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)

sample971.0ms (9.4%)

Results

733.0ms	8256×	0	valid
1.0ms	11×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 488.0ms

ival-mult: 154.0ms (31.6% of total)

ival-sub: 96.0ms (19.7% of total)

ival-add: 86.0ms (17.6% of total)

ival-sqrt: 74.0ms (15.2% of total)

ival-div: 56.0ms (11.5% of total)

const: 18.0ms (3.7% of total)

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

Bogosity

preprocess243.0ms (2.4%)

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)))

explain104.0ms (1%)

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

54.0ms	482×	0	valid
5.0ms	18×	1	valid
4.0ms	12×	2	valid

Compiler

Compiled 105 to 35 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 8.0ms (28.1% of total)

ival-add: 6.0ms (21.1% of total)

ival-div: 4.0ms (14.1% of total)

ival-sub: 4.0ms (14.1% of total)

ival-sqrt: 4.0ms (14.1% of total)

const: 1.0ms (3.5% of total)

backward-pass: 1.0ms (3.5% 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
▶	99.4%	(/.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)))))

Compiler

Compiled 15 to 12 computations (20% saved)

simplify153.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

2502×	`sum5-define`
2200×	`sum3-define`
1228×	`fmsub-define`
1226×	`fnmsub-define`
1120×	`fmm-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	45
1	26	43
2	49	42
3	93	42
4	152	42
5	286	42
6	608	42
7	973	42
8	1579	42
9	2205	42
10	3248	42
11	5014	42
12	6321	42
13	6497	42
14	7185	42
15	7185	42
16	7389	42
0	7389	42

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize46.0ms (0.4%)

Localize:

Found 4 expressions of interest:

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

Results

29.0ms	241×	0	valid
2.0ms	9×	1	valid
2.0ms	6×	2	valid

Compiler

Compiled 49 to 13 computations (73.5% saved)

Precisions

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

ival-mult: 4.0ms (27.9% of total)

ival-add: 3.0ms (20.9% of total)

ival-div: 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)

ival-sub: 1.0ms (7% of total)

series10.0ms (0.1%)

Counts

5 → 60

Calls

Call 1

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

Outputs
#<alt (/ -6 (- 1 (* -4 (sqrt x))))>
#<alt (- (* x (+ (* 6 (/ 1 (- 1 (* -4 (sqrt x))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x))))))>
#<alt (- (* x (+ (* -1 (* x (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 3)))))) (+ (* 6 (/ 1 (- 1 (* -4 (sqrt x))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2)))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x))))))>
#<alt (- (* x (+ (* 6 (/ 1 (- 1 (* -4 (sqrt x))))) (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* x (- (/ (* x (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 3))))) (- 1 (* -4 (sqrt x)))) (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 3))))))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x))))))>
#<alt (/ 6 (- 1 (* -4 (sqrt (/ 1 x)))))>
#<alt (+ (* -1 (/ (+ (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))) x)) (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))))>
#<alt (- (+ (* 6 (/ 1 (* (pow x 2) (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)))))))) (+ (/ 6 (* x (- 1 (* -4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))))>
#<alt (- (+ (* -1 (/ (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 3))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 4)))) (pow x 3))) (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x))))))) (+ (* -1 (/ (+ (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))) (* (pow x 2) (- 1 (* -4 (sqrt (/ 1 x))))))) (+ (/ 6 (* x (- 1 (* -4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2))))))>
#<alt (/ 6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3)))) x)) (+ (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 4)))) x)) (+ (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))))) x)) (+ (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))>
#<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 (* 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 (* -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 (/ 1 x)) (* -4 (sqrt (/ 1 x)))))>
#<alt (* x (- (+ 1 (/ 1 x)) (* -4 (sqrt (/ 1 x)))))>
#<alt (* x (- (+ 1 (/ 1 x)) (* -4 (sqrt (/ 1 x)))))>
#<alt (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))>
#<alt (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))>
#<alt (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 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	@	0	(/ (+ (* 6 x) -6) (+ x (- 1 (* (sqrt x) -4))))
1.0ms	x	@	-inf	(/ (+ (* 6 x) -6) (+ x (- 1 (* (sqrt x) -4))))
1.0ms	x	@	inf	(/ (+ (* 6 x) -6) (+ x (- 1 (* (sqrt x) -4))))
1.0ms	x	@	0	(+ x (- 1 (* (sqrt x) -4)))
0.0ms	x	@	inf	(+ x (- 1 (* (sqrt x) -4)))

rewrite336.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

5122×	`-lowering-.f32`
5122×	`-lowering-.f64`
3920×	`/-lowering-/.f32`
3920×	`/-lowering-/.f64`
1550×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	30
1	74	28
2	624	28
0	8626	28

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 322

Calls

Call 1

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

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

simplify268.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

2620×	`-lowering-.f32`
2620×	`-lowering-.f64`
2028×	`sum3-define`
1986×	`sum4-define`
1768×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	139	859
1	438	773
2	1498	693
3	5276	693
0	8256	693

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

eval44.0ms (0.4%)

Compiler: Compiled 11694 to 1067 computations (90.9% saved)

prune77.0ms (0.7%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	369	13	382
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	369	14	383

Accuracy

100.0%

Counts

383 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.4%	(/.f64 (/.f64 (+.f64 (.f64 #s(literal 36 binary64) (.f64 x x)) #s(literal -36 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 x (.f64 (sqrt.f64 x) #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal 6 binary64) x) #s(literal 6 binary64)))
	99.3%	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (.f64 (sqrt.f64 x) #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))))
▶	73.6%	(/.f64 (+.f64 (.f64 #s(literal 36 binary64) (.f64 x x)) #s(literal -36 binary64)) (.f64 (+.f64 (.f64 x #s(literal -6 binary64)) #s(literal -6 binary64)) (+.f64 #s(literal -1 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x))))
✓	99.4%	(/.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)))))
	47.4%	(/.f64 (+.f64 (.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal 4 binary64))))
▶	99.4%	(/.f64 (+.f64 (.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.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))))))
▶	54.2%	(/.f64 (.f64 x #s(literal 6 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
	54.5%	(/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))))
▶	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))))
	99.2%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))) (+.f64 #s(literal -1 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x))))
	44.8%	(/.f64 #s(literal -6 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
▶	44.5%	(/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
	74.4%	(.f64 (/.f64 (+.f64 (.f64 #s(literal 6 binary64) 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 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
	99.3%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (.f64 (sqrt.f64 x) #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)))

Compiler

Compiled 457 to 348 computations (23.9% saved)

simplify361.0ms (3.5%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 #s(literal 36 binary64) (.f64 x x))
✓	cost-diff	0	(+.f64 (.f64 #s(literal 36 binary64) (.f64 x x)) #s(literal -36 binary64))
✓	cost-diff	0	(/.f64 (+.f64 (.f64 #s(literal 36 binary64) (.f64 x x)) #s(literal -36 binary64)) (.f64 (+.f64 (.f64 x #s(literal -6 binary64)) #s(literal -6 binary64)) (+.f64 #s(literal -1 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x))))
✓	cost-diff	0	(+.f64 x (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
✓	cost-diff	0	(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
✓	cost-diff	0	(*.f64 x #s(literal 6 binary64))
✓	cost-diff	0	(/.f64 (.f64 x #s(literal 6 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(*.f64 (sqrt.f64 x) #s(literal 4 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))
✓	cost-diff	0	(/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
✓	cost-diff	0	(+.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)))))
✓	cost-diff	0	(*.f64 #s(literal 6 binary64) x)
✓	cost-diff	0	(+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))
✓	cost-diff	0	(/.f64 (+.f64 (.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.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))))))

Rules

2192×	`+-lowering-+.f64`
2192×	`+-lowering-+.f32`
2116×	`-lowering-.f32`
2116×	`-lowering-.f64`
1680×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	263
1	101	248
2	240	247
3	744	247
4	2732	247
5	6973	247
0	8179	247

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (+ (* 6 x) -6) (+ 1 (* x (+ 1 (* (sqrt (/ 1 x)) 4)))))
(+ (* 6 x) -6)
(* 6 x)
6
x
-6
(+ 1 (* x (+ 1 (* (sqrt (/ 1 x)) 4))))
1
(* x (+ 1 (* (sqrt (/ 1 x)) 4)))
(+ 1 (* (sqrt (/ 1 x)) 4))
(* (sqrt (/ 1 x)) 4)
(sqrt (/ 1 x))
(/ 1 x)
4
(/ -6 (+ 1 (* (sqrt x) 4)))
-6
(+ 1 (* (sqrt x) 4))
1
(* (sqrt x) 4)
(sqrt x)
x
4
(/ (* x 6) (+ x (- 1 (* (sqrt x) -4))))
(* x 6)
x
6
(+ x (- 1 (* (sqrt x) -4)))
(- 1 (* (sqrt x) -4))
1
(* (sqrt x) -4)
(sqrt x)
-4
(/ 1 (/ (+ 1 (+ x (* (sqrt x) 4))) (+ (* 6 x) -6)))
1
(/ (+ 1 (+ x (* (sqrt x) 4))) (+ (* 6 x) -6))
(+ 1 (+ x (* (sqrt x) 4)))
(+ x (* (sqrt x) 4))
x
(* (sqrt x) 4)
(sqrt x)
4
(+ (* 6 x) -6)
(* 6 x)
6
-6
(/ (+ (* 36 (* x x)) -36) (* (+ (* x -6) -6) (+ -1 (- (* (sqrt x) -4) x))))
(+ (* 36 (* x x)) -36)
(* 36 (* x x))
36
(* x x)
x
-36
(* (+ (* x -6) -6) (+ -1 (- (* (sqrt x) -4) x)))
(+ (* x -6) -6)
(* x -6)
-6
(+ -1 (- (* (sqrt x) -4) x))
-1
(- (* (sqrt x) -4) x)
(* (sqrt x) -4)
(sqrt x)
-4

Outputs
(/ (+ (* 6 x) -6) (+ 1 (* x (+ 1 (* (sqrt (/ 1 x)) 4)))))
(/.f64 (-.f64 #s(literal -6 binary64) (.f64 x #s(literal -6 binary64))) (+.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))))))
(+ (* 6 x) -6)
(-.f64 #s(literal -6 binary64) (*.f64 x #s(literal -6 binary64)))
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
6
#s(literal 6 binary64)
x
-6
#s(literal -6 binary64)
(+ 1 (* x (+ 1 (* (sqrt (/ 1 x)) 4))))
(+.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
#s(literal 1 binary64)
(* x (+ 1 (* (sqrt (/ 1 x)) 4)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))))
(+ 1 (* (sqrt (/ 1 x)) 4))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))
(* (sqrt (/ 1 x)) 4)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
4
#s(literal 4 binary64)
(/ -6 (+ 1 (* (sqrt x) 4)))
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
-6
#s(literal -6 binary64)
(+ 1 (* (sqrt x) 4))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
1
#s(literal 1 binary64)
(* (sqrt x) 4)
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
(sqrt x)
(sqrt.f64 x)
x
4
#s(literal 4 binary64)
(/ (* x 6) (+ x (- 1 (* (sqrt x) -4))))
(/.f64 (.f64 x #s(literal -6 binary64)) (+.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) x)))
(* x 6)
(*.f64 #s(literal 6 binary64) x)
x
6
#s(literal 6 binary64)
(+ x (- 1 (* (sqrt x) -4)))
(+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(- 1 (* (sqrt x) -4))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
1
#s(literal 1 binary64)
(* (sqrt x) -4)
(*.f64 (sqrt.f64 x) #s(literal -4 binary64))
(sqrt x)
(sqrt.f64 x)
-4
#s(literal -4 binary64)
(/ 1 (/ (+ 1 (+ x (* (sqrt x) 4))) (+ (* 6 x) -6)))
(/.f64 (-.f64 #s(literal -6 binary64) (.f64 x #s(literal -6 binary64))) (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
1
#s(literal 1 binary64)
(/ (+ 1 (+ x (* (sqrt x) 4))) (+ (* 6 x) -6))
(/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (-.f64 #s(literal -6 binary64) (.f64 x #s(literal -6 binary64))))
(+ 1 (+ x (* (sqrt x) 4)))
(+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(+ x (* (sqrt x) 4))
(+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
x
(* (sqrt x) 4)
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
(sqrt x)
(sqrt.f64 x)
4
#s(literal 4 binary64)
(+ (* 6 x) -6)
(-.f64 #s(literal -6 binary64) (*.f64 x #s(literal -6 binary64)))
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
6
#s(literal 6 binary64)
-6
#s(literal -6 binary64)
(/ (+ (* 36 (* x x)) -36) (* (+ (* x -6) -6) (+ -1 (- (* (sqrt x) -4) x))))
(/.f64 (+.f64 (.f64 x (.f64 x #s(literal 36 binary64))) #s(literal -36 binary64)) (.f64 (+.f64 #s(literal -6 binary64) (.f64 x #s(literal -6 binary64))) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) x))))
(+ (* 36 (* x x)) -36)
(+.f64 (.f64 x (.f64 x #s(literal 36 binary64))) #s(literal -36 binary64))
(* 36 (* x x))
(.f64 x (.f64 x #s(literal 36 binary64)))
36
#s(literal 36 binary64)
(* x x)
(*.f64 x x)
x
-36
#s(literal -36 binary64)
(* (+ (* x -6) -6) (+ -1 (- (* (sqrt x) -4) x)))
(.f64 (+.f64 #s(literal -6 binary64) (.f64 x #s(literal -6 binary64))) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) x)))
(+ (* x -6) -6)
(+.f64 #s(literal -6 binary64) (*.f64 x #s(literal -6 binary64)))
(* x -6)
(*.f64 x #s(literal -6 binary64))
-6
#s(literal -6 binary64)
(+ -1 (- (* (sqrt x) -4) x))
(+.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) x))
-1
#s(literal -1 binary64)
(- (* (sqrt x) -4) x)
(-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)
(* (sqrt x) -4)
(*.f64 (sqrt.f64 x) #s(literal -4 binary64))
(sqrt x)
(sqrt.f64 x)
-4
#s(literal -4 binary64)

