f64 x (.f64 x #s(literal 1/21 binary64))) (.f64 x x) (.f64 #s(literal 1/5 binary64) (*.f64 x x)))
(fma.f64 (.f64 x #s(literal 1/21 binary64)) (.f64 x (.f64 x x)) (.f64 #s(literal 1/5 binary64) (*.f64 x x)))
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(.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64)))) (.f64 x x))
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(fma.f64 #s(literal 1/5 binary64) (.f64 x x) (.f64 x (.f64 (.f64 x x) (*.f64 x #s(literal 1/21 binary64)))))
(fma.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/21 binary64))) (.f64 #s(literal 1/5 binary64) (*.f64 x x)))
(fma.f64 x (.f64 #s(literal 1/5 binary64) x) (.f64 x (.f64 (.f64 x x) (*.f64 x #s(literal 1/21 binary64)))))
(fma.f64 (.f64 x x) #s(literal 1/5 binary64) (.f64 x (.f64 (.f64 x x) (*.f64 x #s(literal 1/21 binary64)))))
(fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/21 binary64))) (.f64 #s(literal 1/5 binary64) (*.f64 x x)))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/21 binary64)) (.f64 #s(literal 1/5 binary64) (*.f64 x x)))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/21 binary64) (.f64 #s(literal 1/5 binary64) (*.f64 x x)))
(fma.f64 #s(literal 1/21 binary64) (.f64 x (.f64 x (.f64 x x))) (.f64 #s(literal 1/5 binary64) (*.f64 x x)))
(fma.f64 (.f64 x (.f64 x #s(literal 1/21 binary64))) (.f64 x x) (.f64 #s(literal 1/5 binary64) (*.f64 x x)))
(fma.f64 (.f64 x #s(literal 1/21 binary64)) (.f64 x (.f64 x x)) (.f64 #s(literal 1/5 binary64) (*.f64 x x)))
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(.f64 (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64))))) x)

simplify336.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

4192×	`-lowering-.f32`
4192×	`-lowering-.f64`
3352×	`+-lowering-+.f64`
3352×	`+-lowering-+.f32`
1160×	`sum4-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	218	5104
1	783	4771
2	2796	4497
3	6135	4493
0	8214	4493

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

Calls

Call 1

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

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

eval173.0ms (1.3%)

Compiler: Compiled 45363 to 3044 computations (93.3% saved)

prune133.0ms (1%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	1301	14	1315
Fresh	4	0	4
Picked	5	0	5
Done	0	0	0
Total	1310	14	1324

Accuracy

100.0%

Counts

1324 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(/.f64 (fabs.f64 (.f64 x (+.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 x (*.f64 x #s(literal 1/21 binary64)))))))))))) (sqrt.f64 (PI.f64)))
▶	99.4%	(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 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64)))))))))))))
	99.8%	(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (+.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 x x))) (sqrt.f64 (PI.f64))) x))
	99.8%	(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64)))) (*.f64 x x))))) (sqrt.f64 (PI.f64))) x))
	92.1%	(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))
▶	98.9%	(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 #s(literal 1/21 binary64) (.f64 x (*.f64 x x))))))) (sqrt.f64 (PI.f64))) x))
▶	92.1%	(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 #s(literal 1/5 binary64) (*.f64 x x))))) (sqrt.f64 (PI.f64))) x))
	98.9%	(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 #s(literal 1/21 binary64) (.f64 (.f64 x x) (*.f64 x x)))))) (sqrt.f64 (PI.f64))) x))
	89.7%	(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64))) x))
▶	70.5%	(fabs.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x))
	99.8%	(fabs.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.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 x (.f64 x #s(literal 1/21 binary64))))))))))) x))
	89.7%	(fabs.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (.f64 x x)))) x))
▶	99.8%	(fabs.f64 (.f64 (.f64 x (+.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 x (.f64 x #s(literal 1/21 binary64))))))))))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
	85.0%	(fabs.f64 (.f64 (fabs.f64 x) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (/.f64 (.f64 (-.f64 #s(literal 1/25 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/441 binary64))) x) (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal -1/21 binary64) (.f64 x x)))))))))))

Compiler

Compiled 648 to 466 computations (28.1% saved)

simplify179.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

3004×	`+-lowering-+.f64`
3004×	`+-lowering-+.f32`
2846×	`-lowering-.f32`
2846×	`-lowering-.f64`
1974×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	601
1	130	539
2	383	525
3	856	525
4	1753	525
5	3876	525
6	6192	525
0	8082	525

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize332.0ms (2.5%)

Localize:

Found 20 expressions of interest:

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

Results

174.0ms

256×

valid

Compiler

Compiled 621 to 45 computations (92.8% saved)

Precisions

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

ival-mult: 30.0ms (39.8% of total)

...c/correct-round.rkt:119:19: 11.0ms (14.6% of total)

ival-add: 9.0ms (11.9% of total)

ival-div: 8.0ms (10.6% of total)

ival-fabs: 7.0ms (9.3% of total)

ival-pow: 7.0ms (9.3% of total)

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

ival-pi: 1.0ms (1.3% of total)

const: 1.0ms (1.3% of total)

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

series16.0ms (0.1%)

Counts

28 → 300

Calls

Call 1

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

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

75 calls:

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

rewrite465.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3966×	`-lowering-.f32`
3966×	`-lowering-.f64`
3094×	`/-lowering-/.f32`
3094×	`/-lowering-/.f64`
2176×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	396
1	280	349
2	2300	339
0	9598	339

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 893

Calls

Call 1

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

Outputs
(fabs.f64 (/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x x))) (.f64 x x))))))
(fabs.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x x))) (.f64 x x))))))
(fabs.f64 (.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (neg.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x x))) (.f64 x x)))))))
(fabs.f64 (.f64 (neg.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x x))) (.f64 x x))))) (neg.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
(fabs.f64 (-.f64 (/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x x))) (.f64 x x))))) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x x))) (.f64 x x)))) x)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (/.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x x))) (.f64 x x)))) x) #s(literal 1 binary64))))
(/.f64 (fabs.f64 x) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x x))) (.f64 x x))))))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x))))) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 (/.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x x))) (.f64 x x)))) x))))
(/.f64 (fabs.f64 (/.f64 x (sqrt.f64 (PI.f64)))) (fabs.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x x))) (.f64 x x))))))
(/.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x x))) (.f64 x x)))))))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 8 binary64) (.f64 (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x x))) (.f64 x x)) (.f64 (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x x))))))))) (fabs.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 4 binary64) (.f64 (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x x))) (.f64 x x)) (-.f64 (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x)) #s(literal 2 binary64)))))))
(/.f64 (fabs.f64 (.f64 x (-.f64 #s(literal 4 binary64) (.f64 (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x x)))))))) (fabs.f64 (.f64 (sqrt.f64 (PI.f64)) (-.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x))))))
(/.f64 (fabs.f64 (.f64 x #s(literal 1 binary64))) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x))))))
(/.f64 (fabs.f64 (.f64 (/.f64 x (sqrt.f64 (PI.f64))) (+.f64 #s(literal 8 binary64) (.f64 (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x x))) (.f64 x x)) (.f64 (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x x))))))))) (fabs.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x x))) (.f64 x x)) (-.f64 (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x x))) (.f64 x x)) #s(literal 2 binary64))))))
(/.f64 (fabs.f64 (.f64 (/.f64 x (sqrt.f64 (PI.f64))) (-.f64 #s(literal 4 binary64) (.f64 (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x x)))))))) (fabs.f64 (-.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x x))) (.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x x))) (.f64 x x))))))))
(pow.f64 (fabs.f64 (/.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x x))) (.f64 x x)))) x)) #s(literal -1 binary64))
(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x x))) (.f64 x x))))))
(.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x)))))))
(.f64 (fabs.f64 x) (fabs.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x))) (sqrt.f64 (PI.f64)))))
(.f64 (fabs.f64 x) (fabs.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x)))))))
(.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x x))) (.f64 x x))))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (fabs.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x)))))))
(.f64 (fabs.f64 (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x)))) (fabs.f64 (/.f64 x (sqrt.f64 (PI.f64)))))
(.f64 (fabs.f64 (/.f64 x (sqrt.f64 (PI.f64)))) (fabs.f64 (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x)))))
(.f64 (fabs.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x))) (sqrt.f64 (PI.f64)))) (fabs.f64 x))
(.f64 (fabs.f64 (.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x)))) (pow.f64 (PI.f64) #s(literal -1/4 binary64)))) (pow.f64 (PI.f64) #s(literal -1/4 binary64)))
(.f64 (fabs.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)) (fabs.f64 (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x x))) (.f64 x x)))))
(.f64 (fabs.f64 (/.f64 x #s(literal 1 binary64))) (fabs.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x))) (sqrt.f64 (PI.f64)))))
(.f64 (fabs.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))))) (fabs.f64 (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x)))))
(+.f64 (/.f64 x (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (.f64 (/.f64 x (sqrt.f64 (PI.f64))) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x))))
(+.f64 (/.f64 x (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (.f64 (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x)) (/.f64 x (sqrt.f64 (PI.f64)))))
(+.f64 (/.f64 x (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x x)))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(+.f64 (.f64 (/.f64 x (sqrt.f64 (PI.f64))) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x))) (/.f64 x (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))))
(+.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 x #s(literal 2 binary64))) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x x))))))
(+.f64 (.f64 (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x)) (/.f64 x (sqrt.f64 (PI.f64)))) (/.f64 x (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x)))) x)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x x))) (.f64 x x))))) (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x x))) (.f64 x x))))))
(fma.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (.f64 (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x)) (/.f64 x (sqrt.f64 (PI.f64)))))
(fma.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x x)))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (PI.f64))) (.f64 (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x)) (/.f64 x (sqrt.f64 (PI.f64)))))
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(/.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)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/9261 binary64))))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)))) (+.f64 (.f64 (.f64 x (.f64 x #s(literal 2/3 binary64))) (.f64 x (.f64 x #s(literal 2/3 binary64)))) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 #s(literal 1/21 binary64) (.f64 x x))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 #s(literal 1/21 binary64) (.f64 x x)))))) (.f64 (.f64 x (.f64 x #s(literal 2/3 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 #s(literal 1/21 binary64) (*.f64 x x)))))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x #s(literal 2/3 binary64))) (.f64 x (.f64 x #s(literal 2/3 binary64)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 #s(literal 1/21 binary64) (.f64 x x))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 #s(literal 1/21 binary64) (.f64 x x))))))) (-.f64 (.f64 x (.f64 x #s(literal 2/3 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 #s(literal 1/21 binary64) (.f64 x x)))))))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 8/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/9261 binary64))))))) (+.f64 #s(literal 4/9 binary64) (.f64 (.f64 x (.f64 x (.f64 #s(literal 1/21 binary64) (.f64 x x)))) (-.f64 (.f64 x (.f64 x (.f64 #s(literal 1/21 binary64) (*.f64 x x)))) #s(literal 2/3 binary64)))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 4/9 binary64) (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/441 binary64)) (.f64 (.f64 x (.f64 x x)) x)))) (-.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (.f64 #s(literal 1/21 binary64) (.f64 x x))))))
(/.f64 (.f64 (+.f64 #s(literal 8/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/9261 binary64)))))) (.f64 x x)) (+.f64 #s(literal 4/9 binary64) (.f64 (.f64 x (.f64 x (.f64 #s(literal 1/21 binary64) (.f64 x x)))) (-.f64 (.f64 x (.f64 x (.f64 #s(literal 1/21 binary64) (*.f64 x x)))) #s(literal 2/3 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 4/9 binary64) (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/441 binary64)) (.f64 (.f64 x (.f64 x x)) x))) (.f64 x x)) (-.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (.f64 #s(literal 1/21 binary64) (.f64 x x))))))
(/.f64 (neg.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)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/9261 binary64))))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x))))) (neg.f64 (+.f64 (.f64 (.f64 x (.f64 x #s(literal 2/3 binary64))) (.f64 x (.f64 x #s(literal 2/3 binary64)))) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 #s(literal 1/21 binary64) (.f64 x x))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 #s(literal 1/21 binary64) (.f64 x x)))))) (.f64 (.f64 x (.f64 x #s(literal 2/3 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 #s(literal 1/21 binary64) (*.f64 x x))))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x (.f64 x #s(literal 2/3 binary64))) (.f64 x (.f64 x #s(literal 2/3 binary64)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 #s(literal 1/21 binary64) (.f64 x x))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 #s(literal 1/21 binary64) (.f64 x x)))))))) (neg.f64 (-.f64 (.f64 x (.f64 x #s(literal 2/3 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 #s(literal 1/21 binary64) (.f64 x x))))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (+.f64 #s(literal 8/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/9261 binary64)))))))) (neg.f64 (+.f64 #s(literal 4/9 binary64) (.f64 (.f64 x (.f64 x (.f64 #s(literal 1/21 binary64) (.f64 x x)))) (-.f64 (.f64 x (.f64 x (.f64 #s(literal 1/21 binary64) (*.f64 x x)))) #s(literal 2/3 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 #s(literal 4/9 binary64) (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/441 binary64)) (.f64 (.f64 x (.f64 x x)) x))))) (neg.f64 (-.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (.f64 #s(literal 1/21 binary64) (.f64 x x)))))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 8/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/9261 binary64)))))) (.f64 x x))) (neg.f64 (+.f64 #s(literal 4/9 binary64) (.f64 (.f64 x (.f64 x (.f64 #s(literal 1/21 binary64) (.f64 x x)))) (-.f64 (.f64 x (.f64 x (.f64 #s(literal 1/21 binary64) (*.f64 x x)))) #s(literal 2/3 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 4/9 binary64) (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/441 binary64)) (.f64 (.f64 x (.f64 x x)) x))) (.f64 x x))) (neg.f64 (-.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (.f64 #s(literal 1/21 binary64) (.f64 x x)))))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/9261 binary64))))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/27 binary64)))) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 #s(literal 1/21 binary64) (.f64 x x))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 #s(literal 1/21 binary64) (.f64 x x)))))) (-.f64 (.f64 (.f64 x (.f64 x #s(literal 2/3 binary64))) (.f64 x (.f64 x #s(literal 2/3 binary64)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 #s(literal 1/21 binary64) (.f64 x x))))) (.f64 x (*.f64 x #s(literal 2/3 binary64)))))))
(.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (.f64 #s(literal 1/21 binary64) (.f64 x x)))))))
(.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (.f64 #s(literal 1/21 binary64) (.f64 x x))))))
(.f64 (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (.f64 #s(literal 1/21 binary64) (.f64 x x))))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (.f64 #s(literal 1/21 binary64) (.f64 x x)))))) x)
(.f64 x (.f64 #s(literal 1/21 binary64) (*.f64 x x)))
(.f64 #s(literal 1/21 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x #s(literal 1/21 binary64)) (*.f64 x x))
(.f64 (.f64 #s(literal 1/21 binary64) (*.f64 x x)) x)
(.f64 (.f64 x x) (*.f64 x #s(literal 1/21 binary64)))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/21 binary64))

