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)

sample2.2s (19.1%)

Results

1.8s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.5s

ival-mult: 531.0ms (36.1% of total)

ival-fabs: 339.0ms (23.1% of total)

ival-div: 281.0ms (19.1% of total)

ival-add: 144.0ms (9.8% of total)

ival-sqrt: 70.0ms (4.8% of total)

ival-<=: 40.0ms (2.7% of total)

ival-pi: 35.0ms (2.4% of total)

const: 27.0ms (1.8% of total)

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

Bogosity

preprocess329.0ms (2.9%)

Algorithm

2×	egg-herbie

Rules

5262×	`-lowering-.f32`
5262×	`-lowering-.f64`
2414×	`distribute-lft-out`
2304×	`+-lowering-+.f64`
2304×	`+-lowering-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	118
1	173	94
2	396	73
3	1915	70
4	6384	70
0	31	39
1	79	31
2	261	24
3	1227	23
4	2530	23
5	4479	23
6	5565	23
7	5838	23
8	5866	23
9	5868	23
10	5868	23
11	7533	23
12	7677	23
13	7778	23
0	8018	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 (*.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)))))))))

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

Symmetry

(abs x)

explain375.0ms (3.3%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))`
0	-	-	`x`
0	-	-	`(+.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))))`
0	-	-	`(.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))`
0	-	-	`#s(literal 21 binary64)`
0	-	-	`(/.f64 #s(literal 2 binary64) #s(literal 3 binary64))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(*.f64 #s(literal 2 binary64) (fabs.f64 x))`
0	-	-	`(sqrt.f64 (PI.f64))`
0	-	-	`(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))`
0	-	-	`(fabs.f64 x)`
0	-	-	`(*.f64 (fabs.f64 x) (fabs.f64 x))`
0	-	-	`(/.f64 #s(literal 1 binary64) #s(literal 5 binary64))`
0	-	-	`(.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))`
0	-	-	`(PI.f64)`
0	-	-	(+.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))))
0	-	-	`(+.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))))`
0	-	-	`(.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)))`
0	-	-	`(.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))`
0	-	-	(.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)))))
0	-	-	`(.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))`
0	-	-	`(/.f64 #s(literal 1 binary64) #s(literal 21 binary64))`
0	-	-	`(.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))`
0	-	-	`#s(literal 3 binary64)`
0	-	-	(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))))))
0	-	-	`#s(literal 1 binary64)`
0	-	-	`#s(literal 5 binary64)`
0	-	-	`(.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

251.0ms

512×

valid

Compiler

Compiled 880 to 86 computations (90.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-mult: 32.0ms (37.5% of total)

ival-div: 20.0ms (23.5% of total)

ival-add: 20.0ms (23.5% of total)

ival-fabs: 5.0ms (5.9% of total)

ival-sqrt: 4.0ms (4.7% of total)

ival-pi: 2.0ms (2.3% of total)

const: 2.0ms (2.3% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

99.4%

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

▶

99.9%

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

Compiler

Compiled 95 to 46 computations (51.6% saved)

simplify185.0ms (1.6%)

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

3706×	`-lowering-.f32`
3706×	`-lowering-.f64`
2322×	`sum4-define`
1996×	`+-lowering-+.f64`
1996×	`+-lowering-+.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	41	388
1	127	291
2	481	253
3	2014	249
4	4306	249
5	6918	242
0	8112	242

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 x)
(+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21))))
2/3
(* (* x x) (+ 1/5 (* (* x x) 1/21)))
(+ 1/5 (* (* x x) 1/21))
1/5
(* (* x x) 1/21)
1/21

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

localize210.0ms (1.8%)

Localize:

Found 8 expressions of interest:

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

141.0ms

256×

valid

Compiler

Compiled 547 to 42 computations (92.3% saved)

Precisions

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

ival-mult: 24.0ms (37.6% of total)

...c/correct-round.rkt:119:19: 11.0ms (17.2% of total)

ival-add: 10.0ms (15.7% of total)

ival-div: 9.0ms (14.1% of total)

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

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

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

const: 1.0ms (1.6% of total)

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

series27.0ms (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 (sqrt (PI))) (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))>
#<alt (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))>
#<alt (* (* x x) 1/21)>
#<alt (* (* 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 (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))))>
#<alt (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))))>
#<alt (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))))>
#<alt (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))))>
#<alt (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))))>
#<alt (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))))>
#<alt (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))))>
#<alt (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))))>
#<alt (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))))>
#<alt (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))))>
#<alt (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))))>
#<alt (* (sqrt (/ 1 (PI))) (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x))))))>
#<alt (* 1/5 (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 (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))>
#<alt (* 1/21 (pow x 4))>
#<alt (* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 1/21 (pow x 4))>
#<alt (* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>

Calls

39 calls:

Time	Variable		Point	Expression
3.0ms	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	(+ (+ (+ (* 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	@	0	(* (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)))))))

rewrite293.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3834×	`-lowering-.f32`
3834×	`-lowering-.f64`
958×	`+-lowering-+.f64`
958×	`+-lowering-+.f32`
940×	`sum4-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	151
1	163	122
2	802	115
3	5321	115
0	8363	115

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 627

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 (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 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
(* (* x x) 1/21)
(* (* x x) (+ 1/5 (* (* x x) 1/21)))

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

simplify270.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

4578×	`-lowering-.f32`
4578×	`-lowering-.f64`
3074×	`+-lowering-+.f64`
3074×	`+-lowering-+.f32`
1412×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	96	1786
1	300	1675
2	1039	1582
3	3699	1526
4	6594	1526
0	8263	1526

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

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

eval216.0ms (1.9%)

Compiler: Compiled 66155 to 3877 computations (94.1% saved)

prune149.0ms (1.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	1290	7	1297
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	1291	8	1299

Accuracy

100.0%

Counts

1299 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(/.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 #s(literal 1/21 binary64) (.f64 x x))))))))) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) x)))
	99.4%	(/.f64 (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 #s(literal 1/21 binary64) (*.f64 x x)))))))))) (sqrt.f64 (PI.f64)))
▶	99.8%	(.f64 (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 #s(literal 1/21 binary64) (.f64 x x)))))))))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
✓	99.4%	(fabs.f64 (.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))
▶	98.5%	(fabs.f64 (.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (.f64 #s(literal 1/21 binary64) (*.f64 x x)))))))))
▶	94.9%	(fabs.f64 (.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.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))))))))
▶	69.5%	(fabs.f64 (.f64 (.f64 (fabs.f64 x) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
▶	90.6%	(fabs.f64 (.f64 (fabs.f64 x) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (.f64 x x))))))