localize218.0ms (2.1%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(+.f64 (*.f64 x #s(literal -6 binary64)) #s(literal -6 binary64))
✓	accuracy	99.8%	(.f64 (+.f64 (.f64 x #s(literal -6 binary64)) #s(literal -6 binary64)) (+.f64 #s(literal -1 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)))
✓	accuracy	99.7%	(.f64 #s(literal 36 binary64) (.f64 x x))
✓	accuracy	74.5%	(/.f64 (+.f64 (.f64 #s(literal 36 binary64) (.f64 x x)) #s(literal -36 binary64)) (.f64 (+.f64 (.f64 x #s(literal -6 binary64)) #s(literal -6 binary64)) (+.f64 #s(literal -1 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x))))
✓	accuracy	100.0%	(+.f64 x (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))))
✓	accuracy	99.9%	(+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))
✓	accuracy	99.2%	(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)))
✓	accuracy	100.0%	(*.f64 (sqrt.f64 x) #s(literal -4 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 6 binary64))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.3%	(/.f64 (.f64 x #s(literal 6 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))
✓	accuracy	100.0%	(*.f64 (sqrt.f64 x) #s(literal 4 binary64))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.7%	(/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
✓	accuracy	99.9%	(+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))
✓	accuracy	99.8%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))))
✓	accuracy	99.8%	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.4%	(/.f64 (+.f64 (.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.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))))))

Results

94.0ms	210×	0	valid
31.0ms	32×	1	valid
19.0ms	14×	2	valid

Compiler

Compiled 287 to 41 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

ival-div: 28.0ms (34.7% of total)

ival-mult: 21.0ms (26% of total)

ival-add: 15.0ms (18.6% of total)

backward-pass: 8.0ms (9.9% of total)

ival-sqrt: 5.0ms (6.2% of total)

ival-sub: 3.0ms (3.7% of total)

const: 2.0ms (2.5% of total)

series77.0ms (0.7%)

Counts

25 → 300

Calls

Call 1

Inputs
#<alt (/ (+ (* 6 x) -6) (+ 1 (* x (+ 1 (* (sqrt (/ 1 x)) 4)))))>
#<alt (+ (* 6 x) -6)>
#<alt (* 6 x)>
#<alt (+ 1 (* x (+ 1 (* (sqrt (/ 1 x)) 4))))>
#<alt (/ -6 (+ 1 (* (sqrt x) 4)))>
#<alt (+ 1 (* (sqrt x) 4))>
#<alt (* (sqrt x) 4)>
#<alt (sqrt x)>
#<alt (/ (* x 6) (+ x (- 1 (* (sqrt x) -4))))>
#<alt (* x 6)>
#<alt (+ x (- 1 (* (sqrt x) -4)))>
#<alt (- 1 (* (sqrt x) -4))>
#<alt (/ 1 (/ (+ 1 (+ x (* (sqrt x) 4))) (+ (* 6 x) -6)))>
#<alt (/ (+ 1 (+ x (* (sqrt x) 4))) (+ (* 6 x) -6))>
#<alt (+ 1 (+ x (* (sqrt x) 4)))>
#<alt (+ x (* (sqrt x) 4))>
#<alt (/ (+ (* 36 (* x x)) -36) (* (+ (* x -6) -6) (+ -1 (- (* (sqrt x) -4) x))))>
#<alt (+ (* 36 (* x x)) -36)>
#<alt (* 36 (* x x))>
#<alt (* x x)>
#<alt (sqrt (/ 1 x))>
#<alt (* x (+ 1 (* (sqrt (/ 1 x)) 4)))>
#<alt (* (sqrt x) -4)>
#<alt (* (+ (* x -6) -6) (+ -1 (- (* (sqrt x) -4) x)))>
#<alt (+ (* x -6) -6)>

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

Calls

75 calls:

Time	Variable		Point	Expression
29.0ms	x	@	0	(/ -6 (+ 1 (* (sqrt x) 4)))
20.0ms	x	@	0	(+ (* x -6) -6)
3.0ms	x	@	inf	(* (+ (* x -6) -6) (+ -1 (- (* (sqrt x) -4) x)))
2.0ms	x	@	inf	(/ -6 (+ 1 (* (sqrt x) 4)))
2.0ms	x	@	0	(/ (+ (* 36 (* x x)) -36) (* (+ (* x -6) -6) (+ -1 (- (* (sqrt x) -4) x))))

rewrite627.0ms (6.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2704×	`fma-lowering-fma.f32`
2704×	`fma-lowering-fma.f64`
2260×	`-lowering-.f32`
2260×	`-lowering-.f64`
1644×	`prod-diff`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	194
1	286	164
2	2846	159
0	8617	159

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 759

Calls

Call 1

Inputs
(/ (+ (* 6 x) -6) (+ 1 (* x (+ 1 (* (sqrt (/ 1 x)) 4)))))
(+ (* 6 x) -6)
(* 6 x)
(+ 1 (* x (+ 1 (* (sqrt (/ 1 x)) 4))))
(/ -6 (+ 1 (* (sqrt x) 4)))
(+ 1 (* (sqrt x) 4))
(* (sqrt x) 4)
(sqrt x)
(/ (* x 6) (+ x (- 1 (* (sqrt x) -4))))
(* x 6)
(+ x (- 1 (* (sqrt x) -4)))
(- 1 (* (sqrt x) -4))
(/ 1 (/ (+ 1 (+ x (* (sqrt x) 4))) (+ (* 6 x) -6)))
(/ (+ 1 (+ x (* (sqrt x) 4))) (+ (* 6 x) -6))
(+ 1 (+ x (* (sqrt x) 4)))
(+ x (* (sqrt x) 4))
(/ (+ (* 36 (* x x)) -36) (* (+ (* x -6) -6) (+ -1 (- (* (sqrt x) -4) x))))
(+ (* 36 (* x x)) -36)
(* 36 (* x x))
(* x x)
(sqrt (/ 1 x))
(* x (+ 1 (* (sqrt (/ 1 x)) 4)))
(* (sqrt x) -4)
(* (+ (* x -6) -6) (+ -1 (- (* (sqrt x) -4) x)))
(+ (* x -6) -6)

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

simplify351.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

3402×	`-lowering-.f32`
3402×	`-lowering-.f64`
2518×	`+-lowering-+.f64`
2518×	`+-lowering-+.f32`
1982×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	551	5030
1	1936	4112
2	6969	4106
0	8431	4106

