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

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 71 to 30 computations (57.7% saved)

Precisions

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

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

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

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

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

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

const: 0.0ms (0% of total)

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

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

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

sample2.1s (18.7%)

Results

1.7s

8256×

valid

Precisions

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

ival-mult: 627.0ms (46.8% of total)

ival-div: 277.0ms (20.7% of total)

ival-add: 121.0ms (9% of total)

ival-fabs: 112.0ms (8.4% of total)

ival-sqrt: 78.0ms (5.8% of total)

ival-pi: 48.0ms (3.6% of total)

ival-<=: 43.0ms (3.2% of total)

const: 31.0ms (2.3% of total)

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

Bogosity

preprocess318.0ms (2.8%)

Algorithm

2×	egg-herbie

Rules

5234×	`-lowering-.f32`
5234×	`-lowering-.f64`
2454×	`distribute-lft-out`
2240×	`+-lowering-+.f64`
2240×	`+-lowering-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	136
1	171	94
2	402	73
3	2139	70
4	6896	70
0	31	45
1	78	31
2	263	24
3	1282	23
4	2597	23
5	4587	23
6	5668	23
7	5940	23
8	5968	23
9	5970	23
10	5970	23
11	7671	23
12	7816	23
13	7917	23
0	8041	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 (* (rsqrt (PI)) (* (fabs x) (+ (fma 2/3 (square x) 2) (fma 1/21 (pow x 6) (* 1/5 (pow x 4)))))))
(fabs (* (/ 1 (sqrt (PI))) (+ (+ (+ (* 2 (fabs (neg x))) (* (/ 2 3) (* (* (fabs (neg x)) (fabs (neg x))) (fabs (neg x))))) (* (/ 1 5) (* (* (* (* (fabs (neg x)) (fabs (neg x))) (fabs (neg x))) (fabs (neg x))) (fabs (neg x))))) (* (/ 1 21) (* (* (* (* (* (* (fabs (neg x)) (fabs (neg x))) (fabs (neg x))) (fabs (neg x))) (fabs (neg x))) (fabs (neg x))) (fabs (neg x)))))))
(fabs (* (rsqrt (PI)) (* (fabs x) (+ (fma 2/3 (square x) 2) (fma 1/21 (pow x 6) (* 1/5 (pow x 4)))))))
(neg (fabs (* (/ 1 (sqrt (PI))) (+ (+ (+ (* 2 (fabs (neg x))) (* (/ 2 3) (* (* (fabs (neg x)) (fabs (neg x))) (fabs (neg x))))) (* (/ 1 5) (* (* (* (* (fabs (neg x)) (fabs (neg x))) (fabs (neg x))) (fabs (neg x))) (fabs (neg x))))) (* (/ 1 21) (* (* (* (* (* (* (fabs (neg x)) (fabs (neg x))) (fabs (neg x))) (fabs (neg x))) (fabs (neg x))) (fabs (neg x))) (fabs (neg x))))))))
(neg (fabs (* (rsqrt (PI)) (* (fabs x) (+ (fma 2/3 (square x) 2) (fma 1/21 (pow x 6) (* 1/5 (pow x 4))))))))

Symmetry

(abs x)

explain366.0ms (3.2%)

FPErrors

Click to see full error table

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

Results

195.0ms

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: 40.0ms (47.3% of total)

ival-div: 16.0ms (18.9% of total)

ival-add: 14.0ms (16.6% of total)

ival-fabs: 6.0ms (7.1% of total)

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

ival-pi: 3.0ms (3.5% of total)

const: 2.0ms (2.4% 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)))))))))
▶	99.8%	(fabs.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (.f64 #s(literal 2 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))))

Status

Accuracy

Program

▶

99.4%

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

▶

99.8%

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

Compiler

Compiled 95 to 46 computations (51.6% saved)

simplify233.0ms (2%)

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

3948×	`-lowering-.f32`
3948×	`-lowering-.f64`
2464×	`sum3-define`
2024×	`+-lowering-+.f64`
2024×	`+-lowering-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	388
1	126	291
2	483	253
3	2091	242
4	4415	242
5	7069	242
6	7419	242
7	7501	242
8	7510	242
9	7510	242
0	8766	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 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (*.f64 x 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)))))
(.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (*.f64 x x))))))))))
(/ 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 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (*.f64 x x))))))))))
(+ (+ (* 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 #s(literal 2/3 binary64) (.f64 x (*.f64 x (fabs.f64 x))))
(/ 2 3)
#s(literal 2/3 binary64)
3
#s(literal 3 binary64)
(* (* (fabs x) (fabs x)) (fabs x))
(.f64 x (.f64 x (fabs.f64 x)))
(* (fabs x) (fabs x))
(*.f64 x x)
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
(.f64 x (.f64 x (.f64 (.f64 x (*.f64 x (fabs.f64 x))) #s(literal 1/5 binary64))))
(/ 1 5)
#s(literal 1/5 binary64)
5
#s(literal 5 binary64)
(* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x))
(.f64 x (.f64 x (.f64 x (.f64 x (fabs.f64 x)))))
(* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x))
(.f64 x (.f64 x (*.f64 x x)))
(* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
(.f64 (fabs.f64 x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 #s(literal 1/21 binary64) (*.f64 x x))))
(/ 1 21)
#s(literal 1/21 binary64)
21
#s(literal 21 binary64)
(* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))
(.f64 (fabs.f64 x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))
(.f64 x (.f64 x (.f64 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 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (*.f64 x x)))))))))))
(* (/ (fabs x) (sqrt (PI))) (+ 2 (* (* x x) (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21)))))))
(.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (*.f64 x x))))))))))
(/ (fabs x) (sqrt (PI)))
(/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))
(fabs x)
(fabs.f64 x)
x
(sqrt (PI))
(sqrt.f64 (PI.f64))
(PI)
(PI.f64)
(+ 2 (* (* x x) (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21))))))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x)))))))))
2
#s(literal 2 binary64)
(* (* x x) (+ 2/3 (* (* x x) (+ 1/5 (* (* x x) 1/21)))))
(.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x))))))))
(* 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 #s(literal 1/21 binary64) (.f64 x x))))))
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 #s(literal 1/21 binary64) (.f64 x x)))))
(+ 1/5 (* (* x x) 1/21))
(+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/21 binary64) (.f64 x x)))
1/5
#s(literal 1/5 binary64)
(* (* x x) 1/21)
(.f64 #s(literal 1/21 binary64) (.f64 x x))
1/21
#s(literal 1/21 binary64)

localize215.0ms (1.9%)

Localize:

Found 8 expressions of interest:

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

Results

142.0ms

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: 25.0ms (39% of total)

...c/correct-round.rkt:119:19: 12.0ms (18.7% of total)

ival-div: 10.0ms (15.6% of total)

ival-add: 8.0ms (12.5% of total)

ival-fabs: 4.0ms (6.2% of total)

ival-sqrt: 3.0ms (4.7% of total)

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

const: 1.0ms (1.6% of total)

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

series23.0ms (0.2%)