Compiler

Compiled 339 to 248 computations (26.8% saved)

simplify228.0ms (2%)

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

Rules

4486×	`-lowering-.f32`
4486×	`-lowering-.f64`
2972×	`+-lowering-+.f64`
2972×	`+-lowering-+.f32`
2050×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	436
1	154	396
2	506	383
3	1327	383
4	2917	383
5	3903	383
6	5412	383
0	8356	383

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize341.0ms (3%)

Localize:

Found 20 expressions of interest:

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

234.0ms

256×

valid

Compiler

Compiled 507 to 48 computations (90.5% saved)

Precisions

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

ival-mult: 29.0ms (39.4% of total)

ival-fabs: 10.0ms (13.6% of total)

...c/correct-round.rkt:119:19: 10.0ms (13.6% of total)

ival-add: 9.0ms (12.2% of total)

ival-div: 5.0ms (6.8% of total)

ival-pow: 5.0ms (6.8% of total)

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

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

const: 1.0ms (1.4% of total)

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

series22.0ms (0.2%)

Counts

25 → 276

Calls

Call 1

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

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

Calls

69 calls:

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

rewrite289.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3820×	`-lowering-.f32`
3820×	`-lowering-.f64`
1980×	`fnmadd-define`
1514×	`/-lowering-/.f32`
1514×	`/-lowering-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	274
1	204	241
2	942	232
3	5816	232
0	8561	232

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 885

Calls

Call 1

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

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

simplify290.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

4700×	`-lowering-.f32`
4700×	`-lowering-.f64`
3542×	`+-lowering-+.f64`
3542×	`+-lowering-+.f32`
1490×	`distribute-rgt-in`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	176	3577
1	622	3127
2	1995	3025
3	3575	2967
4	5680	2951
0	8150	2951

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

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

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

eval224.0ms (2%)

Compiler: Compiled 38143 to 4114 computations (89.2% saved)

prune212.0ms (1.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	1644	7	1651
Fresh	2	0	2
Picked	4	1	5
Done	1	0	1
Total	1651	8	1659

Accuracy

100.0%

Counts

1659 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	69.0%	(/.f64 (*.f64 (fabs.f64 x) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))
	90.2%	(/.f64 (fabs.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (.f64 x x)))) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) x)))
	99.4%	(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))) (sqrt.f64 (PI.f64)))
▶	69.1%	(/.f64 #s(literal 2 binary64) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) x)))
▶	99.8%	(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))))))
▶	69.5%	(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (fabs.f64 x))
▶	90.6%	(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64))) x))
✓	98.5%	(fabs.f64 (.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (.f64 #s(literal 1/21 binary64) (*.f64 x x)))))))))

Compiler

Compiled 237 to 179 computations (24.5% saved)

simplify257.0ms (2.2%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

1620×	`fma-define`
1360×	`fma-lowering-fma.f32`
1360×	`fma-lowering-fma.f64`
542×	`-lowering-.f32`
542×	`-lowering-.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	252
1	81	228
2	212	228
3	519	228
4	1146	228
5	1766	228
6	2087	228
7	2117	228
8	2138	228
9	2140	228
0	2140	228

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize221.0ms (1.9%)

Localize:

Found 20 expressions of interest:

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

Results

162.0ms

256×

valid

Compiler

Compiled 284 to 34 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-mult: 24.0ms (31.1% of total)

ival-pow: 17.0ms (22% of total)

...c/correct-round.rkt:119:19: 11.0ms (14.3% of total)

ival-div: 8.0ms (10.4% of total)

ival-add: 7.0ms (9.1% of total)

ival-fabs: 5.0ms (6.5% of total)

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

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

const: 1.0ms (1.3% of total)

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

series9.0ms (0.1%)

Counts

22 → 216

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

Calls

54 calls:

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

rewrite292.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

2736×	`-lowering-.f32`
2736×	`-lowering-.f64`
1256×	`pow-lowering-pow.f64`
1256×	`pow-lowering-pow.f32`
814×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	170
1	141	153
2	622	153
3	2913	153
0	8214	153

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 794

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

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

simplify305.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

4684×	`-lowering-.f32`
4684×	`-lowering-.f64`
2030×	`/-lowering-/.f32`
2030×	`/-lowering-/.f64`
1692×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	101	2126
1	325	1806
2	971	1804
3	2949	1786
4	7244	1786
0	8154	1786

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

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

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

eval249.0ms (2.2%)

Compiler: Compiled 24948 to 3572 computations (85.7% saved)

prune191.0ms (1.7%)

Pruning

20 alts after pruning (16 fresh and 4 done)

	Pruned	Kept	Total
New	1512	15	1527
Fresh	1	1	2
Picked	1	4	5
Done	1	0	1
Total	1515	20	1535

Accuracy

100.0%

Counts

1535 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	69.0%	(/.f64 (*.f64 (fabs.f64 x) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))
	90.1%	(/.f64 (fabs.f64 (.f64 x (-.f64 #s(literal -2 binary64) (.f64 #s(literal 2/3 binary64) (*.f64 x x))))) (sqrt.f64 (PI.f64)))
	99.4%	(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))) (sqrt.f64 (PI.f64)))
	69.0%	(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 x (sqrt.f64 (PI.f64))))))
▶	69.0%	(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))))
✓	69.1%	(/.f64 #s(literal 2 binary64) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) x)))
	90.2%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (fabs.f64 (.f64 x (-.f64 #s(literal -2 binary64) (.f64 #s(literal 2/3 binary64) (*.f64 x x)))))))
	90.2%	(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (/.f64 (sqrt.f64 (PI.f64)) x) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (.f64 x x))))))
▶	95.4%	(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64))))))))
	90.6%	(.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))))))
✓	99.8%	(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))))))
	95.4%	(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))))))))
	98.9%	(.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 #s(literal 1/21 binary64) (.f64 x (.f64 x (.f64 x x)))))))))))
✓	69.5%	(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (fabs.f64 x))
▶	90.1%	(fabs.f64 (/.f64 (/.f64 x (sqrt.f64 (PI.f64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (.f64 #s(literal 2/3 binary64) (.f64 x x))))))
	90.1%	(fabs.f64 (/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (.f64 x x))))))
▶	90.6%	(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x #s(literal 2/3 binary64)) x)) (sqrt.f64 (PI.f64))) x))
	26.5%	(fabs.f64 (.f64 (/.f64 (.f64 (*.f64 x x) #s(literal 2/3 binary64)) (sqrt.f64 (PI.f64))) x))
▶	99.4%	(fabs.f64 (.f64 (/.f64 x (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))))))
	90.1%	(fabs.f64 (.f64 (/.f64 x (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (*.f64 x x)))))