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

Calls

Call 1

Inputs
(/ -6 (+ 1 (* 4 (sqrt x))))
(- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* -1 (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))))) (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* x (- (/ (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (+ 1 (* 4 (sqrt x)))) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
(+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))
(- (+ (* 6 (/ 1 (* (pow x 2) (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)))))))) (+ (/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))))
(- (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4)))) (pow x 3))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))))
(/ 6 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3)))) x)) (+ (* 6 (/ 1 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))) (* 6 (/ 1 (pow (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 4)))) x)) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))))) x)) (+ (* 6 (/ 1 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
-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)))
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 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))))
(* x (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (- (* -1 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 x))))
(* -1 (* x (- (* -1 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 x))))
(* -1 (* x (- (* -1 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 x))))
(/ -6 (+ 1 (* 4 (sqrt x))))
(/ -6 (+ 1 (* 4 (sqrt x))))
(/ -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)))
(* -1 (/ (+ (* -3/2 (sqrt x)) (* 3/8 (/ 1 (pow (sqrt -1) 2)))) x))
(* -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))
(+ 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))))
(* 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)))
(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)))
(* 6 (/ x (- 1 (* -4 (sqrt x)))))
(* x (+ (* -6 (/ x (pow (- 1 (* -4 (sqrt x))) 2))) (* 6 (/ 1 (- 1 (* -4 (sqrt x)))))))
(* 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 (- (* 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 (- 1 (* -4 (sqrt (/ 1 x)))))
(- (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (* 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)))) (/ 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))))))) (+ (* 6 (/ 1 (* (pow x 3) (pow (- 1 (* -4 (sqrt (/ 1 x)))) 4)))) (/ 6 (* x (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))))
(/ 6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(- (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))))
(+ (* -1 (/ (- (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* 6 (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(+ (* -1 (/ (+ (* -1 (/ (- (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))) (* 6 (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 4))))) x)) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 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 (/ 1 x)) (* -4 (sqrt (/ 1 x)))))
(* x (- (+ 1 (/ 1 x)) (* -4 (sqrt (/ 1 x)))))
(* x (- (+ 1 (/ 1 x)) (* -4 (sqrt (/ 1 x)))))
(* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(- 1 (* -4 (sqrt x)))
(- 1 (* -4 (sqrt x)))
(- 1 (* -4 (sqrt x)))
(- 1 (* -4 (sqrt x)))
(* 4 (sqrt x))
(* x (- (/ 1 x) (* -4 (sqrt (/ 1 x)))))
(* x (- (/ 1 x) (* -4 (sqrt (/ 1 x)))))
(* x (- (/ 1 x) (* -4 (sqrt (/ 1 x)))))
(* -4 (* (sqrt x) (pow (sqrt -1) 2)))
(* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))
(* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))
(* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))
(/ -6 (+ 1 (* 4 (sqrt x))))
(- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* -1 (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))))) (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* x (- (/ (* x (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (+ 1 (* 4 (sqrt x)))) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
(+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))
(- (+ (* 6 (/ 1 (* (pow x 2) (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)))))))) (+ (/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))))
(- (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4)))) (pow x 3))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (/ 6 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(- (/ 6 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (+ (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))))
(- (* -1 (/ (- (+ (* -1 (- (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 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 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -1 (- (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (* -1 (/ (- (+ (* -1 (- (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))) (* 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 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4)))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(* -1/6 (+ 1 (* 4 (sqrt x))))
(+ (* -1 (* x (+ 1/6 (* 1/6 (+ 1 (* 4 (sqrt x))))))) (* -1/6 (+ 1 (* 4 (sqrt x)))))
(+ (* -1/6 (+ 1 (* 4 (sqrt x)))) (* x (- (* -1 (* x (+ 1/6 (* 1/6 (+ 1 (* 4 (sqrt x))))))) (+ 1/6 (* 1/6 (+ 1 (* 4 (sqrt x))))))))
(+ (* -1/6 (+ 1 (* 4 (sqrt x)))) (* x (- (* x (- (* -1 (* x (+ 1/6 (* 1/6 (+ 1 (* 4 (sqrt x))))))) (+ 1/6 (* 1/6 (+ 1 (* 4 (sqrt x))))))) (+ 1/6 (* 1/6 (+ 1 (* 4 (sqrt x))))))))
(* 1/6 (+ 1 (* 4 (sqrt (/ 1 x)))))
(- (+ (* 1/6 (+ 1 (* 4 (sqrt (/ 1 x))))) (* 1/6 (/ 1 x))) (* -1/6 (/ (+ 1 (* 4 (sqrt (/ 1 x)))) x)))
(- (+ (* 1/6 (+ 1 (* 4 (sqrt (/ 1 x))))) (+ (/ 1/6 (pow x 2)) (* 1/6 (/ 1 x)))) (+ (* -1/6 (/ (+ 1 (* 4 (sqrt (/ 1 x)))) x)) (* -1/6 (/ (+ 1 (* 4 (sqrt (/ 1 x)))) (pow x 2)))))
(- (+ (* 1/6 (+ 1 (* 4 (sqrt (/ 1 x))))) (+ (* 1/6 (/ 1 x)) (* 1/6 (/ 1 (pow x 3))))) (+ (* -1 (/ (- 1/6 (* -1/6 (+ 1 (* 4 (sqrt (/ 1 x)))))) (pow x 2))) (+ (* -1/6 (/ (+ 1 (* 4 (sqrt (/ 1 x)))) x)) (* -1/6 (/ (+ 1 (* 4 (sqrt (/ 1 x)))) (pow x 3))))))
(* -1/6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(- (+ (* -1/6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* 1/6 (/ 1 x))) (* 1/6 (/ (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x)))
(+ (* -1 (/ (- (+ (* -1 (- 1/6 (* 1/6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (* 1/6 (/ (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x))) (* 1/6 (/ 1 x))) x)) (* -1/6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(+ (* -1 (/ (+ (* -1 (- 1/6 (* 1/6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (* -1 (/ (- (+ (* -1 (- (* 1/6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) 1/6)) (* 1/6 (/ 1 x))) (* 1/6 (/ (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) x))) x))) x)) (* -1/6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 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)))))
(* 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)))
(/ 6 (- (* -4 (sqrt x)) 1))
(+ (* 6 (/ 1 (- (* -4 (sqrt x)) 1))) (/ (* x (+ 6 (* -6 (- (* -4 (sqrt x)) 1)))) (pow (- (* -4 (sqrt x)) 1) 2)))
(+ (* x (- (* x (- (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (+ (* -1/6 (/ (pow (+ 6 (* -6 (- (* -4 (sqrt x)) 1))) 2) (pow (- (* -4 (sqrt x)) 1) 3))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))))) (* -1 (/ (+ 6 (* -6 (- (* -4 (sqrt x)) 1))) (pow (- (* -4 (sqrt x)) 1) 2))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))
(+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1 (/ (+ 6 (* -6 (- (* -4 (sqrt x)) 1))) (pow (- (* -4 (sqrt x)) 1) 3))) (* -1/6 (/ (* (+ 6 (* -6 (- (* -4 (sqrt x)) 1))) (- (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (+ (* -1/6 (/ (pow (+ 6 (* -6 (- (* -4 (sqrt x)) 1))) 2) (pow (- (* -4 (sqrt x)) 1) 3))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))))) (- (* -4 (sqrt x)) 1)))))) (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (+ (* -1/6 (/ (pow (+ 6 (* -6 (- (* -4 (sqrt x)) 1))) 2) (pow (- (* -4 (sqrt x)) 1) 3))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))))) (* -1 (/ (+ 6 (* -6 (- (* -4 (sqrt x)) 1))) (pow (- (* -4 (sqrt x)) 1) 2))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))
(/ -6 (- (* -4 (sqrt (/ 1 x))) 1))
(- (* -1 (/ (- (* 6 (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)))) x)) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))))
(- (+ (* -1 (/ (- (* 6 (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)))) x)) (* -1 (/ (- (* 6 (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (+ (* 1/6 (/ (* (- (* 6 (- (* -4 (sqrt (/ 1 x))) 1)) 6) (- (* 6 (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))))) (- (* -4 (sqrt (/ 1 x))) 1))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))))) (pow x 2)))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))))
(- (+ (* -1 (/ (- (* 6 (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)))) x)) (+ (* -1 (/ (- (* 6 (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)))) (* (pow x 3) (- (* -4 (sqrt (/ 1 x))) 1)))) (+ (* -1 (/ (- (* 6 (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (+ (* 1/6 (/ (* (- (* 6 (- (* -4 (sqrt (/ 1 x))) 1)) 6) (- (* 6 (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))))) (- (* -4 (sqrt (/ 1 x))) 1))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))))) (pow x 2))) (* 1/6 (/ (* (- (* 6 (- (* -4 (sqrt (/ 1 x))) 1)) 6) (- (* 6 (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (+ (* 1/6 (/ (* (- (* 6 (- (* -4 (sqrt (/ 1 x))) 1)) 6) (- (* 6 (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))))) (- (* -4 (sqrt (/ 1 x))) 1))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)))))) (* (pow x 3) (- (* -4 (sqrt (/ 1 x))) 1))))))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))))
(/ 6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(+ (* -1 (/ (+ (* 1/6 (/ (* (+ (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) (- (* -6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) 6)) (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (+ (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (+ (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (+ (/ 6 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (/ 6 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1/6 (/ (* (+ (* 1/6 (/ (* (+ (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) (- (* -6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) 6)) (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (+ (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) (- (* -6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) 6)) (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (+ (/ 6 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (/ 6 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))))) (+ (* 1/6 (/ (* (+ (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) (- (* -6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) 6)) (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (+ (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))))) x)) (+ (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
-36
(- (* 36 (pow x 2)) 36)
(- (* 36 (pow x 2)) 36)
(- (* 36 (pow x 2)) 36)
(* 36 (pow x 2))
(* (pow x 2) (- 36 (* 36 (/ 1 (pow x 2)))))
(* (pow x 2) (- 36 (* 36 (/ 1 (pow x 2)))))
(* (pow x 2) (- 36 (* 36 (/ 1 (pow x 2)))))
(* 36 (pow x 2))
(* (pow x 2) (- 36 (* 36 (/ 1 (pow x 2)))))
(* (pow x 2) (- 36 (* 36 (/ 1 (pow x 2)))))
(* (pow x 2) (- 36 (* 36 (/ 1 (pow x 2)))))
(* 36 (pow x 2))
(* 36 (pow x 2))
(* 36 (pow x 2))
(* 36 (pow x 2))
(* 36 (pow x 2))
(* 36 (pow x 2))
(* 36 (pow x 2))
(* 36 (pow x 2))
(* 36 (pow x 2))
(* 36 (pow x 2))
(* 36 (pow x 2))
(* 36 (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)
(pow x 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))
(* 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)))))
(* x (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* x (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* x (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* x (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -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 (- (* -4 (sqrt x)) 1))
(+ (* -6 (- (* -4 (sqrt x)) 1)) (* x (+ 6 (* -6 (- (* -4 (sqrt x)) 1)))))
(+ (* -6 (- (* -4 (sqrt x)) 1)) (* x (+ 6 (+ (* -6 (- (* -4 (sqrt x)) 1)) (* 6 x)))))
(+ (* -6 (- (* -4 (sqrt x)) 1)) (* x (+ 6 (+ (* -6 (- (* -4 (sqrt x)) 1)) (* 6 x)))))
(* -6 (* (pow x 2) (- (* -4 (sqrt (/ 1 x))) 1)))
(* (pow x 2) (+ (* -6 (- (* -4 (sqrt (/ 1 x))) 1)) (* -1 (/ (- (* 6 (- (* -4 (sqrt (/ 1 x))) 1)) 6) x))))
(* (pow x 2) (+ (* -6 (- (* -4 (sqrt (/ 1 x))) 1)) (+ (* -1 (/ (- (* 6 (- (* -4 (sqrt (/ 1 x))) 1)) 6) x)) (/ 6 (pow x 2)))))
(* (pow x 2) (+ (* -6 (- (* -4 (sqrt (/ 1 x))) 1)) (+ (* -1 (/ (- (* 6 (- (* -4 (sqrt (/ 1 x))) 1)) 6) x)) (/ 6 (pow x 2)))))
(* 6 (* (pow x 2) (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* (pow x 2) (+ (* -1 (/ (- (* -6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) 6) x)) (* 6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* (pow x 2) (+ (* -1 (/ (- (* -6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ 6 (* 6 (/ 1 x)))) x)) (* 6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* (pow x 2) (+ (* -1 (/ (- (* -6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ 6 (* 6 (/ 1 x)))) x)) (* 6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
-6
(- (* -6 x) 6)
(- (* -6 x) 6)
(- (* -6 x) 6)
(* -6 x)
(* -1 (* x (+ 6 (* 6 (/ 1 x)))))
(* -1 (* x (+ 6 (* 6 (/ 1 x)))))
(* -1 (* x (+ 6 (* 6 (/ 1 x)))))
(* -6 x)
(* -1 (* x (+ 6 (* 6 (/ 1 x)))))
(* -1 (* x (+ 6 (* 6 (/ 1 x)))))
(* -1 (* x (+ 6 (* 6 (/ 1 x)))))

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

eval182.0ms (1.8%)

Compiler: Compiled 27816 to 2446 computations (91.2% saved)

prune180.0ms (1.7%)

Pruning

24 alts after pruning (20 fresh and 4 done)

	Pruned	Kept	Total
New	1190	17	1207
Fresh	5	3	8
Picked	2	3	5
Done	0	1	1
Total	1197	24	1221

Accuracy

100.0%

Counts

1221 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))))
	4.3%	(/.f64 (+.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) #s(literal -3/8 binary64)) (neg.f64 x))
	46.0%	(/.f64 (+.f64 (.f64 #s(literal 36 binary64) (.f64 x x)) #s(literal -36 binary64)) (+.f64 (.f64 #s(literal -6 binary64) (.f64 (sqrt.f64 x) #s(literal -4 binary64))) #s(literal 6 binary64)))
✓	99.4%	(/.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)))))
▶	99.4%	(/.f64 (+.f64 (.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 x))) x)))
▶	47.4%	(/.f64 (+.f64 (.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal 4 binary64))))
▶	1.6%	(/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))) x)
✓	54.2%	(/.f64 (.f64 x #s(literal 6 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
	54.0%	(/.f64 (.f64 x #s(literal 6 binary64)) (+.f64 x (.f64 #s(literal 4 binary64) (sqrt.f64 x))))
▶	54.5%	(/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))))
✓	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))))
	54.5%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2/3 binary64))))
	44.5%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 x) #s(literal -2/3 binary64))))
	99.2%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))) (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))))
	44.8%	(/.f64 #s(literal -6 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
✓	44.5%	(/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
	4.2%	(/.f64 #s(literal -6 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
	45.8%	(/.f64 #s(literal -36 binary64) (.f64 (+.f64 (.f64 x #s(literal -6 binary64)) #s(literal -6 binary64)) (+.f64 #s(literal -1 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x))))
	54.6%	(.f64 (/.f64 #s(literal 6 binary64) (+.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))) x)
	99.3%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -6 binary64))))
	44.5%	(.f64 (/.f64 #s(literal -6 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))))
	4.4%	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))
▶	4.2%	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
	54.7%	(.f64 #s(literal 6 binary64) (/.f64 x (+.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))))

Compiler

Compiled 560 to 443 computations (20.9% saved)

simplify28.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))
✓	cost-diff	(*.f64 #s(literal 6 binary64) x)
✓	cost-diff	(+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))
✓	cost-diff	(/.f64 (+.f64 (.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal 4 binary64))))
✓	cost-diff	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))
✓	cost-diff	(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))
✓	cost-diff	(/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))))
✓	cost-diff	(sqrt.f64 x)
✓	cost-diff	(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))
✓	cost-diff	(+.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)))
✓	cost-diff	(/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))) x)
✓	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	(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 x))) x))
✓	cost-diff	(*.f64 #s(literal 6 binary64) x)
✓	cost-diff	(+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))
✓	cost-diff	(/.f64 (+.f64 (.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 x))) x)))

Rules

220×	`fma-define`
168×	`-lowering-.f32`
168×	`-lowering-.f64`
136×	`fma-lowering-fma.f32`
136×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	27	158
1	43	150
2	60	149
3	95	149
4	138	149
5	173	149
6	206	149
7	240	146
8	244	146
9	246	146
10	252	146
11	258	146
12	260	146
13	279	146
14	293	146
15	297	146
16	304	146
17	308	146
18	311	146
19	319	146
20	355	146
21	398	146
22	404	146
23	405	146
0	405	146

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize132.0ms (1.3%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 #s(literal 6 binary64) x)
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.9%	(+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))
✓	accuracy	99.3%	(/.f64 (+.f64 (.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal 4 binary64))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))
✓	accuracy	100.0%	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))
✓	accuracy	99.8%	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.7%	(/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	100.0%	(+.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)))
✓	accuracy	99.7%	(/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))) x)
✓	accuracy	99.5%	(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.8%	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.5%	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
✓	accuracy	99.9%	(+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))
✓	accuracy	99.8%	(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 x))) x)
✓	accuracy	99.6%	(/.f64 #s(literal 4 binary64) (sqrt.f64 x))
✓	accuracy	99.4%	(/.f64 (+.f64 (.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 x))) x)))

