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 (18.7%)

Results

1.6s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

ival-mult: 651.0ms (48% of total)

ival-div: 266.0ms (19.6% of total)

ival-add: 135.0ms (10% of total)

ival-fabs: 116.0ms (8.6% of total)

ival-sqrt: 68.0ms (5% of total)

ival-<=: 49.0ms (3.6% of total)

ival-pi: 40.0ms (3% of total)

const: 26.0ms (1.9% of total)

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

Bogosity

preprocess302.0ms (2.4%)

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)

explain246.0ms (2%)

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

132.0ms

512×

valid

Compiler

Compiled 880 to 86 computations (90.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-mult: 38.0ms (48.7% of total)

ival-div: 15.0ms (19.2% of total)

ival-sqrt: 8.0ms (10.2% of total)

ival-add: 7.0ms (9% of total)

ival-fabs: 6.0ms (7.7% of total)

ival-pi: 2.0ms (2.6% of total)

const: 2.0ms (2.6% 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
▶	99.9%	(fabs.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (.f64 #s(literal 2 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))))
▶	99.9%	(fabs.f64 (.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))) (sqrt.f64 (PI.f64)))))

Status

Accuracy

Program

▶

99.9%

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

▶

99.9%

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

Compiler

Compiled 95 to 46 computations (51.6% saved)

simplify250.0ms (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)))

localize212.0ms (1.7%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))
✓	accuracy	99.9%	(.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))
✓	accuracy	99.8%	(.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	99.8%	(.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))
✓	accuracy	99.8%	(.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))))
✓	accuracy	99.4%	(.f64 (.f64 x x) #s(literal 1/21 binary64))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))

Results

143.0ms

256×

valid

Compiler

Compiled 564 to 42 computations (92.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-mult: 30.0ms (46.6% of total)

...c/correct-round.rkt:119:19: 10.0ms (15.5% of total)

ival-div: 9.0ms (14% of total)

ival-add: 7.0ms (10.9% of total)

ival-fabs: 5.0ms (7.8% of total)

ival-sqrt: 2.0ms (3.1% of total)

ival-pi: 1.0ms (1.6% of total)

const: 1.0ms (1.6% of total)

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

series25.0ms (0.2%)

Counts

15 → 168

Calls

Call 1

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

Calls

42 calls:

Time	Variable		Point	Expression
6.0ms	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)))))
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)))))
1.0ms	x	@	inf	(* (fabs x) (/ (+ 2 (* (* x x) (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21)))))) (sqrt (PI))))
1.0ms	x	@	0	(* (fabs x) (/ (+ 2 (* (* x x) (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21)))))) (sqrt (PI))))

rewrite427.0ms (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	260
1	238	206
2	2233	195
0	8258	195

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 678

Calls

Call 1

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

simplify243.0ms (1.9%)

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	138	2540
1	457	2425
2	1559	2362
3	4534	2304
4	7369	2288
0	8214	2288

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

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

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

eval267.0ms (2.1%)

Compiler: Compiled 102617 to 5689 computations (94.5% saved)

prune136.0ms (1.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	1428	4	1432
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	1430	4	1434

Accuracy

100.0%

Counts

1434 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(/.f64 (fabs.f64 (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))) (sqrt.f64 (PI.f64)))
▶	99.9%	(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))) (sqrt.f64 (PI.f64))) x))
▶	35.8%	(fabs.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (fabs.f64 x) #s(literal 1/21 binary64)))))
▶	92.8%	(fabs.f64 (.f64 (fabs.f64 x) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 2/3 binary64))))))

Compiler

Compiled 93 to 65 computations (30.1% saved)

simplify182.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

4340×	`+-lowering-+.f64`
4340×	`+-lowering-+.f32`
2648×	`-lowering-.f32`
2648×	`-lowering-.f64`
2094×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	468
1	114	410
2	386	408
3	1232	407
4	2625	407
5	5186	407
0	8038	407

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize230.0ms (1.8%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))
✓	accuracy	99.6%	(.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64))))
✓	accuracy	99.4%	(.f64 (.f64 x x) #s(literal 1/21 binary64))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	99.8%	(.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.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	99.4%	(.f64 (.f64 x x) #s(literal 1/21 binary64))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	100.0%	(.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (*.f64 (fabs.f64 x) #s(literal 1/21 binary64)))
✓	accuracy	99.9%	(.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.5%	(*.f64 (fabs.f64 x) #s(literal 1/21 binary64))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	100.0%	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 2/3 binary64))))
✓	accuracy	99.9%	(.f64 (fabs.f64 x) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 2/3 binary64)))))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 2/3 binary64))

Results

151.0ms

256×

valid

Compiler

Compiled 497 to 37 computations (92.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-mult: 29.0ms (45.6% of total)

...c/correct-round.rkt:119:19: 12.0ms (18.9% of total)

ival-fabs: 7.0ms (11% of total)

ival-div: 5.0ms (7.9% of total)

ival-add: 5.0ms (7.9% of total)

ival-sqrt: 4.0ms (6.3% of total)

ival-pi: 1.0ms (1.6% of total)

const: 1.0ms (1.6% of total)

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

series20.0ms (0.2%)

Counts

25 → 252

Calls

Call 1

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

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

Calls

63 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(* (fabs x) (* (sqrt (/ 1 (PI))) (+ 2 (* (* x x) 2/3))))
2.0ms	x	@	-inf	(fabs (* (sqrt (/ 1 (PI))) (* (* (* x (* x x)) (* x (* x x))) (* (fabs x) 1/21))))
1.0ms	x	@	0	(* (sqrt (/ 1 (PI))) (* (* (* x (* x x)) (* x (* x x))) (* (fabs x) 1/21)))
1.0ms	x	@	-inf	(* (sqrt (/ 1 (PI))) (* (* (* x (* x x)) (* x (* x x))) (* (fabs x) 1/21)))
1.0ms	x	@	inf	(* (sqrt (/ 1 (PI))) (* (* (* x (* x x)) (* x (* x x))) (* (fabs x) 1/21)))

rewrite418.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

4734×	`-lowering-.f32`
4734×	`-lowering-.f64`
3266×	`/-lowering-/.f32`
3266×	`/-lowering-/.f64`
1396×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	298
1	219	257
2	1659	253
0	8415	253

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 1076

Calls

Call 1

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

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

simplify257.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

3784×	`-lowering-.f32`
3784×	`-lowering-.f64`
2998×	`+-lowering-+.f64`
2998×	`+-lowering-+.f32`
2056×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	182	3281
1	638	3037
2	2237	2950
3	5120	2906
0	8503	2906

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

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

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

eval272.0ms (2.2%)