Compiler

Compiled 591 to 454 computations (23.2% saved)

simplify177.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))))))
✓	cost-diff	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 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64))))))))
✓	cost-diff	0	(sqrt.f64 (PI.f64))
✓	cost-diff	0	(/.f64 x (sqrt.f64 (PI.f64)))
✓	cost-diff	0	(fabs.f64 (/.f64 (/.f64 x (sqrt.f64 (PI.f64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (.f64 #s(literal 2/3 binary64) (.f64 x x))))))
✓	cost-diff	128	(/.f64 (/.f64 x (sqrt.f64 (PI.f64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (.f64 #s(literal 2/3 binary64) (.f64 x x)))))
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) (.f64 (.f64 x #s(literal 2/3 binary64)) x))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x #s(literal 2/3 binary64)) x)) (sqrt.f64 (PI.f64)))
✓	cost-diff	0	(.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x #s(literal 2/3 binary64)) x)) (sqrt.f64 (PI.f64))) x)
✓	cost-diff	0	(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x #s(literal 2/3 binary64)) x)) (sqrt.f64 (PI.f64))) x))
✓	cost-diff	0	(fabs.f64 x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fabs.f64 x))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))))
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64)))
✓	cost-diff	0	(sqrt.f64 (PI.f64))
✓	cost-diff	0	(/.f64 x (sqrt.f64 (PI.f64)))
✓	cost-diff	0	(.f64 (/.f64 x (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))
✓	cost-diff	0	(fabs.f64 (.f64 (/.f64 x (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))))))

Rules

2222×	`fma-define`
1988×	`fnmadd-define`
1958×	`fma-lowering-fma.f32`
1958×	`fma-lowering-fma.f64`
1798×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	341
1	135	307
2	395	305
3	1085	305
4	2741	305
5	6253	305
0	8898	305

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize279.0ms (2.4%)

Localize:

Found 20 expressions of interest:

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

Results

201.0ms

256×

valid

Compiler

Compiled 394 to 46 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-mult: 25.0ms (35.8% of total)

...c/correct-round.rkt:119:19: 11.0ms (15.8% of total)

ival-div: 10.0ms (14.3% of total)

ival-add: 7.0ms (10% of total)

ival-fabs: 6.0ms (8.6% of total)

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

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

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

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

const: 1.0ms (1.4% of total)

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

series27.0ms (0.2%)