Results

78.0ms	241×	0	valid
5.0ms	9×	1	valid
5.0ms	6×	2	valid

Compiler

Compiled 172 to 28 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-mult: 16.0ms (36.3% of total)

ival-div: 11.0ms (24.9% of total)

ival-add: 8.0ms (18.1% of total)

ival-sqrt: 6.0ms (13.6% of total)

const: 1.0ms (2.3% of total)

backward-pass: 1.0ms (2.3% of total)

series15.0ms (0.1%)

Counts

18 → 216

Calls

Call 1

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

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

Calls

54 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/ (+ (* 6 x) -6) (+ 1 (* (+ 1 (/ 4 (sqrt x))) x)))
1.0ms	x	@	-inf	(/ (+ (* 6 x) -6) (+ 1 (* (sqrt x) 4)))
1.0ms	x	@	-inf	(+ 1 (* (+ 1 (/ 4 (sqrt x))) x))
1.0ms	x	@	-inf	(/ (+ 3/8 (* (sqrt x) -3/2)) x)
0.0ms	x	@	-inf	(/ 6 (+ 1 (* (sqrt (/ 1 x)) 4)))

rewrite322.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3718×	`/-lowering-/.f32`
3718×	`/-lowering-/.f64`
3238×	`-lowering-.f32`
3238×	`-lowering-.f64`
1766×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	109
1	163	96
2	1196	96
0	8514	96

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 551

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x))))) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (.f64 #s(literal 6 binary64) x) #s(literal -6 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 x (.f64 x #s(literal 36 binary64))) (+.f64 (.f64 #s(literal 6 binary64) x) #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x)))))) (/.f64 (/.f64 #s(literal 36 binary64) (+.f64 (.f64 #s(literal 6 binary64) x) #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x)))))))
(-.f64 (/.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 #s(literal 6 binary64) x) #s(literal -6 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x)))))))
(-.f64 (/.f64 (.f64 x (.f64 x #s(literal 36 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x))))) (+.f64 (.f64 #s(literal 6 binary64) x) #s(literal 6 binary64)))) (/.f64 #s(literal 36 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x))))) (+.f64 (.f64 #s(literal 6 binary64) x) #s(literal 6 binary64)))))
(neg.f64 (/.f64 (+.f64 (.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (-.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x)))))))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x))))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x))))) (+.f64 (.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)))))
(/.f64 (+.f64 (.f64 #s(literal 6 binary64) x) #s(literal -6 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 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x))))) (+.f64 (.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x))))) (+.f64 (.f64 x (.f64 x #s(literal 36 binary64))) (+.f64 #s(literal 36 binary64) (.f64 x #s(literal 36 binary64))))) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64)) #s(literal -216 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x))))) (+.f64 (.f64 #s(literal 6 binary64) x) #s(literal 6 binary64))) (+.f64 (.f64 x (*.f64 x #s(literal 36 binary64))) #s(literal -36 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 x (.f64 x #s(literal 36 binary64))) (+.f64 #s(literal 36 binary64) (.f64 x #s(literal 36 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x)))))) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64)) #s(literal -216 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 #s(literal 6 binary64) x) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x)))))) (+.f64 (.f64 x (*.f64 x #s(literal 36 binary64))) #s(literal -36 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 36 binary64))) (+.f64 #s(literal 36 binary64) (.f64 x #s(literal 36 binary64)))) (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64)) #s(literal -216 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 (+.f64 (.f64 #s(literal 6 binary64) x) #s(literal 6 binary64)) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 36 binary64))) #s(literal -36 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 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x))))) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -6 binary64)))))
(/.f64 (+.f64 #s(literal 6 binary64) (.f64 x #s(literal -6 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 x (.f64 x x)) #s(literal 216 binary64)) #s(literal -216 binary64)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 36 binary64))) (+.f64 #s(literal 36 binary64) (.f64 x #s(literal 36 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 x (.f64 x x)) #s(literal 216 binary64)) #s(literal -216 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x))))) (+.f64 (.f64 x (.f64 x #s(literal 36 binary64))) (+.f64 #s(literal 36 binary64) (.f64 x #s(literal 36 binary64))))))
(/.f64 (/.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 (.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))))
(/.f64 (+.f64 (.f64 x (.f64 x #s(literal 36 binary64))) #s(literal -36 binary64)) (.f64 (+.f64 (.f64 #s(literal 6 binary64) x) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x)))))))
(/.f64 (+.f64 (.f64 x (.f64 x #s(literal 36 binary64))) #s(literal -36 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x))))) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64))))
(/.f64 (+.f64 #s(literal 216 binary64) (neg.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64)))) (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x))))) (+.f64 (.f64 x (.f64 x #s(literal 36 binary64))) (+.f64 #s(literal 36 binary64) (.f64 x #s(literal 36 binary64)))))))
(/.f64 (+.f64 #s(literal 216 binary64) (neg.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64)))) (neg.f64 (.f64 (+.f64 (.f64 x (.f64 x #s(literal 36 binary64))) (+.f64 #s(literal 36 binary64) (.f64 x #s(literal 36 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x #s(literal 36 binary64))) #s(literal -36 binary64))) (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x))))) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x #s(literal 36 binary64))) #s(literal -36 binary64))) (neg.f64 (.f64 (+.f64 (.f64 #s(literal 6 binary64) x) #s(literal 6 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 (.f64 x x)) #s(literal 216 binary64)) #s(literal -216 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x)))))) (+.f64 (.f64 x (.f64 x #s(literal 36 binary64))) (+.f64 #s(literal 36 binary64) (*.f64 x #s(literal 36 binary64)))))
(/.f64 (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 36 binary64))) #s(literal -36 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x)))))) (+.f64 (.f64 #s(literal 6 binary64) x) #s(literal 6 binary64)))
(/.f64 (neg.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64)) #s(literal -216 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x))))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x #s(literal 36 binary64))) (+.f64 #s(literal 36 binary64) (*.f64 x #s(literal 36 binary64))))))
(/.f64 (neg.f64 (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 36 binary64))) #s(literal -36 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x))))))) (+.f64 (.f64 x #s(literal -6 binary64)) #s(literal -6 binary64)))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x))))) (+.f64 (.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))) #s(literal -1 binary64))
(.f64 (+.f64 (.f64 #s(literal 6 binary64) x) #s(literal -6 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 (+.f64 (.f64 #s(literal 6 binary64) x) #s(literal -6 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 (+.f64 (.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x)))))))
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(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64))))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (.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 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -4 binary64))))))
(/.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))))))
(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 (+.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 (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 #s(literal 1 binary64) (+.f64 (.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 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))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (.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 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))))
(.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))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x)))
(neg.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(/.f64 #s(literal 4 binary64) (sqrt.f64 x))
(/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 x) #s(literal -4 binary64)))
(/.f64 #s(literal -4 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(pow.f64 (/.f64 (sqrt.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 4 binary64))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x)))
(*.f64 #s(literal -4 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) #s(literal 4 binary64)) #s(literal -1/2 binary64)))
(+.f64 x (/.f64 x (/.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(+.f64 x (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) x))
(+.f64 (/.f64 x (/.f64 (sqrt.f64 x) #s(literal 4 binary64))) x)
(+.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) x) x)
(fma.f64 x #s(literal 1 binary64) (/.f64 x (/.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(fma.f64 x (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) x))
(fma.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) x x)
(/.f64 x (/.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 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) x)) (/.f64 #s(literal -4 binary64) (sqrt.f64 x))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 3/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -16 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) x)) (/.f64 #s(literal -4 binary64) (sqrt.f64 x))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 3/2 binary64)))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -16 binary64) x)) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 3/2 binary64))))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) x)) (/.f64 #s(literal -4 binary64) (sqrt.f64 x))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -16 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 3/2 binary64)))) x) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) x)) (/.f64 #s(literal -4 binary64) (sqrt.f64 x))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -16 binary64) x)) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x))))
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 3/2 binary64)))))) (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) x)) (/.f64 #s(literal -4 binary64) (sqrt.f64 x)))))
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -16 binary64) x)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 3/2 binary64)))) x)) (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) x)) (/.f64 #s(literal -4 binary64) (sqrt.f64 x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -16 binary64) x)) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (pow.f64 (/.f64 x (/.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 x x) (-.f64 (.f64 (/.f64 x (/.f64 (sqrt.f64 x) #s(literal 4 binary64))) (/.f64 x (/.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (*.f64 x (/.f64 x (/.f64 (sqrt.f64 x) #s(literal 4 binary64)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 x (/.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64)) (.f64 x (.f64 x x))) (+.f64 (.f64 (/.f64 x (/.f64 (sqrt.f64 x) #s(literal 4 binary64))) (/.f64 x (/.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (-.f64 (.f64 x x) (*.f64 (/.f64 x (/.f64 (sqrt.f64 x) #s(literal 4 binary64))) x))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (pow.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) x) #s(literal 3 binary64))) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) x) (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)) (.f64 x (*.f64 (/.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)) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) x) (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)) (-.f64 (.f64 x x) (.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) x) x))))
(/.f64 (-.f64 (.f64 x x) (.f64 (/.f64 x (/.f64 (sqrt.f64 x) #s(literal 4 binary64))) (/.f64 x (/.f64 (sqrt.f64 x) #s(literal 4 binary64))))) (-.f64 x (/.f64 x (/.f64 (sqrt.f64 x) #s(literal 4 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 x (/.f64 (sqrt.f64 x) #s(literal 4 binary64))) (/.f64 x (/.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (.f64 x x)) (-.f64 (/.f64 x (/.f64 (sqrt.f64 x) #s(literal 4 binary64))) x))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) x) (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) x))) (-.f64 x (*.f64 (/.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)) (.f64 x x)) (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) x) x))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x))))
(.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x)))))
(.f64 (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x)))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x))) x)
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 3/2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) x)) (/.f64 #s(literal -4 binary64) (sqrt.f64 x)))))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -16 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x)))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 3/2 binary64)))) x) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) x)) (/.f64 #s(literal -4 binary64) (sqrt.f64 x)))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -16 binary64) x)) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x)))))

simplify392.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

5366×	`-lowering-.f32`
5366×	`-lowering-.f64`
2620×	`+-lowering-+.f64`
2620×	`+-lowering-+.f32`
1364×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	217	2035
1	702	1757
2	2332	1688
0	8301	1688

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

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

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

eval135.0ms (1.3%)

Compiler: Compiled 17529 to 2042 computations (88.4% saved)

prune116.0ms (1.1%)

Pruning

28 alts after pruning (21 fresh and 7 done)

	Pruned	Kept	Total
New	951	10	961
Fresh	4	11	15
Picked	2	3	5
Done	0	4	4
Total	957	28	985

Accuracy

100.0%

Counts

985 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))))
	46.0%	(/.f64 (+.f64 (.f64 #s(literal 36 binary64) (.f64 x x)) #s(literal -36 binary64)) (+.f64 (.f64 #s(literal -6 binary64) (.f64 (sqrt.f64 x) #s(literal -4 binary64))) #s(literal 6 binary64)))
✓	99.4%	(/.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)))))
✓	99.4%	(/.f64 (+.f64 (.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 x))) x)))
✓	1.6%	(/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))) x)
▶	4.2%	(/.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) x)
✓	54.2%	(/.f64 (.f64 x #s(literal 6 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
	54.0%	(/.f64 (.f64 x #s(literal 6 binary64)) (+.f64 x (.f64 #s(literal 4 binary64) (sqrt.f64 x))))
▶	54.5%	(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) x))
	54.5%	(/.f64 #s(literal 6 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x))))
	54.5%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x))) #s(literal 6 binary64)))
✓	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))))
	4.2%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal -3/2 binary64)))
	44.5%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 x) #s(literal -2/3 binary64))))
	99.2%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))) (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))))
	4.2%	(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
	44.8%	(/.f64 #s(literal -6 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
✓	44.5%	(/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
	45.8%	(/.f64 #s(literal -36 binary64) (.f64 (+.f64 (.f64 x #s(literal -6 binary64)) #s(literal -6 binary64)) (+.f64 #s(literal -1 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x))))
	4.2%	(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -3/2 binary64))
	54.6%	(.f64 (/.f64 #s(literal 6 binary64) (+.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))) x)
	47.4%	(.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 #s(literal -1 binary64) x))
▶	99.3%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -6 binary64))))
	4.2%	(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -3/2 binary64))
▶	44.5%	(.f64 (/.f64 #s(literal -6 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))))
✓	4.2%	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
▶	4.7%	(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
	54.7%	(.f64 #s(literal 6 binary64) (/.f64 x (+.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))))

