Metrics for Data.Number.Erf:$cinvnormcdf from erf-2.0.0.0, A

analyze235.0ms (1.4%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
50%	49.9%	49.9%	0.2%	0%	0%	0%	4
50%	49.9%	49.9%	0.2%	0%	0%	0%	5
50%	49.9%	49.9%	0.2%	0%	0%	0%	6
50%	49.9%	49.9%	0.2%	0%	0%	0%	7
66.7%	49.9%	25%	0.2%	0%	25%	0%	8
66.7%	49.9%	25%	0.2%	0%	25%	0%	9
66.7%	49.9%	25%	0.2%	0%	25%	0%	10
66.7%	49.9%	25%	0.2%	0%	25%	0%	11
80%	49.9%	12.5%	0.2%	0%	37.4%	0%	12

Compiler

Compiled 22 to 16 computations (27.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 142.0ms

ival-mult: 96.0ms (67.4% of total)

ival-exp: 20.0ms (14% of total)

ival-sub: 10.0ms (7% of total)

ival-div: 8.0ms (5.6% of total)

ival-sqrt: 7.0ms (4.9% of total)

const: 2.0ms (1.4% of total)

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

sample2.0s (11.8%)

Results

1.3s	8256×	0	valid
239.0ms	2081×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-mult: 780.0ms (67.6% of total)

ival-div: 99.0ms (8.6% of total)

ival-sqrt: 87.0ms (7.5% of total)

ival-exp: 82.0ms (7.1% of total)

ival-sub: 80.0ms (6.9% of total)

const: 21.0ms (1.8% of total)

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

Bogosity

preprocess195.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

2234×	`sum3-define`
1814×	`fmsub-define`
1798×	`fnmsub-define`
1576×	`fnmadd-define`
1536×	`sum5-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	233
1	208	227
2	533	227
3	1670	225
4	5098	225
0	15	15
1	29	15
2	53	15
3	114	15
4	278	15
5	501	15
6	806	15
7	1382	15
8	3608	15
9	6054	15
10	7508	15
11	7954	15
12	7990	15
13	7990	15
0	8410	15

Stop Event

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

Calls

Call 1

Inputs
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2)))

Outputs

(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2)))

(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))))

Call 2

Inputs
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2)))
(* (* (- (* (neg x) 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2)))
(* (* (- (* x 1/2) (neg y)) (sqrt (* z 2))) (exp (/ (* t t) 2)))
(* (* (- (* x 1/2) y) (sqrt (* (neg z) 2))) (exp (/ (* t t) 2)))
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* (neg t) (neg t)) 2)))
(neg (* (* (- (* (neg x) 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))))
(neg (* (* (- (* x 1/2) (neg y)) (sqrt (* z 2))) (exp (/ (* t t) 2))))
(neg (* (* (- (* x 1/2) y) (sqrt (* (neg z) 2))) (exp (/ (* t t) 2))))
(neg (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* (neg t) (neg t)) 2))))
(* (* (- (* y 1/2) x) (sqrt (* z 2))) (exp (/ (* t t) 2)))
(* (* (- (* z 1/2) y) (sqrt (* x 2))) (exp (/ (* t t) 2)))
(* (* (- (* t 1/2) y) (sqrt (* z 2))) (exp (/ (* x x) 2)))
(* (* (- (* x 1/2) z) (sqrt (* y 2))) (exp (/ (* t t) 2)))
(* (* (- (* x 1/2) t) (sqrt (* z 2))) (exp (/ (* y y) 2)))
(* (* (- (* x 1/2) y) (sqrt (* t 2))) (exp (/ (* z z) 2)))

Outputs
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2)))
(* (fnmsub x -1/2 y) (/ (sqrt (* z 2)) (pow (rsqrt (exp t)) t)))
(* (* (- (* (neg x) 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2)))
(* (fnmsub x 1/2 y) (/ (sqrt (* z 2)) (pow (rsqrt (exp t)) t)))
(* (* (- (* x 1/2) (neg y)) (sqrt (* z 2))) (exp (/ (* t t) 2)))
(* (fma x 1/2 y) (/ (sqrt (* z 2)) (pow (rsqrt (exp t)) t)))
(* (* (- (* x 1/2) y) (sqrt (* (neg z) 2))) (exp (/ (* t t) 2)))
(* (fnmsub x -1/2 y) (/ (sqrt (* z -2)) (pow (rsqrt (exp t)) t)))
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* (neg t) (neg t)) 2)))
(* (fnmsub x -1/2 y) (/ (sqrt (* z 2)) (pow (rsqrt (exp t)) t)))
(neg (* (* (- (* (neg x) 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))))
(* (fma x 1/2 y) (/ (sqrt (* z 2)) (pow (rsqrt (exp t)) t)))
(neg (* (* (- (* x 1/2) (neg y)) (sqrt (* z 2))) (exp (/ (* t t) 2))))
(* (fnmsub x 1/2 y) (/ (sqrt (* z 2)) (pow (rsqrt (exp t)) t)))
(neg (* (* (- (* x 1/2) y) (sqrt (* (neg z) 2))) (exp (/ (* t t) 2))))
(* (/ (sqrt (* z -2)) (pow (rsqrt (exp t)) t)) (fma x -1/2 y))
(neg (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* (neg t) (neg t)) 2))))
(* (/ (sqrt (* z 2)) (pow (rsqrt (exp t)) t)) (fma x -1/2 y))
(* (* (- (* y 1/2) x) (sqrt (* z 2))) (exp (/ (* t t) 2)))
(* (fnmsub y -1/2 x) (/ (sqrt (* z 2)) (pow (rsqrt (exp t)) t)))
(* (* (- (* z 1/2) y) (sqrt (* x 2))) (exp (/ (* t t) 2)))
(* (sqrt (pow (exp t) t)) (* (fmsub 1/2 z y) (sqrt (* x 2))))
(* (* (- (* t 1/2) y) (sqrt (* z 2))) (exp (/ (* x x) 2)))
(* (sqrt (* z 2)) (* (fnmsub t -1/2 y) (sqrt (pow (exp x) x))))
(* (* (- (* x 1/2) z) (sqrt (* y 2))) (exp (/ (* t t) 2)))
(* (sqrt (* y 2)) (* (sqrt (pow (exp t) t)) (fnmsub x -1/2 z)))
(* (* (- (* x 1/2) t) (sqrt (* z 2))) (exp (/ (* y y) 2)))
(* (sqrt (* z 2)) (* (fnmsub x -1/2 t) (pow (sqrt (exp y)) y)))
(* (* (- (* x 1/2) y) (sqrt (* t 2))) (exp (/ (* z z) 2)))
(* (sqrt (* 2 t)) (* (fnmsub x -1/2 y) (sqrt (pow (exp z) z))))

Symmetry

(abs t)

explain136.0ms (0.8%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`#s(literal 1/2 binary64)`
-	-	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
-	-	`(*.f64 z #s(literal 2 binary64))`
-	-	`y`
-	-	`(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))`
-	-	`#s(literal 2 binary64)`
-	-	`(*.f64 t t)`
-	-	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
-	-	`(*.f64 x #s(literal 1/2 binary64))`
-	-	`z`
-	-	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
-	-	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
-	-	`t`
-	-	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`

Results

89.0ms

512×

valid

Compiler

Compiled 155 to 47 computations (69.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 27.0ms (58.2% of total)

ival-div: 7.0ms (15.1% of total)

ival-sqrt: 4.0ms (8.6% of total)

ival-sub: 3.0ms (6.5% of total)

ival-exp: 3.0ms (6.5% of total)

const: 1.0ms (2.2% of total)

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

eval0.0ms (0%)

Compiler: Compiled 21 to 15 computations (28.6% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))

Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify144.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
✓	cost-diff	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
✓	cost-diff	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))

Rules

2234×	`sum3-define`
1814×	`fmsub-define`
1798×	`fnmsub-define`
1576×	`fnmadd-define`
1536×	`sum5-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	57
1	29	57
2	53	57
3	114	57
4	278	57
5	501	57
6	806	57
7	1382	57
8	3608	57
9	6054	57
10	7508	57
11	7954	57
12	7990	57
13	7990	57
0	8410	57

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2)))
(* (- (* x 1/2) y) (sqrt (* z 2)))
(- (* x 1/2) y)
(* x 1/2)
x
1/2
y
(sqrt (* z 2))
(* z 2)
z
2
(exp (/ (* t t) 2))
(/ (* t t) 2)
(* t t)
t

Outputs
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2)))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))))
(* (- (* x 1/2) y) (sqrt (* z 2)))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(- (* x 1/2) y)
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
x
1/2
#s(literal 1/2 binary64)
y
(sqrt (* z 2))
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(* z 2)
(*.f64 z #s(literal 2 binary64))
z
2
#s(literal 2 binary64)
(exp (/ (* t t) 2))
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
(/ (* t t) 2)
(/.f64 (*.f64 t t) #s(literal 2 binary64))
(* t t)
(*.f64 t t)
t

localize89.0ms (0.5%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓	accuracy	100.0%	(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
✓	accuracy	100.0%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
✓	accuracy	99.6%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))

Results

74.0ms

256×

valid

Compiler

Compiled 67 to 16 computations (76.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 18.0ms (71.4% of total)

ival-div: 2.0ms (7.9% of total)

ival-exp: 2.0ms (7.9% of total)

ival-sqrt: 2.0ms (7.9% of total)

ival-sub: 1.0ms (4% of total)

const: 1.0ms (4% of total)

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

series21.0ms (0.1%)

Counts

6 → 144

Calls

Call 1

Inputs
#<alt (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2)))>
#<alt (* (- (* x 1/2) y) (sqrt (* z 2)))>
#<alt (- (* x 1/2) y)>
#<alt (* x 1/2)>
#<alt (exp (/ (* t t) 2))>
#<alt (sqrt (* z 2))>

Outputs
#<alt (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))>
#<alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))>
#<alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))>
#<alt (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<alt (* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))>
#<alt (* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))>
#<alt (* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))>
#<alt (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))>
#<alt (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))>
#<alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))>
#<alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))>
#<alt (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<alt (* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))>
#<alt (* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))>
#<alt (* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))>
#<alt (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))>
#<alt (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))>
#<alt (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))>
#<alt (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))>
#<alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))>
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))>
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))>
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))>
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))>
#<alt (* -1 y)>
#<alt (- (* 1/2 x) y)>
#<alt (- (* 1/2 x) y)>
#<alt (- (* 1/2 x) y)>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1 (/ y x))))>
#<alt (* x (+ 1/2 (* -1 (/ y x))))>
#<alt (* x (+ 1/2 (* -1 (/ y x))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (/ y x) 1/2)))>
#<alt (* -1 (* x (- (/ y x) 1/2)))>
#<alt (* -1 (* x (- (/ y x) 1/2)))>
#<alt (* 1/2 x)>
#<alt (+ (* -1 y) (* 1/2 x))>
#<alt (+ (* -1 y) (* 1/2 x))>
#<alt (+ (* -1 y) (* 1/2 x))>
#<alt (* -1 y)>
#<alt (* y (- (* 1/2 (/ x y)) 1))>
#<alt (* y (- (* 1/2 (/ x y)) 1))>
#<alt (* y (- (* 1/2 (/ x y)) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1/2 (/ x y)))))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow t 2)))>
#<alt (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))>
#<alt (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))>

Calls

36 calls:

Time	Variable		Point	Expression
4.0ms	z	@	0	(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2)))
2.0ms	z	@	-inf	(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2)))
2.0ms	x	@	0	(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2)))
1.0ms	x	@	-inf	(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2)))
1.0ms	y	@	0	(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2)))

rewrite304.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3086×	`-lowering-.f32`
3086×	`-lowering-.f64`
2682×	`/-lowering-/.f32`
2682×	`/-lowering-/.f64`
1530×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	40
1	56	39
2	290	39
3	2665	39
0	8425	39

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 351

Calls

Call 1

Inputs
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2)))
(* (- (* x 1/2) y) (sqrt (* z 2)))
(- (* x 1/2) y)
(* x 1/2)
(exp (/ (* t t) 2))
(sqrt (* z 2))

Outputs
(+.f64 (.f64 (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))) (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))) (.f64 (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))) (.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) y))))
(+.f64 (.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))) (.f64 x #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) (-.f64 #s(literal 0 binary64) y)))
(+.f64 (.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))) (-.f64 #s(literal 0 binary64) y)) (.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))) (*.f64 x #s(literal 1/2 binary64))))
(+.f64 (.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64)))) (.f64 (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) y)) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t)))))) (.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))))
(+.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t)))))) (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y))) (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 y (.f64 y y))) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))))))
(/.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y))) (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 y (.f64 y y))) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t)))))))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 y (.f64 y y))) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t)))))) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(/.f64 (.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t)))))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 y (.f64 y y))) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (*.f64 x #s(literal 1/2 binary64)) y)))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 (.f64 (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 y (.f64 y y))))) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(/.f64 (.f64 (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y))
(/.f64 (.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 (.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))) (+.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (.f64 y (.f64 y y)))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (*.f64 x #s(literal 1/2 binary64)) y)))))
(/.f64 (.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))) (+.f64 (neg.f64 (.f64 x (.f64 x #s(literal 1/4 binary64)))) (.f64 y y))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t)))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 (.f64 (+.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (.f64 y (.f64 y y))) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t)))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (*.f64 x #s(literal 1/2 binary64)) y)))))
(/.f64 (.f64 (+.f64 (neg.f64 (.f64 x (.f64 x #s(literal 1/4 binary64)))) (.f64 y y)) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t)))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y))))
(/.f64 (neg.f64 (neg.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 y (.f64 y y))) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t)))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (*.f64 x #s(literal 1/2 binary64)) y))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t)))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x #s(literal 1/2 binary64)) y))))
(/.f64 (neg.f64 (.f64 (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 y (.f64 y y)))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (*.f64 x #s(literal 1/2 binary64)) y)))))
(/.f64 (neg.f64 (.f64 (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))) (+.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (.f64 y (.f64 y y))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (*.f64 x #s(literal 1/2 binary64)) y))))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))) (+.f64 (neg.f64 (.f64 x (.f64 x #s(literal 1/4 binary64)))) (.f64 y y)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x #s(literal 1/2 binary64)) y))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(/.f64 (neg.f64 (.f64 (+.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (.f64 y (.f64 y y))) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (*.f64 x #s(literal 1/2 binary64)) y))))))
(/.f64 (neg.f64 (.f64 (+.f64 (neg.f64 (.f64 x (.f64 x #s(literal 1/4 binary64)))) (.f64 y y)) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x #s(literal 1/2 binary64)) y))))
(pow.f64 (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y))) (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 y (.f64 y y))) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))))) #s(literal -1 binary64))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(.f64 (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 y (.f64 y y))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y)))) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t)))))))
(.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 y (.f64 y y))) (/.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (*.f64 x #s(literal 1/2 binary64)) y)))))
(.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))))
(.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (/.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))))
(.f64 (sqrt.f64 z) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))))
(.f64 (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 y (.f64 y y))) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t)))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y)))))
(.f64 (.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t)))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) z)) (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))) (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
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(/.f64 (neg.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 1/2 binary64)) y)))) (neg.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 y y) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y))))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 y (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 1/2 binary64)) y)))) (neg.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y)))))
(.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (*.f64 x #s(literal 1/2 binary64)) y))))))
(.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y))) (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y)))))
(.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y))
(.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(.f64 (+.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y))))))
(.f64 (+.f64 (neg.f64 (.f64 x (.f64 x #s(literal 1/4 binary64)))) (.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y)))) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 y (.f64 y y))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 y (.f64 y y)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 1/2 binary64)) y)) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (*.f64 y y)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 1/2 binary64)) y)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (*.f64 y y))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 y (.f64 y y)))) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64))))))
(.f64 (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 y (.f64 y y))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64))) (.f64 (.f64 y (.f64 y y)) (.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 x #s(literal 1/2 binary64)) y)))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y)) (-.f64 (.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y)) (.f64 x (*.f64 x #s(literal 1/4 binary64)))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 y (.f64 y y))) (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 y y) (.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 x #s(literal 1/2 binary64)) y))))) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y))) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1/512 binary64)) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64))) (.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 y (.f64 y y)))))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 y (*.f64 y y)))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 y y) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y))))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 y (.f64 y (.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y))))
(exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 1/2 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 1/2 binary64))) (exp.f64 (log.f64 x)))
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (.f64 t t)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (.f64 t t)))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (log.f64 (E.f64)) (/.f64 (.f64 t t) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (exp.f64 (/.f64 t #s(literal 2 binary64)))) t))
(fabs.f64 (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(sqrt.f64 (exp.f64 (*.f64 t t)))
(/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 t t))))
(/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (/.f64 (*.f64 t t) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (.f64 #s(literal 1 binary64) (/.f64 (.f64 t t) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 t t) #s(literal -2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64)))))
(pow.f64 (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (exp.f64 (*.f64 t t)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 t) (/.f64 t #s(literal 2 binary64)))
(pow.f64 (exp.f64 t) (+.f64 (/.f64 (/.f64 t #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (/.f64 t #s(literal 2 binary64)) #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 t t))
(pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 t t))) #s(literal -1/2 binary64))
(pow.f64 (E.f64) (/.f64 (*.f64 t t) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (/.f64 t #s(literal 2 binary64))) t)
(pow.f64 (exp.f64 (/.f64 t #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) t)))
(pow.f64 (exp.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (.f64 (.f64 t t) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (*.f64 t (/.f64 (/.f64 t #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 t) #s(literal 1 binary64)) (/.f64 t #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 t t))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 t t)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) t)) (-.f64 #s(literal 0 binary64) t))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) t))) t)
(pow.f64 (pow.f64 (E.f64) #s(literal 1/2 binary64)) (*.f64 t t))
(pow.f64 (pow.f64 (E.f64) t) (/.f64 t #s(literal 2 binary64)))
(pow.f64 (pow.f64 (E.f64) (-.f64 #s(literal 0 binary64) (*.f64 t t))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (E.f64) #s(literal 1 binary64)) (/.f64 (*.f64 t t) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (E.f64) #s(literal -1 binary64)) (/.f64 (*.f64 t t) #s(literal -2 binary64)))
(pow.f64 (pow.f64 (E.f64) (-.f64 #s(literal 0 binary64) t)) (/.f64 t #s(literal -2 binary64)))
(pow.f64 (pow.f64 (E.f64) (-.f64 #s(literal 0 binary64) t)) (*.f64 t #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 (E.f64) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 t t)))
(pow.f64 (pow.f64 (E.f64) (pow.f64 (/.f64 (.f64 t t) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (.f64 t t) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (E.f64) (*.f64 #s(literal 1 binary64) t)) (/.f64 t #s(literal 2 binary64)))
(pow.f64 (pow.f64 (E.f64) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 t t)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (exp.f64 (/.f64 t #s(literal 2 binary64))) (sqrt.f64 t)) (sqrt.f64 t))
(pow.f64 (.f64 (exp.f64 (.f64 t t)) (exp.f64 (*.f64 t t))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (exp.f64 t) (exp.f64 t)) (/.f64 (/.f64 t #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (*.f64 t t) #s(literal -2 binary64)))
(pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t)) (/.f64 t #s(literal -2 binary64)))
(pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) t)) (*.f64 t #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 t t)))
(pow.f64 (exp.f64 (pow.f64 (/.f64 (.f64 t t) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (.f64 t t) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (*.f64 #s(literal 1 binary64) t)) (/.f64 t #s(literal 2 binary64)))
(pow.f64 (exp.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 t t)))) #s(literal -1/2 binary64))
(.f64 (exp.f64 (.f64 (.f64 t t) #s(literal 1/4 binary64))) (exp.f64 (.f64 (*.f64 t t) #s(literal 1/4 binary64))))
(.f64 (exp.f64 (.f64 t (/.f64 (/.f64 t #s(literal 2 binary64)) #s(literal 2 binary64)))) (exp.f64 (*.f64 t (/.f64 (/.f64 t #s(literal 2 binary64)) #s(literal 2 binary64)))))
(.f64 (pow.f64 (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64)))) (sqrt.f64 (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))))
(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 z #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 z #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 z) #s(literal 1/2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (log.f64 z) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (.f64 (log.f64 (.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))))
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (*.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))
(.f64 (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)))

simplify360.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

4092×	`-lowering-.f32`
4092×	`-lowering-.f64`
2268×	`fma-lowering-fma.f32`
2268×	`fma-lowering-fma.f64`
1844×	`sum5-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	136	2253
1	475	1858
2	1782	1708
3	5718	1687
0	8205	1687

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

Inputs
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 y)
(- (* 1/2 x) y)
(- (* 1/2 x) y)
(- (* 1/2 x) y)
(* 1/2 x)
(* x (+ 1/2 (* -1 (/ y x))))
(* x (+ 1/2 (* -1 (/ y x))))
(* x (+ 1/2 (* -1 (/ y x))))
(* 1/2 x)
(* -1 (* x (- (/ y x) 1/2)))
(* -1 (* x (- (/ y x) 1/2)))
(* -1 (* x (- (/ y x) 1/2)))
(* 1/2 x)
(+ (* -1 y) (* 1/2 x))
(+ (* -1 y) (* 1/2 x))
(+ (* -1 y) (* 1/2 x))
(* -1 y)
(* y (- (* 1/2 (/ x y)) 1))
(* y (- (* 1/2 (/ x y)) 1))
(* y (- (* 1/2 (/ x y)) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
1
(+ 1 (* 1/2 (pow t 2)))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))

Outputs
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 z))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (.f64 x (.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(.f64 x (.f64 (sqrt.f64 z) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (.f64 y (sqrt.f64 #s(literal 2 binary64)))) x))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(.f64 x (.f64 (sqrt.f64 z) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (.f64 y (sqrt.f64 #s(literal 2 binary64)))) x))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(.f64 x (.f64 (sqrt.f64 z) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (.f64 y (sqrt.f64 #s(literal 2 binary64)))) x))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (.f64 x (.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(.f64 x (.f64 (sqrt.f64 z) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (.f64 y (sqrt.f64 #s(literal 2 binary64)))) x))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(.f64 x (.f64 (sqrt.f64 z) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (.f64 y (sqrt.f64 #s(literal 2 binary64)))) x))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(.f64 x (.f64 (sqrt.f64 z) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (.f64 y (sqrt.f64 #s(literal 2 binary64)))) x))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (.f64 x (.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 z))))
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(.f64 y (.f64 (sqrt.f64 z) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y))) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))))))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(.f64 y (.f64 (sqrt.f64 z) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y))) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))))))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(.f64 y (.f64 (sqrt.f64 z) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y))) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))))))
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(.f64 y (.f64 (sqrt.f64 z) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y))) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(.f64 y (.f64 (sqrt.f64 z) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y))) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(.f64 y (.f64 (sqrt.f64 z) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y))) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 z))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 z))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 z))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 z))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 z))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 z))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 z))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 z))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (sqrt.f64 z) (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))
(+.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))) (.f64 (.f64 (sqrt.f64 z) (.f64 (.f64 t t) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))) (+.f64 #s(literal 1/2 binary64) (.f64 t (*.f64 t #s(literal 1/8 binary64))))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))))
(+.f64 (.f64 (.f64 t t) (.f64 (.f64 (sqrt.f64 z) (.f64 (.f64 t t) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))) (.f64 (sqrt.f64 z) (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 z))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 z))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 z))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 z))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 z))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 z))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 z))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 z))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(.f64 x (.f64 (sqrt.f64 z) (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) x))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(.f64 x (.f64 (sqrt.f64 z) (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) x))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(.f64 x (.f64 (sqrt.f64 z) (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) x))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(.f64 x (.f64 (sqrt.f64 z) (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) x))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(.f64 x (.f64 (sqrt.f64 z) (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) x))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(.f64 x (.f64 (sqrt.f64 z) (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) x))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z))))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(.f64 y (.f64 (sqrt.f64 z) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) y) (sqrt.f64 #s(literal 2 binary64)))))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(.f64 y (.f64 (sqrt.f64 z) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) y) (sqrt.f64 #s(literal 2 binary64)))))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(.f64 y (.f64 (sqrt.f64 z) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) y) (sqrt.f64 #s(literal 2 binary64)))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(.f64 y (.f64 (sqrt.f64 z) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) y) (sqrt.f64 #s(literal 2 binary64)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(.f64 y (.f64 (sqrt.f64 z) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) y) (sqrt.f64 #s(literal 2 binary64)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(.f64 y (.f64 (sqrt.f64 z) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) y) (sqrt.f64 #s(literal 2 binary64)))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(- (* 1/2 x) y)
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(- (* 1/2 x) y)
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(- (* 1/2 x) y)
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1 (/ y x))))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(* x (+ 1/2 (* -1 (/ y x))))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(* x (+ 1/2 (* -1 (/ y x))))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* -1 (* x (- (/ y x) 1/2)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(* -1 (* x (- (/ y x) 1/2)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(* -1 (* x (- (/ y x) 1/2)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(+ (* -1 y) (* 1/2 x))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(+ (* -1 y) (* 1/2 x))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(+ (* -1 y) (* 1/2 x))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (* 1/2 (/ x y)) 1))
(.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) y)))
(* y (- (* 1/2 (/ x y)) 1))
(.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) y)))
(* y (- (* 1/2 (/ x y)) 1))
(.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) y)))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(.f64 y (+.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))))
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(.f64 y (+.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))))
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(.f64 y (+.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow t 2)))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)) #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t #s(literal 1/8 binary64))))))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64))))))))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(* (sqrt z) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))
(* (sqrt z) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))
(* (sqrt z) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))
(* (sqrt z) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))
(* (sqrt z) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))
(* (sqrt z) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))
(* (sqrt z) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))
(* (sqrt z) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))

eval84.0ms (0.5%)

Compiler: Compiled 18071 to 1475 computations (91.8% saved)

prune83.0ms (0.5%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	482	13	495
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	483	13	496

Accuracy

100.0%

Counts

496 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.7%	(/.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
	73.1%	(.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (/.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y)))
▶	99.8%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))))
▶	15.3%	(.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 y (.f64 y y))) (/.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (*.f64 x #s(literal 1/2 binary64)) y)))))
	99.6%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
	71.0%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
	87.7%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)) #s(literal 1 binary64)))
▶	96.6%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))))
	94.4%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t #s(literal 1/8 binary64)))))))
▶	57.9%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
	56.5%	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x (.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
▶	89.3%	(.f64 (sqrt.f64 z) (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))))
	57.8%	(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))

Compiler

Compiled 636 to 454 computations (28.6% saved)

simplify269.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64))
✓	cost-diff	0	(+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 y (*.f64 y y)))
✓	cost-diff	0	(.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 y (.f64 y y))) (/.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (*.f64 x #s(literal 1/2 binary64)) y)))))
✓	cost-diff	0	(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)) #s(literal 1 binary64))
✓	cost-diff	0	(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
✓	cost-diff	0	(sqrt.f64 z)
✓	cost-diff	0	(.f64 (sqrt.f64 z) (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))))
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
✓	cost-diff	0	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
✓	cost-diff	0	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))))
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
✓	cost-diff	0	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
✓	cost-diff	128	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
✓	cost-diff	0	(sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
✓	cost-diff	0	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))))

Rules

3894×	`-lowering-.f32`
3894×	`-lowering-.f64`
2400×	`fma-lowering-fma.f32`
2400×	`fma-lowering-fma.f64`
2190×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	52	450
1	143	438
2	447	438
3	1726	438
4	6043	438
5	7927	438
0	8562	438

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (- (* x 1/2) y) (sqrt (* z (* 2 (exp (* t t))))))
(- (* x 1/2) y)
(* x 1/2)
x
1/2
y
(sqrt (* z (* 2 (exp (* t t)))))
(* z (* 2 (exp (* t t))))
z
(* 2 (exp (* t t)))
2
(exp (* t t))
(* t t)
t
(* (* (- (* x 1/2) y) (sqrt (* z 2))) 1)
(* (- (* x 1/2) y) (sqrt (* z 2)))
(- (* x 1/2) y)
(* x 1/2)
x
1/2
y
(sqrt (* z 2))
(* z 2)
z
2
1
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (+ 1 (* (* t t) (+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48))))))))
(* (- (* x 1/2) y) (sqrt (* z 2)))
(- (* x 1/2) y)
(* x 1/2)
x
1/2
y
(sqrt (* z 2))
(* z 2)
z
2
(+ 1 (* (* t t) (+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48)))))))
1
(* (* t t) (+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48))))))
(* t t)
t
(+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48)))))
(* (* t t) (+ 1/8 (* t (* t 1/48))))
(+ 1/8 (* t (* t 1/48)))
1/8
(* t (* t 1/48))
(* t 1/48)
1/48
(* (sqrt z) (* (+ (* 1/2 (* t t)) 1) (* (sqrt 2) (- (* 1/2 x) y))))
(sqrt z)
z
(* (+ (* 1/2 (* t t)) 1) (* (sqrt 2) (- (* 1/2 x) y)))
(+ (* 1/2 (* t t)) 1)
(* 1/2 (* t t))
1/2
(* t t)
t
1
(* (sqrt 2) (- (* 1/2 x) y))
(sqrt 2)
2
(- (* 1/2 x) y)
(* 1/2 x)
x
y
(* (+ (* (* x (* x x)) 1/8) (* y (* y y))) (/ (sqrt (* z (* 2 (exp (* t t))))) (+ (* x (* x 1/4)) (* y (+ (* x 1/2) y)))))
(+ (* (* x (* x x)) 1/8) (* y (* y y)))
(* (* x (* x x)) 1/8)
(* x (* x x))
x
(* x x)
1/8
(* y (* y y))
y
(* y y)
(/ (sqrt (* z (* 2 (exp (* t t))))) (+ (* x (* x 1/4)) (* y (+ (* x 1/2) y))))
(sqrt (* z (* 2 (exp (* t t)))))
(* z (* 2 (exp (* t t))))
z
(* 2 (exp (* t t)))
2
(exp (* t t))
(* t t)
t
(+ (* x (* x 1/4)) (* y (+ (* x 1/2) y)))
(* x (* x 1/4))
(* x 1/4)
1/4
(* y (+ (* x 1/2) y))
(+ (* x 1/2) y)
(* x 1/2)
1/2