simplify335.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

4040×	`-lowering-.f32`
4040×	`-lowering-.f64`
3518×	`+-lowering-+.f64`
3518×	`+-lowering-+.f32`
1854×	`fnmadd-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	264	4310
1	961	3934
2	3347	3776
3	7124	3768
0	8765	3768

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

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 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))
(* 1/21 (pow x 7))
(* (pow x 7) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/21 (+ (/ 2/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/21 (pow x 7))
(* (pow x 7) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 1/21)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))))
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 (* 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 (* (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 (* (pow x 2) (+ 2/3 (* 1/21 (pow x 4)))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/21 (pow x 4)))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/21 (pow x 4)))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/21 (pow x 4)))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (* 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) (+ (* 1/21 (* (pow x 4) (sqrt (/ 1 (PI))))) (* 2/3 (sqrt (/ 1 (PI))))))))
(* x (+ (* 2 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 1/21 (* (pow x 4) (sqrt (/ 1 (PI))))) (* 2/3 (sqrt (/ 1 (PI))))))))
(* 1/21 (* (pow x 7) (sqrt (/ 1 (PI)))))
(* (pow x 7) (+ (* 1/21 (sqrt (/ 1 (PI)))) (* 2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))))))
(* (pow x 7) (+ (* 1/21 (sqrt (/ 1 (PI)))) (+ (* 2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* 2 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))))))
(* (pow x 7) (+ (* 1/21 (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) (+ (* -2/3 (* (/ 1 (pow x 4)) (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))))) (* -1/21 (sqrt (/ 1 (PI))))))))
(* -1 (* (pow x 7) (+ (* -2 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/21 (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) (+ (* 1/21 (* (pow x 4) (sqrt (/ 1 (PI))))) (* 2/3 (sqrt (/ 1 (PI)))))))
(+ (* 2 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 1/21 (* (pow x 4) (sqrt (/ 1 (PI))))) (* 2/3 (sqrt (/ 1 (PI)))))))
(* 1/21 (* (pow x 6) (sqrt (/ 1 (PI)))))
(* (pow x 6) (+ (* 1/21 (sqrt (/ 1 (PI)))) (* 2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))))))
(* (pow x 6) (+ (* 1/21 (sqrt (/ 1 (PI)))) (+ (* 2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* 2 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))))))
(* (pow x 6) (+ (* 1/21 (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)))) (* 2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))))))
(* (pow x 6) (+ (* 1/21 (sqrt (/ 1 (PI)))) (+ (* 2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* 2 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))))))
(* (pow x 6) (+ (* 1/21 (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 (* 1/21 (pow x 4)))))
(+ 2 (* (pow x 2) (+ 2/3 (* 1/21 (pow x 4)))))
(* 1/21 (pow x 6))
(* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/21 (+ (* 2/3 (/ 1 (pow x 4))) (/ 2 (pow x 6)))))
(* (pow x 6) (+ 1/21 (+ (* 2/3 (/ 1 (pow x 4))) (/ 2 (pow x 6)))))
(* 1/21 (pow x 6))
(* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/21 (+ (* 2/3 (/ 1 (pow x 4))) (/ 2 (pow x 6)))))
(* (pow x 6) (+ 1/21 (+ (* 2/3 (/ 1 (pow x 4))) (/ 2 (pow x 6)))))
(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)))))))))
(* 1/2 (sqrt (PI)))
(+ (* -1/6 (* (pow x 2) (sqrt (PI)))) (* 1/2 (sqrt (PI))))
(+ (* 1/2 (sqrt (PI))) (* (pow x 2) (+ (* -1/6 (sqrt (PI))) (* 1/180 (* (pow x 2) (sqrt (PI)))))))
(+ (* 1/2 (sqrt (PI))) (* (pow x 2) (+ (* -1/6 (sqrt (PI))) (* (pow x 2) (+ (* 11/3780 (* (pow x 2) (sqrt (PI)))) (* 1/180 (sqrt (PI))))))))
(* 21 (* (/ 1 (pow x 6)) (sqrt (PI))))
(/ (+ (* -441/5 (* (/ 1 (pow x 2)) (sqrt (PI)))) (* 21 (sqrt (PI)))) (pow x 6))
(/ (+ (* -441/5 (* (/ 1 (pow x 2)) (sqrt (PI)))) (+ (* 21 (sqrt (PI))) (* 1911/25 (* (/ 1 (pow x 4)) (sqrt (PI)))))) (pow x 6))
(/ (+ (* -441/5 (* (/ 1 (pow x 2)) (sqrt (PI)))) (+ (* 21 (sqrt (PI))) (+ (* 3969/125 (* (/ 1 (pow x 6)) (sqrt (PI)))) (* 1911/25 (* (/ 1 (pow x 4)) (sqrt (PI))))))) (pow x 6))
(* 21 (* (/ 1 (pow x 6)) (sqrt (PI))))
(/ (+ (* -441/5 (* (/ 1 (pow x 2)) (sqrt (PI)))) (* 21 (sqrt (PI)))) (pow x 6))
(/ (+ (* -441/5 (* (/ 1 (pow x 2)) (sqrt (PI)))) (+ (* 21 (sqrt (PI))) (* 1911/25 (* (/ 1 (pow x 4)) (sqrt (PI)))))) (pow x 6))
(/ (+ (* -441/5 (* (/ 1 (pow x 2)) (sqrt (PI)))) (+ (* 21 (sqrt (PI))) (+ (* 3969/125 (* (/ 1 (pow x 6)) (sqrt (PI)))) (* 1911/25 (* (/ 1 (pow x 4)) (sqrt (PI))))))) (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)
(* 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)))))
(* 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)))
(* 1/5 (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 (* 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)))))
(* 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 (* 1/21 (pow x 4))))
(* (pow x 2) (+ 2/3 (* 1/21 (pow x 4))))
(* (pow x 2) (+ 2/3 (* 1/21 (pow x 4))))
(* 1/21 (pow x 6))
(* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(* 1/21 (pow x 6))
(* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(* 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 x (.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 x (.f64 x #s(literal 1/21 binary64)))))))))) (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 x (.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 x (.f64 x #s(literal 1/21 binary64)))))))))) (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 x (.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 x (.f64 x #s(literal 1/21 binary64)))))))))) (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 x (.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 x (.f64 x #s(literal 1/21 binary64)))))))))) (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x (+.f64 (.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x (+.f64 (.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x (+.f64 (.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x (+.f64 (.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x (+.f64 (.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x (+.f64 (.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x (+.f64 (.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x (+.f64 (.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64))) (+.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 (* 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 x (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.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))))))))
(* 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 x (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.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))) (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64)))))))
(* 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 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 1/5 binary64) (*.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))))))))
(.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 (.f64 x 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 (.f64 x 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 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x)))))
(* -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 (.f64 x 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 (.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 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -2/3 binary64) (.f64 (.f64 x x) (.f64 x x)))))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 7 binary64))))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 2/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64)))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2))))))
(.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)))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))
(.f64 x (+.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 x (*.f64 x #s(literal 1/21 binary64)))))))))))
(* 1/21 (pow x 7))
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(* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (.f64 x x)))))
(* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (.f64 x x)))))
(* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/21 binary64) (/.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 (* 2/3 (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (.f64 x x)))))
(* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (.f64 x x)))))
(* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 (.f64 x 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))))

eval423.0ms (3.2%)

Compiler: Compiled 54736 to 4994 computations (90.9% saved)

prune190.0ms (1.4%)

Pruning

22 alts after pruning (20 fresh and 2 done)

	Pruned	Kept	Total
New	1600	17	1617
Fresh	6	3	9
Picked	3	2	5
Done	0	0	0
Total	1609	22	1631

Accuracy

100.0%

Counts

1631 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.2%	(/.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
	91.7%	(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 #s(literal 1/5 binary64) (*.f64 x x)))))))) (sqrt.f64 (PI.f64)))
	91.7%	(/.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 #s(literal 1/5 binary64) (*.f64 x x))))))))))
	70.1%	(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 x #s(literal 2 binary64)))))
	98.5%	(fabs.f64 (/.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 1/21 binary64) (.f64 x x))))))))))
▶	91.7%	(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 x (.f64 x #s(literal 1/5 binary64))))))))))
	89.3%	(fabs.f64 (/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64)))))))
▶	69.5%	(fabs.f64 (/.f64 x (.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
	92.1%	(fabs.f64 (.f64 (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64)))) (.f64 x (.f64 x (.f64 #s(literal 1/5 binary64) (*.f64 x x))))) (sqrt.f64 (PI.f64))) x))
	99.8%	(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (+.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 x x))) (sqrt.f64 (PI.f64))) x))
	98.9%	(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (.f64 #s(literal 1/21 binary64) (*.f64 x x)))))) x)) (sqrt.f64 (PI.f64))) x))
▶	98.9%	(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 (.f64 x x) (*.f64 x #s(literal 1/21 binary64))))))) (sqrt.f64 (PI.f64))) x))
✓	98.9%	(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 #s(literal 1/21 binary64) (.f64 x (*.f64 x x))))))) (sqrt.f64 (PI.f64))) x))
	91.6%	(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))
	89.7%	(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64)))) (sqrt.f64 (PI.f64))) x))
	89.7%	(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64))) x))
	24.9%	(fabs.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 x x)))) (sqrt.f64 (PI.f64))) x))
	27.2%	(fabs.f64 (.f64 (/.f64 (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5 binary64)))) (sqrt.f64 (PI.f64))) x))
	99.4%	(fabs.f64 (.f64 (/.f64 x (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x)))))
✓	70.5%	(fabs.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x))
▶	99.8%	(fabs.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.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 x (.f64 x #s(literal 1/21 binary64))))))))))) x))
	98.9%	(fabs.f64 (.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)))))))))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))

