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)

sample2.1s (16.8%)

Results

1.7s

8256×

valid

Precisions

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

ival-mult: 579.0ms (43.7% of total)

ival-div: 302.0ms (22.8% of total)

ival-add: 130.0ms (9.8% of total)

ival-fabs: 121.0ms (9.1% of total)

ival-sqrt: 63.0ms (4.8% of total)

ival-pi: 52.0ms (3.9% of total)

ival-<=: 46.0ms (3.5% of total)

const: 27.0ms (2% of total)

backward-pass: 4.0ms (0.3% of total)

Bogosity

preprocess349.0ms (2.8%)

Algorithm

2×	egg-herbie

Rules

5234×	`-lowering-.f32`
5234×	`-lowering-.f64`
2426×	`distribute-lft-out`
2240×	`+-lowering-+.f64`
2240×	`+-lowering-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	118
1	173	94
2	406	73
3	2136	70
4	6858	70
0	31	39
1	79	31
2	264	24
3	1294	23
4	2627	23
5	4584	23
6	5672	23
7	5942	23
8	5970	23
9	5972	23
10	5972	23
11	7673	23
12	7818	23
13	7919	23
0	8043	23

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

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) (+ (fma 2/3 (square x) 2) (fma 1/21 (pow x 6) (* 1/5 (pow x 4)))))))
(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) (+ (fma 2/3 (square x) 2) (fma 1/21 (pow x 6) (* 1/5 (pow x 4)))))))
(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) (+ (fma 2/3 (square x) 2) (fma 1/21 (pow x 6) (* 1/5 (pow x 4))))))))

Symmetry

(abs x)

explain310.0ms (2.5%)

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

183.0ms

512×

valid

Compiler

Compiled 880 to 86 computations (90.2% saved)

Precisions

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

ival-mult: 33.0ms (46.8% of total)

ival-div: 17.0ms (24.1% of total)

ival-add: 7.0ms (9.9% of total)

ival-fabs: 5.0ms (7.1% of total)

ival-sqrt: 4.0ms (5.7% of total)

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

const: 2.0ms (2.8% of total)

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

eval0.0ms (0%)

Compiler: Compiled 27 to 19 computations (29.6% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

99.4%

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

▶

99.8%

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

Compiler

Compiled 95 to 47 computations (50.5% saved)

simplify187.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fabs.f64 x)
✓	cost-diff	0	(/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))
✓	cost-diff	0	(.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))
✓	cost-diff	0	(fabs.f64 (.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))))))
✓	cost-diff	7040	(+.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	12800	(.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))
✓	cost-diff	12800	(.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))
✓	cost-diff	12800	(*.f64 (fabs.f64 x) (fabs.f64 x))

Rules

3436×	`-lowering-.f32`
3436×	`-lowering-.f64`
2776×	`+-lowering-+.f64`
2776×	`+-lowering-+.f32`
2462×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	401
1	129	327
2	461	264
3	1932	253
4	3686	253
5	5615	253
6	7438	253
0	8036	253

Stop Event

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

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

localize231.0ms (1.8%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))
✓	accuracy	99.6%	(.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	99.3%	(.f64 (.f64 x x) #s(literal 1/21 binary64))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	99.9%	(.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))
✓	accuracy	99.9%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))
✓	accuracy	99.7%	(.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))

Results

143.0ms

256×

valid

Compiler

Compiled 562 to 43 computations (92.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-mult: 25.0ms (42.1% of total)

...c/correct-round.rkt:119:19: 10.0ms (16.9% of total)

ival-div: 9.0ms (15.2% of total)

ival-add: 7.0ms (11.8% of total)

ival-fabs: 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)

series23.0ms (0.2%)

Counts

14 → 156

Calls

Call 1

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

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

Calls

39 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(+ (+ (+ (* 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	(* (/ (fabs x) (sqrt (PI))) (+ 2 (* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21))))))))
3.0ms	x	@	0	(+ (+ (+ (* 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))))
2.0ms	x	@	inf	(+ (+ (+ (* 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) (sqrt (PI))) (+ 2 (* x (* x (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21))))))))

rewrite407.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3860×	`-lowering-.f32`
3860×	`-lowering-.f64`
2420×	`/-lowering-/.f32`
2420×	`/-lowering-/.f64`
2002×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	137
1	224	112
2	2034	107
0	8277	107

