Metrics for Data.Approximate.Numerics:blog from approximate-0.2.2.1

analyze2.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
50%	50%	50%	0%	0%	0%	0%	2
66.7%	50%	25%	0%	0%	25%	0%	3
80%	50%	12.5%	0%	0%	37.5%	0%	4
88.9%	50%	6.2%	0%	0%	43.7%	0%	5
94.1%	50%	3.1%	0%	0%	46.9%	0%	6
97%	50%	1.6%	0%	0%	48.4%	0%	7
98.5%	50%	0.8%	0%	0%	49.2%	0%	8
99.2%	50%	0.4%	0%	0%	49.6%	0%	9
99.6%	50%	0.2%	0%	0%	49.8%	0%	10
99.8%	50%	0.1%	0%	0%	49.9%	0%	11
99.9%	50%	0%	0%	0%	49.9%	0%	12

Compiler

Compiled 16 to 12 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

ival-add: 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)

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

sample1.1s (11%)

Results

852.0ms	8256×	0	valid
1.0ms	9×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 545.0ms

ival-mult: 150.0ms (27.5% of total)

ival-add: 125.0ms (22.9% of total)

ival-sub: 103.0ms (18.9% of total)

ival-sqrt: 95.0ms (17.4% of total)

ival-div: 52.0ms (9.5% of total)

const: 18.0ms (3.3% of total)

backward-pass: 3.0ms (0.6% of total)

Bogosity

preprocess173.0ms (1.7%)

Algorithm

2×	egg-herbie

Rules

2438×	`fnmadd-define`
2132×	`fnmadd-define`
1572×	`sum3-define`
1546×	`fmsub-define`
1446×	`fnmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	46
1	52	43
2	138	40
3	377	38
4	1044	38
5	2723	38
6	5935	38
0	11	13
1	25	13
2	49	12
3	66	12
4	87	12
5	133	12
6	212	12
7	396	12
8	812	12
9	1391	12
10	3191	12
11	5730	12
12	6123	12
13	6131	12
0	6131	12

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

Inputs
(/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x))))

Outputs

(/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x))))

(/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))

Call 2

Inputs
(/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x))))
(/ (* 6 (- (neg x) 1)) (+ (+ (neg x) 1) (* 4 (sqrt (neg x)))))
(neg (/ (* 6 (- (neg x) 1)) (+ (+ (neg x) 1) (* 4 (sqrt (neg x))))))

Outputs
(/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x))))
(/ (fnmsub x -6 6) (fmsub 4 (sqrt x) (- -1 x)))
(/ (* 6 (- (neg x) 1)) (+ (+ (neg x) 1) (* 4 (sqrt (neg x)))))
(/ (fnmsub 6 x 6) (fnmsub (sqrt (neg x)) -4 (+ x -1)))
(neg (/ (* 6 (- (neg x) 1)) (+ (+ (neg x) 1) (* 4 (sqrt (neg x))))))
(/ (fnmsub 6 x 6) (fnmsub 4 (sqrt (neg x)) (- 1 x)))

explain117.0ms (1.2%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))`
0	-	-	`(*.f64 #s(literal 4 binary64) (sqrt.f64 x))`
0	-	-	`x`
0	-	-	`(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))`
0	-	-	`(-.f64 x #s(literal 1 binary64))`
0	-	-	`#s(literal 6 binary64)`
0	-	-	`#s(literal 4 binary64)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))`
0	-	-	`(sqrt.f64 x)`
0	-	-	`(+.f64 x #s(literal 1 binary64))`

Results

66.0ms	474×	0	valid
5.0ms	16×	2	valid
4.0ms	22×	1	valid

Compiler

Compiled 105 to 35 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-add: 19.0ms (38.9% of total)

ival-mult: 9.0ms (18.4% of total)

ival-div: 7.0ms (14.3% of total)

ival-sub: 6.0ms (12.3% of total)

ival-sqrt: 5.0ms (10.2% of total)

const: 1.0ms (2% of total)

backward-pass: 1.0ms (2% of total)

eval0.0ms (0%)

Compiler: Compiled 15 to 12 computations (20% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify136.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
✓	cost-diff	(-.f64 x #s(literal 1 binary64))
✓	cost-diff	(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
✓	cost-diff	(/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))

Rules

2132×	`fnmadd-define`
1402×	`fma-define`
1110×	`sum3-define`
1076×	`fmsub-define`
1040×	`fnmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	41
1	25	41
2	49	39
3	66	39
4	87	39
5	133	39
6	212	39
7	396	39
8	812	39
9	1391	39
10	3191	39
11	5730	39
12	6123	39
13	6131	39
0	6131	39

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x))))
(* 6 (- x 1))
6
(- x 1)
x
1
(+ (+ x 1) (* 4 (sqrt x)))
(+ x 1)
(* 4 (sqrt x))
4
(sqrt x)

Outputs
(/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x))))
(/.f64 (+.f64 (.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(* 6 (- x 1))
(+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))
6
#s(literal 6 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
x
1
#s(literal 1 binary64)
(+ (+ x 1) (* 4 (sqrt x)))
(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
(+ x 1)
(+.f64 x #s(literal 1 binary64))
(* 4 (sqrt x))
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
4
#s(literal 4 binary64)
(sqrt x)
(sqrt.f64 x)

localize44.0ms (0.4%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	100.0%	(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
✓	accuracy	99.9%	(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
✓	accuracy	99.5%	(/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))

Results

24.0ms	237×	0	valid
3.0ms	8×	2	valid
2.0ms	11×	1	valid

Compiler

Compiled 45 to 12 computations (73.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 4.0ms (28% of total)

ival-add: 3.0ms (21% of total)

ival-div: 2.0ms (14% of total)

ival-sub: 2.0ms (14% of total)

ival-sqrt: 2.0ms (14% of total)

const: 1.0ms (7% of total)

backward-pass: 1.0ms (7% of total)

series9.0ms (0.1%)

Counts

5 → 60

Calls

Call 1

Inputs
#<alt (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x))))>
#<alt (* 6 (- x 1))>
#<alt (- x 1)>
#<alt (+ (+ x 1) (* 4 (sqrt x)))>
#<alt (sqrt x)>

Outputs
#<alt (/ -6 (+ 1 (* 4 (sqrt x))))>
#<alt (- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))>
#<alt (- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))>
#<alt (- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))>
#<alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))>
#<alt (+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))))>
#<alt (+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))))>
#<alt (/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))>
#<alt (- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))>
#<alt (- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))>
#<alt (- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))>
#<alt -6>
#<alt (- (* 6 x) 6)>
#<alt (- (* 6 x) 6)>
#<alt (- (* 6 x) 6)>
#<alt (* 6 x)>
#<alt (* x (- 6 (* 6 (/ 1 x))))>
#<alt (* x (- 6 (* 6 (/ 1 x))))>
#<alt (* x (- 6 (* 6 (/ 1 x))))>
#<alt (* 6 x)>
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))>
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))>
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))>
#<alt -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (+ 1 (* 4 (sqrt x)))>
#<alt (+ 1 (+ x (* 4 (sqrt x))))>
#<alt (+ 1 (+ x (* 4 (sqrt x))))>
#<alt (+ 1 (+ x (* 4 (sqrt x))))>
#<alt (* x (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))>
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))>
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x))))
1.0ms	x	@	-inf	(/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x))))
1.0ms	x	@	0	(/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x))))
1.0ms	x	@	-inf	(+ (+ x 1) (* 4 (sqrt x)))
0.0ms	x	@	0	(+ (+ x 1) (* 4 (sqrt x)))

rewrite546.0ms (5.5%)

Algorithm

1×	batch-egg-rewrite

Rules

5122×	`-lowering-.f32`
5122×	`-lowering-.f64`
4334×	`/-lowering-/.f32`
4334×	`/-lowering-/.f64`
1532×	`frac-times`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	30
1	63	30
2	544	28
0	8540	28

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 367

Calls

Call 1

Inputs
(/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x))))
(* 6 (- x 1))
(- x 1)
(+ (+ x 1) (* 4 (sqrt x)))
(sqrt x)

Outputs
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (.f64 #s(literal 6 binary64) x)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -6 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (.f64 x #s(literal 6 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -6 binary64)))
(+.f64 (.f64 (/.f64 (.f64 #s(literal 6 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (pow.f64 (.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)))) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (/.f64 (.f64 #s(literal 6 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (pow.f64 (.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)))) (+.f64 (.f64 x #s(literal 16 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (sqrt.f64 x) #s(literal -4 binary64))))))
(+.f64 (.f64 (/.f64 (.f64 #s(literal 6 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (pow.f64 (.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)))) (+.f64 (.f64 x #s(literal 16 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (sqrt.f64 x) #s(literal -4 binary64))))) (.f64 (/.f64 (.f64 #s(literal 6 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (pow.f64 (.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)))) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(+.f64 (.f64 (/.f64 (.f64 #s(literal 6 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 x #s(literal -16 binary64)))) x) (.f64 (/.f64 (.f64 #s(literal 6 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 x #s(literal -16 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(+.f64 (.f64 (/.f64 (.f64 #s(literal 6 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 x #s(literal -16 binary64)))) #s(literal 1 binary64)) (.f64 (/.f64 (.f64 #s(literal 6 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 x #s(literal -16 binary64)))) (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(+.f64 (.f64 (/.f64 (.f64 #s(literal 6 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 x #s(literal -16 binary64)))) (+.f64 x #s(literal 1 binary64))) (.f64 (/.f64 (.f64 #s(literal 6 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 x #s(literal -16 binary64)))) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
(+.f64 (.f64 (.f64 #s(literal 6 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (.f64 #s(literal -6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
(+.f64 (.f64 (.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (.f64 #s(literal -6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
(+.f64 (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 (.f64 #s(literal 6 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (pow.f64 (.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64))))) (.f64 (+.f64 (.f64 x #s(literal 16 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (/.f64 (.f64 #s(literal 6 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (pow.f64 (.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64))))))
(+.f64 (.f64 (+.f64 (.f64 x #s(literal 16 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (/.f64 (.f64 #s(literal 6 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (pow.f64 (.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64))))) (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 (.f64 #s(literal 6 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (pow.f64 (.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64))))))
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(/.f64 (.f64 (+.f64 (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (.f64 (pow.f64 (.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 4096 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 4096 binary64)) (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (pow.f64 (.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64))))) (+.f64 (.f64 x #s(literal 16 binary64)) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (sqrt.f64 x) #s(literal -4 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (.f64 (.f64 x (.f64 x x)) #s(literal 4096 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 #s(literal -64 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (+.f64 (.f64 x #s(literal 16 binary64)) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (sqrt.f64 x) #s(literal -4 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (.f64 (.f64 x (.f64 x x)) #s(literal 4096 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (.f64 (.f64 x #s(literal 16 binary64)) (+.f64 (.f64 x #s(literal 16 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (+.f64 #s(literal 1 binary64) (+.f64 x (.f64 (sqrt.f64 x) #s(literal -4 binary64))))))
(/.f64 (.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (.f64 (.f64 x x) #s(literal 256 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 x #s(literal 16 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 x (.f64 (sqrt.f64 x) #s(literal -4 binary64))))))
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(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (pow.f64 (.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x #s(literal 16 binary64)) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (sqrt.f64 x) #s(literal -4 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))))))
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(/.f64 (neg.f64 (+.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) x)))))
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(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x (.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (+.f64 x (.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 x (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (.f64 #s(literal 1 binary64) (+.f64 x (.f64 #s(literal 4 binary64) (sqrt.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 3 binary64)) (.f64 x (.f64 x x))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64)) (-.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) x))))
(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) x) (+.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 x (.f64 (sqrt.f64 x) #s(literal -4 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x #s(literal 16 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 x (.f64 (sqrt.f64 x) #s(literal -4 binary64))))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 x (.f64 (sqrt.f64 x) #s(literal -4 binary64))))) (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 x (.f64 (sqrt.f64 x) #s(literal -4 binary64)))))) (+.f64 (.f64 (/.f64 (.f64 x #s(literal 16 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 x (.f64 (sqrt.f64 x) #s(literal -4 binary64))))) (/.f64 (.f64 x #s(literal 16 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 x (.f64 (sqrt.f64 x) #s(literal -4 binary64)))))) (.f64 (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 x (.f64 (sqrt.f64 x) #s(literal -4 binary64))))) (/.f64 (.f64 x #s(literal 16 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 x (.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 x (.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (-.f64 #s(literal 1 binary64) (+.f64 x (.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) x))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) x) (+.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)) #s(literal 1 binary64)) (-.f64 (+.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) x) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 x (.f64 (sqrt.f64 x) #s(literal -4 binary64))))) (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 x (.f64 (sqrt.f64 x) #s(literal -4 binary64)))))) (.f64 (/.f64 (.f64 x #s(literal 16 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 x (.f64 (sqrt.f64 x) #s(literal -4 binary64))))) (/.f64 (.f64 x #s(literal 16 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 x (.f64 (sqrt.f64 x) #s(literal -4 binary64))))))) (+.f64 (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 x (.f64 (sqrt.f64 x) #s(literal -4 binary64))))) (/.f64 (.f64 x #s(literal 16 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 x (.f64 (sqrt.f64 x) #s(literal -4 binary64)))))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (.f64 (pow.f64 (.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 4096 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 16 binary64)) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (sqrt.f64 x) #s(literal -4 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))))) (+.f64 (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 4096 binary64)) (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (pow.f64 (.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (.f64 (.f64 x (.f64 x x)) #s(literal 4096 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 16 binary64)) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (sqrt.f64 x) #s(literal -4 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))))) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 #s(literal -64 binary64) (pow.f64 x #s(literal 3/2 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (.f64 (.f64 x (.f64 x x)) #s(literal 4096 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (.f64 (sqrt.f64 x) #s(literal -4 binary64)))))) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (.f64 (.f64 x #s(literal 16 binary64)) (+.f64 (.f64 x #s(literal 16 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (.f64 (.f64 x x) #s(literal 256 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (.f64 (sqrt.f64 x) #s(literal -4 binary64)))))) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 x #s(literal 16 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 1 binary64))
(.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))))
(.f64 (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (pow.f64 (.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 16 binary64)) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (sqrt.f64 x) #s(literal -4 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))))
(.f64 (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (pow.f64 (.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 16 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))))))
(.f64 (+.f64 (.f64 x #s(literal 16 binary64)) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (sqrt.f64 x) #s(literal -4 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 16 binary64)) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (sqrt.f64 x) #s(literal -4 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))))))
(.f64 #s(literal -1 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) (+.f64 x #s(literal 1 binary64))))
(.f64 (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 x #s(literal -16 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (.f64 (sqrt.f64 x) #s(literal -4 binary64))))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (pow.f64 (.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x #s(literal 16 binary64)) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (sqrt.f64 x) #s(literal -4 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 x #s(literal -16 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (+.f64 x (.f64 (sqrt.f64 x) #s(literal -4 binary64)))))))
(.f64 (+.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x))) x)))))
(.f64 (-.f64 (.f64 x x) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (.f64 (sqrt.f64 x) #s(literal -4 binary64))) #s(literal 1 binary64))))
(.f64 (-.f64 (.f64 x #s(literal 16 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(sqrt.f64 x)
(pow.f64 x #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 (sqrt.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x))

simplify245.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

3152×	`-lowering-.f32`
3152×	`-lowering-.f64`
2042×	`sum4-define`
1482×	`sum3-define`
1126×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	131	825
1	416	722
2	1271	691
3	4223	691
0	8424	691