Outputs
(* (- (* x 1/2) y) (sqrt (* z (* 2 (exp (* t t))))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (*.f64 z #s(literal 2 binary64)))))
(- (* x 1/2) y)
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
x
1/2
#s(literal 1/2 binary64)
y
(sqrt (* z (* 2 (exp (* t t)))))
(sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (*.f64 z #s(literal 2 binary64))))
(* z (* 2 (exp (* t t))))
(.f64 (exp.f64 (.f64 t t)) (*.f64 z #s(literal 2 binary64)))
z
(* 2 (exp (* t t)))
(.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t)))
2
#s(literal 2 binary64)
(exp (* t t))
(exp.f64 (*.f64 t t))
(* t t)
(*.f64 t t)
t
(* (* (- (* x 1/2) y) (sqrt (* z 2))) 1)
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(* (- (* x 1/2) y) (sqrt (* z 2)))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(- (* x 1/2) y)
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
x
1/2
#s(literal 1/2 binary64)
y
(sqrt (* z 2))
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(* z 2)
(*.f64 z #s(literal 2 binary64))
z
2
#s(literal 2 binary64)
1
#s(literal 1 binary64)
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (+ 1 (* (* t t) (+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48))))))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))))))
(* (- (* x 1/2) y) (sqrt (* z 2)))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(- (* x 1/2) y)
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
x
1/2
#s(literal 1/2 binary64)
y
(sqrt (* z 2))
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(* z 2)
(*.f64 z #s(literal 2 binary64))
z
2
#s(literal 2 binary64)
(+ 1 (* (* t t) (+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))))))
1
#s(literal 1 binary64)
(* (* t t) (+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48))))))
(.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))))
(* t t)
(*.f64 t t)
t
(+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48)))))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))))
(* (* t t) (+ 1/8 (* t (* t 1/48))))
(.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))
(+ 1/8 (* t (* t 1/48)))
(+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))
1/8
#s(literal 1/8 binary64)
(* t (* t 1/48))
(.f64 (.f64 t t) #s(literal 1/48 binary64))
(* t 1/48)
(*.f64 t #s(literal 1/48 binary64))
1/48
#s(literal 1/48 binary64)
(* (sqrt z) (* (+ (* 1/2 (* t t)) 1) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (sqrt.f64 z) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64)))))
(sqrt z)
(sqrt.f64 z)
z
(* (+ (* 1/2 (* t t)) 1) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))))
(+ (* 1/2 (* t t)) 1)
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(* 1/2 (* t t))
(.f64 #s(literal 1/2 binary64) (.f64 t t))
1/2
#s(literal 1/2 binary64)
(* t t)
(*.f64 t t)
t
1
#s(literal 1 binary64)
(* (sqrt 2) (- (* 1/2 x) y))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(- (* 1/2 x) y)
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
x
y
(* (+ (* (* x (* x x)) 1/8) (* y (* y y))) (/ (sqrt (* z (* 2 (exp (* t t))))) (+ (* x (* x 1/4)) (* y (+ (* x 1/2) y)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 z #s(literal 2 binary64)))) (+.f64 (.f64 x (.f64 #s(literal 1/8 binary64) (.f64 x x))) (.f64 y (.f64 y y)))) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(+ (* (* x (* x x)) 1/8) (* y (* y y)))
(+.f64 (.f64 x (.f64 #s(literal 1/8 binary64) (.f64 x x))) (.f64 y (*.f64 y y)))
(* (* x (* x x)) 1/8)
(.f64 x (.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(* x (* x x))
(.f64 x (.f64 x x))
x
(* x x)
(*.f64 x x)
1/8
#s(literal 1/8 binary64)
(* y (* y y))
(.f64 y (.f64 y y))
y
(* y y)
(*.f64 y y)
(/ (sqrt (* z (* 2 (exp (* t t))))) (+ (* x (* x 1/4)) (* y (+ (* x 1/2) y))))
(/.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 z #s(literal 2 binary64)))) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(sqrt (* z (* 2 (exp (* t t)))))
(sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (*.f64 z #s(literal 2 binary64))))
(* z (* 2 (exp (* t t))))
(.f64 (exp.f64 (.f64 t t)) (*.f64 z #s(literal 2 binary64)))
z
(* 2 (exp (* t t)))
(.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t)))
2
#s(literal 2 binary64)
(exp (* t t))
(exp.f64 (*.f64 t t))
(* t t)
(*.f64 t t)
t
(+ (* x (* x 1/4)) (* y (+ (* x 1/2) y)))
(+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(* x (* x 1/4))
(.f64 x (.f64 x #s(literal 1/4 binary64)))
(* x 1/4)
(*.f64 x #s(literal 1/4 binary64))
1/4
#s(literal 1/4 binary64)
(* y (+ (* x 1/2) y))
(.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y))
(+ (* x 1/2) y)
(+.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)

localize316.0ms (1.8%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	97.5%	(+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y)))
✓	accuracy	92.5%	(+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 y (*.f64 y y)))
✓	accuracy	76.0%	(/.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
✓	accuracy	62.1%	(.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 y (.f64 y y))) (/.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (*.f64 x #s(literal 1/2 binary64)) y)))))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.3%	(.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))
✓	accuracy	97.1%	(.f64 (sqrt.f64 z) (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))))
✓	accuracy	96.6%	(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
✓	accuracy	99.8%	(.f64 t (.f64 t #s(literal 1/48 binary64)))
✓	accuracy	99.6%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
✓	accuracy	99.4%	(*.f64 t #s(literal 1/48 binary64))
✓	accuracy	99.2%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))))
✓	accuracy	100.0%	(*.f64 z #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓	accuracy	99.6%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
✓	accuracy	100.0%	(sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))
✓	accuracy	100.0%	(exp.f64 (*.f64 t t))
✓	accuracy	100.0%	(.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))
✓	accuracy	99.8%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))))

Results

175.0ms

256×

valid

Compiler

Compiled 496 to 53 computations (89.3% saved)

Precisions

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

ival-mult: 44.0ms (59.2% of total)

ival-add: 8.0ms (10.8% of total)

ival-sqrt: 8.0ms (10.8% of total)

ival-sub: 5.0ms (6.7% of total)

...c/correct-round.rkt:119:19: 5.0ms (6.7% of total)

ival-div: 2.0ms (2.7% of total)

ival-exp: 2.0ms (2.7% of total)

const: 1.0ms (1.3% of total)

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

series88.0ms (0.5%)

Counts

25 → 612

Calls

Call 1

Inputs
#<alt (* (- (* x 1/2) y) (sqrt (* z (* 2 (exp (* t t))))))>
#<alt (- (* x 1/2) y)>
#<alt (* x 1/2)>
#<alt (sqrt (* z (* 2 (exp (* t t)))))>
#<alt (* (* (- (* x 1/2) y) (sqrt (* z 2))) 1)>
#<alt (* (- (* x 1/2) y) (sqrt (* z 2)))>
#<alt (* (* (- (* x 1/2) y) (sqrt (* z 2))) (+ 1 (* (* t t) (+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48))))))))>
#<alt (* (sqrt z) (* (+ (* 1/2 (* t t)) 1) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (sqrt z)>
#<alt (* (+ (* 1/2 (* t t)) 1) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (+ (* 1/2 (* t t)) 1)>
#<alt (* (+ (* (* x (* x x)) 1/8) (* y (* y y))) (/ (sqrt (* z (* 2 (exp (* t t))))) (+ (* x (* x 1/4)) (* y (+ (* x 1/2) y)))))>
#<alt (+ (* (* x (* x x)) 1/8) (* y (* y y)))>
#<alt (* (* x (* x x)) 1/8)>
#<alt (* x (* x x))>
#<alt (* z (* 2 (exp (* t t))))>
#<alt (exp (* t t))>
#<alt (sqrt (* z 2))>
#<alt (* z 2)>
#<alt (* t 1/48)>
#<alt (* t (* t 1/48))>
#<alt (* (sqrt 2) (- (* 1/2 x) y))>
#<alt (sqrt 2)>
#<alt (/ (sqrt (* z (* 2 (exp (* t t))))) (+ (* x (* x 1/4)) (* y (+ (* x 1/2) y))))>
#<alt (+ (* x (* x 1/4)) (* y (+ (* x 1/2) y)))>

Outputs
#<alt (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))>
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))>
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#<alt (/ (+ (* -1 (* (/ (+ (* -1/4 (* (pow x 2) (sqrt 2))) (* 1/4 (* (pow x 2) (sqrt 2)))) (pow y 2)) (sqrt (* z (exp (pow t 2)))))) (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))) (pow y 2))>
#<alt (/ (+ (* -1 (* (/ (+ (* -1/2 (* x (+ (* -1/4 (* (pow x 2) (sqrt 2))) (* 1/4 (* (pow x 2) (sqrt 2)))))) (* -1/8 (* (pow x 3) (sqrt 2)))) (pow y 3)) (sqrt (* z (exp (pow t 2)))))) (+ (* -1 (* (/ (+ (* -1/4 (* (pow x 2) (sqrt 2))) (* 1/4 (* (pow x 2) (sqrt 2)))) (pow y 2)) (sqrt (* z (exp (pow t 2)))))) (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) (pow y 2))>
#<alt (* (/ (sqrt 2) (pow y 2)) (sqrt (* z (exp (pow t 2)))))>
#<alt (/ (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (pow y 2))>
#<alt (/ (+ (* -1 (/ (+ (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* (/ (+ (* -1/4 (* (pow x 2) (sqrt 2))) (* 1/4 (* (pow x 2) (sqrt 2)))) y) (sqrt (* z (exp (pow t 2)))))) y)) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (pow y 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (+ (* -1/4 (* (pow x 2) (sqrt 2))) (* 1/4 (* (pow x 2) (sqrt 2)))))) (* (/ (+ (* 1/8 (* (pow x 3) (sqrt 2))) (* 1/2 (* x (+ (* -1/4 (* (pow x 2) (sqrt 2))) (* 1/4 (* (pow x 2) (sqrt 2))))))) y) (sqrt (* z (exp (pow t 2)))))) y)) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) y)) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (pow y 2))>
#<alt (pow y 2)>
#<alt (+ (* 1/2 (* x y)) (pow y 2))>
#<alt (+ (* x (+ (* 1/4 x) (* 1/2 y))) (pow y 2))>
#<alt (+ (* x (+ (* 1/4 x) (* 1/2 y))) (pow y 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (+ 1/4 (* 1/2 (/ y x))))>
#<alt (* (pow x 2) (+ 1/4 (+ (* 1/2 (/ y x)) (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/4 (+ (* 1/2 (/ y x)) (/ (pow y 2) (pow x 2)))))>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (+ 1/4 (* 1/2 (/ y x))))>
#<alt (* (pow x 2) (+ 1/4 (* -1 (/ (+ (* -1 (/ (pow y 2) x)) (* -1/2 y)) x))))>
#<alt (* (pow x 2) (+ 1/4 (* -1 (/ (+ (* -1 (/ (pow y 2) x)) (* -1/2 y)) x))))>
#<alt (* 1/4 (pow x 2))>
#<alt (+ (* 1/4 (pow x 2)) (* 1/2 (* x y)))>
#<alt (+ (* 1/4 (pow x 2)) (* y (+ y (* 1/2 x))))>
#<alt (+ (* 1/4 (pow x 2)) (* y (+ y (* 1/2 x))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* 1/2 (/ x y))))>
#<alt (* (pow y 2) (+ 1 (+ (* 1/4 (/ (pow x 2) (pow y 2))) (* 1/2 (/ x y)))))>
#<alt (* (pow y 2) (+ 1 (+ (* 1/4 (/ (pow x 2) (pow y 2))) (* 1/2 (/ x y)))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* 1/2 (/ x y))))>
#<alt (* (pow y 2) (+ 1 (* -1 (/ (+ (* -1/2 x) (* -1/4 (/ (pow x 2) y))) y))))>
#<alt (* (pow y 2) (+ 1 (* -1 (/ (+ (* -1/2 x) (* -1/4 (/ (pow x 2) y))) y))))>

Calls

153 calls:

Time	Variable		Point	Expression
6.0ms	y	@	-inf	(* (sqrt z) (* (+ (* 1/2 (* t t)) 1) (* (sqrt 2) (- (* 1/2 x) y))))
4.0ms	z	@	0	(* (- (* x 1/2) y) (sqrt (* z (* 2 (exp (* t t))))))
3.0ms	t	@	0	(* (- (* x 1/2) y) (sqrt (* z (* 2 (exp (* t t))))))
3.0ms	t	@	inf	(* (+ (* (* x (* x x)) 1/8) (* y (* y y))) (/ (sqrt (* z (* 2 (exp (* t t))))) (+ (* x (* x 1/4)) (* y (+ (* x 1/2) y)))))
3.0ms	x	@	0	(* (sqrt z) (* (+ (* 1/2 (* t t)) 1) (* (sqrt 2) (- (* 1/2 x) y))))

rewrite398.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3986×	`-lowering-.f32`
3986×	`-lowering-.f64`
2968×	`/-lowering-/.f32`
2968×	`/-lowering-/.f64`
2142×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	52	230
1	258	226
2	2185	226
0	8732	226

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 608

Calls

Call 1

Inputs
(* (- (* x 1/2) y) (sqrt (* z (* 2 (exp (* t t))))))
(- (* x 1/2) y)
(* x 1/2)
(sqrt (* z (* 2 (exp (* t t)))))
(* (* (- (* x 1/2) y) (sqrt (* z 2))) 1)
(* (- (* x 1/2) y) (sqrt (* z 2)))
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (+ 1 (* (* t t) (+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48))))))))
(* (sqrt z) (* (+ (* 1/2 (* t t)) 1) (* (sqrt 2) (- (* 1/2 x) y))))
(sqrt z)
(* (+ (* 1/2 (* t t)) 1) (* (sqrt 2) (- (* 1/2 x) y)))
(+ (* 1/2 (* t t)) 1)
(* (+ (* (* x (* x x)) 1/8) (* y (* y y))) (/ (sqrt (* z (* 2 (exp (* t t))))) (+ (* x (* x 1/4)) (* y (+ (* x 1/2) y)))))
(+ (* (* x (* x x)) 1/8) (* y (* y y)))
(* (* x (* x x)) 1/8)
(* x (* x x))
(* z (* 2 (exp (* t t))))
(exp (* t t))
(sqrt (* z 2))
(* z 2)
(* t 1/48)
(* t (* t 1/48))
(* (sqrt 2) (- (* 1/2 x) y))
(sqrt 2)
(/ (sqrt (* z (* 2 (exp (* t t))))) (+ (* x (* x 1/4)) (* y (+ (* x 1/2) y))))
(+ (* x (* x 1/4)) (* y (+ (* x 1/2) y)))

Outputs
(+.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 z #s(literal 2 binary64)))) (.f64 x #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (*.f64 z #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) y)))
(+.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 z #s(literal 2 binary64))))) (.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (*.f64 z #s(literal 2 binary64))))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 z #s(literal 2 binary64)))) (.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 z #s(literal 2 binary64))))))
(fma.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 z #s(literal 2 binary64)))) (.f64 x #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 z #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 z #s(literal 2 binary64)))) (-.f64 (.f64 x (.f64 #s(literal 1/8 binary64) (.f64 x x))) (.f64 y (.f64 y y)))) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(/.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 z #s(literal 2 binary64)))) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y))
(/.f64 (.f64 (-.f64 (.f64 x (.f64 #s(literal 1/8 binary64) (.f64 x x))) (.f64 y (.f64 y y))) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 z #s(literal 2 binary64))))) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(/.f64 (.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 z #s(literal 2 binary64))))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 z #s(literal 2 binary64)))) (-.f64 (.f64 x (.f64 #s(literal 1/8 binary64) (.f64 x x))) (.f64 y (.f64 y y))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (*.f64 x #s(literal 1/2 binary64)) y)))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 z #s(literal 2 binary64)))) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)))) (neg.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 x (.f64 #s(literal 1/8 binary64) (.f64 x x))) (.f64 y (.f64 y y))) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 z #s(literal 2 binary64)))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (*.f64 x #s(literal 1/2 binary64)) y)))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 z #s(literal 2 binary64)))))) (neg.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 z #s(literal 2 binary64)))) (.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 z #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) y)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 z #s(literal 2 binary64)))) (.f64 x #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 z #s(literal 2 binary64)))) (.f64 x #s(literal 1/2 binary64)))) (-.f64 (.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 z #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) y)) (.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 z #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) y))) (.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 z #s(literal 2 binary64)))) (.f64 x #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (*.f64 z #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) y))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 z #s(literal 2 binary64))))) (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 z #s(literal 2 binary64)))))) (-.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 z #s(literal 2 binary64))))) (.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 z #s(literal 2 binary64)))))) (.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 z #s(literal 2 binary64))))) (.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (*.f64 z #s(literal 2 binary64)))))))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (*.f64 z #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 z #s(literal 2 binary64)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))
(.f64 (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (+.f64 (.f64 x (.f64 #s(literal 1/8 binary64) (.f64 x x))) (.f64 y (.f64 y y)))) (/.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (-.f64 y (.f64 x #s(literal 1/2 binary64))))))))
(.f64 (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y))) (/.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(.f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 z #s(literal 2 binary64)))) (+.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 x #s(literal 1/2 binary64)) y)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64))))) (/.f64 (-.f64 (.f64 x (.f64 #s(literal 1/8 binary64) (.f64 x x))) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y)) (-.f64 (.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y)) (.f64 x (.f64 x #s(literal 1/4 binary64)))))))))
(.f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 z #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 y (.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y)))))) (/.f64 (-.f64 (.f64 x (.f64 #s(literal 1/8 binary64) (.f64 x x))) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y))))))
(.f64 (/.f64 (-.f64 (.f64 x (.f64 #s(literal 1/8 binary64) (.f64 x x))) (.f64 y (.f64 y y))) (+.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 x #s(literal 1/2 binary64)) y)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64))))) (/.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y)) (-.f64 (.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y)) (.f64 x (.f64 x #s(literal 1/4 binary64)))))))))
(.f64 (/.f64 (-.f64 (.f64 x (.f64 #s(literal 1/8 binary64) (.f64 x x))) (.f64 y (.f64 y y))) (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 y (.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y)))))) (/.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y))))))
(.f64 (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)))) (/.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 z #s(literal 2 binary64)))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(.f64 (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (-.f64 (.f64 x (.f64 #s(literal 1/8 binary64) (.f64 x x))) (.f64 y (.f64 y y))))) (/.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 z #s(literal 2 binary64)))) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (*.f64 x #s(literal 1/2 binary64)) y)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 z #s(literal 2 binary64)))) (+.f64 (.f64 x (.f64 #s(literal 1/8 binary64) (.f64 x x))) (.f64 y (.f64 y y)))) (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (-.f64 y (.f64 x #s(literal 1/2 binary64))))))))
(.f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 z #s(literal 2 binary64)))) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y))) (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(.f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 z #s(literal 2 binary64)))) (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(.f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 z #s(literal 2 binary64)))) (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (-.f64 (.f64 x (.f64 #s(literal 1/8 binary64) (.f64 x x))) (.f64 y (.f64 y y))))) (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (*.f64 x #s(literal 1/2 binary64)) y)))))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) y))
(+.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 x #s(literal 1/2 binary64)))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(-.f64 (/.f64 (.f64 x (.f64 #s(literal 1/8 binary64) (.f64 x x))) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y)))) (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (*.f64 x #s(literal 1/2 binary64)) y)))))
(-.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y)) (/.f64 (.f64 y y) (+.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(-.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) y))) (/.f64 (.f64 y y) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) y))))
(fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) y))
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y))
(fma.f64 #s(literal -1 binary64) y (*.f64 x #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y))) (-.f64 (.f64 x (.f64 #s(literal 1/8 binary64) (.f64 x x))) (.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y))))
(/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (+.f64 (.f64 x #s(literal 1/2 binary64)) y))
(/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (-.f64 (.f64 x (.f64 #s(literal 1/8 binary64) (.f64 x x))) (.f64 y (.f64 y y))) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(/.f64 (-.f64 (.f64 x (.f64 #s(literal 1/8 binary64) (.f64 x x))) (.f64 y (.f64 y y))) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (-.f64 (.f64 y y) (.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) y)))))
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(/.f64 (neg.f64 (neg.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 x #s(literal 1/2 binary64)) y)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64)))))) (neg.f64 (neg.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y)) (-.f64 (.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y)) (.f64 x (*.f64 x #s(literal 1/4 binary64)))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 y (.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y))))))) (neg.f64 (neg.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (*.f64 x #s(literal 1/2 binary64)) y))))))
(/.f64 (neg.f64 (-.f64 (.f64 y (.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y)))) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))))) (neg.f64 (-.f64 (.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y)) (.f64 x (*.f64 x #s(literal 1/4 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 #s(literal 1/8 binary64) (.f64 x x))) (.f64 y (.f64 y y))) (pow.f64 (+.f64 (.f64 y y) (.f64 x (.f64 x #s(literal 1/4 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 y y) (.f64 x (.f64 x #s(literal 1/4 binary64)))) (-.f64 (.f64 (+.f64 (.f64 y y) (.f64 x (.f64 x #s(literal 1/4 binary64)))) (+.f64 (.f64 y y) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 y y) (.f64 x (.f64 x #s(literal 1/4 binary64))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 (.f64 x #s(literal 1/2 binary64)) y)) #s(literal 3 binary64)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (+.f64 (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 (.f64 x #s(literal 1/2 binary64)) y)) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 (.f64 x #s(literal 1/2 binary64)) y))) (-.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 (.f64 x #s(literal 1/2 binary64)) y)) (*.f64 y y)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) #s(literal 3 binary64)) (.f64 (.f64 x (.f64 #s(literal 1/8 binary64) (.f64 x x))) (.f64 y (.f64 y y)))) (+.f64 (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y))) (-.f64 (.f64 (.f64 y y) (.f64 x (.f64 x #s(literal 1/4 binary64)))) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (.f64 (.f64 x #s(literal 1/2 binary64)) y)))))
(pow.f64 (/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y)) (-.f64 (.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y)) (.f64 x (.f64 x #s(literal 1/4 binary64)))))) (+.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 x #s(literal 1/2 binary64)) y)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/64 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y))) (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 y (.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 y (+.f64 (*.f64 x #s(literal 1/2 binary64)) y)))))) #s(literal -1 binary64))
(.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 x #s(literal 1/2 binary64)) y)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y)) (-.f64 (.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y)) (.f64 x (.f64 x #s(literal 1/4 binary64))))))))
(.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 y (.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y)))))

simplify515.0ms (3%)

Algorithm

1×	egg-herbie

Rules

6270×	`-lowering-.f32`
6270×	`-lowering-.f64`
4302×	`+-lowering-+.f64`
4302×	`+-lowering-+.f32`
1316×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	784	12155
1	2887	10968
2	7873	10968
0	8160	10968

Stop Event

1×	iter limit
1×	node limit

Counts

612 → 612

Calls

Call 1

Inputs
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z))))) (sqrt (/ 1 z)))))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z)))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))) (- (* 1/2 x) y)))) (sqrt (/ 1 z)))))))))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* -1 y)
(- (* 1/2 x) y)
(- (* 1/2 x) y)
(- (* 1/2 x) y)
(* 1/2 x)
(* x (+ 1/2 (* -1 (/ y x))))
(* x (+ 1/2 (* -1 (/ y x))))
(* x (+ 1/2 (* -1 (/ y x))))
(* 1/2 x)
(* -1 (* x (- (/ y x) 1/2)))
(* -1 (* x (- (/ y x) 1/2)))
(* -1 (* x (- (/ y x) 1/2)))
(* 1/2 x)
(+ (* -1 y) (* 1/2 x))
(+ (* -1 y) (* 1/2 x))
(+ (* -1 y) (* 1/2 x))
(* -1 y)
(* y (- (* 1/2 (/ x y)) 1))
(* y (- (* 1/2 (/ x y)) 1))
(* y (- (* 1/2 (/ x y)) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1))))
(* (sqrt z) (sqrt 2))
(+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2)))
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z)))) (sqrt (/ 1 z)))))))
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))))) (sqrt (/ 1 z)))))))))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z)))
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))))
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))))
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))))
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z)))
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(* 4 (* (/ (sqrt 2) (pow x 2)) (sqrt (* z (exp (pow t 2))))))
(+ (* -8 (* (/ (* y (sqrt 2)) (pow x 3)) (sqrt (* z (exp (pow t 2)))))) (* 4 (* (/ (sqrt 2) (pow x 2)) (sqrt (* z (exp (pow t 2)))))))
(+ (* 4 (* (/ (sqrt 2) (pow x 2)) (sqrt (* z (exp (pow t 2)))))) (* y (+ (* -8 (* (/ (sqrt 2) (pow x 3)) (sqrt (* z (exp (pow t 2)))))) (* -1 (* (* y (+ (* -16 (/ (sqrt 2) (pow x 4))) (* 16 (/ (sqrt 2) (pow x 4))))) (sqrt (* z (exp (pow t 2)))))))))
(+ (* 4 (* (/ (sqrt 2) (pow x 2)) (sqrt (* z (exp (pow t 2)))))) (* y (+ (* -8 (* (/ (sqrt 2) (pow x 3)) (sqrt (* z (exp (pow t 2)))))) (* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (+ (* -16 (/ (sqrt 2) (pow x 4))) (* 16 (/ (sqrt 2) (pow x 4)))))) (* -1 (* (* y (+ (* -32 (/ (sqrt 2) (pow x 5))) (* -2 (/ (+ (* -16 (/ (sqrt 2) (pow x 4))) (* 16 (/ (sqrt 2) (pow x 4)))) x)))) (sqrt (* z (exp (pow t 2)))))))))))
(* (/ (sqrt 2) (pow y 2)) (sqrt (* z (exp (pow t 2)))))
(/ (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (pow y 2))
(/ (+ (* -1 (* (/ (+ (* -1/4 (* (pow x 2) (sqrt 2))) (* 1/4 (* (pow x 2) (sqrt 2)))) (pow y 2)) (sqrt (* z (exp (pow t 2)))))) (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))) (pow y 2))
(/ (+ (* -1 (* (/ (+ (* -1/2 (* x (+ (* -1/4 (* (pow x 2) (sqrt 2))) (* 1/4 (* (pow x 2) (sqrt 2)))))) (* -1/8 (* (pow x 3) (sqrt 2)))) (pow y 3)) (sqrt (* z (exp (pow t 2)))))) (+ (* -1 (* (/ (+ (* -1/4 (* (pow x 2) (sqrt 2))) (* 1/4 (* (pow x 2) (sqrt 2)))) (pow y 2)) (sqrt (* z (exp (pow t 2)))))) (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) (pow y 2))
(* (/ (sqrt 2) (pow y 2)) (sqrt (* z (exp (pow t 2)))))
(/ (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (pow y 2))
(/ (+ (* -1 (/ (+ (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* (/ (+ (* -1/4 (* (pow x 2) (sqrt 2))) (* 1/4 (* (pow x 2) (sqrt 2)))) y) (sqrt (* z (exp (pow t 2)))))) y)) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (pow y 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (+ (* -1/4 (* (pow x 2) (sqrt 2))) (* 1/4 (* (pow x 2) (sqrt 2)))))) (* (/ (+ (* 1/8 (* (pow x 3) (sqrt 2))) (* 1/2 (* x (+ (* -1/4 (* (pow x 2) (sqrt 2))) (* 1/4 (* (pow x 2) (sqrt 2))))))) y) (sqrt (* z (exp (pow t 2)))))) y)) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) y)) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (pow y 2))
(pow y 2)
(+ (* 1/2 (* x y)) (pow y 2))
(+ (* x (+ (* 1/4 x) (* 1/2 y))) (pow y 2))
(+ (* x (+ (* 1/4 x) (* 1/2 y))) (pow y 2))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* 1/2 (/ y x))))
(* (pow x 2) (+ 1/4 (+ (* 1/2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1/4 (+ (* 1/2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* 1/2 (/ y x))))
(* (pow x 2) (+ 1/4 (* -1 (/ (+ (* -1 (/ (pow y 2) x)) (* -1/2 y)) x))))
(* (pow x 2) (+ 1/4 (* -1 (/ (+ (* -1 (/ (pow y 2) x)) (* -1/2 y)) x))))
(* 1/4 (pow x 2))
(+ (* 1/4 (pow x 2)) (* 1/2 (* x y)))
(+ (* 1/4 (pow x 2)) (* y (+ y (* 1/2 x))))
(+ (* 1/4 (pow x 2)) (* y (+ y (* 1/2 x))))
(pow y 2)
(* (pow y 2) (+ 1 (* 1/2 (/ x y))))
(* (pow y 2) (+ 1 (+ (* 1/4 (/ (pow x 2) (pow y 2))) (* 1/2 (/ x y)))))
(* (pow y 2) (+ 1 (+ (* 1/4 (/ (pow x 2) (pow y 2))) (* 1/2 (/ x y)))))
(pow y 2)
(* (pow y 2) (+ 1 (* 1/2 (/ x y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1/2 x) (* -1/4 (/ (pow x 2) y))) y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1/2 x) (* -1/4 (/ (pow x 2) y))) y))))

Outputs
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (-.f64 #s(literal 0 binary64) (.f64 y (sqrt.f64 #s(literal 2 binary64)))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 (.f64 z (exp.f64 (*.f64 t t)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))))) (.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))))) (.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))))) (.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x))))
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 (.f64 z (exp.f64 (*.f64 t t)))))
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))
(.f64 (+.f64 (.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (/.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) x)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (.f64 z (exp.f64 (*.f64 t t))))) #s(literal -1/2 binary64))) (neg.f64 x))
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))
(.f64 (+.f64 (.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (/.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) x)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (.f64 z (exp.f64 (*.f64 t t))))) #s(literal -1/2 binary64))) (neg.f64 x))
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))
(.f64 (+.f64 (.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (/.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) x)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (.f64 z (exp.f64 (*.f64 t t))))) #s(literal -1/2 binary64))) (neg.f64 x))
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 (.f64 z (exp.f64 (*.f64 t t)))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (-.f64 #s(literal 0 binary64) (.f64 y (sqrt.f64 #s(literal 2 binary64)))))
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))
(.f64 y (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) y) (sqrt.f64 (.f64 z (exp.f64 (.f64 t t))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (.f64 z (exp.f64 (*.f64 t t)))))))
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))
(.f64 y (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) y) (sqrt.f64 (.f64 z (exp.f64 (.f64 t t))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (.f64 z (exp.f64 (*.f64 t t)))))))
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))
(.f64 y (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) y) (sqrt.f64 (.f64 z (exp.f64 (.f64 t t))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (.f64 z (exp.f64 (*.f64 t t)))))))
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (-.f64 #s(literal 0 binary64) (.f64 y (sqrt.f64 #s(literal 2 binary64)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(.f64 (.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) y)))) (-.f64 #s(literal 0 binary64) y))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(.f64 (.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) y)))) (-.f64 #s(literal 0 binary64) y))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(.f64 (.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) y)))) (-.f64 #s(literal 0 binary64) y))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(-.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (sqrt.f64 #s(literal -2 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(-.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (sqrt.f64 #s(literal -2 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(-.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (sqrt.f64 #s(literal -2 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(-.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (sqrt.f64 #s(literal -2 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(literal -1 binary64))))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(.f64 (sqrt.f64 z) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) #s(literal 1/2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z))))) (sqrt (/ 1 z)))))))
(+.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 (.f64 t t) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 (.f64 (.f64 t t) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 z #s(literal 1/4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z)))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))) (- (* 1/2 x) y)))) (sqrt (/ 1 z)))))))))
(+.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 (.f64 t t) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))) (.f64 (.f64 t t) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (+.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 z #s(literal 1/4 binary64))) (.f64 (.f64 t t) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 z #s(literal 1/6 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 z #s(literal 1/4 binary64))))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))))))))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(- (* 1/2 x) y)
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(- (* 1/2 x) y)
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(- (* 1/2 x) y)
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1 (/ y x))))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(* x (+ 1/2 (* -1 (/ y x))))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(* x (+ 1/2 (* -1 (/ y x))))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* -1 (* x (- (/ y x) 1/2)))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(* -1 (* x (- (/ y x) 1/2)))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(* -1 (* x (- (/ y x) 1/2)))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
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(.f64 (.f64 x x) (+.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 y x))) (/.f64 (.f64 y y) (*.f64 x x))))
(* (pow x 2) (+ 1/4 (+ (* 1/2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(.f64 (.f64 x x) (+.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 y x))) (/.f64 (.f64 y y) (*.f64 x x))))
(* 1/4 (pow x 2))
(.f64 #s(literal 1/4 binary64) (.f64 x x))
(* (pow x 2) (+ 1/4 (* 1/2 (/ y x))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(* (pow x 2) (+ 1/4 (* -1 (/ (+ (* -1 (/ (pow y 2) x)) (* -1/2 y)) x))))
(.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (.f64 y #s(literal -1/2 binary64)) (/.f64 (.f64 y y) x)) x)))
(* (pow x 2) (+ 1/4 (* -1 (/ (+ (* -1 (/ (pow y 2) x)) (* -1/2 y)) x))))
(.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (.f64 y #s(literal -1/2 binary64)) (/.f64 (.f64 y y) x)) x)))
(* 1/4 (pow x 2))
(.f64 #s(literal 1/4 binary64) (.f64 x x))
(+ (* 1/4 (pow x 2)) (* 1/2 (* x y)))
(+.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))
(+ (* 1/4 (pow x 2)) (* y (+ y (* 1/2 x))))
(+.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y (+.f64 y (.f64 #s(literal 1/2 binary64) x))))
(+ (* 1/4 (pow x 2)) (* y (+ y (* 1/2 x))))
(+.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y (+.f64 y (.f64 #s(literal 1/2 binary64) x))))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (* 1/2 (/ x y))))
(.f64 (.f64 y y) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* (pow y 2) (+ 1 (+ (* 1/4 (/ (pow x 2) (pow y 2))) (* 1/2 (/ x y)))))
(.f64 (.f64 y y) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) y)) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y))))
(* (pow y 2) (+ 1 (+ (* 1/4 (/ (pow x 2) (pow y 2))) (* 1/2 (/ x y)))))
(.f64 (.f64 y y) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) y)) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y))))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (* 1/2 (/ x y))))
(.f64 (.f64 y y) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1/2 x) (* -1/4 (/ (pow x 2) y))) y))))
(.f64 (.f64 y y) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal -1/4 binary64) (*.f64 x x)) y)) y)))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1/2 x) (* -1/4 (/ (pow x 2) y))) y))))
(.f64 (.f64 y y) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal -1/4 binary64) (*.f64 x x)) y)) y)))

eval245.0ms (1.4%)

Compiler: Compiled 58954 to 2902 computations (95.1% saved)

prune306.0ms (1.8%)

Pruning

35 alts after pruning (35 fresh and 0 done)

	Pruned	Kept	Total
New	1554	32	1586
Fresh	5	3	8
Picked	5	0	5
Done	0	0	0
Total	1564	35	1599