Counts

14 → 156

Calls

Call 1

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

Outputs
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 2)>
#<alt (pow (fabs x) 4)>
#<alt (pow (fabs x) 4)>
#<alt (pow (fabs x) 4)>
#<alt (pow (fabs x) 4)>
#<alt (pow (fabs x) 4)>
#<alt (pow (fabs x) 4)>
#<alt (pow (fabs x) 4)>
#<alt (pow (fabs x) 4)>
#<alt (pow (fabs x) 4)>
#<alt (pow (fabs x) 4)>
#<alt (pow (fabs x) 4)>
#<alt (pow (fabs x) 4)>
#<alt (pow (fabs x) 6)>
#<alt (pow (fabs x) 6)>
#<alt (pow (fabs x) 6)>
#<alt (pow (fabs x) 6)>
#<alt (pow (fabs x) 6)>
#<alt (pow (fabs x) 6)>
#<alt (pow (fabs x) 6)>
#<alt (pow (fabs x) 6)>
#<alt (pow (fabs x) 6)>
#<alt (pow (fabs x) 6)>
#<alt (pow (fabs x) 6)>
#<alt (pow (fabs x) 6)>
#<alt (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))>
#<alt (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))>
#<alt (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))>
#<alt (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))>
#<alt (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))>
#<alt (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))>
#<alt (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))>
#<alt (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))>
#<alt (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))>
#<alt (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))>
#<alt (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))>
#<alt (+ (* 1/21 (pow (fabs x) 7)) (+ (* 1/5 (pow (fabs x) 5)) (+ (* 2/3 (pow (fabs x) 3)) (* 2 (fabs x)))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/5 (* 1/21 (pow x 2))))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))>
#<alt (fabs (* (sqrt (/ 1 (PI))) (* (fabs x) (+ 2 (+ (* 1/21 (pow x 6)) (+ (* 1/5 (pow x 4)) (* 2/3 (pow x 2))))))))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (fabs x)))>
#<alt (+ (* 2/3 (* (* (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 2 (* (sqrt (/ 1 (PI))) (fabs x))))>
#<alt (+ (* 2 (* (sqrt (/ 1 (PI))) (fabs x))) (* (pow x 2) (+ (* 1/5 (* (* (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 2/3 (* (sqrt (/ 1 (PI))) (fabs x))))))>
#<alt (+ (* 2 (* (sqrt (/ 1 (PI))) (fabs x))) (* (pow x 2) (+ (* 2/3 (* (sqrt (/ 1 (PI))) (fabs x))) (* (pow x 2) (+ (* 1/21 (* (* (pow x 2) (fabs x)) (sqrt (/ 1 (PI))))) (* 1/5 (* (sqrt (/ 1 (PI))) (fabs x))))))))>
#<alt (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (* 1/5 (* (/ (fabs x) (pow x 2)) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (+ (* 1/5 (* (/ (fabs x) (pow x 2)) (sqrt (/ 1 (PI))))) (* 2/3 (* (/ (fabs x) (pow x 4)) (sqrt (/ 1 (PI))))))))>
#<alt (* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (+ (* 1/5 (* (/ (fabs x) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 2/3 (* (/ (fabs x) (pow x 4)) (sqrt (/ 1 (PI))))) (* 2 (* (/ (fabs x) (pow x 6)) (sqrt (/ 1 (PI)))))))))>
#<alt (* 1/21 (* (* (pow x 6) (fabs x)) (sqrt (/ 1 (PI)))))>
#<alt (* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (* 1/5 (* (/ (fabs x) (pow x 2)) (sqrt (/ 1 (PI)))))))>
#<alt (* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (+ (* 1/5 (* (/ (fabs x) (pow x 2)) (sqrt (/ 1 (PI))))) (* 2/3 (* (/ (fabs x) (pow x 4)) (sqrt (/ 1 (PI))))))))>
#<alt (* (pow x 6) (+ (* 1/21 (* (sqrt (/ 1 (PI))) (fabs x))) (+ (* 1/5 (* (/ (fabs x) (pow x 2)) (sqrt (/ 1 (PI))))) (+ (* 2/3 (* (/ (fabs x) (pow x 4)) (sqrt (/ 1 (PI))))) (* 2 (* (/ (fabs x) (pow x 6)) (sqrt (/ 1 (PI)))))))))>
#<alt (* (sqrt (/ 1 (PI))) (fabs x))>
#<alt (* (sqrt (/ 1 (PI))) (fabs x))>
#<alt (* (sqrt (/ 1 (PI))) (fabs x))>
#<alt (* (sqrt (/ 1 (PI))) (fabs x))>
#<alt (* (sqrt (/ 1 (PI))) (fabs x))>
#<alt (* (sqrt (/ 1 (PI))) (fabs x))>
#<alt (* (sqrt (/ 1 (PI))) (fabs x))>
#<alt (* (sqrt (/ 1 (PI))) (fabs x))>
#<alt (* (sqrt (/ 1 (PI))) (fabs x))>
#<alt (* (sqrt (/ 1 (PI))) (fabs x))>
#<alt (* (sqrt (/ 1 (PI))) (fabs x))>
#<alt (* (sqrt (/ 1 (PI))) (fabs x))>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (fabs x)>
#<alt (* 2/3 (pow (fabs x) 3))>
#<alt (* 2/3 (pow (fabs x) 3))>
#<alt (* 2/3 (pow (fabs x) 3))>
#<alt (* 2/3 (pow (fabs x) 3))>
#<alt (* 2/3 (pow (fabs x) 3))>
#<alt (* 2/3 (pow (fabs x) 3))>
#<alt (* 2/3 (pow (fabs x) 3))>
#<alt (* 2/3 (pow (fabs x) 3))>
#<alt (* 2/3 (pow (fabs x) 3))>
#<alt (* 2/3 (pow (fabs x) 3))>
#<alt (* 2/3 (pow (fabs x) 3))>
#<alt (* 2/3 (pow (fabs x) 3))>
#<alt (* 1/5 (pow (fabs x) 5))>
#<alt (* 1/5 (pow (fabs x) 5))>
#<alt (* 1/5 (pow (fabs x) 5))>
#<alt (* 1/5 (pow (fabs x) 5))>
#<alt (* 1/5 (pow (fabs x) 5))>
#<alt (* 1/5 (pow (fabs x) 5))>
#<alt (* 1/5 (pow (fabs x) 5))>
#<alt (* 1/5 (pow (fabs x) 5))>
#<alt (* 1/5 (pow (fabs x) 5))>
#<alt (* 1/5 (pow (fabs x) 5))>
#<alt (* 1/5 (pow (fabs x) 5))>
#<alt (* 1/5 (pow (fabs x) 5))>
#<alt (pow (fabs x) 3)>
#<alt (pow (fabs x) 3)>
#<alt (pow (fabs x) 3)>
#<alt (pow (fabs x) 3)>
#<alt (pow (fabs x) 3)>
#<alt (pow (fabs x) 3)>
#<alt (pow (fabs x) 3)>
#<alt (pow (fabs x) 3)>
#<alt (pow (fabs x) 3)>
#<alt (pow (fabs x) 3)>
#<alt (pow (fabs x) 3)>
#<alt (pow (fabs x) 3)>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 1/21 (pow x 2))>
#<alt (* 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
4.0ms	x	@	-inf	(+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))
3.0ms	x	@	-inf	(* (* (* (* (* (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	@	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)))))))

rewrite396.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3732×	`-lowering-.f32`
3732×	`-lowering-.f64`
2196×	`/-lowering-/.f32`
2196×	`/-lowering-/.f64`
2058×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	133
1	221	107
2	2080	104
0	8187	104