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
(/ -6 (+ 1 (* 4 (sqrt x))))
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
-6
(- (* 6 x) 6)
(- (* 6 x) 6)
(- (* 6 x) 6)
(* 6 x)
(* x (- 6 (* 6 (/ 1 x))))
(* x (- 6 (* 6 (/ 1 x))))
(* x (- 6 (* 6 (/ 1 x))))
(* 6 x)
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(+ 1 (* 4 (sqrt x)))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt x))))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))

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

eval85.0ms (0.9%)

Compiler: Compiled 12532 to 1296 computations (89.7% saved)

prune84.0ms (0.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	419	8	427
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	420	8	428

Accuracy

100.0%

Counts

428 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.4%	(/.f64 (.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))
	51.4%	(/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))
	99.9%	(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 x #s(literal -1 binary64))))
▶	50.6%	(/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
	49.2%	(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
▶	48.9%	(/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
▶	100.0%	(.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))
▶	99.4%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (*.f64 #s(literal 6 binary64) (+.f64 x #s(literal -1 binary64))))

Compiler

Compiled 208 to 166 computations (20.2% saved)

simplify142.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
✓	cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (*.f64 #s(literal 6 binary64) (+.f64 x #s(literal -1 binary64))))
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
✓	cost-diff	0	(*.f64 x #s(literal 6 binary64))
✓	cost-diff	0	(/.f64 (.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
✓	cost-diff	0	(/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
✓	cost-diff	0	(/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
✓	cost-diff	0	(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
✓	cost-diff	0	(+.f64 x #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
✓	cost-diff	0	(.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))

Rules

2028×	`fnmadd-define`
1708×	`fma-define`
1340×	`sum5-define`
1336×	`sum3-define`
1142×	`fmsub-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	186
1	54	179
2	107	179
3	206	179
4	300	179
5	361	179
6	484	179
7	797	179
8	1419	179
9	2891	179
10	5385	179
11	6257	179
12	6316	179
13	6325	179
14	6352	179
15	6391	179
16	6407	179
0	6407	179

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (/ (+ x -1) (+ (+ x 1) (* 4 (sqrt x)))) 6)
(/ (+ x -1) (+ (+ x 1) (* 4 (sqrt x))))
(+ x -1)
x
-1
(+ (+ x 1) (* 4 (sqrt x)))
(+ x 1)
1
(* 4 (sqrt x))
4
(sqrt x)
6
(/ -6 (+ 1 (* 4 (sqrt x))))
-6
(+ 1 (* 4 (sqrt x)))
1
(* 4 (sqrt x))
4
(sqrt x)
x
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
6
(+ 1 (* 4 (sqrt (/ 1 x))))
1
(* 4 (sqrt (/ 1 x)))
4
(sqrt (/ 1 x))
(/ 1 x)
x
(/ (* x 6) (+ (+ x 1) (* 4 (sqrt x))))
(* x 6)
x
6
(+ (+ x 1) (* 4 (sqrt x)))
(+ x 1)
1
(* 4 (sqrt x))
4
(sqrt x)
(* (/ 1 (+ (+ x 1) (* 4 (sqrt x)))) (* 6 (+ x -1)))
(/ 1 (+ (+ x 1) (* 4 (sqrt x))))
1
(+ (+ x 1) (* 4 (sqrt x)))
(+ x 1)
x
(* 4 (sqrt x))
4
(sqrt x)
(* 6 (+ x -1))
6
(+ x -1)
-1

Outputs
(* (/ (+ x -1) (+ (+ x 1) (* 4 (sqrt x)))) 6)
(/.f64 (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -6 binary64))) (+.f64 (-.f64 #s(literal -1 binary64) x) (.f64 (sqrt.f64 x) #s(literal -4 binary64))))
(/ (+ x -1) (+ (+ x 1) (* 4 (sqrt x))))
(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(+ x -1)
(+.f64 x #s(literal -1 binary64))
x
-1
#s(literal -1 binary64)
(+ (+ x 1) (* 4 (sqrt x)))
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(+ x 1)
(+.f64 x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* 4 (sqrt x))
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
4
#s(literal 4 binary64)
(sqrt x)
(sqrt.f64 x)
6
#s(literal 6 binary64)
(/ -6 (+ 1 (* 4 (sqrt x))))
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
-6
#s(literal -6 binary64)
(+ 1 (* 4 (sqrt x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
1
#s(literal 1 binary64)
(* 4 (sqrt x))
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
4
#s(literal 4 binary64)
(sqrt x)
(sqrt.f64 x)
x
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
6
#s(literal 6 binary64)
(+ 1 (* 4 (sqrt (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
1
#s(literal 1 binary64)
(* 4 (sqrt (/ 1 x)))
(*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
4
#s(literal 4 binary64)
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
x
(/ (* x 6) (+ (+ x 1) (* 4 (sqrt x))))
(/.f64 (.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(* x 6)
(*.f64 x #s(literal 6 binary64))
x
6
#s(literal 6 binary64)
(+ (+ x 1) (* 4 (sqrt x)))
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(+ x 1)
(+.f64 x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* 4 (sqrt x))
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
4
#s(literal 4 binary64)
(sqrt x)
(sqrt.f64 x)
(* (/ 1 (+ (+ x 1) (* 4 (sqrt x)))) (* 6 (+ x -1)))
(/.f64 (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -6 binary64))) (+.f64 (-.f64 #s(literal -1 binary64) x) (.f64 (sqrt.f64 x) #s(literal -4 binary64))))
(/ 1 (+ (+ x 1) (* 4 (sqrt x))))
(/.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
1
#s(literal 1 binary64)
(+ (+ x 1) (* 4 (sqrt x)))
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(+ x 1)
(+.f64 x #s(literal 1 binary64))
x
(* 4 (sqrt x))
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
4
#s(literal 4 binary64)
(sqrt x)
(sqrt.f64 x)
(* 6 (+ x -1))
(*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64))
6
#s(literal 6 binary64)
(+ x -1)
(+.f64 x #s(literal -1 binary64))
-1
#s(literal -1 binary64)

localize353.0ms (3.6%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
✓	accuracy	99.9%	(*.f64 #s(literal 6 binary64) (+.f64 x #s(literal -1 binary64)))
✓	accuracy	99.4%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (*.f64 #s(literal 6 binary64) (+.f64 x #s(literal -1 binary64))))
✓	accuracy	100.0%	(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	100.0%	(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
✓	accuracy	99.3%	(/.f64 (.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))
✓	accuracy	100.0%	(*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
✓	accuracy	99.8%	(/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
✓	accuracy	99.8%	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
✓	accuracy	100.0%	(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.8%	(/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	100.0%	(.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))
✓	accuracy	100.0%	(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
✓	accuracy	100.0%	(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))

Results

142.0ms	28×	1	valid
88.0ms	220×	0	valid
23.0ms	8×	2	valid

Compiler

Compiled 204 to 26 computations (87.3% saved)

Precisions

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

ival-add: 35.0ms (50.6% of total)

ival-div: 12.0ms (17.4% of total)

ival-mult: 12.0ms (17.4% of total)

backward-pass: 4.0ms (5.8% of total)

ival-sqrt: 4.0ms (5.8% of total)

const: 1.0ms (1.4% of total)

series15.0ms (0.1%)

Counts

18 → 216

Calls

Call 1

Inputs
#<alt (* (/ (+ x -1) (+ (+ x 1) (* 4 (sqrt x)))) 6)>
#<alt (/ (+ x -1) (+ (+ x 1) (* 4 (sqrt x))))>
#<alt (+ x -1)>
#<alt (+ (+ x 1) (* 4 (sqrt x)))>
#<alt (/ -6 (+ 1 (* 4 (sqrt x))))>
#<alt (+ 1 (* 4 (sqrt x)))>
#<alt (* 4 (sqrt x))>
#<alt (sqrt x)>
#<alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (+ 1 (* 4 (sqrt (/ 1 x))))>
#<alt (* 4 (sqrt (/ 1 x)))>
#<alt (sqrt (/ 1 x))>
#<alt (/ (* x 6) (+ (+ x 1) (* 4 (sqrt x))))>
#<alt (* x 6)>
#<alt (+ x 1)>
#<alt (* (/ 1 (+ (+ x 1) (* 4 (sqrt x)))) (* 6 (+ x -1)))>
#<alt (/ 1 (+ (+ x 1) (* 4 (sqrt x))))>
#<alt (* 6 (+ x -1))>

Outputs
#<alt (/ -6 (+ 1 (* 4 (sqrt x))))>
#<alt (- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))>
#<alt (- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))>
#<alt (- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))>
#<alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))>
#<alt (+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))))>
#<alt (+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))))>
#<alt (/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))>
#<alt (- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))>
#<alt (- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))>
#<alt (- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))>
#<alt (/ -1 (+ 1 (* 4 (sqrt x))))>
#<alt (- (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (/ 1 (+ 1 (* 4 (sqrt x)))))>
#<alt (- (* x (+ (* -1 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (/ 1 (+ 1 (* 4 (sqrt x)))))>
#<alt (- (* x (+ (* x (- (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x)))) (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (/ 1 (+ 1 (* 4 (sqrt x)))))>
#<alt (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (+ (* -1 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))>
#<alt (- (+ (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (+ (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))) (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))))>
#<alt (- (+ (* -1 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (+ (* -1 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))))>
#<alt (/ -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))>
#<alt (- (/ 1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (+ (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))>
#<alt (- (* -1 (/ (- (+ (* -1 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))>
#<alt (- (* -1 (/ (+ (* -1 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (- (+ (* -1 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4)))) x))) x)) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))>
#<alt -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (+ 1 (* 4 (sqrt x)))>
#<alt (+ 1 (+ x (* 4 (sqrt x))))>
#<alt (+ 1 (+ x (* 4 (sqrt x))))>
#<alt (+ 1 (+ x (* 4 (sqrt x))))>
#<alt (* x (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))>
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))>
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))>
#<alt (/ -6 (+ 1 (* 4 (sqrt x))))>
#<alt (/ -6 (+ 1 (* 4 (sqrt x))))>
#<alt (/ -6 (+ 1 (* 4 (sqrt x))))>
#<alt (/ -6 (+ 1 (* 4 (sqrt x))))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (/ (+ 3/8 (* -3/2 (sqrt x))) x)>
#<alt (/ (+ 3/8 (+ (* -3/2 (sqrt x)) (* -3/32 (sqrt (/ 1 x))))) x)>
#<alt (/ (- (+ 3/8 (+ (* -3/2 (sqrt x)) (* 3/128 (/ 1 x)))) (* 3/32 (sqrt (/ 1 x)))) x)>
#<alt (* 3/2 (sqrt (/ 1 x)))>
#<alt (* -1 (/ (+ (* -3/2 (sqrt x)) (* 3/8 (/ 1 (pow (sqrt -1) 2)))) x))>
#<alt (* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -3/8 (/ x (pow (sqrt -1) 2))) (* 3/32 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x))) x))>
#<alt (* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -1 (/ (- (* -3/128 (/ x (pow (sqrt -1) 4))) (* 3/32 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -3/8 (/ x (pow (sqrt -1) 2)))) x))) x))>
#<alt (+ 1 (* 4 (sqrt x)))>
#<alt (+ 1 (* 4 (sqrt x)))>
#<alt (+ 1 (* 4 (sqrt x)))>
#<alt (+ 1 (* 4 (sqrt x)))>
#<alt (* 4 (sqrt x))>
#<alt (* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))>
#<alt (* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))>
#<alt (* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))>
#<alt (* -4 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))>
#<alt (* 4 (sqrt x))>
#<alt (* 4 (sqrt x))>
#<alt (* 4 (sqrt x))>
#<alt (* 4 (sqrt x))>
#<alt (* 4 (sqrt x))>
#<alt (* 4 (sqrt x))>
#<alt (* 4 (sqrt x))>
#<alt (* 4 (sqrt x))>
#<alt (* -4 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -4 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -4 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -4 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* 3/2 (sqrt x))>
#<alt (* x (- (* 3/2 (sqrt (/ 1 x))) 3/8))>
#<alt (* x (+ (* 3/2 (sqrt (/ 1 x))) (* x (- (* 3/32 (sqrt (/ 1 x))) (* 3/8 (/ 1 x))))))>
#<alt (* x (+ (* 3/2 (sqrt (/ 1 x))) (* x (- (* -1 (* x (+ (* -3/32 (sqrt (/ 1 (pow x 3)))) (* 3/128 (/ 1 x))))) (* 3/8 (/ 1 x))))))>
#<alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (/ 6 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (/ 6 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (/ 6 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (/ 6 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* 4 (sqrt (/ 1 x)))>
#<alt (/ (+ x (* 4 (sqrt x))) x)>
#<alt (/ (+ x (* 4 (sqrt x))) x)>
#<alt (/ (+ x (* 4 (sqrt x))) x)>
#<alt (+ 1 (* 4 (sqrt (/ 1 x))))>
#<alt (+ 1 (* 4 (sqrt (/ 1 x))))>
#<alt (+ 1 (* 4 (sqrt (/ 1 x))))>
#<alt (+ 1 (* 4 (sqrt (/ 1 x))))>
#<alt (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (* 4 (sqrt (/ 1 x)))>
#<alt (* 4 (sqrt (/ 1 x)))>
#<alt (* 4 (sqrt (/ 1 x)))>
#<alt (* 4 (sqrt (/ 1 x)))>
#<alt (* 4 (sqrt (/ 1 x)))>
#<alt (* 4 (sqrt (/ 1 x)))>
#<alt (* 4 (sqrt (/ 1 x)))>
#<alt (* 4 (sqrt (/ 1 x)))>
#<alt (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* 6 (/ x (+ 1 (* 4 (sqrt x)))))>
#<alt (* x (+ (* -6 (/ x (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))))>
#<alt (* x (+ (* x (- (* 6 (/ x (pow (+ 1 (* 4 (sqrt x))) 3))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))))>
#<alt (* x (+ (* x (- (* x (+ (* -6 (/ x (pow (+ 1 (* 4 (sqrt x))) 4))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))))>
#<alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (- (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))))>
#<alt (- (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))>
#<alt (- (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (* 6 (/ 1 (* (pow x 3) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4)))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))))>
#<alt (/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))>
#<alt (* -1 (+ (* 6 (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))))>
#<alt (- (* -1 (/ (+ (* 6 (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))>
#<alt (- (* -1 (/ (+ (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) (+ (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))) (/ 6 (* (pow x 2) (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (/ -6 (+ 1 (* 4 (sqrt x))))>
#<alt (- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))>
#<alt (- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))>
#<alt (- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))>
#<alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))>
#<alt (+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))))>
#<alt (+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))))>
#<alt (/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))>
#<alt (- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))>
#<alt (- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))>
#<alt (- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))>
#<alt (/ 1 (+ 1 (* 4 (sqrt x))))>
#<alt (+ (* -1 (/ x (pow (+ 1 (* 4 (sqrt x))) 2))) (/ 1 (+ 1 (* 4 (sqrt x)))))>
#<alt (+ (* x (- (/ x (pow (+ 1 (* 4 (sqrt x))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (/ 1 (+ 1 (* 4 (sqrt x)))))>
#<alt (+ (* x (- (* x (+ (* -1 (/ x (pow (+ 1 (* 4 (sqrt x))) 4))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (/ 1 (+ 1 (* 4 (sqrt x)))))>
#<alt (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x))))))>
#<alt (/ (- (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) x)>
#<alt (/ (- (+ (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))) (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) x)>
#<alt (/ (- (+ (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))) (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (+ (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (/ 1 (* (pow x 3) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))))) x)>
#<alt (/ -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))>
#<alt (* -1 (/ (+ (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) x))>
#<alt (* -1 (/ (+ (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) (+ (/ 1 (* (pow x 2) (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))) x)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) x))>
#<alt -6>
#<alt (- (* 6 x) 6)>
#<alt (- (* 6 x) 6)>
#<alt (- (* 6 x) 6)>
#<alt (* 6 x)>
#<alt (* x (- 6 (* 6 (/ 1 x))))>
#<alt (* x (- 6 (* 6 (/ 1 x))))>
#<alt (* x (- 6 (* 6 (/ 1 x))))>
#<alt (* 6 x)>
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))>
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))>
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))>