Counts

27 → 288

Calls

Call 1

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

Outputs
#<alt (fabs (* (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))) (sqrt (/ 1 (PI)))))>
#<alt (* 2 (* x (sqrt (/ 1 (PI)))))>
#<alt (* x (+ (* 2/3 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI))))))>
#<alt (* x (+ (* 2 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 1/5 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 2/3 (sqrt (/ 1 (PI))))))))>
#<alt (* x (+ (* 2 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 2/3 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 1/21 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 1/5 (sqrt (/ 1 (PI))))))))))>
#<alt (* 1/21 (* (pow x 7) (sqrt (/ 1 (PI)))))>
#<alt (* (pow x 7) (+ (* 1/21 (sqrt (/ 1 (PI)))) (* 1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 7) (+ (* 1/21 (sqrt (/ 1 (PI)))) (+ (* 1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* 2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))))))>
#<alt (* (pow x 7) (+ (* 1/21 (sqrt (/ 1 (PI)))) (+ (* 1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* 2 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))))>
#<alt (* 1/21 (* (pow x 7) (sqrt (/ 1 (PI)))))>
#<alt (* -1 (* (pow x 7) (+ (* -1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/21 (sqrt (/ 1 (PI)))))))>
#<alt (* -1 (* (pow x 7) (+ (* -2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* -1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/21 (sqrt (/ 1 (PI))))))))>
#<alt (* -1 (* (pow x 7) (+ (* -2 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* -1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/21 (sqrt (/ 1 (PI)))))))))>
#<alt (* x (sqrt (/ 1 (PI))))>
#<alt (* x (sqrt (/ 1 (PI))))>
#<alt (* x (sqrt (/ 1 (PI))))>
#<alt (* x (sqrt (/ 1 (PI))))>
#<alt (* x (sqrt (/ 1 (PI))))>
#<alt (* x (sqrt (/ 1 (PI))))>
#<alt (* x (sqrt (/ 1 (PI))))>
#<alt (* x (sqrt (/ 1 (PI))))>
#<alt (* x (sqrt (/ 1 (PI))))>
#<alt (* x (sqrt (/ 1 (PI))))>
#<alt (* x (sqrt (/ 1 (PI))))>
#<alt (* x (sqrt (/ 1 (PI))))>
#<alt (* (sqrt (PI)) (/ 1 (fabs x)))>
#<alt (* (sqrt (PI)) (/ 1 (fabs x)))>
#<alt (* (sqrt (PI)) (/ 1 (fabs x)))>
#<alt (* (sqrt (PI)) (/ 1 (fabs x)))>
#<alt (* (sqrt (PI)) (/ 1 (fabs x)))>
#<alt (* (sqrt (PI)) (/ 1 (fabs x)))>
#<alt (* (sqrt (PI)) (/ 1 (fabs x)))>
#<alt (* (sqrt (PI)) (/ 1 (fabs x)))>
#<alt (* (sqrt (PI)) (/ 1 (fabs x)))>
#<alt (* (sqrt (PI)) (/ 1 (fabs x)))>
#<alt (* (sqrt (PI)) (/ 1 (fabs x)))>
#<alt (* (sqrt (PI)) (/ 1 (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 (/ 1 (fabs x))>
#<alt (/ 1 (fabs x))>
#<alt (/ 1 (fabs x))>
#<alt (/ 1 (fabs x))>
#<alt (/ 1 (fabs x))>
#<alt (/ 1 (fabs x))>
#<alt (/ 1 (fabs x))>
#<alt (/ 1 (fabs x))>
#<alt (/ 1 (fabs x))>
#<alt (/ 1 (fabs x))>
#<alt (/ 1 (fabs x))>
#<alt (/ 1 (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 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))>
#<alt (* 2 (* x (sqrt (/ 1 (PI)))))>
#<alt (* x (+ (* 2/3 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI))))))>
#<alt (* x (+ (* 2/3 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI))))))>
#<alt (* x (+ (* 2/3 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI))))))>
#<alt (* 2/3 (* (pow x 3) (sqrt (/ 1 (PI)))))>
#<alt (* (pow x 3) (+ (* 2/3 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 3) (+ (* 2/3 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 3) (+ (* 2/3 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))>
#<alt (* 2/3 (* (pow x 3) (sqrt (/ 1 (PI)))))>
#<alt (* -1 (* (pow x 3) (+ (* -2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -2/3 (sqrt (/ 1 (PI)))))))>
#<alt (* -1 (* (pow x 3) (+ (* -2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -2/3 (sqrt (/ 1 (PI)))))))>
#<alt (* -1 (* (pow x 3) (+ (* -2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -2/3 (sqrt (/ 1 (PI)))))))>
#<alt (* 2 (sqrt (/ 1 (PI))))>
#<alt (+ (* 2/3 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI)))))>
#<alt (+ (* 2/3 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI)))))>
#<alt (+ (* 2/3 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI)))))>
#<alt (* 2/3 (* (pow x 2) (sqrt (/ 1 (PI)))))>
#<alt (* (pow x 2) (+ (* 2/3 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 2) (+ (* 2/3 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 2) (+ (* 2/3 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))>
#<alt (* 2/3 (* (pow x 2) (sqrt (/ 1 (PI)))))>
#<alt (* (pow x 2) (+ (* 2/3 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 2) (+ (* 2/3 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 2) (+ (* 2/3 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))>
#<alt 2>
#<alt (+ 2 (* 2/3 (pow x 2)))>
#<alt (+ 2 (* 2/3 (pow x 2)))>
#<alt (+ 2 (* 2/3 (pow x 2)))>
#<alt (* 2/3 (pow x 2))>
#<alt (* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* 2/3 (pow x 2))>
#<alt (* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* 2 (* x (sqrt (/ 1 (PI)))))>
#<alt (* x (+ (* 2/3 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI))))))>
#<alt (* x (+ (* 2/3 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI))))))>
#<alt (* x (+ (* 2/3 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI))))))>
#<alt (* 2/3 (* (pow x 3) (sqrt (/ 1 (PI)))))>
#<alt (* (pow x 3) (+ (* 2/3 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 3) (+ (* 2/3 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 3) (+ (* 2/3 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))>
#<alt (* 2/3 (* (pow x 3) (sqrt (/ 1 (PI)))))>
#<alt (* -1 (* (pow x 3) (+ (* -2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -2/3 (sqrt (/ 1 (PI)))))))>
#<alt (* -1 (* (pow x 3) (+ (* -2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -2/3 (sqrt (/ 1 (PI)))))))>
#<alt (* -1 (* (pow x 3) (+ (* -2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -2/3 (sqrt (/ 1 (PI)))))))>
#<alt (fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))>
#<alt (fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2))))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2))))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2))))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2))))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))>
#<alt (fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2)))))))>
#<alt (fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2)))))))>
#<alt (fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2)))))))>
#<alt (fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2)))))))>
#<alt (fabs (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))>
#<alt (fabs (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))>
#<alt (fabs (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))>
#<alt (fabs (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))>
#<alt (fabs (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))>
#<alt (fabs (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))>
#<alt (fabs (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))>
#<alt (fabs (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/5 x)>
#<alt (* x (+ 1/5 (* 1/21 (pow x 2))))>
#<alt (* x (+ 1/5 (* 1/21 (pow x 2))))>
#<alt (* x (+ 1/5 (* 1/21 (pow x 2))))>
#<alt (* 1/21 (pow x 3))>
#<alt (* (pow x 3) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 1/21 (pow x 3))>
#<alt (* (pow x 3) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/6 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/18 (pow x 2)) 1/6)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/18 (* -1/54 (pow x 2)))) 1/6)))>
#<alt (/ 3/2 (pow x 2))>
#<alt (/ (- 3/2 (* 9/2 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 3/2 (/ 27/2 (pow x 4))) (* 9/2 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 3/2 (/ 27/2 (pow x 4))) (+ (* 9/2 (/ 1 (pow x 2))) (* 81/2 (/ 1 (pow x 6))))) (pow x 2))>
#<alt (/ 3/2 (pow x 2))>
#<alt (/ (- 3/2 (* 9/2 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 3/2 (/ 27/2 (pow x 4))) (* 9/2 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 3/2 (/ 27/2 (pow x 4))) (+ (* 9/2 (/ 1 (pow x 2))) (* 81/2 (/ 1 (pow x 6))))) (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 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 x)>
#<alt (* x (+ 2 (* 2/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2))))))>
#<alt (* 1/5 (pow x 5))>
#<alt (* (pow x 5) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (* 1/5 (pow x 5))>
#<alt (* (pow x 5) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/5)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/5)))>

Calls

72 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	(* (/ 1 (fabs x)) (sqrt (PI)))
5.0ms	x	@	-inf	(/ 1 (fabs x))
4.0ms	x	@	-inf	(* (/ 1 (fabs x)) (sqrt (PI)))
1.0ms	x	@	0	(* (/ 1 (fabs x)) (sqrt (PI)))
0.0ms	x	@	inf	(* (pow (PI) -1/2) (fabs (* x (+ 2 (* (* x x) (+ 2/3 (* (* x x) 1/5)))))))

rewrite253.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3254×	`-lowering-.f32`
3254×	`-lowering-.f64`
1660×	`/-lowering-/.f32`
1660×	`/-lowering-/.f64`
1424×	`fnmadd-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	222
1	206	198
2	1048	196
3	5748	196
0	8171	196