Accuracy

100.0%

Counts

1599 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.5%	(/.f64 (.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y))
	19.3%	(/.f64 (.f64 (-.f64 (.f64 x (.f64 #s(literal 1/8 binary64) (.f64 x x))) (.f64 y (.f64 y y))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
	54.3%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))))) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))))))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 t t) #s(literal 1/48 binary64))))))))
	99.7%	(/.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
	24.8%	(.f64 (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)))) (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y)))
▶	24.8%	(.f64 (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y))) (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
	17.7%	(.f64 (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y))) (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
	14.3%	(.f64 (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (.f64 x (.f64 #s(literal 1/8 binary64) (.f64 x x))) (.f64 y (.f64 y y)))) (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (-.f64 y (.f64 x #s(literal 1/2 binary64))))))))
	96.6%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))))))))
	57.8%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
	91.4%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (+.f64 (.f64 #s(literal 2 binary64) z) (.f64 (.f64 t t) (.f64 z (+.f64 #s(literal 2 binary64) (*.f64 t t)))))))
▶	99.8%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)))))
	84.7%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (+.f64 (*.f64 t t) #s(literal 1 binary64))))))
	95.9%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/6 binary64)))))))))))
	57.9%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
	57.8%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
	69.3%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))))
	45.0%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) #s(literal 1 binary64))
	87.7%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)) #s(literal 1 binary64)))
	94.4%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t #s(literal 1/8 binary64)))))))
	57.8%	(.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
	66.7%	(.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (*.f64 t #s(literal 1/48 binary64)))))))))
	35.9%	(.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
	18.2%	(.f64 (.f64 (.f64 (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (+.f64 (.f64 x (.f64 #s(literal 1/8 binary64) (.f64 x x))) (.f64 y (.f64 y y)))) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (-.f64 y (.f64 x #s(literal 1/2 binary64)))))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
▶	27.4%	(.f64 (.f64 (.f64 (/.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 x (.f64 #s(literal 1/8 binary64) (.f64 x x))) (.f64 y (.f64 y y)))) (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (-.f64 y (.f64 x #s(literal 1/2 binary64)))))))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (*.f64 t #s(literal 1/48 binary64)))))))))
	71.2%	(.f64 (.f64 (.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 1/2 binary64)) y))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))))
	91.5%	(.f64 (.f64 (.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) y))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (*.f64 t #s(literal 1/48 binary64)))))))))
	57.6%	(.f64 (.f64 (.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
	59.8%	(.f64 (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
	53.0%	(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))))
▶	24.9%	(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
	35.9%	(.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (sqrt.f64 z)))
	24.8%	(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 z))
	58.1%	(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))))
	89.3%	(.f64 (sqrt.f64 z) (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)) #s(literal 1 binary64)) (.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))))

Compiler

Compiled 2048 to 1320 computations (35.5% saved)

simplify247.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))))
✓	cost-diff	128	(.f64 (/.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 x (.f64 #s(literal 1/8 binary64) (.f64 x x))) (.f64 y (.f64 y y)))) (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (-.f64 y (.f64 x #s(literal 1/2 binary64))))))))
✓	cost-diff	128	(.f64 (.f64 (/.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 x (.f64 #s(literal 1/8 binary64) (.f64 x x))) (.f64 y (.f64 y y)))) (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (-.f64 y (.f64 x #s(literal 1/2 binary64)))))))) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
✓	cost-diff	128	(.f64 (.f64 (.f64 (/.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 x (.f64 #s(literal 1/8 binary64) (.f64 x x))) (.f64 y (.f64 y y)))) (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (-.f64 y (.f64 x #s(literal 1/2 binary64)))))))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (*.f64 t #s(literal 1/48 binary64)))))))))
✓	cost-diff	0	(-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (*.f64 y y))
✓	cost-diff	128	(/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
✓	cost-diff	1152	(/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)))
✓	cost-diff	1408	(.f64 (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y))) (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal 1/4 binary64)))
✓	cost-diff	0	(-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (*.f64 y y))
✓	cost-diff	0	(.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
✓	cost-diff	0	(/.f64 (.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y))
✓	cost-diff	0	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	0	(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
✓	cost-diff	128	(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
✓	cost-diff	0	(sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t))))
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
✓	cost-diff	0	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)))))

Rules

3418×	`-lowering-.f32`
3418×	`-lowering-.f64`
1854×	`fma-define`
1740×	`sum3-define`
1672×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	56	574
1	168	552
2	539	532
3	2426	532
4	5155	532
0	8251	532

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (- (* x 1/2) y) (sqrt (* z (* 2 (pow (exp t) t)))))
(- (* x 1/2) y)
(* x 1/2)
x
1/2
y
(sqrt (* z (* 2 (pow (exp t) t))))
(* z (* 2 (pow (exp t) t)))
z
(* 2 (pow (exp t) t))
2
(pow (exp t) t)
(exp t)
t
(* (* (* 1/2 x) (sqrt (* z 2))) 1)
(* (* 1/2 x) (sqrt (* z 2)))
(* 1/2 x)
1/2
x
(sqrt (* z 2))
(* z 2)
z
2
1
(/ (* (- (* x (* x 1/4)) (* y y)) (sqrt (* z 2))) (+ (* x 1/2) y))
(* (- (* x (* x 1/4)) (* y y)) (sqrt (* z 2)))
(- (* x (* x 1/4)) (* y y))
(* x (* x 1/4))
x
(* x 1/4)
1/4
(* y y)
y
(sqrt (* z 2))
(* z 2)
z
2
(+ (* x 1/2) y)
(* x 1/2)
1/2
(* (/ (- (* x (* x 1/4)) (* y y)) (- (* x (* x 1/4)) (* y y))) (/ (sqrt (* z 2)) (/ 1 (- (* x 1/2) y))))
(/ (- (* x (* x 1/4)) (* y y)) (- (* x (* x 1/4)) (* y y)))
(- (* x (* x 1/4)) (* y y))
(* x (* x 1/4))
x
(* x 1/4)
1/4
(* y y)
y
(/ (sqrt (* z 2)) (/ 1 (- (* x 1/2) y)))
(sqrt (* z 2))
(* z 2)
z
2
(/ 1 (- (* x 1/2) y))
1
(- (* x 1/2) y)
(* x 1/2)
1/2
(* (* (* (/ (+ (* x 1/2) y) (+ (* x (* 1/8 (* x x))) (* y (* y y)))) (/ (- (* x 1/2) y) (/ 1 (+ (* x (* x 1/4)) (* y (- y (* x 1/2))))))) (sqrt (* z 2))) (+ 1 (* (* t t) (+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48))))))))
(* (* (/ (+ (* x 1/2) y) (+ (* x (* 1/8 (* x x))) (* y (* y y)))) (/ (- (* x 1/2) y) (/ 1 (+ (* x (* x 1/4)) (* y (- y (* x 1/2))))))) (sqrt (* z 2)))
(* (/ (+ (* x 1/2) y) (+ (* x (* 1/8 (* x x))) (* y (* y y)))) (/ (- (* x 1/2) y) (/ 1 (+ (* x (* x 1/4)) (* y (- y (* x 1/2)))))))
(/ (+ (* x 1/2) y) (+ (* x (* 1/8 (* x x))) (* y (* y y))))
(+ (* x 1/2) y)
(* x 1/2)
x
1/2
y
(+ (* x (* 1/8 (* x x))) (* y (* y y)))
(* x (* 1/8 (* x x)))
(* 1/8 (* x x))
1/8
(* x x)
(* y (* y y))
(* y y)
(/ (- (* x 1/2) y) (/ 1 (+ (* x (* x 1/4)) (* y (- y (* x 1/2))))))
(- (* x 1/2) y)
(/ 1 (+ (* x (* x 1/4)) (* y (- y (* x 1/2)))))
1
(+ (* x (* x 1/4)) (* y (- y (* x 1/2))))
(* x (* x 1/4))
(* x 1/4)
1/4
(* y (- y (* x 1/2)))
(- y (* x 1/2))
(sqrt (* z 2))
(* z 2)
z
2
(+ 1 (* (* t t) (+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48)))))))
(* (* t t) (+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48))))))
(* t t)
t
(+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48)))))
(* (* t t) (+ 1/8 (* t (* t 1/48))))
(+ 1/8 (* t (* t 1/48)))
(* t (* t 1/48))
(* t 1/48)
1/48

Outputs
(* (- (* x 1/2) y) (sqrt (* z (* 2 (pow (exp t) t)))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 (pow.f64 (exp.f64 t) t) (.f64 z #s(literal 2 binary64)))))
(- (* x 1/2) y)
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
x
1/2
#s(literal 1/2 binary64)
y
(sqrt (* z (* 2 (pow (exp t) t))))
(sqrt.f64 (.f64 (pow.f64 (exp.f64 t) t) (.f64 z #s(literal 2 binary64))))
(* z (* 2 (pow (exp t) t)))
(.f64 (pow.f64 (exp.f64 t) t) (.f64 z #s(literal 2 binary64)))
z
(* 2 (pow (exp t) t))
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t))
2
#s(literal 2 binary64)
(pow (exp t) t)
(pow.f64 (exp.f64 t) t)
(exp t)
(exp.f64 t)
t
(* (* (* 1/2 x) (sqrt (* z 2))) 1)
(.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(* (* 1/2 x) (sqrt (* z 2)))
(.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
x
(sqrt (* z 2))
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(* z 2)
(*.f64 z #s(literal 2 binary64))
z
2
#s(literal 2 binary64)
1
#s(literal 1 binary64)
(/ (* (- (* x (* x 1/4)) (* y y)) (sqrt (* z 2))) (+ (* x 1/2) y))
(/.f64 (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y))
(* (- (* x (* x 1/4)) (* y y)) (sqrt (* z 2)))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (*.f64 y y)))
(- (* x (* x 1/4)) (* y y))
(-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (*.f64 y y))
(* x (* x 1/4))
(.f64 x (.f64 x #s(literal 1/4 binary64)))
x
(* x 1/4)
(*.f64 x #s(literal 1/4 binary64))
1/4
#s(literal 1/4 binary64)
(* y y)
(*.f64 y y)
y
(sqrt (* z 2))
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(* z 2)
(*.f64 z #s(literal 2 binary64))
z
2
#s(literal 2 binary64)
(+ (* x 1/2) y)
(+.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(* (/ (- (* x (* x 1/4)) (* y y)) (- (* x (* x 1/4)) (* y y))) (/ (sqrt (* z 2)) (/ 1 (- (* x 1/2) y))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(/ (- (* x (* x 1/4)) (* y y)) (- (* x (* x 1/4)) (* y y)))
#s(literal 1 binary64)
(- (* x (* x 1/4)) (* y y))
(-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (*.f64 y y))
(* x (* x 1/4))
(.f64 x (.f64 x #s(literal 1/4 binary64)))
x
(* x 1/4)
(*.f64 x #s(literal 1/4 binary64))
1/4
#s(literal 1/4 binary64)
(* y y)
(*.f64 y y)
y
(/ (sqrt (* z 2)) (/ 1 (- (* x 1/2) y)))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(sqrt (* z 2))
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(* z 2)
(*.f64 z #s(literal 2 binary64))
z
2
#s(literal 2 binary64)
(/ 1 (- (* x 1/2) y))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
1
#s(literal 1 binary64)
(- (* x 1/2) y)
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(* (* (* (/ (+ (* x 1/2) y) (+ (* x (* 1/8 (* x x))) (* y (* y y)))) (/ (- (* x 1/2) y) (/ 1 (+ (* x (* x 1/4)) (* y (- y (* x 1/2))))))) (sqrt (* z 2))) (+ 1 (* (* t t) (+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48))))))))
(.f64 (/.f64 (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))))))) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y)))) (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64))))))))))
(* (* (/ (+ (* x 1/2) y) (+ (* x (* 1/8 (* x x))) (* y (* y y)))) (/ (- (* x 1/2) y) (/ 1 (+ (* x (* x 1/4)) (* y (- y (* x 1/2))))))) (sqrt (* z 2)))
(/.f64 (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))))))) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (*.f64 y y))))
(* (/ (+ (* x 1/2) y) (+ (* x (* 1/8 (* x x))) (* y (* y y)))) (/ (- (* x 1/2) y) (/ 1 (+ (* x (* x 1/4)) (* y (- y (* x 1/2)))))))
(.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64))))) (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (*.f64 y y))))))
(/ (+ (* x 1/2) y) (+ (* x (* 1/8 (* x x))) (* y (* y y))))
(/.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))))
(+ (* x 1/2) y)
(+.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
x
1/2
#s(literal 1/2 binary64)
y
(+ (* x (* 1/8 (* x x))) (* y (* y y)))
(+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (*.f64 y y)))
(* x (* 1/8 (* x x)))
(.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x x)))
(* 1/8 (* x x))
(.f64 #s(literal 1/8 binary64) (.f64 x x))
1/8
#s(literal 1/8 binary64)
(* x x)
(*.f64 x x)
(* y (* y y))
(.f64 y (.f64 y y))
(* y y)
(*.f64 y y)
(/ (- (* x 1/2) y) (/ 1 (+ (* x (* x 1/4)) (* y (- y (* x 1/2))))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64))))))
(- (* x 1/2) y)
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(/ 1 (+ (* x (* x 1/4)) (* y (- y (* x 1/2)))))
(/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64))))))
1
#s(literal 1 binary64)
(+ (* x (* x 1/4)) (* y (- y (* x 1/2))))
(+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))))
(* x (* x 1/4))
(.f64 x (.f64 x #s(literal 1/4 binary64)))
(* x 1/4)
(*.f64 x #s(literal 1/4 binary64))
1/4
#s(literal 1/4 binary64)
(* y (- y (* x 1/2)))
(.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64))))
(- y (* x 1/2))
(+.f64 y (*.f64 x #s(literal -1/2 binary64)))
(sqrt (* z 2))
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(* z 2)
(*.f64 z #s(literal 2 binary64))
z
2
#s(literal 2 binary64)
(+ 1 (* (* t t) (+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48)))))))
(+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))))
(* (* t t) (+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48))))))
(.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64))))))))
(* t t)
(*.f64 t t)
t
(+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48)))))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64))))))
(* (* t t) (+ 1/8 (* t (* t 1/48))))
(.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))
(+ 1/8 (* t (* t 1/48)))
(+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64))))
(* t (* t 1/48))
(.f64 t (.f64 t #s(literal 1/48 binary64)))
(* t 1/48)
(*.f64 t #s(literal 1/48 binary64))
1/48
#s(literal 1/48 binary64)

localize408.0ms (2.4%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	97.8%	(+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (-.f64 y (.f64 x #s(literal 1/2 binary64)))))
✓	accuracy	92.5%	(+.f64 (.f64 x (.f64 #s(literal 1/8 binary64) (.f64 x x))) (.f64 y (*.f64 y y)))
✓	accuracy	82.6%	(/.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 x (.f64 #s(literal 1/8 binary64) (.f64 x x))) (.f64 y (.f64 y y))))
✓	accuracy	31.4%	(.f64 (/.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 x (.f64 #s(literal 1/8 binary64) (.f64 x x))) (.f64 y (.f64 y y)))) (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (-.f64 y (.f64 x #s(literal 1/2 binary64))))))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
✓	accuracy	99.5%	(/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
✓	accuracy	91.7%	(-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (*.f64 y y))
✓	accuracy	49.3%	(/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)))
✓	accuracy	100.0%	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓	accuracy	95.2%	(.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
✓	accuracy	91.7%	(-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (*.f64 y y))
✓	accuracy	61.2%	(/.f64 (.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y))
✓	accuracy	100.0%	(*.f64 z #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) x)
✓	accuracy	100.0%	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓	accuracy	99.6%	(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
✓	accuracy	100.0%	(exp.f64 t)
✓	accuracy	100.0%	(pow.f64 (exp.f64 t) t)
✓	accuracy	100.0%	(.f64 z (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)))
✓	accuracy	99.8%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)))))

Results

215.0ms

256×

valid

Compiler

Compiled 668 to 57 computations (91.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 104.0ms

ival-mult: 44.0ms (42.4% of total)

ival-sub: 14.0ms (13.5% of total)

ival-div: 13.0ms (12.5% of total)

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

ival-pow: 10.0ms (9.6% of total)

...c/correct-round.rkt:119:19: 4.0ms (3.9% of total)

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

ival-exp: 2.0ms (1.9% of total)

const: 1.0ms (1% of total)

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

series177.0ms (1%)

Counts

27 → 672

Calls

Call 1

Inputs
#<alt (* (- (* x 1/2) y) (sqrt (* z (* 2 (pow (exp t) t)))))>
#<alt (- (* x 1/2) y)>
#<alt (* x 1/2)>
#<alt (sqrt (* z (* 2 (pow (exp t) t))))>
#<alt (* (* (* 1/2 x) (sqrt (* z 2))) 1)>
#<alt (* (* 1/2 x) (sqrt (* z 2)))>
#<alt (* 1/2 x)>
#<alt (sqrt (* z 2))>
#<alt (/ (* (- (* x (* x 1/4)) (* y y)) (sqrt (* z 2))) (+ (* x 1/2) y))>
#<alt (* (- (* x (* x 1/4)) (* y y)) (sqrt (* z 2)))>
#<alt (- (* x (* x 1/4)) (* y y))>
#<alt (* x (* x 1/4))>
#<alt (* (/ (- (* x (* x 1/4)) (* y y)) (- (* x (* x 1/4)) (* y y))) (/ (sqrt (* z 2)) (/ 1 (- (* x 1/2) y))))>
#<alt (/ (- (* x (* x 1/4)) (* y y)) (- (* x (* x 1/4)) (* y y)))>
#<alt (/ (sqrt (* z 2)) (/ 1 (- (* x 1/2) y)))>
#<alt (* (* (* (/ (+ (* x 1/2) y) (+ (* x (* 1/8 (* x x))) (* y (* y y)))) (/ (- (* x 1/2) y) (/ 1 (+ (* x (* x 1/4)) (* y (- y (* x 1/2))))))) (sqrt (* z 2))) (+ 1 (* (* t t) (+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48))))))))>
#<alt (* (* (/ (+ (* x 1/2) y) (+ (* x (* 1/8 (* x x))) (* y (* y y)))) (/ (- (* x 1/2) y) (/ 1 (+ (* x (* x 1/4)) (* y (- y (* x 1/2))))))) (sqrt (* z 2)))>
#<alt (* (/ (+ (* x 1/2) y) (+ (* x (* 1/8 (* x x))) (* y (* y y)))) (/ (- (* x 1/2) y) (/ 1 (+ (* x (* x 1/4)) (* y (- y (* x 1/2)))))))>
#<alt (/ (- (* x 1/2) y) (/ 1 (+ (* x (* x 1/4)) (* y (- y (* x 1/2))))))>
#<alt (* z (* 2 (pow (exp t) t)))>
#<alt (pow (exp t) t)>
#<alt (exp t)>
#<alt (* z 2)>
#<alt (/ 1 (- (* x 1/2) y))>
#<alt (/ (+ (* x 1/2) y) (+ (* x (* 1/8 (* x x))) (* y (* y y))))>
#<alt (+ (* x (* 1/8 (* x x))) (* y (* y y)))>
#<alt (+ (* x (* x 1/4)) (* y (- y (* x 1/2))))>

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

Calls

168 calls:

Time	Variable		Point	Expression
50.0ms	z	@	0	(* (- (* x 1/2) y) (sqrt (* z (* 2 (pow (exp t) t)))))
37.0ms	z	@	0	(* z (* 2 (pow (exp t) t)))
5.0ms	x	@	0	(* (- (* x 1/2) y) (sqrt (* z (* 2 (pow (exp t) t)))))
3.0ms	t	@	0	(* (* (* (/ (+ (* x 1/2) y) (+ (* x (* 1/8 (* x x))) (* y (* y y)))) (/ (- (* x 1/2) y) (/ 1 (+ (* x (* x 1/4)) (* y (- y (* x 1/2))))))) (sqrt (* z 2))) (+ 1 (* (* t t) (+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48))))))))
3.0ms	z	@	inf	(* z (* 2 (pow (exp t) t)))

rewrite433.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3288×	`-lowering-.f32`
3288×	`-lowering-.f64`
2468×	`/-lowering-/.f32`
2468×	`/-lowering-/.f64`
2302×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	56	292
1	332	250
2	3090	216
0	8639	216

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 1276

Calls

Call 1

Inputs
(* (- (* x 1/2) y) (sqrt (* z (* 2 (pow (exp t) t)))))
(- (* x 1/2) y)
(* x 1/2)
(sqrt (* z (* 2 (pow (exp t) t))))
(* (* (* 1/2 x) (sqrt (* z 2))) 1)
(* (* 1/2 x) (sqrt (* z 2)))
(* 1/2 x)
(sqrt (* z 2))
(/ (* (- (* x (* x 1/4)) (* y y)) (sqrt (* z 2))) (+ (* x 1/2) y))
(* (- (* x (* x 1/4)) (* y y)) (sqrt (* z 2)))
(- (* x (* x 1/4)) (* y y))
(* x (* x 1/4))
(* (/ (- (* x (* x 1/4)) (* y y)) (- (* x (* x 1/4)) (* y y))) (/ (sqrt (* z 2)) (/ 1 (- (* x 1/2) y))))
(/ (- (* x (* x 1/4)) (* y y)) (- (* x (* x 1/4)) (* y y)))
(/ (sqrt (* z 2)) (/ 1 (- (* x 1/2) y)))
(* (* (* (/ (+ (* x 1/2) y) (+ (* x (* 1/8 (* x x))) (* y (* y y)))) (/ (- (* x 1/2) y) (/ 1 (+ (* x (* x 1/4)) (* y (- y (* x 1/2))))))) (sqrt (* z 2))) (+ 1 (* (* t t) (+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48))))))))
(* (* (/ (+ (* x 1/2) y) (+ (* x (* 1/8 (* x x))) (* y (* y y)))) (/ (- (* x 1/2) y) (/ 1 (+ (* x (* x 1/4)) (* y (- y (* x 1/2))))))) (sqrt (* z 2)))
(* (/ (+ (* x 1/2) y) (+ (* x (* 1/8 (* x x))) (* y (* y y)))) (/ (- (* x 1/2) y) (/ 1 (+ (* x (* x 1/4)) (* y (- y (* x 1/2)))))))
(/ (- (* x 1/2) y) (/ 1 (+ (* x (* x 1/4)) (* y (- y (* x 1/2))))))
(* z (* 2 (pow (exp t) t)))
(pow (exp t) t)
(exp t)
(* z 2)
(/ 1 (- (* x 1/2) y))
(/ (+ (* x 1/2) y) (+ (* x (* 1/8 (* x x))) (* y (* y y))))
(+ (* x (* 1/8 (* x x))) (* y (* y y)))
(+ (* x (* x 1/4)) (* y (- y (* x 1/2))))

Outputs
(+.f64 (.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))) (.f64 x #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) (-.f64 #s(literal 0 binary64) y)))
(+.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t)))))) (.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))) (.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t)))))))
(fma.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))) (.f64 x #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))) (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y)))) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(/.f64 (.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t)))))) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(/.f64 (.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t)))))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))) (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))))) (neg.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (*.f64 x #s(literal 1/2 binary64)) y)))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)))) (+.f64 (-.f64 #s(literal 0 binary64) y) (.f64 x #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))))) (neg.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (*.f64 x #s(literal 1/2 binary64)) y)))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))))) (+.f64 (-.f64 #s(literal 0 binary64) y) (.f64 x #s(literal -1/2 binary64))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))))
(.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) y))
(+.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 x #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (.f64 (log.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1 binary64))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(-.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y)))) (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (*.f64 x #s(literal 1/2 binary64)) y)))))
(-.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y)) (/.f64 (.f64 y y) (+.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y #s(literal 1 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) y))
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 0 binary64) y))
(fma.f64 #s(literal -1 binary64) y (*.f64 x #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64))))))))
(/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))))) (/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (*.f64 x #s(literal -1/2 binary64)))))))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64))))))) (/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y))) (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))))) (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y))))
(/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (+.f64 (.f64 x #s(literal 1/2 binary64)) y))
(/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64))))))) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (*.f64 y y)))))
(/.f64 (/.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64))))))))
(/.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))))) (/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y))) (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (*.f64 y y))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (*.f64 x #s(literal -1/2 binary64))))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64))))))) (/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))))) (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (neg.f64 (.f64 (/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))))) (/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y)))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) y) (.f64 x #s(literal -1/2 binary64))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64))))))) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (*.f64 y y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y))) (+.f64 (-.f64 #s(literal 0 binary64) y) (.f64 x #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y))) (neg.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) y))))
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(fma.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) x (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (-.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (.f64 x (.f64 x #s(literal 1/4 binary64)))))) (+.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (.f64 y (+.f64 y (*.f64 x #s(literal -1/2 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64))))) (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (.f64 y (+.f64 y (*.f64 x #s(literal -1/2 binary64))))))))
(/.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))))) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (-.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (.f64 x (.f64 x #s(literal 1/4 binary64)))))) (+.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (.f64 y (+.f64 y (*.f64 x #s(literal -1/2 binary64))))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64))))) (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (.f64 y (+.f64 y (*.f64 x #s(literal -1/2 binary64)))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))))) #s(literal -1 binary64))
(/.f64 (+.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64))))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (-.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (.f64 x (*.f64 x #s(literal 1/4 binary64)))))))
(/.f64 (+.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64))))))) (.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (-.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (.f64 x (.f64 x #s(literal 1/4 binary64))))))))
(/.f64 (+.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64))))))) (+.f64 (.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64))))) (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 (.f64 x #s(literal 1/4 binary64)) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))))))))
(/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))))) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (*.f64 x #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))))) (.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))))))) (neg.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (-.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (.f64 x (*.f64 x #s(literal 1/4 binary64))))))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))))))) (neg.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (-.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (.f64 x (.f64 x #s(literal 1/4 binary64)))))))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))))))) (neg.f64 (+.f64 (.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64))))) (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 (.f64 x #s(literal 1/4 binary64)) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64))))))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64))))))) (neg.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (*.f64 x #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64))))))) (neg.f64 (.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64))))))) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64))))) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)))) (-.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (.f64 x (*.f64 x #s(literal 1/4 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))))) (.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64))))) (.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64))))))) (.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64))))) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64))))))))) (neg.f64 (neg.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (-.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (.f64 x (*.f64 x #s(literal 1/4 binary64)))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))))))) (neg.f64 (neg.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (*.f64 x #s(literal -1/2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64))))) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))))) (neg.f64 (-.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (.f64 x (*.f64 x #s(literal 1/4 binary64))))))
(pow.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))))) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (-.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (.f64 x (.f64 x #s(literal 1/4 binary64)))))) (+.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (.f64 y (+.f64 y (*.f64 x #s(literal -1/2 binary64)))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64))))) (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (.f64 y (+.f64 y (*.f64 x #s(literal -1/2 binary64))))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (*.f64 x #s(literal -1/2 binary64))))))
(.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (*.f64 x #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (*.f64 x #s(literal -1/2 binary64)))))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (*.f64 x #s(literal -1/2 binary64))))))))
(.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (*.f64 x #s(literal -1/2 binary64)))))) #s(literal 1 binary64)))
(.f64 (+.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (-.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (.f64 x (.f64 x #s(literal 1/4 binary64))))))))
(.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))))))
(.f64 (pow.f64 (+.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64))))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (-.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (.f64 x (.f64 x #s(literal 1/4 binary64))))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64))))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (*.f64 x #s(literal -1/2 binary64))))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (-.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (.f64 x (.f64 x #s(literal 1/4 binary64))))))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))))))

simplify509.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

5972×	`-lowering-.f32`
5972×	`-lowering-.f64`
4310×	`+-lowering-+.f64`
4310×	`+-lowering-+.f32`
1400×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1191	12866
1	4464	12077
0	8930	12077