Calls

54 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/ (* x 6) (+ (+ x 1) (* 4 (sqrt x))))
1.0ms	x	@	-inf	(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
1.0ms	x	@	0	(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
1.0ms	x	@	-inf	(/ -6 (+ 1 (* 4 (sqrt x))))
1.0ms	x	@	-inf	(/ (* x 6) (+ (+ x 1) (* 4 (sqrt x))))

rewrite635.0ms (6.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3788×	`/-lowering-/.f32`
3788×	`/-lowering-/.f64`
3428×	`-lowering-.f32`
3428×	`-lowering-.f64`
2046×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	121
1	148	110
2	1175	110
0	8632	110

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 836

Calls

Call 1

Inputs
(* (/ (+ x -1) (+ (+ x 1) (* 4 (sqrt x)))) 6)
(/ (+ x -1) (+ (+ x 1) (* 4 (sqrt x))))
(+ x -1)
(+ (+ x 1) (* 4 (sqrt x)))
(/ -6 (+ 1 (* 4 (sqrt x))))
(+ 1 (* 4 (sqrt x)))
(* 4 (sqrt x))
(sqrt x)
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
(+ 1 (* 4 (sqrt (/ 1 x))))
(* 4 (sqrt (/ 1 x)))
(sqrt (/ 1 x))
(/ (* x 6) (+ (+ x 1) (* 4 (sqrt x))))
(* x 6)
(+ x 1)
(* (/ 1 (+ (+ x 1) (* 4 (sqrt x)))) (* 6 (+ x -1)))
(/ 1 (+ (+ x 1) (* 4 (sqrt x))))
(* 6 (+ x -1))

Outputs
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) x))) #s(literal -6 binary64)) (/.f64 (.f64 x #s(literal 6 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
(+.f64 (.f64 (/.f64 #s(literal 6 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))) #s(literal -1 binary64)) (/.f64 (.f64 x #s(literal 6 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
(+.f64 (/.f64 (.f64 x #s(literal 6 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) x))) #s(literal -6 binary64)))
(+.f64 (/.f64 (.f64 x #s(literal 6 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (.f64 (/.f64 #s(literal 6 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))) #s(literal -1 binary64)))
(+.f64 (/.f64 (.f64 x #s(literal 6 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (/.f64 #s(literal -6 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
(+.f64 (/.f64 (.f64 x #s(literal 6 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 6 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) #s(literal -1 binary64))))
(+.f64 (/.f64 (.f64 x #s(literal 6 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) x))) #s(literal -6 binary64))))
(+.f64 (/.f64 (.f64 x #s(literal 6 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))))))
(+.f64 (/.f64 #s(literal -6 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (/.f64 (.f64 x #s(literal 6 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 6 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))) #s(literal -1 binary64))) (/.f64 (.f64 x #s(literal 6 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))))) (/.f64 (.f64 x #s(literal 6 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
(+.f64 (.f64 (/.f64 (+.f64 #s(literal -6 binary64) (.f64 x #s(literal 6 binary64))) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (pow.f64 (.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)))) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (/.f64 (+.f64 #s(literal -6 binary64) (.f64 x #s(literal 6 binary64))) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (pow.f64 (.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)))) (-.f64 (.f64 x #s(literal 16 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
(+.f64 (.f64 (/.f64 (+.f64 #s(literal -6 binary64) (.f64 x #s(literal 6 binary64))) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (pow.f64 (.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)))) (-.f64 (.f64 x #s(literal 16 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (.f64 (/.f64 (+.f64 #s(literal -6 binary64) (.f64 x #s(literal 6 binary64))) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (pow.f64 (.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)))) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(+.f64 (.f64 (/.f64 (+.f64 #s(literal -6 binary64) (.f64 x #s(literal 6 binary64))) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 x #s(literal -16 binary64)))) x) (.f64 (/.f64 (+.f64 #s(literal -6 binary64) (.f64 x #s(literal 6 binary64))) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 x #s(literal -16 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(+.f64 (.f64 (/.f64 (+.f64 #s(literal -6 binary64) (.f64 x #s(literal 6 binary64))) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 x #s(literal -16 binary64)))) #s(literal 1 binary64)) (.f64 (/.f64 (+.f64 #s(literal -6 binary64) (.f64 x #s(literal 6 binary64))) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 x #s(literal -16 binary64)))) (-.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(+.f64 (.f64 (/.f64 (+.f64 #s(literal -6 binary64) (.f64 x #s(literal 6 binary64))) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 x #s(literal -16 binary64)))) (+.f64 x #s(literal 1 binary64))) (.f64 (/.f64 (+.f64 #s(literal -6 binary64) (.f64 x #s(literal 6 binary64))) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 x #s(literal -16 binary64)))) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
(-.f64 (.f64 (/.f64 #s(literal 6 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))) #s(literal -1 binary64)) (/.f64 (.f64 x #s(literal 6 binary64)) (+.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) x))))
(-.f64 (/.f64 #s(literal -6 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (/.f64 (.f64 x #s(literal 6 binary64)) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) x))))
(fma.f64 x (/.f64 #s(literal 6 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) x))) #s(literal -6 binary64)))
(fma.f64 x (/.f64 #s(literal 6 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (.f64 (/.f64 #s(literal 6 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) #s(literal -1 binary64)))
(fma.f64 x (/.f64 #s(literal 6 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (/.f64 #s(literal -6 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 6 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (/.f64 (.f64 x #s(literal 6 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal 6 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) x))) #s(literal -6 binary64)))
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(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (pow.f64 (.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)))) (-.f64 (.f64 x #s(literal 16 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (pow.f64 (.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)))) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 x #s(literal -16 binary64)))) x) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 x #s(literal -16 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 x #s(literal -16 binary64)))) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 x #s(literal -16 binary64)))) (-.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 x #s(literal -16 binary64)))) (+.f64 x #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 x #s(literal -16 binary64)))) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
(exp.f64 (.f64 (log1p.f64 (+.f64 x (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
(-.f64 (/.f64 (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 x #s(literal 16 binary64))) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (pow.f64 (.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)))) (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (pow.f64 (.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)))))
(-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 x #s(literal -16 binary64)))) (/.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 x #s(literal -16 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
(neg.f64 (.f64 (/.f64 #s(literal -1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(/.f64 (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 16 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 x (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 x #s(literal -16 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 16 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (-.f64 x (.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 x #s(literal -16 binary64)))))
(pow.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log1p.f64 (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) x))))
(.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64))
(.f64 (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 16 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (pow.f64 (.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (-.f64 x (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 x #s(literal -16 binary64)))))
(.f64 (pow.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (pow.f64 (.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)))) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 16 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (pow.f64 (.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 (.f64 x #s(literal 16 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 x #s(literal -16 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 x (.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 x #s(literal -16 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 x (.f64 #s(literal 4 binary64) (sqrt.f64 x))))) #s(literal -1 binary64)))
(+.f64 #s(literal -6 binary64) (*.f64 x #s(literal 6 binary64)))
(+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 36 binary64)) (+.f64 (.f64 x #s(literal 6 binary64)) #s(literal 6 binary64))) (/.f64 #s(literal 36 binary64) (+.f64 (.f64 x #s(literal 6 binary64)) #s(literal 6 binary64))))
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64))
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
(fma.f64 (*.f64 x #s(literal 6 binary64)) #s(literal 1 binary64) #s(literal -6 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 x x) #s(literal 36 binary64)) (+.f64 #s(literal 36 binary64) (.f64 (.f64 x #s(literal -6 binary64)) #s(literal -6 binary64)))) (+.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 216 binary64)) #s(literal -216 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal 6 binary64)) #s(literal 6 binary64)) (+.f64 (.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal -36 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) x) (+.f64 #s(literal -6 binary64) (.f64 #s(literal 6 binary64) (.f64 x (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 6 binary64) (+.f64 (.f64 x x) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) x) (.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) #s(literal 6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 6 binary64))))
(/.f64 #s(literal 6 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64)) #s(literal -216 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal 36 binary64)) (+.f64 #s(literal 36 binary64) (.f64 (*.f64 x #s(literal -6 binary64)) #s(literal -6 binary64)))))
(/.f64 (+.f64 (.f64 (.f64 x x) #s(literal 36 binary64)) #s(literal -36 binary64)) (+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal 6 binary64)))
(/.f64 (+.f64 #s(literal -6 binary64) (.f64 #s(literal 6 binary64) (.f64 x (.f64 x x)))) (+.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) x))
(/.f64 (.f64 #s(literal 6 binary64) (+.f64 (.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) #s(literal 6 binary64)) (+.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) x))
(/.f64 (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 6 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64)) #s(literal -216 binary64))) (neg.f64 (+.f64 (.f64 (.f64 x x) #s(literal 36 binary64)) (+.f64 #s(literal 36 binary64) (.f64 (*.f64 x #s(literal -6 binary64)) #s(literal -6 binary64))))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x x) #s(literal 36 binary64)) #s(literal -36 binary64))) (neg.f64 (+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal 6 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -6 binary64) (.f64 #s(literal 6 binary64) (.f64 x (.f64 x x))))) (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 (neg.f64 (.f64 #s(literal 6 binary64) (+.f64 (.f64 x x) #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) #s(literal 6 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 6 binary64))) (-.f64 #s(literal -1 binary64) x))
(/.f64 (+.f64 #s(literal -216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64))) (+.f64 #s(literal 36 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 36 binary64)) (.f64 #s(literal -6 binary64) (*.f64 x #s(literal 6 binary64))))))
(/.f64 (-.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal 36 binary64))) (-.f64 #s(literal -6 binary64) (*.f64 x #s(literal 6 binary64))))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (.f64 x #s(literal 6 binary64))))
(*.f64 #s(literal 6 binary64) (+.f64 x #s(literal -1 binary64)))
(.f64 (+.f64 #s(literal -6 binary64) (.f64 x #s(literal 6 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64))
(.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64)) #s(literal -216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 36 binary64)) (+.f64 #s(literal 36 binary64) (.f64 (.f64 x #s(literal -6 binary64)) #s(literal -6 binary64))))))
(.f64 (+.f64 (.f64 (.f64 x x) #s(literal 36 binary64)) #s(literal -36 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 6 binary64)) #s(literal 6 binary64))))
(.f64 (+.f64 #s(literal -6 binary64) (.f64 #s(literal 6 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) x)))
(.f64 (.f64 #s(literal 6 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)))
(.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) x)))
(.f64 (.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 6 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)))
(.f64 (/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) x))))
(.f64 (/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 (.f64 x x) #s(literal -1 binary64))) (+.f64 #s(literal -6 binary64) (.f64 x #s(literal 6 binary64))))
(.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) x))))
(.f64 (/.f64 #s(literal 6 binary64) (+.f64 (.f64 x x) #s(literal -1 binary64))) (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))))

simplify332.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

4462×	`+-lowering-+.f64`
4462×	`+-lowering-+.f32`
3424×	`-lowering-.f32`
3424×	`-lowering-.f64`
1444×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	356	3643
1	1163	3046
2	3551	2938
0	8170	2938

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

Inputs
(/ -6 (+ 1 (* 4 (sqrt x))))
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(/ -1 (+ 1 (* 4 (sqrt x))))
(- (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (/ 1 (+ 1 (* 4 (sqrt x)))))
(- (* x (+ (* -1 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (/ 1 (+ 1 (* 4 (sqrt x)))))
(- (* x (+ (* x (- (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x)))) (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (/ 1 (+ 1 (* 4 (sqrt x)))))
(/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))
(+ (* -1 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))
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(- x 1)
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x
(* x (- 1 (/ 1 x)))
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(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
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(/ -6 (+ 1 (* 4 (sqrt x))))
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(/ -6 (+ 1 (* 4 (sqrt x))))
(/ -6 (+ 1 (* 4 (sqrt x))))
(* -3/2 (sqrt (/ 1 x)))
(/ (+ 3/8 (* -3/2 (sqrt x))) x)
(/ (+ 3/8 (+ (* -3/2 (sqrt x)) (* -3/32 (sqrt (/ 1 x))))) x)
(/ (- (+ 3/8 (+ (* -3/2 (sqrt x)) (* 3/128 (/ 1 x)))) (* 3/32 (sqrt (/ 1 x)))) x)
(* 3/2 (sqrt (/ 1 x)))
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(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -3/8 (/ x (pow (sqrt -1) 2))) (* 3/32 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x))) x))
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -1 (/ (- (* -3/128 (/ x (pow (sqrt -1) 4))) (* 3/32 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -3/8 (/ x (pow (sqrt -1) 2)))) x))) x))
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(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))
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(* 4 (sqrt x))
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(* 4 (sqrt x))
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(* 3/2 (sqrt x))
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(* x (+ (* 3/2 (sqrt (/ 1 x))) (* x (- (* 3/32 (sqrt (/ 1 x))) (* 3/8 (/ 1 x))))))
(* x (+ (* 3/2 (sqrt (/ 1 x))) (* x (- (* -1 (* x (+ (* -3/32 (sqrt (/ 1 (pow x 3)))) (* 3/128 (/ 1 x))))) (* 3/8 (/ 1 x))))))
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(* 4 (sqrt (/ 1 x)))
(/ (+ x (* 4 (sqrt x))) x)
(/ (+ x (* 4 (sqrt x))) x)
(/ (+ x (* 4 (sqrt x))) x)
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(* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
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(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
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1
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(/ 1 (+ 1 (* 4 (sqrt x))))
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(/ (- (+ (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))) (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) x)
(/ (- (+ (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))) (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (+ (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (/ 1 (* (pow x 3) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))))) x)
(/ -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
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(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))) x)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) x))
-6
(- (* 6 x) 6)
(- (* 6 x) 6)
(- (* 6 x) 6)
(* 6 x)
(* x (- 6 (* 6 (/ 1 x))))
(* x (- 6 (* 6 (/ 1 x))))
(* x (- 6 (* 6 (/ 1 x))))
(* 6 x)
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))