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 940

Calls

Call 1

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

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

simplify264.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

3918×	`-lowering-.f32`
3918×	`-lowering-.f64`
1840×	`+-lowering-+.f64`
1840×	`+-lowering-+.f32`
1684×	`fnmadd-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	188	2961
1	618	2484
2	2117	2460
3	4939	2452
0	8290	2452

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

Inputs
(fabs (* (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))) (sqrt (/ 1 (PI)))))
(* 2 (* x (sqrt (/ 1 (PI)))))
(* x (+ (* 2/3 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI))))))
(* x (+ (* 2 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 1/5 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 2/3 (sqrt (/ 1 (PI))))))))
(* x (+ (* 2 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 2/3 (sqrt (/ 1 (PI)))) (* (pow x 2) (+ (* 1/21 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 1/5 (sqrt (/ 1 (PI))))))))))
(* 1/21 (* (pow x 7) (sqrt (/ 1 (PI)))))
(* (pow x 7) (+ (* 1/21 (sqrt (/ 1 (PI)))) (* 1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))
(* (pow x 7) (+ (* 1/21 (sqrt (/ 1 (PI)))) (+ (* 1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* 2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))))))
(* (pow x 7) (+ (* 1/21 (sqrt (/ 1 (PI)))) (+ (* 1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (* 2 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI)))))))))
(* 1/21 (* (pow x 7) (sqrt (/ 1 (PI)))))
(* -1 (* (pow x 7) (+ (* -1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/21 (sqrt (/ 1 (PI)))))))
(* -1 (* (pow x 7) (+ (* -2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* -1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/21 (sqrt (/ 1 (PI))))))))
(* -1 (* (pow x 7) (+ (* -2 (* (/ 1 (pow x 6)) (sqrt (/ 1 (PI))))) (+ (* -2/3 (* (/ 1 (pow x 4)) (sqrt (/ 1 (PI))))) (+ (* -1/5 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -1/21 (sqrt (/ 1 (PI)))))))))
(* x (sqrt (/ 1 (PI))))
(* x (sqrt (/ 1 (PI))))
(* x (sqrt (/ 1 (PI))))
(* x (sqrt (/ 1 (PI))))
(* x (sqrt (/ 1 (PI))))
(* x (sqrt (/ 1 (PI))))
(* x (sqrt (/ 1 (PI))))
(* x (sqrt (/ 1 (PI))))
(* x (sqrt (/ 1 (PI))))
(* x (sqrt (/ 1 (PI))))
(* x (sqrt (/ 1 (PI))))
(* x (sqrt (/ 1 (PI))))
(* (sqrt (PI)) (/ 1 (fabs x)))
(* (sqrt (PI)) (/ 1 (fabs x)))
(* (sqrt (PI)) (/ 1 (fabs x)))
(* (sqrt (PI)) (/ 1 (fabs x)))
(* (sqrt (PI)) (/ 1 (fabs x)))
(* (sqrt (PI)) (/ 1 (fabs x)))
(* (sqrt (PI)) (/ 1 (fabs x)))
(* (sqrt (PI)) (/ 1 (fabs x)))
(* (sqrt (PI)) (/ 1 (fabs x)))
(* (sqrt (PI)) (/ 1 (fabs x)))
(* (sqrt (PI)) (/ 1 (fabs x)))
(* (sqrt (PI)) (/ 1 (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)))
(/ 1 (fabs x))
(/ 1 (fabs x))
(/ 1 (fabs x))
(/ 1 (fabs x))
(/ 1 (fabs x))
(/ 1 (fabs x))
(/ 1 (fabs x))
(/ 1 (fabs x))
(/ 1 (fabs x))
(/ 1 (fabs x))
(/ 1 (fabs x))
(/ 1 (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 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))
(* 2 (* x (sqrt (/ 1 (PI)))))
(* x (+ (* 2/3 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI))))))
(* x (+ (* 2/3 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI))))))
(* x (+ (* 2/3 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI))))))
(* 2/3 (* (pow x 3) (sqrt (/ 1 (PI)))))
(* (pow x 3) (+ (* 2/3 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))
(* (pow x 3) (+ (* 2/3 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))
(* (pow x 3) (+ (* 2/3 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))
(* 2/3 (* (pow x 3) (sqrt (/ 1 (PI)))))
(* -1 (* (pow x 3) (+ (* -2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -2/3 (sqrt (/ 1 (PI)))))))
(* -1 (* (pow x 3) (+ (* -2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -2/3 (sqrt (/ 1 (PI)))))))
(* -1 (* (pow x 3) (+ (* -2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -2/3 (sqrt (/ 1 (PI)))))))
(* 2 (sqrt (/ 1 (PI))))
(+ (* 2/3 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI)))))
(+ (* 2/3 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI)))))
(+ (* 2/3 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI)))))
(* 2/3 (* (pow x 2) (sqrt (/ 1 (PI)))))
(* (pow x 2) (+ (* 2/3 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))
(* (pow x 2) (+ (* 2/3 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))
(* (pow x 2) (+ (* 2/3 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))
(* 2/3 (* (pow x 2) (sqrt (/ 1 (PI)))))
(* (pow x 2) (+ (* 2/3 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))
(* (pow x 2) (+ (* 2/3 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))
(* (pow x 2) (+ (* 2/3 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))
2
(+ 2 (* 2/3 (pow x 2)))
(+ 2 (* 2/3 (pow x 2)))
(+ 2 (* 2/3 (pow x 2)))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* 2 (* x (sqrt (/ 1 (PI)))))
(* x (+ (* 2/3 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI))))))
(* x (+ (* 2/3 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI))))))
(* x (+ (* 2/3 (* (pow x 2) (sqrt (/ 1 (PI))))) (* 2 (sqrt (/ 1 (PI))))))
(* 2/3 (* (pow x 3) (sqrt (/ 1 (PI)))))
(* (pow x 3) (+ (* 2/3 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))
(* (pow x 3) (+ (* 2/3 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))
(* (pow x 3) (+ (* 2/3 (sqrt (/ 1 (PI)))) (* 2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI)))))))
(* 2/3 (* (pow x 3) (sqrt (/ 1 (PI)))))
(* -1 (* (pow x 3) (+ (* -2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -2/3 (sqrt (/ 1 (PI)))))))
(* -1 (* (pow x 3) (+ (* -2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -2/3 (sqrt (/ 1 (PI)))))))
(* -1 (* (pow x 3) (+ (* -2 (* (/ 1 (pow x 2)) (sqrt (/ 1 (PI))))) (* -2/3 (sqrt (/ 1 (PI)))))))
(fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))
(fabs (* (* x (+ 2 (* 2/3 (pow x 2)))) (sqrt (/ 1 (PI)))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2))))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2))))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2))))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2))))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))
(* (sqrt (/ 1 (PI))) (fabs (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2)))))))
(fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2)))))))
(fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2)))))))
(fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2)))))))
(fabs (* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2)))))))
(fabs (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))
(fabs (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))
(fabs (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))
(fabs (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))
(fabs (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))
(fabs (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))
(fabs (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))
(fabs (* x (+ 2 (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/21 (pow x 2))
(* 1/5 x)
(* x (+ 1/5 (* 1/21 (pow x 2))))
(* x (+ 1/5 (* 1/21 (pow x 2))))
(* x (+ 1/5 (* 1/21 (pow x 2))))
(* 1/21 (pow x 3))
(* (pow x 3) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* 1/21 (pow x 3))
(* (pow x 3) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/21 (* 1/5 (/ 1 (pow x 2)))))
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 (pow x 2))
(* 2/3 (pow x 2))
(* 2/3 (pow x 2))
(* 2/3 (pow x 2))
(* 2/3 (pow x 2))
(* 2/3 (pow x 2))
(* 2/3 (pow x 2))
(* 2/3 (pow x 2))
(* 2/3 (pow x 2))
(* 2/3 (pow x 2))
(* 2/3 (pow x 2))
(* 2/3 (pow x 2))
1/2
(+ 1/2 (* -1/6 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/18 (pow x 2)) 1/6)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/18 (* -1/54 (pow x 2)))) 1/6)))
(/ 3/2 (pow x 2))
(/ (- 3/2 (* 9/2 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 3/2 (/ 27/2 (pow x 4))) (* 9/2 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 3/2 (/ 27/2 (pow x 4))) (+ (* 9/2 (/ 1 (pow x 2))) (* 81/2 (/ 1 (pow x 6))))) (pow x 2))
(/ 3/2 (pow x 2))
(/ (- 3/2 (* 9/2 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 3/2 (/ 27/2 (pow x 4))) (* 9/2 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 3/2 (/ 27/2 (pow x 4))) (+ (* 9/2 (/ 1 (pow x 2))) (* 81/2 (/ 1 (pow x 6))))) (pow x 2))
(* 2/3 (pow x 2))
(* 2/3 (pow x 2))
(* 2/3 (pow x 2))
(* 2/3 (pow x 2))
(* 2/3 (pow x 2))
(* 2/3 (pow x 2))
(* 2/3 (pow x 2))
(* 2/3 (pow x 2))
(* 2/3 (pow x 2))
(* 2/3 (pow x 2))
(* 2/3 (pow x 2))
(* 2/3 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 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)))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2))))))
(* 1/5 (pow x 5))
(* (pow x 5) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* (pow x 5) (+ 1/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/5 (pow x 5))
(* (pow x 5) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/5)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/5)))

