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

analyze190.0ms (0.4%)

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: 111.0ms

ival-div: 50.0ms (45.1% of total)

ival-mult: 36.0ms (32.5% of total)

ival-exp: 10.0ms (9% of total)

ival-sqrt: 7.0ms (6.3% of total)

ival-sub: 6.0ms (5.4% of total)

const: 2.0ms (1.8% of total)

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

sample2.0s (4.4%)

Results

1.3s	8256×	0	valid
274.0ms	2048×	0	invalid

Precisions

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

ival-mult: 667.0ms (63.9% of total)

ival-div: 104.0ms (10% of total)

ival-exp: 94.0ms (9% of total)

ival-sqrt: 89.0ms (8.5% of total)

ival-sub: 64.0ms (6.1% of total)

const: 21.0ms (2% of total)

backward-pass: 4.0ms (0.4% of total)

Bogosity

preprocess213.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

2234×	`sum3-define`
1798×	`fnmsub-define`
1790×	`fmsub-define`
1536×	`sum5-define`
1384×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	218
1	213	212
2	538	212
3	1674	210
4	5094	210
0	15	14
1	30	14
2	54	14
3	115	14
4	276	14
5	496	14
6	801	14
7	1378	14
8	3639	14
9	6076	14
10	7536	14
11	7982	14
0	8006	14

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)))
(* (sqrt (* z 2)) (* (fnmsub x -1/2 y) (sqrt (exp (square t)))))
(* (* (- (* (neg x) 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2)))
(* (sqrt (exp (square t))) (* (sqrt (* z 2)) (fnmsub x 1/2 y)))
(* (* (- (* x 1/2) (neg y)) (sqrt (* z 2))) (exp (/ (* t t) 2)))
(* (sqrt (exp (square t))) (* (sqrt (* z 2)) (fma x 1/2 y)))
(* (* (- (* x 1/2) y) (sqrt (* (neg z) 2))) (exp (/ (* t t) 2)))
(* (sqrt (exp (square t))) (* (fnmsub x -1/2 y) (sqrt (* z -2))))
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* (neg t) (neg t)) 2)))
(* (sqrt (* z 2)) (* (fnmsub x -1/2 y) (sqrt (exp (square t)))))
(neg (* (* (- (* (neg x) 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))))
(* (sqrt (exp (square t))) (* (sqrt (* z 2)) (fma x 1/2 y)))
(neg (* (* (- (* x 1/2) (neg y)) (sqrt (* z 2))) (exp (/ (* t t) 2))))
(* (sqrt (exp (square t))) (* (sqrt (* z 2)) (fnmsub x 1/2 y)))
(neg (* (* (- (* x 1/2) y) (sqrt (* (neg z) 2))) (exp (/ (* t t) 2))))
(* (sqrt (exp (square t))) (* (sqrt (* z -2)) (fma x -1/2 y)))
(neg (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* (neg t) (neg t)) 2))))
(* (sqrt (* z 2)) (* (sqrt (exp (square t))) (fma x -1/2 y)))
(* (* (- (* y 1/2) x) (sqrt (* z 2))) (exp (/ (* t t) 2)))
(* (sqrt (* z 2)) (* (sqrt (exp (square t))) (fnmsub y -1/2 x)))
(* (* (- (* z 1/2) y) (sqrt (* x 2))) (exp (/ (* t t) 2)))
(* (sqrt (exp (square 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 (exp (square x))))
(* (* (- (* x 1/2) z) (sqrt (* y 2))) (exp (/ (* t t) 2)))
(* (sqrt (exp (square t))) (* (fnmsub x -1/2 z) (sqrt (* y 2))))
(* (* (- (* x 1/2) t) (sqrt (* z 2))) (exp (/ (* y y) 2)))
(* (sqrt (* z 2)) (* (fnmsub x -1/2 t) (sqrt (exp (square y)))))
(* (* (- (* x 1/2) y) (sqrt (* t 2))) (exp (/ (* z z) 2)))
(* (* (fnmsub x -1/2 y) (sqrt (* 2 t))) (sqrt (exp (square z))))

Symmetry

(abs t)

explain225.0ms (0.5%)

FPErrors

Click to see full error table

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

Results

164.0ms

512×

valid

Compiler

Compiled 155 to 47 computations (69.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-mult: 16.0ms (29% of total)

ival-sub: 15.0ms (27.2% of total)

const: 11.0ms (19.9% of total)

ival-sqrt: 6.0ms (10.9% of total)

ival-div: 4.0ms (7.2% of total)

ival-exp: 3.0ms (5.4% 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 (0.3%)

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`
1798×	`fnmsub-define`
1790×	`fmsub-define`
1536×	`sum5-define`
1384×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	53
1	30	53
2	54	53
3	115	53
4	276	53
5	496	53
6	801	53
7	1378	53
8	3639	53
9	6076	53
10	7536	53
11	7982	53
0	8006	53

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

localize65.0ms (0.1%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	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	99.7%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
✓	accuracy	99.6%	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))

Results

45.0ms

256×

valid

Compiler

Compiled 67 to 16 computations (76.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 8.0ms (49.4% of total)

ival-div: 2.0ms (12.4% of total)

ival-exp: 2.0ms (12.4% of total)

ival-sqrt: 2.0ms (12.4% of total)

ival-sub: 1.0ms (6.2% of total)

const: 1.0ms (6.2% of total)

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

series37.0ms (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 (sqrt (* z 2))>
#<alt (exp (/ (* t t) 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 (* (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))))>
#<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)))>

Calls

36 calls:

Time	Variable		Point	Expression
21.0ms	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)))
2.0ms	z	@	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)))

rewrite479.0ms (1.1%)

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	38
1	57	37
2	293	37
3	2677	37
0	8492	37

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)
(sqrt (* z 2))
(exp (/ (* t t) 2))

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

simplify816.0ms (1.8%)

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	1782
2	1784	1633
3	5721	1612
0	8208	1612

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)
(* (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))))
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)))

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

eval61.0ms (0.1%)

Compiler: Compiled 18065 to 1480 computations (91.8% saved)

prune69.0ms (0.2%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	481	14	495
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	482	14	496

Accuracy

100.0%

Counts

496 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	72.8%	(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.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))
	99.8%	(/.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)))
	99.6%	(.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 t (/.f64 #s(literal 2 binary64) t))))))
▶	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))))))
	75.5%	(.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.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)))
	75.4%	(.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.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)))))))
	99.7%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
	86.4%	(.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)))
	91.5%	(.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) #s(literal 1/8 binary64))))))
▶	94.2%	(.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 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64))))))))))
▶	57.3%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
▶	72.8%	(.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.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)))
▶	87.2%	(.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))))
	57.1%	(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))

Compiler

Compiled 696 to 496 computations (28.7% saved)

simplify25.7s (57.2%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

3550×	`-lowering-.f32`
3550×	`-lowering-.f64`
2196×	`fma-lowering-fma.f32`
2196×	`fma-lowering-fma.f64`
2096×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	380
1	135	366
2	405	366
3	1622	366
4	5929	366
5	7808	366
0	8431	366

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

localize420.0ms (0.9%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))
✓	accuracy	95.1%	(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (*.f64 y y))
✓	accuracy	94.6%	(.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))))
✓	accuracy	81.8%	(.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.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)))
✓	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	96.7%	(.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	96.4%	(.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	99.7%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
✓	accuracy	99.6%	(.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 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64))))))))))
✓	accuracy	99.6%	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓	accuracy	99.6%	(*.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	99.7%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
✓	accuracy	99.6%	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓	accuracy	100.0%	(exp.f64 (*.f64 t t))
✓	accuracy	100.0%	(.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))
✓	accuracy	100.0%	(sqrt.f64 (.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

301.0ms

256×

valid

Compiler

Compiled 454 to 49 computations (89.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 118.0ms

ival-mult: 88.0ms (74.9% of total)

ival-sqrt: 10.0ms (8.5% of total)

ival-add: 6.0ms (5.1% of total)