Outputs
(/ -6 (+ 1 (* 4 (sqrt x))))
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
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(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
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(/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))
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(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))))
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))) #s(literal 2 binary64)))) x)))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(-.f64 (/.f64 #s(literal -6 binary64) (+.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal -6 binary64) (+.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))) (.f64 #s(literal -6 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))) #s(literal 2 binary64))))) (/.f64 (.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))) #s(literal 2 binary64))))) x)) x))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(-.f64 (/.f64 #s(literal -6 binary64) (+.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal -6 binary64) (+.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))) (.f64 #s(literal -6 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))) #s(literal 2 binary64))))) (/.f64 (+.f64 (.f64 #s(literal -6 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))) #s(literal 2 binary64))))) (/.f64 (.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))) #s(literal 4 binary64))))) x)) x)) x))
(/ 1 (+ 1 (* 4 (sqrt x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(+ (* -1 (/ x (pow (+ 1 (* 4 (sqrt x))) 2))) (/ 1 (+ 1 (* 4 (sqrt x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (/.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64))))
(+ (* x (- (/ x (pow (+ 1 (* 4 (sqrt x))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (/ 1 (+ 1 (* 4 (sqrt x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (.f64 x (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64))) (/.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 3 binary64))))))
(+ (* x (- (* x (+ (* -1 (/ x (pow (+ 1 (* 4 (sqrt x))) 4))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (/ 1 (+ 1 (* 4 (sqrt x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (.f64 x (+.f64 (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 3 binary64))) (/.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 4 binary64))))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64))))))
(/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x))))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/ (- (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) x)
(/ (- (+ (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))) (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) x)
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))) x)
(/ (- (+ (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))) (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (+ (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (/ 1 (* (pow x 3) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))))) x)
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))))) x)
(/ -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))))
(* -1 (/ (+ (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) x))
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (+.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))) #s(literal 2 binary64)))) x)
(* -1 (/ (+ (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) (+ (/ 1 (* (pow x 2) (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) x))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (+.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))) #s(literal 3 binary64))) (.f64 x x))) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))) x)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) x))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (+.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))) #s(literal 3 binary64)))) x) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))) #s(literal 2 binary64)))) x) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))))) x)
-6
#s(literal -6 binary64)
(- (* 6 x) 6)
(+.f64 #s(literal -6 binary64) (*.f64 x #s(literal 6 binary64)))
(- (* 6 x) 6)
(+.f64 #s(literal -6 binary64) (*.f64 x #s(literal 6 binary64)))
(- (* 6 x) 6)
(+.f64 #s(literal -6 binary64) (*.f64 x #s(literal 6 binary64)))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* x (- 6 (* 6 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -6 binary64) x)))
(* x (- 6 (* 6 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -6 binary64) x)))
(* x (- 6 (* 6 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -6 binary64) x)))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(*.f64 x (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -6 binary64) x)))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(*.f64 x (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -6 binary64) x)))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(*.f64 x (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -6 binary64) x)))

eval223.0ms (2.2%)

Compiler: Compiled 40487 to 3393 computations (91.6% saved)

prune186.0ms (1.9%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	1605	7	1612
Fresh	0	3	3
Picked	2	3	5
Done	0	0	0
Total	1607	13	1620

Accuracy

100.0%

Counts

1620 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.2%	(/.f64 (.f64 x #s(literal 6 binary64)) (+.f64 x (.f64 #s(literal 4 binary64) (sqrt.f64 x))))
	51.4%	(/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))
▶	99.9%	(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 x #s(literal -1 binary64))))
	50.6%	(/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
▶	49.2%	(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
✓	48.9%	(/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
▶	4.6%	(/.f64 #s(literal -6 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
✓	100.0%	(.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))
	53.4%	(.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))
▶	51.4%	(.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))
✓	99.4%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (*.f64 #s(literal 6 binary64) (+.f64 x #s(literal -1 binary64))))
	4.6%	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
▶	4.3%	(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))

Compiler

Compiled 249 to 201 computations (19.3% saved)

simplify133.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
✓	cost-diff	0	(+.f64 x #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
✓	cost-diff	0	(.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))
✓	cost-diff	0	(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
✓	cost-diff	0	(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
✓	cost-diff	128	(/.f64 #s(literal -6 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
✓	cost-diff	0	(/.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 x #s(literal -1 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 x #s(literal -1 binary64))))

Rules

2136×	`fnmadd-define`
1648×	`fmsub-define`
1462×	`fmm-def`
1432×	`fnmsub-define`
1420×	`-lowering-.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	140
1	38	137
2	65	137
3	94	135
4	112	135
5	145	135
6	222	135
7	403	135
8	816	135
9	1717	135
10	4518	135
0	8417	135

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ 6 (/ (+ (+ x 1) (* 4 (sqrt x))) (+ x -1)))
6
(/ (+ (+ x 1) (* 4 (sqrt x))) (+ x -1))
(+ (+ x 1) (* 4 (sqrt x)))
(+ x 1)
x
1
(* 4 (sqrt x))
4
(sqrt x)
(+ x -1)
-1
(* (sqrt x) 3/2)
(sqrt x)
x
3/2
(/ -6 (* 4 (sqrt x)))
-6
(* 4 (sqrt x))
4
(sqrt x)
x
(/ -6 (+ (+ x 1) (* 4 (sqrt x))))
-6
(+ (+ x 1) (* 4 (sqrt x)))
(+ x 1)
x
1
(* 4 (sqrt x))
4
(sqrt x)
(* (/ (+ x -1) (+ 1 (* 4 (sqrt x)))) 6)
(/ (+ x -1) (+ 1 (* 4 (sqrt x))))
(+ x -1)
x
-1
(+ 1 (* 4 (sqrt x)))
1
(* 4 (sqrt x))
4
(sqrt x)
6

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

localize95.0ms (1%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.7%	(.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))
✓	accuracy	99.5%	(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
✓	accuracy	100.0%	(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	100.0%	(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
✓	accuracy	99.9%	(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
✓	accuracy	100.0%	(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.6%	(/.f64 #s(literal -6 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.5%	(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	100.0%	(/.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 x #s(literal -1 binary64)))
✓	accuracy	100.0%	(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
✓	accuracy	100.0%	(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 x #s(literal -1 binary64))))

Results

57.0ms

256×

valid

Compiler

Compiled 149 to 21 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-div: 8.0ms (35.2% of total)

ival-mult: 6.0ms (26.4% of total)

ival-add: 5.0ms (22% of total)

ival-sqrt: 3.0ms (13.2% of total)

const: 1.0ms (4.4% of total)

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

series11.0ms (0.1%)

Counts

13 → 156

Calls

Call 1

Inputs
#<alt (/ 6 (/ (+ (+ x 1) (* 4 (sqrt x))) (+ x -1)))>
#<alt (/ (+ (+ x 1) (* 4 (sqrt x))) (+ x -1))>
#<alt (+ (+ x 1) (* 4 (sqrt x)))>
#<alt (+ x 1)>
#<alt (* (sqrt x) 3/2)>
#<alt (sqrt x)>
#<alt (/ -6 (* 4 (sqrt x)))>
#<alt (* 4 (sqrt x))>
#<alt (/ -6 (+ (+ x 1) (* 4 (sqrt x))))>
#<alt (* (/ (+ x -1) (+ 1 (* 4 (sqrt x)))) 6)>
#<alt (/ (+ x -1) (+ 1 (* 4 (sqrt x))))>
#<alt (+ x -1)>
#<alt (+ 1 (* 4 (sqrt x)))>

Outputs
#<alt (/ -6 (+ 1 (* 4 (sqrt x))))>
#<alt (- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))>
#<alt (- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))>
#<alt (- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))>
#<alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))>
#<alt (+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))))>
#<alt (+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))))>
#<alt (/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))>
#<alt (- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))>
#<alt (- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))>
#<alt (- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))>
#<alt (* -1 (+ 1 (* 4 (sqrt x))))>
#<alt (+ (* -1 (* x (+ 2 (* 4 (sqrt x))))) (* -1 (+ 1 (* 4 (sqrt x)))))>
#<alt (+ (* -1 (+ 1 (* 4 (sqrt x)))) (* x (- (* -1 (* x (+ 2 (* 4 (sqrt x))))) (+ 2 (* 4 (sqrt x))))))>
#<alt (+ (* -1 (+ 1 (* 4 (sqrt x)))) (* x (- (* x (- (* -1 (* x (+ 2 (* 4 (sqrt x))))) (+ 2 (* 4 (sqrt x))))) (+ 2 (* 4 (sqrt x))))))>
#<alt (+ 1 (* 4 (sqrt (/ 1 x))))>
#<alt (- (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))) (* -1 (/ (+ 1 (* 4 (sqrt (/ 1 x)))) x)))>
#<alt (- (+ 1 (+ (* 4 (sqrt (/ 1 x))) (+ (/ 1 x) (/ 1 (pow x 2))))) (+ (* -1 (/ (+ 1 (* 4 (sqrt (/ 1 x)))) x)) (* -1 (/ (+ 1 (* 4 (sqrt (/ 1 x)))) (pow x 2)))))>
#<alt (- (+ 1 (+ (* 4 (sqrt (/ 1 x))) (+ (/ 1 x) (/ 1 (pow x 3))))) (+ (* -1 (/ (+ 1 (* 4 (sqrt (/ 1 x)))) x)) (+ (* -1 (/ (+ 1 (* 4 (sqrt (/ 1 x)))) (pow x 3))) (* -1 (/ (- 1 (* -1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (pow x 2))))))>
#<alt (* -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))>
#<alt (- (+ (* -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* 2 (/ 1 x))) (* 4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* -1 (/ (- (+ (* -1 (- 2 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) (* 2 (/ 1 x))) x)))>
#<alt (+ (* -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* -1 (/ (+ (* -1 (- 2 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* -1 (/ (- (+ (* -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)) (* 2 (/ 1 x))) (* 4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))) x)))>
#<alt (+ 1 (* 4 (sqrt x)))>
#<alt (+ 1 (+ x (* 4 (sqrt x))))>
#<alt (+ 1 (+ x (* 4 (sqrt x))))>
#<alt (+ 1 (+ x (* 4 (sqrt x))))>
#<alt (* x (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))>
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))>
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* 3/2 (sqrt x))>
#<alt (* 3/2 (sqrt x))>
#<alt (* 3/2 (sqrt x))>
#<alt (* 3/2 (sqrt x))>
#<alt (* 3/2 (sqrt x))>
#<alt (* 3/2 (sqrt x))>
#<alt (* 3/2 (sqrt x))>
#<alt (* 3/2 (sqrt x))>
#<alt (* -3/2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3/2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3/2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3/2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* 4 (sqrt x))>
#<alt (* 4 (sqrt x))>
#<alt (* 4 (sqrt x))>
#<alt (* 4 (sqrt x))>
#<alt (* 4 (sqrt x))>
#<alt (* 4 (sqrt x))>
#<alt (* 4 (sqrt x))>
#<alt (* 4 (sqrt x))>
#<alt (* -4 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -4 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -4 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -4 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (/ -6 (+ 1 (* 4 (sqrt x))))>
#<alt (- (* 6 (/ x (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))>
#<alt (- (* x (+ (* -6 (/ x (pow (+ 1 (* 4 (sqrt x))) 3))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))>
#<alt (- (* x (+ (* x (- (* 6 (/ x (pow (+ 1 (* 4 (sqrt x))) 4))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))>
#<alt (/ -6 (* x (+ 1 (* 4 (sqrt (/ 1 x))))))>
#<alt (/ (- (* 6 (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) x)>
#<alt (/ (- (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))))) x)>
#<alt (/ (- (+ (* 6 (/ 1 (* (pow x 3) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4)))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))) x)>
#<alt (/ 6 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))>
#<alt (/ (+ (* 6 (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ (* 6 (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) (+ (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))) (/ 6 (* (pow x 2) (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) x))>
#<alt (/ -6 (+ 1 (* 4 (sqrt x))))>
#<alt (- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))>
#<alt (- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))>
#<alt (- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))>
#<alt (* 3/2 (sqrt x))>
#<alt (+ (* 3/2 (sqrt x)) (* 6 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) x)))>
#<alt (+ (* -3/2 (* (sqrt (/ 1 (pow x 3))) (- (* -1/4 (sqrt x)) (* 1/16 x)))) (+ (* 3/2 (sqrt x)) (* 6 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) x))))>
#<alt (+ (* -3/2 (* (sqrt (/ 1 (pow x 3))) (- (* -1/4 (sqrt x)) (* 1/16 x)))) (+ (* 3/8 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) (pow x 2))) (+ (* 3/2 (sqrt x)) (* 6 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) x)))))>
#<alt (* -3/2 (sqrt x))>
#<alt (+ (* -3/2 (sqrt x)) (* 6 (/ (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2)))) x)))>
#<alt (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -6 (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))) (* -3/2 (* (sqrt (/ 1 x)) (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))))) x)))>
#<alt (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -6 (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))) (* -1 (/ (+ (* -3/8 (/ (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* 3/2 (* (sqrt x) (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))))) x))) x)))>
#<alt (/ -1 (+ 1 (* 4 (sqrt x))))>
#<alt (- (/ x (+ 1 (* 4 (sqrt x)))) (/ 1 (+ 1 (* 4 (sqrt x)))))>
#<alt (- (/ x (+ 1 (* 4 (sqrt x)))) (/ 1 (+ 1 (* 4 (sqrt x)))))>
#<alt (- (/ x (+ 1 (* 4 (sqrt x)))) (/ 1 (+ 1 (* 4 (sqrt x)))))>
#<alt (* 1/4 (sqrt x))>
#<alt (- (+ (* -1/4 (sqrt (/ 1 x))) (* 1/4 (sqrt x))) 1/16)>
#<alt (- (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) (- (* -1/4 (sqrt x)) (* 1/16 x)))) (* 1/4 (sqrt x)))) 1/16)>
#<alt (- (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) (pow x 2))) (* 1/4 (sqrt x)))) (+ 1/16 (* 1/4 (* (sqrt (/ 1 (pow x 3))) (- (* -1/4 (sqrt x)) (* 1/16 x))))))>
#<alt (* -1/4 (sqrt x))>
#<alt (- (+ (* -1/4 (sqrt x)) (* 1/4 (sqrt (/ 1 x)))) (/ -1/16 (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (/ (+ (* -1 (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))) (* -1/4 (* (sqrt (/ 1 x)) (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))))) x)) (* -1/4 (sqrt x)))>
#<alt (+ (* -1 (/ (+ (* -1 (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))) (* -1 (/ (+ (* -1/16 (/ (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* 1/4 (* (sqrt x) (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))))) x))) x)) (* -1/4 (sqrt x)))>
#<alt -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (+ 1 (* 4 (sqrt x)))>
#<alt (+ 1 (* 4 (sqrt x)))>
#<alt (+ 1 (* 4 (sqrt x)))>
#<alt (+ 1 (* 4 (sqrt x)))>
#<alt (* 4 (sqrt x))>
#<alt (* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))>
#<alt (* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))>
#<alt (* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))>
#<alt (* -4 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))>