Compiler

Compiled 816 to 591 computations (27.6% saved)

simplify168.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/21 binary64)))))))
✓	cost-diff	(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/21 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 x (.f64 (.f64 x x) (*.f64 x #s(literal 1/21 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 x (.f64 (.f64 x x) (*.f64 x #s(literal 1/21 binary64))))))) (sqrt.f64 (PI.f64))) x))
✓	cost-diff	(sqrt.f64 (PI.f64))
✓	cost-diff	(/.f64 (sqrt.f64 (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))))))))
✓	cost-diff	(/.f64 x (/.f64 (sqrt.f64 (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)))))))))
✓	cost-diff	(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 x (.f64 x #s(literal 1/5 binary64))))))))))
✓	cost-diff	(sqrt.f64 (PI.f64))
✓	cost-diff	(.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64))))
✓	cost-diff	(/.f64 x (.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
✓	cost-diff	(fabs.f64 (/.f64 x (.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
✓	cost-diff	(sqrt.f64 (PI.f64))
✓	cost-diff	(fabs.f64 x)
✓	cost-diff	(*.f64 #s(literal 2 binary64) (fabs.f64 x))
✓	cost-diff	(/.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (sqrt.f64 (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)) (+.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 x (*.f64 x #s(literal 1/21 binary64)))))))))))
✓	cost-diff	(.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.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 x (.f64 x #s(literal 1/21 binary64))))))))))) x)
✓	cost-diff	(fabs.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.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 x (.f64 x #s(literal 1/21 binary64))))))))))) x))

Rules

2522×	`-lowering-.f32`
2522×	`-lowering-.f64`
1738×	`sum3-define`
1452×	`+-lowering-+.f64`
1452×	`+-lowering-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	49	502
1	140	440
2	400	426
3	907	426
4	1928	426
5	3848	426
6	4701	426
7	5487	426
8	7322	426
9	7346	426
10	7346	426
11	7909	426
12	7909	426
0	8069	426

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize269.0ms (2%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 (.f64 x x) (*.f64 x #s(literal 1/21 binary64))))))) (sqrt.f64 (PI.f64))) x)
✓	accuracy	99.7%	(.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal 1/21 binary64))))))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/21 binary64))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	99.6%	(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64)))))
✓	accuracy	99.6%	(/.f64 x (/.f64 (sqrt.f64 (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)))))))))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/5 binary64))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	99.9%	(.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64))))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal -1/6 binary64))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	85.8%	(/.f64 x (.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.5%	(/.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	99.8%	(.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64))))))
✓	accuracy	99.7%	(.f64 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))))))))
✓	accuracy	99.6%	(.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/21 binary64)))))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/21 binary64))

Results

179.0ms

256×

valid

Compiler

Compiled 504 to 50 computations (90.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 122.0ms

ival-mult: 60.0ms (49.3% of total)

ival-div: 17.0ms (14% of total)

...c/correct-round.rkt:119:19: 16.0ms (13.2% of total)

ival-add: 9.0ms (7.4% of total)

ival-pow: 8.0ms (6.6% of total)

ival-fabs: 7.0ms (5.8% of total)

ival-sqrt: 2.0ms (1.6% of total)

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

const: 1.0ms (0.8% of total)

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

series21.0ms (0.2%)

Counts

27 → 288

Calls

Call 1

Inputs
#<alt (fabs (* (* (pow (PI) -1/2) (+ 2 (* x (* x (+ 2/3 (* x (* x (+ 1/5 (* x (* x 1/21)))))))))) x))>
#<alt (* (* (pow (PI) -1/2) (+ 2 (* x (* x (+ 2/3 (* x (* x (+ 1/5 (* x (* x 1/21)))))))))) x)>
#<alt (* (pow (PI) -1/2) (+ 2 (* x (* x (+ 2/3 (* x (* x (+ 1/5 (* x (* x 1/21))))))))))>
#<alt (pow (PI) -1/2)>
#<alt (/ (* 2 (fabs x)) (sqrt (PI)))>
#<alt (* 2 (fabs x))>
#<alt (fabs x)>
#<alt (sqrt (PI))>
#<alt (fabs (/ x (* (sqrt (PI)) (+ 1/2 (* (* x x) -1/6)))))>
#<alt (/ x (* (sqrt (PI)) (+ 1/2 (* (* x x) -1/6))))>
#<alt (* (sqrt (PI)) (+ 1/2 (* (* x x) -1/6)))>
#<alt (fabs (/ x (/ (sqrt (PI)) (+ 2 (* x (* x (+ 2/3 (* x (* x 1/5)))))))))>
#<alt (/ x (/ (sqrt (PI)) (+ 2 (* x (* x (+ 2/3 (* x (* x 1/5))))))))>
#<alt (/ (sqrt (PI)) (+ 2 (* x (* x (+ 2/3 (* x (* x 1/5)))))))>
#<alt (fabs (* (/ (+ 2 (* (* x x) (+ 2/3 (* x (* (* x x) (* x 1/21)))))) (sqrt (PI))) x))>
#<alt (* (/ (+ 2 (* (* x x) (+ 2/3 (* x (* (* x x) (* x 1/21)))))) (sqrt (PI))) x)>
#<alt (/ (+ 2 (* (* x x) (+ 2/3 (* x (* (* x x) (* x 1/21)))))) (sqrt (PI)))>
#<alt (+ 2 (* (* x x) (+ 2/3 (* x (* (* x x) (* x 1/21))))))>
#<alt (* x 1/21)>
#<alt (* x (+ 1/5 (* x (* x 1/21))))>
#<alt (* x (+ 2/3 (* x (* x (+ 1/5 (* x (* x 1/21)))))))>
#<alt (* x (* x (+ 1/5 (* x (* x 1/21)))))>
#<alt (PI)>
#<alt (* (* x x) -1/6)>
#<alt (* x 1/5)>
#<alt (* x (+ 2/3 (* x (* x 1/5))))>
#<alt (* (* x x) (+ 2/3 (* x (* (* 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 (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 (* 2 (* (sqrt (/ 1 (PI))) (fabs x)))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (fabs x)))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (fabs x)))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (fabs x)))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (fabs x)))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (fabs x)))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (fabs x)))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (fabs x)))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (fabs x)))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (fabs x)))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (fabs x)))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (fabs x)))>
#<alt (* 2 (fabs x))>
#<alt (* 2 (fabs x))>
#<alt (* 2 (fabs x))>
#<alt (* 2 (fabs x))>
#<alt (* 2 (fabs x))>
#<alt (* 2 (fabs x))>
#<alt (* 2 (fabs x))>
#<alt (* 2 (fabs x))>
#<alt (* 2 (fabs x))>
#<alt (* 2 (fabs x))>
#<alt (* 2 (fabs x))>
#<alt (* 2 (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 (fabs x)>
#<alt (fabs (* (/ x (+ 1/2 (* -1/6 (pow x 2)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (/ x (+ 1/2 (* -1/6 (pow x 2)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (/ x (+ 1/2 (* -1/6 (pow x 2)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (/ x (+ 1/2 (* -1/6 (pow x 2)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (/ x (- 1/2 (* 1/6 (pow x 2)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (/ x (- 1/2 (* 1/6 (pow x 2)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (/ x (- 1/2 (* 1/6 (pow x 2)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (/ x (- 1/2 (* 1/6 (pow x 2)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (/ x (- 1/2 (* 1/6 (pow x 2)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (/ x (- 1/2 (* 1/6 (pow x 2)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (/ x (- 1/2 (* 1/6 (pow x 2)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (/ x (- 1/2 (* 1/6 (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) (+ (* 2/9 (* (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) (+ (* 2/27 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 2/9 (sqrt (/ 1 (PI))))))))))>
#<alt (* -6 (* (/ 1 x) (sqrt (/ 1 (PI)))))>
#<alt (/ (+ (* -18 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -6 (sqrt (/ 1 (PI))))) x)>
#<alt (/ (+ (* -54 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* -18 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -6 (sqrt (/ 1 (PI)))))) x)>
#<alt (/ (+ (* -162 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -54 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* -18 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -6 (sqrt (/ 1 (PI))))))) x)>
#<alt (* -6 (* (/ 1 x) (sqrt (/ 1 (PI)))))>
#<alt (* -1 (/ (+ (* 6 (sqrt (/ 1 (PI)))) (* 18 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))) x))>
#<alt (* -1 (/ (+ (* 6 (sqrt (/ 1 (PI)))) (+ (* 18 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* 54 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))))) x))>
#<alt (* -1 (/ (+ (* 6 (sqrt (/ 1 (PI)))) (+ (* 18 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 54 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* 162 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))) x))>
#<alt (* 1/2 (sqrt (PI)))>
#<alt (+ (* -1/6 (* (pow x 2) (sqrt (PI)))) (* 1/2 (sqrt (PI))))>
#<alt (+ (* -1/6 (* (pow x 2) (sqrt (PI)))) (* 1/2 (sqrt (PI))))>
#<alt (+ (* -1/6 (* (pow x 2) (sqrt (PI)))) (* 1/2 (sqrt (PI))))>
#<alt (* -1/6 (* (pow x 2) (sqrt (PI))))>
#<alt (* (pow x 2) (+ (* -1/6 (sqrt (PI))) (* 1/2 (* (/ 1 (pow x 2)) (sqrt (PI))))))>
#<alt (* (pow x 2) (+ (* -1/6 (sqrt (PI))) (* 1/2 (* (/ 1 (pow x 2)) (sqrt (PI))))))>
#<alt (* (pow x 2) (+ (* -1/6 (sqrt (PI))) (* 1/2 (* (/ 1 (pow x 2)) (sqrt (PI))))))>
#<alt (* -1/6 (* (pow x 2) (sqrt (PI))))>
#<alt (* (pow x 2) (+ (* -1/6 (sqrt (PI))) (* 1/2 (* (/ 1 (pow x 2)) (sqrt (PI))))))>
#<alt (* (pow x 2) (+ (* -1/6 (sqrt (PI))) (* 1/2 (* (/ 1 (pow x 2)) (sqrt (PI))))))>
#<alt (* (pow x 2) (+ (* -1/6 (sqrt (PI))) (* 1/2 (* (/ 1 (pow x 2)) (sqrt (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 (* 1/2 (sqrt (PI)))>
#<alt (+ (* -1/6 (* (pow x 2) (sqrt (PI)))) (* 1/2 (sqrt (PI))))>
#<alt (+ (* 1/2 (sqrt (PI))) (* (pow x 2) (+ (* -1/6 (sqrt (PI))) (* 1/180 (* (pow x 2) (sqrt (PI)))))))>
#<alt (+ (* 1/2 (sqrt (PI))) (* (pow x 2) (+ (* -1/6 (sqrt (PI))) (* (pow x 2) (+ (* 1/180 (sqrt (PI))) (* 2/135 (* (pow x 2) (sqrt (PI)))))))))>
#<alt (* 5 (* (/ 1 (pow x 4)) (sqrt (PI))))>
#<alt (/ (+ (* -50/3 (* (/ 1 (pow x 2)) (sqrt (PI)))) (* 5 (sqrt (PI)))) (pow x 4))>
#<alt (/ (+ (* -50/3 (* (/ 1 (pow x 2)) (sqrt (PI)))) (+ (* 5 (sqrt (PI))) (* 50/9 (* (/ 1 (pow x 4)) (sqrt (PI)))))) (pow x 4))>
#<alt (/ (+ (* -50/3 (* (/ 1 (pow x 2)) (sqrt (PI)))) (+ (* 5 (sqrt (PI))) (+ (* 50/9 (* (/ 1 (pow x 4)) (sqrt (PI)))) (* 4000/27 (* (/ 1 (pow x 6)) (sqrt (PI))))))) (pow x 4))>
#<alt (* 5 (* (/ 1 (pow x 4)) (sqrt (PI))))>
#<alt (/ (+ (* -50/3 (* (/ 1 (pow x 2)) (sqrt (PI)))) (* 5 (sqrt (PI)))) (pow x 4))>
#<alt (/ (+ (* -50/3 (* (/ 1 (pow x 2)) (sqrt (PI)))) (+ (* 5 (sqrt (PI))) (* 50/9 (* (/ 1 (pow x 4)) (sqrt (PI)))))) (pow x 4))>
#<alt (/ (+ (* -50/3 (* (/ 1 (pow x 2)) (sqrt (PI)))) (+ (* 5 (sqrt (PI))) (+ (* 50/9 (* (/ 1 (pow x 4)) (sqrt (PI)))) (* 4000/27 (* (/ 1 (pow x 6)) (sqrt (PI))))))) (pow x 4))>
#<alt (fabs (* (* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/21 (pow x 4)))))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/21 (pow x 4)))))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/21 (pow x 4)))))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/21 (pow x 4)))))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2))))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2))))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2))))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2))))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2))))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2))))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2))))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (* 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) (+ (* 1/21 (* (pow x 4) (sqrt (/ 1 (PI))))) (* 2/3 (sqrt (/ 1 (PI))))))))>
#<alt (* x (+ (* 2 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 1/21 (* (pow x 4) (sqrt (/ 1 (PI))))) (* 2/3 (sqrt (/ 1 (PI))))))))>
#<alt (* 1/21 (* (pow x 7) (sqrt (/ 1 (PI)))))>
#<alt (* (pow x 7) (+ (* 1/21 (sqrt (/ 1 (PI)))) (* 2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 7) (+ (* 1/21 (sqrt (/ 1 (PI)))) (+ (* 2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* 2 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))))))>
#<alt (* (pow x 7) (+ (* 1/21 (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) (+ (* -2/3 (* (/ 1 (pow x 4)) (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))))) (* -1/21 (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))))) (* -1/21 (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) (+ (* 1/21 (* (pow x 4) (sqrt (/ 1 (PI))))) (* 2/3 (sqrt (/ 1 (PI)))))))>
#<alt (+ (* 2 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 1/21 (* (pow x 4) (sqrt (/ 1 (PI))))) (* 2/3 (sqrt (/ 1 (PI)))))))>
#<alt (* 1/21 (* (pow x 6) (sqrt (/ 1 (PI)))))>
#<alt (* (pow x 6) (+ (* 1/21 (sqrt (/ 1 (PI)))) (* 2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 6) (+ (* 1/21 (sqrt (/ 1 (PI)))) (+ (* 2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* 2 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))))))>
#<alt (* (pow x 6) (+ (* 1/21 (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)))) (* 2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 6) (+ (* 1/21 (sqrt (/ 1 (PI)))) (+ (* 2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* 2 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))))))>
#<alt (* (pow x 6) (+ (* 1/21 (sqrt (/ 1 (PI)))) (+ (* 2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* 2 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))))))>
#<alt 2>
#<alt (+ 2 (* 2/3 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (+ 2/3 (* 1/21 (pow x 4)))))>
#<alt (+ 2 (* (pow x 2) (+ 2/3 (* 1/21 (pow x 4)))))>
#<alt (* 1/21 (pow x 6))>
#<alt (* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/21 (+ (* 2/3 (/ 1 (pow x 4))) (/ 2 (pow x 6)))))>
#<alt (* (pow x 6) (+ 1/21 (+ (* 2/3 (/ 1 (pow x 4))) (/ 2 (pow x 6)))))>
#<alt (* 1/21 (pow x 6))>
#<alt (* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/21 (+ (* 2/3 (/ 1 (pow x 4))) (/ 2 (pow x 6)))))>
#<alt (* (pow x 6) (+ 1/21 (+ (* 2/3 (/ 1 (pow x 4))) (/ 2 (pow x 6)))))>
#<alt (* 1/21 x)>
#<alt (* 1/21 x)>
#<alt (* 1/21 x)>
#<alt (* 1/21 x)>
#<alt (* 1/21 x)>
#<alt (* 1/21 x)>
#<alt (* 1/21 x)>
#<alt (* 1/21 x)>
#<alt (* 1/21 x)>
#<alt (* 1/21 x)>
#<alt (* 1/21 x)>
#<alt (* 1/21 x)>
#<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 (* 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 (* 1/5 (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 (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/5 (pow x 2))))>
#<alt (* x (+ 2/3 (* 1/5 (pow x 2))))>
#<alt (* x (+ 2/3 (* 1/5 (pow x 2))))>
#<alt (* 1/5 (pow x 3))>
#<alt (* (pow x 3) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* 1/5 (pow x 3))>
#<alt (* (pow x 3) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* 2/3 (pow x 2))>
#<alt (* (pow x 2) (+ 2/3 (* 1/21 (pow x 4))))>
#<alt (* (pow x 2) (+ 2/3 (* 1/21 (pow x 4))))>
#<alt (* (pow x 2) (+ 2/3 (* 1/21 (pow x 4))))>
#<alt (* 1/21 (pow x 6))>
#<alt (* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))>
#<alt (* 1/21 (pow x 6))>
#<alt (* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))>