Compiler: Compiled 60133 to 5190 computations (91.4% saved)

prune207.0ms (1.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	1816	11	1827
Fresh	0	0	0
Picked	4	0	4
Done	0	0	0
Total	1820	11	1831

Accuracy

100.0%

Counts

1831 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.8%	(/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (*.f64 (fabs.f64 x) #s(literal 1/21 binary64))))) (sqrt.f64 (PI.f64)))
▶	99.4%	(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))) (sqrt.f64 (PI.f64)))
	35.8%	(.f64 (/.f64 (.f64 (.f64 (fabs.f64 x) #s(literal 1/21 binary64)) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (/.f64 (*.f64 x x) (sqrt.f64 (PI.f64))))
	35.8%	(.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 (fabs.f64 x) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))))) #s(literal 1/21 binary64))
▶	35.8%	(.f64 #s(literal 1/21 binary64) (/.f64 (.f64 (fabs.f64 x) (.f64 x (.f64 (.f64 x x) (.f64 x (*.f64 x x))))) (sqrt.f64 (PI.f64))))
	96.3%	(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))) (sqrt.f64 (PI.f64))) x))
	92.8%	(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sqrt.f64 (PI.f64))) x))
▶	92.8%	(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64)))) (sqrt.f64 (PI.f64))) x))
▶	69.2%	(fabs.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x))
▶	92.8%	(fabs.f64 (.f64 (.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))
	69.5%	(fabs.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x #s(literal 2 binary64))))

Compiler

Compiled 382 to 268 computations (29.8% saved)

simplify131.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

1718×	`-lowering-.f32`
1718×	`-lowering-.f64`
1676×	`fma-define`
1424×	`fma-lowering-fma.f32`
1424×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	372
1	115	328
2	333	326
3	888	324
4	1964	324
5	2640	324
6	2992	324
7	3048	324
8	3070	324
9	3075	324
10	3075	324
11	3085	324
12	3088	324
0	3088	324

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize230.0ms (1.8%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 x (.f64 (.f64 x x) (.f64 x (*.f64 x x))))
✓	accuracy	99.9%	(.f64 (.f64 x x) (.f64 x (.f64 x x)))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	100.0%	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64)))))
✓	accuracy	99.9%	(.f64 (.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)
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 2/3 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal 2/3 binary64))
✓	accuracy	99.9%	(.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64)))) (sqrt.f64 (PI.f64))) x)
✓	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))
✓	accuracy	100.0%	(fabs.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.9%	(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x)
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	99.8%	(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))) (sqrt.f64 (PI.f64)))
✓	accuracy	99.7%	(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))
✓	accuracy	99.4%	(.f64 (.f64 x x) #s(literal 1/21 binary64))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))

Results

143.0ms

256×

valid

Compiler

Compiled 399 to 41 computations (89.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-mult: 29.0ms (45.7% of total)

...c/correct-round.rkt:119:19: 10.0ms (15.8% of total)

ival-div: 8.0ms (12.6% of total)

ival-fabs: 7.0ms (11% of total)

ival-add: 5.0ms (7.9% of total)

ival-sqrt: 4.0ms (6.3% of total)

ival-pi: 1.0ms (1.6% of total)

const: 1.0ms (1.6% of total)

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

series12.0ms (0.1%)

Counts

28 → 288

Calls

Call 1

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

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

Calls

72 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(* (/ 2 (sqrt (PI))) x)
1.0ms	x	@	0	(/ (fabs (* x (+ 2 (* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21))))))))) (sqrt (PI)))
0.0ms	x	@	-inf	(/ (fabs (* x (+ 2 (* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21))))))))) (sqrt (PI)))
0.0ms	x	@	inf	(/ (fabs (* x (+ 2 (* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21))))))))) (sqrt (PI)))
0.0ms	x	@	inf	(* (/ 2 (sqrt (PI))) x)

rewrite422.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

4668×	`-lowering-.f32`
4668×	`-lowering-.f64`
3598×	`/-lowering-/.f32`
3598×	`/-lowering-/.f64`
1424×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	272
1	228	230
2	1654	230
0	8456	230

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 1064

Calls

Call 1

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

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

simplify258.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

5096×	`-lowering-.f32`
5096×	`-lowering-.f64`
1746×	`/-lowering-/.f32`
1746×	`/-lowering-/.f64`
1622×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	117	2856
1	395	2627
2	1251	2606
3	4053	2596
0	8515	2596

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

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

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

eval210.0ms (1.7%)

Compiler: Compiled 41931 to 4209 computations (90% saved)

prune181.0ms (1.5%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	1712	8	1720
Fresh	4	2	6
Picked	3	2	5
Done	0	0	0
Total	1719	12	1731

Accuracy

100.0%

Counts

1731 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.8%	(/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (*.f64 (fabs.f64 x) #s(literal 1/21 binary64))))) (sqrt.f64 (PI.f64)))
▶	69.0%	(/.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
▶	95.8%	(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))))) (sqrt.f64 (PI.f64)))
	92.6%	(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 2/3 binary64))))) (sqrt.f64 (PI.f64)))
✓	99.4%	(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))) (sqrt.f64 (PI.f64)))
▶	92.6%	(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (*.f64 x x)))))))
	68.7%	(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (PI.f64)) x))))
	35.8%	(.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 (fabs.f64 x) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))))) #s(literal 1/21 binary64))
▶	35.8%	(.f64 #s(literal 1/21 binary64) (.f64 (.f64 x (fabs.f64 x)) (/.f64 (.f64 x (.f64 x (.f64 x (*.f64 x x)))) (sqrt.f64 (PI.f64)))))
▶	29.4%	(fabs.f64 (.f64 (/.f64 (.f64 (*.f64 x x) #s(literal 2/3 binary64)) (sqrt.f64 (PI.f64))) x))
	92.3%	(fabs.f64 (.f64 (/.f64 x (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (*.f64 x x)))))))
✓	69.2%	(fabs.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x))

Compiler

Compiled 352 to 255 computations (27.6% saved)

simplify151.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

2676×	`-lowering-.f32`
2676×	`-lowering-.f64`
1408×	`associate-r`
910×	`associate-l`
864×	`*-commutative`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	36	297
1	106	268
2	290	260
3	695	256
4	1559	256
5	1941	252
6	2066	252
7	2165	252
8	2260	252
9	2283	252
10	2353	252
11	2435	252
12	2477	252
13	2477	252
14	2590	252
15	2591	252
16	2591	252
17	2995	252
18	3101	252
19	3103	252
20	3103	252
0	3103	252