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 539

Calls

Call 1

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

Outputs
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 x x))
(fabs.f64 (neg.f64 (*.f64 x x)))
(fabs.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)))
(fabs.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) x))
(fabs.f64 (neg.f64 (neg.f64 (*.f64 x x))))
(fabs.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x))))
(fabs.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) x)))
(fabs.f64 (*.f64 x (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(fabs.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(fabs.f64 (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) x))
(fabs.f64 (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (fabs.f64 x))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(*.f64 (exp.f64 (log.f64 (fabs.f64 x))) (exp.f64 (log.f64 (fabs.f64 x))))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (fabs.f64 x) x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x (fabs.f64 x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (fabs.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 (fabs.f64 x)) #s(literal 2 binary64))))
(exp.f64 (+.f64 (.f64 (log.f64 (fabs.f64 x)) #s(literal 2 binary64)) (.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (+.f64 (.f64 (log.f64 (fabs.f64 x)) #s(literal 2 binary64)) (.f64 (log.f64 (fabs.f64 x)) #s(literal 2 binary64))))
(fabs.f64 (.f64 x (.f64 x (*.f64 x x))))
(fabs.f64 (neg.f64 (.f64 x (.f64 x (*.f64 x x)))))
(fabs.f64 (.f64 x (.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) x))))
(fabs.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x (*.f64 x x))))
(fabs.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) x))))
(fabs.f64 (.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (.f64 x (*.f64 x x))))
(fabs.f64 (.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) x))))
(fabs.f64 (.f64 (.f64 x (*.f64 x x)) (-.f64 #s(literal 0 binary64) x)))
(fabs.f64 (.f64 (.f64 x (*.f64 x x)) (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(fabs.f64 (.f64 (.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) x)) x))
(fabs.f64 (.f64 (.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) x)))
(fabs.f64 (.f64 (.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) x)) (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(fabs.f64 (.f64 (.f64 x x) (neg.f64 (*.f64 x x))))
(fabs.f64 (.f64 (.f64 x x) (*.f64 x (-.f64 #s(literal 0 binary64) x))))
(fabs.f64 (.f64 (.f64 x x) (*.f64 (-.f64 #s(literal 0 binary64) x) x)))
(fabs.f64 (.f64 (neg.f64 (.f64 x x)) (*.f64 x x)))
(fabs.f64 (.f64 (neg.f64 (.f64 x x)) (*.f64 x (-.f64 #s(literal 0 binary64) x))))
(fabs.f64 (.f64 (neg.f64 (.f64 x x)) (*.f64 (-.f64 #s(literal 0 binary64) x) x)))
(fabs.f64 (.f64 (.f64 x (-.f64 #s(literal 0 binary64) x)) (*.f64 x x)))
(fabs.f64 (.f64 (.f64 x (-.f64 #s(literal 0 binary64) x)) (neg.f64 (*.f64 x x))))
(fabs.f64 (.f64 (.f64 x (-.f64 #s(literal 0 binary64) x)) (*.f64 (-.f64 #s(literal 0 binary64) x) x)))
(fabs.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) x) x) (*.f64 x x)))
(fabs.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) x) x) (neg.f64 (*.f64 x x))))
(fabs.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) x) x) (*.f64 x (-.f64 #s(literal 0 binary64) x))))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 (fabs.f64 x) #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 (*.f64 (fabs.f64 x) x) #s(literal 2 binary64))
(pow.f64 (*.f64 x (fabs.f64 x)) #s(literal 2 binary64))
(.f64 x (.f64 x (*.f64 x x)))
(.f64 (fabs.f64 x) (pow.f64 (.f64 x x) #s(literal 3/2 binary64)))
(.f64 (fabs.f64 x) (fabs.f64 (pow.f64 (.f64 x x) #s(literal 3/2 binary64))))
(.f64 (pow.f64 (.f64 x x) #s(literal 3/2 binary64)) (fabs.f64 x))
(.f64 (.f64 x x) (*.f64 x x))
(.f64 (.f64 x (*.f64 x x)) x)
(.f64 (.f64 (fabs.f64 x) x) (*.f64 (fabs.f64 x) x))
(.f64 (.f64 x (fabs.f64 x)) (*.f64 x (fabs.f64 x)))
(.f64 (neg.f64 (.f64 x x)) (neg.f64 (*.f64 x x)))
(.f64 (.f64 x (-.f64 #s(literal 0 binary64) x)) (*.f64 x (-.f64 #s(literal 0 binary64) x)))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) x) x) (*.f64 (-.f64 #s(literal 0 binary64) x) x))
(.f64 (fabs.f64 (pow.f64 (.f64 x x) #s(literal 3/2 binary64))) (fabs.f64 x))
(.f64 (fabs.f64 (.f64 (fabs.f64 x) x)) (fabs.f64 (*.f64 (fabs.f64 x) x)))
(.f64 (fabs.f64 (.f64 x (fabs.f64 x))) (fabs.f64 (*.f64 x (fabs.f64 x))))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (fabs.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 (fabs.f64 x)) #s(literal 3 binary64)) (.f64 (log.f64 (fabs.f64 x)) #s(literal 3 binary64))))
(fabs.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(fabs.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) x))))
(fabs.f64 (.f64 (.f64 (.f64 x x) (-.f64 #s(literal 0 binary64) x)) (.f64 x (*.f64 x x))))
(fabs.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (neg.f64 (*.f64 x x))))
(fabs.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x (-.f64 #s(literal 0 binary64) x))))
(fabs.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 (-.f64 #s(literal 0 binary64) x) x)))
(fabs.f64 (.f64 (neg.f64 (.f64 x x)) (.f64 x (.f64 x (*.f64 x x)))))
(fabs.f64 (.f64 (.f64 x (-.f64 #s(literal 0 binary64) x)) (.f64 x (.f64 x (*.f64 x x)))))
(fabs.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) x) x) (.f64 x (.f64 x (*.f64 x x)))))
(pow.f64 x #s(literal 6 binary64))
(pow.f64 (fabs.f64 x) #s(literal 6 binary64))
(pow.f64 (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3 binary64))
(pow.f64 (.f64 x (.f64 x x)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 x (fabs.f64 x)) x) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (fabs.f64 x) x) (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 x (fabs.f64 x)) (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (.f64 x (.f64 (fabs.f64 x) x)) #s(literal 2 binary64))
(pow.f64 (.f64 (fabs.f64 x) (.f64 (fabs.f64 x) x)) #s(literal 2 binary64))
(pow.f64 (.f64 (fabs.f64 x) (.f64 x (fabs.f64 x))) #s(literal 2 binary64))
(.f64 (fabs.f64 x) (.f64 (pow.f64 (.f64 x x) #s(literal 3/2 binary64)) (.f64 x x)))
(.f64 (pow.f64 (.f64 x x) #s(literal 3/2 binary64)) (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)))
(.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x x))
(.f64 (.f64 (pow.f64 (.f64 x x) #s(literal 3/2 binary64)) (.f64 x x)) (fabs.f64 x))
(.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))
(.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))
(.f64 (.f64 (.f64 x (.f64 x (*.f64 x x))) x) x)
(.f64 (.f64 (.f64 x x) (-.f64 #s(literal 0 binary64) x)) (.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) x)))
(+.f64 (.f64 (fabs.f64 x) #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 (.f64 x x) #s(literal 3/2 binary64)) #s(literal 2/3 binary64)) (.f64 (fabs.f64 x) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64))))))))
(+.f64 (.f64 (fabs.f64 x) #s(literal 2 binary64)) (+.f64 (.f64 (fabs.f64 x) (+.f64 (.f64 x (.f64 x #s(literal 2/3 binary64))) (.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) (.f64 x x)))) (.f64 (.f64 (pow.f64 (.f64 x x) #s(literal 3/2 binary64)) (.f64 x x)) (.f64 x (.f64 x #s(literal 1/21 binary64))))))
(+.f64 (.f64 (pow.f64 (.f64 x x) #s(literal 3/2 binary64)) #s(literal 2/3 binary64)) (+.f64 (.f64 (fabs.f64 x) #s(literal 2 binary64)) (.f64 (fabs.f64 x) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64))))))))
(+.f64 (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))) (.f64 (fabs.f64 x) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64)))))))
(+.f64 (.f64 (pow.f64 (.f64 x x) #s(literal 3/2 binary64)) (.f64 x (.f64 x #s(literal 1/5 binary64)))) (+.f64 (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))) (.f64 (.f64 (pow.f64 (.f64 x x) #s(literal 3/2 binary64)) (.f64 x x)) (.f64 x (*.f64 x #s(literal 1/21 binary64))))))
(+.f64 (+.f64 (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))) (.f64 (pow.f64 (.f64 x x) #s(literal 3/2 binary64)) (.f64 x (.f64 x #s(literal 1/5 binary64))))) (.f64 (.f64 (pow.f64 (.f64 x x) #s(literal 3/2 binary64)) (.f64 x x)) (.f64 x (*.f64 x #s(literal 1/21 binary64)))))
(+.f64 (.f64 (.f64 (pow.f64 (.f64 x x) #s(literal 3/2 binary64)) (.f64 x x)) (.f64 x (.f64 x #s(literal 1/21 binary64)))) (+.f64 (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))) (.f64 (pow.f64 (.f64 x x) #s(literal 3/2 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 x (.f64 x #s(literal 1/21 binary64)))))) (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))))
(+.f64 (+.f64 (.f64 (.f64 (pow.f64 (.f64 x x) #s(literal 3/2 binary64)) (.f64 x x)) (.f64 x (.f64 x #s(literal 1/21 binary64)))) (.f64 (fabs.f64 x) #s(literal 2 binary64))) (.f64 (fabs.f64 x) (+.f64 (.f64 x (.f64 x #s(literal 2/3 binary64))) (.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) (.f64 x x)))))
(+.f64 (+.f64 (.f64 (.f64 (pow.f64 (.f64 x x) #s(literal 3/2 binary64)) (.f64 x x)) (.f64 x (.f64 x #s(literal 1/21 binary64)))) (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64)))))) (.f64 (pow.f64 (.f64 x x) #s(literal 3/2 binary64)) (.f64 x (*.f64 x #s(literal 1/5 binary64)))))
(-.f64 (/.f64 (pow.f64 (+.f64 (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))) (.f64 (pow.f64 (.f64 x x) #s(literal 3/2 binary64)) (.f64 x (.f64 x #s(literal 1/5 binary64))))) #s(literal 2 binary64)) (+.f64 (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))) (-.f64 (.f64 (pow.f64 (.f64 x x) #s(literal 3/2 binary64)) (.f64 x (.f64 x #s(literal 1/5 binary64)))) (.f64 (.f64 (pow.f64 (.f64 x x) #s(literal 3/2 binary64)) (.f64 x x)) (.f64 x (.f64 x #s(literal 1/21 binary64))))))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/21 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 #s(literal 1/21 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (+.f64 (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))) (-.f64 (.f64 (pow.f64 (.f64 x x) #s(literal 3/2 binary64)) (.f64 x (.f64 x #s(literal 1/5 binary64)))) (.f64 (.f64 (pow.f64 (.f64 x x) #s(literal 3/2 binary64)) (.f64 x x)) (.f64 x (.f64 x #s(literal 1/21 binary64))))))))
(-.f64 (/.f64 (.f64 (.f64 x x) (pow.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64)))) #s(literal 2 binary64))) (-.f64 (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))) (.f64 (fabs.f64 x) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64)))))))) (/.f64 (pow.f64 (.f64 (fabs.f64 x) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64)))))) #s(literal 2 binary64)) (-.f64 (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))) (.f64 (fabs.f64 x) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/21 binary64)))))))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/21 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 #s(literal 1/21 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (-.f64 (.f64 (.f64 (pow.f64 (.f64 x x) #s(literal 3/2 binary64)) (.f64 x x)) (.f64 x (.f64 x #s(literal 1/21 binary64)))) (+.f64 (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))) (.f64 (pow.f64 (.f64 x x) #s(literal 3/2 binary64)) (.f64 x (.f64 x #s(literal 1/5 binary64))))))) (/.f64 (pow.f64 (+.f64 (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))) (.f64 (pow.f64 (.f64 x x) #s(literal 3/2 binary64)) (.f64 x (.f64 x #s(literal 1/5 binary64))))) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 (.f64 x x) #s(literal 3/2 binary64)) (.f64 x x)) (.f64 x (.f64 x #s(literal 1/21 binary64)))) (+.f64 (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))) (.f64 (pow.f64 (.f64 x x) #s(literal 3/2 binary64)) (.f64 x (.f64 x #s(literal 1/5 binary64))))))))
(fma.f64 (fabs.f64 x) #s(literal 2 binary64) (+.f64 (.f64 (pow.f64 (.f64 x x) #s(literal 3/2 binary64)) #s(literal 2/3 binary64)) (.f64 (fabs.f64 x) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/21 binary64))))))))
(fma.f64 (fabs.f64 x) #s(literal 2 binary64) (+.f64 (.f64 (fabs.f64 x) (+.f64 (.f64 x (.f64 x #s(literal 2/3 binary64))) (.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) (.f64 x x)))) (.f64 (.f64 (pow.f64 (.f64 x x) #s(literal 3/2 binary64)) (.f64 x x)) (.f64 x (*.f64 x #s(literal 1/21 binary64))))))
(fma.f64 (fabs.f64 x) (.f64 x (.f64 x #s(literal 2/3 binary64))) (+.f64 (.f64 (fabs.f64 x) #s(literal 2 binary64)) (.f64 (fabs.f64 x) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64))))))))
(fma.f64 (fabs.f64 x) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64))))) (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64))))))