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 542

Calls

Call 1

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

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

simplify289.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

4512×	`-lowering-.f32`
4512×	`-lowering-.f64`
2898×	`+-lowering-+.f64`
2898×	`+-lowering-+.f32`
1520×	`fma-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	112	1554
1	351	1439
2	1173	1355
3	4038	1301
4	7447	1297
0	8030	1297

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

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

eval270.0ms (2.2%)

Compiler: Compiled 86523 to 5267 computations (93.9% saved)

prune117.0ms (0.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	1325	10	1335
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	1327	10	1337

Accuracy

100.0%

Counts

1337 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.f64 (.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) (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))))))))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
	74.8%	(fabs.f64 (.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 x (/.f64 (.f64 (-.f64 #s(literal 4/9 binary64) (.f64 (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x (.f64 x x))) (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x)))))) x) (-.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))))))))))
▶	99.4%	(fabs.f64 (.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x #s(literal 1/21 binary64)) x)))))))))
	93.4%	(fabs.f64 (.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64)))))))))
	88.2%	(fabs.f64 (.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64))))))
	98.4%	(fabs.f64 (.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 #s(literal 1/21 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))))))
▶	67.5%	(fabs.f64 (.f64 (.f64 (fabs.f64 x) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
	36.9%	(fabs.f64 (.f64 (fabs.f64 x) (.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
▶	93.9%	(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 (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64))))))))))
▶	88.7%	(fabs.f64 (.f64 (fabs.f64 x) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64)))))))

Compiler

Compiled 466 to 328 computations (29.6% saved)

simplify220.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

3744×	`-lowering-.f32`
3744×	`-lowering-.f64`
3172×	`+-lowering-+.f64`
3172×	`+-lowering-+.f32`
1686×	`sum4-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	52	473
1	165	423
2	491	423
3	1298	423
4	3228	423
5	4827	423
6	7678	423
0	8346	423

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize348.0ms (2.8%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))
✓	accuracy	99.6%	(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x #s(literal 1/21 binary64)) x)))))
✓	accuracy	99.3%	(*.f64 x #s(literal 1/21 binary64))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/5 binary64)))
✓	accuracy	99.8%	(.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64))))))
✓	accuracy	99.6%	(*.f64 x #s(literal 1/5 binary64))
✓	accuracy	99.5%	(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64)))))
✓	accuracy	99.9%	(.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	99.8%	(.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))))))
✓	accuracy	99.7%	(.f64 x (.f64 x #s(literal 2/3 binary64)))
✓	accuracy	99.4%	(*.f64 x #s(literal 2/3 binary64))
✓	accuracy	100.0%	(fabs.f64 (.f64 (.f64 (fabs.f64 x) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.9%	(.f64 (.f64 (fabs.f64 x) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
✓	accuracy	99.9%	(.f64 (.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) (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))))))))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
✓	accuracy	99.7%	(.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))))
✓	accuracy	99.7%	(.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))))))
✓	accuracy	99.3%	(.f64 #s(literal 1/21 binary64) (.f64 x x))

Results

254.0ms

256×

valid

Compiler

Compiled 550 to 53 computations (90.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 103.0ms

ival-mult: 59.0ms (57.1% of total)

ival-add: 11.0ms (10.6% of total)

...c/correct-round.rkt:119:19: 10.0ms (9.7% of total)

ival-fabs: 8.0ms (7.7% of total)

ival-pow: 6.0ms (5.8% of total)

ival-div: 4.0ms (3.9% of total)

ival-sqrt: 4.0ms (3.9% of total)

ival-pi: 1.0ms (1% of total)

const: 1.0ms (1% of total)

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

series23.0ms (0.2%)

Counts

29 → 324

Calls

Call 1

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

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

Calls

81 calls:

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

rewrite405.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3268×	`-lowering-.f32`
3268×	`-lowering-.f64`
2514×	`fma-lowering-fma.f32`
2514×	`fma-lowering-fma.f64`
1984×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	52	295
1	335	256
2	2349	254
0	8600	254

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 1032

Calls

Call 1

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

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

simplify307.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

4374×	`-lowering-.f32`
4374×	`-lowering-.f64`
2820×	`+-lowering-+.f64`
2820×	`+-lowering-+.f32`
1286×	`sum4-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	167	4034
1	579	3461
2	1907	3350
3	3807	3285
4	6724	3267
0	8215	3267