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize265.0ms (2.1%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (sqrt.f64 (PI.f64)))
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	99.7%	(.f64 #s(literal 2/3 binary64) (.f64 x x))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (*.f64 x x)))))))
✓	accuracy	99.3%	(/.f64 (sqrt.f64 (PI.f64)) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (*.f64 x x)))))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	99.9%	(.f64 (/.f64 (.f64 (*.f64 x x) #s(literal 2/3 binary64)) (sqrt.f64 (PI.f64))) x)
✓	accuracy	99.8%	(/.f64 (.f64 (.f64 x x) #s(literal 2/3 binary64)) (sqrt.f64 (PI.f64)))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 2/3 binary64))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.3%	(/.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	99.8%	(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))))) (sqrt.f64 (PI.f64)))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/5 binary64))
✓	accuracy	99.7%	(.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64))))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))

Results

202.0ms

256×

valid

Compiler

Compiled 312 to 37 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-mult: 27.0ms (45.3% of total)

...c/correct-round.rkt:119:19: 10.0ms (16.8% of total)

ival-div: 9.0ms (15.1% of total)

ival-fabs: 5.0ms (8.4% of total)

ival-add: 4.0ms (6.7% of total)

ival-sqrt: 2.0ms (3.4% of total)

ival-pi: 1.0ms (1.7% of total)

const: 1.0ms (1.7% of total)

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

series47.0ms (0.4%)