Calls

39 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(* (/ (+ x -1) (+ 1 (* 4 (sqrt x)))) 6)
1.0ms	x	@	-inf	(/ -6 (* 4 (sqrt x)))
1.0ms	x	@	inf	(* (/ (+ x -1) (+ 1 (* 4 (sqrt x)))) 6)
0.0ms	x	@	0	(* (/ (+ x -1) (+ 1 (* 4 (sqrt x)))) 6)
0.0ms	x	@	-inf	(/ (+ (+ x 1) (* 4 (sqrt x))) (+ x -1))

rewrite435.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

4744×	`-lowering-.f32`
4744×	`-lowering-.f64`
3926×	`/-lowering-/.f32`
3926×	`/-lowering-/.f64`
2052×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	88
1	114	85
2	927	85
0	8930	85

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 731

Calls

Call 1

Inputs
(/ 6 (/ (+ (+ x 1) (* 4 (sqrt x))) (+ x -1)))
(/ (+ (+ x 1) (* 4 (sqrt x))) (+ x -1))
(+ (+ x 1) (* 4 (sqrt x)))
(+ x 1)
(* (sqrt x) 3/2)
(sqrt x)
(/ -6 (* 4 (sqrt x)))
(* 4 (sqrt x))
(/ -6 (+ (+ x 1) (* 4 (sqrt x))))
(* (/ (+ x -1) (+ 1 (* 4 (sqrt x)))) 6)
(/ (+ x -1) (+ 1 (* 4 (sqrt x))))
(+ x -1)
(+ 1 (* 4 (sqrt x)))

Outputs
(+.f64 (/.f64 #s(literal 6 binary64) (+.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) x))) (/.f64 (.f64 x #s(literal -6 binary64)) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) x))))
(+.f64 (/.f64 #s(literal 6 binary64) (+.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) x))) (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 6 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) x)))))
(+.f64 (.f64 (/.f64 #s(literal 6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) x) (.f64 (/.f64 #s(literal 6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -1 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) x) (.f64 (.f64 (/.f64 #s(literal 6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) x))
(+.f64 (/.f64 (.f64 x #s(literal -6 binary64)) (+.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 6 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) x))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) x)) (.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -1 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -1 binary64))) (.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) x)))
(+.f64 (.f64 (/.f64 #s(literal 6 binary64) (+.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 6 binary64) (+.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) x))) (-.f64 #s(literal 0 binary64) x)))
(+.f64 (.f64 (/.f64 #s(literal 6 binary64) (+.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64)) (.f64 (/.f64 (.f64 x #s(literal -6 binary64)) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 6 binary64) (+.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) x))) (-.f64 #s(literal 0 binary64) x)) (.f64 (/.f64 #s(literal 6 binary64) (+.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) x))
(+.f64 (.f64 (/.f64 (.f64 x #s(literal -6 binary64)) (+.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 6 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64)))
(+.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 6 binary64) (+.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 6 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) x))))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal 6 binary64) (-.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 6 binary64) (/.f64 (+.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) x)) (+.f64 x #s(literal -1 binary64)))))
(fma.f64 x (/.f64 #s(literal 6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 6 binary64) (+.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) x))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (/.f64 (.f64 x #s(literal -6 binary64)) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) x))))
(fma.f64 (/.f64 #s(literal 6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) x (.f64 (/.f64 #s(literal 6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -1 binary64) (.f64 (/.f64 #s(literal 6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) x))
(neg.f64 (/.f64 #s(literal 6 binary64) (/.f64 (+.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) x)) (+.f64 x #s(literal -1 binary64)))))
(neg.f64 (.f64 (/.f64 #s(literal 6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (-.f64 #s(literal 1 binary64) x)))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (/.f64 (+.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) x)) (+.f64 x #s(literal -1 binary64))))))
(neg.f64 (.f64 (/.f64 #s(literal 6 binary64) (+.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) x))) (+.f64 x #s(literal -1 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 6 binary64) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 6 binary64) (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))) (+.f64 #s(literal -6 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 x #s(literal 1 binary64))) (+.f64 (.f64 #s(literal 6 binary64) (.f64 x x)) #s(literal -6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64)))) (.f64 (/.f64 #s(literal 6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 (*.f64 x x) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 6 binary64) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 6 binary64)))
(/.f64 #s(literal -6 binary64) (/.f64 (+.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) x)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal 6 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 #s(literal 6 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 (/.f64 #s(literal 6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal -6 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 6 binary64))) (.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (+.f64 (.f64 #s(literal 6 binary64) (.f64 x x)) #s(literal -6 binary64)) (.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal 6 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) x)))
(/.f64 (.f64 (/.f64 #s(literal 6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (.f64 (/.f64 #s(literal 6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal -6 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 6 binary64)))) (neg.f64 (.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 6 binary64) (.f64 x x)) #s(literal -6 binary64))) (neg.f64 (.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 (/.f64 #s(literal 6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (.f64 (/.f64 #s(literal 6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 (*.f64 x x) #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) x))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 #s(literal 6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) x) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (/.f64 #s(literal 6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) x) (.f64 (/.f64 #s(literal 6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) x)) (-.f64 (.f64 (.f64 (/.f64 #s(literal 6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -1 binary64))) (.f64 (.f64 (/.f64 #s(literal 6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) x) (.f64 (/.f64 #s(literal 6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -1 binary64))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 (.f64 x (.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64)))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 (.f64 x x) (+.f64 x #s(literal 1 binary64)))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 (.f64 x x) (+.f64 x #s(literal 1 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))
(.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64)))))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))
(.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (neg.f64 (/.f64 (.f64 x #s(literal 16 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))))
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (/.f64 (.f64 x #s(literal 16 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -4 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 x #s(literal 16 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 x #s(literal 16 binary64)) (+.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64) #s(literal 1 binary64))
(neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (.f64 x #s(literal 16 binary64)) #s(literal 1 binary64)) (.f64 (sqrt.f64 x) #s(literal -4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (+.f64 (.f64 x #s(literal 16 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 16 binary64))) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64))) (+.f64 (+.f64 (.f64 x #s(literal 16 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 16 binary64))) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -16 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -4 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -16 binary64))) (neg.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 16 binary64))) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (+.f64 (.f64 x #s(literal 16 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -16 binary64)))) (+.f64 #s(literal -1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 (+.f64 (.f64 x #s(literal 16 binary64)) #s(literal -1 binary64)) (+.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -4 binary64))) (.f64 x #s(literal 16 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -4 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64))))) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 16 binary64))) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 16 binary64))) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -16 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -4 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -16 binary64))))) (neg.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(/.f64 (neg.f64 (+.f64 (.f64 x #s(literal 16 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x #s(literal 16 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -4 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -4 binary64))))) (+.f64 (.f64 (/.f64 (.f64 x #s(literal 16 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (/.f64 (.f64 x #s(literal 16 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -4 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (/.f64 (.f64 x #s(literal 16 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -4 binary64))))) (.f64 (/.f64 (.f64 x #s(literal 16 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (/.f64 (.f64 x #s(literal 16 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (/.f64 (.f64 x #s(literal 16 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 16 binary64))) (.f64 (sqrt.f64 x) #s(literal -4 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -16 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) #s(literal -4 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 16 binary64))) (.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (.f64 x #s(literal 16 binary64)) #s(literal 1 binary64)) (.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -16 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 16 binary64))) (.f64 (sqrt.f64 x) #s(literal -4 binary64))))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -16 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(.f64 (+.f64 (.f64 x #s(literal 16 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal -1 binary64))))

simplify325.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

2944×	`-lowering-.f32`
2944×	`-lowering-.f64`
2238×	`+-lowering-+.f64`
2238×	`+-lowering-+.f32`
1666×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	342	2393
1	1158	2008
2	3939	1924
0	8215	1924

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

Inputs
(/ -6 (+ 1 (* 4 (sqrt x))))
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(* -1 (+ 1 (* 4 (sqrt x))))
(+ (* -1 (* x (+ 2 (* 4 (sqrt x))))) (* -1 (+ 1 (* 4 (sqrt x)))))
(+ (* -1 (+ 1 (* 4 (sqrt x)))) (* x (- (* -1 (* x (+ 2 (* 4 (sqrt x))))) (+ 2 (* 4 (sqrt x))))))
(+ (* -1 (+ 1 (* 4 (sqrt x)))) (* x (- (* x (- (* -1 (* x (+ 2 (* 4 (sqrt x))))) (+ 2 (* 4 (sqrt x))))) (+ 2 (* 4 (sqrt x))))))
(+ 1 (* 4 (sqrt (/ 1 x))))
(- (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))) (* -1 (/ (+ 1 (* 4 (sqrt (/ 1 x)))) x)))
(- (+ 1 (+ (* 4 (sqrt (/ 1 x))) (+ (/ 1 x) (/ 1 (pow x 2))))) (+ (* -1 (/ (+ 1 (* 4 (sqrt (/ 1 x)))) x)) (* -1 (/ (+ 1 (* 4 (sqrt (/ 1 x)))) (pow x 2)))))
(- (+ 1 (+ (* 4 (sqrt (/ 1 x))) (+ (/ 1 x) (/ 1 (pow x 3))))) (+ (* -1 (/ (+ 1 (* 4 (sqrt (/ 1 x)))) x)) (+ (* -1 (/ (+ 1 (* 4 (sqrt (/ 1 x)))) (pow x 3))) (* -1 (/ (- 1 (* -1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (pow x 2))))))
(* -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(- (+ (* -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* 2 (/ 1 x))) (* 4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))
(+ (* -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* -1 (/ (- (+ (* -1 (- 2 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) (* 2 (/ 1 x))) x)))
(+ (* -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* -1 (/ (+ (* -1 (- 2 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* -1 (/ (- (+ (* -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)) (* 2 (/ 1 x))) (* 4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))) x)))
(+ 1 (* 4 (sqrt x)))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt x))))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* 3/2 (sqrt x))
(* 3/2 (sqrt x))
(* 3/2 (sqrt x))
(* 3/2 (sqrt x))
(* 3/2 (sqrt x))
(* 3/2 (sqrt x))
(* 3/2 (sqrt x))
(* 3/2 (sqrt x))
(* -3/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3/2 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* 4 (sqrt x))
(* 4 (sqrt x))
(* 4 (sqrt x))
(* 4 (sqrt x))
(* 4 (sqrt x))
(* 4 (sqrt x))
(* 4 (sqrt x))
(* 4 (sqrt x))
(* -4 (* (sqrt x) (pow (sqrt -1) 2)))
(* -4 (* (sqrt x) (pow (sqrt -1) 2)))
(* -4 (* (sqrt x) (pow (sqrt -1) 2)))
(* -4 (* (sqrt x) (pow (sqrt -1) 2)))
(/ -6 (+ 1 (* 4 (sqrt x))))
(- (* 6 (/ x (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* -6 (/ x (pow (+ 1 (* 4 (sqrt x))) 3))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* x (- (* 6 (/ x (pow (+ 1 (* 4 (sqrt x))) 4))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(/ -6 (* x (+ 1 (* 4 (sqrt (/ 1 x))))))
(/ (- (* 6 (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) x)
(/ (- (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))))) x)
(/ (- (+ (* 6 (/ 1 (* (pow x 3) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4)))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))) x)
(/ 6 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(/ (+ (* 6 (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) x)
(* -1 (/ (- (* -1 (/ (+ (* 6 (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) x))
(* -1 (/ (- (* -1 (/ (+ (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) (+ (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))) (/ 6 (* (pow x 2) (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) x))
(/ -6 (+ 1 (* 4 (sqrt x))))
(- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(* 3/2 (sqrt x))
(+ (* 3/2 (sqrt x)) (* 6 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) x)))
(+ (* -3/2 (* (sqrt (/ 1 (pow x 3))) (- (* -1/4 (sqrt x)) (* 1/16 x)))) (+ (* 3/2 (sqrt x)) (* 6 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) x))))
(+ (* -3/2 (* (sqrt (/ 1 (pow x 3))) (- (* -1/4 (sqrt x)) (* 1/16 x)))) (+ (* 3/8 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) (pow x 2))) (+ (* 3/2 (sqrt x)) (* 6 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) x)))))
(* -3/2 (sqrt x))
(+ (* -3/2 (sqrt x)) (* 6 (/ (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2)))) x)))
(+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -6 (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))) (* -3/2 (* (sqrt (/ 1 x)) (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))))) x)))
(+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -6 (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))) (* -1 (/ (+ (* -3/8 (/ (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* 3/2 (* (sqrt x) (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))))) x))) x)))
(/ -1 (+ 1 (* 4 (sqrt x))))
(- (/ x (+ 1 (* 4 (sqrt x)))) (/ 1 (+ 1 (* 4 (sqrt x)))))
(- (/ x (+ 1 (* 4 (sqrt x)))) (/ 1 (+ 1 (* 4 (sqrt x)))))
(- (/ x (+ 1 (* 4 (sqrt x)))) (/ 1 (+ 1 (* 4 (sqrt x)))))
(* 1/4 (sqrt x))
(- (+ (* -1/4 (sqrt (/ 1 x))) (* 1/4 (sqrt x))) 1/16)
(- (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) (- (* -1/4 (sqrt x)) (* 1/16 x)))) (* 1/4 (sqrt x)))) 1/16)
(- (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) (pow x 2))) (* 1/4 (sqrt x)))) (+ 1/16 (* 1/4 (* (sqrt (/ 1 (pow x 3))) (- (* -1/4 (sqrt x)) (* 1/16 x))))))
(* -1/4 (sqrt x))
(- (+ (* -1/4 (sqrt x)) (* 1/4 (sqrt (/ 1 x)))) (/ -1/16 (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))) (* -1/4 (* (sqrt (/ 1 x)) (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))))) x)) (* -1/4 (sqrt x)))
(+ (* -1 (/ (+ (* -1 (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))) (* -1 (/ (+ (* -1/16 (/ (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* 1/4 (* (sqrt x) (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))))) x))) x)) (* -1/4 (sqrt x)))
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(+ 1 (* 4 (sqrt x)))
(+ 1 (* 4 (sqrt x)))
(+ 1 (* 4 (sqrt x)))
(+ 1 (* 4 (sqrt x)))
(* 4 (sqrt x))
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))
(* -4 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))