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

Calls

Call 1

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

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

eval236.0ms (1.9%)

Compiler: Compiled 50306 to 4529 computations (91% saved)

prune155.0ms (1.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	1648	8	1656
Fresh	4	1	5
Picked	5	0	5
Done	0	0	0
Total	1657	9	1666

Accuracy

100.0%

Counts

1666 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.1%	(/.f64 (*.f64 (fabs.f64 x) #s(literal 2 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 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))))))) (sqrt.f64 (PI.f64)))
	66.8%	(/.f64 #s(literal 2 binary64) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) x)))
	99.5%	(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))))))
▶	99.9%	(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))))))))))
▶	67.5%	(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (fabs.f64 x))
▶	93.9%	(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64)))))) (sqrt.f64 (PI.f64))) x))
	88.7%	(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sqrt.f64 (PI.f64))) x))
▶	98.4%	(fabs.f64 (.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 #s(literal 1/21 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))))))

Compiler

Compiled 326 to 248 computations (23.9% saved)

simplify226.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

3694×	`fma-define`
2056×	`fma-lowering-fma.f32`
2056×	`fma-lowering-fma.f64`
1842×	`-lowering-.f32`
1842×	`-lowering-.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	43	380
1	124	331
2	334	320
3	787	312
4	1717	312
5	2781	312
6	3760	312
7	4382	312
8	4745	312
9	4945	312
10	5113	312
11	5113	312
12	5817	312
13	5893	312
14	5893	312
15	5946	312
16	6034	312
0	6034	312

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize262.0ms (2.1%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 #s(literal 1/21 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.6%	(/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/5 binary64)))
✓	accuracy	99.7%	(.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64)))))
✓	accuracy	99.6%	(*.f64 x #s(literal 1/5 binary64))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.6%	(/.f64 (*.f64 (fabs.f64 x) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	100.0%	(fabs.f64 x)
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.9%	(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (fabs.f64 x))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	99.8%	(.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))))))
✓	accuracy	99.7%	(.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 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))
✓	accuracy	99.3%	(.f64 (.f64 x x) #s(literal 1/21 binary64))

Results

180.0ms

256×

valid

Compiler

Compiled 437 to 44 computations (89.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-mult: 30.0ms (43.3% of total)

...c/correct-round.rkt:119:19: 11.0ms (15.9% of total)

ival-div: 7.0ms (10.1% of total)

ival-add: 7.0ms (10.1% of total)

ival-pow: 6.0ms (8.7% of total)

ival-fabs: 5.0ms (7.2% of total)

ival-sqrt: 2.0ms (2.9% of total)

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

const: 1.0ms (1.4% of total)

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

series13.0ms (0.1%)

Counts

26 → 264

Calls

Call 1

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

Calls

66 calls:

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

rewrite485.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3922×	`-lowering-.f32`
3922×	`-lowering-.f64`
2948×	`/-lowering-/.f32`
2948×	`/-lowering-/.f64`
2238×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	241
1	254	211
2	1995	205
0	9193	205

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 842

Calls

Call 1

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

Outputs
(.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))))))))) (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 (.f64 x 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 (/.f64 x (sqrt.f64 (PI.f64)))) (fabs.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))
(.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) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))))))))
(.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (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)))))))))))
(.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) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))))) (pow.f64 (PI.f64) #s(literal -1/4 binary64))) (pow.f64 (PI.f64) #s(literal -1/4 binary64)))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (PI.f64))))
(exp.f64 (.f64 (.f64 (log.f64 (PI.f64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (PI.f64))) #s(literal -1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (PI.f64)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 (PI.f64)) #s(literal -1/4 binary64)) (.f64 (log.f64 (PI.f64)) #s(literal -1/4 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1/2 binary64))))
(fabs.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(fabs.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))))
(pow.f64 (PI.f64) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal -3/2 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))
(pow.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -1/6 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (PI.f64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (PI.f64) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/8 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/6 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/6 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal -1 binary64)) (pow.f64 (PI.f64) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) #s(literal -1/4 binary64)) (pow.f64 (PI.f64) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal -1/4 binary64)) (pow.f64 (PI.f64) #s(literal -1/8 binary64)))
(.f64 (pow.f64 (.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal -1/4 binary64)) (pow.f64 (PI.f64) #s(literal -1/12 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal -1/12 binary64)) #s(literal 2 binary64)))
(*.f64 (fabs.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64))) (fabs.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal -1 binary64))) (fabs.f64 (pow.f64 (PI.f64) #s(literal -1/6 binary64))))
(PI.f64)
(log.f64 (exp.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (.f64 (.f64 (log.f64 (PI.f64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (PI.f64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/3 binary64)))
(fabs.f64 (PI.f64))
(-.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1 binary64))
(sqrt.f64 (*.f64 (PI.f64) (PI.f64)))
(cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))
(expm1.f64 (log1p.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(pow.f64 (PI.f64) #s(literal 1 binary64))
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(.f64 (.f64 x #s(literal 1/21 binary64)) (.f64 x (.f64 x (*.f64 x x))))
(.f64 (.f64 #s(literal 1/21 binary64) (.f64 x (.f64 x (*.f64 x x)))) x)