Counts

25 → 276

Calls

Call 1

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

Outputs
#<alt (* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2))))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2))))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2))))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2))))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))>
#<alt (fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2)))))))>
#<alt (fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2)))))))>
#<alt (fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2)))))))>
#<alt (fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2)))))))>
#<alt (fabs (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))>
#<alt (fabs (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))>
#<alt (fabs (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))>
#<alt (fabs (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))>
#<alt (fabs (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))>
#<alt (fabs (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))>
#<alt (fabs (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))>
#<alt (fabs (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))>
#<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 (* 1/5 (pow x 2))))))>
#<alt (* 1/5 (pow x 5))>
#<alt (* (pow x 5) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (* 1/5 (pow x 5))>
#<alt (* (pow x 5) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/5)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/5)))>
#<alt 2>
#<alt (+ 2 (* 2/3 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2)))))>
#<alt (* 1/5 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (* 1/5 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (* 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 (* 2/3 (* (pow x 3) (sqrt (/ 1 (PI))))))>
#<alt (fabs (* 2/3 (* (pow x 3) (sqrt (/ 1 (PI))))))>
#<alt (fabs (* 2/3 (* (pow x 3) (sqrt (/ 1 (PI))))))>
#<alt (fabs (* 2/3 (* (pow x 3) (sqrt (/ 1 (PI))))))>
#<alt (fabs (* 2/3 (* (pow x 3) (sqrt (/ 1 (PI))))))>
#<alt (fabs (* 2/3 (* (pow x 3) (sqrt (/ 1 (PI))))))>
#<alt (fabs (* 2/3 (* (pow x 3) (sqrt (/ 1 (PI))))))>
#<alt (fabs (* 2/3 (* (pow x 3) (sqrt (/ 1 (PI))))))>
#<alt (fabs (* 2/3 (* (pow x 3) (sqrt (/ 1 (PI))))))>
#<alt (fabs (* 2/3 (* (pow x 3) (sqrt (/ 1 (PI))))))>
#<alt (fabs (* 2/3 (* (pow x 3) (sqrt (/ 1 (PI))))))>
#<alt (fabs (* 2/3 (* (pow x 3) (sqrt (/ 1 (PI))))))>
#<alt (* 2/3 (* (pow x 3) (sqrt (/ 1 (PI)))))>
#<alt (* 2/3 (* (pow x 3) (sqrt (/ 1 (PI)))))>
#<alt (* 2/3 (* (pow x 3) (sqrt (/ 1 (PI)))))>
#<alt (* 2/3 (* (pow x 3) (sqrt (/ 1 (PI)))))>
#<alt (* 2/3 (* (pow x 3) (sqrt (/ 1 (PI)))))>
#<alt (* 2/3 (* (pow x 3) (sqrt (/ 1 (PI)))))>
#<alt (* 2/3 (* (pow x 3) (sqrt (/ 1 (PI)))))>
#<alt (* 2/3 (* (pow x 3) (sqrt (/ 1 (PI)))))>
#<alt (* 2/3 (* (pow x 3) (sqrt (/ 1 (PI)))))>
#<alt (* 2/3 (* (pow x 3) (sqrt (/ 1 (PI)))))>
#<alt (* 2/3 (* (pow x 3) (sqrt (/ 1 (PI)))))>
#<alt (* 2/3 (* (pow x 3) (sqrt (/ 1 (PI)))))>
#<alt (* 2/3 (* (pow x 2) (sqrt (/ 1 (PI)))))>
#<alt (* 2/3 (* (pow x 2) (sqrt (/ 1 (PI)))))>
#<alt (* 2/3 (* (pow x 2) (sqrt (/ 1 (PI)))))>
#<alt (* 2/3 (* (pow x 2) (sqrt (/ 1 (PI)))))>
#<alt (* 2/3 (* (pow x 2) (sqrt (/ 1 (PI)))))>
#<alt (* 2/3 (* (pow x 2) (sqrt (/ 1 (PI)))))>
#<alt (* 2/3 (* (pow x 2) (sqrt (/ 1 (PI)))))>
#<alt (* 2/3 (* (pow x 2) (sqrt (/ 1 (PI)))))>
#<alt (* 2/3 (* (pow x 2) (sqrt (/ 1 (PI)))))>
#<alt (* 2/3 (* (pow x 2) (sqrt (/ 1 (PI)))))>
#<alt (* 2/3 (* (pow x 2) (sqrt (/ 1 (PI)))))>
#<alt (* 2/3 (* (pow x 2) (sqrt (/ 1 (PI)))))>
#<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 (fabs (* (/ 1 (* x (+ 2 (* 2/3 (pow x 2))))) (sqrt (PI)))))>
#<alt (/ 1 (fabs (* (/ 1 (* x (+ 2 (* 2/3 (pow x 2))))) (sqrt (PI)))))>
#<alt (/ 1 (fabs (* (/ 1 (* x (+ 2 (* 2/3 (pow x 2))))) (sqrt (PI)))))>
#<alt (/ 1 (fabs (* (/ 1 (* x (+ 2 (* 2/3 (pow x 2))))) (sqrt (PI)))))>
#<alt (/ 1 (fabs (* (/ 1 (* x (+ 2 (* 2/3 (pow x 2))))) (sqrt (PI)))))>
#<alt (/ 1 (fabs (* (/ 1 (* x (+ 2 (* 2/3 (pow x 2))))) (sqrt (PI)))))>
#<alt (/ 1 (fabs (* (/ 1 (* x (+ 2 (* 2/3 (pow x 2))))) (sqrt (PI)))))>
#<alt (/ 1 (fabs (* (/ 1 (* x (+ 2 (* 2/3 (pow x 2))))) (sqrt (PI)))))>
#<alt (/ 1 (fabs (* (/ 1 (* x (+ 2 (* 2/3 (pow x 2))))) (sqrt (PI)))))>
#<alt (/ 1 (fabs (* (/ 1 (* x (+ 2 (* 2/3 (pow x 2))))) (sqrt (PI)))))>
#<alt (/ 1 (fabs (* (/ 1 (* x (+ 2 (* 2/3 (pow x 2))))) (sqrt (PI)))))>
#<alt (/ 1 (fabs (* (/ 1 (* x (+ 2 (* 2/3 (pow x 2))))) (sqrt (PI)))))>
#<alt (fabs (* (/ 1 (* x (+ 2 (* 2/3 (pow x 2))))) (sqrt (PI))))>
#<alt (fabs (* (/ 1 (* x (+ 2 (* 2/3 (pow x 2))))) (sqrt (PI))))>
#<alt (fabs (* (/ 1 (* x (+ 2 (* 2/3 (pow x 2))))) (sqrt (PI))))>
#<alt (fabs (* (/ 1 (* x (+ 2 (* 2/3 (pow x 2))))) (sqrt (PI))))>
#<alt (fabs (* (/ 1 (* x (+ 2 (* 2/3 (pow x 2))))) (sqrt (PI))))>
#<alt (fabs (* (/ 1 (* x (+ 2 (* 2/3 (pow x 2))))) (sqrt (PI))))>
#<alt (fabs (* (/ 1 (* x (+ 2 (* 2/3 (pow x 2))))) (sqrt (PI))))>
#<alt (fabs (* (/ 1 (* x (+ 2 (* 2/3 (pow x 2))))) (sqrt (PI))))>
#<alt (fabs (* (/ 1 (* x (+ 2 (* 2/3 (pow x 2))))) (sqrt (PI))))>
#<alt (fabs (* (/ 1 (* x (+ 2 (* 2/3 (pow x 2))))) (sqrt (PI))))>
#<alt (fabs (* (/ 1 (* x (+ 2 (* 2/3 (pow x 2))))) (sqrt (PI))))>
#<alt (fabs (* (/ 1 (* x (+ 2 (* 2/3 (pow x 2))))) (sqrt (PI))))>
#<alt (* 1/2 (* (/ 1 x) (sqrt (PI))))>
#<alt (/ (+ (* -1/6 (* (pow x 2) (sqrt (PI)))) (* 1/2 (sqrt (PI)))) x)>
#<alt (/ (+ (* 1/2 (sqrt (PI))) (* (pow x 2) (+ (* -1/6 (sqrt (PI))) (* 1/18 (* (pow x 2) (sqrt (PI))))))) x)>
#<alt (/ (+ (* 1/2 (sqrt (PI))) (* (pow x 2) (+ (* -1/6 (sqrt (PI))) (* (pow x 2) (+ (* -1/54 (* (pow x 2) (sqrt (PI)))) (* 1/18 (sqrt (PI)))))))) x)>
#<alt (* 3/2 (* (/ 1 (pow x 3)) (sqrt (PI))))>
#<alt (/ (+ (* -9/2 (* (/ 1 (pow x 2)) (sqrt (PI)))) (* 3/2 (sqrt (PI)))) (pow x 3))>
#<alt (/ (+ (* -9/2 (* (/ 1 (pow x 2)) (sqrt (PI)))) (+ (* 3/2 (sqrt (PI))) (* 27/2 (* (/ 1 (pow x 4)) (sqrt (PI)))))) (pow x 3))>
#<alt (/ (+ (* -81/2 (* (/ 1 (pow x 6)) (sqrt (PI)))) (+ (* -9/2 (* (/ 1 (pow x 2)) (sqrt (PI)))) (+ (* 3/2 (sqrt (PI))) (* 27/2 (* (/ 1 (pow x 4)) (sqrt (PI))))))) (pow x 3))>
#<alt (* 3/2 (* (/ 1 (pow x 3)) (sqrt (PI))))>
#<alt (* -1 (/ (+ (* -3/2 (sqrt (PI))) (* 9/2 (* (/ 1 (pow x 2)) (sqrt (PI))))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -27/2 (* (/ 1 (pow x 4)) (sqrt (PI)))) (+ (* -3/2 (sqrt (PI))) (* 9/2 (* (/ 1 (pow x 2)) (sqrt (PI)))))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -27/2 (* (/ 1 (pow x 4)) (sqrt (PI)))) (+ (* -3/2 (sqrt (PI))) (+ (* 9/2 (* (/ 1 (pow x 2)) (sqrt (PI)))) (* 81/2 (* (/ 1 (pow x 6)) (sqrt (PI))))))) (pow x 3)))>
#<alt (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI))))>
#<alt (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI))))>
#<alt (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI))))>
#<alt (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI))))>
#<alt (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI))))>
#<alt (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI))))>
#<alt (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI))))>
#<alt (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI))))>
#<alt (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI))))>
#<alt (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI))))>
#<alt (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI))))>
#<alt (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI))))>
#<alt (* x (fabs x))>
#<alt (* x (fabs x))>
#<alt (* x (fabs x))>
#<alt (* x (fabs x))>
#<alt (* x (fabs x))>
#<alt (* x (fabs x))>
#<alt (* x (fabs x))>
#<alt (* x (fabs x))>
#<alt (* x (fabs x))>
#<alt (* x (fabs x))>
#<alt (* x (fabs x))>
#<alt (* x (fabs x))>
#<alt (* 2/3 (pow x 2))>
#<alt (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2))))>
#<alt (* 1/5 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* 1/5 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 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 (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (* (pow x 5) (sqrt (/ 1 (PI))))>
#<alt (* (pow x 5) (sqrt (/ 1 (PI))))>
#<alt (* (pow x 5) (sqrt (/ 1 (PI))))>
#<alt (* (pow x 5) (sqrt (/ 1 (PI))))>
#<alt (* (pow x 5) (sqrt (/ 1 (PI))))>
#<alt (* (pow x 5) (sqrt (/ 1 (PI))))>
#<alt (* (pow x 5) (sqrt (/ 1 (PI))))>
#<alt (* (pow x 5) (sqrt (/ 1 (PI))))>
#<alt (* (pow x 5) (sqrt (/ 1 (PI))))>
#<alt (* (pow x 5) (sqrt (/ 1 (PI))))>
#<alt (* (pow x 5) (sqrt (/ 1 (PI))))>
#<alt (* (pow x 5) (sqrt (/ 1 (PI))))>