Calls

72 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(/ (* 2 (fabs x)) (sqrt (PI)))
3.0ms	x	@	-inf	(/ x (* (sqrt (PI)) (+ 1/2 (* (* x x) -1/6))))
1.0ms	x	@	0	(/ (sqrt (PI)) (+ 2 (* x (* x (+ 2/3 (* x (* x 1/5)))))))
1.0ms	x	@	inf	(/ x (* (sqrt (PI)) (+ 1/2 (* (* x x) -1/6))))
0.0ms	x	@	0	(/ (* 2 (fabs x)) (sqrt (PI)))

rewrite332.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3182×	`-lowering-.f32`
3182×	`-lowering-.f64`
2448×	`/-lowering-/.f32`
2448×	`/-lowering-/.f64`
2392×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	49	333
1	303	287
2	2473	277
0	8443	277

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 636

Calls

Call 1

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

Outputs
(fabs.f64 (.f64 x (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64)))) (.f64 x x))) (.f64 x x))))))
(fabs.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64)))) (.f64 x x))) (.f64 x x)))))))
(fabs.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64)))) (.f64 x x))) (.f64 x x))))))))
(fabs.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64)))) (.f64 x x))) (.f64 x x)))))))))
(fabs.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (neg.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64)))) (.f64 x x))) (.f64 x x)))))))
(fabs.f64 (.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64)))) (.f64 x x))) (.f64 x x))))))
(fabs.f64 (.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (neg.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64)))) (.f64 x x))) (.f64 x x)))))))
(fabs.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64)))) (.f64 x x))) (.f64 x x)))) (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(fabs.f64 (.f64 (neg.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64)))) (.f64 x x))) (.f64 x x))))) (-.f64 #s(literal 0 binary64) x)))
(fabs.f64 (.f64 (neg.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64)))) (.f64 x x))) (.f64 x x))))) (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(fabs.f64 (-.f64 (.f64 x (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64)))) (.f64 x x))) (.f64 x x))))) #s(literal 0 binary64)))
(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64)))) (.f64 x x))) (.f64 x x))))))
(.f64 (fabs.f64 x) (fabs.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64)))) (.f64 x x))) (.f64 x x))))))
(.f64 #s(literal 1 binary64) (fabs.f64 (.f64 x (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64)))) (.f64 x x))) (*.f64 x x)))))))
(.f64 (fabs.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64)))) (.f64 x x))) (.f64 x x))))) (fabs.f64 x))
(.f64 (fabs.f64 (/.f64 x (sqrt.f64 (PI.f64)))) (fabs.f64 (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64)))) (.f64 x x))) (*.f64 x x)))))
(.f64 (fabs.f64 (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64)))) (.f64 x x))) (.f64 x x)))) (fabs.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)))
(.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64)))) (.f64 x x))) (.f64 x x))))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(.f64 (fabs.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64))) (fabs.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64)))) (.f64 x x))) (*.f64 x x)))))))
(+.f64 (.f64 x (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (.f64 x (.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 x x)) (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64)))) (.f64 x x))))))
(+.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) x) (.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 x x)) (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64)))) (.f64 x x)))) x))
(fma.f64 x (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 x (.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 x x)) (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64)))) (*.f64 x x))))))
(fma.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) x (.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 x x)) (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64)))) (*.f64 x x)))) x))
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(/.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 (.f64 x x)) #s(literal 1/9261 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (neg.f64 (+.f64 (.f64 (.f64 x (.f64 x #s(literal 2/3 binary64))) (.f64 x (.f64 x #s(literal 2/3 binary64)))) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x #s(literal 1/21 binary64)) (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 (.f64 x #s(literal 1/21 binary64)) (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x #s(literal 2/3 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x #s(literal 1/21 binary64)) (.f64 x (*.f64 x x)))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x (.f64 x #s(literal 2/3 binary64))) (.f64 x (.f64 x #s(literal 2/3 binary64)))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x #s(literal 1/21 binary64)) (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 (.f64 x #s(literal 1/21 binary64)) (.f64 x (.f64 x x))))))) (neg.f64 (-.f64 (.f64 x (.f64 x #s(literal 2/3 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x #s(literal 1/21 binary64)) (.f64 x (.f64 x x)))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (+.f64 #s(literal 8/27 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/9261 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))))) (neg.f64 (+.f64 #s(literal 4/9 binary64) (.f64 (.f64 (.f64 x #s(literal 1/21 binary64)) (.f64 x (.f64 x x))) (-.f64 (.f64 (.f64 x #s(literal 1/21 binary64)) (.f64 x (*.f64 x x))) #s(literal 2/3 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 #s(literal 4/9 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/441 binary64)) (.f64 (.f64 x x) (.f64 x x)))))) (neg.f64 (-.f64 #s(literal 2/3 binary64) (.f64 (.f64 x #s(literal 1/21 binary64)) (.f64 x (.f64 x x))))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 8/27 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/9261 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (.f64 x x))) (neg.f64 (+.f64 #s(literal 4/9 binary64) (.f64 (.f64 (.f64 x #s(literal 1/21 binary64)) (.f64 x (.f64 x x))) (-.f64 (.f64 (.f64 x #s(literal 1/21 binary64)) (.f64 x (*.f64 x x))) #s(literal 2/3 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 4/9 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/441 binary64)) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x x))) (neg.f64 (-.f64 #s(literal 2/3 binary64) (.f64 (.f64 x #s(literal 1/21 binary64)) (.f64 x (.f64 x x))))))
(.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x #s(literal 1/21 binary64)) (.f64 x (.f64 x x))))))
(.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x #s(literal 1/21 binary64)) (.f64 x (.f64 x x)))))
(.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x #s(literal 1/21 binary64)) (.f64 x (.f64 x x)))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x #s(literal 1/21 binary64)) (.f64 x (.f64 x x))))) x)

simplify313.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

4526×	`-lowering-.f32`
4526×	`-lowering-.f64`
3924×	`+-lowering-+.f64`
3924×	`+-lowering-+.f32`
1298×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	306	3873
1	1044	3483
2	3722	3340
3	7818	3324
0	8265	3324