Outputs
(fabs (* (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))) (sqrt (/ 1 (PI)))))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(fabs (* (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))) (sqrt (/ 1 (PI)))))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(fabs (* (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))) (sqrt (/ 1 (PI)))))
(fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(fabs (* (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2)))))))) (sqrt (/ 1 (PI)))))
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(.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)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/6 (pow x 2)))
(+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))
(+ 1/2 (* (pow x 2) (- (* 1/18 (pow x 2)) 1/6)))
(+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 1/18 binary64))))))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/18 (* -1/54 (pow x 2)))) 1/6)))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/18 binary64) (.f64 (.f64 x x) #s(literal -1/54 binary64)))))))
(/ 3/2 (pow x 2))
(/.f64 #s(literal 3/2 binary64) (*.f64 x x))
(/ (- 3/2 (* 9/2 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -9/2 binary64) (.f64 x x))) (.f64 x x))
(/ (- (+ 3/2 (/ 27/2 (pow x 4))) (* 9/2 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -9/2 binary64) (.f64 x x))) (/.f64 #s(literal 27/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 x x))
(/ (- (+ 3/2 (/ 27/2 (pow x 4))) (+ (* 9/2 (/ 1 (pow x 2))) (* 81/2 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 (+.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -9/2 binary64) (.f64 x x))) (/.f64 #s(literal 27/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -81/2 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 x x))
(/ 3/2 (pow x 2))
(/.f64 #s(literal 3/2 binary64) (*.f64 x x))
(/ (- 3/2 (* 9/2 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -9/2 binary64) (.f64 x x))) (.f64 x x))
(/ (- (+ 3/2 (/ 27/2 (pow x 4))) (* 9/2 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -9/2 binary64) (.f64 x x))) (/.f64 #s(literal 27/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 x x))
(/ (- (+ 3/2 (/ 27/2 (pow x 4))) (+ (* 9/2 (/ 1 (pow x 2))) (* 81/2 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 (+.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -9/2 binary64) (.f64 x x))) (/.f64 #s(literal 27/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -81/2 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 x x))
(* 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)))
(* 1/5 (pow x 2))
(.f64 x (.f64 x #s(literal 1/5 binary64)))
(* 1/5 (pow x 2))
(.f64 x (.f64 x #s(literal 1/5 binary64)))
(* 1/5 (pow x 2))
(.f64 x (.f64 x #s(literal 1/5 binary64)))
(* 1/5 (pow x 2))
(.f64 x (.f64 x #s(literal 1/5 binary64)))
(* 1/5 (pow x 2))
(.f64 x (.f64 x #s(literal 1/5 binary64)))
(* 1/5 (pow x 2))
(.f64 x (.f64 x #s(literal 1/5 binary64)))
(* 1/5 (pow x 2))
(.f64 x (.f64 x #s(literal 1/5 binary64)))
(* 1/5 (pow x 2))
(.f64 x (.f64 x #s(literal 1/5 binary64)))
(* 1/5 (pow x 2))
(.f64 x (.f64 x #s(literal 1/5 binary64)))
(* 1/5 (pow x 2))
(.f64 x (.f64 x #s(literal 1/5 binary64)))
(* 1/5 (pow x 2))
(.f64 x (.f64 x #s(literal 1/5 binary64)))
(* 1/5 (pow x 2))
(.f64 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 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 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 x (.f64 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 x (.f64 x #s(literal 1/5 binary64)))))
(* 1/5 (pow x 4))
(*.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.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 (pow.f64 x #s(literal 4 binary64)) (+.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 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 x x))))
(* 1/5 (pow x 4))
(*.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.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 (pow.f64 x #s(literal 4 binary64)) (+.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 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 x x))))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 2/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64)))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64)))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 1/5 (pow x 2))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64)))))))
(* 1/5 (pow x 5))
(*.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 x x))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* (pow x 5) (+ 1/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 x x))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* 1/5 (pow x 5))
(*.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1/5 (* 2/3 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/5)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/5 binary64) (/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/5)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/5 binary64) (/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (*.f64 x x))))