Stop Event

1×	iter limit
1×	node limit

Counts

672 → 672

Calls

Call 1

Inputs
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
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(* 1/48 (* (/ (* (pow t 6) (* (sqrt 2) (* (+ y (* 1/2 x)) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (- (* 1/2 x) y))))) (+ (* 1/8 (pow x 3)) (pow y 3))) (sqrt z)))
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(* (pow t 6) (+ (* 1/48 (* (sqrt z) (/ (* (sqrt 2) (* (+ y (* 1/2 x)) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (- (* 1/2 x) y)))) (+ (* 1/8 (pow x 3)) (pow y 3))))) (+ (* 1/8 (* (/ (* (sqrt 2) (* (+ y (* 1/2 x)) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/8 (pow x 3)) (pow y 3)))) (sqrt z))) (* 1/2 (* (/ (* (sqrt 2) (* (+ y (* 1/2 x)) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (- (* 1/2 x) y)))) (* (pow t 4) (+ (* 1/8 (pow x 3)) (pow y 3)))) (sqrt z))))))
(* (pow t 6) (+ (* 1/48 (* (sqrt z) (/ (* (sqrt 2) (* (+ y (* 1/2 x)) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (- (* 1/2 x) y)))) (+ (* 1/8 (pow x 3)) (pow y 3))))) (+ (* 1/8 (* (/ (* (sqrt 2) (* (+ y (* 1/2 x)) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/8 (pow x 3)) (pow y 3)))) (sqrt z))) (+ (* 1/2 (* (/ (* (sqrt 2) (* (+ y (* 1/2 x)) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (- (* 1/2 x) y)))) (* (pow t 4) (+ (* 1/8 (pow x 3)) (pow y 3)))) (sqrt z))) (* (/ (* (sqrt 2) (* (+ y (* 1/2 x)) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (- (* 1/2 x) y)))) (* (pow t 6) (+ (* 1/8 (pow x 3)) (pow y 3)))) (sqrt z))))))
(* 1/48 (* (/ (* (pow t 6) (* (sqrt 2) (* (+ y (* 1/2 x)) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (- (* 1/2 x) y))))) (+ (* 1/8 (pow x 3)) (pow y 3))) (sqrt z)))
(* (pow t 6) (+ (* 1/48 (* (sqrt z) (/ (* (sqrt 2) (* (+ y (* 1/2 x)) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (- (* 1/2 x) y)))) (+ (* 1/8 (pow x 3)) (pow y 3))))) (* 1/8 (* (/ (* (sqrt 2) (* (+ y (* 1/2 x)) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/8 (pow x 3)) (pow y 3)))) (sqrt z)))))
(* (pow t 6) (+ (* 1/48 (* (sqrt z) (/ (* (sqrt 2) (* (+ y (* 1/2 x)) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (- (* 1/2 x) y)))) (+ (* 1/8 (pow x 3)) (pow y 3))))) (+ (* 1/8 (* (/ (* (sqrt 2) (* (+ y (* 1/2 x)) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/8 (pow x 3)) (pow y 3)))) (sqrt z))) (* 1/2 (* (/ (* (sqrt 2) (* (+ y (* 1/2 x)) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (- (* 1/2 x) y)))) (* (pow t 4) (+ (* 1/8 (pow x 3)) (pow y 3)))) (sqrt z))))))
(* (pow t 6) (+ (* 1/48 (* (sqrt z) (/ (* (sqrt 2) (* (+ y (* 1/2 x)) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (- (* 1/2 x) y)))) (+ (* 1/8 (pow x 3)) (pow y 3))))) (+ (* 1/8 (* (/ (* (sqrt 2) (* (+ y (* 1/2 x)) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/8 (pow x 3)) (pow y 3)))) (sqrt z))) (+ (* 1/2 (* (/ (* (sqrt 2) (* (+ y (* 1/2 x)) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (- (* 1/2 x) y)))) (* (pow t 4) (+ (* 1/8 (pow x 3)) (pow y 3)))) (sqrt z))) (* (/ (* (sqrt 2) (* (+ y (* 1/2 x)) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (- (* 1/2 x) y)))) (* (pow t 6) (+ (* 1/8 (pow x 3)) (pow y 3)))) (sqrt z))))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* (/ (* x (* (sqrt 2) (+ (* -1/2 (pow y 3)) (pow y 3)))) (pow y 3)) (sqrt z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* x (+ (* (/ (* x (* (sqrt 2) (+ (* -1/2 (pow y 2)) (* 1/2 (pow y 2))))) (pow y 3)) (sqrt z)) (* (/ (* (sqrt 2) (+ (* -1/2 (pow y 3)) (pow y 3))) (pow y 3)) (sqrt z)))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* x (+ (* x (+ (* (* x (- (/ (* (sqrt 2) (+ (* -1/4 y) (* 1/8 y))) (pow y 3)) (* -1/8 (/ (sqrt 2) (pow y 2))))) (sqrt z)) (* (/ (* (sqrt 2) (+ (* -1/2 (pow y 2)) (* 1/2 (pow y 2)))) (pow y 3)) (sqrt z)))) (* (/ (* (sqrt 2) (+ (* -1/2 (pow y 3)) (pow y 3))) (pow y 3)) (sqrt z)))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* x (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* 8 (* (/ (* (sqrt 2) (+ (* -1/4 y) (* 1/8 y))) x) (sqrt z)))))
(* x (+ (* 1/2 (* (sqrt z) (sqrt 2))) (+ (* 8 (* (/ (* (sqrt 2) (+ (* -1/2 (pow y 2)) (* 1/2 (pow y 2)))) (pow x 2)) (sqrt z))) (* 8 (* (/ (* (sqrt 2) (+ (* -1/4 y) (* 1/8 y))) x) (sqrt z))))))
(* x (+ (* 1/2 (* (sqrt z) (sqrt 2))) (+ (* 8 (* (/ (* (sqrt 2) (+ (* -1/2 (pow y 2)) (* 1/2 (pow y 2)))) (pow x 2)) (sqrt z))) (+ (* 8 (* (/ (* (sqrt 2) (+ (* -1/4 y) (* 1/8 y))) x) (sqrt z))) (* (/ (- (* 8 (* (sqrt 2) (+ (* -1/2 (pow y 3)) (pow y 3)))) (* 4 (* (pow y 3) (sqrt 2)))) (pow x 3)) (sqrt z))))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* -1 (* x (+ (* -8 (* (/ (* (sqrt 2) (+ (* -1/8 y) (* 1/2 (+ (* -1/4 y) (* 1/4 y))))) x) (sqrt z))) (* -1/2 (* (sqrt z) (sqrt 2))))))
(* -1 (* x (+ (* -1 (/ (+ (* -8 (* (/ (* (sqrt 2) (+ (* 1/2 (+ (* -1/2 (pow y 2)) (* 1/2 (pow y 2)))) (* y (+ (* -1/4 y) (* 1/4 y))))) x) (sqrt z))) (* 8 (* (sqrt z) (* (sqrt 2) (+ (* -1/8 y) (* 1/2 (+ (* -1/4 y) (* 1/4 y)))))))) x)) (* -1/2 (* (sqrt z) (sqrt 2))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* 8 (* (sqrt z) (* (sqrt 2) (+ (* 1/2 (+ (* -1/2 (pow y 2)) (* 1/2 (pow y 2)))) (* y (+ (* -1/4 y) (* 1/4 y))))))) (* (/ (- (* -8 (* (sqrt 2) (+ (* 1/2 (pow y 3)) (* y (+ (* -1/2 (pow y 2)) (* 1/2 (pow y 2))))))) (* -4 (* (pow y 3) (sqrt 2)))) x) (sqrt z))) x)) (* 8 (* (sqrt z) (* (sqrt 2) (+ (* -1/8 y) (* 1/2 (+ (* -1/4 y) (* 1/4 y)))))))) x)) (* -1/2 (* (sqrt z) (sqrt 2))))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(+ (* 1/2 (* (* x (sqrt 2)) (sqrt z))) (* 8 (* (/ (* y (* (sqrt 2) (+ (* -1/4 (pow x 3)) (* 1/8 (pow x 3))))) (pow x 3)) (sqrt z))))
(+ (* 1/2 (* (* x (sqrt 2)) (sqrt z))) (* y (+ (* 8 (* (/ (* y (* (sqrt 2) (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))))) (pow x 3)) (sqrt z))) (* 8 (* (/ (* (sqrt 2) (+ (* -1/4 (pow x 3)) (* 1/8 (pow x 3)))) (pow x 3)) (sqrt z))))))
(+ (* 1/2 (* (* x (sqrt 2)) (sqrt z))) (* y (+ (* 8 (* (/ (* (sqrt 2) (+ (* -1/4 (pow x 3)) (* 1/8 (pow x 3)))) (pow x 3)) (sqrt z))) (* y (+ (* 8 (* (/ (* (sqrt 2) (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2)))) (pow x 3)) (sqrt z))) (* (* y (- (* 8 (/ (* (sqrt 2) (+ x (* -1/2 x))) (pow x 3))) (* 4 (/ (sqrt 2) (pow x 2))))) (sqrt z)))))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* (/ (* (sqrt 2) (+ x (* -1/2 x))) y) (sqrt z))))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (+ (* (/ (* (sqrt 2) (+ x (* -1/2 x))) y) (sqrt z)) (* (/ (* (sqrt 2) (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2)))) (pow y 2)) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (+ (* (/ (* (sqrt 2) (+ x (* -1/2 x))) y) (sqrt z)) (+ (* (/ (* (sqrt 2) (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2)))) (pow y 2)) (sqrt z)) (* (/ (- (* (sqrt 2) (+ (* -1/4 (pow x 3)) (* 1/8 (pow x 3)))) (* -1/8 (* (pow x 3) (sqrt 2)))) (pow y 3)) (sqrt z))))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* y (+ (* (sqrt z) (sqrt 2)) (* (/ (* (sqrt 2) (+ (* -1 x) (* 1/2 x))) y) (sqrt z)))))
(* -1 (* y (+ (* -1 (/ (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ (* -1 x) (* 1/2 x))))) (* (/ (* (sqrt 2) (+ (* -1/4 (pow x 2)) (+ (* 1/4 (pow x 2)) (* 1/2 (* x (+ (* -1/2 x) (* 1/2 x))))))) y) (sqrt z))) y)) (* (sqrt z) (sqrt 2)))))
(* -1 (* y (+ (* -1 (/ (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ (* -1 x) (* 1/2 x))))) (* -1 (/ (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ (* -1/4 (pow x 2)) (+ (* 1/4 (pow x 2)) (* 1/2 (* x (+ (* -1/2 x) (* 1/2 x))))))))) (* -1 (* (/ (- (* -1 (* (sqrt 2) (+ (* 1/8 (pow x 3)) (* 1/4 (* (pow x 2) (+ (* -1/2 x) (* 1/2 x))))))) (* -1/8 (* (pow x 3) (sqrt 2)))) y) (sqrt z)))) y))) y)) (* (sqrt z) (sqrt 2)))))
(* (sqrt z) (/ (* (sqrt 2) (* (+ y (* 1/2 x)) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (- (* 1/2 x) y)))) (+ (* 1/8 (pow x 3)) (pow y 3))))
(* (sqrt z) (/ (* (sqrt 2) (* (+ y (* 1/2 x)) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (- (* 1/2 x) y)))) (+ (* 1/8 (pow x 3)) (pow y 3))))
(* (sqrt z) (/ (* (sqrt 2) (* (+ y (* 1/2 x)) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (- (* 1/2 x) y)))) (+ (* 1/8 (pow x 3)) (pow y 3))))
(* (sqrt z) (/ (* (sqrt 2) (* (+ y (* 1/2 x)) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (- (* 1/2 x) y)))) (+ (* 1/8 (pow x 3)) (pow y 3))))
(* (sqrt z) (/ (* (sqrt 2) (* (+ y (* 1/2 x)) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (- (* 1/2 x) y)))) (+ (* 1/8 (pow x 3)) (pow y 3))))
(* (sqrt z) (/ (* (sqrt 2) (* (+ y (* 1/2 x)) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (- (* 1/2 x) y)))) (+ (* 1/8 (pow x 3)) (pow y 3))))
(* (sqrt z) (/ (* (sqrt 2) (* (+ y (* 1/2 x)) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (- (* 1/2 x) y)))) (+ (* 1/8 (pow x 3)) (pow y 3))))
(* (sqrt z) (/ (* (sqrt 2) (* (+ y (* 1/2 x)) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (- (* 1/2 x) y)))) (+ (* 1/8 (pow x 3)) (pow y 3))))
(* -1 (* (sqrt z) (/ (* (sqrt -2) (* (sqrt -1) (* (+ y (* 1/2 x)) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (- (* 1/2 x) y))))) (+ (* 1/8 (pow x 3)) (pow y 3)))))
(* -1 (* (sqrt z) (/ (* (sqrt -2) (* (sqrt -1) (* (+ y (* 1/2 x)) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (- (* 1/2 x) y))))) (+ (* 1/8 (pow x 3)) (pow y 3)))))
(* -1 (* (sqrt z) (/ (* (sqrt -2) (* (sqrt -1) (* (+ y (* 1/2 x)) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (- (* 1/2 x) y))))) (+ (* 1/8 (pow x 3)) (pow y 3)))))
(* -1 (* (sqrt z) (/ (* (sqrt -2) (* (sqrt -1) (* (+ y (* 1/2 x)) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (- (* 1/2 x) y))))) (+ (* 1/8 (pow x 3)) (pow y 3)))))
(* -1 y)
(+ (* -1 y) (* 1/2 x))
(+ (* -1 y) (* 1/2 x))
(+ (* -1 y) (* 1/2 x))
(* 1/2 x)
(* x (+ 1/2 (* 8 (/ (+ (* -1/4 y) (* 1/8 y)) x))))
(* x (+ 1/2 (+ (* 8 (/ (+ (* -1/2 (pow y 2)) (* 1/2 (pow y 2))) (pow x 2))) (* 8 (/ (+ (* -1/4 y) (* 1/8 y)) x)))))
(* x (- (+ 1/2 (+ (* 8 (/ (+ (* -1/2 (pow y 2)) (* 1/2 (pow y 2))) (pow x 2))) (+ (* 8 (/ (+ (* -1/2 (pow y 3)) (pow y 3)) (pow x 3))) (* 8 (/ (+ (* -1/4 y) (* 1/8 y)) x))))) (* 4 (/ (pow y 3) (pow x 3)))))
(* 1/2 x)
(* -1 (* x (- (* -8 (/ (+ (* -1/8 y) (* 1/2 (+ (* -1/4 y) (* 1/4 y)))) x)) 1/2)))
(* -1 (* x (- (* -1 (/ (+ (* -8 (/ (+ (* 1/2 (+ (* -1/2 (pow y 2)) (* 1/2 (pow y 2)))) (* y (+ (* -1/4 y) (* 1/4 y)))) x)) (* 8 (+ (* -1/8 y) (* 1/2 (+ (* -1/4 y) (* 1/4 y)))))) x)) 1/2)))
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (- (+ (* -8 (/ (+ (* 1/2 (pow y 3)) (* y (+ (* -1/2 (pow y 2)) (* 1/2 (pow y 2))))) x)) (* 8 (+ (* 1/2 (+ (* -1/2 (pow y 2)) (* 1/2 (pow y 2)))) (* y (+ (* -1/4 y) (* 1/4 y)))))) (* -4 (/ (pow y 3) x))) x)) (* 8 (+ (* -1/8 y) (* 1/2 (+ (* -1/4 y) (* 1/4 y)))))) x)) 1/2)))
(* 1/2 x)
(+ (* 1/2 x) (* 8 (/ (* y (+ (* -1/4 (pow x 3)) (* 1/8 (pow x 3)))) (pow x 3))))
(+ (* 1/2 x) (* y (+ (* 8 (/ (* y (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2)))) (pow x 3))) (* 8 (/ (+ (* -1/4 (pow x 3)) (* 1/8 (pow x 3))) (pow x 3))))))
(+ (* 1/2 x) (* y (+ (* 8 (/ (+ (* -1/4 (pow x 3)) (* 1/8 (pow x 3))) (pow x 3))) (* y (+ (* 8 (/ (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))) (pow x 3))) (* y (- (* 8 (/ (+ x (* -1/2 x)) (pow x 3))) (* 4 (/ 1 (pow x 2))))))))))
(* -1 y)
(* y (- (+ (* -1/2 (/ x y)) (/ x y)) 1))
(* y (- (+ (* -1/2 (/ x y)) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x y)))) 1))
(* y (- (+ (* -1/2 (/ x y)) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* -1/4 (/ (pow x 3) (pow y 3))) (+ (* 1/8 (/ (pow x 3) (pow y 3))) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x y)))))) (+ 1 (* -1/8 (/ (pow x 3) (pow y 3))))))
(* -1 y)
(* -1 (* y (+ 1 (+ (* -1 (/ x y)) (* 1/2 (/ x y))))))
(* -1 (* y (+ 1 (* -1 (/ (+ (* -1 (+ (* -1 x) (* 1/2 x))) (+ (* -1/4 (/ (pow x 2) y)) (+ (* 1/4 (/ (pow x 2) y)) (* 1/2 (/ (* x (+ (* -1/2 x) (* 1/2 x))) y))))) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ (* -1 (+ (* -1 x) (* 1/2 x))) (* -1 (/ (+ (* -1 (+ (* -1/4 (pow x 2)) (+ (* 1/4 (pow x 2)) (* 1/2 (* x (+ (* -1/2 x) (* 1/2 x))))))) (* -1 (/ (- (* -1 (+ (* 1/8 (pow x 3)) (* 1/4 (* (pow x 2) (+ (* -1/2 x) (* 1/2 x)))))) (* -1/8 (pow x 3))) y))) y))) y)))))
(* -1 (pow y 3))
(+ (* -1 (pow y 3)) (* x (pow y 2)))
(+ (* -1 (pow y 3)) (* x (+ (* -1/2 (* x y)) (pow y 2))))
(+ (* -1 (pow y 3)) (* x (+ (* x (+ (* -1/2 y) (* 1/8 x))) (pow y 2))))
(* 1/8 (pow x 3))
(* (pow x 3) (+ 1/8 (* -1/2 (/ y x))))
(* (pow x 3) (+ 1/8 (+ (* -1/2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(* (pow x 3) (+ 1/8 (+ (* -1 (/ (pow y 3) (pow x 3))) (+ (* -1/2 (/ y x)) (/ (pow y 2) (pow x 2))))))
(* 1/8 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ y x)) 1/8)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1/2 y) (/ (pow y 2) x)) x)) 1/8)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow y 2)) (/ (pow y 3) x)) x)) (* -1/2 y)) x)) 1/8)))
(* 1/8 (pow x 3))
(+ (* -1/2 (* (pow x 2) y)) (* 1/8 (pow x 3)))
(+ (* 1/8 (pow x 3)) (* y (+ (* -1/2 (pow x 2)) (* x y))))
(+ (* 1/8 (pow x 3)) (* y (+ (* -1/2 (pow x 2)) (* y (+ x (* -1 y))))))
(* -1 (pow y 3))
(* (pow y 3) (- (/ x y) 1))
(* (pow y 3) (- (+ (* -1/2 (/ (pow x 2) (pow y 2))) (/ x y)) 1))
(* (pow y 3) (- (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/8 (/ (pow x 3) (pow y 3))) (/ x y))) 1))
(* -1 (pow y 3))
(* -1 (* (pow y 3) (+ 1 (* -1 (/ x y)))))
(* -1 (* (pow y 3) (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) y))) y)))))
(* -1 (* (pow y 3) (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/8 (/ (pow x 3) y)) (* 1/2 (pow x 2))) y))) y)))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* 2 z)
(+ (* 2 z) (* 2 (* (pow t 2) z)))
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) z))))
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (+ z (* 1/3 (* (pow t 2) z)))))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
1
(+ 1 (pow t 2))
(+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2)))))
(+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))
(exp (pow t 2))
(exp (pow t 2))
(exp (pow t 2))
(exp (pow t 2))
(exp (pow t 2))
(exp (pow t 2))
(exp (pow t 2))
(exp (pow t 2))
1
(+ 1 t)
(+ 1 (* t (+ 1 (* 1/2 t))))
(+ 1 (* t (+ 1 (* t (+ 1/2 (* 1/6 t))))))
(exp t)
(exp t)
(exp t)
(exp t)
(exp t)
(exp t)
(exp t)
(exp t)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(/ -1 y)
(- (* -1/2 (/ x (pow y 2))) (/ 1 y))
(- (* x (- (* -1/4 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))
(- (* x (- (* x (- (* -1/8 (/ x (pow y 4))) (* 1/4 (/ 1 (pow y 3))))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))
(/ 2 x)
(/ (+ 2 (* 4 (/ y x))) x)
(/ (- (+ 2 (* 8 (/ (pow y 2) (pow x 2)))) (* -4 (/ y x))) x)
(/ (- (+ 2 (* 16 (/ (pow y 3) (pow x 3)))) (+ (* -8 (/ (pow y 2) (pow x 2))) (* -4 (/ y x)))) x)
(/ 2 x)
(* -1 (/ (- (* -4 (/ y x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow y 2) x)) (* -4 y)) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -16 (/ (pow y 3) x)) (* 8 (pow y 2))) x)) (* -4 y)) x)) 2) x))
(/ 2 x)
(+ (* 4 (/ y (pow x 2))) (* 2 (/ 1 x)))
(+ (* y (+ (* 8 (/ y (pow x 3))) (* 4 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))
(+ (* y (+ (* y (+ (* 16 (/ y (pow x 4))) (* 8 (/ 1 (pow x 3))))) (* 4 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))
(/ -1 y)
(/ (- (* -1/2 (/ x y)) 1) y)
(/ (- (* -1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* 1/2 (/ x y)))) y)
(/ (- (* -1/8 (/ (pow x 3) (pow y 3))) (+ 1 (+ (* 1/4 (/ (pow x 2) (pow y 2))) (* 1/2 (/ x y))))) y)
(/ -1 y)
(* -1 (/ (+ 1 (* 1/2 (/ x y))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1/4 (/ (pow x 2) y)) (* 1/2 x)) y))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow x 3) y)) (* -1/4 (pow x 2))) y)) (* 1/2 x)) y))) y))
(/ 1 (pow y 2))
(+ (* 1/2 (/ x (pow y 3))) (/ 1 (pow y 2)))
(+ (* x (+ (* -1/8 (/ (pow x 2) (pow y 5))) (* 1/2 (/ 1 (pow y 3))))) (/ 1 (pow y 2)))
(+ (* x (+ (* (pow x 2) (- (* -1/16 (/ x (pow y 6))) (* 1/8 (/ 1 (pow y 5))))) (* 1/2 (/ 1 (pow y 3))))) (/ 1 (pow y 2)))
(/ 4 (pow x 2))
(/ (+ 4 (* 8 (/ y x))) (pow x 2))
(/ (+ 4 (+ (* -32 (/ (pow y 3) (pow x 3))) (* 8 (/ y x)))) (pow x 2))
(/ (- (+ 4 (+ (* -64 (/ (pow y 4) (pow x 4))) (* 8 (/ y x)))) (* 32 (/ (pow y 3) (pow x 3)))) (pow x 2))
(/ 4 (pow x 2))
(/ (+ 4 (* 8 (/ y x))) (pow x 2))
(/ (+ 4 (* -1 (/ (+ (* -8 y) (* 32 (/ (pow y 3) (pow x 2)))) x))) (pow x 2))
(/ (+ 4 (* -1 (/ (- (+ (* -8 y) (* 64 (/ (pow y 4) (pow x 3)))) (* -32 (/ (pow y 3) (pow x 2)))) x))) (pow x 2))
(/ 4 (pow x 2))
(+ (* 8 (/ y (pow x 3))) (* 4 (/ 1 (pow x 2))))
(+ (* y (+ (* -32 (/ (pow y 2) (pow x 5))) (* 8 (/ 1 (pow x 3))))) (* 4 (/ 1 (pow x 2))))
(+ (* y (+ (* (pow y 2) (- (* -64 (/ y (pow x 6))) (* 32 (/ 1 (pow x 5))))) (* 8 (/ 1 (pow x 3))))) (* 4 (/ 1 (pow x 2))))
(/ 1 (pow y 2))
(/ (+ 1 (* 1/2 (/ x y))) (pow y 2))
(/ (+ 1 (+ (* -1/8 (/ (pow x 3) (pow y 3))) (* 1/2 (/ x y)))) (pow y 2))
(/ (- (+ 1 (+ (* -1/16 (/ (pow x 4) (pow y 4))) (* 1/2 (/ x y)))) (* 1/8 (/ (pow x 3) (pow y 3)))) (pow y 2))
(/ 1 (pow y 2))
(/ (+ 1 (* 1/2 (/ x y))) (pow y 2))
(/ (+ 1 (* -1 (/ (+ (* -1/2 x) (* 1/8 (/ (pow x 3) (pow y 2)))) y))) (pow y 2))
(/ (+ 1 (* -1 (/ (- (+ (* -1/2 x) (* 1/16 (/ (pow x 4) (pow y 3)))) (* -1/8 (/ (pow x 3) (pow y 2)))) y))) (pow y 2))
(pow y 3)
(+ (* 1/8 (pow x 3)) (pow y 3))
(+ (* 1/8 (pow x 3)) (pow y 3))
(+ (* 1/8 (pow x 3)) (pow y 3))
(* 1/8 (pow x 3))
(* (pow x 3) (+ 1/8 (/ (pow y 3) (pow x 3))))
(* (pow x 3) (+ 1/8 (/ (pow y 3) (pow x 3))))
(* (pow x 3) (+ 1/8 (/ (pow y 3) (pow x 3))))
(* 1/8 (pow x 3))
(* -1 (* (pow x 3) (- (* -1 (/ (pow y 3) (pow x 3))) 1/8)))
(* -1 (* (pow x 3) (- (* -1 (/ (pow y 3) (pow x 3))) 1/8)))
(* -1 (* (pow x 3) (- (* -1 (/ (pow y 3) (pow x 3))) 1/8)))
(* 1/8 (pow x 3))
(+ (* 1/8 (pow x 3)) (pow y 3))
(+ (* 1/8 (pow x 3)) (pow y 3))
(+ (* 1/8 (pow x 3)) (pow y 3))
(pow y 3)
(* (pow y 3) (+ 1 (* 1/8 (/ (pow x 3) (pow y 3)))))
(* (pow y 3) (+ 1 (* 1/8 (/ (pow x 3) (pow y 3)))))
(* (pow y 3) (+ 1 (* 1/8 (/ (pow x 3) (pow y 3)))))
(pow y 3)
(* -1 (* (pow y 3) (- (* -1/8 (/ (pow x 3) (pow y 3))) 1)))
(* -1 (* (pow y 3) (- (* -1/8 (/ (pow x 3) (pow y 3))) 1)))
(* -1 (* (pow y 3) (- (* -1/8 (/ (pow x 3) (pow y 3))) 1)))
(pow y 2)
(+ (* -1/2 (* x y)) (pow y 2))
(+ (* x (+ (* -1/2 y) (* 1/4 x))) (pow y 2))
(+ (* x (+ (* -1/2 y) (* 1/4 x))) (pow y 2))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -1/2 (/ y x))))
(* (pow x 2) (+ 1/4 (+ (* -1/2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1/4 (+ (* -1/2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -1/2 (/ y x))))
(* (pow x 2) (+ 1/4 (* -1 (/ (+ (* -1 (/ (pow y 2) x)) (* 1/2 y)) x))))
(* (pow x 2) (+ 1/4 (* -1 (/ (+ (* -1 (/ (pow y 2) x)) (* 1/2 y)) x))))
(* 1/4 (pow x 2))
(+ (* -1/2 (* x y)) (* 1/4 (pow x 2)))
(+ (* 1/4 (pow x 2)) (* y (+ y (* -1/2 x))))
(+ (* 1/4 (pow x 2)) (* y (+ y (* -1/2 x))))
(pow y 2)
(* (pow y 2) (+ 1 (* -1/2 (/ x y))))
(* (pow y 2) (- (+ 1 (* 1/4 (/ (pow x 2) (pow y 2)))) (* 1/2 (/ x y))))
(* (pow y 2) (- (+ 1 (* 1/4 (/ (pow x 2) (pow y 2)))) (* 1/2 (/ x y))))
(pow y 2)
(* (pow y 2) (+ 1 (* -1/2 (/ x y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1/4 (/ (pow x 2) y)) (* 1/2 x)) y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1/4 (/ (pow x 2) y)) (* 1/2 x)) y))))

Outputs
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (neg.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64)))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (+.f64 (neg.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (+.f64 (neg.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (+.f64 (neg.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
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(* (pow t 6) (+ (* 1/48 (* (sqrt z) (/ (* (sqrt 2) (* (+ y (* 1/2 x)) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (- (* 1/2 x) y)))) (+ (* 1/8 (pow x 3)) (pow y 3))))) (* 1/8 (* (/ (* (sqrt 2) (* (+ y (* 1/2 x)) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/8 (pow x 3)) (pow y 3)))) (sqrt z)))))
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(* (pow t 6) (+ (* 1/48 (* (sqrt z) (/ (* (sqrt 2) (* (+ y (* 1/2 x)) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (- (* 1/2 x) y)))) (+ (* 1/8 (pow x 3)) (pow y 3))))) (+ (* 1/8 (* (/ (* (sqrt 2) (* (+ y (* 1/2 x)) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/8 (pow x 3)) (pow y 3)))) (sqrt z))) (* 1/2 (* (/ (* (sqrt 2) (* (+ y (* 1/2 x)) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (- (* 1/2 x) y)))) (* (pow t 4) (+ (* 1/8 (pow x 3)) (pow y 3)))) (sqrt z))))))
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(* (pow t 6) (+ (* 1/48 (* (sqrt z) (/ (* (sqrt 2) (* (+ y (* 1/2 x)) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (- (* 1/2 x) y)))) (+ (* 1/8 (pow x 3)) (pow y 3))))) (+ (* 1/8 (* (/ (* (sqrt 2) (* (+ y (* 1/2 x)) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/8 (pow x 3)) (pow y 3)))) (sqrt z))) (+ (* 1/2 (* (/ (* (sqrt 2) (* (+ y (* 1/2 x)) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (- (* 1/2 x) y)))) (* (pow t 4) (+ (* 1/8 (pow x 3)) (pow y 3)))) (sqrt z))) (* (/ (* (sqrt 2) (* (+ y (* 1/2 x)) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (- (* 1/2 x) y)))) (* (pow t 6) (+ (* 1/8 (pow x 3)) (pow y 3)))) (sqrt z))))))
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(* 1/48 (* (/ (* (pow t 6) (* (sqrt 2) (* (+ y (* 1/2 x)) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (- (* 1/2 x) y))))) (+ (* 1/8 (pow x 3)) (pow y 3))) (sqrt z)))
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(* (pow t 6) (+ (* 1/48 (* (sqrt z) (/ (* (sqrt 2) (* (+ y (* 1/2 x)) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (- (* 1/2 x) y)))) (+ (* 1/8 (pow x 3)) (pow y 3))))) (* 1/8 (* (/ (* (sqrt 2) (* (+ y (* 1/2 x)) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/8 (pow x 3)) (pow y 3)))) (sqrt z)))))
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(* (pow t 6) (+ (* 1/48 (* (sqrt z) (/ (* (sqrt 2) (* (+ y (* 1/2 x)) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (- (* 1/2 x) y)))) (+ (* 1/8 (pow x 3)) (pow y 3))))) (+ (* 1/8 (* (/ (* (sqrt 2) (* (+ y (* 1/2 x)) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/8 (pow x 3)) (pow y 3)))) (sqrt z))) (* 1/2 (* (/ (* (sqrt 2) (* (+ y (* 1/2 x)) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (- (* 1/2 x) y)))) (* (pow t 4) (+ (* 1/8 (pow x 3)) (pow y 3)))) (sqrt z))))))
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(* (pow t 6) (+ (* 1/48 (* (sqrt z) (/ (* (sqrt 2) (* (+ y (* 1/2 x)) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (- (* 1/2 x) y)))) (+ (* 1/8 (pow x 3)) (pow y 3))))) (+ (* 1/8 (* (/ (* (sqrt 2) (* (+ y (* 1/2 x)) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/8 (pow x 3)) (pow y 3)))) (sqrt z))) (+ (* 1/2 (* (/ (* (sqrt 2) (* (+ y (* 1/2 x)) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (- (* 1/2 x) y)))) (* (pow t 4) (+ (* 1/8 (pow x 3)) (pow y 3)))) (sqrt z))) (* (/ (* (sqrt 2) (* (+ y (* 1/2 x)) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (- (* 1/2 x) y)))) (* (pow t 6) (+ (* 1/8 (pow x 3)) (pow y 3)))) (sqrt z))))))
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(* -1 (* (* y (sqrt 2)) (sqrt z)))
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(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* (/ (* x (* (sqrt 2) (+ (* -1/2 (pow y 3)) (pow y 3)))) (pow y 3)) (sqrt z)))
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(+ (* y (+ (* 8 (/ y (pow x 3))) (* 4 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))
(+.f64 (/.f64 #s(literal 2 binary64) x) (.f64 y (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (/.f64 (.f64 #s(literal 8 binary64) y) (.f64 x (*.f64 x x))))))
(+ (* y (+ (* y (+ (* 16 (/ y (pow x 4))) (* 8 (/ 1 (pow x 3))))) (* 4 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))
(+.f64 (/.f64 #s(literal 2 binary64) x) (.f64 y (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 y (+.f64 (/.f64 (.f64 #s(literal 16 binary64) y) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))))))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ (- (* -1/2 (/ x y)) 1) y)
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) y)
(/ (- (* -1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* 1/2 (/ x y)))) y)
(/.f64 (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) (.f64 y y)) (+.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 x y)))) y)
(/ (- (* -1/8 (/ (pow x 3) (pow y 3))) (+ 1 (+ (* 1/4 (/ (pow x 2) (pow y 2))) (* 1/2 (/ x y))))) y)
(/.f64 (-.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (*.f64 y y))))) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* -1 (/ (+ 1 (* 1/2 (/ x y))) y))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) y)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1/4 (/ (pow x 2) y)) (* 1/2 x)) y))) y))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) y) (*.f64 x #s(literal -1/2 binary64))) y)) (-.f64 #s(literal 0 binary64) y))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow x 3) y)) (* -1/4 (pow x 2))) y)) (* 1/2 x)) y))) y))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) y) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (-.f64 #s(literal 0 binary64) y)) (.f64 x #s(literal -1/2 binary64))) y)) y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(+ (* 1/2 (/ x (pow y 3))) (/ 1 (pow y 2)))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 #s(literal 1/2 binary64) (/.f64 x (.f64 y (.f64 y y)))))
(+ (* x (+ (* -1/8 (/ (pow x 2) (pow y 5))) (* 1/2 (/ 1 (pow y 3))))) (/ 1 (pow y 2)))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 x (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 y (.f64 y y))))))
(+ (* x (+ (* (pow x 2) (- (* -1/16 (/ x (pow y 6))) (* 1/8 (/ 1 (pow y 5))))) (* 1/2 (/ 1 (pow y 3))))) (/ 1 (pow y 2)))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y (.f64 y y))) (.f64 (.f64 x x) (+.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) x) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 5 binary64))))))))
(/ 4 (pow x 2))
(/.f64 #s(literal 4 binary64) (*.f64 x x))
(/ (+ 4 (* 8 (/ y x))) (pow x 2))
(/.f64 (+.f64 #s(literal 4 binary64) (.f64 (/.f64 y x) #s(literal 8 binary64))) (.f64 x x))
(/ (+ 4 (+ (* -32 (/ (pow y 3) (pow x 3))) (* 8 (/ y x)))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 4 binary64) (.f64 (/.f64 y x) #s(literal 8 binary64))) (/.f64 (.f64 #s(literal -32 binary64) (.f64 y (.f64 y y))) (.f64 x (.f64 x x)))) (*.f64 x x))
(/ (- (+ 4 (+ (* -64 (/ (pow y 4) (pow x 4))) (* 8 (/ y x)))) (* 32 (/ (pow y 3) (pow x 3)))) (pow x 2))
(/.f64 (+.f64 (+.f64 (+.f64 #s(literal 4 binary64) (.f64 (/.f64 y x) #s(literal 8 binary64))) (/.f64 (.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal -32 binary64) (.f64 y (.f64 y y))) (.f64 x (.f64 x x)))) (.f64 x x))
(/ 4 (pow x 2))
(/.f64 #s(literal 4 binary64) (*.f64 x x))
(/ (+ 4 (* 8 (/ y x))) (pow x 2))
(/.f64 (+.f64 #s(literal 4 binary64) (.f64 (/.f64 y x) #s(literal 8 binary64))) (.f64 x x))
(/ (+ 4 (* -1 (/ (+ (* -8 y) (* 32 (/ (pow y 3) (pow x 2)))) x))) (pow x 2))
(/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (+.f64 (.f64 y #s(literal -8 binary64)) (/.f64 (.f64 #s(literal 32 binary64) (.f64 y (.f64 y y))) (.f64 x x))) x)) (.f64 x x))
(/ (+ 4 (* -1 (/ (- (+ (* -8 y) (* 64 (/ (pow y 4) (pow x 3)))) (* -32 (/ (pow y 3) (pow x 2)))) x))) (pow x 2))
(/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 (.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 x (.f64 x x))) (+.f64 (.f64 y #s(literal -8 binary64)) (/.f64 (.f64 #s(literal 32 binary64) (.f64 y (.f64 y y))) (.f64 x x)))) x)) (*.f64 x x))
(/ 4 (pow x 2))
(/.f64 #s(literal 4 binary64) (*.f64 x x))
(+ (* 8 (/ y (pow x 3))) (* 4 (/ 1 (pow x 2))))
(+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (/.f64 (.f64 #s(literal 8 binary64) y) (.f64 x (.f64 x x))))
(+ (* y (+ (* -32 (/ (pow y 2) (pow x 5))) (* 8 (/ 1 (pow x 3))))) (* 4 (/ 1 (pow x 2))))
(+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 y (+.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (/.f64 (.f64 #s(literal -32 binary64) (.f64 y y)) (pow.f64 x #s(literal 5 binary64))))))
(+ (* y (+ (* (pow y 2) (- (* -64 (/ y (pow x 6))) (* 32 (/ 1 (pow x 5))))) (* 8 (/ 1 (pow x 3))))) (* 4 (/ 1 (pow x 2))))
(+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 y (+.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 y y) (+.f64 (*.f64 #s(literal -64 binary64) (/.f64 y (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -32 binary64) (pow.f64 x #s(literal 5 binary64))))))))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ (+ 1 (* 1/2 (/ x y))) (pow y 2))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x y))) (.f64 y y))
(/ (+ 1 (+ (* -1/8 (/ (pow x 3) (pow y 3))) (* 1/2 (/ x y)))) (pow y 2))
(/.f64 (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (*.f64 y y))
(/ (- (+ 1 (+ (* -1/16 (/ (pow x 4) (pow y 4))) (* 1/2 (/ x y)))) (* 1/8 (/ (pow x 3) (pow y 3)))) (pow y 2))
(/.f64 (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))))) (.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ (+ 1 (* 1/2 (/ x y))) (pow y 2))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x y))) (.f64 y y))
(/ (+ 1 (* -1 (/ (+ (* -1/2 x) (* 1/8 (/ (pow x 3) (pow y 2)))) y))) (pow y 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y y))) y)) (.f64 y y))
(/ (+ 1 (* -1 (/ (- (+ (* -1/2 x) (* 1/16 (/ (pow x 4) (pow y 3)))) (* -1/8 (/ (pow x 3) (pow y 2)))) y))) (pow y 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y y))) (+.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y y)))) y)) (*.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
(+ (* 1/8 (pow x 3)) (pow y 3))
(+.f64 (.f64 y (.f64 y y)) (.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x x))))
(+ (* 1/8 (pow x 3)) (pow y 3))
(+.f64 (.f64 y (.f64 y y)) (.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x x))))
(+ (* 1/8 (pow x 3)) (pow y 3))
(+.f64 (.f64 y (.f64 y y)) (.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x x))))
(* 1/8 (pow x 3))
(.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/8 (/ (pow y 3) (pow x 3))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/8 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 x (*.f64 x x)))))
(* (pow x 3) (+ 1/8 (/ (pow y 3) (pow x 3))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/8 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 x (*.f64 x x)))))
(* (pow x 3) (+ 1/8 (/ (pow y 3) (pow x 3))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/8 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 x (*.f64 x x)))))
(* 1/8 (pow x 3))
(.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- (* -1 (/ (pow y 3) (pow x 3))) 1/8)))
(.f64 (+.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) #s(literal -1/8 binary64)) (.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x))))
(* -1 (* (pow x 3) (- (* -1 (/ (pow y 3) (pow x 3))) 1/8)))
(.f64 (+.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) #s(literal -1/8 binary64)) (.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x))))
(* -1 (* (pow x 3) (- (* -1 (/ (pow y 3) (pow x 3))) 1/8)))
(.f64 (+.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) #s(literal -1/8 binary64)) (.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x))))
(* 1/8 (pow x 3))
(.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x x)))
(+ (* 1/8 (pow x 3)) (pow y 3))
(+.f64 (.f64 y (.f64 y y)) (.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x x))))
(+ (* 1/8 (pow x 3)) (pow y 3))
(+.f64 (.f64 y (.f64 y y)) (.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x x))))
(+ (* 1/8 (pow x 3)) (pow y 3))
(+.f64 (.f64 y (.f64 y y)) (.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x x))))
(pow y 3)
(.f64 y (.f64 y y))
(* (pow y 3) (+ 1 (* 1/8 (/ (pow x 3) (pow y 3)))))
(.f64 (.f64 y (.f64 y y)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y)))))
(* (pow y 3) (+ 1 (* 1/8 (/ (pow x 3) (pow y 3)))))
(.f64 (.f64 y (.f64 y y)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y)))))
(* (pow y 3) (+ 1 (* 1/8 (/ (pow x 3) (pow y 3)))))
(.f64 (.f64 y (.f64 y y)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y)))))
(pow y 3)
(.f64 y (.f64 y y))
(* -1 (* (pow y 3) (- (* -1/8 (/ (pow x 3) (pow y 3))) 1)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) #s(literal -1 binary64)))
(* -1 (* (pow y 3) (- (* -1/8 (/ (pow x 3) (pow y 3))) 1)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) #s(literal -1 binary64)))
(* -1 (* (pow y 3) (- (* -1/8 (/ (pow x 3) (pow y 3))) 1)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) #s(literal -1 binary64)))
(pow y 2)
(*.f64 y y)
(+ (* -1/2 (* x y)) (pow y 2))
(.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64))))
(+ (* x (+ (* -1/2 y) (* 1/4 x))) (pow y 2))
(+.f64 (.f64 y y) (.f64 x (+.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 x #s(literal 1/4 binary64)))))
(+ (* x (+ (* -1/2 y) (* 1/4 x))) (pow y 2))
(+.f64 (.f64 y y) (.f64 x (+.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 x #s(literal 1/4 binary64)))))
(* 1/4 (pow x 2))
(.f64 #s(literal 1/4 binary64) (.f64 x x))
(* (pow x 2) (+ 1/4 (* -1/2 (/ y x))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x)))
(* (pow x 2) (+ 1/4 (+ (* -1/2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(.f64 (.f64 x x) (+.f64 (/.f64 (.f64 y y) (.f64 x x)) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))))
(* (pow x 2) (+ 1/4 (+ (* -1/2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(.f64 (.f64 x x) (+.f64 (/.f64 (.f64 y y) (.f64 x x)) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))))
(* 1/4 (pow x 2))
(.f64 #s(literal 1/4 binary64) (.f64 x x))
(* (pow x 2) (+ 1/4 (* -1/2 (/ y x))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x)))
(* (pow x 2) (+ 1/4 (* -1 (/ (+ (* -1 (/ (pow y 2) x)) (* 1/2 y)) x))))
(.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (.f64 y #s(literal 1/2 binary64)) (/.f64 (.f64 y y) x)) x)))
(* (pow x 2) (+ 1/4 (* -1 (/ (+ (* -1 (/ (pow y 2) x)) (* 1/2 y)) x))))
(.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (.f64 y #s(literal 1/2 binary64)) (/.f64 (.f64 y y) x)) x)))
(* 1/4 (pow x 2))
(.f64 #s(literal 1/4 binary64) (.f64 x x))
(+ (* -1/2 (* x y)) (* 1/4 (pow x 2)))
(+.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 #s(literal -1/2 binary64) (.f64 y x)))
(+ (* 1/4 (pow x 2)) (* y (+ y (* -1/2 x))))
(+.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))))
(+ (* 1/4 (pow x 2)) (* y (+ y (* -1/2 x))))
(+.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (* -1/2 (/ x y))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 x y))) (*.f64 y y))
(* (pow y 2) (- (+ 1 (* 1/4 (/ (pow x 2) (pow y 2)))) (* 1/2 (/ x y))))
(.f64 (.f64 y y) (+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(* (pow y 2) (- (+ 1 (* 1/4 (/ (pow x 2) (pow y 2)))) (* 1/2 (/ x y))))
(.f64 (.f64 y y) (+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (* -1/2 (/ x y))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 x y))) (*.f64 y y))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1/4 (/ (pow x 2) y)) (* 1/2 x)) y))))
(.f64 (.f64 y y) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 (.f64 (*.f64 x x) #s(literal -1/4 binary64)) y)) y)))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1/4 (/ (pow x 2) y)) (* 1/2 x)) y))))
(.f64 (.f64 y y) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 (.f64 (*.f64 x x) #s(literal -1/4 binary64)) y)) y)))