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

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 (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 (* (sqrt (/ 1 (PI))) (fabs x)))
(* 2 (* (sqrt (/ 1 (PI))) (fabs x)))
(* 2 (* (sqrt (/ 1 (PI))) (fabs x)))
(* 2 (* (sqrt (/ 1 (PI))) (fabs x)))
(* 2 (* (sqrt (/ 1 (PI))) (fabs x)))
(* 2 (* (sqrt (/ 1 (PI))) (fabs x)))
(* 2 (* (sqrt (/ 1 (PI))) (fabs x)))
(* 2 (* (sqrt (/ 1 (PI))) (fabs x)))
(* 2 (* (sqrt (/ 1 (PI))) (fabs x)))
(* 2 (* (sqrt (/ 1 (PI))) (fabs x)))
(* 2 (* (sqrt (/ 1 (PI))) (fabs x)))
(* 2 (* (sqrt (/ 1 (PI))) (fabs x)))
(* 2 (fabs x))
(* 2 (fabs x))
(* 2 (fabs x))
(* 2 (fabs x))
(* 2 (fabs x))
(* 2 (fabs x))
(* 2 (fabs x))
(* 2 (fabs x))
(* 2 (fabs x))
(* 2 (fabs x))
(* 2 (fabs x))
(* 2 (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)
(fabs (* (/ x (+ 1/2 (* -1/6 (pow x 2)))) (sqrt (/ 1 (PI)))))
(fabs (* (/ x (+ 1/2 (* -1/6 (pow x 2)))) (sqrt (/ 1 (PI)))))
(fabs (* (/ x (+ 1/2 (* -1/6 (pow x 2)))) (sqrt (/ 1 (PI)))))
(fabs (* (/ x (+ 1/2 (* -1/6 (pow x 2)))) (sqrt (/ 1 (PI)))))
(fabs (* (/ x (- 1/2 (* 1/6 (pow x 2)))) (sqrt (/ 1 (PI)))))
(fabs (* (/ x (- 1/2 (* 1/6 (pow x 2)))) (sqrt (/ 1 (PI)))))
(fabs (* (/ x (- 1/2 (* 1/6 (pow x 2)))) (sqrt (/ 1 (PI)))))
(fabs (* (/ x (- 1/2 (* 1/6 (pow x 2)))) (sqrt (/ 1 (PI)))))
(fabs (* (/ x (- 1/2 (* 1/6 (pow x 2)))) (sqrt (/ 1 (PI)))))
(fabs (* (/ x (- 1/2 (* 1/6 (pow x 2)))) (sqrt (/ 1 (PI)))))
(fabs (* (/ x (- 1/2 (* 1/6 (pow x 2)))) (sqrt (/ 1 (PI)))))
(fabs (* (/ x (- 1/2 (* 1/6 (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) (+ (* 2/9 (* (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) (+ (* 2/27 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 2/9 (sqrt (/ 1 (PI))))))))))
(* -6 (* (/ 1 x) (sqrt (/ 1 (PI)))))
(/ (+ (* -18 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -6 (sqrt (/ 1 (PI))))) x)
(/ (+ (* -54 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* -18 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -6 (sqrt (/ 1 (PI)))))) x)
(/ (+ (* -162 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -54 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* -18 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -6 (sqrt (/ 1 (PI))))))) x)
(* -6 (* (/ 1 x) (sqrt (/ 1 (PI)))))
(* -1 (/ (+ (* 6 (sqrt (/ 1 (PI)))) (* 18 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))) x))
(* -1 (/ (+ (* 6 (sqrt (/ 1 (PI)))) (+ (* 18 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* 54 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))))) x))
(* -1 (/ (+ (* 6 (sqrt (/ 1 (PI)))) (+ (* 18 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 54 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* 162 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))) x))
(* 1/2 (sqrt (PI)))
(+ (* -1/6 (* (pow x 2) (sqrt (PI)))) (* 1/2 (sqrt (PI))))
(+ (* -1/6 (* (pow x 2) (sqrt (PI)))) (* 1/2 (sqrt (PI))))
(+ (* -1/6 (* (pow x 2) (sqrt (PI)))) (* 1/2 (sqrt (PI))))
(* -1/6 (* (pow x 2) (sqrt (PI))))
(* (pow x 2) (+ (* -1/6 (sqrt (PI))) (* 1/2 (* (/ 1 (pow x 2)) (sqrt (PI))))))
(* (pow x 2) (+ (* -1/6 (sqrt (PI))) (* 1/2 (* (/ 1 (pow x 2)) (sqrt (PI))))))
(* (pow x 2) (+ (* -1/6 (sqrt (PI))) (* 1/2 (* (/ 1 (pow x 2)) (sqrt (PI))))))
(* -1/6 (* (pow x 2) (sqrt (PI))))
(* (pow x 2) (+ (* -1/6 (sqrt (PI))) (* 1/2 (* (/ 1 (pow x 2)) (sqrt (PI))))))
(* (pow x 2) (+ (* -1/6 (sqrt (PI))) (* 1/2 (* (/ 1 (pow x 2)) (sqrt (PI))))))
(* (pow x 2) (+ (* -1/6 (sqrt (PI))) (* 1/2 (* (/ 1 (pow x 2)) (sqrt (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))))))))
(* 1/2 (sqrt (PI)))
(+ (* -1/6 (* (pow x 2) (sqrt (PI)))) (* 1/2 (sqrt (PI))))
(+ (* 1/2 (sqrt (PI))) (* (pow x 2) (+ (* -1/6 (sqrt (PI))) (* 1/180 (* (pow x 2) (sqrt (PI)))))))
(+ (* 1/2 (sqrt (PI))) (* (pow x 2) (+ (* -1/6 (sqrt (PI))) (* (pow x 2) (+ (* 1/180 (sqrt (PI))) (* 2/135 (* (pow x 2) (sqrt (PI)))))))))
(* 5 (* (/ 1 (pow x 4)) (sqrt (PI))))
(/ (+ (* -50/3 (* (/ 1 (pow x 2)) (sqrt (PI)))) (* 5 (sqrt (PI)))) (pow x 4))
(/ (+ (* -50/3 (* (/ 1 (pow x 2)) (sqrt (PI)))) (+ (* 5 (sqrt (PI))) (* 50/9 (* (/ 1 (pow x 4)) (sqrt (PI)))))) (pow x 4))
(/ (+ (* -50/3 (* (/ 1 (pow x 2)) (sqrt (PI)))) (+ (* 5 (sqrt (PI))) (+ (* 50/9 (* (/ 1 (pow x 4)) (sqrt (PI)))) (* 4000/27 (* (/ 1 (pow x 6)) (sqrt (PI))))))) (pow x 4))
(* 5 (* (/ 1 (pow x 4)) (sqrt (PI))))
(/ (+ (* -50/3 (* (/ 1 (pow x 2)) (sqrt (PI)))) (* 5 (sqrt (PI)))) (pow x 4))
(/ (+ (* -50/3 (* (/ 1 (pow x 2)) (sqrt (PI)))) (+ (* 5 (sqrt (PI))) (* 50/9 (* (/ 1 (pow x 4)) (sqrt (PI)))))) (pow x 4))
(/ (+ (* -50/3 (* (/ 1 (pow x 2)) (sqrt (PI)))) (+ (* 5 (sqrt (PI))) (+ (* 50/9 (* (/ 1 (pow x 4)) (sqrt (PI)))) (* 4000/27 (* (/ 1 (pow x 6)) (sqrt (PI))))))) (pow x 4))
(fabs (* (* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/21 (pow x 4)))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/21 (pow x 4)))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/21 (pow x 4)))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/21 (pow x 4)))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (* 2/3 (pow x 2))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (* 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) (+ (* 1/21 (* (pow x 4) (sqrt (/ 1 (PI))))) (* 2/3 (sqrt (/ 1 (PI))))))))
(* x (+ (* 2 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 1/21 (* (pow x 4) (sqrt (/ 1 (PI))))) (* 2/3 (sqrt (/ 1 (PI))))))))
(* 1/21 (* (pow x 7) (sqrt (/ 1 (PI)))))
(* (pow x 7) (+ (* 1/21 (sqrt (/ 1 (PI)))) (* 2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))))))
(* (pow x 7) (+ (* 1/21 (sqrt (/ 1 (PI)))) (+ (* 2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* 2 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))))))
(* (pow x 7) (+ (* 1/21 (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) (+ (* -2/3 (* (/ 1 (pow x 4)) (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))))) (* -1/21 (sqrt (/ 1 (PI))))))))
(* -1 (* (pow x 7) (+ (* -2 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* -1/21 (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) (+ (* 1/21 (* (pow x 4) (sqrt (/ 1 (PI))))) (* 2/3 (sqrt (/ 1 (PI)))))))
(+ (* 2 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 1/21 (* (pow x 4) (sqrt (/ 1 (PI))))) (* 2/3 (sqrt (/ 1 (PI)))))))
(* 1/21 (* (pow x 6) (sqrt (/ 1 (PI)))))
(* (pow x 6) (+ (* 1/21 (sqrt (/ 1 (PI)))) (* 2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))))))
(* (pow x 6) (+ (* 1/21 (sqrt (/ 1 (PI)))) (+ (* 2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* 2 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))))))
(* (pow x 6) (+ (* 1/21 (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)))) (* 2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI)))))))
(* (pow x 6) (+ (* 1/21 (sqrt (/ 1 (PI)))) (+ (* 2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* 2 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))))))
(* (pow x 6) (+ (* 1/21 (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 (* 1/21 (pow x 4)))))
(+ 2 (* (pow x 2) (+ 2/3 (* 1/21 (pow x 4)))))
(* 1/21 (pow x 6))
(* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/21 (+ (* 2/3 (/ 1 (pow x 4))) (/ 2 (pow x 6)))))
(* (pow x 6) (+ 1/21 (+ (* 2/3 (/ 1 (pow x 4))) (/ 2 (pow x 6)))))
(* 1/21 (pow x 6))
(* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/21 (+ (* 2/3 (/ 1 (pow x 4))) (/ 2 (pow x 6)))))
(* (pow x 6) (+ 1/21 (+ (* 2/3 (/ 1 (pow x 4))) (/ 2 (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)
(* 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)))))
(* 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)))
(* 1/5 (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)))))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 2/3 x)
(* x (+ 2/3 (* 1/5 (pow x 2))))
(* x (+ 2/3 (* 1/5 (pow x 2))))
(* x (+ 2/3 (* 1/5 (pow x 2))))
(* 1/5 (pow x 3))
(* (pow x 3) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))
(* 1/5 (pow x 3))
(* (pow x 3) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* 1/21 (pow x 4))))
(* (pow x 2) (+ 2/3 (* 1/21 (pow x 4))))
(* (pow x 2) (+ 2/3 (* 1/21 (pow x 4))))
(* 1/21 (pow x 6))
(* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(* 1/21 (pow x 6))
(* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))