(fma.f64 (fabs.f64 x) (.f64 #s(literal 1/21 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (+.f64 (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))) (.f64 (pow.f64 (.f64 x x) #s(literal 3/2 binary64)) (.f64 x (*.f64 x #s(literal 1/5 binary64))))))
(fma.f64 (fabs.f64 x) (.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) (.f64 x x)) (+.f64 (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))) (.f64 (.f64 (pow.f64 (.f64 x x) #s(literal 3/2 binary64)) (.f64 x x)) (.f64 x (*.f64 x #s(literal 1/21 binary64))))))
(fma.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64)))) (.f64 (fabs.f64 x) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/21 binary64)))))))
(fma.f64 (fabs.f64 x) (+.f64 (.f64 x (.f64 x #s(literal 2/3 binary64))) #s(literal 2 binary64)) (.f64 (fabs.f64 x) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/21 binary64)))))))
(fma.f64 (pow.f64 (.f64 x x) #s(literal 3/2 binary64)) #s(literal 2/3 binary64) (+.f64 (.f64 (fabs.f64 x) #s(literal 2 binary64)) (.f64 (fabs.f64 x) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/21 binary64))))))))
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(fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fabs.f64 x) #s(literal 1/5 binary64)) (+.f64 (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))) (.f64 (.f64 (pow.f64 (.f64 x x) #s(literal 3/2 binary64)) (.f64 x x)) (.f64 x (*.f64 x #s(literal 1/21 binary64))))))
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(pow.f64 (/.f64 (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (fabs.f64 x) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))))))
(*.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 x (sqrt.f64 (PI.f64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 1 binary64)))
(fabs.f64 x)
(fabs.f64 (fabs.f64 x))
(fabs.f64 (-.f64 #s(literal 0 binary64) x))
(fabs.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)))
(fabs.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(fabs.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x))))
(fabs.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(fabs.f64 (-.f64 (fabs.f64 x) #s(literal 0 binary64)))
(fabs.f64 (-.f64 x #s(literal 0 binary64)))
(pow.f64 (fabs.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fabs.f64 x))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1 binary64)))
(fabs.f64 (sqrt.f64 (PI.f64)))
(fabs.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))))
(fabs.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))))
(fabs.f64 (-.f64 (sqrt.f64 (PI.f64)) #s(literal 0 binary64)))
(sqrt.f64 (PI.f64))
(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 (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 (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 1/6 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 (fabs.f64 x) (.f64 x (*.f64 x #s(literal 2/3 binary64))))
(.f64 (pow.f64 (.f64 x x) #s(literal 3/2 binary64)) #s(literal 2/3 binary64))
(.f64 #s(literal 2/3 binary64) (pow.f64 (.f64 x x) #s(literal 3/2 binary64)))
(.f64 (.f64 x x) (*.f64 (fabs.f64 x) #s(literal 2/3 binary64)))
(.f64 (.f64 x (*.f64 x #s(literal 2/3 binary64))) (fabs.f64 x))
(.f64 (.f64 #s(literal 2/3 binary64) (fabs.f64 x)) (*.f64 x x))
(.f64 (fabs.f64 x) (.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) (*.f64 x x)))
(.f64 (pow.f64 (.f64 x x) #s(literal 3/2 binary64)) (.f64 x (.f64 x #s(literal 1/5 binary64))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 (fabs.f64 x) #s(literal 1/5 binary64)))
(.f64 (.f64 (pow.f64 (.f64 x x) #s(literal 3/2 binary64)) (.f64 x x)) #s(literal 1/5 binary64))
(.f64 #s(literal 1/5 binary64) (.f64 (pow.f64 (.f64 x x) #s(literal 3/2 binary64)) (.f64 x x)))
(.f64 (.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) (*.f64 x x)) (fabs.f64 x))
(.f64 (.f64 #s(literal 1/5 binary64) (fabs.f64 x)) (.f64 x (.f64 x (*.f64 x x))))
(.f64 (.f64 #s(literal 1/5 binary64) (pow.f64 (.f64 x x) #s(literal 3/2 binary64))) (.f64 x x))
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 3 binary64)))
(fabs.f64 (.f64 x (.f64 x x)))
(fabs.f64 (.f64 (.f64 x x) (-.f64 #s(literal 0 binary64) x)))
(fabs.f64 (neg.f64 (.f64 x (.f64 x x))))
(fabs.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 #s(literal 0 binary64) x))))
(fabs.f64 (.f64 x (neg.f64 (.f64 x x))))
(fabs.f64 (.f64 x (.f64 x (-.f64 #s(literal 0 binary64) x))))
(fabs.f64 (.f64 x (.f64 (-.f64 #s(literal 0 binary64) x) x)))
(fabs.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (neg.f64 (.f64 x x))))
(fabs.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x (-.f64 #s(literal 0 binary64) x))))
(fabs.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (-.f64 #s(literal 0 binary64) x) x)))
(fabs.f64 (.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (.f64 x x)))
(fabs.f64 (.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (neg.f64 (.f64 x x))))
(fabs.f64 (.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (.f64 x (-.f64 #s(literal 0 binary64) x))))
(fabs.f64 (.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (.f64 (-.f64 #s(literal 0 binary64) x) x)))
(fabs.f64 (.f64 (.f64 x x) (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(fabs.f64 (.f64 (neg.f64 (.f64 x x)) x))
(fabs.f64 (.f64 (neg.f64 (.f64 x x)) (-.f64 #s(literal 0 binary64) x)))
(fabs.f64 (.f64 (neg.f64 (.f64 x x)) (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(fabs.f64 (.f64 (.f64 x (-.f64 #s(literal 0 binary64) x)) x))
(fabs.f64 (.f64 (.f64 x (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) x)))
(fabs.f64 (.f64 (.f64 x (-.f64 #s(literal 0 binary64) x)) (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(fabs.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) x) x) x))
(fabs.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) x) x) (-.f64 #s(literal 0 binary64) x)))
(fabs.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) x) x) (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(pow.f64 (fabs.f64 x) #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (fabs.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (fabs.f64 x))) #s(literal 3 binary64))
(.f64 x (.f64 x (fabs.f64 x)))
(.f64 (fabs.f64 x) (.f64 x x))
(.f64 (.f64 x x) (fabs.f64 x))
(.f64 (.f64 (fabs.f64 x) x) x)
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 3/2 binary64)) (pow.f64 (fabs.f64 x) #s(literal 3/2 binary64)))
(.f64 x (.f64 x #s(literal 1/21 binary64)))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1/21 binary64)))
(.f64 #s(literal 1/21 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/21 binary64))
(.f64 (.f64 x #s(literal 1/21 binary64)) x)
(.f64 (.f64 #s(literal 1/21 binary64) (fabs.f64 x)) (fabs.f64 x))
(+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/21 binary64)) (.f64 x (.f64 x #s(literal 1/5 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/21 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) (.f64 x (.f64 x #s(literal 1/5 binary64)))) (-.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/21 binary64)))) (/.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/21 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/21 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/21 binary64)))))
(fma.f64 x (.f64 x #s(literal 1/5 binary64)) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/21 binary64)))
(fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/21 binary64)))) (.f64 x (*.f64 x #s(literal 1/5 binary64))))
(fma.f64 x (.f64 (.f64 x #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) (.f64 x (.f64 x #s(literal 1/21 binary64)))) (.f64 x (*.f64 x #s(literal 1/5 binary64))))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1/5 binary64)) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/21 binary64)))
(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 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/21 binary64)))
(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 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/21 binary64)))
(fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/21 binary64))) (.f64 x (*.f64 x #s(literal 1/5 binary64))))
(fma.f64 (.f64 x (.f64 x #s(literal 1/21 binary64))) (.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 #s(literal 1/5 binary64) x) x (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/21 binary64)))
(fma.f64 (.f64 (.f64 x (.f64 x #s(literal 1/21 binary64))) x) x (.f64 x (*.f64 x #s(literal 1/5 binary64))))
(fma.f64 (.f64 #s(literal 1/5 binary64) (fabs.f64 x)) (fabs.f64 x) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/21 binary64)))
(fma.f64 (.f64 (.f64 x (.f64 x #s(literal 1/21 binary64))) (fabs.f64 x)) (fabs.f64 x) (.f64 x (*.f64 x #s(literal 1/5 binary64))))
(/.f64 (+.f64 (.f64 #s(literal 1/125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 #s(literal 1/9261 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (+.f64 (.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) (.f64 x (.f64 x #s(literal 1/5 binary64)))) (-.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/21 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/21 binary64))) (.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/21 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) (.f64 x (.f64 x #s(literal 1/5 binary64)))) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/21 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/21 binary64)))) (-.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/21 binary64))))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/125 binary64) (.f64 #s(literal 1/9261 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1/25 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/21 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 1/21 binary64))) #s(literal 1/5 binary64)))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/25 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/441 binary64)))) (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal -1/21 binary64) (.f64 x x))))
(/.f64 (.f64 (+.f64 #s(literal 1/125 binary64) (.f64 #s(literal 1/9261 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 x x)) (+.f64 #s(literal 1/25 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/21 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 1/21 binary64))) #s(literal 1/5 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/25 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/441 binary64))) (.f64 x x)) (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal -1/21 binary64) (.f64 x x))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 1/125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 #s(literal 1/9261 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (neg.f64 (+.f64 (.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) (.f64 x (.f64 x #s(literal 1/5 binary64)))) (-.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/21 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/21 binary64))) (.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/21 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) (.f64 x (.f64 x #s(literal 1/5 binary64)))) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/21 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/21 binary64))))) (neg.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/21 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/125 binary64) (.f64 #s(literal 1/9261 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))) (neg.f64 (+.f64 #s(literal 1/25 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/21 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 1/21 binary64))) #s(literal 1/5 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/25 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/441 binary64))))) (neg.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal -1/21 binary64) (.f64 x x)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/125 binary64) (.f64 #s(literal 1/9261 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 x x))) (neg.f64 (+.f64 #s(literal 1/25 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/21 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 1/21 binary64))) #s(literal 1/5 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/25 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/441 binary64))) (.f64 x x))) (neg.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal -1/21 binary64) (.f64 x x)))))
(.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64))))))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64)))))
(.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64)))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64))))) x)
(.f64 (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64)))) (fabs.f64 x)) (fabs.f64 x))