simplify288.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

4510×	`-lowering-.f32`
4510×	`-lowering-.f64`
1564×	`fma-define`
1480×	`+-lowering-+.f64`
1480×	`+-lowering-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	139	2904
1	478	2539
2	1507	2439
3	4664	2387
0	8633	2387

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

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

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

eval232.0ms (1.9%)

Compiler: Compiled 39602 to 4206 computations (89.4% saved)

prune188.0ms (1.5%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	1391	10	1401
Fresh	1	3	4
Picked	3	2	5
Done	0	0	0
Total	1395	15	1410

Accuracy

100.0%

Counts

1410 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.1%	(/.f64 (*.f64 (fabs.f64 x) #s(literal 2 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 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))))))) (sqrt.f64 (PI.f64)))
▶	66.8%	(/.f64 #s(literal 2 binary64) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) x)))
	93.5%	(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64))))))))))
	98.8%	(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 (.f64 x x) (.f64 #s(literal 1/21 binary64) (.f64 x (.f64 x x)))))))))
▶	99.9%	(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x #s(literal 1/21 binary64)) x)))))))))))
	99.2%	(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 #s(literal 1/21 binary64) (.f64 x (.f64 x x)))))))))))
	88.7%	(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64)))))))
✓	67.5%	(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (fabs.f64 x))
▶	93.9%	(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64))))) x)) (sqrt.f64 (PI.f64))) x))
▶	66.6%	(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 x x))))) (sqrt.f64 (PI.f64))) x))
	93.9%	(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))
	88.7%	(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sqrt.f64 (PI.f64))) x))
▶	31.7%	(fabs.f64 (.f64 (/.f64 (.f64 x (.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 (PI.f64))) x))
	93.4%	(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64)))))) (/.f64 x (sqrt.f64 (PI.f64)))))

Compiler

Compiled 536 to 394 computations (26.5% saved)

simplify207.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))))) (sqrt.f64 (PI.f64)))
✓	cost-diff	0	(.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 x x))))) (sqrt.f64 (PI.f64))) x)
✓	cost-diff	0	(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 x x))))) (sqrt.f64 (PI.f64))) x))
✓	cost-diff	256	(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))))
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) (.f64 (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64))))) x))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64))))) x)) (sqrt.f64 (PI.f64)))
✓	cost-diff	0	(.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64))))) x)) (sqrt.f64 (PI.f64))) x)
✓	cost-diff	0	(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64))))) x)) (sqrt.f64 (PI.f64))) x))
✓	cost-diff	0	(.f64 x (.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x x))))
✓	cost-diff	0	(/.f64 (.f64 x (.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x x)))) (sqrt.f64 (PI.f64)))
✓	cost-diff	0	(.f64 (/.f64 (.f64 x (.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 (PI.f64))) x)
✓	cost-diff	0	(fabs.f64 (.f64 (/.f64 (.f64 x (.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 (PI.f64))) x))
✓	cost-diff	0	(sqrt.f64 (PI.f64))
✓	cost-diff	0	(/.f64 (sqrt.f64 (PI.f64)) x)
✓	cost-diff	0	(fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) x))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) x)))
✓	cost-diff	0	(fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x #s(literal 1/21 binary64)) x))))))))))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(pow.f64 (PI.f64) #s(literal -1/2 binary64))
✓	cost-diff	0	(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x #s(literal 1/21 binary64)) x)))))))))))