Calls

69 calls:

Time	Variable		Point	Expression
24.0ms	x	@	-inf	(/ 1 (fabs (/ (sqrt (PI)) (* x (+ 2 (* 2/3 (* x x)))))))
6.0ms	x	@	0	(/ 1 (fabs (/ (sqrt (PI)) (* x (+ 2 (* 2/3 (* x x)))))))
4.0ms	x	@	0	(fabs (/ (sqrt (PI)) (* x (+ 2 (* 2/3 (* x x))))))
1.0ms	x	@	inf	(/ 1 (fabs (/ (sqrt (PI)) (* x (+ 2 (* 2/3 (* x x)))))))
1.0ms	x	@	inf	(/ (fabs (* x (+ 2 (* (* x x) (+ 2/3 (* (* x x) 1/5)))))) (sqrt (PI)))

rewrite519.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

4216×	`-lowering-.f32`
4216×	`-lowering-.f64`
3550×	`/-lowering-/.f32`
3550×	`/-lowering-/.f64`
1370×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	227
1	211	196
2	1456	196
0	8173	196

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 754

Calls

Call 1

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

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

simplify287.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

3386×	`-lowering-.f32`
3386×	`-lowering-.f64`
2180×	`fma-lowering-fma.f32`
2180×	`fma-lowering-fma.f64`
1756×	`fnmadd-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	141	2573
1	395	2423
2	1240	2405
3	3624	2393
4	6623	2393
0	8334	2393