...c/correct-round.rkt:119:19: 5.0ms (4.3% of total)

ival-sub: 4.0ms (3.4% of total)

ival-div: 2.0ms (1.7% of total)

ival-exp: 2.0ms (1.7% of total)

const: 1.0ms (0.9% of total)

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

series83.0ms (0.2%)

Counts

22 → 564

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 (* (* (- (* 1/4 (* x x)) (* y y)) (sqrt (* z (* 2 (exp (* t t)))))) (/ 1 (+ (* x 1/2) y)))>
#<alt (* (- (* 1/4 (* x x)) (* y y)) (sqrt (* z (* 2 (exp (* t t))))))>
#<alt (- (* 1/4 (* x x)) (* y y))>
#<alt (* 1/4 (* x x))>
#<alt (* z (* 2 (exp (* t t))))>
#<alt (exp (* t t))>
#<alt (sqrt (* z 2))>
#<alt (* z 2)>
#<alt (* t 1/48)>
#<alt (* (sqrt 2) (- (* 1/2 x) y))>
#<alt (sqrt 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)))))))>
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#<alt (+ (* 1/2 (* (/ (* (pow t 2) (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2)))) (+ y (* 1/2 x))) (sqrt z))) (* (sqrt z) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))))>
#<alt (+ (* (sqrt z) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))) (* 1/2 (* (/ (* (pow t 2) (* (sqrt 2) (* (- (* 1/4 (pow x 2)) (pow y 2)) (- (* 1/2 z) (* 1/4 z))))) (+ y (* 1/2 x))) (sqrt (/ 1 z)))))))>
#<alt (+ (* (sqrt z) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (/ (* (sqrt 2) (* (- (* 1/4 (pow x 2)) (pow y 2)) (- (* 1/2 z) (* 1/4 z)))) (+ y (* 1/2 x))))) (* 1/2 (* (/ (* (pow t 2) (* (sqrt 2) (* (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))) (- (* 1/4 (pow x 2)) (pow y 2))))) (+ y (* 1/2 x))) (sqrt (/ 1 z)))))))))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))>
#<alt (* -1 (* (* (pow y 2) (sqrt 2)) (sqrt (* z (exp (pow t 2))))))>
#<alt (+ (* -1 (* (* (pow y 2) (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/4 (* (* (pow x 2) (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))>
#<alt (+ (* -1 (* (* (pow y 2) (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/4 (* (* (pow x 2) (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))>
#<alt (+ (* -1 (* (* (pow y 2) (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/4 (* (* (pow x 2) (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))>
#<alt (* 1/4 (* (* (pow x 2) (sqrt 2)) (sqrt (* z (exp (pow t 2))))))>
#<alt (* (pow x 2) (+ (* -1 (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/4 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))>
#<alt (* (pow x 2) (+ (* -1 (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/4 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))>
#<alt (* (pow x 2) (+ (* -1 (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/4 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))>
#<alt (* 1/4 (* (* (pow x 2) (sqrt 2)) (sqrt (* z (exp (pow t 2))))))>
#<alt (* (pow x 2) (+ (* -1 (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/4 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))>
#<alt (* (pow x 2) (+ (* -1 (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/4 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))>
#<alt (* (pow x 2) (+ (* -1 (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/4 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))>
#<alt (* 1/4 (* (* (pow x 2) (sqrt 2)) (sqrt (* z (exp (pow t 2))))))>
#<alt (+ (* -1 (* (* (pow y 2) (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/4 (* (* (pow x 2) (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))>
#<alt (+ (* -1 (* (* (pow y 2) (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/4 (* (* (pow x 2) (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))>
#<alt (+ (* -1 (* (* (pow y 2) (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/4 (* (* (pow x 2) (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))>
#<alt (* -1 (* (* (pow y 2) (sqrt 2)) (sqrt (* z (exp (pow t 2))))))>
#<alt (* (pow y 2) (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt (* z (exp (pow t 2))))))))>
#<alt (* (pow y 2) (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt (* z (exp (pow t 2))))))))>
#<alt (* (pow y 2) (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt (* z (exp (pow t 2))))))))>
#<alt (* -1 (* (* (pow y 2) (sqrt 2)) (sqrt (* z (exp (pow t 2))))))>
#<alt (* (pow y 2) (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt (* z (exp (pow t 2))))))))>
#<alt (* (pow y 2) (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt (* z (exp (pow t 2))))))))>
#<alt (* (pow y 2) (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt (* z (exp (pow t 2))))))))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))))>
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/4 (pow x 2)) (pow y 2))))))>
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/4 (pow x 2)) (pow y 2))))))>
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/4 (pow x 2)) (pow y 2))))))>
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/4 (pow x 2)) (pow y 2))))))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))))>
#<alt (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2)))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2)))))>
#<alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2)))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/4 (pow x 2)) (pow y 2)) (- (* 1/2 z) (* 1/4 z))))) (sqrt (/ 1 z)))))))>
#<alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2)))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (* (- (* 1/4 (pow x 2)) (pow y 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)))) (- (* 1/4 (pow x 2)) (pow y 2))))) (sqrt (/ 1 z)))))))))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))))>
#<alt (* -1 (pow y 2))>
#<alt (- (* 1/4 (pow x 2)) (pow y 2))>
#<alt (- (* 1/4 (pow x 2)) (pow y 2))>
#<alt (- (* 1/4 (pow x 2)) (pow y 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2)))))>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2)))))>
#<alt (* 1/4 (pow x 2))>
#<alt (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))>
#<alt (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))>
#<alt (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))>
#<alt (* -1 (pow y 2))>
#<alt (* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1))>
#<alt (* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1))>
#<alt (* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1))>
#<alt (* -1 (pow y 2))>
#<alt (* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1))>
#<alt (* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1))>
#<alt (* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 z)>
#<alt (+ (* 2 z) (* 2 (* (pow t 2) z)))>
#<alt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) z))))>
#<alt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (+ z (* 1/3 (* (pow t 2) z)))))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt 1>
#<alt (+ 1 (pow t 2))>
#<alt (+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2)))))>
#<alt (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))>
#<alt (exp (pow t 2))>
#<alt (exp (pow t 2))>
#<alt (exp (pow t 2))>
#<alt (exp (pow t 2))>
#<alt (exp (pow t 2))>
#<alt (exp (pow t 2))>
#<alt (exp (pow t 2))>
#<alt (exp (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))))>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<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 (* y (sqrt 2)))>
#<alt (+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2))))>
#<alt (+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2))))>
#<alt (+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2))))>
#<alt (* 1/2 (* x (sqrt 2)))>
#<alt (* x (+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2))))>
#<alt (* x (+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2))))>
#<alt (* x (+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2))))>
#<alt (* 1/2 (* x (sqrt 2)))>
#<alt (* -1 (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x))))>
#<alt (* -1 (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x))))>
#<alt (* -1 (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x))))>
#<alt (* 1/2 (* x (sqrt 2)))>
#<alt (+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2))))>
#<alt (+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2))))>
#<alt (+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2))))>
#<alt (* -1 (* y (sqrt 2)))>
#<alt (* y (+ (* -1 (sqrt 2)) (* 1/2 (/ (* x (sqrt 2)) y))))>
#<alt (* y (+ (* -1 (sqrt 2)) (* 1/2 (/ (* x (sqrt 2)) y))))>
#<alt (* y (+ (* -1 (sqrt 2)) (* 1/2 (/ (* x (sqrt 2)) y))))>
#<alt (* -1 (* y (sqrt 2)))>
#<alt (* -1 (* y (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y)))))>
#<alt (* -1 (* y (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y)))))>
#<alt (* -1 (* y (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y)))))>

Calls

141 calls:

Time	Variable		Point	Expression
7.0ms	y	@	-inf	(* (sqrt z) (* (+ (* 1/2 (* t t)) 1) (* (sqrt 2) (- (* 1/2 x) y))))
6.0ms	t	@	inf	(* (* (- (* x 1/2) y) (sqrt (* z 2))) (+ 1 (* (* t t) (+ 1/2 (* t (* t (+ 1/8 (* t (* t 1/48)))))))))
3.0ms	t	@	0	(* (- (* x 1/2) y) (sqrt (* z (* 2 (exp (* t t))))))
2.0ms	z	@	0	(* (* (- (* 1/4 (* x x)) (* y y)) (sqrt (* z (* 2 (exp (* t t)))))) (/ 1 (+ (* x 1/2) y)))
1.0ms	z	@	0	(* (* (- (* x 1/2) y) (sqrt (* z 2))) (+ 1 (* (* t t) (+ 1/2 (* t (* t (+ 1/8 (* t (* t 1/48)))))))))

rewrite614.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3638×	`-lowering-.f32`
3638×	`-lowering-.f64`
2736×	`/-lowering-/.f32`
2736×	`/-lowering-/.f64`
2668×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	175
1	246	171
2	1824	171
0	9143	171

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 626

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

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

simplify441.0ms (1%)

Algorithm

1×	egg-herbie

Rules

6702×	`-lowering-.f32`
6702×	`-lowering-.f64`
2026×	`+-lowering-+.f64`
2026×	`+-lowering-+.f32`
1728×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	446	10976
1	1641	8462
2	5456	8429
0	8246	8429

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 564

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

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

eval387.0ms (0.9%)

Compiler: Compiled 52115 to 2455 computations (95.3% saved)

prune287.0ms (0.6%)

Pruning

37 alts after pruning (37 fresh and 0 done)

	Pruned	Kept	Total
New	1543	35	1578
Fresh	7	2	9
Picked	5	0	5
Done	0	0	0
Total	1555	37	1592

Accuracy

100.0%

Counts

1592 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.2%	(/.f64 (.f64 (-.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 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 x #s(literal 1/2 binary64)) y))
	49.4%	(/.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))
	38.8%	(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y 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 (.f64 t t) #s(literal 1/48 binary64)))))))))) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y))))
	23.7%	(/.f64 (.f64 (-.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 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
	53.0%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (.f64 (.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 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 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)))))))))
▶	52.6%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.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 t t) (.f64 (.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 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 (.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 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))))))) #s(literal 1 binary64)))))
	87.1%	(.f64 (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)) (.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))))
	40.2%	(.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 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))))) (/.f64 (.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 (.f64 t t) #s(literal 1/48 binary64))))))))) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y)))))
▶	29.0%	(.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))))
	22.4%	(.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))))
	45.3%	(.f64 (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y)) (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) #s(literal 1 binary64)))
▶	94.5%	(.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 (.f64 t t) #s(literal 1/48 binary64))))))))))
▶	90.3%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (+.f64 (.f64 #s(literal 2 binary64) z) (.f64 (.f64 z (.f64 t t)) (+.f64 #s(literal 2 binary64) (*.f64 t t))))))
	88.0%	(.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))))))
	57.3%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
	62.8%	(.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))))
	94.2%	(.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 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))))
	48.7%	(.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 y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
	65.7%	(.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 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64))))))))))
	46.6%	(.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))
	86.4%	(.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)))
	91.5%	(.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) #s(literal 1/8 binary64))))))
	57.1%	(.f64 (.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
	49.4%	(.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
	58.8%	(.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 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 t (*.f64 t #s(literal 1/48 binary64))))))))))
	94.2%	(.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)))))))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
	19.6%	(.f64 (.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)))) (+.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))
	22.0%	(.f64 (.f64 (.f64 (/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 y (.f64 y (.f64 y y)))) (+.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 y))) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
	56.2%	(.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))
	57.9%	(.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))
	58.3%	(.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 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64))))))))))
▶	30.8%	(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
	56.7%	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 z))
	28.6%	(.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))
	30.7%	(.f64 (.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
	66.1%	(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))))
	87.1%	(.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 2392 to 1482 computations (38% saved)

simplify466.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

3650×	`+-lowering-+.f64`
3650×	`+-lowering-+.f32`
3556×	`-lowering-.f32`
3556×	`-lowering-.f64`
1140×	`sum5-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	715
1	172	578
2	678	575
3	3846	574
4	7439	574
0	8085	574

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize407.0ms (0.9%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
✓	accuracy	99.6%	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓	accuracy	99.6%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.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 t t) (.f64 (.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 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)))))
✓	accuracy	57.9%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.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 t t) (.f64 (.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 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 (.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 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))))))) #s(literal 1 binary64)))))
✓	accuracy	99.6%	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓	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	95.1%	(-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (*.f64 y y))
✓	accuracy	57.6%	(/.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	99.9%	(.f64 (.f64 z (.f64 t t)) (+.f64 #s(literal 2 binary64) (.f64 t t)))
✓	accuracy	96.5%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (+.f64 (.f64 #s(literal 2 binary64) z) (.f64 (.f64 z (.f64 t t)) (+.f64 #s(literal 2 binary64) (*.f64 t t))))))
✓	accuracy	90.9%	(sqrt.f64 (+.f64 (.f64 #s(literal 2 binary64) z) (.f64 (.f64 z (.f64 t t)) (+.f64 #s(literal 2 binary64) (*.f64 t t)))))
✓	accuracy	87.5%	(.f64 z (.f64 t t))
✓	accuracy	100.0%	(*.f64 z #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) x)
✓	accuracy	99.7%	(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
✓	accuracy	99.6%	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓	accuracy	99.8%	(.f64 (.f64 t t) #s(literal 1/48 binary64))
✓	accuracy	99.6%	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓	accuracy	99.5%	(.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 (.f64 t 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 (.f64 t t) #s(literal 1/48 binary64)))))))))

Results

257.0ms

256×

valid

Compiler

Compiled 958 to 53 computations (94.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-mult: 42.0ms (57.5% of total)

ival-add: 8.0ms (11% of total)

...c/correct-round.rkt:119:19: 7.0ms (9.6% of total)

ival-div: 6.0ms (8.2% of total)

ival-sub: 4.0ms (5.5% of total)

ival-sqrt: 4.0ms (5.5% of total)

const: 1.0ms (1.4% of total)

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

series111.0ms (0.2%)

Counts

24 → 624

Calls

Call 1

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

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

Calls

156 calls:

Time	Variable		Expression
22.0ms	z	@	(* (* (* 1/2 x) (sqrt (* z 2))) 1)
21.0ms	x	@	(/ (* (+ 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 (+ 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)))))) (- (* t (* t (+ 1/2 (* (* t t) (+ 1/8 (* (* t t) 1/48)))))) 1))))
7.0ms	z	@	(/ (* (+ 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 (+ 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)))))) (- (* t (* t (+ 1/2 (* (* t t) (+ 1/8 (* (* t t) 1/48)))))) 1))))
3.0ms	y	@	(/ (* (+ 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 (+ 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)))))) (- (* t (* t (+ 1/2 (* (* t t) (+ 1/8 (* (* t t) 1/48)))))) 1))))
2.0ms	y	@	(* (+ 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 (+ 1/2 (* (* t t) (+ 1/8 (* (* t t) 1/48))))))))) (* (- (* x 1/2) y) (sqrt (* z 2))))

rewrite354.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3558×	`-lowering-.f32`
3558×	`-lowering-.f64`
2676×	`/-lowering-/.f32`
2676×	`/-lowering-/.f64`
1654×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	52	320
1	329	244
2	3052	244
0	8215	244

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 705

Calls

Call 1

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

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

simplify479.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

8630×	`-lowering-.f32`
8630×	`-lowering-.f64`
3206×	`+-lowering-+.f64`
3206×	`+-lowering-+.f32`
1764×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	583	15454
1	2149	11940
0	8565	11940