eval650.0ms (3.7%)

Compiler: Compiled 131352 to 6397 computations (95.1% saved)

prune563.0ms (3.2%)

Pruning

40 alts after pruning (40 fresh and 0 done)

	Pruned	Kept	Total
New	2760	23	2783
Fresh	13	17	30
Picked	5	0	5
Done	0	0	0
Total	2778	40	2818

Accuracy

100.0%

Counts

2818 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	20.4%	(/.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 y (.f64 y (.f64 y y)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) y))
	18.2%	(/.f64 (.f64 (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))))))
	54.3%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))))) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))))))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 t t) #s(literal 1/48 binary64))))))))
	34.1%	(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y))
▶	22.6%	(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) y))
	57.9%	(/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
	57.8%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))))
	57.8%	(.f64 (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)))
	20.6%	(.f64 (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (-.f64 #s(literal 0 binary64) (.f64 y y))) (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
	27.3%	(.f64 (/.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y)))) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64))))) (sqrt.f64 (.f64 z #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))))))
	17.7%	(.f64 (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y))) (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
	46.9%	(.f64 (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y)) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)))
▶	96.6%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))))))
	91.4%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (+.f64 (.f64 #s(literal 2 binary64) z) (.f64 (.f64 t t) (.f64 z (+.f64 #s(literal 2 binary64) (*.f64 t t)))))))
	84.7%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 t t))))))
	95.9%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/6 binary64)))))))))))
	57.9%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
	57.8%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
	69.3%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))))
	87.7%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)) #s(literal 1 binary64)))
	94.4%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t #s(literal 1/8 binary64)))))))
	66.7%	(.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (*.f64 t #s(literal 1/48 binary64)))))))))
	35.9%	(.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
▶	97.0%	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64))))))))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
▶	29.4%	(.f64 (.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y y))) y)) (.f64 y y)) (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (-.f64 y (.f64 x #s(literal 1/2 binary64)))))))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (*.f64 t #s(literal 1/48 binary64)))))))))
	31.9%	(.f64 (.f64 (.f64 (/.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 x (.f64 #s(literal 1/8 binary64) (.f64 x x))) (.f64 y (.f64 y y)))) (/.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64))))) (/.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (-.f64 y (.f64 x #s(literal 1/2 binary64)))))))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (*.f64 t #s(literal 1/48 binary64)))))))))
	35.9%	(.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (-.f64 y (.f64 x #s(literal 1/2 binary64)))))))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))))
	71.2%	(.f64 (.f64 (.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 1/2 binary64)) y))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))))
	30.8%	(.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64))))) (/.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y)))))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))))
	57.6%	(.f64 (.f64 (.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
	59.8%	(.f64 (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
	24.8%	(.f64 (.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
	23.4%	(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) #s(literal 1 binary64))
	24.8%	(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
	53.0%	(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))))
▶	24.9%	(.f64 (.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) x)
	38.4%	(.f64 (.f64 (sqrt.f64 z) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (.f64 #s(literal 8 binary64) (.f64 (.f64 y (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (*.f64 t #s(literal 1/48 binary64)))))))))
	58.1%	(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)))))
	58.1%	(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))))
	89.3%	(.f64 (sqrt.f64 z) (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)) #s(literal 1 binary64)) (.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))))

Compiler

Compiled 2654 to 1708 computations (35.6% saved)

simplify304.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y y))) y)) (.f64 y y))
✓	cost-diff	256	(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y y))) y)) (.f64 y y)) (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (-.f64 y (.f64 x #s(literal 1/2 binary64))))))))
✓	cost-diff	256	(.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y y))) y)) (.f64 y y)) (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (-.f64 y (.f64 x #s(literal 1/2 binary64)))))))) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
✓	cost-diff	256	(.f64 (.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y y))) y)) (.f64 y y)) (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (-.f64 y (.f64 x #s(literal 1/2 binary64)))))))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (*.f64 t #s(literal 1/48 binary64)))))))))
✓	cost-diff	0	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64))))))))))
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
✓	cost-diff	0	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 #s(literal 1/4 binary64) (.f64 x x))
✓	cost-diff	0	(.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
✓	cost-diff	0	(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) y))
✓	cost-diff	0	(*.f64 z #s(literal 2 binary64))
✓	cost-diff	0	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓	cost-diff	0	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64))
✓	cost-diff	0	(.f64 (.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) x)
✓	cost-diff	0	(.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64))))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))))
✓	cost-diff	0	(.f64 (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64))))))))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y))
✓	cost-diff	0	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64))))))))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))

Rules

4398×	`-lowering-.f32`
4398×	`-lowering-.f64`
2206×	`+-lowering-+.f64`
2206×	`+-lowering-+.f32`
1984×	`sum5-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	56	817
1	183	767
2	665	759
3	3279	759
4	6700	759
0	8282	759

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (* (+ 1 (* t (* t (+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48)))))))) (- (* x 1/2) y)) (sqrt (* z 2)))
(* (+ 1 (* t (* t (+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48)))))))) (- (* x 1/2) y))
(+ 1 (* t (* t (+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48))))))))
1
(* t (* t (+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48)))))))
t
(* t (+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48))))))
(+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48)))))
1/2
(* (* t t) (+ 1/8 (* t (* t 1/48))))
(* t t)
(+ 1/8 (* t (* t 1/48)))
1/8
(* t (* t 1/48))
(* t 1/48)
1/48
(- (* x 1/2) y)
(* x 1/2)
x
y
(sqrt (* z 2))
(* z 2)
z
2
(* (* (sqrt (* z 2)) 1/2) x)
(* (sqrt (* z 2)) 1/2)
(sqrt (* z 2))
(* z 2)
z
2
1/2
x
(/ (* (* 1/4 (* x x)) (sqrt (* z 2))) (+ (* x 1/2) y))
(* (* 1/4 (* x x)) (sqrt (* z 2)))
(* 1/4 (* x x))
1/4
(* x x)
x
(sqrt (* z 2))
(* z 2)
z
2
(+ (* x 1/2) y)
(* x 1/2)
1/2
y
(* (- (* x 1/2) y) (* (sqrt (* z 2)) (+ 1 (* t (* t (+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48))))))))))
(- (* x 1/2) y)
(* x 1/2)
x
1/2
y
(* (sqrt (* z 2)) (+ 1 (* t (* t (+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48)))))))))
(sqrt (* z 2))
(* z 2)
z
2
(+ 1 (* t (* t (+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48))))))))
1
(* t (* t (+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48)))))))
t
(* t (+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48))))))
(+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48)))))
(* (* t t) (+ 1/8 (* t (* t 1/48))))
(* t t)
(+ 1/8 (* t (* t 1/48)))
1/8
(* t (* t 1/48))
(* t 1/48)
1/48
(* (* (* (/ (- 1 (/ (+ (* x -1/2) (/ (* 1/8 (* x (* x x))) (* y y))) y)) (* y y)) (/ (- (* x 1/2) y) (/ 1 (+ (* x (* x 1/4)) (* y (- y (* x 1/2))))))) (sqrt (* z 2))) (+ 1 (* (* t t) (+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48))))))))
(* (* (/ (- 1 (/ (+ (* x -1/2) (/ (* 1/8 (* x (* x x))) (* y y))) y)) (* y y)) (/ (- (* x 1/2) y) (/ 1 (+ (* x (* x 1/4)) (* y (- y (* x 1/2))))))) (sqrt (* z 2)))
(* (/ (- 1 (/ (+ (* x -1/2) (/ (* 1/8 (* x (* x x))) (* y y))) y)) (* y y)) (/ (- (* x 1/2) y) (/ 1 (+ (* x (* x 1/4)) (* y (- y (* x 1/2)))))))
(/ (- 1 (/ (+ (* x -1/2) (/ (* 1/8 (* x (* x x))) (* y y))) y)) (* y y))
(- 1 (/ (+ (* x -1/2) (/ (* 1/8 (* x (* x x))) (* y y))) y))
1
(/ (+ (* x -1/2) (/ (* 1/8 (* x (* x x))) (* y y))) y)
(+ (* x -1/2) (/ (* 1/8 (* x (* x x))) (* y y)))
(* x -1/2)
x
-1/2
(/ (* 1/8 (* x (* x x))) (* y y))
(* 1/8 (* x (* x x)))
1/8
(* x (* x x))
(* x x)
(* y y)
y
(/ (- (* x 1/2) y) (/ 1 (+ (* x (* x 1/4)) (* y (- y (* x 1/2))))))
(- (* x 1/2) y)
(* x 1/2)
1/2
(/ 1 (+ (* x (* x 1/4)) (* y (- y (* x 1/2)))))
(+ (* x (* x 1/4)) (* y (- y (* x 1/2))))
(* x (* x 1/4))
(* x 1/4)
1/4
(* y (- y (* x 1/2)))
(- y (* x 1/2))
(sqrt (* z 2))
(* z 2)
z
2
(+ 1 (* (* t t) (+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48)))))))
(* (* t t) (+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48))))))
(* t t)
t
(+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48)))))
(* (* t t) (+ 1/8 (* t (* t 1/48))))
(+ 1/8 (* t (* t 1/48)))
(* t (* t 1/48))
(* t 1/48)
1/48

Outputs
(* (* (+ 1 (* t (* t (+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48)))))))) (- (* x 1/2) y)) (sqrt (* z 2)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))))))) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))))
(* (+ 1 (* t (* t (+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48)))))))) (- (* x 1/2) y))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))))))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))
(+ 1 (* t (* t (+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48))))))))
(+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))))))
1
#s(literal 1 binary64)
(* t (* t (+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48)))))))
(.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))))))
t
(* t (+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48))))))
(.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 t t) #s(literal 1/48 binary64))))))
(+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48)))))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))))
1/2
#s(literal 1/2 binary64)
(* (* t t) (+ 1/8 (* t (* t 1/48))))
(.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))
(* t t)
(*.f64 t t)
(+ 1/8 (* t (* t 1/48)))
(+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))
1/8
#s(literal 1/8 binary64)
(* t (* t 1/48))
(.f64 (.f64 t t) #s(literal 1/48 binary64))
(* t 1/48)
(*.f64 t #s(literal 1/48 binary64))
1/48
#s(literal 1/48 binary64)
(- (* x 1/2) y)
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* x 1/2)
(*.f64 #s(literal 1/2 binary64) x)
x
y
(sqrt (* z 2))
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(* z 2)
(*.f64 z #s(literal 2 binary64))
z
2
#s(literal 2 binary64)
(* (* (sqrt (* z 2)) 1/2) x)
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(* (sqrt (* z 2)) 1/2)
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(sqrt (* z 2))
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(* z 2)
(*.f64 z #s(literal 2 binary64))
z
2
#s(literal 2 binary64)
1/2
#s(literal 1/2 binary64)
x
(/ (* (* 1/4 (* x x)) (sqrt (* z 2))) (+ (* x 1/2) y))
(.f64 x (/.f64 (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 x #s(literal 1/4 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* (* 1/4 (* x x)) (sqrt (* z 2)))
(.f64 x (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 x #s(literal 1/4 binary64))))
(* 1/4 (* x x))
(.f64 x (.f64 x #s(literal 1/4 binary64)))
1/4
#s(literal 1/4 binary64)
(* x x)
(*.f64 x x)
x
(sqrt (* z 2))
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(* z 2)
(*.f64 z #s(literal 2 binary64))
z
2
#s(literal 2 binary64)
(+ (* x 1/2) y)
(+.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* x 1/2)
(*.f64 #s(literal 1/2 binary64) x)
1/2
#s(literal 1/2 binary64)
y
(* (- (* x 1/2) y) (* (sqrt (* z 2)) (+ 1 (* t (* t (+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48))))))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))))))) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))))
(- (* x 1/2) y)
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* x 1/2)
(*.f64 #s(literal 1/2 binary64) x)
x
1/2
#s(literal 1/2 binary64)
y
(* (sqrt (* z 2)) (+ 1 (* t (* t (+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48)))))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))))))) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(sqrt (* z 2))
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(* z 2)
(*.f64 z #s(literal 2 binary64))
z
2
#s(literal 2 binary64)
(+ 1 (* t (* t (+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48))))))))
(+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))))))
1
#s(literal 1 binary64)
(* t (* t (+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48)))))))
(.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))))))
t
(* t (+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48))))))
(.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 t t) #s(literal 1/48 binary64))))))
(+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48)))))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))))
(* (* t t) (+ 1/8 (* t (* t 1/48))))
(.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))
(* t t)
(*.f64 t t)
(+ 1/8 (* t (* t 1/48)))
(+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))
1/8
#s(literal 1/8 binary64)
(* t (* t 1/48))
(.f64 (.f64 t t) #s(literal 1/48 binary64))
(* t 1/48)
(*.f64 t #s(literal 1/48 binary64))
1/48
#s(literal 1/48 binary64)
(* (* (* (/ (- 1 (/ (+ (* x -1/2) (/ (* 1/8 (* x (* x x))) (* y y))) y)) (* y y)) (/ (- (* x 1/2) y) (/ 1 (+ (* x (* x 1/4)) (* y (- y (* x 1/2))))))) (sqrt (* z 2))) (+ 1 (* (* t t) (+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48))))))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))))))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 x x)) (.f64 y y)) #s(literal 1/2 binary64))) y)) (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (-.f64 y (.f64 #s(literal 1/2 binary64) x))))) (*.f64 y y))))
(* (* (/ (- 1 (/ (+ (* x -1/2) (/ (* 1/8 (* x (* x x))) (* y y))) y)) (* y y)) (/ (- (* x 1/2) y) (/ 1 (+ (* x (* x 1/4)) (* y (- y (* x 1/2))))))) (sqrt (* z 2)))
(/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 x x)) (.f64 y y)) #s(literal 1/2 binary64))) y)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) x))))))) y) y)
(* (/ (- 1 (/ (+ (* x -1/2) (/ (* 1/8 (* x (* x x))) (* y y))) y)) (* y y)) (/ (- (* x 1/2) y) (/ 1 (+ (* x (* x 1/4)) (* y (- y (* x 1/2)))))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 x x)) (.f64 y y)) #s(literal 1/2 binary64))) y)) (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (-.f64 y (.f64 #s(literal 1/2 binary64) x))))) (.f64 y y)))
(/ (- 1 (/ (+ (* x -1/2) (/ (* 1/8 (* x (* x x))) (* y y))) y)) (* y y))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 x x)) (.f64 y y)) #s(literal 1/2 binary64))) y)) (*.f64 y y))
(- 1 (/ (+ (* x -1/2) (/ (* 1/8 (* x (* x x))) (* y y))) y))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 x x)) (.f64 y y)) #s(literal 1/2 binary64))) y))
1
#s(literal 1 binary64)
(/ (+ (* x -1/2) (/ (* 1/8 (* x (* x x))) (* y y))) y)
(/.f64 (.f64 x (-.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 x x)) (.f64 y y)) #s(literal 1/2 binary64))) y)
(+ (* x -1/2) (/ (* 1/8 (* x (* x x))) (* y y)))
(.f64 x (-.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 x x)) (.f64 y y)) #s(literal 1/2 binary64)))
(* x -1/2)
(*.f64 x #s(literal -1/2 binary64))
x
-1/2
#s(literal -1/2 binary64)
(/ (* 1/8 (* x (* x x))) (* y y))
(/.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y y))
(* 1/8 (* x (* x x)))
(.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x x)))
1/8
#s(literal 1/8 binary64)
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)
(* y y)
(*.f64 y y)
y
(/ (- (* x 1/2) y) (/ 1 (+ (* x (* x 1/4)) (* y (- y (* x 1/2))))))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (-.f64 y (.f64 #s(literal 1/2 binary64) x)))))
(- (* x 1/2) y)
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* x 1/2)
(*.f64 #s(literal 1/2 binary64) x)
1/2
#s(literal 1/2 binary64)
(/ 1 (+ (* x (* x 1/4)) (* y (- y (* x 1/2)))))
(/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (-.f64 y (.f64 #s(literal 1/2 binary64) x)))))
(+ (* x (* x 1/4)) (* y (- y (* x 1/2))))
(+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (-.f64 y (.f64 #s(literal 1/2 binary64) x))))
(* x (* x 1/4))
(.f64 x (.f64 x #s(literal 1/4 binary64)))
(* x 1/4)
(*.f64 x #s(literal 1/4 binary64))
1/4
#s(literal 1/4 binary64)
(* y (- y (* x 1/2)))
(.f64 y (-.f64 y (.f64 #s(literal 1/2 binary64) x)))
(- y (* x 1/2))
(-.f64 y (*.f64 #s(literal 1/2 binary64) x))
(sqrt (* z 2))
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(* z 2)
(*.f64 z #s(literal 2 binary64))
z
2
#s(literal 2 binary64)
(+ 1 (* (* t t) (+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48)))))))
(+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))))))
(* (* t t) (+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48))))))
(.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))))))
(* t t)
(*.f64 t t)
t
(+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48)))))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))))
(* (* t t) (+ 1/8 (* t (* t 1/48))))
(.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))
(+ 1/8 (* t (* t 1/48)))
(+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))
(* t (* t 1/48))
(.f64 (.f64 t t) #s(literal 1/48 binary64))
(* t 1/48)
(*.f64 t #s(literal 1/48 binary64))
1/48
#s(literal 1/48 binary64)

localize368.0ms (2.1%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	97.8%	(+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (-.f64 y (.f64 x #s(literal 1/2 binary64)))))
✓	accuracy	97.0%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y y))) y)) (.f64 y y))
✓	accuracy	74.0%	(/.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y y))
✓	accuracy	53.1%	(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y y))) y)) (.f64 y y)) (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (-.f64 y (.f64 x #s(literal 1/2 binary64))))))))
✓	accuracy	99.8%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))))))
✓	accuracy	99.8%	(.f64 t (.f64 t #s(literal 1/48 binary64)))
✓	accuracy	99.4%	(*.f64 t #s(literal 1/48 binary64))
✓	accuracy	98.9%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64))))))))))
✓	accuracy	100.0%	(.f64 #s(literal 1/4 binary64) (.f64 x x))
✓	accuracy	100.0%	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓	accuracy	94.1%	(.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
✓	accuracy	74.1%	(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) y))
✓	accuracy	100.0%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(*.f64 z #s(literal 2 binary64))
✓	accuracy	100.0%	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓	accuracy	99.6%	(.f64 (.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) x)
✓	accuracy	99.8%	(.f64 t (.f64 t #s(literal 1/48 binary64)))
✓	accuracy	99.6%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64))))))))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y))
✓	accuracy	99.4%	(*.f64 t #s(literal 1/48 binary64))
✓	accuracy	99.1%	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64))))))))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))

Results

208.0ms

256×

valid

Compiler

Compiled 872 to 57 computations (93.5% saved)

Precisions

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

ival-mult: 46.0ms (59.6% of total)

ival-div: 10.0ms (13% of total)

ival-add: 9.0ms (11.7% of total)

ival-sub: 4.0ms (5.2% of total)

...c/correct-round.rkt:119:19: 4.0ms (5.2% of total)

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

const: 1.0ms (1.3% of total)

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

series100.0ms (0.6%)

Counts

24 → 564

Calls

Call 1

Inputs
#<alt (* (* (+ 1 (* t (* t (+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48)))))))) (- (* x 1/2) y)) (sqrt (* z 2)))>
#<alt (* (+ 1 (* t (* t (+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48)))))))) (- (* x 1/2) y))>
#<alt (+ 1 (* t (* t (+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48))))))))>
#<alt (* t (* t (+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48)))))))>
#<alt (* (* (sqrt (* z 2)) 1/2) x)>
#<alt (* (sqrt (* z 2)) 1/2)>
#<alt (sqrt (* z 2))>
#<alt (* z 2)>
#<alt (/ (* (* 1/4 (* x x)) (sqrt (* z 2))) (+ (* x 1/2) y))>
#<alt (* (* 1/4 (* x x)) (sqrt (* z 2)))>
#<alt (* 1/4 (* x x))>
#<alt (* x x)>
#<alt (* (- (* x 1/2) y) (* (sqrt (* z 2)) (+ 1 (* t (* t (+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48))))))))))>
#<alt (- (* x 1/2) y)>
#<alt (* x 1/2)>
#<alt (* (sqrt (* z 2)) (+ 1 (* t (* t (+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48)))))))))>
#<alt (* (* (* (/ (- 1 (/ (+ (* x -1/2) (/ (* 1/8 (* x (* x x))) (* y y))) y)) (* y y)) (/ (- (* x 1/2) y) (/ 1 (+ (* x (* x 1/4)) (* y (- y (* x 1/2))))))) (sqrt (* z 2))) (+ 1 (* (* t t) (+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48))))))))>
#<alt (* (* (/ (- 1 (/ (+ (* x -1/2) (/ (* 1/8 (* x (* x x))) (* y y))) y)) (* y y)) (/ (- (* x 1/2) y) (/ 1 (+ (* x (* x 1/4)) (* y (- y (* x 1/2))))))) (sqrt (* z 2)))>
#<alt (* (/ (- 1 (/ (+ (* x -1/2) (/ (* 1/8 (* x (* x x))) (* y y))) y)) (* y y)) (/ (- (* x 1/2) y) (/ 1 (+ (* x (* x 1/4)) (* y (- y (* x 1/2)))))))>
#<alt (/ (- 1 (/ (+ (* x -1/2) (/ (* 1/8 (* x (* x x))) (* y y))) y)) (* y y))>
#<alt (* t 1/48)>
#<alt (* t (* t 1/48))>
#<alt (/ (* 1/8 (* x (* x x))) (* y y))>
#<alt (+ (* x (* x 1/4)) (* y (- y (* x 1/2))))>