Compiler

Compiled 571 to 451 computations (21% saved)

simplify258.0ms (2.5%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x #s(literal 16 binary64))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64)))
✓	cost-diff	0	(/.f64 #s(literal -6 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64))))
✓	cost-diff	128	(.f64 (/.f64 #s(literal -6 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))))
✓	cost-diff	0	(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
✓	cost-diff	0	(+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
✓	cost-diff	0	(/.f64 (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) x)
✓	cost-diff	0	(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) x))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))
✓	cost-diff	0	(/.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) x)
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
✓	cost-diff	0	(*.f64 (sqrt.f64 x) #s(literal -4 binary64))
✓	cost-diff	0	(-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) (+.f64 x #s(literal 1 binary64))))
✓	cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -6 binary64))))

Rules

1934×	`fnmadd-define`
1582×	`-lowering-.f32`
1582×	`-lowering-.f64`
1304×	`fmsub-define`
1220×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	29	152
1	73	146
2	164	140
3	380	139
4	859	139
5	1569	139
6	3773	139
0	8230	139

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

Outputs
(* (/ 1 (- (* (sqrt x) -4) (+ x 1))) (+ 6 (* x -6)))
(/.f64 (-.f64 #s(literal 6 binary64) (.f64 x #s(literal 6 binary64))) (+.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) x)))
(/ 1 (- (* (sqrt x) -4) (+ x 1)))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) x)))
1
#s(literal 1 binary64)
(- (* (sqrt x) -4) (+ x 1))
(+.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) x))
(* (sqrt x) -4)
(*.f64 (sqrt.f64 x) #s(literal -4 binary64))
(sqrt x)
(sqrt.f64 x)
x
-4
#s(literal -4 binary64)
(+ x 1)
(+.f64 #s(literal 1 binary64) x)
(+ 6 (* x -6))
(-.f64 #s(literal 6 binary64) (*.f64 x #s(literal 6 binary64)))
6
#s(literal 6 binary64)
(* x -6)
(*.f64 x #s(literal -6 binary64))
-6
#s(literal -6 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)
(/ (* (sqrt x) -3/2) x)
(/.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) x)
(* (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 (/ (+ x (* 4 (sqrt x))) x))
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (sqrt.f64 x) x))))
6
#s(literal 6 binary64)
(/ (+ x (* 4 (sqrt x))) x)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (sqrt.f64 x) x)))
(+ x (* 4 (sqrt x)))
(+.f64 x (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))
x
(* 4 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 4 binary64))
4
#s(literal 4 binary64)
(sqrt x)
(sqrt.f64 x)
(* (/ -6 (- 1 (* x 16))) (- 1 (* 4 (sqrt x))))
(/.f64 (+.f64 #s(literal -6 binary64) (.f64 (sqrt.f64 x) #s(literal 24 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -16 binary64))))
(/ -6 (- 1 (* x 16)))
(/.f64 #s(literal 6 binary64) (+.f64 (*.f64 x #s(literal 16 binary64)) #s(literal -1 binary64)))
-6
#s(literal -6 binary64)
(- 1 (* x 16))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -16 binary64)))
1
#s(literal 1 binary64)
(* x 16)
(*.f64 x #s(literal 16 binary64))
x
16
#s(literal 16 binary64)
(- 1 (* 4 (sqrt x)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
(* 4 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 4 binary64))
4
#s(literal 4 binary64)
(sqrt x)
(sqrt.f64 x)

localize145.0ms (1.4%)

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 #s(literal -6 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))))
✓	accuracy	99.7%	(/.f64 #s(literal -6 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64))))
✓	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 (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) x)
✓	accuracy	99.7%	(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) x))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.6%	(/.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) x)
✓	accuracy	99.5%	(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.5%	(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
✓	accuracy	100.0%	(-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) (+.f64 x #s(literal 1 binary64)))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) (+.f64 x #s(literal 1 binary64))))
✓	accuracy	99.9%	(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -6 binary64)))
✓	accuracy	99.3%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -6 binary64))))

Results

73.0ms	241×	0	valid
6.0ms	6×	2	valid
5.0ms	9×	1	valid

Compiler

Compiled 159 to 30 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-mult: 15.0ms (33.1% of total)

ival-add: 10.0ms (22.1% of total)

ival-div: 9.0ms (19.9% of total)

ival-sub: 4.0ms (8.8% of total)

ival-sqrt: 4.0ms (8.8% of total)

const: 1.0ms (2.2% of total)

backward-pass: 1.0ms (2.2% of total)

series15.0ms (0.1%)

Counts

17 → 204

Calls

Call 1

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

Outputs
#<alt (/ 6 (- (* -4 (sqrt x)) 1))>
#<alt (+ (* x (- (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))>
#<alt (+ (* x (- (+ (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (/ (* x (- (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))) (- (* -4 (sqrt x)) 1))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))>
#<alt (+ (* x (- (+ (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (* x (- (/ (* x (- (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))) (pow (- (* -4 (sqrt x)) 1) 2)) (* -1 (/ (- (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))) (- (* -4 (sqrt x)) 1)))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))>
#<alt (/ -6 (- (* -4 (sqrt (/ 1 x))) 1))>
#<alt (- (/ 6 (* x (- (* -4 (sqrt (/ 1 x))) 1))) (+ (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) (/ 6 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)))))>
#<alt (- (+ (* 6 (/ 1 (* (pow x 2) (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)))) (/ 6 (* x (- (* -4 (sqrt (/ 1 x))) 1)))) (+ (* 6 (/ 1 (* (pow x 2) (pow (- (* -4 (sqrt (/ 1 x))) 1) 3)))) (+ (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) (/ 6 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))))))>
#<alt (- (+ (/ 6 (* x (- (* -4 (sqrt (/ 1 x))) 1))) (/ 6 (* (pow x 3) (pow (- (* -4 (sqrt (/ 1 x))) 1) 3)))) (+ (* -1 (/ (- (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) (* 6 (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)))) (* (pow x 2) (- (* -4 (sqrt (/ 1 x))) 1)))) (+ (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) (+ (/ 6 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (/ 6 (* (pow x 3) (pow (- (* -4 (sqrt (/ 1 x))) 1) 4)))))))>
#<alt (/ 6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (+ (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x)) (+ (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))>
#<alt (/ 1 (- (* -4 (sqrt x)) 1))>
#<alt (+ (/ 1 (- (* -4 (sqrt x)) 1)) (/ x (pow (- (* -4 (sqrt x)) 1) 2)))>
#<alt (+ (* x (+ (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ x (pow (- (* -4 (sqrt x)) 1) 3)))) (/ 1 (- (* -4 (sqrt x)) 1)))>
#<alt (+ (* x (+ (* x (+ (/ 1 (pow (- (* -4 (sqrt x)) 1) 3)) (/ x (pow (- (* -4 (sqrt x)) 1) 4)))) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (/ 1 (- (* -4 (sqrt x)) 1)))>
#<alt (/ 1 (* x (- (* -4 (sqrt (/ 1 x))) 1)))>
#<alt (/ (+ (/ 1 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) x)>
#<alt (/ (+ (/ 1 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (+ (/ 1 (* (pow x 2) (pow (- (* -4 (sqrt (/ 1 x))) 1) 3))) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)))) x)>
#<alt (/ (+ (/ 1 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (+ (/ 1 (* (pow x 2) (pow (- (* -4 (sqrt (/ 1 x))) 1) 3))) (+ (/ 1 (* (pow x 3) (pow (- (* -4 (sqrt (/ 1 x))) 1) 4))) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))))) x)>
#<alt (/ -1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (/ (- (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)) (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3)))) x)) (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3)) (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 4)))) x)) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x))>
#<alt (- (* -4 (sqrt x)) 1)>
#<alt (- (+ (* -4 (sqrt x)) (* -1 x)) 1)>
#<alt (- (+ (* -4 (sqrt x)) (* -1 x)) 1)>
#<alt (- (+ (* -4 (sqrt x)) (* -1 x)) 1)>
#<alt (* x (- (* -4 (sqrt (/ 1 x))) 1))>
#<alt (* x (- (* -4 (sqrt (/ 1 x))) (+ 1 (/ 1 x))))>
#<alt (* x (- (* -4 (sqrt (/ 1 x))) (+ 1 (/ 1 x))))>
#<alt (* x (- (* -4 (sqrt (/ 1 x))) (+ 1 (/ 1 x))))>
#<alt (* -1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (+ (* -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 (* 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)) (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 (* -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 (* 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 (- (* 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 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))>
#<alt (/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))>
#<alt (/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))>
#<alt (/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))>
#<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))) 1))>
#<alt (* -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))>
#<alt (* -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))>
#<alt (* -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 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 (* 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 (+ (* -96 (* x (- 1 (* 4 (sqrt x))))) (* -6 (- 1 (* 4 (sqrt x)))))>
#<alt (+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* -1536 (* x (- 1 (* 4 (sqrt x))))) (* -96 (- 1 (* 4 (sqrt x)))))))>
#<alt (+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* -96 (- 1 (* 4 (sqrt x)))) (* x (+ (* -24576 (* x (- 1 (* 4 (sqrt x))))) (* -1536 (- 1 (* 4 (sqrt x)))))))))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (+ (* -3/2 (sqrt (/ 1 x))) (* 6 (/ (+ 1/16 (* -1/64 (sqrt (/ 1 x)))) x)))>
#<alt (+ (* -3/2 (sqrt (/ 1 x))) (+ (* 3/8 (/ (+ 1/16 (* -1/64 (sqrt (/ 1 x)))) (pow x 2))) (* 6 (/ (+ 1/16 (* -1/64 (sqrt (/ 1 x)))) x))))>
#<alt (+ (* -3/2 (sqrt (/ 1 x))) (+ (* 3/128 (/ (+ 1/16 (* -1/64 (sqrt (/ 1 x)))) (pow x 3))) (+ (* 3/8 (/ (+ 1/16 (* -1/64 (sqrt (/ 1 x)))) (pow x 2))) (* 6 (/ (+ 1/16 (* -1/64 (sqrt (/ 1 x)))) x)))))>
#<alt (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (+ (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 6 (/ (- 1/16 (* -1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))>
#<alt (+ (* -1 (/ (+ (* -6 (- 1/16 (* -1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* -3/8 (/ (- 1/16 (* -1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* -6 (- 1/16 (* -1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* -1 (/ (+ (* 3/128 (/ (- 1/16 (* -1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 3/8 (- 1/16 (* -1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x))) x)) (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt -6>
#<alt (- (* -96 x) 6)>
#<alt (- (* x (- (* -1536 x) 96)) 6)>
#<alt (- (* x (- (* x (- (* -24576 x) 1536)) 96)) 6)>
#<alt (/ 3/8 x)>
#<alt (/ (+ 3/8 (* 3/128 (/ 1 x))) x)>
#<alt (/ (+ 3/8 (+ (/ 3/2048 (pow x 2)) (* 3/128 (/ 1 x)))) x)>
#<alt (/ (+ 3/8 (+ (/ 3/2048 (pow x 2)) (+ (* 3/128 (/ 1 x)) (* 3/32768 (/ 1 (pow x 3)))))) x)>
#<alt (/ 3/8 x)>
#<alt (/ (+ 3/8 (* 3/128 (/ 1 x))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 3/128 (* 3/2048 (/ 1 x))) x)) 3/8) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 3/128 (+ (/ 3/32768 (pow x 2)) (* 3/2048 (/ 1 x)))) x)) 3/8) x))>
#<alt 1>
#<alt (+ 1 (* -16 x))>
#<alt (+ 1 (* -16 x))>
#<alt (+ 1 (* -16 x))>
#<alt (* -16 x)>
#<alt (* x (- (/ 1 x) 16))>
#<alt (* x (- (/ 1 x) 16))>
#<alt (* x (- (/ 1 x) 16))>
#<alt (* -16 x)>
#<alt (* -1 (* x (- 16 (/ 1 x))))>
#<alt (* -1 (* x (- 16 (/ 1 x))))>
#<alt (* -1 (* x (- 16 (/ 1 x))))>
#<alt (* 16 x)>
#<alt (* 16 x)>
#<alt (* 16 x)>
#<alt (* 16 x)>
#<alt (* 16 x)>
#<alt (* 16 x)>
#<alt (* 16 x)>
#<alt (* 16 x)>
#<alt (* 16 x)>
#<alt (* 16 x)>
#<alt (* 16 x)>
#<alt (* 16 x)>
#<alt 6>
#<alt (+ 6 (* -6 x))>
#<alt (+ 6 (* -6 x))>
#<alt (+ 6 (* -6 x))>
#<alt (* -6 x)>
#<alt (* x (- (* 6 (/ 1 x)) 6))>
#<alt (* x (- (* 6 (/ 1 x)) 6))>
#<alt (* x (- (* 6 (/ 1 x)) 6))>
#<alt (* -6 x)>
#<alt (* -1 (* x (- 6 (* 6 (/ 1 x)))))>
#<alt (* -1 (* x (- 6 (* 6 (/ 1 x)))))>
#<alt (* -1 (* x (- 6 (* 6 (/ 1 x)))))>