Outputs
(/ -6 (+ 1 (* 4 (sqrt x))))
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
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(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 3 binary64))) (/.f64 #s(literal -6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64)))))) (/.f64 #s(literal 6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
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(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))))
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(+.f64 (/.f64 (+.f64 (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal -6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))) x) (/.f64 #s(literal -6 binary64) (+.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))))
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(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))))
(+.f64 (+.f64 (/.f64 #s(literal -6 binary64) (+.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal -6 binary64) (+.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))) (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))) (.f64 #s(literal -6 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) x) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 4 binary64)))) (.f64 x (*.f64 x x))))))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))))
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(.f64 #s(literal 6 binary64) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
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(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(-.f64 (/.f64 #s(literal -6 binary64) (+.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))) (/.f64 (-.f64 (.f64 #s(literal -6 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))) (/.f64 (+.f64 (.f64 #s(literal -6 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))) (/.f64 (.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))) #s(literal 4 binary64))))) x)) x)) x))
(* -1 (+ 1 (* 4 (sqrt x))))
(+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
(+ (* -1 (* x (+ 2 (* 4 (sqrt x))))) (* -1 (+ 1 (* 4 (sqrt x)))))
(+.f64 (+.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) #s(literal -4 binary64))) (.f64 x (+.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(+ (* -1 (+ 1 (* 4 (sqrt x)))) (* x (- (* -1 (* x (+ 2 (* 4 (sqrt x))))) (+ 2 (* 4 (sqrt x))))))
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(+ (* -3/2 (* (sqrt (/ 1 (pow x 3))) (- (* -1/4 (sqrt x)) (* 1/16 x)))) (+ (* 3/2 (sqrt x)) (* 6 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) x))))
(+.f64 (+.f64 (.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) (.f64 #s(literal 6 binary64) (+.f64 (/.f64 (.f64 (sqrt.f64 x) #s(literal -1/4 binary64)) x) #s(literal -1/16 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (+.f64 (.f64 (sqrt.f64 x) #s(literal -1/4 binary64)) (*.f64 x #s(literal -1/16 binary64))) #s(literal -3/2 binary64))))
(+ (* -3/2 (* (sqrt (/ 1 (pow x 3))) (- (* -1/4 (sqrt x)) (* 1/16 x)))) (+ (* 3/8 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) (pow x 2))) (+ (* 3/2 (sqrt x)) (* 6 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) x)))))
(+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (+.f64 (.f64 (sqrt.f64 x) #s(literal -1/4 binary64)) (.f64 x #s(literal -1/16 binary64))) #s(literal -3/2 binary64))) (+.f64 (+.f64 (.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) (.f64 #s(literal 6 binary64) (+.f64 (/.f64 (.f64 (sqrt.f64 x) #s(literal -1/4 binary64)) x) #s(literal -1/16 binary64)))) (.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal -1/4 binary64)) x) #s(literal -1/16 binary64)) (/.f64 #s(literal 3/8 binary64) x))))
(* -3/2 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))
(+ (* -3/2 (sqrt x)) (* 6 (/ (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2)))) x)))
(+.f64 (.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) (.f64 #s(literal 6 binary64) (+.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/4 binary64) x)) #s(literal -1/16 binary64))))
(+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -6 (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))) (* -3/2 (* (sqrt (/ 1 x)) (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))))) x)))
(+.f64 (.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) (.f64 (+.f64 (.f64 (sqrt.f64 x) (/.f64 #s(literal 1/4 binary64) x)) #s(literal -1/16 binary64)) (/.f64 (+.f64 #s(literal -6 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))) #s(literal -1 binary64))))
(+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -6 (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))) (* -1 (/ (+ (* -3/8 (/ (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* 3/2 (* (sqrt x) (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))))) x))) x)))
(-.f64 (.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) (/.f64 (-.f64 (.f64 #s(literal -6 binary64) (+.f64 (.f64 (sqrt.f64 x) #s(literal 1/4 binary64)) (.f64 x #s(literal -1/16 binary64)))) (/.f64 (+.f64 (.f64 #s(literal -3/8 binary64) (+.f64 (.f64 (sqrt.f64 x) #s(literal -1/4 binary64)) (.f64 x #s(literal 1/16 binary64)))) (.f64 (.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) (+.f64 (.f64 (sqrt.f64 x) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/16 binary64))))) x)) x))
(/ -1 (+ 1 (* 4 (sqrt x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
(- (/ x (+ 1 (* 4 (sqrt x)))) (/ 1 (+ 1 (* 4 (sqrt x)))))
(+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(- (/ x (+ 1 (* 4 (sqrt x)))) (/ 1 (+ 1 (* 4 (sqrt x)))))
(+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(- (/ x (+ 1 (* 4 (sqrt x)))) (/ 1 (+ 1 (* 4 (sqrt x)))))
(+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(* 1/4 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 1/4 binary64))
(- (+ (* -1/4 (sqrt (/ 1 x))) (* 1/4 (sqrt x))) 1/16)
(+.f64 (.f64 (sqrt.f64 x) #s(literal 1/4 binary64)) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/4 binary64)) #s(literal -1/16 binary64)))
(- (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) (- (* -1/4 (sqrt x)) (* 1/16 x)))) (* 1/4 (sqrt x)))) 1/16)
(+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 (sqrt.f64 x) #s(literal -1/4 binary64)) (.f64 x #s(literal -1/16 binary64)))))) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 1/4 binary64)) #s(literal -1/16 binary64)))
(- (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) (pow x 2))) (* 1/4 (sqrt x)))) (+ 1/16 (* 1/4 (* (sqrt (/ 1 (pow x 3))) (- (* -1/4 (sqrt x)) (* 1/16 x))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/4 binary64)) (-.f64 (+.f64 (+.f64 (.f64 (sqrt.f64 x) #s(literal 1/4 binary64)) (/.f64 (.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 (.f64 (sqrt.f64 x) #s(literal -1/4 binary64)) x) #s(literal -1/16 binary64))) x)) #s(literal -1/16 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (+.f64 (.f64 (sqrt.f64 x) #s(literal -1/4 binary64)) (.f64 x #s(literal -1/16 binary64))) #s(literal 1/4 binary64)))))
(* -1/4 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal -1/4 binary64))
(- (+ (* -1/4 (sqrt x)) (* 1/4 (sqrt (/ 1 x)))) (/ -1/16 (pow (sqrt -1) 2)))
(+.f64 (.f64 (sqrt.f64 x) #s(literal -1/4 binary64)) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) #s(literal -1/16 binary64)))
(+ (* -1 (/ (+ (* -1 (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))) (* -1/4 (* (sqrt (/ 1 x)) (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))))) x)) (* -1/4 (sqrt x)))
(+.f64 (.f64 (sqrt.f64 x) #s(literal -1/4 binary64)) (.f64 (+.f64 (.f64 (sqrt.f64 x) (/.f64 #s(literal 1/4 binary64) x)) #s(literal -1/16 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/4 binary64))) #s(literal -1 binary64))))
(+ (* -1 (/ (+ (* -1 (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))) (* -1 (/ (+ (* -1/16 (/ (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* 1/4 (* (sqrt x) (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))))) x))) x)) (* -1/4 (sqrt x)))
(+.f64 (.f64 (sqrt.f64 x) #s(literal -1/4 binary64)) (/.f64 (+.f64 (.f64 (sqrt.f64 x) #s(literal 1/4 binary64)) (+.f64 (.f64 x #s(literal -1/16 binary64)) (/.f64 (+.f64 (.f64 #s(literal -1/16 binary64) (+.f64 (.f64 (sqrt.f64 x) #s(literal -1/4 binary64)) (.f64 x #s(literal 1/16 binary64)))) (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 x) (+.f64 (.f64 (sqrt.f64 x) #s(literal 1/4 binary64)) (.f64 x #s(literal -1/16 binary64)))))) x))) x))
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
x
(* x (- 1 (/ 1 x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(* x (- 1 (/ 1 x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(* x (- 1 (/ 1 x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x))
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x))
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x))
(+ 1 (* 4 (sqrt x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(+ 1 (* 4 (sqrt x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(+ 1 (* 4 (sqrt x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(+ 1 (* 4 (sqrt x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(* 4 (sqrt x))
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 4 binary64) x)))
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 4 binary64) x)))
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 4 binary64) x)))
(* -4 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(+.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))) #s(literal 1 binary64))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(+.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))) #s(literal 1 binary64))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(+.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))) #s(literal 1 binary64))

eval208.0ms (2.1%)

Compiler: Compiled 28558 to 3010 computations (89.5% saved)

prune480.0ms (4.8%)

Pruning

17 alts after pruning (10 fresh and 7 done)

	Pruned	Kept	Total
New	1289	6	1295
Fresh	1	4	5
Picked	1	4	5
Done	0	3	3
Total	1291	17	1308

Accuracy

100.0%

Counts

1308 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.2%	(/.f64 (.f64 x #s(literal 6 binary64)) (+.f64 x (.f64 #s(literal 4 binary64) (sqrt.f64 x))))
✓	99.9%	(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 x #s(literal -1 binary64))))
	51.4%	(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 x #s(literal -1 binary64))))
	50.6%	(/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
	4.6%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal -3/2 binary64)))
▶	4.6%	(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
▶	49.2%	(/.f64 #s(literal -6 binary64) (-.f64 (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x) #s(literal -1 binary64)))
✓	49.2%	(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
✓	48.9%	(/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
▶	3.9%	(.f64 (pow.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 3/2 binary64))
	4.6%	(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -3/2 binary64))
✓	100.0%	(.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))
▶	53.4%	(.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))
✓	51.4%	(.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))
✓	99.4%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (*.f64 #s(literal 6 binary64) (+.f64 x #s(literal -1 binary64))))
▶	4.6%	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
✓	4.3%	(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))

Compiler

Compiled 265 to 215 computations (18.9% saved)

simplify130.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
✓	cost-diff	(+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)
✓	cost-diff	(-.f64 (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x) #s(literal -1 binary64))
✓	cost-diff	(/.f64 #s(literal -6 binary64) (-.f64 (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x) #s(literal -1 binary64)))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
✓	cost-diff	(.f64 (pow.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 3/2 binary64))
✓	cost-diff	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
✓	cost-diff	(sqrt.f64 x)
✓	cost-diff	(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
✓	cost-diff	(+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
✓	cost-diff	(+.f64 x #s(literal -1 binary64))
✓	cost-diff	(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
✓	cost-diff	(.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))

Rules

1992×	`fnmadd-define`
1396×	`fma-define`
1246×	`sum3-define`
1122×	`fmsub-define`
1106×	`fnmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	108
1	42	108
2	58	108
3	80	107
4	106	107
5	136	107
6	201	107
7	412	107
8	947	107
9	1857	107
10	2991	107
11	4144	107
12	5780	107
13	6296	107
14	6320	107
0	6320	107

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (/ (+ x -1) (+ x (* 4 (sqrt x)))) 6)
(/ (+ x -1) (+ x (* 4 (sqrt x))))
(+ x -1)
x
-1
(+ x (* 4 (sqrt x)))
(* 4 (sqrt x))
4
(sqrt x)
6
(/ -3/2 (sqrt x))
-3/2
(sqrt x)
x
(* (sqrt (/ 1 x)) -3/2)
(sqrt (/ 1 x))
(/ 1 x)
1
x
-3/2
(* (pow (* x x) 1/4) 3/2)
(pow (* x x) 1/4)
(* x x)
x
1/4
3/2
(/ -6 (- (+ (* 4 (sqrt x)) x) -1))
-6
(- (+ (* 4 (sqrt x)) x) -1)
(+ (* 4 (sqrt x)) x)
(* 4 (sqrt x))
4
(sqrt x)
x
-1

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

localize99.0ms (1%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	100.0%	(-.f64 (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x) #s(literal -1 binary64))
✓	accuracy	100.0%	(+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)
✓	accuracy	99.9%	(/.f64 #s(literal -6 binary64) (-.f64 (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x) #s(literal -1 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.5%	(.f64 (pow.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 3/2 binary64))
✓	accuracy	53.0%	(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.8%	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.6%	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.6%	(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	100.0%	(+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
✓	accuracy	99.8%	(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
✓	accuracy	99.8%	(.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))

Results

67.0ms

256×

valid

Compiler

Compiled 119 to 26 computations (78.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 9.0ms (26.8% of total)

ival-div: 7.0ms (20.8% of total)

ival-pow: 7.0ms (20.8% of total)

ival-add: 4.0ms (11.9% of total)

ival-sqrt: 4.0ms (11.9% of total)

ival-sub: 1.0ms (3% of total)

const: 1.0ms (3% of total)

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

series92.0ms (0.9%)