Outputs
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))>
#<alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))))>
#<alt (* 1/48 (* (* (pow t 6) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z)))>
#<alt (* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z)))))>
#<alt (* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))) (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z))))))>
#<alt (* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))) (+ (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 6)) (sqrt z))))))>
#<alt (* 1/48 (* (* (pow t 6) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z)))>
#<alt (* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z)))))>
#<alt (* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))) (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z))))))>
#<alt (* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))) (+ (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 6)) (sqrt z))))))>
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z)))>
#<alt (+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))))>
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#<alt (* (pow x 6) (+ (* -1/16 (* (/ (sqrt 2) (* (pow x 2) (pow y 3))) (sqrt z))) (+ (* -1/64 (* (/ (sqrt 2) (pow y 5)) (sqrt z))) (+ (* 1/16 (* (/ (sqrt 2) (* x (pow y 4))) (sqrt z))) (* (/ (* (sqrt 2) (+ (* -1/4 y) (* 1/4 y))) (* (pow x 4) (pow y 2))) (sqrt z))))))>
#<alt (* -1/64 (* (/ (* (pow x 6) (sqrt 2)) (pow y 5)) (sqrt z)))>
#<alt (* (pow x 6) (+ (* -1/64 (* (/ (sqrt 2) (pow y 5)) (sqrt z))) (* 1/16 (* (/ (sqrt 2) (* x (pow y 4))) (sqrt z)))))>
#<alt (* (pow x 6) (+ (* -1 (/ (+ (* -1/16 (* (/ (sqrt 2) (pow y 4)) (sqrt z))) (* 1/16 (* (/ (sqrt 2) (* x (pow y 3))) (sqrt z)))) x)) (* -1/64 (* (/ (sqrt 2) (pow y 5)) (sqrt z)))))>
#<alt (* (pow x 6) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (/ (* (sqrt 2) (+ (* -1/2 y) (* 1/2 y))) (* (pow x 2) (pow y 2))) (sqrt z))) (* -1/16 (* (/ (sqrt 2) (pow y 3)) (sqrt z)))) x)) (* -1/16 (* (/ (sqrt 2) (pow y 4)) (sqrt z)))) x)) (* -1/64 (* (/ (sqrt 2) (pow y 5)) (sqrt z)))))>
#<alt (* -1/64 (* (/ (* (pow x 6) (sqrt 2)) (pow y 5)) (sqrt z)))>
#<alt (/ (+ (* -1/64 (* (* (pow x 6) (sqrt 2)) (sqrt z))) (* 1/16 (* (* (pow x 5) (* y (sqrt 2))) (sqrt z)))) (pow y 5))>
#<alt (/ (+ (* -1/64 (* (* (pow x 6) (sqrt 2)) (sqrt z))) (* y (+ (* 1/16 (* (* (pow x 5) (sqrt 2)) (sqrt z))) (* (* y (* (sqrt 2) (+ (* -1/8 (pow x 4)) (* 1/16 (pow x 4))))) (sqrt z))))) (pow y 5))>
#<alt (/ (+ (* -1/64 (* (* (pow x 6) (sqrt 2)) (sqrt z))) (* y (+ (* 1/16 (* (* (pow x 5) (sqrt 2)) (sqrt z))) (* y (+ (* (sqrt z) (* (sqrt 2) (+ (* -1/8 (pow x 4)) (* 1/16 (pow x 4))))) (* (* y (* (sqrt 2) (+ (* -1/8 (pow x 3)) (+ (* 1/8 (pow x 3)) (* 1/4 (* (pow x 2) (+ (* -1/2 x) (* 1/2 x)))))))) (sqrt z))))))) (pow y 5))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* (/ (* (sqrt 2) (+ x (* -1/2 x))) y) (sqrt z))))>
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (+ (* (/ (* (sqrt 2) (+ x (* -1/2 x))) y) (sqrt z)) (* (/ (* (sqrt 2) (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2)))) (pow y 2)) (sqrt z)))))>
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (+ (* (/ (* (sqrt 2) (+ x (* -1/2 x))) y) (sqrt z)) (+ (* (/ (* (sqrt 2) (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2)))) (pow y 2)) (sqrt z)) (* (/ (* (sqrt 2) (+ (* -1/4 (pow x 3)) (* 1/4 (pow x 3)))) (pow y 3)) (sqrt z))))))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* y (+ (* -1 (* (/ (* (sqrt 2) (+ x (* -1/2 x))) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))>
#<alt (* -1 (* y (+ (* -1 (/ (+ (* -1 (* (/ (* (sqrt 2) (+ (* -1/4 (pow x 2)) (+ (* 1/4 (pow x 2)) (* 1/2 (* x (+ (* -1/2 x) (* 1/2 x))))))) y) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ x (* -1/2 x))))) y)) (* (sqrt z) (sqrt 2)))))>
#<alt (* -1 (* y (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (/ (* (sqrt 2) (+ (* -1/8 (pow x 3)) (+ (* 1/8 (pow x 3)) (* 1/4 (* (pow x 2) (+ (* -1/2 x) (* 1/2 x))))))) y) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ (* -1/4 (pow x 2)) (+ (* 1/4 (pow x 2)) (* 1/2 (* x (+ (* -1/2 x) (* 1/2 x))))))))) y)) (* (sqrt z) (* (sqrt 2) (+ x (* -1/2 x))))) y)) (* (sqrt z) (sqrt 2)))))>
#<alt (* (/ (* (sqrt 2) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (* (- 1 (+ (* -1/2 (/ x y)) (* 1/8 (/ (pow x 3) (pow y 3))))) (- (* 1/2 x) y)))) (pow y 2)) (sqrt z))>
#<alt (* (/ (* (sqrt 2) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (* (- 1 (+ (* -1/2 (/ x y)) (* 1/8 (/ (pow x 3) (pow y 3))))) (- (* 1/2 x) y)))) (pow y 2)) (sqrt z))>
#<alt (* (/ (* (sqrt 2) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (* (- 1 (+ (* -1/2 (/ x y)) (* 1/8 (/ (pow x 3) (pow y 3))))) (- (* 1/2 x) y)))) (pow y 2)) (sqrt z))>
#<alt (* (/ (* (sqrt 2) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (* (- 1 (+ (* -1/2 (/ x y)) (* 1/8 (/ (pow x 3) (pow y 3))))) (- (* 1/2 x) y)))) (pow y 2)) (sqrt z))>
#<alt (* (/ (* (sqrt 2) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (* (- 1 (+ (* -1/2 (/ x y)) (* 1/8 (/ (pow x 3) (pow y 3))))) (- (* 1/2 x) y)))) (pow y 2)) (sqrt z))>
#<alt (* (/ (* (sqrt 2) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (* (- 1 (+ (* -1/2 (/ x y)) (* 1/8 (/ (pow x 3) (pow y 3))))) (- (* 1/2 x) y)))) (pow y 2)) (sqrt z))>
#<alt (* (/ (* (sqrt 2) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (* (- 1 (+ (* -1/2 (/ x y)) (* 1/8 (/ (pow x 3) (pow y 3))))) (- (* 1/2 x) y)))) (pow y 2)) (sqrt z))>
#<alt (* (/ (* (sqrt 2) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (* (- 1 (+ (* -1/2 (/ x y)) (* 1/8 (/ (pow x 3) (pow y 3))))) (- (* 1/2 x) y)))) (pow y 2)) (sqrt z))>
#<alt (* -1 (* (/ (* (sqrt -2) (* (sqrt -1) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (* (- 1 (+ (* -1/2 (/ x y)) (* 1/8 (/ (pow x 3) (pow y 3))))) (- (* 1/2 x) y))))) (pow y 2)) (sqrt z)))>
#<alt (* -1 (* (/ (* (sqrt -2) (* (sqrt -1) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (* (- 1 (+ (* -1/2 (/ x y)) (* 1/8 (/ (pow x 3) (pow y 3))))) (- (* 1/2 x) y))))) (pow y 2)) (sqrt z)))>
#<alt (* -1 (* (/ (* (sqrt -2) (* (sqrt -1) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (* (- 1 (+ (* -1/2 (/ x y)) (* 1/8 (/ (pow x 3) (pow y 3))))) (- (* 1/2 x) y))))) (pow y 2)) (sqrt z)))>
#<alt (* -1 (* (/ (* (sqrt -2) (* (sqrt -1) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (* (- 1 (+ (* -1/2 (/ x y)) (* 1/8 (/ (pow x 3) (pow y 3))))) (- (* 1/2 x) y))))) (pow y 2)) (sqrt z)))>
#<alt (* -1 y)>
#<alt (+ (* -1 y) (* 1/2 x))>
#<alt (+ (* -1 y) (* x (+ 1/2 (* -1/16 (/ (pow x 3) (pow y 3))))))>
#<alt (+ (* -1 y) (* x (+ 1/2 (* (pow x 3) (- (* 1/16 (/ x (pow y 4))) (* 1/16 (/ 1 (pow y 3))))))))>
#<alt (* -1/64 (/ (pow x 6) (pow y 5)))>
#<alt (* (pow x 6) (- (* 1/16 (/ 1 (* x (pow y 4)))) (* 1/64 (/ 1 (pow y 5)))))>
#<alt (* (pow x 6) (- (/ 1/16 (* x (pow y 4))) (+ (/ 1/16 (* (pow x 2) (pow y 3))) (* 1/64 (/ 1 (pow y 5))))))>
#<alt (* (pow x 6) (- (+ (/ 1/16 (* x (pow y 4))) (* 1/2 (/ 1 (pow x 5)))) (+ (* 1/16 (/ 1 (* (pow x 2) (pow y 3)))) (* 1/64 (/ 1 (pow y 5))))))>
#<alt (* -1/64 (/ (pow x 6) (pow y 5)))>
#<alt (* (pow x 6) (- (* 1/16 (/ 1 (* x (pow y 4)))) (* 1/64 (/ 1 (pow y 5)))))>
#<alt (* (pow x 6) (- (* -1 (/ (- (* 1/16 (/ 1 (* x (pow y 3)))) (* 1/16 (/ 1 (pow y 4)))) x)) (* 1/64 (/ 1 (pow y 5)))))>
#<alt (* (pow x 6) (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1/2 y) (* 1/2 y)) (* (pow x 2) (pow y 2)))) (* 1/16 (/ 1 (pow y 3)))) x)) (* 1/16 (/ 1 (pow y 4)))) x)) (* 1/64 (/ 1 (pow y 5)))))>
#<alt (* -1/64 (/ (pow x 6) (pow y 5)))>
#<alt (/ (+ (* -1/64 (pow x 6)) (* 1/16 (* (pow x 5) y))) (pow y 5))>
#<alt (/ (+ (* -1/64 (pow x 6)) (* y (+ (* 1/16 (pow x 5)) (* y (+ (* -1/8 (pow x 4)) (* 1/16 (pow x 4))))))) (pow y 5))>
#<alt (/ (+ (* -1/64 (pow x 6)) (* y (+ (* 1/16 (pow x 5)) (* y (+ (* -1/8 (pow x 4)) (+ (* 1/16 (pow x 4)) (* y (+ (* -1/8 (pow x 3)) (+ (* 1/8 (pow x 3)) (* 1/4 (* (pow x 2) (+ (* -1/2 x) (* 1/2 x))))))))))))) (pow y 5))>
#<alt (* -1 y)>
#<alt (* y (- (+ (* -1/2 (/ x y)) (/ x y)) 1))>
#<alt (* y (- (+ (* -1/2 (/ x y)) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x y)))) 1))>
#<alt (* y (- (+ (* -1/2 (/ x y)) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* -1/4 (/ (pow x 3) (pow y 3))) (+ (* 1/4 (/ (pow x 3) (pow y 3))) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x y)))))) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ (+ x (* -1/2 x)) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (+ x (+ (* -1 (/ (+ (* -1/4 (pow x 2)) (+ (* 1/4 (pow x 2)) (* 1/2 (* x (+ (* -1/2 x) (* 1/2 x)))))) y)) (* -1/2 x))) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (+ x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow x 3)) (+ (* 1/8 (pow x 3)) (* 1/4 (* (pow x 2) (+ (* -1/2 x) (* 1/2 x)))))) y)) (+ (* -1/4 (pow x 2)) (+ (* 1/4 (pow x 2)) (* 1/2 (* x (+ (* -1/2 x) (* 1/2 x))))))) y)) (* -1/2 x))) y)))))>
#<alt (/ 1 (pow y 2))>
#<alt (+ (* 1/2 (/ x (pow y 3))) (/ 1 (pow y 2)))>
#<alt (+ (* x (+ (* -1/8 (/ (pow x 2) (pow y 5))) (* 1/2 (/ 1 (pow y 3))))) (/ 1 (pow y 2)))>
#<alt (+ (* x (+ (* -1/8 (/ (pow x 2) (pow y 5))) (* 1/2 (/ 1 (pow y 3))))) (/ 1 (pow y 2)))>
#<alt (* -1/8 (/ (pow x 3) (pow y 5)))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (* (pow x 2) (pow y 3)))) (* 1/8 (/ 1 (pow y 5)))))>
#<alt (* (pow x 3) (- (+ (/ 1/2 (* (pow x 2) (pow y 3))) (/ 1 (* (pow x 3) (pow y 2)))) (* 1/8 (/ 1 (pow y 5)))))>
#<alt (* (pow x 3) (- (+ (/ 1/2 (* (pow x 2) (pow y 3))) (/ 1 (* (pow x 3) (pow y 2)))) (* 1/8 (/ 1 (pow y 5)))))>
#<alt (* -1/8 (/ (pow x 3) (pow y 5)))>
#<alt (* -1 (* (pow x 3) (- (* 1/8 (/ 1 (pow y 5))) (* 1/2 (/ 1 (* (pow x 2) (pow y 3)))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow y 3))) (/ 1 (* x (pow y 2)))) (pow x 2))) (* 1/8 (/ 1 (pow y 5))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow y 3))) (/ 1 (* x (pow y 2)))) (pow x 2))) (* 1/8 (/ 1 (pow y 5))))))>
#<alt (* -1/8 (/ (pow x 3) (pow y 5)))>
#<alt (/ (+ (* -1/8 (pow x 3)) (* 1/2 (* x (pow y 2)))) (pow y 5))>
#<alt (/ (+ (* -1/8 (pow x 3)) (* (pow y 2) (+ y (* 1/2 x)))) (pow y 5))>
#<alt (/ (+ (* -1/8 (pow x 3)) (* (pow y 2) (+ y (* 1/2 x)))) (pow y 5))>
#<alt (/ 1 (pow y 2))>
#<alt (/ (+ 1 (* 1/2 (/ x y))) (pow y 2))>
#<alt (/ (+ 1 (+ (* -1/8 (/ (pow x 3) (pow y 3))) (* 1/2 (/ x y)))) (pow y 2))>
#<alt (/ (+ 1 (+ (* -1/8 (/ (pow x 3) (pow y 3))) (* 1/2 (/ x y)))) (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ (+ 1 (* 1/2 (/ x y))) (pow y 2))>
#<alt (/ (+ 1 (* -1 (/ (+ (* -1/2 x) (* 1/8 (/ (pow x 3) (pow y 2)))) y))) (pow y 2))>
#<alt (/ (+ 1 (* -1 (/ (+ (* -1/2 x) (* 1/8 (/ (pow x 3) (pow y 2)))) y))) (pow y 2))>
#<alt (* 1/48 t)>
#<alt (* 1/48 t)>
#<alt (* 1/48 t)>
#<alt (* 1/48 t)>
#<alt (* 1/48 t)>
#<alt (* 1/48 t)>
#<alt (* 1/48 t)>
#<alt (* 1/48 t)>
#<alt (* 1/48 t)>
#<alt (* 1/48 t)>
#<alt (* 1/48 t)>
#<alt (* 1/48 t)>
#<alt (* 1/48 (pow t 2))>
#<alt (* 1/48 (pow t 2))>
#<alt (* 1/48 (pow t 2))>
#<alt (* 1/48 (pow t 2))>
#<alt (* 1/48 (pow t 2))>
#<alt (* 1/48 (pow t 2))>
#<alt (* 1/48 (pow t 2))>
#<alt (* 1/48 (pow t 2))>
#<alt (* 1/48 (pow t 2))>
#<alt (* 1/48 (pow t 2))>
#<alt (* 1/48 (pow t 2))>
#<alt (* 1/48 (pow t 2))>
#<alt (* 1/8 (/ (pow x 3) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 3) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 3) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 3) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 3) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 3) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 3) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 3) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 3) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 3) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 3) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 3) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 3) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 3) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 3) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 3) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 3) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 3) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 3) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 3) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 3) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 3) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 3) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 3) (pow y 2)))>
#<alt (pow y 2)>
#<alt (+ (* -1/2 (* x y)) (pow y 2))>
#<alt (+ (* x (+ (* -1/2 y) (* 1/4 x))) (pow y 2))>
#<alt (+ (* x (+ (* -1/2 y) (* 1/4 x))) (pow y 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (+ 1/4 (* -1/2 (/ y x))))>
#<alt (* (pow x 2) (+ 1/4 (+ (* -1/2 (/ y x)) (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/4 (+ (* -1/2 (/ y x)) (/ (pow y 2) (pow x 2)))))>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (+ 1/4 (* -1/2 (/ y x))))>
#<alt (* (pow x 2) (+ 1/4 (* -1 (/ (+ (* -1 (/ (pow y 2) x)) (* 1/2 y)) x))))>
#<alt (* (pow x 2) (+ 1/4 (* -1 (/ (+ (* -1 (/ (pow y 2) x)) (* 1/2 y)) x))))>
#<alt (* 1/4 (pow x 2))>
#<alt (+ (* -1/2 (* x y)) (* 1/4 (pow x 2)))>
#<alt (+ (* 1/4 (pow x 2)) (* y (+ y (* -1/2 x))))>
#<alt (+ (* 1/4 (pow x 2)) (* y (+ y (* -1/2 x))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* -1/2 (/ x y))))>
#<alt (* (pow y 2) (- (+ 1 (* 1/4 (/ (pow x 2) (pow y 2)))) (* 1/2 (/ x y))))>
#<alt (* (pow y 2) (- (+ 1 (* 1/4 (/ (pow x 2) (pow y 2)))) (* 1/2 (/ x y))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* -1/2 (/ x y))))>
#<alt (* (pow y 2) (+ 1 (* -1 (/ (+ (* -1/4 (/ (pow x 2) y)) (* 1/2 x)) y))))>
#<alt (* (pow y 2) (+ 1 (* -1 (/ (+ (* -1/4 (/ (pow x 2) y)) (* 1/2 x)) y))))>

Calls

141 calls:

Time	Variable		Point	Expression
6.0ms	y	@	0	(/ (* (* 1/4 (* x x)) (sqrt (* z 2))) (+ (* x 1/2) y))
4.0ms	y	@	0	(* (* (* (/ (- 1 (/ (+ (* x -1/2) (/ (* 1/8 (* x (* x x))) (* y y))) y)) (* y y)) (/ (- (* x 1/2) y) (/ 1 (+ (* x (* x 1/4)) (* y (- y (* x 1/2))))))) (sqrt (* z 2))) (+ 1 (* (* t t) (+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48))))))))
4.0ms	t	@	inf	(* (* (* (/ (- 1 (/ (+ (* x -1/2) (/ (* 1/8 (* x (* x x))) (* y y))) y)) (* y y)) (/ (- (* x 1/2) y) (/ 1 (+ (* x (* x 1/4)) (* y (- y (* x 1/2))))))) (sqrt (* z 2))) (+ 1 (* (* t t) (+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48))))))))
4.0ms	z	@	0	(* (* (* (/ (- 1 (/ (+ (* x -1/2) (/ (* 1/8 (* x (* x x))) (* y y))) y)) (* y y)) (/ (- (* x 1/2) y) (/ 1 (+ (* x (* x 1/4)) (* y (- y (* x 1/2))))))) (sqrt (* z 2))) (+ 1 (* (* t t) (+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48))))))))
2.0ms	t	@	0	(* (* (* (/ (- 1 (/ (+ (* x -1/2) (/ (* 1/8 (* x (* x x))) (* y y))) y)) (* y y)) (/ (- (* x 1/2) y) (/ 1 (+ (* x (* x 1/4)) (* y (- y (* x 1/2))))))) (sqrt (* z 2))) (+ 1 (* (* t t) (+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48))))))))

rewrite431.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

5660×	`-lowering-.f32`
5660×	`-lowering-.f64`
2922×	`/-lowering-/.f32`
2922×	`/-lowering-/.f64`
1916×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	56	399
1	341	376
2	3356	372
0	9710	372

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 496

Calls

Call 1

Inputs
(* (* (+ 1 (* t (* t (+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48)))))))) (- (* x 1/2) y)) (sqrt (* z 2)))
(* (+ 1 (* t (* t (+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48)))))))) (- (* x 1/2) y))
(+ 1 (* t (* t (+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48))))))))
(* t (* t (+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48)))))))
(* (* (sqrt (* z 2)) 1/2) x)
(* (sqrt (* z 2)) 1/2)
(sqrt (* z 2))
(* z 2)
(/ (* (* 1/4 (* x x)) (sqrt (* z 2))) (+ (* x 1/2) y))
(* (* 1/4 (* x x)) (sqrt (* z 2)))
(* 1/4 (* x x))
(* x x)
(* (- (* x 1/2) y) (* (sqrt (* z 2)) (+ 1 (* t (* t (+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48))))))))))
(- (* x 1/2) y)
(* x 1/2)
(* (sqrt (* z 2)) (+ 1 (* t (* t (+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48)))))))))
(* (* (* (/ (- 1 (/ (+ (* x -1/2) (/ (* 1/8 (* x (* x x))) (* y y))) y)) (* y y)) (/ (- (* x 1/2) y) (/ 1 (+ (* x (* x 1/4)) (* y (- y (* x 1/2))))))) (sqrt (* z 2))) (+ 1 (* (* t t) (+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48))))))))
(* (* (/ (- 1 (/ (+ (* x -1/2) (/ (* 1/8 (* x (* x x))) (* y y))) y)) (* y y)) (/ (- (* x 1/2) y) (/ 1 (+ (* x (* x 1/4)) (* y (- y (* x 1/2))))))) (sqrt (* z 2)))
(* (/ (- 1 (/ (+ (* x -1/2) (/ (* 1/8 (* x (* x x))) (* y y))) y)) (* y y)) (/ (- (* x 1/2) y) (/ 1 (+ (* x (* x 1/4)) (* y (- y (* x 1/2)))))))
(/ (- 1 (/ (+ (* x -1/2) (/ (* 1/8 (* x (* x x))) (* y y))) y)) (* y y))
(* t 1/48)
(* t (* t 1/48))
(/ (* 1/8 (* x (* x x))) (* y y))
(+ (* x (* x 1/4)) (* y (- y (* x 1/2))))

Outputs
(+.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))))) (.f64 (.f64 t t) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))))
(+.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))))) (.f64 (.f64 t t) (sqrt.f64 (.f64 z #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(+.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))))))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) x)) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) y)))
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(.f64 (pow.f64 (pow.f64 (+.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (.f64 x (.f64 x #s(literal 1/4 binary64)))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (.f64 x (*.f64 x #s(literal 1/4 binary64)))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (+.f64 y (.f64 x #s(literal -1/2 binary64))) (.f64 (+.f64 y (.f64 x #s(literal -1/2 binary64))) (+.f64 y (.f64 x #s(literal -1/2 binary64)))))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (-.f64 (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))) (.f64 x (.f64 x #s(literal 1/4 binary64))))))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 y (.f64 (+.f64 y (.f64 x #s(literal -1/2 binary64))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))))))

simplify418.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

7070×	`-lowering-.f32`
7070×	`-lowering-.f64`
4420×	`+-lowering-+.f64`
4420×	`+-lowering-+.f32`
1622×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1032	15372
1	3779	14946
0	8212	14946