Calls

51 calls:

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

rewrite382.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3914×	`/-lowering-/.f32`
3914×	`/-lowering-/.f64`
3096×	`-lowering-.f32`
3096×	`-lowering-.f64`
1860×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	111
1	175	105
2	1506	96
0	8832	96

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 688

Calls

Call 1

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

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

simplify337.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

4992×	`-lowering-.f32`
4992×	`-lowering-.f64`
3480×	`+-lowering-+.f64`
3480×	`+-lowering-+.f32`
1372×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	340	2285
1	1009	1972
2	3052	1872
0	8946	1872

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
(/ 6 (- (* -4 (sqrt x)) 1))
(+ (* x (- (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))
(+ (* x (- (+ (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (/ (* x (- (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))) (- (* -4 (sqrt x)) 1))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))
(+ (* x (- (+ (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (* x (- (/ (* x (- (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))) (pow (- (* -4 (sqrt x)) 1) 2)) (* -1 (/ (- (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))) (- (* -4 (sqrt x)) 1)))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))
(/ -6 (- (* -4 (sqrt (/ 1 x))) 1))
(- (/ 6 (* x (- (* -4 (sqrt (/ 1 x))) 1))) (+ (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) (/ 6 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)))))
(- (+ (* 6 (/ 1 (* (pow x 2) (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)))) (/ 6 (* x (- (* -4 (sqrt (/ 1 x))) 1)))) (+ (* 6 (/ 1 (* (pow x 2) (pow (- (* -4 (sqrt (/ 1 x))) 1) 3)))) (+ (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) (/ 6 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))))))
(- (+ (/ 6 (* x (- (* -4 (sqrt (/ 1 x))) 1))) (/ 6 (* (pow x 3) (pow (- (* -4 (sqrt (/ 1 x))) 1) 3)))) (+ (* -1 (/ (- (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) (* 6 (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)))) (* (pow x 2) (- (* -4 (sqrt (/ 1 x))) 1)))) (+ (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) (+ (/ 6 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (/ 6 (* (pow x 3) (pow (- (* -4 (sqrt (/ 1 x))) 1) 4)))))))
(/ 6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (+ (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(+ (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x)) (+ (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(/ 1 (- (* -4 (sqrt x)) 1))
(+ (/ 1 (- (* -4 (sqrt x)) 1)) (/ x (pow (- (* -4 (sqrt x)) 1) 2)))
(+ (* x (+ (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)) (/ x (pow (- (* -4 (sqrt x)) 1) 3)))) (/ 1 (- (* -4 (sqrt x)) 1)))
(+ (* x (+ (* x (+ (/ 1 (pow (- (* -4 (sqrt x)) 1) 3)) (/ x (pow (- (* -4 (sqrt x)) 1) 4)))) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (/ 1 (- (* -4 (sqrt x)) 1)))
(/ 1 (* x (- (* -4 (sqrt (/ 1 x))) 1)))
(/ (+ (/ 1 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) x)
(/ (+ (/ 1 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (+ (/ 1 (* (pow x 2) (pow (- (* -4 (sqrt (/ 1 x))) 1) 3))) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)))) x)
(/ (+ (/ 1 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (+ (/ 1 (* (pow x 2) (pow (- (* -4 (sqrt (/ 1 x))) 1) 3))) (+ (/ 1 (* (pow x 3) (pow (- (* -4 (sqrt (/ 1 x))) 1) 4))) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))))) x)
(/ -1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (/ (- (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) x))
(* -1 (/ (+ (* -1 (/ (- (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)) (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3)))) x)) (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3)) (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 4)))) x)) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x))
(- (* -4 (sqrt x)) 1)
(- (+ (* -4 (sqrt x)) (* -1 x)) 1)
(- (+ (* -4 (sqrt x)) (* -1 x)) 1)
(- (+ (* -4 (sqrt x)) (* -1 x)) 1)
(* x (- (* -4 (sqrt (/ 1 x))) 1))
(* x (- (* -4 (sqrt (/ 1 x))) (+ 1 (/ 1 x))))
(* x (- (* -4 (sqrt (/ 1 x))) (+ 1 (/ 1 x))))
(* x (- (* -4 (sqrt (/ 1 x))) (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))))
(* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))))
(* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 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)))
(* 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)) (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)))
(* -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)))
(* 3/2 (sqrt x))
(* x (- (* 3/2 (sqrt (/ 1 x))) 3/8))
(* x (+ (* 3/2 (sqrt (/ 1 x))) (* x (- (* 3/32 (sqrt (/ 1 x))) (* 3/8 (/ 1 x))))))
(* x (+ (* 3/2 (sqrt (/ 1 x))) (* x (- (* x (- (* 3/32 (sqrt (/ 1 (pow x 3)))) (* 3/128 (/ 1 x)))) (* 3/8 (/ 1 x))))))
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(* 4 (sqrt (/ 1 x)))
(/ (+ x (* 4 (sqrt x))) x)
(/ (+ x (* 4 (sqrt x))) x)
(/ (+ x (* 4 (sqrt x))) x)
(+ 1 (* 4 (sqrt (/ 1 x))))
(+ 1 (* 4 (sqrt (/ 1 x))))
(+ 1 (* 4 (sqrt (/ 1 x))))
(+ 1 (* 4 (sqrt (/ 1 x))))
(* -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(* -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(* -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(* -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 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)))
(* 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))))
(+ (* -96 (* x (- 1 (* 4 (sqrt x))))) (* -6 (- 1 (* 4 (sqrt x)))))
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* -1536 (* x (- 1 (* 4 (sqrt x))))) (* -96 (- 1 (* 4 (sqrt x)))))))
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* -96 (- 1 (* 4 (sqrt x)))) (* x (+ (* -24576 (* x (- 1 (* 4 (sqrt x))))) (* -1536 (- 1 (* 4 (sqrt x)))))))))
(* -3/2 (sqrt (/ 1 x)))
(+ (* -3/2 (sqrt (/ 1 x))) (* 6 (/ (+ 1/16 (* -1/64 (sqrt (/ 1 x)))) x)))
(+ (* -3/2 (sqrt (/ 1 x))) (+ (* 3/8 (/ (+ 1/16 (* -1/64 (sqrt (/ 1 x)))) (pow x 2))) (* 6 (/ (+ 1/16 (* -1/64 (sqrt (/ 1 x)))) x))))
(+ (* -3/2 (sqrt (/ 1 x))) (+ (* 3/128 (/ (+ 1/16 (* -1/64 (sqrt (/ 1 x)))) (pow x 3))) (+ (* 3/8 (/ (+ 1/16 (* -1/64 (sqrt (/ 1 x)))) (pow x 2))) (* 6 (/ (+ 1/16 (* -1/64 (sqrt (/ 1 x)))) x)))))
(* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 6 (/ (- 1/16 (* -1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))
(+ (* -1 (/ (+ (* -6 (- 1/16 (* -1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* -3/8 (/ (- 1/16 (* -1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -6 (- 1/16 (* -1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* -1 (/ (+ (* 3/128 (/ (- 1/16 (* -1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 3/8 (- 1/16 (* -1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x))) x)) (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
-6
(- (* -96 x) 6)
(- (* x (- (* -1536 x) 96)) 6)
(- (* x (- (* x (- (* -24576 x) 1536)) 96)) 6)
(/ 3/8 x)
(/ (+ 3/8 (* 3/128 (/ 1 x))) x)
(/ (+ 3/8 (+ (/ 3/2048 (pow x 2)) (* 3/128 (/ 1 x)))) x)
(/ (+ 3/8 (+ (/ 3/2048 (pow x 2)) (+ (* 3/128 (/ 1 x)) (* 3/32768 (/ 1 (pow x 3)))))) x)
(/ 3/8 x)
(/ (+ 3/8 (* 3/128 (/ 1 x))) x)
(* -1 (/ (- (* -1 (/ (+ 3/128 (* 3/2048 (/ 1 x))) x)) 3/8) x))
(* -1 (/ (- (* -1 (/ (+ 3/128 (+ (/ 3/32768 (pow x 2)) (* 3/2048 (/ 1 x)))) x)) 3/8) x))
1
(+ 1 (* -16 x))
(+ 1 (* -16 x))
(+ 1 (* -16 x))
(* -16 x)
(* x (- (/ 1 x) 16))
(* x (- (/ 1 x) 16))
(* x (- (/ 1 x) 16))
(* -16 x)
(* -1 (* x (- 16 (/ 1 x))))
(* -1 (* x (- 16 (/ 1 x))))
(* -1 (* x (- 16 (/ 1 x))))
(* 16 x)
(* 16 x)
(* 16 x)
(* 16 x)
(* 16 x)
(* 16 x)
(* 16 x)
(* 16 x)
(* 16 x)
(* 16 x)
(* 16 x)
(* 16 x)
6
(+ 6 (* -6 x))
(+ 6 (* -6 x))
(+ 6 (* -6 x))
(* -6 x)
(* x (- (* 6 (/ 1 x)) 6))
(* x (- (* 6 (/ 1 x)) 6))
(* x (- (* 6 (/ 1 x)) 6))
(* -6 x)
(* -1 (* x (- 6 (* 6 (/ 1 x)))))
(* -1 (* x (- 6 (* 6 (/ 1 x)))))
(* -1 (* x (- 6 (* 6 (/ 1 x)))))