Rules

5186×	`-lowering-.f32`
5186×	`-lowering-.f64`
1982×	`fma-define`
1234×	`fma-lowering-fma.f32`
1234×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	442
1	137	388
2	366	370
3	914	366
4	1994	366
5	3433	366
6	4887	366
7	5612	366
8	6161	366
0	8104	366

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize279.0ms (2.2%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.3%	(/.f64 #s(literal 2/3 binary64) (*.f64 x x))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	53.6%	(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))))
✓	accuracy	99.8%	(.f64 (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64))))) x)
✓	accuracy	99.6%	(*.f64 x #s(literal 1/5 binary64))
✓	accuracy	99.5%	(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64)))))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	99.9%	(/.f64 (.f64 x (.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x x)))) (sqrt.f64 (PI.f64)))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x x)))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.5%	(/.f64 (sqrt.f64 (PI.f64)) x)
✓	accuracy	99.3%	(/.f64 #s(literal 2 binary64) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) x)))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	99.8%	(.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x #s(literal 1/21 binary64)) x)))))))
✓	accuracy	99.7%	(.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x #s(literal 1/21 binary64)) x)))
✓	accuracy	99.6%	(.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x #s(literal 1/21 binary64)) x))))))
✓	accuracy	99.3%	(*.f64 x #s(literal 1/21 binary64))

Results

187.0ms

256×

valid

Compiler

Compiled 510 to 49 computations (90.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-mult: 32.0ms (40.2% of total)

ival-div: 10.0ms (12.6% of total)

ival-add: 10.0ms (12.6% of total)

...c/correct-round.rkt:119:19: 10.0ms (12.6% of total)

ival-pow: 8.0ms (10.1% of total)

ival-fabs: 6.0ms (7.5% of total)

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

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

const: 1.0ms (1.3% of total)

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

series21.0ms (0.2%)

Counts

30 → 324

Calls

Call 1

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

Calls

81 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	(* (/ (* x (* 1/5 (* x (* x x)))) (sqrt (PI))) x)
3.0ms	x	@	inf	(* (/ (* x (* 1/5 (* x (* x x)))) (sqrt (PI))) x)
1.0ms	x	@	0	(/ (sqrt (PI)) x)
1.0ms	x	@	0	(/ (* x (* 1/5 (* x (* x x)))) (sqrt (PI)))
0.0ms	x	@	-inf	(/ 2 (fabs (/ (sqrt (PI)) x)))

rewrite408.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3264×	`-lowering-.f32`
3264×	`-lowering-.f64`
2914×	`/-lowering-/.f32`
2914×	`/-lowering-/.f64`
1828×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	48	312
1	295	269
2	2336	256
0	8416	256