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 564

Calls

Call 1

Inputs
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))))
(* 1/48 (* (* (pow t 6) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z)))
(* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z)))))
(* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))) (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z))))))
(* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))) (+ (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 6)) (sqrt z))))))
(* 1/48 (* (* (pow t 6) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z)))
(* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z)))))
(* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))) (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z))))))
(* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))) (+ (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 6)) (sqrt z))))))
(* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z)))
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))))
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))))
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))))
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))))))
(* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))))))
(* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))))))
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))) (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))) (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))) (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) x) (sqrt z)))))
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z)))
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))))
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))))
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))))
(* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z)))
(* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))) (* 1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))) (* 1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))) (* 1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) y) (sqrt z)))))
(* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z)))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) y) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) y) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) y) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))))))
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y))))
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y))))
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y))))
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y))))
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y))))
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y))))
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y))))
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y))))))
(- (* 1/2 x) y)
(- (+ (* 1/2 x) (* 1/2 (* (pow t 2) (- (* 1/2 x) y)))) y)
(- (+ (* 1/2 x) (* (pow t 2) (+ (* 1/8 (* (pow t 2) (- (* 1/2 x) y))) (* 1/2 (- (* 1/2 x) y))))) y)
(- (+ (* 1/2 x) (* (pow t 2) (+ (* 1/2 (- (* 1/2 x) y)) (* (pow t 2) (+ (* 1/48 (* (pow t 2) (- (* 1/2 x) y))) (* 1/8 (- (* 1/2 x) y))))))) y)
(* 1/48 (* (pow t 6) (- (* 1/2 x) y)))
(* (pow t 6) (+ (* 1/48 (- (* 1/2 x) y)) (* 1/8 (/ (- (* 1/2 x) y) (pow t 2)))))
(* (pow t 6) (+ (* 1/48 (- (* 1/2 x) y)) (+ (* 1/8 (/ (- (* 1/2 x) y) (pow t 2))) (* 1/2 (/ (- (* 1/2 x) y) (pow t 4))))))
(* (pow t 6) (- (+ (* 1/48 (- (* 1/2 x) y)) (+ (* 1/8 (/ (- (* 1/2 x) y) (pow t 2))) (+ (* 1/2 (/ x (pow t 6))) (* 1/2 (/ (- (* 1/2 x) y) (pow t 4)))))) (/ y (pow t 6))))
(* 1/48 (* (pow t 6) (- (* 1/2 x) y)))
(* (pow t 6) (+ (* 1/48 (- (* 1/2 x) y)) (* 1/8 (/ (- (* 1/2 x) y) (pow t 2)))))
(* (pow t 6) (+ (* 1/48 (- (* 1/2 x) y)) (+ (* 1/8 (/ (- (* 1/2 x) y) (pow t 2))) (* 1/2 (/ (- (* 1/2 x) y) (pow t 4))))))
(* (pow t 6) (- (+ (* 1/48 (- (* 1/2 x) y)) (+ (* 1/8 (/ (- (* 1/2 x) y) (pow t 2))) (+ (* 1/2 (/ x (pow t 6))) (* 1/2 (/ (- (* 1/2 x) y) (pow t 4)))))) (/ y (pow t 6))))
(* -1 (* y (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))
(+ (* -1 (* y (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (* 1/2 (* x (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))))
(+ (* -1 (* y (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (* 1/2 (* x (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))))
(+ (* -1 (* y (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (* 1/2 (* x (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))))
(* 1/2 (* x (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))
(* x (+ (* -1 (/ (* y (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))) x)) (* 1/2 (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))))
(* x (+ (* -1 (/ (* y (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))) x)) (* 1/2 (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))))
(* x (+ (* -1 (/ (* y (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))) x)) (* 1/2 (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))))
(* 1/2 (* x (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))
(* -1 (* x (+ (* -1/2 (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))) (/ (* y (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))) x))))
(* -1 (* x (+ (* -1/2 (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))) (/ (* y (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))) x))))
(* -1 (* x (+ (* -1/2 (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))) (/ (* y (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))) x))))
(* 1/2 (* x (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))
(+ (* -1 (* y (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (* 1/2 (* x (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))))
(+ (* -1 (* y (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (* 1/2 (* x (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))))
(+ (* -1 (* y (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (* 1/2 (* x (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))))
(* -1 (* y (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))
(* y (+ (* -1 (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))) (* 1/2 (/ (* x (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))) y))))
(* y (+ (* -1 (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))) (* 1/2 (/ (* x (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))) y))))
(* y (+ (* -1 (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))) (* 1/2 (/ (* x (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))) y))))
(* -1 (* y (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))
(* -1 (* y (+ 1 (+ (* -1/2 (/ (* x (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))) y)) (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))))
(* -1 (* y (+ 1 (+ (* -1/2 (/ (* x (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))) y)) (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))))
(* -1 (* y (+ 1 (+ (* -1/2 (/ (* x (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))) y)) (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))))
1
(+ 1 (* 1/2 (pow t 2)))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(* 1/48 (pow t 6))
(* (pow t 6) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(* (pow t 6) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2))))))
(* (pow t 6) (+ 1/48 (+ (/ 1/2 (pow t 4)) (+ (* 1/8 (/ 1 (pow t 2))) (/ 1 (pow t 6))))))
(* 1/48 (pow t 6))
(* (pow t 6) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(* (pow t 6) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2))))))
(* (pow t 6) (+ 1/48 (+ (/ 1/2 (pow t 4)) (+ (* 1/8 (/ 1 (pow t 2))) (/ 1 (pow t 6))))))
(* 1/2 (pow t 2))
(* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))
(* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))
(* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))
(* 1/48 (pow t 6))
(* (pow t 6) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(* (pow t 6) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2))))))
(* (pow t 6) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2))))))
(* 1/48 (pow t 6))
(* (pow t 6) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(* (pow t 6) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2))))))
(* (pow t 6) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2))))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* -1/2 (* (* x (* (sqrt -2) (sqrt -1))) (sqrt z)))
(* -1/2 (* (* x (* (sqrt -2) (sqrt -1))) (sqrt z)))
(* -1/2 (* (* x (* (sqrt -2) (sqrt -1))) (sqrt z)))
(* -1/2 (* (* x (* (sqrt -2) (sqrt -1))) (sqrt z)))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* 1/2 (* (sqrt z) (sqrt 2)))
(* 1/2 (* (sqrt z) (sqrt 2)))
(* 1/2 (* (sqrt z) (sqrt 2)))
(* 1/2 (* (sqrt z) (sqrt 2)))
(* 1/2 (* (sqrt z) (sqrt 2)))
(* 1/2 (* (sqrt z) (sqrt 2)))
(* 1/2 (* (sqrt z) (sqrt 2)))
(* 1/2 (* (sqrt z) (sqrt 2)))
(* -1/2 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(* -1/2 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(* -1/2 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(* -1/2 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
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(* (pow t 6) (+ (* 1/48 (* (/ (* (sqrt 2) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (* (- 1 (+ (* -1/2 (/ x y)) (* 1/8 (/ (pow x 3) (pow y 3))))) (- (* 1/2 x) y)))) (pow y 2)) (sqrt z))) (+ (* 1/8 (* (/ (* (sqrt 2) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (* (- 1 (+ (* -1/2 (/ x y)) (* 1/8 (/ (pow x 3) (pow y 3))))) (- (* 1/2 x) y)))) (* (pow t 2) (pow y 2))) (sqrt z))) (+ (* 1/2 (* (/ (* (sqrt 2) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (* (- 1 (+ (* -1/2 (/ x y)) (* 1/8 (/ (pow x 3) (pow y 3))))) (- (* 1/2 x) y)))) (* (pow t 4) (pow y 2))) (sqrt z))) (* (/ (* (sqrt 2) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (* (- 1 (+ (* -1/2 (/ x y)) (* 1/8 (/ (pow x 3) (pow y 3))))) (- (* 1/2 x) y)))) (* (pow t 6) (pow y 2))) (sqrt z))))))
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(* (pow t 6) (+ (* 1/48 (* (/ (* (sqrt 2) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (* (- 1 (+ (* -1/2 (/ x y)) (* 1/8 (/ (pow x 3) (pow y 3))))) (- (* 1/2 x) y)))) (pow y 2)) (sqrt z))) (+ (* 1/8 (* (/ (* (sqrt 2) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (* (- 1 (+ (* -1/2 (/ x y)) (* 1/8 (/ (pow x 3) (pow y 3))))) (- (* 1/2 x) y)))) (* (pow t 2) (pow y 2))) (sqrt z))) (* 1/2 (* (/ (* (sqrt 2) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (* (- 1 (+ (* -1/2 (/ x y)) (* 1/8 (/ (pow x 3) (pow y 3))))) (- (* 1/2 x) y)))) (* (pow t 4) (pow y 2))) (sqrt z))))))
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(* -1 (* (* y (sqrt 2)) (sqrt z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* x (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (/ (* x (* (sqrt 2) (+ (* -1/4 y) (* 1/4 y)))) (pow y 2)) (sqrt z)))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* x (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* x (+ (* -1/16 (* (/ (* (pow x 2) (sqrt 2)) (pow y 3)) (sqrt z))) (* (/ (* (sqrt 2) (+ (* -1/4 y) (* 1/4 y))) (pow y 2)) (sqrt z)))))))
(* -1/64 (* (/ (* (pow x 6) (sqrt 2)) (pow y 5)) (sqrt z)))
(* (pow x 6) (+ (* -1/64 (* (/ (sqrt 2) (pow y 5)) (sqrt z))) (* 1/16 (* (/ (sqrt 2) (* x (pow y 4))) (sqrt z)))))
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(* -1/64 (* (/ (* (pow x 6) (sqrt 2)) (pow y 5)) (sqrt z)))
(* (pow x 6) (+ (* -1/64 (* (/ (sqrt 2) (pow y 5)) (sqrt z))) (* 1/16 (* (/ (sqrt 2) (* x (pow y 4))) (sqrt z)))))
(* (pow x 6) (+ (* -1 (/ (+ (* -1/16 (* (/ (sqrt 2) (pow y 4)) (sqrt z))) (* 1/16 (* (/ (sqrt 2) (* x (pow y 3))) (sqrt z)))) x)) (* -1/64 (* (/ (sqrt 2) (pow y 5)) (sqrt z)))))
(* (pow x 6) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (/ (* (sqrt 2) (+ (* -1/2 y) (* 1/2 y))) (* (pow x 2) (pow y 2))) (sqrt z))) (* -1/16 (* (/ (sqrt 2) (pow y 3)) (sqrt z)))) x)) (* -1/16 (* (/ (sqrt 2) (pow y 4)) (sqrt z)))) x)) (* -1/64 (* (/ (sqrt 2) (pow y 5)) (sqrt z)))))
(* -1/64 (* (/ (* (pow x 6) (sqrt 2)) (pow y 5)) (sqrt z)))
(/ (+ (* -1/64 (* (* (pow x 6) (sqrt 2)) (sqrt z))) (* 1/16 (* (* (pow x 5) (* y (sqrt 2))) (sqrt z)))) (pow y 5))
(/ (+ (* -1/64 (* (* (pow x 6) (sqrt 2)) (sqrt z))) (* y (+ (* 1/16 (* (* (pow x 5) (sqrt 2)) (sqrt z))) (* (* y (* (sqrt 2) (+ (* -1/8 (pow x 4)) (* 1/16 (pow x 4))))) (sqrt z))))) (pow y 5))
(/ (+ (* -1/64 (* (* (pow x 6) (sqrt 2)) (sqrt z))) (* y (+ (* 1/16 (* (* (pow x 5) (sqrt 2)) (sqrt z))) (* y (+ (* (sqrt z) (* (sqrt 2) (+ (* -1/8 (pow x 4)) (* 1/16 (pow x 4))))) (* (* y (* (sqrt 2) (+ (* -1/8 (pow x 3)) (+ (* 1/8 (pow x 3)) (* 1/4 (* (pow x 2) (+ (* -1/2 x) (* 1/2 x)))))))) (sqrt z))))))) (pow y 5))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* (/ (* (sqrt 2) (+ x (* -1/2 x))) y) (sqrt z))))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (+ (* (/ (* (sqrt 2) (+ x (* -1/2 x))) y) (sqrt z)) (* (/ (* (sqrt 2) (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2)))) (pow y 2)) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (+ (* (/ (* (sqrt 2) (+ x (* -1/2 x))) y) (sqrt z)) (+ (* (/ (* (sqrt 2) (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2)))) (pow y 2)) (sqrt z)) (* (/ (* (sqrt 2) (+ (* -1/4 (pow x 3)) (* 1/4 (pow x 3)))) (pow y 3)) (sqrt z))))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* y (+ (* -1 (* (/ (* (sqrt 2) (+ x (* -1/2 x))) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* -1 (* y (+ (* -1 (/ (+ (* -1 (* (/ (* (sqrt 2) (+ (* -1/4 (pow x 2)) (+ (* 1/4 (pow x 2)) (* 1/2 (* x (+ (* -1/2 x) (* 1/2 x))))))) y) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ x (* -1/2 x))))) y)) (* (sqrt z) (sqrt 2)))))
(* -1 (* y (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (/ (* (sqrt 2) (+ (* -1/8 (pow x 3)) (+ (* 1/8 (pow x 3)) (* 1/4 (* (pow x 2) (+ (* -1/2 x) (* 1/2 x))))))) y) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ (* -1/4 (pow x 2)) (+ (* 1/4 (pow x 2)) (* 1/2 (* x (+ (* -1/2 x) (* 1/2 x))))))))) y)) (* (sqrt z) (* (sqrt 2) (+ x (* -1/2 x))))) y)) (* (sqrt z) (sqrt 2)))))
(* (/ (* (sqrt 2) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (* (- 1 (+ (* -1/2 (/ x y)) (* 1/8 (/ (pow x 3) (pow y 3))))) (- (* 1/2 x) y)))) (pow y 2)) (sqrt z))
(* (/ (* (sqrt 2) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (* (- 1 (+ (* -1/2 (/ x y)) (* 1/8 (/ (pow x 3) (pow y 3))))) (- (* 1/2 x) y)))) (pow y 2)) (sqrt z))
(* (/ (* (sqrt 2) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (* (- 1 (+ (* -1/2 (/ x y)) (* 1/8 (/ (pow x 3) (pow y 3))))) (- (* 1/2 x) y)))) (pow y 2)) (sqrt z))
(* (/ (* (sqrt 2) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (* (- 1 (+ (* -1/2 (/ x y)) (* 1/8 (/ (pow x 3) (pow y 3))))) (- (* 1/2 x) y)))) (pow y 2)) (sqrt z))
(* (/ (* (sqrt 2) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (* (- 1 (+ (* -1/2 (/ x y)) (* 1/8 (/ (pow x 3) (pow y 3))))) (- (* 1/2 x) y)))) (pow y 2)) (sqrt z))
(* (/ (* (sqrt 2) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (* (- 1 (+ (* -1/2 (/ x y)) (* 1/8 (/ (pow x 3) (pow y 3))))) (- (* 1/2 x) y)))) (pow y 2)) (sqrt z))
(* (/ (* (sqrt 2) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (* (- 1 (+ (* -1/2 (/ x y)) (* 1/8 (/ (pow x 3) (pow y 3))))) (- (* 1/2 x) y)))) (pow y 2)) (sqrt z))
(* (/ (* (sqrt 2) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (* (- 1 (+ (* -1/2 (/ x y)) (* 1/8 (/ (pow x 3) (pow y 3))))) (- (* 1/2 x) y)))) (pow y 2)) (sqrt z))
(* -1 (* (/ (* (sqrt -2) (* (sqrt -1) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (* (- 1 (+ (* -1/2 (/ x y)) (* 1/8 (/ (pow x 3) (pow y 3))))) (- (* 1/2 x) y))))) (pow y 2)) (sqrt z)))
(* -1 (* (/ (* (sqrt -2) (* (sqrt -1) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (* (- 1 (+ (* -1/2 (/ x y)) (* 1/8 (/ (pow x 3) (pow y 3))))) (- (* 1/2 x) y))))) (pow y 2)) (sqrt z)))
(* -1 (* (/ (* (sqrt -2) (* (sqrt -1) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (* (- 1 (+ (* -1/2 (/ x y)) (* 1/8 (/ (pow x 3) (pow y 3))))) (- (* 1/2 x) y))))) (pow y 2)) (sqrt z)))
(* -1 (* (/ (* (sqrt -2) (* (sqrt -1) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (* (- 1 (+ (* -1/2 (/ x y)) (* 1/8 (/ (pow x 3) (pow y 3))))) (- (* 1/2 x) y))))) (pow y 2)) (sqrt z)))
(* -1 y)
(+ (* -1 y) (* 1/2 x))
(+ (* -1 y) (* x (+ 1/2 (* -1/16 (/ (pow x 3) (pow y 3))))))
(+ (* -1 y) (* x (+ 1/2 (* (pow x 3) (- (* 1/16 (/ x (pow y 4))) (* 1/16 (/ 1 (pow y 3))))))))
(* -1/64 (/ (pow x 6) (pow y 5)))
(* (pow x 6) (- (* 1/16 (/ 1 (* x (pow y 4)))) (* 1/64 (/ 1 (pow y 5)))))
(* (pow x 6) (- (/ 1/16 (* x (pow y 4))) (+ (/ 1/16 (* (pow x 2) (pow y 3))) (* 1/64 (/ 1 (pow y 5))))))
(* (pow x 6) (- (+ (/ 1/16 (* x (pow y 4))) (* 1/2 (/ 1 (pow x 5)))) (+ (* 1/16 (/ 1 (* (pow x 2) (pow y 3)))) (* 1/64 (/ 1 (pow y 5))))))
(* -1/64 (/ (pow x 6) (pow y 5)))
(* (pow x 6) (- (* 1/16 (/ 1 (* x (pow y 4)))) (* 1/64 (/ 1 (pow y 5)))))
(* (pow x 6) (- (* -1 (/ (- (* 1/16 (/ 1 (* x (pow y 3)))) (* 1/16 (/ 1 (pow y 4)))) x)) (* 1/64 (/ 1 (pow y 5)))))
(* (pow x 6) (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1/2 y) (* 1/2 y)) (* (pow x 2) (pow y 2)))) (* 1/16 (/ 1 (pow y 3)))) x)) (* 1/16 (/ 1 (pow y 4)))) x)) (* 1/64 (/ 1 (pow y 5)))))
(* -1/64 (/ (pow x 6) (pow y 5)))
(/ (+ (* -1/64 (pow x 6)) (* 1/16 (* (pow x 5) y))) (pow y 5))
(/ (+ (* -1/64 (pow x 6)) (* y (+ (* 1/16 (pow x 5)) (* y (+ (* -1/8 (pow x 4)) (* 1/16 (pow x 4))))))) (pow y 5))
(/ (+ (* -1/64 (pow x 6)) (* y (+ (* 1/16 (pow x 5)) (* y (+ (* -1/8 (pow x 4)) (+ (* 1/16 (pow x 4)) (* y (+ (* -1/8 (pow x 3)) (+ (* 1/8 (pow x 3)) (* 1/4 (* (pow x 2) (+ (* -1/2 x) (* 1/2 x))))))))))))) (pow y 5))
(* -1 y)
(* y (- (+ (* -1/2 (/ x y)) (/ x y)) 1))
(* y (- (+ (* -1/2 (/ x y)) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x y)))) 1))
(* y (- (+ (* -1/2 (/ x y)) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* -1/4 (/ (pow x 3) (pow y 3))) (+ (* 1/4 (/ (pow x 3) (pow y 3))) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x y)))))) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (+ x (* -1/2 x)) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ x (+ (* -1 (/ (+ (* -1/4 (pow x 2)) (+ (* 1/4 (pow x 2)) (* 1/2 (* x (+ (* -1/2 x) (* 1/2 x)))))) y)) (* -1/2 x))) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow x 3)) (+ (* 1/8 (pow x 3)) (* 1/4 (* (pow x 2) (+ (* -1/2 x) (* 1/2 x)))))) y)) (+ (* -1/4 (pow x 2)) (+ (* 1/4 (pow x 2)) (* 1/2 (* x (+ (* -1/2 x) (* 1/2 x))))))) y)) (* -1/2 x))) y)))))
(/ 1 (pow y 2))
(+ (* 1/2 (/ x (pow y 3))) (/ 1 (pow y 2)))
(+ (* x (+ (* -1/8 (/ (pow x 2) (pow y 5))) (* 1/2 (/ 1 (pow y 3))))) (/ 1 (pow y 2)))
(+ (* x (+ (* -1/8 (/ (pow x 2) (pow y 5))) (* 1/2 (/ 1 (pow y 3))))) (/ 1 (pow y 2)))
(* -1/8 (/ (pow x 3) (pow y 5)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow x 2) (pow y 3)))) (* 1/8 (/ 1 (pow y 5)))))
(* (pow x 3) (- (+ (/ 1/2 (* (pow x 2) (pow y 3))) (/ 1 (* (pow x 3) (pow y 2)))) (* 1/8 (/ 1 (pow y 5)))))
(* (pow x 3) (- (+ (/ 1/2 (* (pow x 2) (pow y 3))) (/ 1 (* (pow x 3) (pow y 2)))) (* 1/8 (/ 1 (pow y 5)))))
(* -1/8 (/ (pow x 3) (pow y 5)))
(* -1 (* (pow x 3) (- (* 1/8 (/ 1 (pow y 5))) (* 1/2 (/ 1 (* (pow x 2) (pow y 3)))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow y 3))) (/ 1 (* x (pow y 2)))) (pow x 2))) (* 1/8 (/ 1 (pow y 5))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow y 3))) (/ 1 (* x (pow y 2)))) (pow x 2))) (* 1/8 (/ 1 (pow y 5))))))
(* -1/8 (/ (pow x 3) (pow y 5)))
(/ (+ (* -1/8 (pow x 3)) (* 1/2 (* x (pow y 2)))) (pow y 5))
(/ (+ (* -1/8 (pow x 3)) (* (pow y 2) (+ y (* 1/2 x)))) (pow y 5))
(/ (+ (* -1/8 (pow x 3)) (* (pow y 2) (+ y (* 1/2 x)))) (pow y 5))
(/ 1 (pow y 2))
(/ (+ 1 (* 1/2 (/ x y))) (pow y 2))
(/ (+ 1 (+ (* -1/8 (/ (pow x 3) (pow y 3))) (* 1/2 (/ x y)))) (pow y 2))
(/ (+ 1 (+ (* -1/8 (/ (pow x 3) (pow y 3))) (* 1/2 (/ x y)))) (pow y 2))
(/ 1 (pow y 2))
(/ (+ 1 (* 1/2 (/ x y))) (pow y 2))
(/ (+ 1 (* -1 (/ (+ (* -1/2 x) (* 1/8 (/ (pow x 3) (pow y 2)))) y))) (pow y 2))
(/ (+ 1 (* -1 (/ (+ (* -1/2 x) (* 1/8 (/ (pow x 3) (pow y 2)))) y))) (pow y 2))
(* 1/48 t)
(* 1/48 t)
(* 1/48 t)
(* 1/48 t)
(* 1/48 t)
(* 1/48 t)
(* 1/48 t)
(* 1/48 t)
(* 1/48 t)
(* 1/48 t)
(* 1/48 t)
(* 1/48 t)
(* 1/48 (pow t 2))
(* 1/48 (pow t 2))
(* 1/48 (pow t 2))
(* 1/48 (pow t 2))
(* 1/48 (pow t 2))
(* 1/48 (pow t 2))
(* 1/48 (pow t 2))
(* 1/48 (pow t 2))
(* 1/48 (pow t 2))
(* 1/48 (pow t 2))
(* 1/48 (pow t 2))
(* 1/48 (pow t 2))
(* 1/8 (/ (pow x 3) (pow y 2)))
(* 1/8 (/ (pow x 3) (pow y 2)))
(* 1/8 (/ (pow x 3) (pow y 2)))
(* 1/8 (/ (pow x 3) (pow y 2)))
(* 1/8 (/ (pow x 3) (pow y 2)))
(* 1/8 (/ (pow x 3) (pow y 2)))
(* 1/8 (/ (pow x 3) (pow y 2)))
(* 1/8 (/ (pow x 3) (pow y 2)))
(* 1/8 (/ (pow x 3) (pow y 2)))
(* 1/8 (/ (pow x 3) (pow y 2)))
(* 1/8 (/ (pow x 3) (pow y 2)))
(* 1/8 (/ (pow x 3) (pow y 2)))
(* 1/8 (/ (pow x 3) (pow y 2)))
(* 1/8 (/ (pow x 3) (pow y 2)))
(* 1/8 (/ (pow x 3) (pow y 2)))
(* 1/8 (/ (pow x 3) (pow y 2)))
(* 1/8 (/ (pow x 3) (pow y 2)))
(* 1/8 (/ (pow x 3) (pow y 2)))
(* 1/8 (/ (pow x 3) (pow y 2)))
(* 1/8 (/ (pow x 3) (pow y 2)))
(* 1/8 (/ (pow x 3) (pow y 2)))
(* 1/8 (/ (pow x 3) (pow y 2)))
(* 1/8 (/ (pow x 3) (pow y 2)))
(* 1/8 (/ (pow x 3) (pow y 2)))
(pow y 2)
(+ (* -1/2 (* x y)) (pow y 2))
(+ (* x (+ (* -1/2 y) (* 1/4 x))) (pow y 2))
(+ (* x (+ (* -1/2 y) (* 1/4 x))) (pow y 2))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -1/2 (/ y x))))
(* (pow x 2) (+ 1/4 (+ (* -1/2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1/4 (+ (* -1/2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -1/2 (/ y x))))
(* (pow x 2) (+ 1/4 (* -1 (/ (+ (* -1 (/ (pow y 2) x)) (* 1/2 y)) x))))
(* (pow x 2) (+ 1/4 (* -1 (/ (+ (* -1 (/ (pow y 2) x)) (* 1/2 y)) x))))
(* 1/4 (pow x 2))
(+ (* -1/2 (* x y)) (* 1/4 (pow x 2)))
(+ (* 1/4 (pow x 2)) (* y (+ y (* -1/2 x))))
(+ (* 1/4 (pow x 2)) (* y (+ y (* -1/2 x))))
(pow y 2)
(* (pow y 2) (+ 1 (* -1/2 (/ x y))))
(* (pow y 2) (- (+ 1 (* 1/4 (/ (pow x 2) (pow y 2)))) (* 1/2 (/ x y))))
(* (pow y 2) (- (+ 1 (* 1/4 (/ (pow x 2) (pow y 2)))) (* 1/2 (/ x y))))
(pow y 2)
(* (pow y 2) (+ 1 (* -1/2 (/ x y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1/4 (/ (pow x 2) y)) (* 1/2 x)) y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1/4 (/ (pow x 2) y)) (* 1/2 x)) y))))

Outputs
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(+.f64 (.f64 (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (.f64 (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))
(+.f64 (.f64 (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 (.f64 t t) (+.f64 (.f64 (.f64 (.f64 t t) (.f64 (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))) #s(literal 1/8 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))))
(+.f64 (.f64 (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 (.f64 t t) (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))) (.f64 (.f64 t t) (+.f64 (.f64 (.f64 (.f64 t t) (.f64 (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))) #s(literal 1/48 binary64)) (.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 z)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))))))
(* 1/48 (* (* (pow t 6) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z)))
(.f64 #s(literal 1/48 binary64) (.f64 (pow.f64 t #s(literal 6 binary64)) (.f64 (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
(* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z)))))
(.f64 (pow.f64 t #s(literal 6 binary64)) (+.f64 (.f64 (.f64 (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) #s(literal 1/48 binary64)) (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 t t)))))
(* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))) (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z))))))
(.f64 (pow.f64 t #s(literal 6 binary64)) (+.f64 (.f64 (.f64 (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) #s(literal 1/48 binary64)) (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 t t))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (pow.f64 t #s(literal 4 binary64)))))))
(* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))) (+ (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 6)) (sqrt z))))))
(.f64 (pow.f64 t #s(literal 6 binary64)) (+.f64 (.f64 (.f64 (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) #s(literal 1/48 binary64)) (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 t t))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (pow.f64 t #s(literal 4 binary64)))) (/.f64 (.f64 (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (pow.f64 t #s(literal 6 binary64)))))))
(* 1/48 (* (* (pow t 6) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z)))
(.f64 #s(literal 1/48 binary64) (.f64 (pow.f64 t #s(literal 6 binary64)) (.f64 (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
(* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z)))))
(.f64 (pow.f64 t #s(literal 6 binary64)) (+.f64 (.f64 (.f64 (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) #s(literal 1/48 binary64)) (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 t t)))))
(* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))) (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z))))))
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(* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))) (+ (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 6)) (sqrt z))))))
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(* (pow t 6) (+ (* 1/48 (* (/ (* (sqrt 2) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (* (- 1 (+ (* -1/2 (/ x y)) (* 1/8 (/ (pow x 3) (pow y 3))))) (- (* 1/2 x) y)))) (pow y 2)) (sqrt z))) (* 1/8 (* (/ (* (sqrt 2) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (* (- 1 (+ (* -1/2 (/ x y)) (* 1/8 (/ (pow x 3) (pow y 3))))) (- (* 1/2 x) y)))) (* (pow t 2) (pow y 2))) (sqrt z)))))
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(* (pow t 6) (+ (* 1/48 (* (/ (* (sqrt 2) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (* (- 1 (+ (* -1/2 (/ x y)) (* 1/8 (/ (pow x 3) (pow y 3))))) (- (* 1/2 x) y)))) (pow y 2)) (sqrt z))) (+ (* 1/8 (* (/ (* (sqrt 2) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (* (- 1 (+ (* -1/2 (/ x y)) (* 1/8 (/ (pow x 3) (pow y 3))))) (- (* 1/2 x) y)))) (* (pow t 2) (pow y 2))) (sqrt z))) (* 1/2 (* (/ (* (sqrt 2) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (* (- 1 (+ (* -1/2 (/ x y)) (* 1/8 (/ (pow x 3) (pow y 3))))) (- (* 1/2 x) y)))) (* (pow t 4) (pow y 2))) (sqrt z))))))
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(* (pow t 6) (+ (* 1/48 (* (/ (* (sqrt 2) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (* (- 1 (+ (* -1/2 (/ x y)) (* 1/8 (/ (pow x 3) (pow y 3))))) (- (* 1/2 x) y)))) (pow y 2)) (sqrt z))) (+ (* 1/8 (* (/ (* (sqrt 2) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (* (- 1 (+ (* -1/2 (/ x y)) (* 1/8 (/ (pow x 3) (pow y 3))))) (- (* 1/2 x) y)))) (* (pow t 2) (pow y 2))) (sqrt z))) (+ (* 1/2 (* (/ (* (sqrt 2) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (* (- 1 (+ (* -1/2 (/ x y)) (* 1/8 (/ (pow x 3) (pow y 3))))) (- (* 1/2 x) y)))) (* (pow t 4) (pow y 2))) (sqrt z))) (* (/ (* (sqrt 2) (* (+ (* 1/4 (pow x 2)) (* y (- y (* 1/2 x)))) (* (- 1 (+ (* -1/2 (/ x y)) (* 1/8 (/ (pow x 3) (pow y 3))))) (- (* 1/2 x) y)))) (* (pow t 6) (pow y 2))) (sqrt z))))))
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(* -1 (* (* y (sqrt 2)) (sqrt z)))
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(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* x (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (/ (* x (* (sqrt 2) (+ (* -1/4 y) (* 1/4 y)))) (pow y 2)) (sqrt z)))))
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(* -1/64 (* (/ (* (pow x 6) (sqrt 2)) (pow y 5)) (sqrt z)))
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(* (pow x 6) (+ (* -1/16 (* (/ (sqrt 2) (* (pow x 2) (pow y 3))) (sqrt z))) (+ (* -1/64 (* (/ (sqrt 2) (pow y 5)) (sqrt z))) (* 1/16 (* (/ (sqrt 2) (* x (pow y 4))) (sqrt z))))))
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(* (pow x 6) (+ (* -1/16 (* (/ (sqrt 2) (* (pow x 2) (pow y 3))) (sqrt z))) (+ (* -1/64 (* (/ (sqrt 2) (pow y 5)) (sqrt z))) (+ (* 1/16 (* (/ (sqrt 2) (* x (pow y 4))) (sqrt z))) (* (/ (* (sqrt 2) (+ (* -1/4 y) (* 1/4 y))) (* (pow x 4) (pow y 2))) (sqrt z))))))
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(* -1/64 (* (/ (* (pow x 6) (sqrt 2)) (pow y 5)) (sqrt z)))
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(* (pow x 6) (+ (* -1 (/ (+ (* -1/16 (* (/ (sqrt 2) (pow y 4)) (sqrt z))) (* 1/16 (* (/ (sqrt 2) (* x (pow y 3))) (sqrt z)))) x)) (* -1/64 (* (/ (sqrt 2) (pow y 5)) (sqrt z)))))
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(* (pow x 6) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (/ (* (sqrt 2) (+ (* -1/2 y) (* 1/2 y))) (* (pow x 2) (pow y 2))) (sqrt z))) (* -1/16 (* (/ (sqrt 2) (pow y 3)) (sqrt z)))) x)) (* -1/16 (* (/ (sqrt 2) (pow y 4)) (sqrt z)))) x)) (* -1/64 (* (/ (sqrt 2) (pow y 5)) (sqrt z)))))
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(* -1/64 (* (/ (* (pow x 6) (sqrt 2)) (pow y 5)) (sqrt z)))
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(/ (+ (* -1/64 (* (* (pow x 6) (sqrt 2)) (sqrt z))) (* 1/16 (* (* (pow x 5) (* y (sqrt 2))) (sqrt z)))) (pow y 5))
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(/ (+ (* -1/64 (* (* (pow x 6) (sqrt 2)) (sqrt z))) (* y (+ (* 1/16 (* (* (pow x 5) (sqrt 2)) (sqrt z))) (* (* y (* (sqrt 2) (+ (* -1/8 (pow x 4)) (* 1/16 (pow x 4))))) (sqrt z))))) (pow y 5))
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(.f64 y (+.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) y) (+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (.f64 y y)) (+.f64 (+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/4 binary64)) (.f64 y (.f64 y y))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y)))) (+.f64 (/.f64 x y) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 y y))))) #s(literal -1 binary64))))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (+ 1 (* -1 (/ (+ x (* -1/2 x)) y)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal -1/2 binary64)) y)) (-.f64 #s(literal 0 binary64) y))
(* -1 (* y (+ 1 (* -1 (/ (+ x (+ (* -1 (/ (+ (* -1/4 (pow x 2)) (+ (* 1/4 (pow x 2)) (* 1/2 (* x (+ (* -1/2 x) (* 1/2 x)))))) y)) (* -1/2 x))) y)))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (-.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 0 binary64))) y))) y)) (-.f64 #s(literal 0 binary64) y))
(* -1 (* y (+ 1 (* -1 (/ (+ x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow x 3)) (+ (* 1/8 (pow x 3)) (* 1/4 (* (pow x 2) (+ (* -1/2 x) (* 1/2 x)))))) y)) (+ (* -1/4 (pow x 2)) (+ (* 1/4 (pow x 2)) (* 1/2 (* x (+ (* -1/2 x) (* 1/2 x))))))) y)) (* -1/2 x))) y)))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (-.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 (+.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 0 binary64))) (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) #s(literal 0 binary64))) y)) y))) y)) (-.f64 #s(literal 0 binary64) y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(+ (* 1/2 (/ x (pow y 3))) (/ 1 (pow y 2)))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y (.f64 y y))))
(+ (* x (+ (* -1/8 (/ (pow x 2) (pow y 5))) (* 1/2 (/ 1 (pow y 3))))) (/ 1 (pow y 2)))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 x (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 y (.f64 y y))))))
(+ (* x (+ (* -1/8 (/ (pow x 2) (pow y 5))) (* 1/2 (/ 1 (pow y 3))))) (/ 1 (pow y 2)))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 x (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 y (.f64 y y))))))
(* -1/8 (/ (pow x 3) (pow y 5)))
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x x))) (pow.f64 y #s(literal 5 binary64)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow x 2) (pow y 3)))) (* 1/8 (/ 1 (pow y 5)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 y (.f64 y y))) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 5 binary64)))))
(* (pow x 3) (- (+ (/ 1/2 (* (pow x 2) (pow y 3))) (/ 1 (* (pow x 3) (pow y 2)))) (* 1/8 (/ 1 (pow y 5)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 y (.f64 y y))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (*.f64 y y)) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 5 binary64))))))
(* (pow x 3) (- (+ (/ 1/2 (* (pow x 2) (pow y 3))) (/ 1 (* (pow x 3) (pow y 2)))) (* 1/8 (/ 1 (pow y 5)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 y (.f64 y y))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (*.f64 y y)) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 5 binary64))))))
(* -1/8 (/ (pow x 3) (pow y 5)))
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x x))) (pow.f64 y #s(literal 5 binary64)))
(* -1 (* (pow x 3) (- (* 1/8 (/ 1 (pow y 5))) (* 1/2 (/ 1 (* (pow x 2) (pow y 3)))))))
(.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 5 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 y (.f64 y y)))) (.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow y 3))) (/ 1 (* x (pow y 2)))) (pow x 2))) (* 1/8 (/ 1 (pow y 5))))))
(.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 5 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y y)))) (.f64 x x))) (.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow y 3))) (/ 1 (* x (pow y 2)))) (pow x 2))) (* 1/8 (/ 1 (pow y 5))))))
(.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 5 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y y)))) (.f64 x x))) (.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x))))
(* -1/8 (/ (pow x 3) (pow y 5)))
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x x))) (pow.f64 y #s(literal 5 binary64)))
(/ (+ (* -1/8 (pow x 3)) (* 1/2 (* x (pow y 2)))) (pow y 5))
(/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 y y)))) (pow.f64 y #s(literal 5 binary64)))
(/ (+ (* -1/8 (pow x 3)) (* (pow y 2) (+ y (* 1/2 x)))) (pow y 5))
(/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 y y) (+.f64 (.f64 #s(literal 1/2 binary64) x) y))) (pow.f64 y #s(literal 5 binary64)))
(/ (+ (* -1/8 (pow x 3)) (* (pow y 2) (+ y (* 1/2 x)))) (pow y 5))
(/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 y y) (+.f64 (.f64 #s(literal 1/2 binary64) x) y))) (pow.f64 y #s(literal 5 binary64)))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ (+ 1 (* 1/2 (/ x y))) (pow y 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 y y))
(/ (+ 1 (+ (* -1/8 (/ (pow x 3) (pow y 3))) (* 1/2 (/ x y)))) (pow y 2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) y) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))))) (*.f64 y y))
(/ (+ 1 (+ (* -1/8 (/ (pow x 3) (pow y 3))) (* 1/2 (/ x y)))) (pow y 2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) y) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))))) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ (+ 1 (* 1/2 (/ x y))) (pow y 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 y y))
(/ (+ 1 (* -1 (/ (+ (* -1/2 x) (* 1/8 (/ (pow x 3) (pow y 2)))) y))) (pow y 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y y))) y)) (.f64 y y))
(/ (+ 1 (* -1 (/ (+ (* -1/2 x) (* 1/8 (/ (pow x 3) (pow y 2)))) y))) (pow y 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y y))) y)) (.f64 y y))
(* 1/48 t)
(*.f64 t #s(literal 1/48 binary64))
(* 1/48 t)
(*.f64 t #s(literal 1/48 binary64))
(* 1/48 t)
(*.f64 t #s(literal 1/48 binary64))
(* 1/48 t)
(*.f64 t #s(literal 1/48 binary64))
(* 1/48 t)
(*.f64 t #s(literal 1/48 binary64))
(* 1/48 t)
(*.f64 t #s(literal 1/48 binary64))
(* 1/48 t)
(*.f64 t #s(literal 1/48 binary64))
(* 1/48 t)
(*.f64 t #s(literal 1/48 binary64))
(* 1/48 t)
(*.f64 t #s(literal 1/48 binary64))
(* 1/48 t)
(*.f64 t #s(literal 1/48 binary64))
(* 1/48 t)
(*.f64 t #s(literal 1/48 binary64))
(* 1/48 t)
(*.f64 t #s(literal 1/48 binary64))
(* 1/48 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/48 binary64))
(* 1/48 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/48 binary64))
(* 1/48 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/48 binary64))
(* 1/48 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/48 binary64))
(* 1/48 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/48 binary64))
(* 1/48 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/48 binary64))
(* 1/48 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/48 binary64))
(* 1/48 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/48 binary64))
(* 1/48 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/48 binary64))
(* 1/48 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/48 binary64))
(* 1/48 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/48 binary64))
(* 1/48 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/48 binary64))
(* 1/8 (/ (pow x 3) (pow y 2)))
(/.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y y))
(* 1/8 (/ (pow x 3) (pow y 2)))
(/.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y y))
(* 1/8 (/ (pow x 3) (pow y 2)))
(/.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y y))
(* 1/8 (/ (pow x 3) (pow y 2)))
(/.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y y))
(* 1/8 (/ (pow x 3) (pow y 2)))
(/.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y y))
(* 1/8 (/ (pow x 3) (pow y 2)))
(/.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y y))
(* 1/8 (/ (pow x 3) (pow y 2)))
(/.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y y))
(* 1/8 (/ (pow x 3) (pow y 2)))
(/.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y y))
(* 1/8 (/ (pow x 3) (pow y 2)))
(/.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y y))
(* 1/8 (/ (pow x 3) (pow y 2)))
(/.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y y))
(* 1/8 (/ (pow x 3) (pow y 2)))
(/.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y y))
(* 1/8 (/ (pow x 3) (pow y 2)))
(/.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y y))
(* 1/8 (/ (pow x 3) (pow y 2)))
(/.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y y))
(* 1/8 (/ (pow x 3) (pow y 2)))
(/.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y y))
(* 1/8 (/ (pow x 3) (pow y 2)))
(/.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y y))
(* 1/8 (/ (pow x 3) (pow y 2)))
(/.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y y))
(* 1/8 (/ (pow x 3) (pow y 2)))
(/.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y y))
(* 1/8 (/ (pow x 3) (pow y 2)))
(/.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y y))
(* 1/8 (/ (pow x 3) (pow y 2)))
(/.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y y))
(* 1/8 (/ (pow x 3) (pow y 2)))
(/.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y y))
(* 1/8 (/ (pow x 3) (pow y 2)))
(/.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y y))
(* 1/8 (/ (pow x 3) (pow y 2)))
(/.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y y))
(* 1/8 (/ (pow x 3) (pow y 2)))
(/.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y y))
(* 1/8 (/ (pow x 3) (pow y 2)))
(/.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y y))
(pow y 2)
(*.f64 y y)
(+ (* -1/2 (* x y)) (pow y 2))
(.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64))))
(+ (* x (+ (* -1/2 y) (* 1/4 x))) (pow y 2))
(+.f64 (.f64 y y) (.f64 x (+.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 x #s(literal 1/4 binary64)))))
(+ (* x (+ (* -1/2 y) (* 1/4 x))) (pow y 2))
(+.f64 (.f64 y y) (.f64 x (+.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 x #s(literal 1/4 binary64)))))
(* 1/4 (pow x 2))
(.f64 #s(literal 1/4 binary64) (.f64 x x))
(* (pow x 2) (+ 1/4 (* -1/2 (/ y x))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x)))
(* (pow x 2) (+ 1/4 (+ (* -1/2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (.f64 y #s(literal -1/2 binary64)) x) (/.f64 (.f64 y y) (*.f64 x x)))))
(* (pow x 2) (+ 1/4 (+ (* -1/2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (.f64 y #s(literal -1/2 binary64)) x) (/.f64 (.f64 y y) (*.f64 x x)))))
(* 1/4 (pow x 2))
(.f64 #s(literal 1/4 binary64) (.f64 x x))
(* (pow x 2) (+ 1/4 (* -1/2 (/ y x))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x)))
(* (pow x 2) (+ 1/4 (* -1 (/ (+ (* -1 (/ (pow y 2) x)) (* 1/2 y)) x))))
(.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) y) (/.f64 (.f64 y y) x)) x)))
(* (pow x 2) (+ 1/4 (* -1 (/ (+ (* -1 (/ (pow y 2) x)) (* 1/2 y)) x))))
(.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) y) (/.f64 (.f64 y y) x)) x)))
(* 1/4 (pow x 2))
(.f64 #s(literal 1/4 binary64) (.f64 x x))
(+ (* -1/2 (* x y)) (* 1/4 (pow x 2)))
(+.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 #s(literal -1/2 binary64) (.f64 x y)))
(+ (* 1/4 (pow x 2)) (* y (+ y (* -1/2 x))))
(+.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))))
(+ (* 1/4 (pow x 2)) (* y (+ y (* -1/2 x))))
(+.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (* -1/2 (/ x y))))
(.f64 (.f64 y y) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
(* (pow y 2) (- (+ 1 (* 1/4 (/ (pow x 2) (pow y 2)))) (* 1/2 (/ x y))))
(.f64 (.f64 y y) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (/.f64 (.f64 x #s(literal -1/2 binary64)) y))))
(* (pow y 2) (- (+ 1 (* 1/4 (/ (pow x 2) (pow y 2)))) (* 1/2 (/ x y))))
(.f64 (.f64 y y) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (/.f64 (.f64 x #s(literal -1/2 binary64)) y))))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (* -1/2 (/ x y))))
(.f64 (.f64 y y) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1/4 (/ (pow x 2) y)) (* 1/2 x)) y))))
(.f64 (.f64 y y) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 x x) y))) y)))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1/4 (/ (pow x 2) y)) (* 1/2 x)) y))))
(.f64 (.f64 y y) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 x x) y))) y)))

eval290.0ms (1.7%)