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

Inputs
(* (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)))))))
(fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2)))))))
(fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2)))))))
(fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2)))))))
(fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2)))))))
(fabs (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))
(fabs (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))
(fabs (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))
(fabs (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))
(fabs (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))
(fabs (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))
(fabs (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))
(fabs (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))
(* 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 (* 1/5 (pow x 2))))))
(* 1/5 (pow x 5))
(* (pow x 5) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* (pow x 5) (+ 1/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/5 (pow x 5))
(* (pow x 5) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/5)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/5)))
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)))))
(* 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 (* 2/3 (* (pow x 3) (sqrt (/ 1 (PI))))))
(fabs (* 2/3 (* (pow x 3) (sqrt (/ 1 (PI))))))
(fabs (* 2/3 (* (pow x 3) (sqrt (/ 1 (PI))))))
(fabs (* 2/3 (* (pow x 3) (sqrt (/ 1 (PI))))))
(fabs (* 2/3 (* (pow x 3) (sqrt (/ 1 (PI))))))
(fabs (* 2/3 (* (pow x 3) (sqrt (/ 1 (PI))))))
(fabs (* 2/3 (* (pow x 3) (sqrt (/ 1 (PI))))))
(fabs (* 2/3 (* (pow x 3) (sqrt (/ 1 (PI))))))
(fabs (* 2/3 (* (pow x 3) (sqrt (/ 1 (PI))))))
(fabs (* 2/3 (* (pow x 3) (sqrt (/ 1 (PI))))))
(fabs (* 2/3 (* (pow x 3) (sqrt (/ 1 (PI))))))
(fabs (* 2/3 (* (pow x 3) (sqrt (/ 1 (PI))))))
(* 2/3 (* (pow x 3) (sqrt (/ 1 (PI)))))
(* 2/3 (* (pow x 3) (sqrt (/ 1 (PI)))))
(* 2/3 (* (pow x 3) (sqrt (/ 1 (PI)))))
(* 2/3 (* (pow x 3) (sqrt (/ 1 (PI)))))
(* 2/3 (* (pow x 3) (sqrt (/ 1 (PI)))))
(* 2/3 (* (pow x 3) (sqrt (/ 1 (PI)))))
(* 2/3 (* (pow x 3) (sqrt (/ 1 (PI)))))
(* 2/3 (* (pow x 3) (sqrt (/ 1 (PI)))))
(* 2/3 (* (pow x 3) (sqrt (/ 1 (PI)))))
(* 2/3 (* (pow x 3) (sqrt (/ 1 (PI)))))
(* 2/3 (* (pow x 3) (sqrt (/ 1 (PI)))))
(* 2/3 (* (pow x 3) (sqrt (/ 1 (PI)))))
(* 2/3 (* (pow x 2) (sqrt (/ 1 (PI)))))
(* 2/3 (* (pow x 2) (sqrt (/ 1 (PI)))))
(* 2/3 (* (pow x 2) (sqrt (/ 1 (PI)))))
(* 2/3 (* (pow x 2) (sqrt (/ 1 (PI)))))
(* 2/3 (* (pow x 2) (sqrt (/ 1 (PI)))))
(* 2/3 (* (pow x 2) (sqrt (/ 1 (PI)))))
(* 2/3 (* (pow x 2) (sqrt (/ 1 (PI)))))
(* 2/3 (* (pow x 2) (sqrt (/ 1 (PI)))))
(* 2/3 (* (pow x 2) (sqrt (/ 1 (PI)))))
(* 2/3 (* (pow x 2) (sqrt (/ 1 (PI)))))
(* 2/3 (* (pow x 2) (sqrt (/ 1 (PI)))))
(* 2/3 (* (pow x 2) (sqrt (/ 1 (PI)))))
(* 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 (fabs (* (/ 1 (* x (+ 2 (* 2/3 (pow x 2))))) (sqrt (PI)))))
(/ 1 (fabs (* (/ 1 (* x (+ 2 (* 2/3 (pow x 2))))) (sqrt (PI)))))
(/ 1 (fabs (* (/ 1 (* x (+ 2 (* 2/3 (pow x 2))))) (sqrt (PI)))))
(/ 1 (fabs (* (/ 1 (* x (+ 2 (* 2/3 (pow x 2))))) (sqrt (PI)))))
(/ 1 (fabs (* (/ 1 (* x (+ 2 (* 2/3 (pow x 2))))) (sqrt (PI)))))
(/ 1 (fabs (* (/ 1 (* x (+ 2 (* 2/3 (pow x 2))))) (sqrt (PI)))))
(/ 1 (fabs (* (/ 1 (* x (+ 2 (* 2/3 (pow x 2))))) (sqrt (PI)))))
(/ 1 (fabs (* (/ 1 (* x (+ 2 (* 2/3 (pow x 2))))) (sqrt (PI)))))
(/ 1 (fabs (* (/ 1 (* x (+ 2 (* 2/3 (pow x 2))))) (sqrt (PI)))))
(/ 1 (fabs (* (/ 1 (* x (+ 2 (* 2/3 (pow x 2))))) (sqrt (PI)))))
(/ 1 (fabs (* (/ 1 (* x (+ 2 (* 2/3 (pow x 2))))) (sqrt (PI)))))
(/ 1 (fabs (* (/ 1 (* x (+ 2 (* 2/3 (pow x 2))))) (sqrt (PI)))))
(fabs (* (/ 1 (* x (+ 2 (* 2/3 (pow x 2))))) (sqrt (PI))))
(fabs (* (/ 1 (* x (+ 2 (* 2/3 (pow x 2))))) (sqrt (PI))))
(fabs (* (/ 1 (* x (+ 2 (* 2/3 (pow x 2))))) (sqrt (PI))))
(fabs (* (/ 1 (* x (+ 2 (* 2/3 (pow x 2))))) (sqrt (PI))))
(fabs (* (/ 1 (* x (+ 2 (* 2/3 (pow x 2))))) (sqrt (PI))))
(fabs (* (/ 1 (* x (+ 2 (* 2/3 (pow x 2))))) (sqrt (PI))))
(fabs (* (/ 1 (* x (+ 2 (* 2/3 (pow x 2))))) (sqrt (PI))))
(fabs (* (/ 1 (* x (+ 2 (* 2/3 (pow x 2))))) (sqrt (PI))))
(fabs (* (/ 1 (* x (+ 2 (* 2/3 (pow x 2))))) (sqrt (PI))))
(fabs (* (/ 1 (* x (+ 2 (* 2/3 (pow x 2))))) (sqrt (PI))))
(fabs (* (/ 1 (* x (+ 2 (* 2/3 (pow x 2))))) (sqrt (PI))))
(fabs (* (/ 1 (* x (+ 2 (* 2/3 (pow x 2))))) (sqrt (PI))))
(* 1/2 (* (/ 1 x) (sqrt (PI))))
(/ (+ (* -1/6 (* (pow x 2) (sqrt (PI)))) (* 1/2 (sqrt (PI)))) x)
(/ (+ (* 1/2 (sqrt (PI))) (* (pow x 2) (+ (* -1/6 (sqrt (PI))) (* 1/18 (* (pow x 2) (sqrt (PI))))))) x)
(/ (+ (* 1/2 (sqrt (PI))) (* (pow x 2) (+ (* -1/6 (sqrt (PI))) (* (pow x 2) (+ (* -1/54 (* (pow x 2) (sqrt (PI)))) (* 1/18 (sqrt (PI)))))))) x)
(* 3/2 (* (/ 1 (pow x 3)) (sqrt (PI))))
(/ (+ (* -9/2 (* (/ 1 (pow x 2)) (sqrt (PI)))) (* 3/2 (sqrt (PI)))) (pow x 3))
(/ (+ (* -9/2 (* (/ 1 (pow x 2)) (sqrt (PI)))) (+ (* 3/2 (sqrt (PI))) (* 27/2 (* (/ 1 (pow x 4)) (sqrt (PI)))))) (pow x 3))
(/ (+ (* -81/2 (* (/ 1 (pow x 6)) (sqrt (PI)))) (+ (* -9/2 (* (/ 1 (pow x 2)) (sqrt (PI)))) (+ (* 3/2 (sqrt (PI))) (* 27/2 (* (/ 1 (pow x 4)) (sqrt (PI))))))) (pow x 3))
(* 3/2 (* (/ 1 (pow x 3)) (sqrt (PI))))
(* -1 (/ (+ (* -3/2 (sqrt (PI))) (* 9/2 (* (/ 1 (pow x 2)) (sqrt (PI))))) (pow x 3)))
(* -1 (/ (+ (* -27/2 (* (/ 1 (pow x 4)) (sqrt (PI)))) (+ (* -3/2 (sqrt (PI))) (* 9/2 (* (/ 1 (pow x 2)) (sqrt (PI)))))) (pow x 3)))
(* -1 (/ (+ (* -27/2 (* (/ 1 (pow x 4)) (sqrt (PI)))) (+ (* -3/2 (sqrt (PI))) (+ (* 9/2 (* (/ 1 (pow x 2)) (sqrt (PI)))) (* 81/2 (* (/ 1 (pow x 6)) (sqrt (PI))))))) (pow x 3)))
(* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))
(* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI))))
(* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI))))
(* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI))))
(* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI))))
(* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI))))
(* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI))))
(* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI))))
(* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI))))
(* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI))))
(* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI))))
(* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI))))
(* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI))))
(* x (fabs x))
(* x (fabs x))
(* x (fabs x))
(* x (fabs x))
(* x (fabs x))
(* x (fabs x))
(* x (fabs x))
(* x (fabs x))
(* x (fabs x))
(* x (fabs x))
(* x (fabs x))
(* x (fabs x))
(* 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))
(* 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))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* (pow x 5) (sqrt (/ 1 (PI))))
(* (pow x 5) (sqrt (/ 1 (PI))))
(* (pow x 5) (sqrt (/ 1 (PI))))
(* (pow x 5) (sqrt (/ 1 (PI))))
(* (pow x 5) (sqrt (/ 1 (PI))))
(* (pow x 5) (sqrt (/ 1 (PI))))
(* (pow x 5) (sqrt (/ 1 (PI))))
(* (pow x 5) (sqrt (/ 1 (PI))))
(* (pow x 5) (sqrt (/ 1 (PI))))
(* (pow x 5) (sqrt (/ 1 (PI))))
(* (pow x 5) (sqrt (/ 1 (PI))))
(* (pow x 5) (sqrt (/ 1 (PI))))

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

eval207.0ms (1.7%)

Compiler: Compiled 29413 to 3540 computations (88% saved)

prune185.0ms (1.5%)

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	1350	9	1359
Fresh	4	1	5
Picked	1	4	5
Done	0	2	2
Total	1355	16	1371

Accuracy

100.0%

Counts

1371 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	69.0%	(/.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
	29.7%	(/.f64 (fabs.f64 (.f64 (.f64 (*.f64 x x) #s(literal -2/3 binary64)) x)) (sqrt.f64 (PI.f64)))
✓	95.8%	(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))))) (sqrt.f64 (PI.f64)))
	92.6%	(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 2/3 binary64))))) (sqrt.f64 (PI.f64)))
✓	99.4%	(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))) (sqrt.f64 (PI.f64)))
	32.4%	(/.f64 (fabs.f64 (.f64 x (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))) (sqrt.f64 (PI.f64)))
	68.7%	(/.f64 #s(literal 2 binary64) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) x)))
	29.7%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (fabs.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 2/3 binary64))))))
	67.9%	(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64)))) x)))
	29.4%	(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 (/.f64 (sqrt.f64 (PI.f64)) x) x)) x)))
	35.9%	(.f64 (.f64 #s(literal 1/21 binary64) x) (/.f64 (fabs.f64 x) (/.f64 (/.f64 (sqrt.f64 (PI.f64)) x) (.f64 x (.f64 x (*.f64 x x))))))
	29.7%	(.f64 (fabs.f64 (.f64 x (*.f64 x x))) (/.f64 #s(literal 2/3 binary64) (sqrt.f64 (PI.f64))))
✓	35.8%	(.f64 #s(literal 1/21 binary64) (.f64 (.f64 x (fabs.f64 x)) (/.f64 (.f64 x (.f64 x (.f64 x (*.f64 x x)))) (sqrt.f64 (PI.f64)))))
	92.3%	(fabs.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 2/3 binary64))) (/.f64 (sqrt.f64 (PI.f64)) x)))
✓	29.4%	(fabs.f64 (.f64 (/.f64 (.f64 (*.f64 x x) #s(literal 2/3 binary64)) (sqrt.f64 (PI.f64))) x))
✓	69.2%	(fabs.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x))