Counts

16 → 192

Calls

Call 1

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

Outputs
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (+ (* -3/2 (sqrt (/ 1 x))) (* 6 (* x (+ (* 1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x))))))>
#<alt (+ (* -3/2 (sqrt (/ 1 x))) (* x (+ (* -3/2 (* (sqrt x) (+ (* 1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x))))) (* 6 (+ (* 1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x)))))))>
#<alt (+ (* -3/2 (sqrt (/ 1 x))) (* x (+ (* 6 (+ (* 1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x)))) (* x (+ (* -3/2 (* (sqrt (/ 1 x)) (+ (* 1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x))))) (* 3/8 (+ (* 1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x)))))))))>
#<alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (- (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x))))))))>
#<alt (- (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x))))))))>
#<alt (- (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x))))))))>
#<alt (/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))>
#<alt (- (* 6 (/ 1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))>
#<alt (- (* 6 (/ 1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))>
#<alt (- (* 6 (/ 1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))>
#<alt (* -1/4 (sqrt (/ 1 x)))>
#<alt (+ (* -1/4 (sqrt (/ 1 x))) (* x (+ (* 1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x)))))>
#<alt (+ (* -1/4 (sqrt (/ 1 x))) (* x (+ (* -1/4 (* (sqrt x) (+ (* 1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x))))) (+ (* 1/16 (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))))))>
#<alt (+ (* -1/4 (sqrt (/ 1 x))) (* x (+ (* 1/16 (/ 1 x)) (+ (* 1/4 (sqrt (/ 1 x))) (* x (- (* 1/16 (+ (* 1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x)))) (* 1/4 (* (sqrt (/ 1 x)) (+ (* 1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x)))))))))))>
#<alt (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (- (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))))>
#<alt (- (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))))>
#<alt (- (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))))>
#<alt (/ -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))>
#<alt (- (/ 1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))>
#<alt (- (/ 1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))>
#<alt (- (/ 1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))>
#<alt -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* 4 (sqrt x))>
#<alt (+ x (* 4 (sqrt x)))>
#<alt (+ x (* 4 (sqrt x)))>
#<alt (+ x (* 4 (sqrt x)))>
#<alt (* x (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (* x (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (* x (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (* x (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (* 3/2 (sqrt x))>
#<alt (* 3/2 (sqrt x))>
#<alt (* 3/2 (sqrt x))>
#<alt (* 3/2 (sqrt x))>
#<alt (* 3/2 (sqrt x))>
#<alt (* 3/2 (sqrt x))>
#<alt (* 3/2 (sqrt x))>
#<alt (* 3/2 (sqrt x))>
#<alt (* -3/2 (* (sqrt x) (sqrt -1)))>
#<alt (* -3/2 (* (sqrt x) (sqrt -1)))>
#<alt (* -3/2 (* (sqrt x) (sqrt -1)))>
#<alt (* -3/2 (* (sqrt x) (sqrt -1)))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (sqrt -1)))>
#<alt (* -1 (* (sqrt x) (sqrt -1)))>
#<alt (* -1 (* (sqrt x) (sqrt -1)))>
#<alt (* -1 (* (sqrt x) (sqrt -1)))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (/ -6 (+ 1 (* 4 (sqrt x))))>
#<alt (- (* 6 (/ x (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))>
#<alt (- (* x (+ (* -6 (/ x (pow (+ 1 (* 4 (sqrt x))) 3))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))>
#<alt (- (* x (+ (* x (- (* 6 (/ x (pow (+ 1 (* 4 (sqrt x))) 4))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))>
#<alt (/ -6 (* x (+ 1 (* 4 (sqrt (/ 1 x))))))>
#<alt (/ (- (* 6 (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) x)>
#<alt (/ (- (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))))) x)>
#<alt (/ (- (+ (* 6 (/ 1 (* (pow x 3) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4)))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))) x)>
#<alt (/ 6 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))>
#<alt (/ (+ (* 6 (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ (* 6 (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) (+ (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))) (/ 6 (* (pow x 2) (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) x))>
#<alt (+ 1 (* 4 (sqrt x)))>
#<alt (+ 1 (+ x (* 4 (sqrt x))))>
#<alt (+ 1 (+ x (* 4 (sqrt x))))>
#<alt (+ 1 (+ x (* 4 (sqrt x))))>
#<alt (* x (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))>
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))>
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))>
#<alt (* 4 (sqrt x))>
#<alt (+ x (* 4 (sqrt x)))>
#<alt (+ x (* 4 (sqrt x)))>
#<alt (+ x (* 4 (sqrt x)))>
#<alt (* x (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (* x (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (* x (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (* x (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))>
#<alt (* 4 (sqrt x))>
#<alt (* 4 (sqrt x))>
#<alt (* 4 (sqrt x))>
#<alt (* 4 (sqrt x))>
#<alt (* 4 (sqrt x))>
#<alt (* 4 (sqrt x))>
#<alt (* 4 (sqrt x))>
#<alt (* 4 (sqrt x))>
#<alt (* -4 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -4 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -4 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -4 (* (sqrt x) (pow (sqrt -1) 2)))>

Calls

48 calls:

Time	Variable		Point	Expression
83.0ms	x	@	0	(* (pow (* x x) 1/4) 3/2)
3.0ms	x	@	-inf	(* (/ (+ x -1) (+ x (* 4 (sqrt x)))) 6)
1.0ms	x	@	0	(* (/ (+ x -1) (+ x (* 4 (sqrt x)))) 6)
1.0ms	x	@	inf	(* (/ (+ x -1) (+ x (* 4 (sqrt x)))) 6)
1.0ms	x	@	inf	(* (pow (* x x) 1/4) 3/2)

rewrite374.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

4622×	`-lowering-.f32`
4622×	`-lowering-.f64`
3330×	`/-lowering-/.f32`
3330×	`/-lowering-/.f64`
2238×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	80
1	126	76
2	959	76
0	8526	76

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 638

Calls

Call 1

Inputs
(* (/ (+ x -1) (+ x (* 4 (sqrt x)))) 6)
(/ (+ x -1) (+ x (* 4 (sqrt x))))
(+ x -1)
(+ x (* 4 (sqrt x)))
(/ -3/2 (sqrt x))
(sqrt x)
(* (sqrt (/ 1 x)) -3/2)
(sqrt (/ 1 x))
(/ 1 x)
(* (pow (* x x) 1/4) 3/2)
(pow (* x x) 1/4)
(* x x)
(/ -6 (- (+ (* 4 (sqrt x)) x) -1))
(- (+ (* 4 (sqrt x)) x) -1)
(+ (* 4 (sqrt x)) x)
(* 4 (sqrt x))

Outputs
(+.f64 (.f64 (/.f64 (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)) (+.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 3/2 binary64))))) (.f64 x x)) (.f64 (/.f64 (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)) (+.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 3/2 binary64))))) (+.f64 (.f64 x #s(literal 16 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -4 binary64)))))
(+.f64 (.f64 (/.f64 (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)) (+.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 3/2 binary64))))) (+.f64 (.f64 x #s(literal 16 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -4 binary64)))) (.f64 (/.f64 (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)) (+.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 3/2 binary64))))) (*.f64 x x)))
(+.f64 (.f64 (/.f64 (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)) (+.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 3/2 binary64))))) (.f64 x #s(literal 16 binary64))) (.f64 (/.f64 (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)) (+.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 3/2 binary64))))) (+.f64 (.f64 x x) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -4 binary64)))))
(+.f64 (.f64 (/.f64 (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)) (+.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 3/2 binary64))))) (+.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -4 binary64)))) (.f64 (/.f64 (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)) (+.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 3/2 binary64))))) (*.f64 x #s(literal 16 binary64))))
(+.f64 (.f64 (/.f64 (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)) (+.f64 (.f64 x x) (.f64 x #s(literal -16 binary64)))) x) (.f64 (/.f64 (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)) (+.f64 (.f64 x x) (.f64 x #s(literal -16 binary64)))) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
(+.f64 (.f64 (/.f64 (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)) (-.f64 (.f64 x #s(literal 16 binary64)) (.f64 x x))) (.f64 #s(literal 4 binary64) (sqrt.f64 x))) (.f64 (/.f64 (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)) (-.f64 (.f64 x #s(literal 16 binary64)) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x)))
(+.f64 (.f64 (.f64 x x) (/.f64 (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)) (+.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 3/2 binary64)))))) (.f64 (+.f64 (.f64 x #s(literal 16 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -4 binary64))) (/.f64 (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)) (+.f64 (.f64 x (.f64 x x)) (*.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 3/2 binary64)))))))
(+.f64 (.f64 (+.f64 (.f64 x #s(literal 16 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -4 binary64))) (/.f64 (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)) (+.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 3/2 binary64)))))) (.f64 (.f64 x x) (/.f64 (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)) (+.f64 (.f64 x (.f64 x x)) (*.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 3/2 binary64)))))))
(+.f64 (.f64 (.f64 x #s(literal 16 binary64)) (/.f64 (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)) (+.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 3/2 binary64)))))) (.f64 (+.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -4 binary64))) (/.f64 (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)) (+.f64 (.f64 x (.f64 x x)) (*.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 3/2 binary64)))))))
(+.f64 (.f64 (+.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -4 binary64))) (/.f64 (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)) (+.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 3/2 binary64)))))) (.f64 (.f64 x #s(literal 16 binary64)) (/.f64 (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)) (+.f64 (.f64 x (.f64 x x)) (*.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 3/2 binary64)))))))
(+.f64 (.f64 x (/.f64 (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)) (+.f64 (.f64 x x) (.f64 x #s(literal -16 binary64))))) (.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) (/.f64 (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)) (+.f64 (.f64 x x) (*.f64 x #s(literal -16 binary64))))))
(+.f64 (.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) (/.f64 (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)) (-.f64 (.f64 x #s(literal 16 binary64)) (.f64 x x)))) (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)) (-.f64 (.f64 x #s(literal 16 binary64)) (*.f64 x x)))))
(neg.f64 (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) #s(literal 6 binary64)))
(neg.f64 (.f64 #s(literal 6 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x))))
(neg.f64 (/.f64 (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)))
(neg.f64 (/.f64 (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -6 binary64)) (+.f64 x (.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x (.f64 #s(literal 4 binary64) (sqrt.f64 x))) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)))))
(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (.f64 #s(literal 4 binary64) (sqrt.f64 x))) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 x #s(literal -1 binary64))) #s(literal 6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 x (.f64 #s(literal 4 binary64) (sqrt.f64 x))) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal -6 binary64) (/.f64 (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)) (+.f64 x (.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -6 binary64)) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x #s(literal 16 binary64)) (-.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 x #s(literal 16 binary64)) (-.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)) (/.f64 (.f64 x #s(literal 16 binary64)) (-.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) x))) (+.f64 (.f64 (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) x))) (.f64 (/.f64 (.f64 x #s(literal 16 binary64)) (-.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (/.f64 (.f64 x x) (+.f64 x (.f64 (sqrt.f64 x) #s(literal -4 binary64))))) (.f64 (/.f64 (.f64 x #s(literal 16 binary64)) (+.f64 x (.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (/.f64 (.f64 x #s(literal 16 binary64)) (+.f64 x (.f64 (sqrt.f64 x) #s(literal -4 binary64)))))) (+.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (/.f64 (.f64 x #s(literal 16 binary64)) (+.f64 x (.f64 (sqrt.f64 x) #s(literal -4 binary64))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x #s(literal 16 binary64)) (-.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)) (/.f64 (.f64 x #s(literal 16 binary64)) (-.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) x))) (.f64 (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)))) (+.f64 (/.f64 (.f64 x #s(literal 16 binary64)) (-.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) x))))
(pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x))
(.f64 #s(literal 1 binary64) (+.f64 x (.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(.f64 (+.f64 x (.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 1 binary64))
(.f64 (+.f64 x (.f64 #s(literal 4 binary64) (sqrt.f64 x))) (.f64 (+.f64 x (.f64 (sqrt.f64 x) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))))
(.f64 (+.f64 x (.f64 #s(literal 4 binary64) (sqrt.f64 x))) (.f64 (-.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) x) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x))))
(.f64 (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x) #s(literal -1 binary64))
(.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (+.f64 (.f64 x #s(literal 16 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -4 binary64))))))
(.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 16 binary64)) (+.f64 (.f64 x x) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -4 binary64))))))
(.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (+.f64 (.f64 x #s(literal 16 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -4 binary64))))) #s(literal 1 binary64)))
(.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 16 binary64)) (+.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -4 binary64))))) #s(literal 1 binary64)))
(.f64 (+.f64 (.f64 x x) (+.f64 (.f64 x #s(literal 16 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -4 binary64)))) (.f64 (+.f64 x (.f64 #s(literal 4 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (+.f64 (.f64 x #s(literal 16 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -4 binary64)))))))
(.f64 (+.f64 (.f64 x x) (+.f64 (.f64 x #s(literal 16 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -4 binary64)))) (.f64 (+.f64 x (.f64 #s(literal 4 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 16 binary64)) (+.f64 (.f64 x x) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -4 binary64)))))))
(.f64 (+.f64 (.f64 x #s(literal 16 binary64)) (+.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -4 binary64)))) (.f64 (+.f64 x (.f64 #s(literal 4 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (+.f64 (.f64 x #s(literal 16 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -4 binary64)))))))
(.f64 (+.f64 (.f64 x #s(literal 16 binary64)) (+.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -4 binary64)))) (.f64 (+.f64 x (.f64 #s(literal 4 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 16 binary64)) (+.f64 (.f64 x x) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -4 binary64)))))))
(.f64 (+.f64 (.f64 x x) (.f64 x #s(literal -16 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(.f64 (+.f64 (.f64 x x) (.f64 x #s(literal -16 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) #s(literal 1 binary64)))
(.f64 (-.f64 (.f64 x #s(literal 16 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)))
(.f64 (-.f64 (.f64 x #s(literal 16 binary64)) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 3/2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (+.f64 (.f64 x #s(literal 16 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -4 binary64)))))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 3/2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x #s(literal 16 binary64)) (+.f64 (.f64 x x) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -4 binary64)))))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (.f64 x #s(literal -16 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x (.f64 (sqrt.f64 x) #s(literal -4 binary64))))))
(.f64 (+.f64 (.f64 x #s(literal -16 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)))
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 4 binary64))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 4 binary64)))
(.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))

simplify272.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

4390×	`-lowering-.f32`
4390×	`-lowering-.f64`
1802×	`+-lowering-+.f64`
1802×	`+-lowering-+.f32`
1552×	`sum5-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	185	1684
1	619	1461
2	2028	1358
3	7914	1358
0	8658	1358