simplify284.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

5416×	`-lowering-.f32`
5416×	`-lowering-.f64`
2560×	`+-lowering-+.f64`
2560×	`+-lowering-+.f32`
1432×	`/-lowering-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	95	1538
1	292	1375
2	1000	1294
3	3611	1250
4	6682	1232
0	8433	1232

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

eval208.0ms (1.8%)

Compiler: Compiled 86077 to 5290 computations (93.9% saved)

prune166.0ms (1.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	1323	9	1332
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	1325	9	1334

Accuracy

100.0%

Counts

1334 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(/.f64 (fabs.f64 (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/21 binary64)))))))))) (sqrt.f64 (PI.f64)))
	99.2%	(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)))))))))
▶	92.2%	(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))))))))
▶	99.9%	(fabs.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))) (.f64 (fabs.f64 x) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/21 binary64)))))))))
	36.3%	(fabs.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))))))
▶	38.5%	(fabs.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (fabs.f64 x) #s(literal 1/21 binary64)))))
▶	66.1%	(fabs.f64 (.f64 (.f64 (fabs.f64 x) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
	92.6%	(fabs.f64 (.f64 (fabs.f64 x) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64))))))))))
	87.6%	(fabs.f64 (.f64 (fabs.f64 x) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64)))))))

Compiler

Compiled 424 to 300 computations (29.2% saved)

simplify163.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fabs.f64 x)
✓	cost-diff	0	(.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/21 binary64)))))))))
✓	cost-diff	0	(fabs.f64 (.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))))))))))
✓	cost-diff	0	(/.f64 (fabs.f64 (.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)))))))))) (sqrt.f64 (PI.f64)))
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))
✓	cost-diff	0	(.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (fabs.f64 x) #s(literal 1/21 binary64))))
✓	cost-diff	6400	(fabs.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (fabs.f64 x) #s(literal 1/21 binary64)))))
✓	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 x (*.f64 x #s(literal 1/5 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 x (*.f64 x #s(literal 1/5 binary64))))))))
✓	cost-diff	0	(fabs.f64 x)
✓	cost-diff	0	(*.f64 (fabs.f64 x) #s(literal 2 binary64))
✓	cost-diff	0	(.f64 (.f64 (fabs.f64 x) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
✓	cost-diff	6400	(fabs.f64 (.f64 (.f64 (fabs.f64 x) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
✓	cost-diff	0	(fabs.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))) (.f64 (fabs.f64 x) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/21 binary64)))))))))
✓	cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))) (.f64 (fabs.f64 x) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/21 binary64))))))))
✓	cost-diff	6784	(+.f64 (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))) (.f64 (fabs.f64 x) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/21 binary64)))))))

Rules

3628×	`-lowering-.f32`
3628×	`-lowering-.f64`
1880×	`sum4-define`
1640×	`+-lowering-+.f64`
1640×	`+-lowering-+.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	50	473
1	183	412
2	713	410
3	2606	410
4	4748	408
0	8717	408

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize350.0ms (3%)

Localize:

Found 20 expressions of interest:

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

Results

243.0ms

256×

valid

Compiler

Compiled 581 to 51 computations (91.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

ival-mult: 42.0ms (44.8% of total)

ival-add: 13.0ms (13.9% of total)

ival-fabs: 13.0ms (13.9% of total)

...c/correct-round.rkt:119:19: 11.0ms (11.7% of total)

ival-div: 8.0ms (8.5% of total)

ival-sqrt: 4.0ms (4.3% of total)

ival-pi: 1.0ms (1.1% of total)

const: 1.0ms (1.1% of total)

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

series24.0ms (0.2%)

Counts

27 → 288

Calls

Call 1

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

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

Calls

72 calls:

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

rewrite437.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

4292×	`-lowering-.f32`
4292×	`-lowering-.f64`
2136×	`fma-lowering-fma.f32`
2136×	`fma-lowering-fma.f64`
1850×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	50	274
1	327	229
2	2907	226
0	8702	226

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 1043

Calls

Call 1

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

Outputs
(+.f64 (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))) (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(+.f64 (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))))
(+.f64 (.f64 (fabs.f64 x) #s(literal 2 binary64)) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))
(+.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))) (.f64 (fabs.f64 x) #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64)))))) (.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))) (.f64 x (.f64 x (.f64 x (.f64 x x)))))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))) (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (.f64 #s(literal 1 binary64) (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64)))))))
(+.f64 (.f64 (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))) #s(literal 1 binary64)) (.f64 (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))) (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64)))
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(cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))
(expm1.f64 (log1p.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 (PI.f64) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal -1 binary64))
(log1p.f64 (expm1.f64 (PI.f64)))
(pow.f64 (PI.f64) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(*.f64 #s(literal 1 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1 binary64))
(*.f64 (PI.f64) (log.f64 (E.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/3 binary64)))
(.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))))) (exp.f64 (.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64))) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)))
(.f64 (cbrt.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))))) (cbrt.f64 (PI.f64)))
(.f64 (sqrt.f64 (.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 x #s(literal 1/5 binary64))
(*.f64 #s(literal 1/5 binary64) x)
(+.f64 (.f64 x (.f64 x #s(literal 2/3 binary64))) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/5 binary64))))
(+.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/5 binary64))) (.f64 x (.f64 x #s(literal 2/3 binary64))))
(fma.f64 x (.f64 x #s(literal 2/3 binary64)) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/5 binary64))))
(fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/5 binary64)) (.f64 x (*.f64 x #s(literal 2/3 binary64))))
(fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5 binary64))) (.f64 x (*.f64 x #s(literal 2/3 binary64))))
(fma.f64 x (.f64 (.f64 x #s(literal 1/5 binary64)) (.f64 x x)) (.f64 x (*.f64 x #s(literal 2/3 binary64))))
(fma.f64 #s(literal 2/3 binary64) (.f64 x x) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/5 binary64))))
(fma.f64 (.f64 x #s(literal 2/3 binary64)) x (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/5 binary64))))
(fma.f64 (.f64 x x) #s(literal 2/3 binary64) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/5 binary64))))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/5 binary64)) (.f64 x (*.f64 x #s(literal 2/3 binary64))))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/5 binary64)) (.f64 x (*.f64 x #s(literal 2/3 binary64))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64))))
(fma.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x (.f64 x x))) (.f64 x (*.f64 x #s(literal 2/3 binary64))))
(fma.f64 (.f64 x #s(literal 1/5 binary64)) (.f64 x (.f64 x x)) (.f64 x (*.f64 x #s(literal 2/3 binary64))))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) (.f64 x (*.f64 x #s(literal 2/3 binary64))))
(fma.f64 (.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x x))) x (.f64 x (*.f64 x #s(literal 2/3 binary64))))
(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/5 binary64)) x) x (.f64 x (*.f64 x #s(literal 2/3 binary64))))
(fma.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/5 binary64))) x (.f64 x (*.f64 x #s(literal 2/3 binary64))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/27 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/125 binary64))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4/9 binary64)) (-.f64 (.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/5 binary64))) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/5 binary64)))) (.f64 (.f64 x (.f64 x #s(literal 2/3 binary64))) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/5 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4/9 binary64)) (.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/5 binary64))) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/5 binary64))))) (-.f64 (.f64 x (.f64 x #s(literal 2/3 binary64))) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/5 binary64)))))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 8/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/125 binary64))))) (+.f64 #s(literal 4/9 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/5 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 1/5 binary64)) #s(literal 2/3 binary64)))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 4/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25 binary64)))) (-.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 8/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/125 binary64)))) (.f64 x x)) (+.f64 #s(literal 4/9 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/5 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 1/5 binary64)) #s(literal 2/3 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 4/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25 binary64))) (.f64 x x)) (-.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64))))
(.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64))))
(.f64 (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))) x)
(fabs.f64 (*.f64 (fabs.f64 x) #s(literal 1/21 binary64)))
(fabs.f64 (neg.f64 (*.f64 (fabs.f64 x) #s(literal 1/21 binary64))))
(*.f64 (fabs.f64 x) #s(literal 1/21 binary64))
(*.f64 #s(literal 1/21 binary64) (fabs.f64 x))
(fabs.f64 (/.f64 (*.f64 (fabs.f64 x) #s(literal 1/21 binary64)) (sqrt.f64 (PI.f64))))
(fabs.f64 (neg.f64 (/.f64 (*.f64 (fabs.f64 x) #s(literal 1/21 binary64)) (sqrt.f64 (PI.f64)))))
(fabs.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 (fabs.f64 x) #s(literal 1/21 binary64)) (sqrt.f64 (PI.f64))))))
(fabs.f64 (.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (.f64 (fabs.f64 x) #s(literal 1/21 binary64))))
(fabs.f64 (.f64 (.f64 (fabs.f64 x) #s(literal 1/21 binary64)) (neg.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (fabs.f64 x) #s(literal 1/21 binary64)) (sqrt.f64 (PI.f64)))
(/.f64 (.f64 (.f64 (fabs.f64 x) #s(literal 1/21 binary64)) #s(literal 1 binary64)) (sqrt.f64 (PI.f64)))
(/.f64 (.f64 (.f64 (fabs.f64 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) (.f64 (fabs.f64 x) #s(literal 1/21 binary64))) (sqrt.f64 (PI.f64)))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (fabs.f64 x) #s(literal 1/21 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (fabs.f64 (.f64 (.f64 (fabs.f64 x) #s(literal 1/21 binary64)) #s(literal 1 binary64))) (sqrt.f64 (PI.f64)))
(/.f64 (fabs.f64 (.f64 (.f64 (fabs.f64 x) #s(literal 1/21 binary64)) #s(literal -1 binary64))) (sqrt.f64 (PI.f64)))
(/.f64 (fabs.f64 (.f64 #s(literal 1 binary64) (.f64 (fabs.f64 x) #s(literal 1/21 binary64)))) (sqrt.f64 (PI.f64)))
(/.f64 (fabs.f64 (.f64 #s(literal -1 binary64) (.f64 (fabs.f64 x) #s(literal 1/21 binary64)))) (sqrt.f64 (PI.f64)))
(.f64 (fabs.f64 x) (.f64 #s(literal 1/21 binary64) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(.f64 (fabs.f64 x) (fabs.f64 (.f64 #s(literal 1/21 binary64) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
(.f64 #s(literal 1/21 binary64) (fabs.f64 (.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (fabs.f64 x) #s(literal 1/21 binary64)) (sqrt.f64 (PI.f64))))
(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 (fabs.f64 x) #s(literal 1/21 binary64)))
(.f64 (fabs.f64 (.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) #s(literal 1/21 binary64))
(.f64 (.f64 (fabs.f64 x) #s(literal 1/21 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 1/21 binary64)) (fabs.f64 x))
(.f64 (.f64 (*.f64 (fabs.f64 x) #s(literal 1/21 binary64)) #s(literal 1 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(.f64 (fabs.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 1/21 binary64))) (fabs.f64 x))
(.f64 (fabs.f64 (.f64 (*.f64 (fabs.f64 x) #s(literal 1/21 binary64)) #s(literal 1 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))

simplify280.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

6156×	`-lowering-.f32`
6156×	`-lowering-.f64`
2242×	`+-lowering-+.f64`
2242×	`+-lowering-+.f32`
1600×	`/-lowering-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	141	3438
1	493	3053
2	1656	2858
3	4266	2802
4	6891	2786
0	8720	2786