eval280.0ms (2.4%)

Compiler: Compiled 30543 to 3471 computations (88.6% saved)

prune157.0ms (1.4%)

Pruning

21 alts after pruning (15 fresh and 6 done)

	Pruned	Kept	Total
New	1565	11	1576
Fresh	7	4	11
Picked	3	2	5
Done	0	4	4
Total	1575	21	1596

Accuracy

100.0%

Counts

1596 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	69.0%	(/.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 (.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)))
	69.0%	(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 x (sqrt.f64 (PI.f64))))))
✓	69.0%	(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))))
✓	69.1%	(/.f64 #s(literal 2 binary64) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) x)))
	90.2%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (fabs.f64 (.f64 x (-.f64 #s(literal -2 binary64) (.f64 #s(literal 2/3 binary64) (*.f64 x x)))))))
	95.4%	(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))) x)))))
✓	99.8%	(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))))))
	98.9%	(.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 #s(literal 1/21 binary64) (.f64 x (.f64 x (.f64 x x)))))))))))
✓	69.5%	(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (fabs.f64 x))
	26.2%	(fabs.f64 (/.f64 (/.f64 x (sqrt.f64 (PI.f64))) (/.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -9/2 binary64) (.f64 x x))) (.f64 x x))))
	26.5%	(fabs.f64 (/.f64 (/.f64 x (sqrt.f64 (PI.f64))) (/.f64 #s(literal 3/2 binary64) (*.f64 x x))))
	68.7%	(fabs.f64 (/.f64 (/.f64 x (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))))
	90.2%	(fabs.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) #s(literal -2/3 binary64)))) x)))
	26.5%	(fabs.f64 (.f64 (/.f64 (.f64 (*.f64 x x) #s(literal 2/3 binary64)) (sqrt.f64 (PI.f64))) x))
	26.5%	(fabs.f64 (.f64 (/.f64 (.f64 x (*.f64 x #s(literal 2/3 binary64))) (sqrt.f64 (PI.f64))) x))
✓	99.4%	(fabs.f64 (.f64 (/.f64 x (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))))))
	98.5%	(fabs.f64 (.f64 (/.f64 x (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))
	94.9%	(fabs.f64 (.f64 (/.f64 x (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64))))))))
	90.1%	(fabs.f64 (.f64 (/.f64 x (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 2/3 binary64)))))
	26.8%	(fabs.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x x)))))

Compiler

Compiled 1092 to 482 computations (55.9% saved)

regimes66.0ms (0.6%)

Counts

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

Outputs

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

Calls

5 calls:

13.0ms	(fabs.f64 x)
12.0ms	(.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	(+.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	(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	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)

regimes27.0ms (0.2%)

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

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 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))))

Calls

2 calls:

12.0ms	x
11.0ms	(fabs.f64 x)

Results

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

Compiler

Compiled 5 to 3 computations (40% saved)

regimes22.0ms (0.2%)

Counts

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

Outputs

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

Calls

2 calls:

11.0ms	x
9.0ms	(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)

regimes19.0ms (0.2%)

Counts

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

Calls

2 calls:

8.0ms	(fabs.f64 x)
8.0ms	x

Results

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

Compiler

Compiled 5 to 3 computations (40% saved)

regimes17.0ms (0.1%)

Counts

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

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

Calls

2 calls:

7.0ms	(fabs.f64 x)
7.0ms	x

Results

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

Compiler

Compiled 5 to 3 computations (40% saved)

regimes19.0ms (0.2%)

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

Calls

2 calls:

9.0ms	(fabs.f64 x)
7.0ms	x

Results

Accuracy	Segments	Branch
95.4%	1	`x`
95.4%	1	`(fabs.f64 x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes16.0ms (0.1%)

Counts

23 → 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 x (*.f64 x #s(literal 2/3 binary64))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (.f64 (*.f64 x x) #s(literal 2/3 binary64)) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (/.f64 (/.f64 x (sqrt.f64 (PI.f64))) (/.f64 #s(literal 3/2 binary64) (*.f64 x x))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x x)))))
(fabs.f64 (.f64 (/.f64 x (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (*.f64 x x)))))
(fabs.f64 (.f64 (/.f64 x (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 2/3 binary64)))))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x #s(literal 2/3 binary64)) x)) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (.f64 x x))))))
(fabs.f64 (/.f64 (/.f64 x (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))))
(/.f64 (fabs.f64 (.f64 x (-.f64 #s(literal -2 binary64) (.f64 #s(literal 2/3 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 (.f64 x x) #s(literal 2/3 binary64))))))
(fabs.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) #s(literal -2/3 binary64)))) x)))
(fabs.f64 (/.f64 (/.f64 x (sqrt.f64 (PI.f64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (.f64 #s(literal 2/3 binary64) (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (/.f64 (sqrt.f64 (PI.f64)) x) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (fabs.f64 (.f64 x (-.f64 #s(literal -2 binary64) (.f64 #s(literal 2/3 binary64) (*.f64 x x)))))))
(fabs.f64 (/.f64 (/.f64 x (sqrt.f64 (PI.f64))) (/.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -9/2 binary64) (.f64 x x))) (.f64 x x))))
(fabs.f64 (.f64 (/.f64 x (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64))))))))

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

Calls

2 calls:

8.0ms	(fabs.f64 x)
6.0ms	x

Results

Accuracy	Segments	Branch
94.9%	1	`x`
94.9%	1	`(fabs.f64 x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes15.0ms (0.1%)