Compiler: Compiled 75732 to 3625 computations (95.2% saved)

prune264.0ms (1.5%)

Pruning

44 alts after pruning (42 fresh and 2 done)

	Pruned	Kept	Total
New	1534	13	1547
Fresh	6	29	35
Picked	3	2	5
Done	0	0	0
Total	1543	44	1587

Accuracy

100.0%

Counts

1587 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
	20.4%	(/.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 y (.f64 y (.f64 y y)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) y))
	18.2%	(/.f64 (.f64 (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))))))
	34.1%	(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y))
✓	22.6%	(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) y))
	57.9%	(/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
	57.8%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))))
	57.8%	(.f64 (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)))
	20.6%	(.f64 (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (-.f64 #s(literal 0 binary64) (.f64 y y))) (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
	17.7%	(.f64 (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y))) (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
	46.9%	(.f64 (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y)) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)))
	23.1%	(.f64 (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 x (*.f64 x #s(literal 1/4 binary64))))
	52.0%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))) (.f64 t (.f64 (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))) (.f64 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))))))) (.f64 t t)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))) (-.f64 (.f64 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 t t) #s(literal 1/48 binary64))))) #s(literal 1/2 binary64))))))))
	88.0%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 t t)))))
	91.4%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (+.f64 (.f64 #s(literal 2 binary64) z) (.f64 (.f64 t t) (.f64 z (+.f64 #s(literal 2 binary64) (*.f64 t t)))))))
	84.7%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 t t))))))
	95.9%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/6 binary64)))))))))))
	57.9%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
	89.5%	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 t t)))) y) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
	23.4%	(.f64 (.f64 (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (*.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) x)
	49.6%	(.f64 (.f64 (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))))) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (*.f64 t #s(literal 1/48 binary64)))))))))
	57.8%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
	87.7%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)) #s(literal 1 binary64)))
	94.4%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t #s(literal 1/8 binary64)))))))
	35.9%	(.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
	97.0%	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))))) t)) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
	69.1%	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))))) (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
	69.3%	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64))))))))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)))
	54.1%	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64))))))))) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
	89.5%	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 t t))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
	24.4%	(.f64 (.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y y))) y)) (.f64 y y)) (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (.f64 y y)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))))
	31.9%	(.f64 (.f64 (.f64 (/.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 x (.f64 #s(literal 1/8 binary64) (.f64 x x))) (.f64 y (.f64 y y)))) (/.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64))))) (/.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (-.f64 y (.f64 x #s(literal 1/2 binary64)))))))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (*.f64 t #s(literal 1/48 binary64)))))))))
	71.2%	(.f64 (.f64 (.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 1/2 binary64)) y))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))))
	30.8%	(.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64))))) (/.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y)))))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))))
	57.6%	(.f64 (.f64 (.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
	59.8%	(.f64 (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
	24.8%	(.f64 (.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
	24.8%	(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
	53.0%	(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))))
✓	24.9%	(.f64 (.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) x)
	38.4%	(.f64 (.f64 (sqrt.f64 z) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (.f64 #s(literal 8 binary64) (.f64 (.f64 y (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (*.f64 t #s(literal 1/48 binary64)))))))))
	54.5%	(.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))))))
	58.1%	(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)))))
	58.1%	(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))))
	89.3%	(.f64 (sqrt.f64 z) (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)) #s(literal 1 binary64)) (.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))))

Compiler

Compiled 3643 to 1239 computations (66% saved)

regimes465.0ms (2.7%)

Counts

82 → 1

Calls

Call 1

Inputs
(.f64 (.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) x)
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (*.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) x)
(.f64 (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(.f64 (.f64 (.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (+.f64 (*.f64 t t) #s(literal 1 binary64))))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 t t))))))
(.f64 (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 x (*.f64 x #s(literal 1/4 binary64))))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 t t))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)) #s(literal 1 binary64)))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 t t)))))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 t t)))) y) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y)) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)))
(/.f64 (.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (+.f64 (.f64 #s(literal 2 binary64) z) (.f64 (.f64 t t) (.f64 z (+.f64 #s(literal 2 binary64) (*.f64 t t)))))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t #s(literal 1/8 binary64)))))))
(.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))))))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64))))))))) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))))) (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (*.f64 t #s(literal 1/48 binary64)))))))))
(.f64 (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (-.f64 #s(literal 0 binary64) (.f64 y y))) (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64))))))))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))))) t)) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/6 binary64)))))))))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))))))))
(.f64 (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y))) (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(.f64 (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y))) (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(/.f64 (.f64 (-.f64 (.f64 x (.f64 #s(literal 1/8 binary64) (.f64 x x))) (.f64 y (.f64 y y))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(.f64 (.f64 (.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) y))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (*.f64 t #s(literal 1/48 binary64)))))))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64))))))))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))))
(/.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 y (.f64 y (.f64 y y)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(.f64 (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)))) (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(.f64 (.f64 (.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 1/2 binary64)) y))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))))
(.f64 (.f64 (.f64 (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (+.f64 (.f64 x (.f64 #s(literal 1/8 binary64) (.f64 x x))) (.f64 y (.f64 y y)))) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (-.f64 y (.f64 x #s(literal 1/2 binary64)))))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))))) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (*.f64 t #s(literal 1/48 binary64)))))))))
(.f64 (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (.f64 x (.f64 #s(literal 1/8 binary64) (.f64 x x))) (.f64 y (.f64 y y)))) (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (-.f64 y (.f64 x #s(literal 1/2 binary64))))))))
(/.f64 (.f64 (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))))))
(.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (-.f64 y (.f64 x #s(literal 1/2 binary64)))))))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))))
(.f64 (.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y y))) y)) (.f64 y y)) (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (.f64 y y)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))))
(.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64))))) (/.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y)))))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))))
(.f64 (/.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y)))) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64))))) (sqrt.f64 (.f64 z #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))))))
(.f64 (.f64 (.f64 (/.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 x (.f64 #s(literal 1/8 binary64) (.f64 x x))) (.f64 y (.f64 y y)))) (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (-.f64 y (.f64 x #s(literal 1/2 binary64)))))))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (*.f64 t #s(literal 1/48 binary64)))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))))) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))))))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 t t) #s(literal 1/48 binary64))))))))
(.f64 (.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y y))) y)) (.f64 y y)) (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (-.f64 y (.f64 x #s(literal 1/2 binary64)))))))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (*.f64 t #s(literal 1/48 binary64)))))))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))) (.f64 t (.f64 (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))) (.f64 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))))))) (.f64 t t)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))) (-.f64 (.f64 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 t t) #s(literal 1/48 binary64))))) #s(literal 1/2 binary64))))))))
(.f64 (.f64 (.f64 (/.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 x (.f64 #s(literal 1/8 binary64) (.f64 x x))) (.f64 y (.f64 y y)))) (/.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64))))) (/.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (-.f64 y (.f64 x #s(literal 1/2 binary64)))))))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (*.f64 t #s(literal 1/48 binary64)))))))))
(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 z))
(.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(.f64 (.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(.f64 (sqrt.f64 z) (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (/.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 y (.f64 y y))) (/.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (*.f64 x #s(literal 1/2 binary64)) y)))))
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x (.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(.f64 (sqrt.f64 z) (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)) #s(literal 1 binary64)) (.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))))
(.f64 (.f64 (sqrt.f64 z) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (.f64 #s(literal 8 binary64) (.f64 (.f64 y (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (*.f64 t #s(literal 1/48 binary64)))))))))
(.f64 (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)))

Outputs
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)))))

Calls

13 calls:

79.0ms	z
47.0ms	(*.f64 t t)
41.0ms	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
35.0ms	t
34.0ms	x

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`z`
99.8%	1	`t`
99.8%	1	`(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))`
99.8%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
99.8%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
99.8%	1	`(*.f64 x #s(literal 1/2 binary64))`
99.8%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
99.8%	1	`(*.f64 z #s(literal 2 binary64))`
99.8%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
99.8%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
99.8%	1	`(*.f64 t t)`

Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes402.0ms (2.3%)

Counts

76 → 1

Calls

Call 1

Inputs
(.f64 (.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) x)
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (*.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) x)
(.f64 (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(.f64 (.f64 (.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (+.f64 (*.f64 t t) #s(literal 1 binary64))))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 t t))))))
(.f64 (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 x (*.f64 x #s(literal 1/4 binary64))))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 t t))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)) #s(literal 1 binary64)))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 t t)))))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 t t)))) y) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y)) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)))
(/.f64 (.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (+.f64 (.f64 #s(literal 2 binary64) z) (.f64 (.f64 t t) (.f64 z (+.f64 #s(literal 2 binary64) (*.f64 t t)))))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t #s(literal 1/8 binary64)))))))
(.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))))))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64))))))))) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))))) (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (*.f64 t #s(literal 1/48 binary64)))))))))
(.f64 (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (-.f64 #s(literal 0 binary64) (.f64 y y))) (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64))))))))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))))) t)) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/6 binary64)))))))))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))))))))
(.f64 (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y))) (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(.f64 (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y))) (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(/.f64 (.f64 (-.f64 (.f64 x (.f64 #s(literal 1/8 binary64) (.f64 x x))) (.f64 y (.f64 y y))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(.f64 (.f64 (.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) y))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (*.f64 t #s(literal 1/48 binary64)))))))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64))))))))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))))
(/.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 y (.f64 y (.f64 y y)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(.f64 (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)))) (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(.f64 (.f64 (.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 1/2 binary64)) y))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))))
(.f64 (.f64 (.f64 (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (+.f64 (.f64 x (.f64 #s(literal 1/8 binary64) (.f64 x x))) (.f64 y (.f64 y y)))) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (-.f64 y (.f64 x #s(literal 1/2 binary64)))))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))))) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (*.f64 t #s(literal 1/48 binary64)))))))))
(.f64 (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (.f64 x (.f64 #s(literal 1/8 binary64) (.f64 x x))) (.f64 y (.f64 y y)))) (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (-.f64 y (.f64 x #s(literal 1/2 binary64))))))))
(/.f64 (.f64 (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))))))
(.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (-.f64 y (.f64 x #s(literal 1/2 binary64)))))))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))))
(.f64 (.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y y))) y)) (.f64 y y)) (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (.f64 y y)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))))
(.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64))))) (/.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y)))))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))))
(.f64 (/.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y)))) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64))))) (sqrt.f64 (.f64 z #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))))))
(.f64 (.f64 (.f64 (/.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 x (.f64 #s(literal 1/8 binary64) (.f64 x x))) (.f64 y (.f64 y y)))) (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (-.f64 y (.f64 x #s(literal 1/2 binary64)))))))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (*.f64 t #s(literal 1/48 binary64)))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))))) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))))))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 t t) #s(literal 1/48 binary64))))))))
(.f64 (.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y y))) y)) (.f64 y y)) (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (-.f64 y (.f64 x #s(literal 1/2 binary64)))))))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (*.f64 t #s(literal 1/48 binary64)))))))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))) (.f64 t (.f64 (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))) (.f64 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))))))) (.f64 t t)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))) (-.f64 (.f64 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 t t) #s(literal 1/48 binary64))))) #s(literal 1/2 binary64))))))))
(.f64 (.f64 (.f64 (/.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 x (.f64 #s(literal 1/8 binary64) (.f64 x x))) (.f64 y (.f64 y y)))) (/.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64))))) (/.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (-.f64 y (.f64 x #s(literal 1/2 binary64)))))))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (*.f64 t #s(literal 1/48 binary64)))))))))
(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 z))
(.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(.f64 (.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(.f64 (sqrt.f64 z) (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (/.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 y (.f64 y y))) (/.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (*.f64 x #s(literal 1/2 binary64)) y)))))
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)))))

Outputs
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))))

Calls

13 calls:

54.0ms	x
44.0ms	(*.f64 z #s(literal 2 binary64))
43.0ms	y
42.0ms	(*.f64 t t)
25.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`z`
99.8%	1	`t`
99.8%	1	`(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))`
99.8%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
99.8%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
99.8%	1	`(*.f64 x #s(literal 1/2 binary64))`
99.8%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
99.8%	1	`(*.f64 z #s(literal 2 binary64))`
99.8%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
99.8%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
99.8%	1	`(*.f64 t t)`

Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes1.9s (10.8%)

Counts

68 → 1

Calls

Call 1

Inputs
(.f64 (.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) x)
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (*.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) x)
(.f64 (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(.f64 (.f64 (.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (+.f64 (*.f64 t t) #s(literal 1 binary64))))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 t t))))))
(.f64 (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 x (*.f64 x #s(literal 1/4 binary64))))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 t t))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)) #s(literal 1 binary64)))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 t t)))))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 t t)))) y) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y)) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)))
(/.f64 (.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (+.f64 (.f64 #s(literal 2 binary64) z) (.f64 (.f64 t t) (.f64 z (+.f64 #s(literal 2 binary64) (*.f64 t t)))))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t #s(literal 1/8 binary64)))))))
(.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))))))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64))))))))) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))))) (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (*.f64 t #s(literal 1/48 binary64)))))))))
(.f64 (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (-.f64 #s(literal 0 binary64) (.f64 y y))) (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64))))))))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))))) t)) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/6 binary64)))))))))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))))))))
(.f64 (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y))) (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(.f64 (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y))) (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(/.f64 (.f64 (-.f64 (.f64 x (.f64 #s(literal 1/8 binary64) (.f64 x x))) (.f64 y (.f64 y y))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(.f64 (.f64 (.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) y))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (*.f64 t #s(literal 1/48 binary64)))))))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64))))))))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))))
(/.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 y (.f64 y (.f64 y y)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(.f64 (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)))) (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(.f64 (.f64 (.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 1/2 binary64)) y))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))))
(.f64 (.f64 (.f64 (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (+.f64 (.f64 x (.f64 #s(literal 1/8 binary64) (.f64 x x))) (.f64 y (.f64 y y)))) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (-.f64 y (.f64 x #s(literal 1/2 binary64)))))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))))) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (*.f64 t #s(literal 1/48 binary64)))))))))
(.f64 (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (.f64 x (.f64 #s(literal 1/8 binary64) (.f64 x x))) (.f64 y (.f64 y y)))) (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (-.f64 y (.f64 x #s(literal 1/2 binary64))))))))
(/.f64 (.f64 (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64)))))))
(.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (-.f64 y (.f64 x #s(literal 1/2 binary64)))))))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))))
(.f64 (.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y y))) y)) (.f64 y y)) (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (.f64 y y)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))))
(.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64))))) (/.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y)))))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))))
(.f64 (/.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y)))) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64))))) (sqrt.f64 (.f64 z #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))))))
(.f64 (.f64 (.f64 (/.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 x (.f64 #s(literal 1/8 binary64) (.f64 x x))) (.f64 y (.f64 y y)))) (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (-.f64 y (.f64 x #s(literal 1/2 binary64)))))))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (*.f64 t #s(literal 1/48 binary64)))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))))) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))))))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 t t) #s(literal 1/48 binary64))))))))
(.f64 (.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y y))) y)) (.f64 y y)) (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (-.f64 y (.f64 x #s(literal 1/2 binary64)))))))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (*.f64 t #s(literal 1/48 binary64)))))))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))) (.f64 t (.f64 (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))) (.f64 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))))))) (.f64 t t)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))) (-.f64 (.f64 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 t t) #s(literal 1/48 binary64))))) #s(literal 1/2 binary64))))))))
(.f64 (.f64 (.f64 (/.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 x (.f64 #s(literal 1/8 binary64) (.f64 x x))) (.f64 y (.f64 y y)))) (/.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 x #s(literal -1/2 binary64))))) (/.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (-.f64 y (.f64 x #s(literal 1/2 binary64)))))))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (*.f64 t #s(literal 1/48 binary64)))))))))
(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 z))
(.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(.f64 (.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))

Outputs

(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1/8 binary64) (*.f64 t (*.f64 t #s(literal 1/48 binary64))))))))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))

Calls

10 calls:

1.4s	(*.f64 x #s(literal 1/2 binary64))
354.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
23.0ms	x
21.0ms	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
20.0ms	t

Results

Accuracy	Segments	Branch
97.0%	1	`x`
97.0%	1	`y`
97.0%	1	`z`
97.0%	1	`t`
97.0%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
97.0%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
97.0%	1	`(*.f64 x #s(literal 1/2 binary64))`
97.0%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
97.0%	1	`(*.f64 z #s(literal 2 binary64))`
97.0%	1	`(*.f64 t t)`

Compiler

Compiled 72 to 58 computations (19.4% saved)

regimes132.0ms (0.8%)

Counts

32 → 1

Calls

Call 1

Inputs
(.f64 (.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) x)
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (*.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) x)
(.f64 (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(.f64 (.f64 (.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (+.f64 (*.f64 t t) #s(literal 1 binary64))))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 t t))))))
(.f64 (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 x (*.f64 x #s(literal 1/4 binary64))))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 t t))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)) #s(literal 1 binary64)))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 t t)))))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 t t)))) y) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y)) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)))
(/.f64 (.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (+.f64 (.f64 #s(literal 2 binary64) z) (.f64 (.f64 t t) (.f64 z (+.f64 #s(literal 2 binary64) (*.f64 t t)))))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t #s(literal 1/8 binary64)))))))
(.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))))))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64))))))))) (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))))) (-.f64 #s(literal 0 binary64) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (*.f64 t #s(literal 1/48 binary64)))))))))
(.f64 (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (-.f64 #s(literal 0 binary64) (.f64 y y))) (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))))

Outputs

(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t #s(literal 1/8 binary64)))))))

Calls

10 calls:

34.0ms	t
15.0ms	(*.f64 x #s(literal 1/2 binary64))
13.0ms	x
10.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
10.0ms	(*.f64 z #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
94.4%	1	`x`
94.4%	1	`y`
94.4%	1	`z`
94.4%	1	`t`
94.4%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
94.4%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
94.4%	1	`(*.f64 x #s(literal 1/2 binary64))`
94.4%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
94.4%	1	`(*.f64 z #s(literal 2 binary64))`
94.4%	1	`(*.f64 t t)`

Compiler

Compiled 72 to 58 computations (19.4% saved)

regimes90.0ms (0.5%)

Counts

25 → 1

Calls

Call 1

Inputs
(.f64 (.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) x)
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (*.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) x)
(.f64 (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(.f64 (.f64 (.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (+.f64 (*.f64 t t) #s(literal 1 binary64))))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 t t))))))
(.f64 (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 x (*.f64 x #s(literal 1/4 binary64))))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 t t))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)) #s(literal 1 binary64)))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 t t)))))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 t t)))) y) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y)) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)))
(/.f64 (.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (+.f64 (.f64 #s(literal 2 binary64) z) (.f64 (.f64 t t) (.f64 z (+.f64 #s(literal 2 binary64) (*.f64 t t)))))))

Outputs
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (+.f64 (.f64 #s(literal 2 binary64) z) (.f64 (.f64 t t) (.f64 z (+.f64 #s(literal 2 binary64) (*.f64 t t)))))))

Calls

10 calls:

11.0ms	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
10.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
10.0ms	z
9.0ms	(*.f64 t t)
8.0ms	(*.f64 x #s(literal 1/2 binary64))

Results

Accuracy	Segments	Branch
91.4%	1	`x`
91.4%	1	`z`
91.4%	1	`t`
91.4%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
91.4%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
91.4%	1	`(*.f64 x #s(literal 1/2 binary64))`
91.4%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
91.4%	1	`(*.f64 z #s(literal 2 binary64))`
91.4%	1	`(*.f64 t t)`
91.4%	1	`y`

Compiler

Compiled 72 to 58 computations (19.4% saved)

regimes109.0ms (0.6%)

Counts

24 → 1

Calls

Call 1

Inputs
(.f64 (.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) x)
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (*.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) x)
(.f64 (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(.f64 (.f64 (.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (+.f64 (*.f64 t t) #s(literal 1 binary64))))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 t t))))))
(.f64 (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 x (*.f64 x #s(literal 1/4 binary64))))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 t t))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)) #s(literal 1 binary64)))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 t t)))))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 t t)))) y) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y)) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)))
(/.f64 (.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y))

Outputs
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 t t)))) y) (sqrt.f64 (.f64 z #s(literal 2 binary64))))

Calls

10 calls:

23.0ms	(*.f64 x #s(literal 1/2 binary64))
18.0ms	x
10.0ms	y
9.0ms	(*.f64 z #s(literal 2 binary64))
9.0ms	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))

Results

Accuracy	Segments	Branch
89.5%	1	`x`
89.5%	1	`t`
89.5%	1	`(*.f64 x #s(literal 1/2 binary64))`
89.5%	1	`(*.f64 t t)`
89.5%	1	`y`
89.5%	1	`z`
89.5%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
89.5%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
89.5%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
89.5%	1	`(*.f64 z #s(literal 2 binary64))`

Compiler

Compiled 72 to 58 computations (19.4% saved)

regimes97.0ms (0.6%)

Counts

21 → 1

Calls

Call 1

Inputs
(.f64 (.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) x)
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (*.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) x)
(.f64 (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(.f64 (.f64 (.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (+.f64 (*.f64 t t) #s(literal 1 binary64))))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 t t))))))
(.f64 (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 x (*.f64 x #s(literal 1/4 binary64))))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 t t))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)) #s(literal 1 binary64)))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 t t)))))

Outputs
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 t t))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))

Calls

10 calls:

20.0ms	(*.f64 t t)
18.0ms	(*.f64 x #s(literal 1/2 binary64))
10.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
7.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
7.0ms	(*.f64 z #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
89.5%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
89.5%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
89.5%	1	`y`
89.5%	1	`t`
89.5%	1	`(*.f64 t t)`
89.5%	1	`x`
89.5%	1	`z`
89.5%	1	`(*.f64 x #s(literal 1/2 binary64))`
89.5%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
89.5%	1	`(*.f64 z #s(literal 2 binary64))`

Compiler

Compiled 72 to 58 computations (19.4% saved)

regimes65.0ms (0.4%)

Counts

18 → 1

Calls

Call 1

Inputs
(.f64 (.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) x)
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (*.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) x)
(.f64 (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(.f64 (.f64 (.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (+.f64 (*.f64 t t) #s(literal 1 binary64))))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 t t))))))
(.f64 (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 x (*.f64 x #s(literal 1/4 binary64))))
(/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) #s(literal 1 binary64))

Outputs
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (+.f64 (*.f64 t t) #s(literal 1 binary64))))))

Calls

10 calls:

7.0ms	t
7.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
7.0ms	x
7.0ms	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
6.0ms	(*.f64 z #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
84.7%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
84.7%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
84.7%	1	`y`
84.7%	1	`t`
84.7%	1	`(*.f64 t t)`
84.7%	1	`x`
84.7%	1	`z`
84.7%	1	`(*.f64 x #s(literal 1/2 binary64))`
84.7%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
84.7%	1	`(*.f64 z #s(literal 2 binary64))`

Compiler

Compiled 72 to 58 computations (19.4% saved)

regimes42.0ms (0.2%)

Counts

12 → 2

Calls

Call 1

Inputs
(.f64 (.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) x)
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (*.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) x)
(.f64 (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(.f64 (.f64 (.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))

Outputs

(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))

(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))

Calls

9 calls:

5.0ms	(*.f64 x #s(literal 1/2 binary64))
5.0ms	y
4.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
4.0ms	(*.f64 z #s(literal 2 binary64))
4.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)

Results

Accuracy	Segments	Branch
59.8%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
59.8%	1	`x`
59.8%	1	`y`
59.8%	1	`z`
63.5%	2	`t`
59.8%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
59.8%	1	`(*.f64 x #s(literal 1/2 binary64))`
59.8%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
59.8%	1	`(*.f64 z #s(literal 2 binary64))`

Compiler

Compiled 65 to 53 computations (18.5% saved)

regimes74.0ms (0.4%)

Counts

8 → 1

Calls

Call 1

Inputs
(.f64 (.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) x)
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (*.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) x)

Outputs
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))

Calls

9 calls:

31.0ms	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
19.0ms	x
3.0ms	t
3.0ms	z
3.0ms	(*.f64 z #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
57.9%	1	`x`
57.9%	1	`(*.f64 x #s(literal 1/2 binary64))`
57.9%	1	`y`
57.9%	1	`z`
57.9%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
57.9%	1	`(*.f64 z #s(literal 2 binary64))`
57.9%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
57.9%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
57.9%	1	`t`

Compiler

Compiled 65 to 53 computations (18.5% saved)

regimes12.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

Inputs

(*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) x)

(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))

(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))

Outputs

(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))

(*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) x)

(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))

Calls

6 calls:

2.0ms	t
2.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
2.0ms	(*.f64 z #s(literal 2 binary64))
2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
48.9%	3	`y`
44.6%	3	`x`
35.9%	1	`t`
35.9%	1	`z`
35.9%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
35.9%	1	`(*.f64 z #s(literal 2 binary64))`

Compiler

Compiled 35 to 29 computations (17.1% saved)

regimes19.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs

(*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) x)

(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))

Outputs
(.f64 (.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) x)

Calls

6 calls:

10.0ms	(*.f64 z #s(literal 2 binary64))
2.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
2.0ms	x
2.0ms	t
1.0ms	y

Results

Accuracy	Segments	Branch
24.9%	1	`t`
24.9%	1	`z`
24.9%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
24.9%	1	`(*.f64 z #s(literal 2 binary64))`
24.9%	1	`x`
24.9%	1	`y`

Compiler

Compiled 35 to 29 computations (17.1% saved)

bsearch5.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
5.0ms	2.530151047609749e-5	0.8109653486621494

Results

3.0ms

32×

valid

Compiler

Compiled 96 to 75 computations (21.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-mult: 1.0ms (47.5% of total)

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

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

ival-exp: 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)

bsearch39.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	13730573807.799284	20255979833.81294
25.0ms	-7.765119118039638e-57	-3.7713697147595646e-88

Results

26.0ms

240×

valid

Compiler

Compiled 448 to 381 computations (15% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 8.0ms (47.4% of total)

ival-exp: 3.0ms (17.8% of total)

ival-div: 2.0ms (11.9% of total)

ival-sqrt: 2.0ms (11.9% of total)

ival-sub: 1.0ms (5.9% of total)

const: 0.0ms (0% of total)

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

simplify20.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

92×	`*-commutative_binary64`
38×	`+-commutative_binary64`
36×	`neg-mul-1_binary64`
30×	`unsub-neg_binary64`
20×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	228
1	150	228
2	165	228
3	185	228
4	199	228
5	205	228
6	209	228
7	228	228
8	260	228

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64))))))))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t #s(literal 1/8 binary64)))))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (+.f64 (.f64 #s(literal 2 binary64) z) (.f64 (.f64 t t) (.f64 z (+.f64 #s(literal 2 binary64) (*.f64 t t)))))))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 t t)))) y) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 t t))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (+.f64 (*.f64 t t) #s(literal 1 binary64))))))
(if (<=.f64 t #s(literal 5764607523034235/1152921504606846976 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(if (<=.f64 y #s(literal -2845706385096283/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) (.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 17500000000 binary64)) (.f64 (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) x) (.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))))
(.f64 (.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) x)

Outputs
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64))))))))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))))) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t #s(literal 1/8 binary64)))))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (+.f64 (.f64 #s(literal 2 binary64) z) (.f64 (.f64 t t) (.f64 z (+.f64 #s(literal 2 binary64) (*.f64 t t)))))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (+.f64 (.f64 z #s(literal 2 binary64)) (.f64 (.f64 t t) (.f64 z (+.f64 #s(literal 2 binary64) (*.f64 t t)))))))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 t t)))) y) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 t t)))) y))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 t t))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 t t)))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (+.f64 (*.f64 t t) #s(literal 1 binary64))))))
(if (<=.f64 t #s(literal 5764607523034235/1152921504606846976 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(if (<=.f64 t #s(literal 5764607523034235/1152921504606846976 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(if (<=.f64 y #s(literal -2845706385096283/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) (.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 17500000000 binary64)) (.f64 (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) x) (.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -2845706385096283/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) y)) (if (<=.f64 y #s(literal 17500000000 binary64)) (.f64 x (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 z #s(literal 2 binary64))))) (.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) y))))
(.f64 (.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) x)
(.f64 x (.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))

soundness2.8s (16.3%)

Rules

7070×	`-lowering-.f32`
7070×	`-lowering-.f64`
6270×	`-lowering-.f32`
6270×	`-lowering-.f64`
4420×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1032	15372
1	3779	14946
0	8212	14946
0	784	12155
1	2887	10968
2	7873	10968
0	8160	10968
0	136	2253
1	475	1858
2	1782	1708
3	5718	1687
0	8205	1687
0	52	230
1	258	226
2	2185	226
0	8732	226
0	56	292
1	332	250
2	3090	216
0	8639	216
0	15	40
1	56	39
2	290	39
3	2665	39
0	8425	39

Stop Event

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

Compiler

Compiled 777 to 484 computations (37.7% saved)

preprocess80.0ms (0.5%)

Remove: (abs t)
Compiler: Compiled 796 to 392 computations (50.8% saved)

Iter	Nodes	Cost
0	85	228
1	150	228
2	165	228
3	185	228
4	199	228
5	205	228
6	209	228
7	228	228
8	260	228

Iter	Nodes	Cost
0	85	228
1	150	228
2	165	228
3	185	228
4	199	228
5	205	228
6	209	228
7	228	228
8	260	228

analyze235.0ms (1.4%)

sample2.0s (11.8%)

preprocess195.0ms (1.1%)

explain136.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify144.0ms (0.8%)

localize89.0ms (0.5%)

series21.0ms (0.1%)

rewrite304.0ms (1.8%)

simplify360.0ms (2.1%)

eval84.0ms (0.5%)

prune83.0ms (0.5%)

simplify269.0ms (1.6%)

localize316.0ms (1.8%)

series88.0ms (0.5%)

rewrite398.0ms (2.3%)

simplify515.0ms (3%)

eval245.0ms (1.4%)

prune306.0ms (1.8%)

simplify247.0ms (1.4%)

localize408.0ms (2.4%)

series177.0ms (1%)

rewrite433.0ms (2.5%)

simplify509.0ms (2.9%)

eval650.0ms (3.7%)

prune563.0ms (3.2%)

simplify304.0ms (1.8%)

localize368.0ms (2.1%)

series100.0ms (0.6%)

rewrite431.0ms (2.5%)

simplify418.0ms (2.4%)

eval290.0ms (1.7%)

prune264.0ms (1.5%)

regimes465.0ms (2.7%)

regimes402.0ms (2.3%)

regimes1.9s (10.8%)

regimes132.0ms (0.8%)

regimes90.0ms (0.5%)

regimes109.0ms (0.6%)

regimes97.0ms (0.6%)

regimes65.0ms (0.4%)

regimes42.0ms (0.2%)

regimes74.0ms (0.4%)

regimes12.0ms (0.1%)

regimes19.0ms (0.1%)

bsearch5.0ms (0%)

bsearch39.0ms (0.2%)

simplify20.0ms (0.1%)

soundness2.8s (16.3%)

preprocess80.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	85	228
1	150	228
2	165	228
3	185	228
4	199	228
5	205	228
6	209	228
7	228	228
8	260	228