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

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

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

eval260.0ms (2.3%)

Compiler: Compiled 63063 to 4518 computations (92.8% saved)

prune195.0ms (1.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	1784	9	1793
Fresh	4	0	4
Picked	5	0	5
Done	0	0	0
Total	1793	9	1802

Accuracy

100.0%

Counts

1802 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	65.7%	(/.f64 (*.f64 (fabs.f64 x) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))
	99.4%	(/.f64 (fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))) x)) (sqrt.f64 (PI.f64)))
	65.7%	(/.f64 #s(literal 2 binary64) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) x)))
▶	38.5%	(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 (.f64 (fabs.f64 x) #s(literal 1/21 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))
▶	99.8%	(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))))))
	38.6%	(.f64 (/.f64 (.f64 (fabs.f64 x) #s(literal 1/21 binary64)) (sqrt.f64 (PI.f64))) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))
▶	66.1%	(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (fabs.f64 x))
▶	38.5%	(.f64 (.f64 (/.f64 (.f64 (fabs.f64 x) #s(literal 1/21 binary64)) (sqrt.f64 (PI.f64))) (.f64 x (.f64 x (.f64 x x)))) (*.f64 x x))
	38.5%	(.f64 (.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 (fabs.f64 x) #s(literal 1/21 binary64)) (sqrt.f64 (PI.f64)))) (.f64 x (*.f64 x x)))

Compiler

Compiled 316 to 216 computations (31.6% saved)

simplify164.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

2398×	`-lowering-.f32`
2398×	`-lowering-.f64`
2388×	`fma-define`
1932×	`associate-r`
1316×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	305
1	103	262
2	340	256
3	1069	256
4	1841	256
5	2957	256
6	3964	256
7	4445	256
8	4577	256
9	4578	256
10	4578	256
11	5572	256
12	5699	256
13	5699	256
14	5866	256
15	5866	256
16	6105	256
0	6105	256

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
(/ (* (fabs x) 2) (sqrt (PI)))
(* (fabs x) 2)
(fabs x)
x
2
(sqrt (PI))
(PI)
(* (* (/ (* (fabs x) 1/21) (sqrt (PI))) (* x (* x (* x x)))) (* x x))
(* (/ (* (fabs x) 1/21) (sqrt (PI))) (* x (* x (* x x))))
(/ (* (fabs x) 1/21) (sqrt (PI)))
(* (fabs x) 1/21)
(fabs x)
x
1/21
(sqrt (PI))
(PI)
(* x (* x (* x x)))
(* x (* x x))
(* x x)
(* (pow (PI) -1/2) (* (* (fabs x) 1/21) (* x (* x (* x (* x (* x x)))))))
(pow (PI) -1/2)
(PI)
-1/2
(* (* (fabs x) 1/21) (* x (* x (* x (* x (* x x))))))
(* (fabs x) 1/21)
(fabs x)
x
1/21
(* x (* x (* x (* x (* x x)))))
(* x (* x (* x (* x x))))
(* x (* x (* x x)))
(* x (* x x))
(* x x)

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

localize272.0ms (2.4%)

Localize:

Found 20 expressions of interest:

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

Results

198.0ms

256×

valid

Compiler

Compiled 358 to 36 computations (89.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-mult: 31.0ms (48% of total)

...c/correct-round.rkt:119:19: 11.0ms (17% of total)

ival-div: 6.0ms (9.3% of total)

ival-pow: 6.0ms (9.3% of total)

ival-add: 4.0ms (6.2% of total)

ival-fabs: 3.0ms (4.6% of total)

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

ival-pi: 1.0ms (1.5% of total)

const: 1.0ms (1.5% 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 (/ (* (fabs x) 2) (sqrt (PI)))>
#<alt (* (fabs x) 2)>
#<alt (fabs x)>
#<alt (* (* (/ (* (fabs x) 1/21) (sqrt (PI))) (* x (* x (* x x)))) (* x x))>
#<alt (* (/ (* (fabs x) 1/21) (sqrt (PI))) (* x (* x (* x x))))>
#<alt (/ (* (fabs x) 1/21) (sqrt (PI)))>
#<alt (* (fabs x) 1/21)>
#<alt (* (pow (PI) -1/2) (* (* (fabs x) 1/21) (* x (* x (* x (* x (* x x)))))))>
#<alt (* (* (fabs x) 1/21) (* x (* x (* x (* x (* 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 (* x (* x x))>
#<alt (* x (* x (* x (* x x))))>

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

Calls

54 calls:

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

rewrite346.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

4680×	`-lowering-.f32`
4680×	`-lowering-.f64`
3020×	`/-lowering-/.f32`
3020×	`/-lowering-/.f64`
1454×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	190
1	194	160
2	1347	157
0	8250	157

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 673

Calls

Call 1

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

Outputs
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))) (sqrt.f64 (PI.f64)))
(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))))))
(.f64 (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 (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 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 x)) (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 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)))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (PI.f64))))
(exp.f64 (.f64 (.f64 (log.f64 (PI.f64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (PI.f64))) #s(literal -1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (PI.f64)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 (PI.f64)) #s(literal -1/4 binary64)) (.f64 (log.f64 (PI.f64)) #s(literal -1/4 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))))
(pow.f64 (PI.f64) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal -3/2 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))
(pow.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -1/6 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (PI.f64) #s(literal -1/4 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/8 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/6 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/6 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal -1 binary64)) (pow.f64 (PI.f64) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) #s(literal -1/4 binary64)) (pow.f64 (PI.f64) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal -1/4 binary64)) (pow.f64 (PI.f64) #s(literal -1/8 binary64)))
(.f64 (pow.f64 (.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal -1/4 binary64)) (pow.f64 (PI.f64) #s(literal -1/12 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal -1/12 binary64)) #s(literal 2 binary64)))
(*.f64 (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)))
(PI.f64)
(log.f64 (exp.f64 (PI.f64)))
(+.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) #s(literal -1 binary64))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (.f64 (.f64 (log.f64 (PI.f64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (PI.f64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/3 binary64)))
(fabs.f64 (PI.f64))
(-.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1 binary64))
(sqrt.f64 (*.f64 (PI.f64) (PI.f64)))
(cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))
(expm1.f64 (log1p.f64 (PI.f64)))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) (+.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) (+.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(pow.f64 (PI.f64) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(*.f64 (PI.f64) #s(literal 1 binary64))
(*.f64 (PI.f64) (log.f64 (E.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64)))))
(*.f64 #s(literal 1 binary64) (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/3 binary64)))
(.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))))) (exp.f64 (.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64))) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)))
(.f64 (cbrt.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))))) (cbrt.f64 (PI.f64)))
(.f64 (sqrt.f64 (.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(.f64 (.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)) (cbrt.f64 (PI.f64))) (*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)) (cbrt.f64 (PI.f64))))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64))))
(fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64))))))))))
(fabs.f64 (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 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))))))))) #s(literal 0 binary64)))
(/.f64 (fabs.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #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 (.f64 x (.f64 x (.f64 x x))) (.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 #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 (.f64 x x) #s(literal 4 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.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 #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 #s(literal -2 binary64)) (.f64 (.f64 x (.f64 x x)) (+.f64 #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 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))))))) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 (.f64 x (.f64 x x)) (+.f64 #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 #s(literal 2 binary64)) (.f64 (.f64 x (.f64 x x)) (+.f64 #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 8 binary64) (.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 (.f64 x (.f64 x (.f64 x x))) (.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 #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 #s(literal 4 binary64) (.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 (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))))) #s(literal -2 binary64))))))
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(/.f64 (-.f64 (.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) (.f64 #s(literal 2/3 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))) (.f64 x x)) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))) (.f64 x x)))) (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))) (.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 (.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 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))) (.f64 x x))) (.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) (.f64 #s(literal 2/3 binary64) (.f64 x x)))) (-.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))) (.f64 x x)) (.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 (.f64 (.f64 x x) (+.f64 #s(literal 8/27 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4/9 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))) #s(literal -2/3 binary64))))))
(.f64 (.f64 (.f64 x x) (-.f64 #s(literal 4/9 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64)))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/21 binary64))))))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 5 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 x) #s(literal 3 binary64))))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 (log.f64 x) #s(literal 2 binary64))))
(pow.f64 x #s(literal 5 binary64))
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(.f64 (.f64 x x) (.f64 x (.f64 x x)))
(.f64 (.f64 x (.f64 x x)) (.f64 x x))
(.f64 (.f64 x (.f64 x (.f64 x x))) x)
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64)))
(.f64 (.f64 x (pow.f64 x #s(literal 3/2 binary64))) (*.f64 x (pow.f64 x #s(literal 3/2 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) x) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) x))

simplify231.0ms (2%)

Algorithm

1×	egg-herbie

Rules

2434×	`-lowering-.f32`
2434×	`-lowering-.f64`
1536×	`fma-lowering-fma.f32`
1536×	`fma-lowering-fma.f64`
1442×	`fma-define`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	76	2042
1	232	1806
2	631	1806
3	1622	1806
4	3413	1804
5	5924	1800
0	8080	1800

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

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

eval154.0ms (1.3%)

Compiler: Compiled 29822 to 2913 computations (90.2% saved)

prune119.0ms (1%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	1268	4	1272
Fresh	2	2	4
Picked	2	3	5
Done	0	0	0
Total	1272	9	1281

Accuracy

100.0%

Counts

1281 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	38.6%	(/.f64 (.f64 (.f64 (fabs.f64 x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/21 binary64))))) (*.f64 x x)) (sqrt.f64 (PI.f64)))
✓	65.7%	(/.f64 (*.f64 (fabs.f64 x) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))
▶	99.4%	(/.f64 (fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))) x)) (sqrt.f64 (PI.f64)))
▶	65.7%	(/.f64 #s(literal 2 binary64) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) x)))
	92.6%	(.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))))))))
▶	87.6%	(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64)))))))
✓	66.1%	(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (fabs.f64 x))
✓	38.5%	(.f64 (.f64 (/.f64 (.f64 (fabs.f64 x) #s(literal 1/21 binary64)) (sqrt.f64 (PI.f64))) (.f64 x (.f64 x (.f64 x x)))) (*.f64 x x))
▶	38.6%	(.f64 #s(literal 1/21 binary64) (/.f64 (.f64 (fabs.f64 x) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))) (sqrt.f64 (PI.f64))))