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 (.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 (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 (.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 (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 (.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 (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 (.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 (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 x (.f64 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 x (.f64 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 x (.f64 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 x (.f64 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 x (.f64 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 x (.f64 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 x (.f64 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 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))))))))
(* 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 x (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 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 (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))))))))
(* 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 x (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.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))) (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64)))))))
(* 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 (pow.f64 x #s(literal 7 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 1/5 binary64) (*.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))))))))
(.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 2/3 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/5 binary64) (.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 1/21 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)))))))
(* 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 (pow.f64 x #s(literal 7 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x)))))
(* -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 2/3 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/5 binary64) (.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 (.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 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -2/3 binary64) (.f64 (.f64 x x) (.f64 x x)))))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 7 binary64))))
(* 2 (sqrt (/ 1 (PI))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(+ (* 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 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.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))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))))
(* 1/21 (* (pow x 6) (sqrt (/ 1 (PI)))))
(.f64 #s(literal 1/21 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 x #s(literal 6 binary64))))
(* (pow x 6) (+ (* 1/21 (sqrt (/ 1 (PI)))) (* 1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.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 (pow.f64 x #s(literal 6 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1/21 binary64) (+.f64 (/.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.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))))) (* 2 (* (/ 1 (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 (+.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)))))))
(* 1/21 (* (pow x 6) (sqrt (/ 1 (PI)))))
(.f64 #s(literal 1/21 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 x #s(literal 6 binary64))))
(* (pow x 6) (+ (* 1/21 (sqrt (/ 1 (PI)))) (* 1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.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 (pow.f64 x #s(literal 6 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1/21 binary64) (+.f64 (/.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.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))))) (* 2 (* (/ 1 (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 (+.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)))))))
(* 2 (* (sqrt (/ 1 (PI))) (fabs x)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 2 binary64) (fabs.f64 x)))
(* 2 (* (sqrt (/ 1 (PI))) (fabs x)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 2 binary64) (fabs.f64 x)))
(* 2 (* (sqrt (/ 1 (PI))) (fabs x)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 2 binary64) (fabs.f64 x)))
(* 2 (* (sqrt (/ 1 (PI))) (fabs x)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 2 binary64) (fabs.f64 x)))
(* 2 (* (sqrt (/ 1 (PI))) (fabs x)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 2 binary64) (fabs.f64 x)))
(* 2 (* (sqrt (/ 1 (PI))) (fabs x)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 2 binary64) (fabs.f64 x)))
(* 2 (* (sqrt (/ 1 (PI))) (fabs x)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 2 binary64) (fabs.f64 x)))
(* 2 (* (sqrt (/ 1 (PI))) (fabs x)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 2 binary64) (fabs.f64 x)))
(* 2 (* (sqrt (/ 1 (PI))) (fabs x)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 2 binary64) (fabs.f64 x)))
(* 2 (* (sqrt (/ 1 (PI))) (fabs x)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 2 binary64) (fabs.f64 x)))
(* 2 (* (sqrt (/ 1 (PI))) (fabs x)))
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(* 1/21 (pow x 5))
(*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))))
(* (pow x 5) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/21 binary64) (+.f64 (/.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/5 binary64) (*.f64 x x)))))
(* (pow x 5) (+ 1/21 (+ (/ 2/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/21 binary64) (+.f64 (/.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/5 binary64) (*.f64 x x)))))
(* 1/21 (pow x 5))
(*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 1/21)))
(.f64 (+.f64 #s(literal -1/21 binary64) (/.f64 (+.f64 #s(literal -1/5 binary64) (/.f64 #s(literal -2/3 binary64) (.f64 x x))) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 1/21)))
(.f64 (+.f64 #s(literal -1/21 binary64) (/.f64 (+.f64 #s(literal -1/5 binary64) (/.f64 #s(literal -2/3 binary64) (.f64 x x))) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))))
(* 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 #s(literal 1/21 binary64) (.f64 x (.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))))
(* (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 #s(literal 1/21 binary64) (.f64 x (.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))))
(* (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))))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* 1/5 x)
(*.f64 x #s(literal 1/5 binary64))
(* 1/5 x)
(*.f64 x #s(literal 1/5 binary64))
(* 1/5 x)
(*.f64 x #s(literal 1/5 binary64))
(* 1/5 x)
(*.f64 x #s(literal 1/5 binary64))
(* 1/5 x)
(*.f64 x #s(literal 1/5 binary64))
(* 1/5 x)
(*.f64 x #s(literal 1/5 binary64))
(* 1/5 x)
(*.f64 x #s(literal 1/5 binary64))
(* 1/5 x)
(*.f64 x #s(literal 1/5 binary64))
(* 1/5 x)
(*.f64 x #s(literal 1/5 binary64))
(* 1/5 x)
(*.f64 x #s(literal 1/5 binary64))
(* 1/5 x)
(*.f64 x #s(literal 1/5 binary64))
(* 1/5 x)
(*.f64 x #s(literal 1/5 binary64))
(* 2/3 x)
(*.f64 x #s(literal 2/3 binary64))
(* x (+ 2/3 (* 1/5 (pow x 2))))
(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))
(* x (+ 2/3 (* 1/5 (pow x 2))))
(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))
(* x (+ 2/3 (* 1/5 (pow x 2))))
(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))
(* 1/5 (pow x 3))
(.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 x x))))
(* (pow x 3) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 x x))))
(* (pow x 3) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 x x))))
(* 1/5 (pow x 3))
(.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 x x))))
(* (pow x 3) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 x x))))
(* (pow x 3) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 x x))))
(* 2/3 (pow x 2))
(.f64 x (.f64 x #s(literal 2/3 binary64)))
(* (pow x 2) (+ 2/3 (* 1/21 (pow x 4))))
(.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 #s(literal 1/21 binary64) (.f64 x (.f64 x x))))))
(* (pow x 2) (+ 2/3 (* 1/21 (pow x 4))))
(.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 #s(literal 1/21 binary64) (.f64 x (.f64 x x))))))
(* (pow x 2) (+ 2/3 (* 1/21 (pow x 4))))
(.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 #s(literal 1/21 binary64) (.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 (* 2/3 (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (.f64 x x)))))
(* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (.f64 x x)))))
(* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/21 binary64) (/.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 (* 2/3 (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (.f64 x x)))))
(* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (.f64 x x)))))
(* (pow x 6) (+ 1/21 (* 2/3 (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (.f64 x x)))))

eval174.0ms (1.3%)

Compiler: Compiled 31738 to 3908 computations (87.7% saved)

prune148.0ms (1.1%)

Pruning

26 alts after pruning (20 fresh and 6 done)

	Pruned	Kept	Total
New	1176	13	1189
Fresh	8	7	15
Picked	0	5	5
Done	1	1	2
Total	1185	26	1211

Accuracy

100.0%

Counts

1211 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.2%	(/.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
	69.5%	(/.f64 (fabs.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64)))))) (sqrt.f64 (PI.f64)))
	98.5%	(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x #s(literal 1/21 binary64)) (.f64 x (*.f64 x x)))))))) (sqrt.f64 (PI.f64)))
	91.7%	(/.f64 (fabs.f64 (.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)))))))) (sqrt.f64 (PI.f64)))
	70.1%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (fabs.f64 x))))
	91.7%	(/.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 x (*.f64 x #s(literal 1/5 binary64))))))))))
	69.4%	(/.f64 #s(literal 1 binary64) (fabs.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))) (/.f64 (sqrt.f64 (PI.f64)) x))))
	91.7%	(fabs.f64 (/.f64 (/.f64 x (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64)))))))))
	27.1%	(fabs.f64 (/.f64 x (/.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 5 binary64) (/.f64 #s(literal -50/3 binary64) (.f64 x x)))) (.f64 (.f64 x x) (*.f64 x x)))))
	27.2%	(fabs.f64 (/.f64 x (/.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 5 binary64)) (.f64 (.f64 x x) (.f64 x x)))))
	98.5%	(fabs.f64 (/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x #s(literal 1/21 binary64)) (.f64 x (.f64 x x)))))))))
✓	91.7%	(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 x (.f64 x #s(literal 1/5 binary64))))))))))
	89.3%	(fabs.f64 (/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64)))))))
	91.3%	(fabs.f64 (/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x x))))))))
✓	69.5%	(fabs.f64 (/.f64 x (.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
	69.9%	(fabs.f64 (.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64))))) x))
	92.1%	(fabs.f64 (.f64 (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64)))) (.f64 x (.f64 x (.f64 #s(literal 1/5 binary64) (*.f64 x x))))) (sqrt.f64 (PI.f64))) x))
	99.8%	(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (+.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 x x))) (sqrt.f64 (PI.f64))) x))
	98.9%	(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x #s(literal 1/21 binary64)) (.f64 x (*.f64 x x))))) x)) (sqrt.f64 (PI.f64))) x))
✓	98.9%	(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 (.f64 x x) (*.f64 x #s(literal 1/21 binary64))))))) (sqrt.f64 (PI.f64))) x))
	89.7%	(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64)))) (sqrt.f64 (PI.f64))) x))
	89.7%	(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64))) x))
	27.2%	(fabs.f64 (.f64 (/.f64 (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5 binary64)))) (sqrt.f64 (PI.f64))) x))
	99.4%	(fabs.f64 (.f64 (/.f64 x (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x)))))
✓	70.5%	(fabs.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x))
✓	99.8%	(fabs.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.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 x (.f64 x #s(literal 1/21 binary64))))))))))) x))

Compiler

Compiled 1685 to 711 computations (57.8% saved)

regimes85.0ms (0.6%)

Counts

55 → 1

Calls

Call 1

Inputs
(fabs.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x))
(/.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (fabs.f64 x))))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (*.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 x (.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
(fabs.f64 (/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64)))))))
(/.f64 (fabs.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64)))))) (sqrt.f64 (PI.f64)))
(fabs.f64 (.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64))))) x))
(fabs.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (.f64 x x)))) 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 x (/.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 5 binary64)) (.f64 (.f64 x x) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))) (/.f64 (sqrt.f64 (PI.f64)) 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 x (.f64 #s(literal 1/5 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 #s(literal 1/5 binary64) (*.f64 x 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 x (*.f64 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 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64))))))))))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 #s(literal 1/5 binary64) (*.f64 x x)))))))) (sqrt.f64 (PI.f64)))
(/.f64 (fabs.f64 (.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)))))))) (sqrt.f64 (PI.f64)))
(fabs.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 x x)))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (/.f64 x (/.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 5 binary64) (/.f64 #s(literal -50/3 binary64) (.f64 x x)))) (.f64 (.f64 x x) (*.f64 x x)))))
(fabs.f64 (/.f64 (/.f64 x (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x #s(literal 1/5 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 #s(literal 1/5 binary64) (*.f64 x x))))))))))
(/.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 x (*.f64 x #s(literal 1/5 binary64))))))))))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 #s(literal 1/21 binary64) (.f64 (.f64 x x) (*.f64 x 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 x (.f64 #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 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 (.f64 x x) (*.f64 x #s(literal 1/21 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 x (.f64 x (.f64 #s(literal 1/21 binary64) (*.f64 x x)))))) x)) (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 #s(literal 1/21 binary64)) (.f64 x (*.f64 x x))))) x)) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64)))) (.f64 x (.f64 x (.f64 #s(literal 1/5 binary64) (*.f64 x x))))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (/.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 1/21 binary64) (.f64 x x))))))))))
(fabs.f64 (/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x #s(literal 1/21 binary64)) (.f64 x (.f64 x x)))))))))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x #s(literal 1/21 binary64)) (.f64 x (*.f64 x x)))))))) (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 x (.f64 x (.f64 x (.f64 x #s(literal 1/21 binary64)))))))))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(fabs.f64 (.f64 (/.f64 x (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x 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 (+.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 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64)))) (*.f64 x x))))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (+.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 x x))) (sqrt.f64 (PI.f64))) x))
(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 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 x (.f64 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.f64 (.f64 (.f64 x (+.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 x (.f64 x #s(literal 1/21 binary64))))))))))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(fabs.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.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 x (.f64 x #s(literal 1/21 binary64))))))))))) x))
(fabs.f64 (.f64 (fabs.f64 x) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 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 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)))))))))))
(fabs.f64 (.f64 (fabs.f64 x) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.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 (fabs.f64 x) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (/.f64 (.f64 (-.f64 #s(literal 1/25 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/441 binary64))) x) (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal -1/21 binary64) (.f64 x x)))))))))))
(fabs.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.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)))))))))
(fabs.f64 (/.f64 (+.f64 (.f64 (+.f64 (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 2/3 binary64)))) (.f64 (pow.f64 (.f64 x x) #s(literal 3/2 binary64)) (.f64 (.f64 x x) #s(literal 1/5 binary64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))) (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 #s(literal 1/21 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (pow.f64 (.f64 x x) #s(literal 3/2 binary64))))) #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))))))
(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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.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)))))))))

Calls

5 calls:

17.0ms	(fabs.f64 x)
16.0ms	(.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)))))
16.0ms	(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))))))
14.0ms	(+.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))))
14.0ms	x