Stop Event

1×	iter limit
1×	node limit

Counts

624 → 624

Calls

Call 1

Inputs
(* -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))))))
(* (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)
(- (* 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) (* (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)))))))))
(* (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)))))))))
(* (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)))))))))
(* (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 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))))
(* (sqrt z) (sqrt 2))
(+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2)))
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))))
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* 1/8 (* (sqrt z) (sqrt 2))))))))
(* 1/48 (* (* (pow t 6) (sqrt 2)) (sqrt z)))
(* (pow t 6) (+ (* 1/48 (* (sqrt z) (sqrt 2))) (* 1/8 (* (/ (sqrt 2) (pow t 2)) (sqrt z)))))
(* (pow t 6) (+ (* 1/48 (* (sqrt z) (sqrt 2))) (+ (* 1/8 (* (/ (sqrt 2) (pow t 2)) (sqrt z))) (* 1/2 (* (/ (sqrt 2) (pow t 4)) (sqrt z))))))
(* (pow t 6) (+ (* 1/48 (* (sqrt z) (sqrt 2))) (+ (* 1/8 (* (/ (sqrt 2) (pow t 2)) (sqrt z))) (+ (* 1/2 (* (/ (sqrt 2) (pow t 4)) (sqrt z))) (* (/ (sqrt 2) (pow t 6)) (sqrt z))))))
(* 1/48 (* (* (pow t 6) (sqrt 2)) (sqrt z)))
(* (pow t 6) (+ (* 1/48 (* (sqrt z) (sqrt 2))) (* 1/8 (* (/ (sqrt 2) (pow t 2)) (sqrt z)))))
(* (pow t 6) (+ (* 1/48 (* (sqrt z) (sqrt 2))) (+ (* 1/8 (* (/ (sqrt 2) (pow t 2)) (sqrt z))) (* 1/2 (* (/ (sqrt 2) (pow t 4)) (sqrt z))))))
(* (pow t 6) (+ (* 1/48 (* (sqrt z) (sqrt 2))) (+ (* 1/8 (* (/ (sqrt 2) (pow t 2)) (sqrt z))) (+ (* 1/2 (* (/ (sqrt 2) (pow t 4)) (sqrt z))) (* (/ (sqrt 2) (pow t 6)) (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)))
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(* 1/48 (* (* (pow t 6) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z)))
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(* 1/110592 (* (* (pow t 18) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z)))
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(* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 6) (pow (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))) 3))) (- (* 1/2 x) y))))
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 6) (pow (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))) 3))) (- (* 1/2 x) y))))
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(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (* (+ 1 (* (pow t 6) (pow (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))) 3))) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (* (+ 1 (* (pow t 6) (pow (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))) 3))) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (* (+ 1 (* (pow t 6) (pow (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))) 3))) (- (* 1/2 x) y))))))
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1
(+ 1 (* 1/8 (pow t 6)))
(+ 1 (* (pow t 6) (+ 1/8 (* 3/32 (pow t 2)))))
(+ 1 (* (pow t 6) (+ 1/8 (* (pow t 2) (+ 3/32 (* 5/128 (pow t 2)))))))
(* 1/110592 (pow t 18))
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(* (pow t 18) (+ 1/110592 (+ (/ 5/3072 (pow t 4)) (* 1/6144 (/ 1 (pow t 2))))))
(* (pow t 18) (+ 1/110592 (+ (/ 5/3072 (pow t 4)) (+ (* 1/6144 (/ 1 (pow t 2))) (* 5/512 (/ 1 (pow t 6)))))))
(* 1/110592 (pow t 18))
(* (pow t 18) (+ 1/110592 (* 1/6144 (/ 1 (pow t 2)))))
(* (pow t 18) (+ 1/110592 (+ (/ 5/3072 (pow t 4)) (* 1/6144 (/ 1 (pow t 2))))))
(* (pow t 18) (+ 1/110592 (+ (/ 5/3072 (pow t 4)) (+ (* 1/6144 (/ 1 (pow t 2))) (* 5/512 (/ 1 (pow t 6)))))))
(* 1/8 (pow t 6))
(* (pow t 6) (+ 1/8 (* 3/32 (pow t 2))))
(* (pow t 6) (+ 1/8 (* (pow t 2) (+ 3/32 (* 5/128 (pow t 2))))))
(* (pow t 6) (+ 1/8 (* (pow t 2) (+ 3/32 (* (pow t 2) (+ 5/128 (* 5/512 (pow t 2))))))))
(* 1/110592 (pow t 18))
(* (pow t 18) (+ 1/110592 (* 1/6144 (/ 1 (pow t 2)))))
(* (pow t 18) (+ 1/110592 (+ (/ 5/3072 (pow t 4)) (* 1/6144 (/ 1 (pow t 2))))))
(* (pow t 18) (+ 1/110592 (+ (/ 5/3072 (pow t 4)) (+ (* 1/6144 (/ 1 (pow t 2))) (* 5/512 (/ 1 (pow t 6)))))))
(* 1/110592 (pow t 18))
(* (pow t 18) (+ 1/110592 (* 1/6144 (/ 1 (pow t 2)))))
(* (pow t 18) (+ 1/110592 (+ (/ 5/3072 (pow t 4)) (* 1/6144 (/ 1 (pow t 2))))))
(* (pow t 18) (+ 1/110592 (+ (/ 5/3072 (pow t 4)) (+ (* 1/6144 (/ 1 (pow t 2))) (* 5/512 (/ 1 (pow t 6)))))))
(* 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))
(* 2 z)
(* 2 z)
(* 2 z)
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(* 2 z)
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(* 2 z)
(* 2 z)
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(* (pow t 2) z)
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(sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))
(sqrt (* z (+ 2 (* (pow t 2) (+ 2 (pow t 2))))))
(* -1 (* (sqrt (* z (- (* -1 (* (pow t 2) (+ 2 (pow t 2)))) 2))) (sqrt -1)))
(* -1 (* (sqrt (* z (- (* -1 (* (pow t 2) (+ 2 (pow t 2)))) 2))) (sqrt -1)))
(* -1 (* (sqrt (* z (- (* -1 (* (pow t 2) (+ 2 (pow t 2)))) 2))) (sqrt -1)))
(* -1 (* (sqrt (* z (- (* -1 (* (pow t 2) (+ 2 (pow t 2)))) 2))) (sqrt -1)))
(* (sqrt z) (sqrt 2))
(+ (* (sqrt z) (sqrt 2)) (* (/ (pow t 2) (sqrt 2)) (sqrt z)))
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (/ (* (pow t 2) (- z (/ z (pow (sqrt 2) 2)))) (sqrt 2)) (sqrt (/ 1 z)))) (* (sqrt z) (/ 1 (sqrt 2))))))
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* (sqrt z) (/ 1 (sqrt 2))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (/ (- z (/ z (pow (sqrt 2) 2))) (sqrt 2)))) (* 1/2 (* (/ (* (pow t 2) (- (/ z (pow (sqrt 2) 4)) (/ z (pow (sqrt 2) 2)))) (sqrt 2)) (sqrt (/ 1 z)))))))))
(* (pow t 2) (sqrt z))
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(* (pow t 2) (+ (sqrt z) (+ (* 1/2 (* (/ (- (* 2 z) z) (pow t 4)) (sqrt (/ 1 z)))) (* (/ 1 (pow t 2)) (sqrt z)))))
(* (pow t 2) (+ (sqrt z) (+ (* 1/2 (* (/ (- z (* 2 z)) (pow t 6)) (sqrt (/ 1 z)))) (+ (* 1/2 (* (/ (- (* 2 z) z) (pow t 4)) (sqrt (/ 1 z)))) (* (/ 1 (pow t 2)) (sqrt z))))))
(* (pow t 2) (sqrt z))
(* (pow t 2) (+ (sqrt z) (* (/ 1 (pow t 2)) (sqrt z))))
(* (pow t 2) (+ (sqrt z) (+ (* 1/2 (* (/ (- (* 2 z) z) (pow t 4)) (sqrt (/ 1 z)))) (* (/ 1 (pow t 2)) (sqrt z)))))
(* (pow t 2) (+ (sqrt z) (+ (* 1/2 (* (/ (- z (* 2 z)) (pow t 6)) (sqrt (/ 1 z)))) (+ (* 1/2 (* (/ (- (* 2 z) z) (pow t 4)) (sqrt (/ 1 z)))) (* (/ 1 (pow t 2)) (sqrt z))))))
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(* (pow t 4) (+ z (* 2 (/ z (pow t 2)))))
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(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
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(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
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(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
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(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
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(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
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(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))