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

Inputs
(* -3/2 (sqrt (/ 1 x)))
(+ (* -3/2 (sqrt (/ 1 x))) (* 6 (* x (+ (* 1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x))))))
(+ (* -3/2 (sqrt (/ 1 x))) (* x (+ (* -3/2 (* (sqrt x) (+ (* 1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x))))) (* 6 (+ (* 1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x)))))))
(+ (* -3/2 (sqrt (/ 1 x))) (* x (+ (* 6 (+ (* 1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x)))) (* x (+ (* -3/2 (* (sqrt (/ 1 x)) (+ (* 1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x))))) (* 3/8 (+ (* 1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x)))))))))
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
(- (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x))))))))
(- (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x))))))))
(- (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x))))))))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(- (* 6 (/ 1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* 6 (/ 1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* 6 (/ 1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(* -1/4 (sqrt (/ 1 x)))
(+ (* -1/4 (sqrt (/ 1 x))) (* x (+ (* 1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x)))))
(+ (* -1/4 (sqrt (/ 1 x))) (* x (+ (* -1/4 (* (sqrt x) (+ (* 1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x))))) (+ (* 1/16 (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))))))
(+ (* -1/4 (sqrt (/ 1 x))) (* x (+ (* 1/16 (/ 1 x)) (+ (* 1/4 (sqrt (/ 1 x))) (* x (- (* 1/16 (+ (* 1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x)))) (* 1/4 (* (sqrt (/ 1 x)) (+ (* 1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x)))))))))))
(/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))
(- (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))))
(- (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))))
(- (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))))
(/ -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(- (/ 1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(- (/ 1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(- (/ 1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* 4 (sqrt x))
(+ x (* 4 (sqrt x)))
(+ x (* 4 (sqrt x)))
(+ x (* 4 (sqrt x)))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* 3/2 (sqrt x))
(* 3/2 (sqrt x))
(* 3/2 (sqrt x))
(* 3/2 (sqrt x))
(* 3/2 (sqrt x))
(* 3/2 (sqrt x))
(* 3/2 (sqrt x))
(* 3/2 (sqrt x))
(* -3/2 (* (sqrt x) (sqrt -1)))
(* -3/2 (* (sqrt x) (sqrt -1)))
(* -3/2 (* (sqrt x) (sqrt -1)))
(* -3/2 (* (sqrt x) (sqrt -1)))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (sqrt -1)))
(* -1 (* (sqrt x) (sqrt -1)))
(* -1 (* (sqrt x) (sqrt -1)))
(* -1 (* (sqrt x) (sqrt -1)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ -6 (+ 1 (* 4 (sqrt x))))
(- (* 6 (/ x (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* -6 (/ x (pow (+ 1 (* 4 (sqrt x))) 3))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* x (- (* 6 (/ x (pow (+ 1 (* 4 (sqrt x))) 4))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(/ -6 (* x (+ 1 (* 4 (sqrt (/ 1 x))))))
(/ (- (* 6 (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) x)
(/ (- (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))))) x)
(/ (- (+ (* 6 (/ 1 (* (pow x 3) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4)))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))) x)
(/ 6 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(/ (+ (* 6 (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) x)
(* -1 (/ (- (* -1 (/ (+ (* 6 (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) x))
(* -1 (/ (- (* -1 (/ (+ (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) (+ (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))) (/ 6 (* (pow x 2) (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) x))
(+ 1 (* 4 (sqrt x)))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt x))))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* 4 (sqrt x))
(+ x (* 4 (sqrt x)))
(+ x (* 4 (sqrt x)))
(+ x (* 4 (sqrt x)))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* 4 (sqrt x))
(* 4 (sqrt x))
(* 4 (sqrt x))
(* 4 (sqrt x))
(* 4 (sqrt x))
(* 4 (sqrt x))
(* 4 (sqrt x))
(* 4 (sqrt x))
(* -4 (* (sqrt x) (pow (sqrt -1) 2)))
(* -4 (* (sqrt x) (pow (sqrt -1) 2)))
(* -4 (* (sqrt x) (pow (sqrt -1) 2)))
(* -4 (* (sqrt x) (pow (sqrt -1) 2)))

Outputs
(* -3/2 (sqrt (/ 1 x)))
(*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* -3/2 (sqrt (/ 1 x))) (* 6 (* x (+ (* 1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x))))))
(+.f64 (.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 3/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3/2 binary64) x))))
(+ (* -3/2 (sqrt (/ 1 x))) (* x (+ (* -3/2 (* (sqrt x) (+ (* 1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x))))) (* 6 (+ (* 1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x)))))))
(+.f64 (.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 (+.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 x #s(literal 1/4 binary64)))) (+.f64 #s(literal 6 binary64) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))))
(+ (* -3/2 (sqrt (/ 1 x))) (* x (+ (* 6 (+ (* 1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x)))) (* x (+ (* -3/2 (* (sqrt (/ 1 x)) (+ (* 1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x))))) (* 3/8 (+ (* 1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x)))))))))
(+.f64 (.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 1/16 binary64) x))) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3/8 binary64)))) (.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/16 binary64) x)) (+.f64 (*.f64 x #s(literal 3/8 binary64)) #s(literal 6 binary64))))))
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
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(/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))))) x)
(/ (- (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))))) x)
(/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))) (/.f64 (/.f64 #s(literal 6 binary64) (.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) #s(literal 3 binary64))))) x)
(/ (- (+ (* 6 (/ 1 (* (pow x 3) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4)))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))) x)
(/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) #s(literal 2 binary64)))) (+.f64 (-.f64 (/.f64 (/.f64 #s(literal 6 binary64) (.f64 x (.f64 x x))) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 6 binary64) (.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 6 binary64) (+.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))))) x)
(/ 6 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(/.f64 (/.f64 #s(literal -6 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))))
(/ (+ (* 6 (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) x)
(/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (.f64 x (pow.f64 (+.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))))) x)
(* -1 (/ (- (* -1 (/ (+ (* 6 (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) x))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 6 binary64) x) (pow.f64 (+.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))) #s(literal 3 binary64)))) x) (/.f64 #s(literal 6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))))) x)
(* -1 (/ (- (* -1 (/ (+ (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) (+ (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))) (/ 6 (* (pow x 2) (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) x))
(/.f64 (+.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 6 binary64) x) (pow.f64 (+.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))) #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 6 binary64) (.f64 x x)) (pow.f64 (+.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))) #s(literal 4 binary64)))) x) (/.f64 #s(literal 6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))))) x)
(+ 1 (* 4 (sqrt x)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(+ 1 (+ x (* 4 (sqrt x))))
(+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(+ 1 (+ x (* 4 (sqrt x))))
(+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(+ 1 (+ x (* 4 (sqrt x))))
(+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))))
(* 4 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 4 binary64))
(+ x (* 4 (sqrt x)))
(+.f64 x (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(+ x (* 4 (sqrt x)))
(+.f64 x (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(+ x (* 4 (sqrt x)))
(+.f64 x (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))))
(* 4 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 4 binary64))
(* 4 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 4 binary64))
(* 4 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 4 binary64))
(* 4 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 4 binary64))
(* 4 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 4 binary64))
(* 4 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 4 binary64))
(* 4 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 4 binary64))
(* 4 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 4 binary64))
(* -4 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 4 binary64))
(* -4 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 4 binary64))
(* -4 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 4 binary64))
(* -4 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 4 binary64))

eval197.0ms (2%)

Compiler: Compiled 17256 to 2123 computations (87.7% saved)

prune101.0ms (1%)

Pruning

22 alts after pruning (10 fresh and 12 done)

	Pruned	Kept	Total
New	921	5	926
Fresh	0	5	5
Picked	0	5	5
Done	0	7	7
Total	921	22	943

Accuracy

100.0%

Counts

943 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.2%	(/.f64 (.f64 x #s(literal 6 binary64)) (+.f64 x (.f64 #s(literal 4 binary64) (sqrt.f64 x))))
✓	99.9%	(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 x #s(literal -1 binary64))))
	51.4%	(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 x #s(literal -1 binary64))))
	50.6%	(/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
	4.6%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal -3/2 binary64)))
	4.4%	(/.f64 #s(literal -3/2 binary64) (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)))
	4.6%	(/.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))))
✓	4.6%	(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
✓	49.2%	(/.f64 #s(literal -6 binary64) (-.f64 (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x) #s(literal -1 binary64)))
✓	49.2%	(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
✓	48.9%	(/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
✓	3.9%	(.f64 (pow.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 3/2 binary64))
	4.4%	(.f64 (pow.f64 (.f64 x x) #s(literal -1/4 binary64)) #s(literal -3/2 binary64))
	4.6%	(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -3/2 binary64))
✓	100.0%	(.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))
✓	53.4%	(.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))
✓	51.4%	(.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))
	4.3%	(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3/2 binary64))
✓	99.4%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (*.f64 #s(literal 6 binary64) (+.f64 x #s(literal -1 binary64))))
	4.6%	(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -3/2 binary64))
✓	4.6%	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
✓	4.3%	(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))

Compiler

Compiled 461 to 244 computations (47.1% saved)

regimes18.0ms (0.2%)

Counts

27 → 1

Calls

Call 1

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

Outputs
(.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))

Calls

2 calls:

10.0ms	x
6.0ms	(/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(/.f64 (.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes10.0ms (0.1%)

Counts

23 → 2

Calls

Call 1

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

Outputs

(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 x #s(literal -1 binary64))))

(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
97.8%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts

20 → 2

Calls

Call 1

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

Outputs

(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))

(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
97.8%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0.1%)

Counts

19 → 2

Calls

Call 1

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

Outputs

(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))

(/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
97.8%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts

18 → 2

Calls

Call 1

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

Outputs

(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))

(/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
97.8%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts

14 → 2

Calls

Call 1

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

Outputs

(/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))

(/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
97.7%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts

13 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
51.3%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts

12 → 2

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -3/2 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -3/2 binary64))
(/.f64 #s(literal -6 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal -3/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3/2 binary64))
(.f64 (pow.f64 (.f64 x x) #s(literal -1/4 binary64)) #s(literal -3/2 binary64))
(.f64 (pow.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 3/2 binary64))
(/.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 #s(literal -3/2 binary64) (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)))

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
7.0%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
4.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch22.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	0.021150434914224015	27192116955.241646

Results

14.0ms

160×

valid

Compiler

Compiled 299 to 244 computations (18.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 5.0ms (48.8% of total)

ival-sub: 1.0ms (9.8% of total)

ival-div: 1.0ms (9.8% of total)

ival-add: 1.0ms (9.8% of total)

ival-sqrt: 1.0ms (9.8% of total)

const: 0.0ms (0% of total)

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

bsearch26.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	0.021150434914224015	27192116955.241646

Results

19.0ms

160×

valid

Compiler

Compiled 299 to 244 computations (18.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 2.0ms (27.6% of total)

ival-sub: 1.0ms (13.8% of total)

ival-div: 1.0ms (13.8% of total)

ival-add: 1.0ms (13.8% of total)

ival-sqrt: 1.0ms (13.8% of total)

const: 0.0ms (0% of total)

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

bsearch22.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	0.021150434914224015	27192116955.241646

Results

14.0ms

160×

valid

Compiler

Compiled 259 to 224 computations (13.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-sub: 4.0ms (37.9% of total)

ival-mult: 2.0ms (18.9% of total)

ival-div: 1.0ms (9.5% of total)

ival-add: 1.0ms (9.5% of total)

ival-sqrt: 1.0ms (9.5% of total)

const: 0.0ms (0% of total)

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

bsearch25.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	0.021150434914224015	27192116955.241646

Results

16.0ms

160×

valid

Compiler

Compiled 239 to 204 computations (14.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 7.0ms (58.8% of total)

ival-sub: 1.0ms (8.4% of total)

ival-div: 1.0ms (8.4% of total)

ival-add: 1.0ms (8.4% of total)

ival-sqrt: 1.0ms (8.4% of total)

const: 0.0ms (0% of total)

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

bsearch26.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	0.021150434914224015	27192116955.241646

Results

19.0ms

160×

valid

Compiler

Compiled 219 to 194 computations (11.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-sqrt: 9.0ms (61.6% of total)

ival-add: 2.0ms (13.7% of total)

ival-mult: 2.0ms (13.7% of total)

ival-sub: 1.0ms (6.8% of total)

ival-div: 1.0ms (6.8% of total)

const: 0.0ms (0% of total)

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

bsearch24.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	0.021150434914224015	27192116955.241646

Results

15.0ms

160×

valid

Compiler

Compiled 179 to 154 computations (14% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-sub: 5.0ms (44.4% of total)

ival-mult: 2.0ms (17.8% of total)

ival-div: 1.0ms (8.9% of total)

ival-add: 1.0ms (8.9% of total)

ival-sqrt: 1.0ms (8.9% of total)

const: 0.0ms (0% of total)

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

bsearch25.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	0.021150434914224015	27192116955.241646

Results

12.0ms

160×

valid

Compiler

Compiled 139 to 114 computations (18% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 3.0ms (37.3% of total)

ival-sub: 1.0ms (12.4% of total)

ival-div: 1.0ms (12.4% of total)

ival-add: 1.0ms (12.4% of total)

ival-sqrt: 1.0ms (12.4% of total)

const: 0.0ms (0% of total)

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

12×	`+-commutative_binary64`
10×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	168
1	53	168

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 x #s(literal -1 binary64)))) (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64)))
(if (<=.f64 x #s(literal 1 binary64)) (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64)) (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64)))
(if (<=.f64 x #s(literal 4 binary64)) (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64)) (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (.f64 (sqrt.f64 x) #s(literal 3/2 binary64)))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))

Outputs
(.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 x #s(literal -1 binary64)))) (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64)))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 x #s(literal -1 binary64)))) (.f64 #s(literal 6 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
(if (<=.f64 x #s(literal 1 binary64)) (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64)) (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64)))
(if (<=.f64 x #s(literal 1 binary64)) (.f64 #s(literal 6 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (.f64 #s(literal 6 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
(if (<=.f64 x #s(literal 4 binary64)) (.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64)) (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 4 binary64)) (.f64 #s(literal 6 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (.f64 (sqrt.f64 x) #s(literal 3/2 binary64)))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))

soundness2.2s (22.6%)

Rules

5122×	`-lowering-.f32`
5122×	`-lowering-.f64`
4744×	`-lowering-.f32`
4744×	`-lowering-.f64`
4462×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	121
1	148	110
2	1175	110
0	8632	110
0	11	30
1	63	30
2	544	28
0	8540	28
0	356	3643
1	1163	3046
2	3551	2938
0	8170	2938
0	131	825
1	416	722
2	1271	691
3	4223	691
0	8424	691
0	20	88
1	114	85
2	927	85
0	8930	85

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

Compiler

Compiled 495 to 308 computations (37.8% saved)

preprocess62.0ms (0.6%)

Compiler: Compiled 398 to 122 computations (69.3% saved)

analyze2.0ms (0%)

sample1.1s (11%)

preprocess173.0ms (1.7%)

explain117.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify136.0ms (1.4%)

localize44.0ms (0.4%)

series9.0ms (0.1%)

rewrite546.0ms (5.5%)

simplify245.0ms (2.5%)

eval85.0ms (0.9%)

prune84.0ms (0.8%)

simplify142.0ms (1.4%)

localize353.0ms (3.6%)

series15.0ms (0.1%)

rewrite635.0ms (6.4%)

simplify332.0ms (3.3%)

eval223.0ms (2.2%)

prune186.0ms (1.9%)

simplify133.0ms (1.3%)

localize95.0ms (1%)

series11.0ms (0.1%)

rewrite435.0ms (4.4%)

simplify325.0ms (3.3%)

eval208.0ms (2.1%)

prune480.0ms (4.8%)

simplify130.0ms (1.3%)

localize99.0ms (1%)

series92.0ms (0.9%)

rewrite374.0ms (3.8%)

simplify272.0ms (2.7%)

eval197.0ms (2%)

prune101.0ms (1%)

regimes18.0ms (0.2%)

regimes10.0ms (0.1%)

regimes7.0ms (0.1%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes5.0ms (0%)

regimes1.0ms (0%)

bsearch22.0ms (0.2%)

bsearch26.0ms (0.3%)

bsearch22.0ms (0.2%)

bsearch25.0ms (0.3%)

bsearch26.0ms (0.3%)

bsearch24.0ms (0.2%)

bsearch25.0ms (0.3%)

simplify10.0ms (0.1%)

soundness2.2s (22.6%)

preprocess62.0ms (0.6%)

end0.0ms (0%)

Profiling