Compiler

Compiled 256 to 180 computations (29.7% saved)

simplify128.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

2624×	`fma-define`
1518×	`-lowering-.f32`
1518×	`-lowering-.f64`
1312×	`fma-lowering-fma.f32`
1312×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	350
1	115	297
2	334	287
3	960	287
4	1567	287
5	2589	287
6	3623	287
7	3959	287
8	4052	287
9	4052	287
10	4316	287
11	4316	287
12	4436	287
13	4571	287
0	4571	287

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize309.0ms (2.7%)

Localize:

Found 20 expressions of interest:

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

Results

237.0ms

256×

valid

Compiler

Compiled 415 to 43 computations (89.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

ival-mult: 53.0ms (56.6% of total)

...c/correct-round.rkt:119:19: 11.0ms (11.7% of total)

ival-div: 9.0ms (9.6% of total)

ival-add: 5.0ms (5.3% of total)

ival-fabs: 5.0ms (5.3% of total)

ival-pow: 5.0ms (5.3% of total)

ival-sqrt: 2.0ms (2.1% of total)

ival-pi: 1.0ms (1.1% of total)

const: 1.0ms (1.1% of total)

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

series29.0ms (0.3%)

Counts

28 → 300

Calls

Call 1

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

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

Calls

75 calls:

Time	Variable		Point	Expression
17.0ms	x	@	-inf	(* x (* (* x x) 1/21))
1.0ms	x	@	0	(/ (sqrt (PI)) x)
0.0ms	x	@	-inf	(/ 2 (fabs (/ (sqrt (PI)) x)))
0.0ms	x	@	0	(/ 2 (fabs (/ (sqrt (PI)) x)))
0.0ms	x	@	inf	(/ 2 (fabs (/ (sqrt (PI)) x)))

rewrite564.0ms (4.9%)

Algorithm

1×	batch-egg-rewrite

Rules

4008×	`-lowering-.f32`
4008×	`-lowering-.f64`
3262×	`/-lowering-/.f32`
3262×	`/-lowering-/.f64`
1682×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	254
1	232	212
2	1620	209
0	8092	209

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 564

Calls

Call 1

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

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

simplify225.0ms (2%)

Algorithm

1×	egg-herbie

Rules

2502×	`-lowering-.f32`
2502×	`-lowering-.f64`
1642×	`fnmadd-define`
1442×	`+-lowering-+.f64`
1442×	`+-lowering-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	105	2692
1	332	2355
2	989	2350
3	2798	2340
4	5309	2340
0	8322	2340

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

Calls

Call 1

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

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

eval193.0ms (1.7%)

Compiler: Compiled 30559 to 2761 computations (91% saved)

prune137.0ms (1.2%)

Pruning

16 alts after pruning (8 fresh and 8 done)

	Pruned	Kept	Total
New	1171	7	1178
Fresh	0	1	1
Picked	0	5	5
Done	0	3	3
Total	1171	16	1187

Accuracy

100.0%

Counts

1187 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	38.6%	(/.f64 (.f64 (.f64 (fabs.f64 x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/21 binary64))))) (*.f64 x x)) (sqrt.f64 (PI.f64)))
✓	65.7%	(/.f64 (*.f64 (fabs.f64 x) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))
	92.2%	(/.f64 (fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))) x)) (sqrt.f64 (PI.f64)))
	87.2%	(/.f64 (fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 2/3 binary64))) x)) (sqrt.f64 (PI.f64)))
✓	99.4%	(/.f64 (fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))) x)) (sqrt.f64 (PI.f64)))
	87.2%	(/.f64 (fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64)))) x)) (sqrt.f64 (PI.f64)))
	65.7%	(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 x (sqrt.f64 (PI.f64))))))
	65.7%	(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (sqrt.f64 (PI.f64))))
✓	65.7%	(/.f64 #s(literal 2 binary64) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) x)))
	87.6%	(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (+.f64 (.f64 (.f64 x x) (.f64 x #s(literal 2/3 binary64))) (*.f64 #s(literal 2 binary64) x))))
	92.6%	(.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))))))))
✓	87.6%	(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64)))))))
	26.9%	(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (.f64 (.f64 x x) #s(literal 2/3 binary64)))))
✓	66.1%	(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (fabs.f64 x))
✓	38.5%	(.f64 (.f64 (/.f64 (.f64 (fabs.f64 x) #s(literal 1/21 binary64)) (sqrt.f64 (PI.f64))) (.f64 x (.f64 x (.f64 x x)))) (*.f64 x x))
✓	38.6%	(.f64 #s(literal 1/21 binary64) (/.f64 (.f64 (fabs.f64 x) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))) (sqrt.f64 (PI.f64))))

Compiler

Compiled 853 to 353 computations (58.6% saved)

regimes53.0ms (0.5%)

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

Calls

5 calls:

11.0ms	(fabs.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (.f64 #s(literal 2 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))))
11.0ms	(+.f64 (+.f64 (+.f64 (.f64 #s(literal 2 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))
9.0ms	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (.f64 #s(literal 2 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 5 binary64)) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 21 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))
9.0ms	(fabs.f64 x)
9.0ms	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)

regimes23.0ms (0.2%)

Counts

29 → 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))))))
(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (.f64 (.f64 x x) #s(literal 2/3 binary64)))))
(/.f64 (fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64)))) x)) (sqrt.f64 (PI.f64)))
(/.f64 (fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 2/3 binary64))) x)) (sqrt.f64 (PI.f64)))
(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64)))))))
(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (+.f64 (.f64 (.f64 x x) (.f64 x #s(literal 2/3 binary64))) (*.f64 #s(literal 2 binary64) x))))
(.f64 #s(literal 1/21 binary64) (/.f64 (.f64 (fabs.f64 x) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 (fabs.f64 x) #s(literal 1/21 binary64)) (sqrt.f64 (PI.f64)))) (.f64 x (*.f64 x x)))
(.f64 (.f64 (/.f64 (.f64 (fabs.f64 x) #s(literal 1/21 binary64)) (sqrt.f64 (PI.f64))) (.f64 x (.f64 x (.f64 x x)))) (*.f64 x x))
(.f64 (/.f64 (.f64 (fabs.f64 x) #s(literal 1/21 binary64)) (sqrt.f64 (PI.f64))) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))
(/.f64 (fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))) x)) (sqrt.f64 (PI.f64)))
(/.f64 (.f64 (.f64 (fabs.f64 x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/21 binary64))))) (*.f64 x x)) (sqrt.f64 (PI.f64)))
(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.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)) (.f64 (.f64 (fabs.f64 x) #s(literal 1/21 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))
(/.f64 (fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))) x)) (sqrt.f64 (PI.f64)))
(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.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)))))
(fabs.f64 (.f64 (fabs.f64 x) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64)))))))
(fabs.f64 (.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64))))))))
(fabs.f64 (.f64 (fabs.f64 x) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64))))))))))
(fabs.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (fabs.f64 x) #s(literal 1/21 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 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/21 binary64)))))))))) (sqrt.f64 (PI.f64)))
(fabs.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (+.f64 #s(literal 1/21 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))))))

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:

8.0ms	x
8.0ms	(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)

regimes14.0ms (0.1%)

Counts

19 → 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))))))
(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (.f64 (.f64 x x) #s(literal 2/3 binary64)))))
(/.f64 (fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64)))) x)) (sqrt.f64 (PI.f64)))
(/.f64 (fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 2/3 binary64))) x)) (sqrt.f64 (PI.f64)))
(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64)))))))
(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (+.f64 (.f64 (.f64 x x) (.f64 x #s(literal 2/3 binary64))) (*.f64 #s(literal 2 binary64) x))))
(.f64 #s(literal 1/21 binary64) (/.f64 (.f64 (fabs.f64 x) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 (fabs.f64 x) #s(literal 1/21 binary64)) (sqrt.f64 (PI.f64)))) (.f64 x (*.f64 x x)))
(.f64 (.f64 (/.f64 (.f64 (fabs.f64 x) #s(literal 1/21 binary64)) (sqrt.f64 (PI.f64))) (.f64 x (.f64 x (.f64 x x)))) (*.f64 x x))
(.f64 (/.f64 (.f64 (fabs.f64 x) #s(literal 1/21 binary64)) (sqrt.f64 (PI.f64))) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))
(/.f64 (fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))) x)) (sqrt.f64 (PI.f64)))
(/.f64 (.f64 (.f64 (fabs.f64 x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/21 binary64))))) (*.f64 x x)) (sqrt.f64 (PI.f64)))
(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.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)) (.f64 (.f64 (fabs.f64 x) #s(literal 1/21 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))
(/.f64 (fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))) x)) (sqrt.f64 (PI.f64)))

Outputs

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

Calls

2 calls:

6.0ms	(fabs.f64 x)
6.0ms	x

Results

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

Compiler

Compiled 5 to 3 computations (40% saved)

regimes15.0ms (0.1%)