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	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))))))
99.8%	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)))))
99.8%	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))))
99.8%	1	`(fabs.f64 x)`

Compiler

Compiled 202 to 81 computations (59.9% saved)

regimes34.0ms (0.3%)

Counts

52 → 1

Calls

Call 1

Inputs
(fabs.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x))
(/.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (fabs.f64 x))))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (*.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 x (.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
(fabs.f64 (/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64)))))))
(/.f64 (fabs.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64)))))) (sqrt.f64 (PI.f64)))
(fabs.f64 (.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64))))) x))
(fabs.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (.f64 x x)))) 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 x (/.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 5 binary64)) (.f64 (.f64 x x) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))) (/.f64 (sqrt.f64 (PI.f64)) 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 x (.f64 #s(literal 1/5 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 #s(literal 1/5 binary64) (*.f64 x 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 x (*.f64 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 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64))))))))))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 #s(literal 1/5 binary64) (*.f64 x x)))))))) (sqrt.f64 (PI.f64)))
(/.f64 (fabs.f64 (.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)))))))) (sqrt.f64 (PI.f64)))
(fabs.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 x x)))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (/.f64 x (/.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 5 binary64) (/.f64 #s(literal -50/3 binary64) (.f64 x x)))) (.f64 (.f64 x x) (*.f64 x x)))))
(fabs.f64 (/.f64 (/.f64 x (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x #s(literal 1/5 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 #s(literal 1/5 binary64) (*.f64 x x))))))))))
(/.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 x (*.f64 x #s(literal 1/5 binary64))))))))))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 #s(literal 1/21 binary64) (.f64 (.f64 x x) (*.f64 x 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 x (.f64 #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 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 (.f64 x x) (*.f64 x #s(literal 1/21 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 x (.f64 x (.f64 #s(literal 1/21 binary64) (*.f64 x x)))))) x)) (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 #s(literal 1/21 binary64)) (.f64 x (*.f64 x x))))) x)) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64)))) (.f64 x (.f64 x (.f64 #s(literal 1/5 binary64) (*.f64 x x))))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (/.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 1/21 binary64) (.f64 x x))))))))))
(fabs.f64 (/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x #s(literal 1/21 binary64)) (.f64 x (.f64 x x)))))))))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x #s(literal 1/21 binary64)) (.f64 x (*.f64 x x)))))))) (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 x (.f64 x (.f64 x (.f64 x #s(literal 1/21 binary64)))))))))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(fabs.f64 (.f64 (/.f64 x (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x 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 (+.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 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64)))) (*.f64 x x))))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (+.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 x x))) (sqrt.f64 (PI.f64))) x))
(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 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 x (.f64 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.f64 (.f64 (.f64 x (+.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 x (.f64 x #s(literal 1/21 binary64))))))))))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(fabs.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.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 x (.f64 x #s(literal 1/21 binary64))))))))))) x))
(fabs.f64 (.f64 (fabs.f64 x) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 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 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)))))))))))
(fabs.f64 (.f64 (fabs.f64 x) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.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 (fabs.f64 x) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (/.f64 (.f64 (-.f64 #s(literal 1/25 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/441 binary64))) x) (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal -1/21 binary64) (.f64 x x)))))))))))

Outputs

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

Calls

2 calls:

16.0ms	x
13.0ms	(fabs.f64 x)

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(fabs.f64 x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes29.0ms (0.2%)

Counts

42 → 1

Calls

Call 1

Inputs
(fabs.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x))
(/.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (fabs.f64 x))))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (*.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 x (.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
(fabs.f64 (/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64)))))))
(/.f64 (fabs.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64)))))) (sqrt.f64 (PI.f64)))
(fabs.f64 (.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64))))) x))
(fabs.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (.f64 x x)))) 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 x (/.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 5 binary64)) (.f64 (.f64 x x) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))) (/.f64 (sqrt.f64 (PI.f64)) 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 x (.f64 #s(literal 1/5 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 #s(literal 1/5 binary64) (*.f64 x 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 x (*.f64 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 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64))))))))))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 #s(literal 1/5 binary64) (*.f64 x x)))))))) (sqrt.f64 (PI.f64)))
(/.f64 (fabs.f64 (.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)))))))) (sqrt.f64 (PI.f64)))
(fabs.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 x x)))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (/.f64 x (/.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 5 binary64) (/.f64 #s(literal -50/3 binary64) (.f64 x x)))) (.f64 (.f64 x x) (*.f64 x x)))))
(fabs.f64 (/.f64 (/.f64 x (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x #s(literal 1/5 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 #s(literal 1/5 binary64) (*.f64 x x))))))))))
(/.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 x (*.f64 x #s(literal 1/5 binary64))))))))))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 #s(literal 1/21 binary64) (.f64 (.f64 x x) (*.f64 x 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 x (.f64 #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 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 (.f64 x x) (*.f64 x #s(literal 1/21 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 x (.f64 x (.f64 #s(literal 1/21 binary64) (*.f64 x x)))))) x)) (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 #s(literal 1/21 binary64)) (.f64 x (*.f64 x x))))) x)) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64)))) (.f64 x (.f64 x (.f64 #s(literal 1/5 binary64) (*.f64 x x))))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (/.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 1/21 binary64) (.f64 x x))))))))))
(fabs.f64 (/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x #s(literal 1/21 binary64)) (.f64 x (.f64 x x)))))))))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x #s(literal 1/21 binary64)) (.f64 x (*.f64 x x)))))))) (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 x (.f64 x (.f64 x (.f64 x #s(literal 1/21 binary64)))))))))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(fabs.f64 (.f64 (/.f64 x (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x 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 (+.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 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64)))) (*.f64 x x))))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (+.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 x x))) (sqrt.f64 (PI.f64))) x))
(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 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 x (.f64 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)))

Outputs

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

Calls

2 calls:

14.0ms	(fabs.f64 x)
11.0ms	x

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(fabs.f64 x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes34.0ms (0.3%)

Counts

38 → 1

Calls

Call 1

Inputs
(fabs.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x))
(/.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (fabs.f64 x))))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (*.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 x (.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
(fabs.f64 (/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64)))))))
(/.f64 (fabs.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64)))))) (sqrt.f64 (PI.f64)))
(fabs.f64 (.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64))))) x))
(fabs.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (.f64 x x)))) 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 x (/.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 5 binary64)) (.f64 (.f64 x x) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))) (/.f64 (sqrt.f64 (PI.f64)) 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 x (.f64 #s(literal 1/5 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 #s(literal 1/5 binary64) (*.f64 x 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 x (*.f64 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 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64))))))))))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 #s(literal 1/5 binary64) (*.f64 x x)))))))) (sqrt.f64 (PI.f64)))
(/.f64 (fabs.f64 (.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)))))))) (sqrt.f64 (PI.f64)))
(fabs.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 x x)))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (/.f64 x (/.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 5 binary64) (/.f64 #s(literal -50/3 binary64) (.f64 x x)))) (.f64 (.f64 x x) (*.f64 x x)))))
(fabs.f64 (/.f64 (/.f64 x (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x #s(literal 1/5 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 #s(literal 1/5 binary64) (*.f64 x x))))))))))
(/.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 x (*.f64 x #s(literal 1/5 binary64))))))))))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 #s(literal 1/21 binary64) (.f64 (.f64 x x) (*.f64 x 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 x (.f64 #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 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 (.f64 x x) (*.f64 x #s(literal 1/21 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 x (.f64 x (.f64 #s(literal 1/21 binary64) (*.f64 x x)))))) x)) (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 #s(literal 1/21 binary64)) (.f64 x (*.f64 x x))))) x)) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64)))) (.f64 x (.f64 x (.f64 #s(literal 1/5 binary64) (*.f64 x x))))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (/.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 1/21 binary64) (.f64 x x))))))))))
(fabs.f64 (/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x #s(literal 1/21 binary64)) (.f64 x (.f64 x x)))))))))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x #s(literal 1/21 binary64)) (.f64 x (*.f64 x x)))))))) (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 x (.f64 x (.f64 x (.f64 x #s(literal 1/21 binary64)))))))))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(fabs.f64 (.f64 (/.f64 x (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x 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 (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))) (sqrt.f64 (PI.f64))) 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 (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))) (sqrt.f64 (PI.f64))) x))

Calls

2 calls:

13.0ms	(fabs.f64 x)
10.0ms	x

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	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 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (fabs.f64 x))))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (*.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 x (.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
(fabs.f64 (/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64)))))))
(/.f64 (fabs.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64)))))) (sqrt.f64 (PI.f64)))
(fabs.f64 (.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64))))) x))
(fabs.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (.f64 x x)))) 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 x (/.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 5 binary64)) (.f64 (.f64 x x) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))) (/.f64 (sqrt.f64 (PI.f64)) 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 x (.f64 #s(literal 1/5 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 #s(literal 1/5 binary64) (*.f64 x 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 x (*.f64 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 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64))))))))))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 #s(literal 1/5 binary64) (*.f64 x x)))))))) (sqrt.f64 (PI.f64)))
(/.f64 (fabs.f64 (.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)))))))) (sqrt.f64 (PI.f64)))
(fabs.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 x x)))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (/.f64 x (/.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 5 binary64) (/.f64 #s(literal -50/3 binary64) (.f64 x x)))) (.f64 (.f64 x x) (*.f64 x x)))))
(fabs.f64 (/.f64 (/.f64 x (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x #s(literal 1/5 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 #s(literal 1/5 binary64) (*.f64 x x))))))))))
(/.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 x (*.f64 x #s(literal 1/5 binary64))))))))))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 #s(literal 1/21 binary64) (.f64 (.f64 x x) (*.f64 x 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 x (.f64 #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 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 (.f64 x x) (*.f64 x #s(literal 1/21 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 x (.f64 x (.f64 #s(literal 1/21 binary64) (*.f64 x x)))))) x)) (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 #s(literal 1/21 binary64)) (.f64 x (*.f64 x x))))) x)) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64)))) (.f64 x (.f64 x (.f64 #s(literal 1/5 binary64) (*.f64 x x))))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (/.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 1/21 binary64) (.f64 x x))))))))))
(fabs.f64 (/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x #s(literal 1/21 binary64)) (.f64 x (.f64 x x)))))))))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x #s(literal 1/21 binary64)) (.f64 x (*.f64 x x)))))))) (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 x (.f64 x (.f64 x (.f64 x #s(literal 1/21 binary64)))))))))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(fabs.f64 (.f64 (/.f64 x (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x)))))

Outputs

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

Calls

2 calls:

10.0ms	(fabs.f64 x)
10.0ms	x

Results

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

Compiler

Compiled 5 to 3 computations (40% saved)

regimes27.0ms (0.2%)

Counts

36 → 1

Calls

Call 1

Inputs
(fabs.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x))
(/.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (fabs.f64 x))))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (*.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 x (.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
(fabs.f64 (/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64)))))))
(/.f64 (fabs.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64)))))) (sqrt.f64 (PI.f64)))
(fabs.f64 (.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64))))) x))
(fabs.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (.f64 x x)))) 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 x (/.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 5 binary64)) (.f64 (.f64 x x) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))) (/.f64 (sqrt.f64 (PI.f64)) 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 x (.f64 #s(literal 1/5 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 #s(literal 1/5 binary64) (*.f64 x 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 x (*.f64 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 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64))))))))))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 #s(literal 1/5 binary64) (*.f64 x x)))))))) (sqrt.f64 (PI.f64)))
(/.f64 (fabs.f64 (.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)))))))) (sqrt.f64 (PI.f64)))
(fabs.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 x x)))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (/.f64 x (/.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 5 binary64) (/.f64 #s(literal -50/3 binary64) (.f64 x x)))) (.f64 (.f64 x x) (*.f64 x x)))))
(fabs.f64 (/.f64 (/.f64 x (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x #s(literal 1/5 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 #s(literal 1/5 binary64) (*.f64 x x))))))))))
(/.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 x (*.f64 x #s(literal 1/5 binary64))))))))))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 #s(literal 1/21 binary64) (.f64 (.f64 x x) (*.f64 x 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 x (.f64 #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 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 (.f64 x x) (*.f64 x #s(literal 1/21 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 x (.f64 x (.f64 #s(literal 1/21 binary64) (*.f64 x x)))))) x)) (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 #s(literal 1/21 binary64)) (.f64 x (*.f64 x x))))) x)) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64)))) (.f64 x (.f64 x (.f64 #s(literal 1/5 binary64) (*.f64 x x))))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (/.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 1/21 binary64) (.f64 x x))))))))))
(fabs.f64 (/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x #s(literal 1/21 binary64)) (.f64 x (.f64 x x)))))))))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x #s(literal 1/21 binary64)) (.f64 x (*.f64 x x)))))))) (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 x (.f64 x (.f64 x (.f64 x #s(literal 1/21 binary64)))))))))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))