Stop Event

1×	iter limit
1×	node limit

Counts

30 → 633

Calls

Call 1

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

Outputs
(.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x)))))) (.f64 x x))))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x)))))) (.f64 x x)))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x)))))) (.f64 x x))))))
(.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x)))))) (*.f64 x x)))))))
(.f64 (fabs.f64 (/.f64 x (sqrt.f64 (PI.f64)))) (fabs.f64 (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x)))))) (*.f64 x x)))))
(.f64 (.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x)))))) (*.f64 x x))))) (pow.f64 (PI.f64) #s(literal -1/4 binary64))) (pow.f64 (PI.f64) #s(literal -1/4 binary64)))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (PI.f64))))
(exp.f64 (.f64 (.f64 (log.f64 (PI.f64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (PI.f64))) #s(literal -1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (PI.f64)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 (PI.f64)) #s(literal -1/4 binary64)) (.f64 (log.f64 (PI.f64)) #s(literal -1/4 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1/2 binary64))))
(fabs.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(fabs.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))))
(pow.f64 (PI.f64) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal -3/2 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))
(pow.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -1/6 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (PI.f64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (PI.f64) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/8 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/6 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/6 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal -1 binary64)) (pow.f64 (PI.f64) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) #s(literal -1/4 binary64)) (pow.f64 (PI.f64) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal -1/4 binary64)) (pow.f64 (PI.f64) #s(literal -1/8 binary64)))
(.f64 (pow.f64 (.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal -1/4 binary64)) (pow.f64 (PI.f64) #s(literal -1/12 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal -1/12 binary64)) #s(literal 2 binary64)))
(*.f64 (fabs.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64))) (fabs.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal -1 binary64))) (fabs.f64 (pow.f64 (PI.f64) #s(literal -1/6 binary64))))
(PI.f64)
(log.f64 (exp.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (.f64 (.f64 (log.f64 (PI.f64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (PI.f64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/3 binary64)))
(fabs.f64 (PI.f64))
(fabs.f64 (*.f64 (sqrt.f64 (PI.f64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))))
(fabs.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
(-.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1 binary64))
(sqrt.f64 (*.f64 (PI.f64) (PI.f64)))
(cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))
(expm1.f64 (log1p.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(pow.f64 (PI.f64) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(*.f64 (PI.f64) #s(literal 1 binary64))
(*.f64 (PI.f64) (log.f64 (E.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64)))))
(*.f64 #s(literal 1 binary64) (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (cbrt.f64 (PI.f64)))
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(-.f64 (/.f64 (.f64 (.f64 x #s(literal 2/3 binary64)) (.f64 x #s(literal 2/3 binary64))) (-.f64 (.f64 x #s(literal 2/3 binary64)) (.f64 x (.f64 x (.f64 x #s(literal 1/5 binary64)))))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/5 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal 1/5 binary64))))) (-.f64 (.f64 x #s(literal 2/3 binary64)) (.f64 x (.f64 x (.f64 x #s(literal 1/5 binary64)))))))
(fma.f64 x #s(literal 2/3 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 1/5 binary64)))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/5 binary64))) (*.f64 x #s(literal 2/3 binary64)))
(fma.f64 #s(literal 2/3 binary64) x (.f64 x (.f64 x (*.f64 x #s(literal 1/5 binary64)))))
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(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 2/3 binary64) x))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
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(pow.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal 2/3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
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(.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 x x)))
(.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 2/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2/3 binary64) x))
(*.f64 (/.f64 #s(literal 2/3 binary64) x) (/.f64 #s(literal 1 binary64) x))

simplify426.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

4506×	`-lowering-.f32`
4506×	`-lowering-.f64`
1618×	`+-lowering-+.f64`
1618×	`+-lowering-+.f32`
1538×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	135	3678
1	462	3150
2	1487	3020
3	4703	2970
0	8548	2970

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

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

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

eval202.0ms (1.6%)

Compiler: Compiled 31389 to 3834 computations (87.8% saved)

prune139.0ms (1.1%)

Pruning

21 alts after pruning (15 fresh and 6 done)

	Pruned	Kept	Total
New	1229	11	1240
Fresh	4	4	8
Picked	1	4	5
Done	0	2	2
Total	1234	21	1255

Accuracy

100.0%

Counts

1255 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.1%	(/.f64 (*.f64 (fabs.f64 x) #s(literal 2 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 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))))))) (sqrt.f64 (PI.f64)))
	31.7%	(/.f64 (fabs.f64 (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/5 binary64))))))) (sqrt.f64 (PI.f64)))
	66.8%	(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 x (sqrt.f64 (PI.f64))))))
	66.7%	(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))))
✓	66.8%	(/.f64 #s(literal 2 binary64) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) x)))
	31.7%	(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/5 binary64)))))))))
	88.7%	(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 2/3 binary64))))))
	98.8%	(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 (.f64 x x) (.f64 #s(literal 1/21 binary64) (.f64 x (.f64 x x)))))))))
✓	99.9%	(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x #s(literal 1/21 binary64)) x)))))))))))
	98.8%	(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x (.f64 #s(literal 1/21 binary64) (.f64 x (.f64 x x))))))))))
✓	67.5%	(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (fabs.f64 x))
	93.9%	(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (+.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/5 binary64)))) (.f64 x #s(literal 2/3 binary64))) x)) (sqrt.f64 (PI.f64))) x))
✓	93.9%	(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64))))) x)) (sqrt.f64 (PI.f64))) x))
	93.9%	(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))
	88.7%	(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sqrt.f64 (PI.f64))) x))
	88.7%	(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x #s(literal 2/3 binary64)) x)) (sqrt.f64 (PI.f64))) x))
	31.7%	(fabs.f64 (.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (*.f64 x #s(literal 1/5 binary64))) (sqrt.f64 (PI.f64))) x))
✓	31.7%	(fabs.f64 (.f64 (/.f64 (.f64 x (.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 (PI.f64))) x))
	31.7%	(fabs.f64 (.f64 (.f64 (.f64 x (.f64 x (*.f64 x #s(literal 1/5 binary64)))) (/.f64 x (sqrt.f64 (PI.f64)))) x))
	31.7%	(fabs.f64 (.f64 (.f64 x x) (/.f64 (.f64 x (.f64 x (*.f64 x #s(literal 1/5 binary64)))) (sqrt.f64 (PI.f64)))))