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

eval584.0ms (1.3%)

Compiler: Compiled 118737 to 3475 computations (97.1% saved)

prune288.0ms (0.6%)

Pruning

41 alts after pruning (41 fresh and 0 done)

	Pruned	Kept	Total
New	1948	26	1974
Fresh	17	15	32
Picked	5	0	5
Done	0	0	0
Total	1970	41	2011

Accuracy

100.0%

Counts

2011 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.2%	(/.f64 (.f64 (-.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 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 x #s(literal 1/2 binary64)) y))
	49.4%	(/.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))
	53.0%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (.f64 (.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 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 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)))))))))
	52.5%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.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 t t) (.f64 (.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 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) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.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 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))))))) #s(literal 1 binary64)))))
	28.5%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.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 t t) (.f64 (.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 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) (sqrt.f64 (.f64 z #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.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 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))))))) #s(literal 1 binary64)))))
	57.2%	(/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
	57.1%	(/.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)))))
	94.4%	(/.f64 #s(literal 1 binary64) (/.f64 #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 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))))))))))))
	87.1%	(.f64 (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)) (.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))))
	26.2%	(.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))))
	19.5%	(.f64 (/.f64 (.f64 (.f64 y y) (+.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) #s(literal -1 binary64))) (-.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))))
	45.3%	(.f64 (-.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)))
▶	94.4%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal -1/2 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 (.f64 t t) #s(literal 1/48 binary64))))))))))
	39.4%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 t (.f64 t (sqrt.f64 z))))
	88.0%	(.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))))))
	57.3%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
▶	43.2%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 t (.f64 t (.f64 (.f64 t t) z)))))
	59.5%	(.f64 (-.f64 #s(literal 0 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 (*.f64 t t) #s(literal 1/48 binary64))))))))))
	62.8%	(.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))))
	94.2%	(.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 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))))
	65.7%	(.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 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64))))))))))
	51.0%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 t (.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 t (.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 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))))))) (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.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 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))))))) #s(literal -1 binary64))))))
	91.5%	(.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) #s(literal 1/8 binary64))))))
	49.4%	(.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
	22.0%	(.f64 (.f64 (.f64 (/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 y (.f64 y (.f64 y y)))) (+.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 y))) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
	56.2%	(.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))
	57.9%	(.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))
	27.4%	(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (pow.f64 (.f64 #s(literal 4 binary64) (*.f64 z z)) #s(literal 1/4 binary64))) #s(literal 1 binary64))
	30.8%	(.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))
	58.3%	(.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 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64))))))))))
▶	30.8%	(.f64 (.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) x)
	89.4%	(.f64 (.f64 y (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal -1 binary64))) (.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 (*.f64 t t) #s(literal 1/48 binary64))))))))))
	91.0%	(.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y 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 (.f64 t t) #s(literal 1/48 binary64))))))))))
	39.8%	(.f64 (.f64 t t) (.f64 (sqrt.f64 z) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))
▶	60.7%	(.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 (.f64 t t) #s(literal 1/48 binary64))))))))))
	58.3%	(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z (+.f64 #s(literal 2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 2 binary64) (.f64 t t))))))))
	66.1%	(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))))
	57.2%	(.f64 (sqrt.f64 (.f64 z (+.f64 #s(literal 2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 2 binary64) (*.f64 t t))))))) (-.f64 #s(literal 0 binary64) y))
	30.8%	(.f64 (sqrt.f64 z) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)))
	86.2%	(.f64 y (.f64 (sqrt.f64 (.f64 z (+.f64 #s(literal 2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 2 binary64) (.f64 t t))))))) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(literal -1 binary64))))
	86.4%	(.f64 x (.f64 (sqrt.f64 (.f64 z (+.f64 #s(literal 2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 2 binary64) (.f64 t t))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))

Compiler

Compiled 2728 to 1580 computations (42.1% saved)

simplify207.0ms (0.5%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

3294×	`-lowering-.f32`
3294×	`-lowering-.f64`
1594×	`+-lowering-+.f64`
1594×	`+-lowering-+.f32`
1576×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	573
1	134	512
2	458	506
3	1745	506
4	3754	506
5	5199	506
0	8097	506

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize473.0ms (1.1%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	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 (.f64 t t) #s(literal 1/48 binary64)))))))))
✓	accuracy	95.1%	(-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (*.f64 y y))
✓	accuracy	94.1%	(.f64 (-.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 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))))))))))
✓	accuracy	79.7%	(/.f64 (.f64 (-.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 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 x #s(literal 1/2 binary64)) y))
✓	accuracy	99.8%	(.f64 (.f64 t t) #s(literal 1/48 binary64))
✓	accuracy	99.6%	(sqrt.f64 (*.f64 z #s(literal 2 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 (.f64 t t) #s(literal 1/48 binary64)))))))))
✓	accuracy	97.6%	(.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 (.f64 t t) #s(literal 1/48 binary64))))))))))
✓	accuracy	99.9%	(.f64 t (.f64 (*.f64 t t) z))
✓	accuracy	88.5%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 t (.f64 t (.f64 (.f64 t t) z)))))
✓	accuracy	87.5%	(.f64 (.f64 t t) z)
✓	accuracy	79.3%	(sqrt.f64 (.f64 t (.f64 t (.f64 (.f64 t t) z))))
✓	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	99.7%	(.f64 (.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) x)
✓	accuracy	99.6%	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓	accuracy	99.6%	(pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)))
✓	accuracy	99.5%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal -1/2 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 (.f64 t t) #s(literal 1/48 binary64))))))))))
✓	accuracy	98.9%	(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal -1/2 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 (.f64 t t) #s(literal 1/48 binary64)))))))))

Results

353.0ms

256×

valid

Compiler

Compiled 669 to 45 computations (93.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-mult: 33.0ms (53.4% of total)

ival-pow: 7.0ms (11.3% of total)

ival-add: 5.0ms (8.1% of total)

ival-div: 4.0ms (6.5% of total)

ival-sub: 4.0ms (6.5% of total)

ival-sqrt: 4.0ms (6.5% of total)

...c/correct-round.rkt:119:19: 4.0ms (6.5% of total)

const: 1.0ms (1.6% of total)

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

series64.0ms (0.1%)

Counts

22 → 528

Calls

Call 1

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

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

Calls

132 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(* (- (* x 1/2) y) (* (/ 1 (pow (* z 2) -1/2)) (+ 1 (* t (* t (+ 1/2 (* (* t t) (+ 1/8 (* (* t t) 1/48)))))))))
3.0ms	z	@	0	(* (* 1/2 x) (* (sqrt (* z 2)) (+ 1 (* t (* t (+ 1/2 (* (* t t) (+ 1/8 (* (* t t) 1/48)))))))))
2.0ms	z	@	0	(/ (* (- (* x (* x 1/4)) (* y y)) (* (sqrt (* z 2)) (+ 1 (* t (* t (+ 1/2 (* (* t t) (+ 1/8 (* (* t t) 1/48))))))))) (+ (* x 1/2) y))
2.0ms	x	@	0	(* (* 1/2 x) (* (sqrt (* z 2)) (+ 1 (* t (* t (+ 1/2 (* (* t t) (+ 1/8 (* (* t t) 1/48)))))))))
1.0ms	z	@	-inf	(/ (* (- (* x (* x 1/4)) (* y y)) (* (sqrt (* z 2)) (+ 1 (* t (* t (+ 1/2 (* (* t t) (+ 1/8 (* (* t t) 1/48))))))))) (+ (* x 1/2) y))

rewrite441.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

3880×	`-lowering-.f32`
3880×	`-lowering-.f64`
3344×	`/-lowering-/.f32`
3344×	`/-lowering-/.f64`
2296×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	235
1	233	213
2	1978	208
0	8614	208