Counts

18 → 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))))))
(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (.f64 (.f64 x x) #s(literal 2/3 binary64)))))
(/.f64 (fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64)))) x)) (sqrt.f64 (PI.f64)))
(/.f64 (fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 2/3 binary64))) x)) (sqrt.f64 (PI.f64)))
(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64)))))))
(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (+.f64 (.f64 (.f64 x x) (.f64 x #s(literal 2/3 binary64))) (*.f64 #s(literal 2 binary64) x))))
(.f64 #s(literal 1/21 binary64) (/.f64 (.f64 (fabs.f64 x) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 (fabs.f64 x) #s(literal 1/21 binary64)) (sqrt.f64 (PI.f64)))) (.f64 x (*.f64 x x)))
(.f64 (.f64 (/.f64 (.f64 (fabs.f64 x) #s(literal 1/21 binary64)) (sqrt.f64 (PI.f64))) (.f64 x (.f64 x (.f64 x x)))) (*.f64 x x))
(.f64 (/.f64 (.f64 (fabs.f64 x) #s(literal 1/21 binary64)) (sqrt.f64 (PI.f64))) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))
(/.f64 (fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))) x)) (sqrt.f64 (PI.f64)))
(/.f64 (.f64 (.f64 (fabs.f64 x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/21 binary64))))) (*.f64 x x)) (sqrt.f64 (PI.f64)))
(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.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)) (.f64 (.f64 (fabs.f64 x) #s(literal 1/21 binary64)) (.f64 x (.f64 x (.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 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))))))))

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

Calls

2 calls:

7.0ms	(fabs.f64 x)
6.0ms	x

Results

Accuracy	Segments	Branch
99.8%	2	`x`
99.8%	2	`(fabs.f64 x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes16.0ms (0.1%)

Counts

16 → 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))))))
(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (.f64 (.f64 x x) #s(literal 2/3 binary64)))))
(/.f64 (fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64)))) x)) (sqrt.f64 (PI.f64)))
(/.f64 (fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 2/3 binary64))) x)) (sqrt.f64 (PI.f64)))
(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64)))))))
(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (+.f64 (.f64 (.f64 x x) (.f64 x #s(literal 2/3 binary64))) (*.f64 #s(literal 2 binary64) x))))
(.f64 #s(literal 1/21 binary64) (/.f64 (.f64 (fabs.f64 x) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 (fabs.f64 x) #s(literal 1/21 binary64)) (sqrt.f64 (PI.f64)))) (.f64 x (*.f64 x x)))
(.f64 (.f64 (/.f64 (.f64 (fabs.f64 x) #s(literal 1/21 binary64)) (sqrt.f64 (PI.f64))) (.f64 x (.f64 x (.f64 x x)))) (*.f64 x x))
(.f64 (/.f64 (.f64 (fabs.f64 x) #s(literal 1/21 binary64)) (sqrt.f64 (PI.f64))) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))
(/.f64 (fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))) x)) (sqrt.f64 (PI.f64)))
(/.f64 (.f64 (.f64 (fabs.f64 x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/21 binary64))))) (*.f64 x x)) (sqrt.f64 (PI.f64)))

Outputs

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

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

Calls

2 calls:

10.0ms	x
5.0ms	(fabs.f64 x)

Results

Accuracy	Segments	Branch
99.7%	2	`x`
99.7%	2	`(fabs.f64 x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes8.0ms (0.1%)

Counts

10 → 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))))))
(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (.f64 (.f64 x x) #s(literal 2/3 binary64)))))
(/.f64 (fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64)))) x)) (sqrt.f64 (PI.f64)))
(/.f64 (fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 2/3 binary64))) x)) (sqrt.f64 (PI.f64)))
(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64)))))))
(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (+.f64 (.f64 (.f64 x x) (.f64 x #s(literal 2/3 binary64))) (*.f64 #s(literal 2 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 #s(literal 2/3 binary64)))))))

Calls

2 calls:

4.0ms	(fabs.f64 x)
4.0ms	x

Results

Accuracy	Segments	Branch
87.6%	1	`x`
87.6%	1	`(fabs.f64 x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes7.0ms (0.1%)

Counts

8 → 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))))))
(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (.f64 (.f64 x x) #s(literal 2/3 binary64)))))
(/.f64 (fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64)))) x)) (sqrt.f64 (PI.f64)))
(/.f64 (fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 2/3 binary64))) x)) (sqrt.f64 (PI.f64)))

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

Calls

2 calls:

3.0ms	(fabs.f64 x)
3.0ms	x

Results

Accuracy	Segments	Branch
87.2%	1	`x`
87.2%	1	`(fabs.f64 x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes7.0ms (0.1%)

Counts

6 → 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))))))
(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (.f64 (.f64 x x) #s(literal 2/3 binary64)))))

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

Calls

2 calls:

4.0ms	(fabs.f64 x)
2.0ms	x

Results

Accuracy	Segments	Branch
87.0%	2	`x`
87.0%	2	`(fabs.f64 x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes5.0ms (0%)

Accuracy

Total -0.4b remaining (-2.1%)

Threshold costs -0.4b (-2.1%)

Counts

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	x
2.0ms	(fabs.f64 x)

Results

Accuracy	Segments	Branch
66.1%	1	`x`
66.1%	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	0.009311129009334795	60834691852.8661

Compiler

Compiled 57 to 31 computations (45.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.009311129009334795	60834691852.8661

Compiler

Compiled 57 to 31 computations (45.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.009311129009334795	60834691852.8661

Compiler

Compiled 57 to 31 computations (45.6% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

60×	`*-commutative_binary64`
32×	`fabs-mul_binary64`
16×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	226
1	123	226
2	133	226
3	136	226
4	138	226
5	138	226

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fabs.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))) (.f64 (fabs.f64 x) (.f64 (.f64 x (.f64 x (.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 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 (+.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)))))))) x)) (sqrt.f64 (PI.f64)))
(if (<=.f64 (fabs.f64 x) #s(literal 5764607523034235/576460752303423488 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 #s(literal 1/21 binary64) (/.f64 (.f64 (fabs.f64 x) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))) (sqrt.f64 (PI.f64)))))
(if (<=.f64 (fabs.f64 x) #s(literal 5764607523034235/576460752303423488 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))))) (.f64 #s(literal 1/21 binary64) (/.f64 (.f64 (fabs.f64 x) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))) (sqrt.f64 (PI.f64)))))
(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64)))))))
(/.f64 (fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64)))) x)) (sqrt.f64 (PI.f64)))
(if (<=.f64 (fabs.f64 x) #s(literal 5764607523034235/576460752303423488 binary64)) (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 2/3 binary64))))))
(*.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 (fabs.f64 x) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))) (.f64 (fabs.f64 x) (.f64 (.f64 x (.f64 x (.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 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 (+.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)))))))) x)) (sqrt.f64 (PI.f64)))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/21 binary64)))))))))) (sqrt.f64 (PI.f64)))
(if (<=.f64 (fabs.f64 x) #s(literal 5764607523034235/576460752303423488 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 #s(literal 1/21 binary64) (/.f64 (.f64 (fabs.f64 x) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))) (sqrt.f64 (PI.f64)))))
(if (<=.f64 (fabs.f64 x) #s(literal 5764607523034235/576460752303423488 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64))))))) (.f64 #s(literal 1/21 binary64) (/.f64 (.f64 (fabs.f64 x) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))) (sqrt.f64 (PI.f64)))))
(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2/3 binary64)))))))
(/.f64 (fabs.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64)))) x)) (sqrt.f64 (PI.f64)))
(/.f64 (fabs.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 2/3 binary64)))))) (sqrt.f64 (PI.f64)))
(if (<=.f64 (fabs.f64 x) #s(literal 5764607523034235/576460752303423488 binary64)) (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 2/3 binary64))))))
(if (<=.f64 (fabs.f64 x) #s(literal 5764607523034235/576460752303423488 binary64)) (.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (fabs.f64 (.f64 x (.f64 #s(literal 2/3 binary64) (*.f64 x x))))))
(*.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 (20.1%)

Rules

5416×	`-lowering-.f32`
5416×	`-lowering-.f64`
5234×	`-lowering-.f32`
5234×	`-lowering-.f64`
4680×	`-lowering-.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	190
1	194	160
2	1347	157
0	8250	157
0	50	274
1	327	229
2	2907	226
0	8702	226
0	76	2042
1	232	1806
2	631	1806
3	1622	1806
4	3413	1804
5	5924	1800
0	8080	1800
0	31	45
1	78	31
2	263	24
3	1282	23
4	2597	23
5	4587	23
6	5668	23
7	5940	23
8	5968	23
9	5970	23
10	5970	23
11	7671	23
12	7816	23
13	7917	23
0	8041	23
0	38	133
1	221	107
2	2080	104
0	8187	104
0	105	2692
1	332	2355
2	989	2350
3	2798	2340
4	5309	2340
0	8322	2340
0	95	1538
1	292	1375
2	1000	1294
3	3611	1250
4	6682	1232
0	8433	1232

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 354 to 169 computations (52.3% saved)

preprocess58.0ms (0.5%)

Remove: (abs x)
Compiler: Compiled 878 to 386 computations (56% saved)

analyze0.0ms (0%)

sample2.1s (18.7%)

preprocess318.0ms (2.8%)

explain366.0ms (3.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify233.0ms (2%)

localize215.0ms (1.9%)

series23.0ms (0.2%)

rewrite396.0ms (3.4%)

simplify284.0ms (2.5%)

eval208.0ms (1.8%)

prune166.0ms (1.4%)

simplify163.0ms (1.4%)

localize350.0ms (3%)

series24.0ms (0.2%)

rewrite437.0ms (3.8%)

simplify280.0ms (2.4%)

eval260.0ms (2.3%)

prune195.0ms (1.7%)

simplify164.0ms (1.4%)

localize272.0ms (2.4%)

series9.0ms (0.1%)

rewrite346.0ms (3%)

simplify231.0ms (2%)

eval154.0ms (1.3%)

prune119.0ms (1%)

simplify128.0ms (1.1%)

localize309.0ms (2.7%)

series29.0ms (0.3%)

rewrite564.0ms (4.9%)

simplify225.0ms (2%)

eval193.0ms (1.7%)

prune137.0ms (1.2%)

regimes53.0ms (0.5%)

regimes23.0ms (0.2%)

regimes14.0ms (0.1%)

regimes15.0ms (0.1%)

regimes16.0ms (0.1%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify14.0ms (0.1%)

soundness2.3s (20.1%)

preprocess58.0ms (0.5%)

end0.0ms (0%)

Profiling