Compiler

Compiled 1162 to 501 computations (56.9% saved)

regimes63.0ms (0.5%)

Counts

41 → 1

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (fabs.f64 x))
(/.f64 #s(literal 2 binary64) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) x)))
(/.f64 (*.f64 (fabs.f64 x) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 x (sqrt.f64 (PI.f64))))))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x #s(literal 2/3 binary64)) x)) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sqrt.f64 (PI.f64))) x))
(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64)))))))
(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 2/3 binary64))))))
(fabs.f64 (.f64 (.f64 x x) (/.f64 (.f64 x (.f64 x (*.f64 x #s(literal 1/5 binary64)))) (sqrt.f64 (PI.f64)))))
(fabs.f64 (.f64 (.f64 (.f64 x (.f64 x (*.f64 x #s(literal 1/5 binary64)))) (/.f64 x (sqrt.f64 (PI.f64)))) x))
(fabs.f64 (.f64 (/.f64 (.f64 x (.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (*.f64 x #s(literal 1/5 binary64))) (sqrt.f64 (PI.f64))) x))
(/.f64 (fabs.f64 (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/5 binary64))))))) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/5 binary64)))))))))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64)))))) (/.f64 x (sqrt.f64 (PI.f64)))))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64)))))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64))))) x)) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (+.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/5 binary64)))) (.f64 x #s(literal 2/3 binary64))) x)) (sqrt.f64 (PI.f64))) x))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64))))))))))
(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x (.f64 #s(literal 1/21 binary64) (.f64 x (.f64 x x))))))))))
(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 (.f64 x x) (.f64 #s(literal 1/21 binary64) (.f64 x (.f64 x x)))))))))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 x x))))) (sqrt.f64 (PI.f64))) x))
(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 #s(literal 1/21 binary64) (.f64 x (.f64 x x)))))))))))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.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 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x #s(literal 1/21 binary64)) x)))))))))))
(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))))))))))
(fabs.f64 (.f64 (.f64 (fabs.f64 x) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(fabs.f64 (.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64))))))
(fabs.f64 (.f64 (fabs.f64 x) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64)))))))
(fabs.f64 (.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64)))))))))
(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 (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64))))))))))
(fabs.f64 (.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 #s(literal 1/21 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))))))
(fabs.f64 (.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x #s(literal 1/21 binary64)) x)))))))))
(fabs.f64 (.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))))))
(.f64 (.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) (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))))))))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))))))
(fabs.f64 (.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 x (/.f64 (.f64 (-.f64 #s(literal 4/9 binary64) (.f64 (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))) (.f64 x (.f64 x x))) (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x)))))) x) (-.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))))))))))
(fabs.f64 (.f64 (fabs.f64 x) (.f64 (*.f64 #s(literal 1/21 binary64) (pow.f64 x #s(literal 6 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (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

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

Calls

5 calls:

13.0ms	(fabs.f64 x)
13.0ms	(.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)))))
11.0ms	x
11.0ms	(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))))))
11.0ms	(+.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))))

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)

regimes18.0ms (0.1%)

Counts

26 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

8.0ms	x
7.0ms	(fabs.f64 x)

Results

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

Compiler

Compiled 5 to 3 computations (40% saved)

regimes31.0ms (0.3%)

Counts

25 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

22.0ms	x
7.0ms	(fabs.f64 x)

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`(fabs.f64 x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes16.0ms (0.1%)

Counts

24 → 1

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	(fabs.f64 x)
7.0ms	x

Results

Accuracy	Segments	Branch
98.8%	1	`x`
98.8%	1	`(fabs.f64 x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes43.0ms (0.3%)

Counts

21 → 1

Calls

Call 1

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

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

Calls

2 calls:

35.0ms	(fabs.f64 x)
6.0ms	x

Results

Accuracy	Segments	Branch
93.9%	1	`x`
93.9%	1	`(fabs.f64 x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes11.0ms (0.1%)