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 1069

Calls

Call 1

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

Outputs
(+.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.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 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.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)))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
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(.f64 z (.f64 t t))
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(.f64 (.f64 t t) z)
(.f64 (.f64 z t) t)
(.f64 z (.f64 t (*.f64 t t)))
(.f64 t (.f64 z (*.f64 t t)))
(.f64 (.f64 t t) (*.f64 z t))
(.f64 (.f64 z (*.f64 t t)) t)
(.f64 (.f64 z t) (*.f64 t t))
(.f64 (.f64 t (*.f64 t t)) z)
(.f64 t (.f64 t #s(literal 1/48 binary64)))
(.f64 (.f64 t t) #s(literal 1/48 binary64))
(.f64 #s(literal 1/48 binary64) (.f64 t t))
(.f64 (.f64 t #s(literal 1/48 binary64)) t)

simplify399.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

7502×	`-lowering-.f32`
7502×	`-lowering-.f64`
2296×	`+-lowering-+.f64`
2296×	`+-lowering-+.f32`
1638×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	479	11922
1	1770	9298
2	6951	9241
0	8209	9241

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 528

Calls

Call 1

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

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

eval360.0ms (0.8%)

Compiler: Compiled 87542 to 3470 computations (96% saved)

prune374.0ms (0.8%)

Pruning

49 alts after pruning (47 fresh and 2 done)

	Pruned	Kept	Total
New	2046	21	2067
Fresh	10	26	36
Picked	3	2	5
Done	0	0	0
Total	2059	49	2108

Accuracy

100.0%

Counts

2108 → 49

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.4%	(/.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))
	94.2%	(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) 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 (.f64 t t) #s(literal 1/48 binary64))))))))) (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)))
	28.5%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.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 t t) (.f64 (.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 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) (sqrt.f64 (.f64 z #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.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 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))))))) #s(literal 1 binary64)))))
	60.3%	(/.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 (.f64 t t) #s(literal 1/48 binary64)))))))) (.f64 #s(literal 1/2 binary64) x)) (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)))
	70.2%	(/.f64 (.f64 (.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.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 (.f64 t t) #s(literal 1/48 binary64))))))))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) y))
	38.3%	(/.f64 (.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.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 (.f64 t t) #s(literal 1/48 binary64)))))))))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y))
	30.9%	(/.f64 (.f64 #s(literal 1/2 binary64) x) (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)))
	57.2%	(/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
	57.1%	(/.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)))))
	94.4%	(/.f64 #s(literal 1 binary64) (/.f64 #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 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))))))))))))
	26.2%	(.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))))
	30.8%	(.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64))) x)
	35.5%	(.f64 (-.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 y))) (+.f64 (.f64 #s(literal 1/2 binary64) x) y)) (/.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y))) (+.f64 (.f64 #s(literal 1/2 binary64) x) y))) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal -1/2 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 (.f64 t t) #s(literal 1/48 binary64))))))))))
	45.3%	(.f64 (-.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)))
	39.4%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (.f64 t (sqrt.f64 z)) t))
	40.5%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 z) (.f64 t t)))
	88.0%	(.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))))))
	57.3%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
	43.6%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 t (.f64 (.f64 t (.f64 t t)) z))))
	59.5%	(.f64 (-.f64 #s(literal 0 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 (*.f64 t t) #s(literal 1/48 binary64))))))))))
	62.8%	(.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))))
	94.2%	(.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 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))))
	27.4%	(.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)
	89.6%	(.f64 (.f64 (/.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)))))))) (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64))) (+.f64 (.f64 #s(literal 1/2 binary64) x) y)) (+.f64 (.f64 #s(literal 1/2 binary64) x) y)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))
	51.0%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 t (.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 t (.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 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))))))) (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.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 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))))))) #s(literal -1 binary64))))))
	91.5%	(.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) #s(literal 1/8 binary64))))))
	49.4%	(.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
	22.0%	(.f64 (.f64 (.f64 (/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 y (.f64 y (.f64 y y)))) (+.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 y))) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
	56.2%	(.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))
	57.9%	(.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))
	58.3%	(.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 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64))))))))))
✓	30.8%	(.f64 (.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) x)
	31.3%	(.f64 (.f64 (sqrt.f64 z) (+.f64 (/.f64 (.f64 (.f64 t t) y) x) (.f64 #s(literal -1/2 binary64) (.f64 t t)))) (neg.f64 x))
	31.3%	(.f64 (.f64 (sqrt.f64 z) (+.f64 (.f64 t t) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 t t) x) y)))) (-.f64 #s(literal 0 binary64) y))
	89.4%	(.f64 (.f64 y (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal -1 binary64))) (.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 (*.f64 t t) #s(literal 1/48 binary64))))))))))
	43.8%	(.f64 (.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) y))) (sqrt.f64 (.f64 t (.f64 t (.f64 (*.f64 t t) z)))))
	91.0%	(.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y 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 (.f64 t t) #s(literal 1/48 binary64))))))))))
	39.8%	(.f64 (.f64 t t) (.f64 (sqrt.f64 z) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))
	27.8%	(.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.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 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 #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))))))))))
	42.4%	(.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (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 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))))))))))
✓	60.7%	(.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 (.f64 t t) #s(literal 1/48 binary64))))))))))
	58.3%	(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z (+.f64 #s(literal 2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 2 binary64) (.f64 t t))))))))
	66.1%	(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))))
	33.5%	(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 t (.f64 t (.f64 (.f64 t t) z)))))
	57.2%	(.f64 (sqrt.f64 (.f64 z (+.f64 #s(literal 2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 2 binary64) (*.f64 t t))))))) (-.f64 #s(literal 0 binary64) y))
	29.6%	(.f64 (sqrt.f64 z) (.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)) x))
	40.9%	(.f64 (sqrt.f64 z) (.f64 (.f64 #s(literal 1 binary64) (.f64 t t)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
	29.6%	(.f64 (sqrt.f64 z) (.f64 #s(literal -1 binary64) (.f64 (.f64 t t) y)))
	86.4%	(.f64 x (.f64 (sqrt.f64 (.f64 z (+.f64 #s(literal 2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 2 binary64) (.f64 t t))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))

Compiler

Compiled 4150 to 1257 computations (69.7% saved)

regimes518.0ms (1.2%)

Counts

97 → 1

Calls

Call 1

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

57.0ms	(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
51.0ms	(*.f64 x #s(literal 1/2 binary64))
49.0ms	z
46.0ms	(/.f64 (*.f64 t t) #s(literal 2 binary64))
43.0ms	(.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))))

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)

regimes367.0ms (0.8%)

Counts

85 → 3

Calls

Call 1

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

Outputs

(*.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) x) (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 (*.f64 t 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:

48.0ms	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
44.0ms	(*.f64 z #s(literal 2 binary64))
40.0ms	z
36.0ms	t
36.0ms	x

Results

Accuracy	Segments	Branch
94.5%	1	`x`
94.5%	1	`y`
94.5%	1	`z`
99.1%	3	`t`
94.5%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
94.5%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
94.5%	1	`(*.f64 x #s(literal 1/2 binary64))`
94.5%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
94.5%	1	`(*.f64 z #s(literal 2 binary64))`
99.1%	3	`(*.f64 t t)`

Compiler

Compiled 72 to 58 computations (19.4% saved)

regimes69.0ms (0.2%)

Counts

83 → 2

Calls

Call 1

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

Outputs

(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.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 t t) (*.f64 (*.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 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 (*.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 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))))))) #s(literal 1 binary64)))))

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

Calls

2 calls:

25.0ms	t
22.0ms	(*.f64 t t)

Results

Accuracy	Segments	Branch
96.8%	2	`t`
96.8%	2	`(*.f64 t t)`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes107.0ms (0.2%)

Counts

75 → 2

Calls

Call 1

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

Outputs

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

Calls

2 calls:

50.0ms	t
42.0ms	(*.f64 t t)

Results

Accuracy	Segments	Branch
96.4%	2	`t`
96.4%	2	`(*.f64 t t)`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes154.0ms (0.3%)