Compiler

Compiled 824 to 355 computations (56.9% saved)

regimes65.0ms (0.5%)

Counts

34 → 1

Calls

Call 1

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

Calls

5 calls:

17.0ms	x
16.0ms	(+.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))))
9.0ms	(.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)))))
9.0ms	(fabs.f64 x)
9.0ms	(fabs.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (.f64 #s(literal 2 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))))

Results

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

Compiler

Compiled 202 to 81 computations (59.9% saved)

regimes21.0ms (0.2%)

Counts

33 → 1

Calls

Call 1

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

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:

9.0ms	(fabs.f64 x)
9.0ms	x

Results

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

Compiler

Compiled 5 to 3 computations (40% saved)

regimes31.0ms (0.3%)

Counts

27 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

21.0ms	(fabs.f64 x)
7.0ms	x

Results

Accuracy	Segments	Branch
99.9%	2	`x`
99.9%	2	`(fabs.f64 x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes28.0ms (0.2%)

Counts

22 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

6.0ms	(fabs.f64 x)
6.0ms	x

Results

Accuracy	Segments	Branch
99.9%	2	`x`
99.9%	2	`(fabs.f64 x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes14.0ms (0.1%)

Counts

20 → 1

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	(fabs.f64 x)
6.0ms	x

Results

Accuracy	Segments	Branch
96.3%	1	`x`
96.3%	1	`(fabs.f64 x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes17.0ms (0.1%)

Counts

19 → 2

Calls

Call 1

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

Outputs

(fabs.f64 (*.f64 (*.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))

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

Calls

2 calls:

6.0ms	(fabs.f64 x)
5.0ms	x

Results

Accuracy	Segments	Branch
96.1%	2	`x`
96.1%	2	`(fabs.f64 x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes12.0ms (0.1%)

Counts

17 → 1

Calls

Call 1

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

Outputs
(fabs.f64 (.f64 (.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))

Calls

2 calls:

5.0ms	(fabs.f64 x)
5.0ms	x

Results

Accuracy	Segments	Branch
92.8%	1	`x`
92.8%	1	`(fabs.f64 x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes10.0ms (0.1%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	(fabs.f64 x)
4.0ms	x

Results

Accuracy	Segments	Branch
92.8%	1	`x`
92.8%	1	`(fabs.f64 x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes11.0ms (0.1%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	x
3.0ms	(fabs.f64 x)

Results

Accuracy	Segments	Branch
92.7%	2	`x`
92.7%	2	`(fabs.f64 x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes6.0ms (0%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
2.0ms	(fabs.f64 x)

Results

Accuracy	Segments	Branch
92.4%	2	`x`
92.4%	2	`(fabs.f64 x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes5.0ms (0%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	(fabs.f64 x)
2.0ms	x

Results

Accuracy	Segments	Branch
69.5%	1	`x`
69.5%	1	`(fabs.f64 x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes4.0ms (0%)

Accuracy

Total -0.4b remaining (-2.2%)

Threshold costs -0.4b (-2.2%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

2.0ms	(fabs.f64 x)
2.0ms	x

Results

Accuracy	Segments	Branch
69.2%	1	`x`
69.2%	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	0.004811710235932228	921617815.4936006

Compiler

Compiled 57 to 31 computations (45.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.004811710235932228	921617815.4936006

Compiler

Compiled 57 to 31 computations (45.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.004811710235932228	921617815.4936006

Compiler

Compiled 57 to 31 computations (45.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.004811710235932228	921617815.4936006

Compiler

Compiled 57 to 31 computations (45.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.004811710235932228	921617815.4936006

Compiler

Compiled 57 to 31 computations (45.6% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

80×	`*-commutative_binary64`
62×	`fabs-mul_binary64`
18×	`+-commutative_binary64`
12×	`fabs-div_binary64`
2×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	316
1	170	316
2	203	316
3	209	316