Counts

16 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	x
5.0ms	(fabs.f64 x)

Results

Accuracy	Segments	Branch
93.4%	1	`x`
93.4%	1	`(fabs.f64 x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes14.0ms (0.1%)

Counts

15 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

8.0ms	(fabs.f64 x)
5.0ms	x

Results

Accuracy	Segments	Branch
93.9%	2	`x`
93.9%	2	`(fabs.f64 x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes9.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	(fabs.f64 x)
3.0ms	x

Results

Accuracy	Segments	Branch
88.7%	1	`x`
88.7%	1	`(fabs.f64 x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes5.0ms (0%)

Accuracy

Total -0.7b remaining (-3.2%)

Threshold costs -0.7b (-3.2%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	(fabs.f64 x)
2.0ms	x

Results

Accuracy	Segments	Branch
67.5%	1	`x`
67.5%	1	`(fabs.f64 x)`

Compiler

Compiled 5 to 3 computations (40% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.4811872093385705	34234730.08421297

Compiler

Compiled 57 to 31 computations (45.6% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

72×	`*-commutative_binary64`
50×	`fabs-mul_binary64`
24×	`+-commutative_binary64`
8×	`fabs-div_binary64`
2×	`fabs-fabs_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	188
1	141	188
2	158	188
3	163	188
4	166	188
5	169	188

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness2.9s (22.9%)

Rules

5234×	`-lowering-.f32`
5234×	`-lowering-.f64`
4512×	`-lowering-.f32`
4512×	`-lowering-.f64`
4510×	`-lowering-.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	139	2904
1	478	2539
2	1507	2439
3	4664	2387
0	8633	2387
0	135	3678
1	462	3150
2	1487	3020
3	4703	2970
0	8548	2970
0	52	295
1	335	256
2	2349	254
0	8600	254
0	39	137
1	224	112
2	2034	107
0	8277	107
0	112	1554
1	351	1439
2	1173	1355
3	4038	1301
4	7447	1297
0	8030	1297
0	43	241
1	254	211
2	1995	205
0	9193	205
0	31	39
1	79	31
2	264	24
3	1294	23
4	2627	23
5	4584	23
6	5672	23
7	5942	23
8	5970	23
9	5972	23
10	5972	23
11	7673	23
12	7818	23
13	7919	23
0	8043	23
0	48	312
1	295	269
2	2336	256
0	8416	256

Stop Event

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

Compiler

Compiled 432 to 258 computations (40.3% saved)

preprocess61.0ms (0.5%)

Remove: (abs x)
Compiler: Compiled 838 to 446 computations (46.8% saved)

analyze0.0ms (0%)

sample2.1s (16.8%)

preprocess349.0ms (2.8%)

explain310.0ms (2.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify187.0ms (1.5%)

localize231.0ms (1.8%)

series23.0ms (0.2%)

rewrite407.0ms (3.2%)

simplify289.0ms (2.3%)

eval270.0ms (2.2%)

prune117.0ms (0.9%)

simplify220.0ms (1.8%)

localize348.0ms (2.8%)

series23.0ms (0.2%)

rewrite405.0ms (3.2%)

simplify307.0ms (2.5%)

eval236.0ms (1.9%)

prune155.0ms (1.2%)

simplify226.0ms (1.8%)

localize262.0ms (2.1%)

series13.0ms (0.1%)

rewrite485.0ms (3.9%)

simplify288.0ms (2.3%)

eval232.0ms (1.9%)

prune188.0ms (1.5%)

simplify207.0ms (1.7%)

localize279.0ms (2.2%)

series21.0ms (0.2%)

rewrite408.0ms (3.3%)

simplify426.0ms (3.4%)

eval202.0ms (1.6%)

prune139.0ms (1.1%)

regimes63.0ms (0.5%)

regimes18.0ms (0.1%)

regimes31.0ms (0.3%)

regimes16.0ms (0.1%)

regimes43.0ms (0.3%)

regimes11.0ms (0.1%)

regimes14.0ms (0.1%)

regimes9.0ms (0.1%)

regimes5.0ms (0%)

bsearch0.0ms (0%)

simplify15.0ms (0.1%)

soundness2.9s (22.9%)

preprocess61.0ms (0.5%)

end0.0ms (0%)

Profiling