Counts

70 → 1

Calls

Call 1

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

Outputs

(*.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 (*.f64 t t) #s(literal 1/48 binary64))))))))))

Calls

7 calls:

23.0ms	(*.f64 z #s(literal 2 binary64))
21.0ms	y
21.0ms	z
20.0ms	(.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
94.5%	1	`y`
94.5%	1	`z`
94.5%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
94.5%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
94.5%	1	`(*.f64 z #s(literal 2 binary64))`
94.5%	1	`t`
94.5%	1	`(*.f64 t t)`

Compiler

Compiled 51 to 41 computations (19.6% saved)

regimes204.0ms (0.5%)

Counts

50 → 1

Calls

Call 1

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

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 (+.f64 #s(literal 1/8 binary64) (*.f64 t (*.f64 t #s(literal 1/48 binary64))))))))))

Calls

10 calls:

36.0ms	y
24.0ms	(*.f64 t t)
21.0ms	x
19.0ms	(*.f64 z #s(literal 2 binary64))
16.0ms	(*.f64 x #s(literal 1/2 binary64))

Results

Accuracy	Segments	Branch
94.2%	1	`x`
94.2%	1	`t`
94.2%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
94.2%	1	`(*.f64 x #s(literal 1/2 binary64))`
94.2%	1	`(*.f64 t t)`
94.2%	1	`y`
94.2%	1	`z`
94.2%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
94.2%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
94.2%	1	`(*.f64 z #s(literal 2 binary64))`

Compiler

Compiled 72 to 58 computations (19.4% saved)

regimes181.0ms (0.4%)

Counts

48 → 1

Calls

Call 1

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

26.0ms	x
23.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
21.0ms	t
18.0ms	(*.f64 z #s(literal 2 binary64))
15.0ms	(*.f64 x #s(literal 1/2 binary64))

Results

Accuracy	Segments	Branch
94.2%	1	`x`
94.2%	1	`y`
94.2%	1	`z`
94.2%	1	`t`
94.2%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
94.2%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
94.2%	1	`(*.f64 x #s(literal 1/2 binary64))`
94.2%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
94.2%	1	`(*.f64 z #s(literal 2 binary64))`
94.2%	1	`(*.f64 t t)`

Compiler

Compiled 72 to 58 computations (19.4% saved)

regimes162.0ms (0.4%)

Counts

47 → 1

Calls

Call 1

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

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 (*.f64 t t) #s(literal 1/8 binary64))))))

Calls

10 calls:

29.0ms	z
15.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
15.0ms	y
14.0ms	(*.f64 x #s(literal 1/2 binary64))
14.0ms	(*.f64 z #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
91.5%	1	`x`
91.5%	1	`z`
91.5%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
91.5%	1	`(*.f64 x #s(literal 1/2 binary64))`
91.5%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
91.5%	1	`(*.f64 z #s(literal 2 binary64))`
91.5%	1	`y`
91.5%	1	`t`
91.5%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
91.5%	1	`(*.f64 t t)`

Compiler

Compiled 72 to 58 computations (19.4% saved)

regimes128.0ms (0.3%)

Counts

39 → 2

Calls

Call 1

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

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

Calls

10 calls:

14.0ms	y
13.0ms	x
13.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
12.0ms	t
12.0ms	(*.f64 z #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
90.3%	1	`y`
92.5%	2	`t`
92.5%	2	`(*.f64 t t)`
90.3%	1	`x`
90.3%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
90.3%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
90.3%	1	`(*.f64 x #s(literal 1/2 binary64))`
90.3%	1	`z`
90.3%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
90.3%	1	`(*.f64 z #s(literal 2 binary64))`

Compiler

Compiled 72 to 58 computations (19.4% saved)

regimes41.0ms (0.1%)

Counts

38 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

26.0ms	t
10.0ms	(*.f64 t t)

Results

Accuracy	Segments	Branch
92.5%	2	`t`
92.5%	2	`(*.f64 t t)`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes34.0ms (0.1%)

Counts

36 → 2

Calls

Call 1

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

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

Calls

2 calls:

18.0ms	(*.f64 t t)
11.0ms	t

Results

Accuracy	Segments	Branch
92.5%	2	`t`
92.5%	2	`(*.f64 t t)`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes158.0ms (0.4%)

Counts

34 → 2

Calls

Call 1

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

Calls

10 calls:

53.0ms	y
14.0ms	x
13.0ms	(*.f64 z #s(literal 2 binary64))
12.0ms	(*.f64 x #s(literal 1/2 binary64))
12.0ms	t

Results

Accuracy	Segments	Branch
88.0%	1	`y`
88.0%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
88.0%	1	`x`
88.0%	1	`z`
88.0%	1	`(*.f64 x #s(literal 1/2 binary64))`
88.0%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
88.0%	1	`(*.f64 z #s(literal 2 binary64))`
88.0%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
90.7%	2	`t`
90.7%	2	`(*.f64 t t)`

Compiler

Compiled 72 to 58 computations (19.4% saved)

regimes25.0ms (0.1%)

Counts

30 → 2

Calls

Call 1

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

Outputs

(*.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) (sqrt.f64 (*.f64 t (*.f64 (*.f64 t (*.f64 t t)) z))))

Calls

2 calls:

14.0ms	t
8.0ms	(*.f64 t t)

Results

Accuracy	Segments	Branch
90.7%	2	`t`
90.7%	2	`(*.f64 t t)`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes21.0ms (0%)

Counts

28 → 2

Calls

Call 1

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

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))))))

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

Calls

2 calls:

11.0ms	t
8.0ms	(*.f64 t t)

Results

Accuracy	Segments	Branch
90.6%	2	`t`
90.6%	2	`(*.f64 t t)`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes18.0ms (0%)

Counts

23 → 2

Calls

Call 1

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

Outputs

(*.f64 (-.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 t (*.f64 (*.f64 t (*.f64 t t)) z))))

Calls

2 calls:

7.0ms	t
6.0ms	(*.f64 t t)

Results

Accuracy	Segments	Branch
90.6%	2	`t`
90.6%	2	`(*.f64 t t)`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes16.0ms (0%)

Counts

22 → 2

Calls

Call 1

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

Outputs

(*.f64 (-.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 t (*.f64 t (*.f64 (*.f64 t t) z)))))

Calls

2 calls:

7.0ms	t
6.0ms	(*.f64 t t)

Results

Accuracy	Segments	Branch
90.2%	2	`t`
90.2%	2	`(*.f64 t t)`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes108.0ms (0.2%)

Counts

21 → 2

Calls

Call 1

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

Calls

10 calls:

34.0ms	x
15.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
9.0ms	y
8.0ms	(*.f64 t t)
7.0ms	z

Results

Accuracy	Segments	Branch
61.1%	3	`x`
62.2%	3	`(.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)`
61.1%	3	`(*.f64 x #s(literal 1/2 binary64))`
62.1%	3	`y`
59.5%	2	`z`
59.5%	2	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
59.5%	2	`(*.f64 z #s(literal 2 binary64))`
87.7%	2	`t`
87.7%	2	`(*.f64 t t)`

Compiler

Compiled 72 to 58 computations (19.4% saved)

regimes12.0ms (0%)

Counts

16 → 2

Calls

Call 1

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

Calls

2 calls:

5.0ms	t
5.0ms	(*.f64 t t)

Results

Accuracy	Segments	Branch
87.3%	2	`t`
87.3%	2	`(*.f64 t t)`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes11.0ms (0%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	t
3.0ms	(*.f64 t t)

Results

Accuracy	Segments	Branch
86.3%	2	`t`
86.3%	2	`(*.f64 t t)`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0%)

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

3.0ms	t
3.0ms	(*.f64 t t)

Results

Accuracy	Segments	Branch
79.5%	3	`t`
77.2%	2	`(*.f64 t t)`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes22.0ms (0%)

Counts

6 → 4

Calls

Call 1

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

Calls

7 calls:

5.0ms	x
3.0ms	(*.f64 z #s(literal 2 binary64))
3.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
3.0ms	t
3.0ms	z