Outputs
(/ 6 (- (* -4 (sqrt x)) 1))
(/.f64 #s(literal 6 binary64) (+.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))
(+ (* x (- (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))
(+.f64 (/.f64 #s(literal 6 binary64) (+.f64 (.f64 #s(literal -4 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) (.f64 x (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -4 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 6 binary64) (+.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) #s(literal -6 binary64)))))
(+ (* x (- (+ (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (/ (* x (- (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))) (- (* -4 (sqrt x)) 1))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))
(+.f64 (/.f64 #s(literal 6 binary64) (+.f64 (.f64 #s(literal -4 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) (.f64 x (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -4 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 6 binary64) (+.f64 (.f64 #s(literal -4 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) #s(literal -6 binary64))) (.f64 x (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (.f64 #s(literal -4 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 6 binary64) (+.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) #s(literal 6 binary64)))))))
(+ (* x (- (+ (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (* x (- (/ (* x (- (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))) (pow (- (* -4 (sqrt x)) 1) 2)) (* -1 (/ (- (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))) (- (* -4 (sqrt x)) 1)))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))
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(/ -6 (- (* -4 (sqrt (/ 1 x))) 1))
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(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
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(.f64 x (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) #s(literal -3/8 binary64)))
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(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
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(/ (+ x (* 4 (sqrt x))) x)
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(/ (+ x (* 4 (sqrt x))) x)
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(/ (+ x (* 4 (sqrt x))) x)
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(+ x (* 4 (sqrt x)))
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(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
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(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
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(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
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(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
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(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
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(* -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)))
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(* -4 (* (sqrt x) (pow (sqrt -1) 2)))
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(* -4 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 4 binary64))
(* -6 (- 1 (* 4 (sqrt x))))
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(+ (* -96 (* x (- 1 (* 4 (sqrt x))))) (* -6 (- 1 (* 4 (sqrt x)))))
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(+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* -96 (- 1 (* 4 (sqrt x)))) (* x (+ (* -24576 (* x (- 1 (* 4 (sqrt x))))) (* -1536 (- 1 (* 4 (sqrt x)))))))))
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(* -3/2 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
(+ (* -3/2 (sqrt (/ 1 x))) (* 6 (/ (+ 1/16 (* -1/64 (sqrt (/ 1 x)))) x)))
(+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64)) (/.f64 (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -3/32 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))
(+ (* -3/2 (sqrt (/ 1 x))) (+ (* 3/8 (/ (+ 1/16 (* -1/64 (sqrt (/ 1 x)))) (pow x 2))) (* 6 (/ (+ 1/16 (* -1/64 (sqrt (/ 1 x)))) x))))
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(+ (* -3/2 (sqrt (/ 1 x))) (+ (* 3/128 (/ (+ 1/16 (* -1/64 (sqrt (/ 1 x)))) (pow x 3))) (+ (* 3/8 (/ (+ 1/16 (* -1/64 (sqrt (/ 1 x)))) (pow x 2))) (* 6 (/ (+ 1/16 (* -1/64 (sqrt (/ 1 x)))) x)))))
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(* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
(+ (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 6 (/ (- 1/16 (* -1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))
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-6
#s(literal -6 binary64)
(- (* -96 x) 6)
(+.f64 #s(literal -6 binary64) (*.f64 x #s(literal -96 binary64)))
(- (* x (- (* -1536 x) 96)) 6)
(+.f64 #s(literal -6 binary64) (.f64 x (+.f64 #s(literal -96 binary64) (.f64 x #s(literal -1536 binary64)))))
(- (* x (- (* x (- (* -24576 x) 1536)) 96)) 6)
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(/ 3/8 x)
(/.f64 #s(literal 3/8 binary64) x)
(/ (+ 3/8 (* 3/128 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 3/128 binary64) x)) x)
(/ (+ 3/8 (+ (/ 3/2048 (pow x 2)) (* 3/128 (/ 1 x)))) x)
(/.f64 (+.f64 #s(literal 3/8 binary64) (+.f64 (/.f64 #s(literal 3/128 binary64) x) (/.f64 #s(literal 3/2048 binary64) (*.f64 x x)))) x)
(/ (+ 3/8 (+ (/ 3/2048 (pow x 2)) (+ (* 3/128 (/ 1 x)) (* 3/32768 (/ 1 (pow x 3)))))) x)
(/.f64 (+.f64 (+.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 3/128 binary64) x)) (+.f64 (/.f64 #s(literal 3/2048 binary64) (.f64 x x)) (/.f64 #s(literal 3/32768 binary64) (.f64 x (*.f64 x x))))) x)
(/ 3/8 x)
(/.f64 #s(literal 3/8 binary64) x)
(/ (+ 3/8 (* 3/128 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 3/128 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (+ 3/128 (* 3/2048 (/ 1 x))) x)) 3/8) x))
(/.f64 (-.f64 #s(literal -3/8 binary64) (/.f64 (+.f64 #s(literal 3/128 binary64) (/.f64 #s(literal 3/2048 binary64) x)) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (- (* -1 (/ (+ 3/128 (+ (/ 3/32768 (pow x 2)) (* 3/2048 (/ 1 x)))) x)) 3/8) x))
(/.f64 (-.f64 #s(literal -3/8 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3/2048 binary64) x) (+.f64 #s(literal 3/128 binary64) (/.f64 #s(literal 3/32768 binary64) (*.f64 x x)))) x)) (-.f64 #s(literal 0 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (* -16 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -16 binary64)))
(+ 1 (* -16 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -16 binary64)))
(+ 1 (* -16 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -16 binary64)))
(* -16 x)
(*.f64 x #s(literal -16 binary64))
(* x (- (/ 1 x) 16))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -16 binary64)))
(* x (- (/ 1 x) 16))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -16 binary64)))
(* x (- (/ 1 x) 16))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -16 binary64)))
(* -16 x)
(*.f64 x #s(literal -16 binary64))
(* -1 (* x (- 16 (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -16 binary64)))
(* -1 (* x (- 16 (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -16 binary64)))
(* -1 (* x (- 16 (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -16 binary64)))
(* 16 x)
(*.f64 x #s(literal 16 binary64))
(* 16 x)
(*.f64 x #s(literal 16 binary64))
(* 16 x)
(*.f64 x #s(literal 16 binary64))
(* 16 x)
(*.f64 x #s(literal 16 binary64))
(* 16 x)
(*.f64 x #s(literal 16 binary64))
(* 16 x)
(*.f64 x #s(literal 16 binary64))
(* 16 x)
(*.f64 x #s(literal 16 binary64))
(* 16 x)
(*.f64 x #s(literal 16 binary64))
(* 16 x)
(*.f64 x #s(literal 16 binary64))
(* 16 x)
(*.f64 x #s(literal 16 binary64))
(* 16 x)
(*.f64 x #s(literal 16 binary64))
(* 16 x)
(*.f64 x #s(literal 16 binary64))
6
#s(literal 6 binary64)
(+ 6 (* -6 x))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -6 binary64)))
(+ 6 (* -6 x))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -6 binary64)))
(+ 6 (* -6 x))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -6 binary64)))
(* -6 x)
(*.f64 x #s(literal -6 binary64))
(* x (- (* 6 (/ 1 x)) 6))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -6 binary64)))
(* x (- (* 6 (/ 1 x)) 6))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -6 binary64)))
(* x (- (* 6 (/ 1 x)) 6))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -6 binary64)))
(* -6 x)
(*.f64 x #s(literal -6 binary64))
(* -1 (* x (- 6 (* 6 (/ 1 x)))))
(+.f64 #s(literal 6 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 6 binary64)))
(* -1 (* x (- 6 (* 6 (/ 1 x)))))
(+.f64 #s(literal 6 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 6 binary64)))
(* -1 (* x (- 6 (* 6 (/ 1 x)))))
(+.f64 #s(literal 6 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 6 binary64)))

eval126.0ms (1.2%)

Compiler: Compiled 22604 to 2568 computations (88.6% saved)

prune228.0ms (2.2%)

Pruning

24 alts after pruning (16 fresh and 8 done)

	Pruned	Kept	Total
New	996	4	1000
Fresh	4	12	16
Picked	3	2	5
Done	1	6	7
Total	1004	24	1028

Accuracy

100.0%

Counts

1028 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))))
✓	99.4%	(/.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)))))
✓	99.4%	(/.f64 (+.f64 (.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 x))) x)))
✓	1.6%	(/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))) x)
✓	54.2%	(/.f64 (.f64 x #s(literal 6 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
	54.0%	(/.f64 (.f64 x #s(literal 6 binary64)) (+.f64 x (.f64 #s(literal 4 binary64) (sqrt.f64 x))))
	54.5%	(/.f64 #s(literal 6 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x))))
	54.5%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x))) #s(literal 6 binary64)))
✓	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))))
	99.2%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))) (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))))
	4.2%	(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
	44.8%	(/.f64 #s(literal -6 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
✓	44.5%	(/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
	45.8%	(/.f64 #s(literal -36 binary64) (.f64 (+.f64 (.f64 x #s(literal -6 binary64)) #s(literal -6 binary64)) (+.f64 #s(literal -1 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x))))
	47.1%	(+.f64 #s(literal -6 binary64) (*.f64 #s(literal 24 binary64) (sqrt.f64 x)))
	4.3%	(.f64 (pow.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 3/2 binary64))
	4.2%	(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -3/2 binary64))
	54.5%	(.f64 (/.f64 x (+.f64 x (.f64 (sqrt.f64 x) #s(literal 4 binary64)))) #s(literal 6 binary64))
	54.6%	(.f64 (/.f64 #s(literal 6 binary64) (+.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))) x)
	47.4%	(.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 #s(literal -1 binary64) x))
✓	99.3%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -6 binary64))))
	54.4%	(.f64 (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) x)
✓	4.7%	(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
	54.7%	(.f64 #s(literal 6 binary64) (/.f64 x (+.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))))

Compiler

Compiled 828 to 374 computations (54.8% saved)

regimes27.0ms (0.3%)

Counts

46 → 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 (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 24 binary64) (sqrt.f64 x)))
(/.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 (sqrt.f64 x) #s(literal -3/2 binary64)) x)
(.f64 (pow.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 3/2 binary64))
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 x) #s(literal -2/3 binary64))))
(/.f64 #s(literal 6 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x))))
(/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))) x)
(/.f64 (+.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) #s(literal -3/8 binary64)) (neg.f64 x))
(.f64 (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) x)
(.f64 (/.f64 x (+.f64 x (.f64 (sqrt.f64 x) #s(literal 4 binary64)))) #s(literal 6 binary64))
(/.f64 #s(literal -6 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x))) #s(literal 6 binary64)))
(/.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 (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) x))
(/.f64 (.f64 x #s(literal 6 binary64)) (+.f64 x (.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(.f64 #s(literal 6 binary64) (/.f64 x (+.f64 (.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) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 #s(literal -1 binary64) x))
(.f64 (/.f64 #s(literal 6 binary64) (+.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))) x)
(/.f64 (.f64 x #s(literal 6 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(/.f64 (+.f64 (.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(.f64 (/.f64 #s(literal -6 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 #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 (.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)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (.f64 (sqrt.f64 x) #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -6 binary64))))
(/.f64 #s(literal -36 binary64) (.f64 (+.f64 (.f64 x #s(literal -6 binary64)) #s(literal -6 binary64)) (+.f64 #s(literal -1 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))))
(/.f64 (+.f64 (.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 x))) x)))
(/.f64 (+.f64 (.f64 #s(literal 36 binary64) (.f64 x x)) #s(literal -36 binary64)) (+.f64 (.f64 #s(literal -6 binary64) (.f64 (sqrt.f64 x) #s(literal -4 binary64))) #s(literal 6 binary64)))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))) (+.f64 #s(literal -1 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))) (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (+.f64 (.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.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))))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (.f64 (sqrt.f64 x) #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))))
(/.f64 (+.f64 (.f64 #s(literal 36 binary64) (.f64 x x)) #s(literal -36 binary64)) (.f64 (+.f64 (.f64 x #s(literal -6 binary64)) #s(literal -6 binary64)) (+.f64 #s(literal -1 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x))))
(/.f64 (/.f64 (+.f64 (.f64 #s(literal 36 binary64) (.f64 x x)) #s(literal -36 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 x (.f64 (sqrt.f64 x) #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal 6 binary64) x) #s(literal 6 binary64)))
(.f64 (/.f64 (+.f64 (.f64 #s(literal 6 binary64) 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 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))

Outputs
(/.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)))))

Calls

2 calls:

12.0ms	x
12.0ms	(/.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
99.4%	1	`x`
99.4%	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)

regimes19.0ms (0.2%)

Counts

31 → 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 (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 24 binary64) (sqrt.f64 x)))
(/.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 (sqrt.f64 x) #s(literal -3/2 binary64)) x)
(.f64 (pow.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 3/2 binary64))
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 x) #s(literal -2/3 binary64))))
(/.f64 #s(literal 6 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x))))
(/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))) x)
(/.f64 (+.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) #s(literal -3/8 binary64)) (neg.f64 x))
(.f64 (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) x)
(.f64 (/.f64 x (+.f64 x (.f64 (sqrt.f64 x) #s(literal 4 binary64)))) #s(literal 6 binary64))
(/.f64 #s(literal -6 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x))) #s(literal 6 binary64)))
(/.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 (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) x))
(/.f64 (.f64 x #s(literal 6 binary64)) (+.f64 x (.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(.f64 #s(literal 6 binary64) (/.f64 x (+.f64 (.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) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 #s(literal -1 binary64) x))
(.f64 (/.f64 #s(literal 6 binary64) (+.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))) x)
(/.f64 (.f64 x #s(literal 6 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(/.f64 (+.f64 (.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(.f64 (/.f64 #s(literal -6 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 #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))))

Outputs
(/.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))))

Calls

2 calls:

9.0ms	x
8.0ms	(/.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
99.4%	1	`x`
99.4%	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)

regimes132.0ms (1.3%)

Counts

30 → 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 (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 24 binary64) (sqrt.f64 x)))
(/.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 (sqrt.f64 x) #s(literal -3/2 binary64)) x)
(.f64 (pow.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 3/2 binary64))
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 x) #s(literal -2/3 binary64))))
(/.f64 #s(literal 6 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x))))
(/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))) x)
(/.f64 (+.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) #s(literal -3/8 binary64)) (neg.f64 x))
(.f64 (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) x)
(.f64 (/.f64 x (+.f64 x (.f64 (sqrt.f64 x) #s(literal 4 binary64)))) #s(literal 6 binary64))
(/.f64 #s(literal -6 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x))) #s(literal 6 binary64)))
(/.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 (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) x))
(/.f64 (.f64 x #s(literal 6 binary64)) (+.f64 x (.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(.f64 #s(literal 6 binary64) (/.f64 x (+.f64 (.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) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 #s(literal -1 binary64) x))
(.f64 (/.f64 #s(literal 6 binary64) (+.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))) x)
(/.f64 (.f64 x #s(literal 6 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(/.f64 (+.f64 (.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(.f64 (/.f64 #s(literal -6 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))))

Outputs

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
97.3%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0.1%)