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

Calls

2 calls:

14.0ms	x
10.0ms	(fabs.f64 x)

Results

Accuracy	Segments	Branch
98.9%	1	`x`
98.9%	1	`(fabs.f64 x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes21.0ms (0.2%)

Counts

30 → 1

Calls

Call 1

Inputs
(fabs.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x))
(/.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (fabs.f64 x))))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (*.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 x (.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
(fabs.f64 (/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64)))))))
(/.f64 (fabs.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64)))))) (sqrt.f64 (PI.f64)))
(fabs.f64 (.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64))))) x))
(fabs.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (.f64 x x)))) 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 x (/.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 5 binary64)) (.f64 (.f64 x x) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))) (/.f64 (sqrt.f64 (PI.f64)) 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 x (.f64 #s(literal 1/5 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 #s(literal 1/5 binary64) (*.f64 x 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 x (*.f64 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 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64))))))))))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 #s(literal 1/5 binary64) (*.f64 x x)))))))) (sqrt.f64 (PI.f64)))
(/.f64 (fabs.f64 (.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)))))))) (sqrt.f64 (PI.f64)))
(fabs.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 x x)))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (/.f64 x (/.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 5 binary64) (/.f64 #s(literal -50/3 binary64) (.f64 x x)))) (.f64 (.f64 x x) (*.f64 x x)))))
(fabs.f64 (/.f64 (/.f64 x (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x #s(literal 1/5 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 #s(literal 1/5 binary64) (*.f64 x x))))))))))
(/.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 x (*.f64 x #s(literal 1/5 binary64))))))))))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 #s(literal 1/21 binary64) (.f64 (.f64 x x) (*.f64 x 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 x (.f64 #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 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 (.f64 x x) (*.f64 x #s(literal 1/21 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 x (.f64 x (.f64 #s(literal 1/21 binary64) (*.f64 x x)))))) x)) (sqrt.f64 (PI.f64))) x))

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

Calls

2 calls:

10.0ms	x
8.0ms	(fabs.f64 x)

Results

Accuracy	Segments	Branch
98.9%	1	`x`
98.9%	1	`(fabs.f64 x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes23.0ms (0.2%)

Counts

27 → 1

Calls

Call 1

Inputs
(fabs.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x))
(/.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (fabs.f64 x))))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (*.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 x (.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
(fabs.f64 (/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64)))))))
(/.f64 (fabs.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64)))))) (sqrt.f64 (PI.f64)))
(fabs.f64 (.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64))))) x))
(fabs.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (.f64 x x)))) 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 x (/.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 5 binary64)) (.f64 (.f64 x x) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))) (/.f64 (sqrt.f64 (PI.f64)) 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 x (.f64 #s(literal 1/5 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 #s(literal 1/5 binary64) (*.f64 x 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 x (*.f64 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 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64))))))))))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 #s(literal 1/5 binary64) (*.f64 x x)))))))) (sqrt.f64 (PI.f64)))
(/.f64 (fabs.f64 (.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)))))))) (sqrt.f64 (PI.f64)))
(fabs.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 x x)))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (/.f64 x (/.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 5 binary64) (/.f64 #s(literal -50/3 binary64) (.f64 x x)))) (.f64 (.f64 x x) (*.f64 x x)))))
(fabs.f64 (/.f64 (/.f64 x (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x #s(literal 1/5 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 #s(literal 1/5 binary64) (*.f64 x x))))))))))
(/.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 x (*.f64 x #s(literal 1/5 binary64))))))))))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 #s(literal 1/21 binary64) (.f64 (.f64 x x) (*.f64 x x)))))) (sqrt.f64 (PI.f64))) x))

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

Calls

2 calls:

13.0ms	x
7.0ms	(fabs.f64 x)

Results

Accuracy	Segments	Branch
98.9%	1	`x`
98.9%	1	`(fabs.f64 x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes18.0ms (0.1%)

Counts

26 → 1

Calls

Call 1

Inputs
(fabs.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x))
(/.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (fabs.f64 x))))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (*.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 x (.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
(fabs.f64 (/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64)))))))
(/.f64 (fabs.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64)))))) (sqrt.f64 (PI.f64)))
(fabs.f64 (.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64))))) x))
(fabs.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (.f64 x x)))) 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 x (/.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 5 binary64)) (.f64 (.f64 x x) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))) (/.f64 (sqrt.f64 (PI.f64)) 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 x (.f64 #s(literal 1/5 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 #s(literal 1/5 binary64) (*.f64 x 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 x (*.f64 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 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64))))))))))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 #s(literal 1/5 binary64) (*.f64 x x)))))))) (sqrt.f64 (PI.f64)))
(/.f64 (fabs.f64 (.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)))))))) (sqrt.f64 (PI.f64)))
(fabs.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 x x)))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (/.f64 x (/.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 5 binary64) (/.f64 #s(literal -50/3 binary64) (.f64 x x)))) (.f64 (.f64 x x) (*.f64 x x)))))
(fabs.f64 (/.f64 (/.f64 x (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x #s(literal 1/5 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 #s(literal 1/5 binary64) (*.f64 x x))))))))))
(/.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 x (*.f64 x #s(literal 1/5 binary64))))))))))

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

Calls

2 calls:

8.0ms	x
7.0ms	(fabs.f64 x)

Results

Accuracy	Segments	Branch
92.1%	1	`x`
92.1%	1	`(fabs.f64 x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes11.0ms (0.1%)

Counts

16 → 1

Calls

Call 1

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

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:

5.0ms	x
5.0ms	(fabs.f64 x)

Results

Accuracy	Segments	Branch
91.6%	1	`x`
91.6%	1	`(fabs.f64 x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes12.0ms (0.1%)

Counts

14 → 2

Calls

Call 1

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

Outputs

(fabs.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) x))

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

Calls

2 calls:

6.0ms	(fabs.f64 x)
4.0ms	x

Results

Accuracy	Segments	Branch
92.0%	2	`x`
92.0%	2	`(fabs.f64 x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes8.0ms (0.1%)

Counts

11 → 1

Calls

Call 1

Inputs
(fabs.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x))
(/.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (fabs.f64 x))))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (*.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 x (.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
(fabs.f64 (/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64)))))))
(/.f64 (fabs.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64)))))) (sqrt.f64 (PI.f64)))
(fabs.f64 (.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64))))) x))
(fabs.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (.f64 x x)))) x))

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

Calls

2 calls:

4.0ms	x
4.0ms	(fabs.f64 x)

Results

Accuracy	Segments	Branch
89.7%	1	`x`
89.7%	1	`(fabs.f64 x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes5.0ms (0%)

Accuracy

Total -0.4b remaining (-2.1%)

Threshold costs -0.4b (-2.1%)

Counts

4 → 1

Calls

Call 1

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

3.0ms	(fabs.f64 x)
2.0ms	x

Results

Accuracy	Segments	Branch
70.5%	1	`x`
70.5%	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	0.4285098062639528	77.44930987513753

Compiler

Compiled 57 to 31 computations (45.6% saved)

simplify27.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

104×	`*-commutative_binary64`
80×	`fabs-mul_binary64`
50×	`+-commutative_binary64`
26×	`fabs-div_binary64`
2×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	296
1	238	296
2	281	296
3	284	296
4	287	296
5	291	296
6	294	296
7	296	296
8	296	296

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fabs.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.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)))))))))
(fabs.f64 (.f64 (.f64 x (+.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 x (.f64 x #s(literal 1/21 binary64))))))))))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64)))) (*.f64 x 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 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 x (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x)))))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x #s(literal 1/21 binary64)) (.f64 x (*.f64 x x))))) 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 x (.f64 #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 x x) (+.f64 #s(literal 2/3 binary64) (.f64 #s(literal 1/21 binary64) (.f64 (.f64 x x) (*.f64 x 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 #s(literal 1/5 binary64) (*.f64 x x))))) (sqrt.f64 (PI.f64))) 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))
(if (<=.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (fabs.f64 (.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))) 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))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x))

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

soundness3.2s (24.1%)

Rules

5234×	`-lowering-.f32`
5234×	`-lowering-.f64`
4594×	`-lowering-.f32`
4594×	`-lowering-.f64`
4318×	`-lowering-.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	218	5104
1	783	4771
2	2796	4497
3	6135	4493
0	8214	4493
0	137	2516
1	456	2401
2	1562	2338
3	4538	2292
4	7385	2276
0	8230	2276
0	264	4310
1	961	3934
2	3347	3776
3	7124	3768
0	8765	3768
0	49	333
1	303	287
2	2473	277
0	8443	277
0	41	259
1	238	205
2	2233	194
0	8258	194
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	44	396
1	280	349
2	2300	339
0	9598	339
0	58	463
1	380	411
2	2717	411
0	8131	411

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

Compiler

Compiled 606 to 345 computations (43.1% saved)

preprocess103.0ms (0.8%)

Remove: (abs x)
Compiler: Compiled 1544 to 872 computations (43.5% saved)

Iter	Nodes	Cost
0	125	296
1	238	296
2	281	296
3	284	296
4	287	296
5	291	296
6	294	296
7	296	296
8	296	296

Iter	Nodes	Cost
0	125	296
1	238	296
2	281	296
3	284	296
4	287	296
5	291	296
6	294	296
7	296	296
8	296	296

analyze0.0ms (0%)

sample2.3s (17.6%)

preprocess299.0ms (2.3%)

explain276.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify290.0ms (2.2%)

localize193.0ms (1.5%)

series23.0ms (0.2%)

rewrite452.0ms (3.4%)

simplify208.0ms (1.6%)

eval225.0ms (1.7%)

prune169.0ms (1.3%)

simplify278.0ms (2.1%)

localize398.0ms (3%)

series25.0ms (0.2%)

rewrite380.0ms (2.9%)

simplify336.0ms (2.5%)

eval173.0ms (1.3%)

prune133.0ms (1%)

simplify179.0ms (1.4%)

localize332.0ms (2.5%)

series16.0ms (0.1%)

rewrite465.0ms (3.5%)

simplify335.0ms (2.5%)

eval423.0ms (3.2%)

prune190.0ms (1.4%)

simplify168.0ms (1.3%)

localize269.0ms (2%)

series21.0ms (0.2%)

rewrite332.0ms (2.5%)

simplify313.0ms (2.4%)

eval174.0ms (1.3%)

prune148.0ms (1.1%)

regimes85.0ms (0.6%)

regimes34.0ms (0.3%)

regimes29.0ms (0.2%)

regimes34.0ms (0.3%)

regimes26.0ms (0.2%)

regimes27.0ms (0.2%)

regimes21.0ms (0.2%)

regimes23.0ms (0.2%)

regimes18.0ms (0.1%)

regimes11.0ms (0.1%)

regimes12.0ms (0.1%)

regimes8.0ms (0.1%)

regimes5.0ms (0%)

bsearch0.0ms (0%)

simplify27.0ms (0.2%)

soundness3.2s (24.1%)

preprocess103.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	125	296
1	238	296
2	281	296
3	284	296
4	287	296
5	291	296
6	294	296
7	296	296
8	296	296