Stop Event

1×

saturated

Calls

Call 1

Inputs
(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))))))
(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))
(if (<=.f64 (fabs.f64 x) #s(literal 5764607523034235/1152921504606846976 binary64)) (fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64))))) (sqrt.f64 (PI.f64))) x)) (.f64 (.f64 #s(literal 1/21 binary64) x) (/.f64 (fabs.f64 x) (/.f64 (/.f64 (sqrt.f64 (PI.f64)) x) (.f64 x (.f64 x (.f64 x x)))))))
(if (<=.f64 (fabs.f64 x) #s(literal 5764607523034235/1152921504606846976 binary64)) (fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64))))) (sqrt.f64 (PI.f64))) x)) (.f64 #s(literal 1/21 binary64) (.f64 (.f64 x (fabs.f64 x)) (/.f64 (.f64 x (.f64 x (.f64 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 (*.f64 x x) #s(literal 1/5 binary64))))) (sqrt.f64 (PI.f64))) x))
(if (<=.f64 (fabs.f64 x) #s(literal 5764607523034235/1152921504606846976 binary64)) (fabs.f64 (.f64 (.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)) (/.f64 (fabs.f64 (.f64 x (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))) (sqrt.f64 (PI.f64))))
(fabs.f64 (.f64 (.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))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64)))) (sqrt.f64 (PI.f64))) x))
(if (<=.f64 (fabs.f64 x) #s(literal 5764607523034235/1152921504606846976 binary64)) (fabs.f64 (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x)) (.f64 (fabs.f64 (.f64 x (.f64 x x))) (/.f64 #s(literal 2/3 binary64) (sqrt.f64 (PI.f64)))))
(if (<=.f64 (fabs.f64 x) #s(literal 5764607523034235/1152921504606846976 binary64)) (fabs.f64 (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x)) (fabs.f64 (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 2/3 binary64)) (sqrt.f64 (PI.f64))) x)))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x #s(literal 2 binary64))))
(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 (+.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))))))
(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)) (fabs.f64 (.f64 x (.f64 x x))))) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (fabs.f64 (.f64 x (.f64 x x))))))) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (fabs.f64 (.f64 x (*.f64 x x)))))))))))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.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)))))
(if (<=.f64 (fabs.f64 x) #s(literal 5764607523034235/1152921504606846976 binary64)) (fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64))))) (sqrt.f64 (PI.f64))) x)) (.f64 (.f64 #s(literal 1/21 binary64) x) (/.f64 (fabs.f64 x) (/.f64 (/.f64 (sqrt.f64 (PI.f64)) x) (.f64 x (.f64 x (.f64 x x)))))))
(if (<=.f64 (fabs.f64 x) #s(literal 5764607523034235/1152921504606846976 binary64)) (fabs.f64 (.f64 x (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64))))) (sqrt.f64 (PI.f64))))) (.f64 (.f64 x #s(literal 1/21 binary64)) (/.f64 (fabs.f64 x) (/.f64 (/.f64 (sqrt.f64 (PI.f64)) x) (.f64 x (.f64 x (.f64 x x)))))))
(if (<=.f64 (fabs.f64 x) #s(literal 5764607523034235/1152921504606846976 binary64)) (fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64))))) (sqrt.f64 (PI.f64))) x)) (.f64 #s(literal 1/21 binary64) (.f64 (.f64 x (fabs.f64 x)) (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (sqrt.f64 (PI.f64))))))
(if (<=.f64 (fabs.f64 x) #s(literal 5764607523034235/1152921504606846976 binary64)) (fabs.f64 (.f64 x (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64))))) (sqrt.f64 (PI.f64))))) (.f64 #s(literal 1/21 binary64) (.f64 (.f64 x (fabs.f64 x)) (/.f64 (.f64 x (.f64 x (.f64 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 (*.f64 x x) #s(literal 1/5 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 (*.f64 x x) #s(literal 1/5 binary64))))) (sqrt.f64 (PI.f64)))))
(if (<=.f64 (fabs.f64 x) #s(literal 5764607523034235/1152921504606846976 binary64)) (fabs.f64 (.f64 (.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)) (/.f64 (fabs.f64 (.f64 x (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))) (sqrt.f64 (PI.f64))))
(if (<=.f64 (fabs.f64 x) #s(literal 5764607523034235/1152921504606846976 binary64)) (fabs.f64 (.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))))))) (/.f64 (fabs.f64 (.f64 x (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))) (sqrt.f64 (PI.f64))))
(fabs.f64 (.f64 (.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))
(fabs.f64 (.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 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64)))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 x (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64)))) (sqrt.f64 (PI.f64)))))
(if (<=.f64 (fabs.f64 x) #s(literal 5764607523034235/1152921504606846976 binary64)) (fabs.f64 (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x)) (.f64 (fabs.f64 (.f64 x (.f64 x x))) (/.f64 #s(literal 2/3 binary64) (sqrt.f64 (PI.f64)))))
(if (<=.f64 (fabs.f64 x) #s(literal 5764607523034235/1152921504606846976 binary64)) (fabs.f64 (.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))) (.f64 (fabs.f64 (.f64 x (.f64 x x))) (/.f64 #s(literal 2/3 binary64) (sqrt.f64 (PI.f64)))))
(if (<=.f64 (fabs.f64 x) #s(literal 5764607523034235/1152921504606846976 binary64)) (fabs.f64 (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) x)) (fabs.f64 (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 2/3 binary64)) (sqrt.f64 (PI.f64))) x)))
(if (<=.f64 (fabs.f64 x) #s(literal 5764607523034235/1152921504606846976 binary64)) (fabs.f64 (.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))) (fabs.f64 (.f64 x (/.f64 (.f64 (.f64 x x) #s(literal 2/3 binary64)) (sqrt.f64 (PI.f64))))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x #s(literal 2 binary64))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 2 binary64) x)))
(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)))))

soundness3.0s (24%)

Rules

5234×	`-lowering-.f32`
5234×	`-lowering-.f64`
5096×	`-lowering-.f32`
5096×	`-lowering-.f64`
4734×	`-lowering-.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	227
1	211	196
2	1456	196
0	8173	196
0	36	298
1	219	257
2	1659	253
0	8415	253
0	40	272
1	228	230
2	1654	230
0	8456	230
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	138	2540
1	457	2425
2	1559	2362
3	4534	2304
4	7369	2288
0	8214	2288
0	117	2856
1	395	2627
2	1251	2606
3	4053	2596
0	8515	2596
0	41	260
1	238	206
2	2233	195
0	8258	195
0	182	3281
1	638	3037
2	2237	2950
3	5120	2906
0	8503	2906
0	141	2573
1	395	2423
2	1240	2405
3	3624	2393
4	6623	2393
0	8334	2393

Stop Event

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

Compiler

Compiled 617 to 321 computations (48% saved)

preprocess108.0ms (0.9%)

Remove: (abs x)
Compiler: Compiled 1762 to 708 computations (59.8% saved)

analyze0.0ms (0%)

sample2.3s (18.7%)

preprocess302.0ms (2.4%)

explain246.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify250.0ms (2%)

localize212.0ms (1.7%)

series25.0ms (0.2%)

rewrite427.0ms (3.4%)

simplify243.0ms (1.9%)

eval267.0ms (2.1%)

prune136.0ms (1.1%)

simplify182.0ms (1.5%)

localize230.0ms (1.8%)

series20.0ms (0.2%)

rewrite418.0ms (3.4%)

simplify257.0ms (2.1%)

eval272.0ms (2.2%)

prune207.0ms (1.7%)

simplify131.0ms (1%)

localize230.0ms (1.8%)

series12.0ms (0.1%)

rewrite422.0ms (3.4%)

simplify258.0ms (2.1%)

eval210.0ms (1.7%)

prune181.0ms (1.5%)

simplify151.0ms (1.2%)

localize265.0ms (2.1%)

series47.0ms (0.4%)

rewrite519.0ms (4.2%)

simplify287.0ms (2.3%)

eval207.0ms (1.7%)

prune185.0ms (1.5%)

regimes65.0ms (0.5%)

regimes21.0ms (0.2%)

regimes31.0ms (0.3%)

regimes28.0ms (0.2%)

regimes14.0ms (0.1%)

regimes17.0ms (0.1%)

regimes12.0ms (0.1%)

regimes10.0ms (0.1%)

regimes11.0ms (0.1%)

regimes6.0ms (0%)

regimes5.0ms (0%)

regimes4.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify15.0ms (0.1%)

soundness3.0s (24%)

preprocess108.0ms (0.9%)

end0.0ms (0%)

Profiling