Counts

25 → 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 (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 24 binary64) (sqrt.f64 x)))
(/.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 (sqrt.f64 x) #s(literal -3/2 binary64)) x)
(.f64 (pow.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 3/2 binary64))
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 x) #s(literal -2/3 binary64))))
(/.f64 #s(literal 6 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x))))
(/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))) x)
(/.f64 (+.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) #s(literal -3/8 binary64)) (neg.f64 x))
(.f64 (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) x)
(.f64 (/.f64 x (+.f64 x (.f64 (sqrt.f64 x) #s(literal 4 binary64)))) #s(literal 6 binary64))
(/.f64 #s(literal -6 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x))) #s(literal 6 binary64)))
(/.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 (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) x))
(/.f64 (.f64 x #s(literal 6 binary64)) (+.f64 x (.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(.f64 #s(literal 6 binary64) (/.f64 x (+.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))))

Outputs

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
97.2%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0.1%)

Counts

24 → 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 (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 24 binary64) (sqrt.f64 x)))
(/.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 (sqrt.f64 x) #s(literal -3/2 binary64)) x)
(.f64 (pow.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 3/2 binary64))
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 x) #s(literal -2/3 binary64))))
(/.f64 #s(literal 6 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x))))
(/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))) x)
(/.f64 (+.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) #s(literal -3/8 binary64)) (neg.f64 x))
(.f64 (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) x)
(.f64 (/.f64 x (+.f64 x (.f64 (sqrt.f64 x) #s(literal 4 binary64)))) #s(literal 6 binary64))
(/.f64 #s(literal -6 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x))) #s(literal 6 binary64)))
(/.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 (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) 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 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
97.2%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Counts

22 → 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 (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 24 binary64) (sqrt.f64 x)))
(/.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 (sqrt.f64 x) #s(literal -3/2 binary64)) x)
(.f64 (pow.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 3/2 binary64))
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 x) #s(literal -2/3 binary64))))
(/.f64 #s(literal 6 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x))))
(/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))) x)
(/.f64 (+.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) #s(literal -3/8 binary64)) (neg.f64 x))
(.f64 (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) x)
(.f64 (/.f64 x (+.f64 x (.f64 (sqrt.f64 x) #s(literal 4 binary64)))) #s(literal 6 binary64))
(/.f64 #s(literal -6 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x))) #s(literal 6 binary64)))
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))))

Outputs

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
97.2%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes97.0ms (0.9%)

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

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

Calls

1 calls:

96.0ms

Results

Accuracy	Segments	Branch
97.2%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts

17 → 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 (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 24 binary64) (sqrt.f64 x)))
(/.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 (sqrt.f64 x) #s(literal -3/2 binary64)) x)
(.f64 (pow.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 3/2 binary64))
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 x) #s(literal -2/3 binary64))))
(/.f64 #s(literal 6 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x))))
(/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))) x)
(/.f64 (+.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) #s(literal -3/8 binary64)) (neg.f64 x))
(.f64 (/.f64 #s(literal -6 binary64) (-.f64 (.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) x)

Outputs

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
97.2%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts

13 → 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 (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 24 binary64) (sqrt.f64 x)))
(/.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 (sqrt.f64 x) #s(literal -3/2 binary64)) x)
(.f64 (pow.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 3/2 binary64))
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 x) #s(literal -2/3 binary64))))

Outputs
(+.f64 #s(literal -6 binary64) (*.f64 #s(literal 24 binary64) (sqrt.f64 x)))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
47.1%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

6 → 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 (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))

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
7.1%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (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
4.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch14.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.20491384671258114	27.619868242408025

Results

8.0ms

112×

valid

Compiler

Compiled 215 to 175 computations (18.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 2.0ms (37.7% of total)

ival-sub: 1.0ms (18.9% of total)

ival-div: 1.0ms (18.9% of total)

ival-add: 1.0ms (18.9% of total)

ival-sqrt: 1.0ms (18.9% 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
23.0ms	0.20491384671258114	27.619868242408025

Results

19.0ms

112×

valid

Compiler

Compiled 201 to 161 computations (19.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 2.0ms (37.6% of total)

ival-sub: 1.0ms (18.8% of total)

ival-div: 1.0ms (18.8% of total)

ival-add: 1.0ms (18.8% of total)

ival-sqrt: 1.0ms (18.8% of total)

const: 0.0ms (0% of total)

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

bsearch14.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.20491384671258114	27.619868242408025

Results

8.0ms

112×

valid

Compiler

Compiled 187 to 147 computations (21.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 2.0ms (37.2% of total)

ival-sub: 1.0ms (18.6% of total)

ival-div: 1.0ms (18.6% of total)

ival-add: 1.0ms (18.6% of total)

ival-sqrt: 1.0ms (18.6% of total)

const: 0.0ms (0% of total)

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

bsearch15.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.20491384671258114	27.619868242408025

Results

8.0ms

112×

valid

Compiler

Compiled 187 to 147 computations (21.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 2.0ms (37.2% of total)

ival-sub: 1.0ms (18.6% of total)

ival-div: 1.0ms (18.6% of total)

ival-add: 1.0ms (18.6% of total)

ival-sqrt: 1.0ms (18.6% of total)

const: 0.0ms (0% of total)

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

bsearch14.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.20491384671258114	27.619868242408025

Results

8.0ms

112×

valid

Compiler

Compiled 173 to 140 computations (19.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 2.0ms (36.3% of total)

ival-sub: 1.0ms (18.2% of total)

ival-div: 1.0ms (18.2% of total)

ival-add: 1.0ms (18.2% of total)

ival-sqrt: 1.0ms (18.2% of total)

const: 0.0ms (0% of total)

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

bsearch15.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.20491384671258114	27.619868242408025

Results

10.0ms

112×

valid

Compiler

Compiled 159 to 140 computations (11.9% saved)

Precisions

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

ival-mult: 2.0ms (28.4% of total)

ival-sqrt: 2.0ms (28.4% of total)

ival-sub: 1.0ms (14.2% of total)

ival-div: 1.0ms (14.2% of total)

ival-add: 1.0ms (14.2% of total)

const: 0.0ms (0% of total)

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

bsearch16.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.20491384671258114	27.619868242408025

Results

8.0ms

112×

valid

Compiler

Compiled 103 to 84 computations (18.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 2.0ms (35.9% of total)

ival-sub: 1.0ms (18% of total)

ival-div: 1.0ms (18% of total)

ival-add: 1.0ms (18% of total)

ival-sqrt: 1.0ms (18% of total)

const: 0.0ms (0% of total)

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

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

34×	`+-commutative_binary64`
28×	`*-commutative_binary64`
16×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	194
1	89	194
2	107	194
3	120	194
4	125	194
5	126	194

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.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)))))
(/.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))))
(if (<=.f64 x #s(literal 7656119366529843/2251799813685248 binary64)) (.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 6 binary64) (/.f64 x (+.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64))))))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -4 binary64))))) (.f64 #s(literal 6 binary64) (/.f64 x (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64))))))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -4 binary64))))) (/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (.f64 #s(literal 4 binary64) (sqrt.f64 x))) x)))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -4 binary64))))) (.f64 (/.f64 x (+.f64 x (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) #s(literal 6 binary64)))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (.f64 (/.f64 x (+.f64 x (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) #s(literal 6 binary64)))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 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 #s(literal 24 binary64) (sqrt.f64 x)))
(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 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 x (-.f64 #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 x #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 (.f64 #s(literal 6 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(if (<=.f64 x #s(literal 7656119366529843/2251799813685248 binary64)) (.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 6 binary64) (/.f64 x (+.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64))))))
(if (<=.f64 x #s(literal 7656119366529843/2251799813685248 binary64)) (.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (+.f64 x #s(literal -1 binary64))) (.f64 #s(literal 6 binary64) (/.f64 x (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (sqrt.f64 x) #s(literal 4 binary64))))))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -4 binary64))))) (.f64 #s(literal 6 binary64) (/.f64 x (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64))))))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -4 binary64))))) (.f64 #s(literal 6 binary64) (/.f64 x (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -4 binary64))))) (/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (.f64 #s(literal 4 binary64) (sqrt.f64 x))) x)))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -4 binary64))))) (/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (.f64 (sqrt.f64 x) #s(literal 4 binary64))) x)))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -4 binary64))))) (.f64 (/.f64 x (+.f64 x (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) #s(literal 6 binary64)))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -4 binary64))))) (.f64 #s(literal 6 binary64) (/.f64 x (+.f64 x (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (.f64 (/.f64 x (+.f64 x (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) #s(literal 6 binary64)))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (.f64 #s(literal 6 binary64) (/.f64 x (+.f64 x (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 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 #s(literal 24 binary64) (sqrt.f64 x)))
(+.f64 #s(literal -6 binary64) (*.f64 (sqrt.f64 x) #s(literal 24 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))

soundness2.9s (28.3%)

Rules

5366×	`-lowering-.f32`
5366×	`-lowering-.f64`
4992×	`-lowering-.f32`
4992×	`-lowering-.f64`
3914×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	551	5030
1	1936	4112
2	6969	4106
0	8431	4106
0	340	2285
1	1009	1972
2	3052	1872
0	8946	1872
0	217	2035
1	702	1757
2	2332	1688
0	8301	1688
0	27	109
1	163	96
2	1196	96
0	8514	96
0	29	111
1	175	105
2	1506	96
0	8832	96
0	40	194
1	286	164
2	2846	159
0	8617	159
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
0	139	859
1	438	773
2	1498	693
3	5276	693
0	8256	693

Stop Event

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

Compiler

Compiled 757 to 504 computations (33.4% saved)

preprocess75.0ms (0.7%)

Compiler: Compiled 450 to 148 computations (67.1% saved)

Iter	Nodes	Cost
0	27	158
1	43	150
2	60	149
3	95	149
4	138	149
5	173	149
6	206	149
7	240	146
8	244	146
9	246	146
10	252	146
11	258	146
12	260	146
13	279	146
14	293	146
15	297	146
16	304	146
17	308	146
18	311	146
19	319	146
20	355	146
21	398	146
22	404	146
23	405	146
0	405	146

Iter	Nodes	Cost
0	27	158
1	43	150
2	60	149
3	95	149
4	138	149
5	173	149
6	206	149
7	240	146
8	244	146
9	246	146
10	252	146
11	258	146
12	260	146
13	279	146
14	293	146
15	297	146
16	304	146
17	308	146
18	311	146
19	319	146
20	355	146
21	398	146
22	404	146
23	405	146
0	405	146

analyze2.0ms (0%)

sample971.0ms (9.4%)

preprocess243.0ms (2.4%)

explain104.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify153.0ms (1.5%)

localize46.0ms (0.4%)

series10.0ms (0.1%)

rewrite336.0ms (3.3%)

simplify268.0ms (2.6%)

eval44.0ms (0.4%)

prune77.0ms (0.7%)

simplify361.0ms (3.5%)

localize218.0ms (2.1%)

series77.0ms (0.7%)

rewrite627.0ms (6.1%)

simplify351.0ms (3.4%)

eval182.0ms (1.8%)

prune180.0ms (1.7%)

simplify28.0ms (0.3%)

localize132.0ms (1.3%)

series15.0ms (0.1%)

rewrite322.0ms (3.1%)

simplify392.0ms (3.8%)

eval135.0ms (1.3%)

prune116.0ms (1.1%)

simplify258.0ms (2.5%)

localize145.0ms (1.4%)

series15.0ms (0.1%)

rewrite382.0ms (3.7%)

simplify337.0ms (3.3%)

eval126.0ms (1.2%)

prune228.0ms (2.2%)

regimes27.0ms (0.3%)

regimes19.0ms (0.2%)

regimes132.0ms (1.3%)

regimes9.0ms (0.1%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

regimes97.0ms (0.9%)

regimes6.0ms (0.1%)

regimes5.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

bsearch14.0ms (0.1%)

bsearch24.0ms (0.2%)

bsearch14.0ms (0.1%)

bsearch15.0ms (0.1%)

bsearch14.0ms (0.1%)

bsearch15.0ms (0.1%)

bsearch16.0ms (0.2%)

simplify13.0ms (0.1%)

soundness2.9s (28.3%)

preprocess75.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	27	158
1	43	150
2	60	149
3	95	149
4	138	149
5	173	149
6	206	149
7	240	146
8	244	146
9	246	146
10	252	146
11	258	146
12	260	146
13	279	146
14	293	146
15	297	146
16	304	146
17	308	146
18	311	146
19	319	146
20	355	146
21	398	146
22	404	146
23	405	146
0	405	146