Counts

22 → 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 x (*.f64 x #s(literal 2/3 binary64))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (.f64 (*.f64 x x) #s(literal 2/3 binary64)) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (/.f64 (/.f64 x (sqrt.f64 (PI.f64))) (/.f64 #s(literal 3/2 binary64) (*.f64 x x))))
(fabs.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x x)))))
(fabs.f64 (.f64 (/.f64 x (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (*.f64 x x)))))
(fabs.f64 (.f64 (/.f64 x (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 2/3 binary64)))))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (*.f64 x x))) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x #s(literal 2/3 binary64)) x)) (sqrt.f64 (PI.f64))) x))
(fabs.f64 (/.f64 x (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (.f64 x x))))))
(fabs.f64 (/.f64 (/.f64 x (sqrt.f64 (PI.f64))) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))))
(/.f64 (fabs.f64 (.f64 x (-.f64 #s(literal -2 binary64) (.f64 #s(literal 2/3 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 (.f64 x x) #s(literal 2/3 binary64))))))
(fabs.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) #s(literal -2/3 binary64)))) x)))
(fabs.f64 (/.f64 (/.f64 x (sqrt.f64 (PI.f64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (.f64 #s(literal 2/3 binary64) (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (/.f64 (sqrt.f64 (PI.f64)) x) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2/3 binary64) (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (fabs.f64 (.f64 x (-.f64 #s(literal -2 binary64) (.f64 #s(literal 2/3 binary64) (*.f64 x x)))))))
(fabs.f64 (/.f64 (/.f64 x (sqrt.f64 (PI.f64))) (/.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -9/2 binary64) (.f64 x x))) (.f64 x x))))

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

Calls

2 calls:

8.0ms	x
6.0ms	(fabs.f64 x)

Results

Accuracy	Segments	Branch
90.6%	1	`x`
90.6%	1	`(fabs.f64 x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes8.0ms (0.1%)

Counts

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

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

Calls

2 calls:

4.0ms	(fabs.f64 x)
4.0ms	x

Results

Accuracy	Segments	Branch
90.1%	1	`x`
90.1%	1	`(fabs.f64 x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes9.0ms (0.1%)

Counts

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

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

Calls

2 calls:

3.0ms	(fabs.f64 x)
3.0ms	x

Results

Accuracy	Segments	Branch
90.3%	2	`x`
90.3%	2	`(fabs.f64 x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes7.0ms (0.1%)

Counts

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

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

Calls

2 calls:

3.0ms	x
3.0ms	(fabs.f64 x)

Results

Accuracy	Segments	Branch
89.9%	2	`x`
89.9%	2	`(fabs.f64 x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes5.0ms (0%)

Accuracy

Total -0.5b remaining (-2.3%)

Threshold costs -0.5b (-2.3%)

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
69.5%	1	`x`
69.5%	1	`(fabs.f64 x)`

Compiler

Compiled 5 to 3 computations (40% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.6650522256619319	5.369495621676737

Compiler

Compiled 57 to 31 computations (45.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.6650522256619319	5.369495621676737

Compiler

Compiled 57 to 31 computations (45.6% saved)

simplify19.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

98×	`*-commutative_binary64`
62×	`fabs-mul_binary64`
34×	`+-commutative_binary64`
8×	`fabs-div_binary64`
2×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	279
1	201	279
2	223	279
3	229	279
4	235	279
5	235	279

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness2.3s (19.9%)

Rules

5262×	`-lowering-.f32`
5262×	`-lowering-.f64`
4684×	`-lowering-.f32`
4684×	`-lowering-.f64`
4578×	`-lowering-.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	274
1	204	241
2	942	232
3	5816	232
0	8561	232
0	101	2126
1	325	1806
2	971	1804
3	2949	1786
4	7244	1786
0	8154	1786
0	33	170
1	141	153
2	622	153
3	2913	153
0	8214	153
0	40	151
1	163	122
2	802	115
3	5321	115
0	8363	115
0	96	1786
1	300	1675
2	1039	1582
3	3699	1526
4	6594	1526
0	8263	1526
0	188	2961
1	618	2484
2	2117	2460
3	4939	2452
0	8290	2452
0	31	39
1	79	31
2	261	24
3	1227	23
4	2530	23
5	4479	23
6	5565	23
7	5838	23
8	5866	23
9	5868	23
10	5868	23
11	7533	23
12	7677	23
13	7778	23
0	8018	23

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

Compiler

Compiled 491 to 273 computations (44.4% saved)

preprocess102.0ms (0.9%)

Remove: (abs x)
Compiler: Compiled 1192 to 498 computations (58.2% saved)

analyze0.0ms (0%)

sample2.2s (19.1%)

preprocess329.0ms (2.9%)

explain375.0ms (3.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify185.0ms (1.6%)

localize210.0ms (1.8%)

series27.0ms (0.2%)

rewrite293.0ms (2.6%)

simplify270.0ms (2.4%)

eval216.0ms (1.9%)

prune149.0ms (1.3%)

simplify228.0ms (2%)

localize341.0ms (3%)

series22.0ms (0.2%)

rewrite289.0ms (2.5%)

simplify290.0ms (2.5%)

eval224.0ms (2%)

prune212.0ms (1.9%)

simplify257.0ms (2.2%)

localize221.0ms (1.9%)

series9.0ms (0.1%)

rewrite292.0ms (2.6%)

simplify305.0ms (2.7%)

eval249.0ms (2.2%)

prune191.0ms (1.7%)

simplify177.0ms (1.5%)

localize279.0ms (2.4%)

series27.0ms (0.2%)

rewrite253.0ms (2.2%)

simplify264.0ms (2.3%)

eval280.0ms (2.4%)

prune157.0ms (1.4%)

regimes66.0ms (0.6%)

regimes27.0ms (0.2%)

regimes22.0ms (0.2%)

regimes19.0ms (0.2%)

regimes17.0ms (0.1%)

regimes19.0ms (0.2%)

regimes16.0ms (0.1%)

regimes15.0ms (0.1%)

regimes8.0ms (0.1%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify19.0ms (0.2%)

soundness2.3s (19.9%)

preprocess102.0ms (0.9%)

end0.0ms (0%)

Profiling