Results

Accuracy	Segments	Branch
38.7%	4	`z`
38.7%	4	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
38.7%	4	`(*.f64 z #s(literal 2 binary64))`
43.8%	3	`x`
46.4%	4	`y`
53.4%	2	`(*.f64 t t)`
57.3%	4	`t`

Compiler

Compiled 42 to 34 computations (19% saved)

regimes5.0ms (0%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	t
2.0ms	(*.f64 t t)

Results

Accuracy	Segments	Branch
53.4%	2	`(*.f64 t t)`
53.4%	2	`t`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes14.0ms (0%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

6 calls:

4.0ms	t
2.0ms	(*.f64 z #s(literal 2 binary64))
2.0ms	y
2.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
2.0ms	z

Results

Accuracy	Segments	Branch
30.9%	1	`z`
30.9%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
30.9%	1	`(*.f64 z #s(literal 2 binary64))`
30.9%	1	`x`
30.9%	1	`y`
30.9%	1	`t`

Compiler

Compiled 35 to 29 computations (17.1% saved)

regimes12.0ms (0%)

Accuracy

Total -0.0b remaining (-0.1%)

Threshold costs -0b (-0.1%)

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 #s(literal 1/2 binary64) (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64))) x)

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

Calls

6 calls:

3.0ms	(*.f64 z #s(literal 2 binary64))
2.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
2.0ms	t
2.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
30.8%	1	`z`
30.8%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
30.8%	1	`(*.f64 z #s(literal 2 binary64))`
30.8%	1	`y`
30.8%	1	`x`
30.8%	1	`t`

Compiler

Compiled 35 to 29 computations (17.1% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8.136374730593185e+76	7.415734485613134e+92
0.0ms	1.6775966409212747e-20	6.652684242196907e-15

Compiler

Compiled 28 to 21 computations (25% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.6246217238632532e+47	1.175436813266334e+48

Compiler

Compiled 28 to 21 computations (25% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.415734485613134e+92	6.922208743365662e+103

Compiler

Compiled 28 to 21 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.652684242196907e-15	0.0766749590963279

Compiler

Compiled 28 to 21 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2711643.935039733	526538883.450599

Compiler

Compiled 28 to 21 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.22357938114929274	536316.7420694629

Compiler

Compiled 28 to 21 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.22357938114929274	536316.7420694629

Compiler

Compiled 28 to 21 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.22357938114929274	536316.7420694629

Compiler

Compiled 28 to 21 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.22357938114929274	536316.7420694629

Compiler

Compiled 28 to 21 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.22357938114929274	536316.7420694629

Compiler

Compiled 28 to 21 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.22357938114929274	536316.7420694629

Compiler

Compiled 28 to 21 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.22357938114929274	536316.7420694629

Compiler

Compiled 28 to 21 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.22357938114929274	536316.7420694629

Compiler

Compiled 28 to 21 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.22357938114929274	536316.7420694629

Compiler

Compiled 28 to 21 computations (25% saved)

bsearch26.0ms (0.1%)

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	1.1910232973331196e+262	8.788859436817214e+262
17.0ms	8.895961025195145e+95	2.9609712260891017e+97

Results

19.0ms

144×

valid

Compiler

Compiled 298 to 226 computations (24.2% saved)

Precisions

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

ival-mult: 7.0ms (56.2% of total)

ival-div: 2.0ms (16.1% of total)

ival-sub: 1.0ms (8% of total)

ival-exp: 1.0ms (8% of total)

ival-sqrt: 1.0ms (8% of total)

const: 0.0ms (0% of total)

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

bsearch81.0ms (0.2%)

Algorithm

3×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.1910232973331196e+262	8.788859436817214e+262
18.0ms	9.265155037306471e+147	6.570850739107278e+150
16.0ms	30981081433.070717	500285788954.51276

Results

32.0ms

304×

valid

Compiler

Compiled 591 to 446 computations (24.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 9.0ms (47.5% of total)

ival-div: 3.0ms (15.8% of total)

ival-sub: 2.0ms (10.5% of total)

ival-exp: 2.0ms (10.5% of total)

ival-sqrt: 2.0ms (10.5% of total)

const: 1.0ms (5.3% of total)

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

bsearch21.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	30981081433.070717	500285788954.51276

Results

15.0ms

112×

valid

Compiler

Compiled 231 to 182 computations (21.2% saved)

Precisions

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

ival-div: 4.0ms (39.9% of total)

ival-mult: 3.0ms (29.9% of total)

ival-sub: 1.0ms (10% of total)

ival-exp: 1.0ms (10% of total)

ival-sqrt: 1.0ms (10% of total)

const: 0.0ms (0% of total)

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

simplify35.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

176×	`*-commutative_binary64`
84×	`+-commutative_binary64`
52×	`sub-neg_binary64`
42×	`neg-sub0_binary64`
40×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	171	982
1	288	982
2	335	982
3	373	982
4	396	982
5	415	982
6	427	982
7	442	982
8	449	982
9	453	982
10	454	982

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) (exp.f64 (*.f64 t t))))))
(if (<=.f64 (.f64 t t) #s(literal 6646139978924579/332306998946228968225951765070086144 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (if (<=.f64 (.f64 t t) #s(literal 99999999999999998278261272554585856747747644714015897553975120217811154108416 binary64)) (.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 #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 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))))
(if (<=.f64 (.f64 t t) #s(literal 200000000000000008769168609015239470926809530368 binary64)) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.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 t t) (.f64 (.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 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 (.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 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))))))) #s(literal 1 binary64))))) (.f64 (.f64 (/.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)))))))) (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64))) (+.f64 (.f64 #s(literal 1/2 binary64) x) y)) (+.f64 (.f64 #s(literal 1/2 binary64) x) y)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))
(if (<=.f64 (.f64 t t) #s(literal 1000000000000000043377296974619186073290293324951939311791773789336116812889681110941323755520 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (.f64 (.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 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 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 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 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) (.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 (.f64 t t) #s(literal 1/48 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 (+.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 (.f64 t 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 (.f64 t t) #s(literal 1/8 binary64))))))
(if (<=.f64 (.f64 t t) #s(literal 6338253001141147/633825300114114700748351602688 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 y (.f64 (sqrt.f64 (.f64 z (+.f64 #s(literal 2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 2 binary64) (.f64 t t))))))) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(literal -1 binary64)))))
(if (<=.f64 (.f64 t t) #s(literal 5000000 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (+.f64 (.f64 #s(literal 2 binary64) z) (.f64 (.f64 z (.f64 t t)) (+.f64 #s(literal 2 binary64) (.f64 t t)))))) (.f64 x (.f64 (sqrt.f64 (.f64 z (+.f64 #s(literal 2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 2 binary64) (.f64 t t))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(if (<=.f64 (.f64 t t) #s(literal 3602879701896397/9007199254740992 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 x (.f64 (sqrt.f64 (.f64 z (+.f64 #s(literal 2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 2 binary64) (*.f64 t t))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(if (<=.f64 (.f64 t t) #s(literal 3602879701896397/9007199254740992 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 y (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) y))) (sqrt.f64 (.f64 t (.f64 t (.f64 (.f64 t t) z))))))
(if (<=.f64 (.f64 t t) #s(literal 3602879701896397/9007199254740992 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) (sqrt.f64 (.f64 t (.f64 (.f64 t (*.f64 t t)) z)))))
(if (<=.f64 (.f64 t t) #s(literal 3602879701896397/9007199254740992 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 t (.f64 (.f64 t (.f64 t t)) z)))))
(if (<=.f64 (.f64 t t) #s(literal 3602879701896397/9007199254740992 binary64)) (.f64 (-.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 t (.f64 (.f64 t (.f64 t t)) z)))))
(if (<=.f64 (.f64 t t) #s(literal 3602879701896397/9007199254740992 binary64)) (.f64 (-.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 t (.f64 t (.f64 (.f64 t t) z))))))
(if (<=.f64 (.f64 t t) #s(literal 3602879701896397/9007199254740992 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (sqrt.f64 z) (.f64 (.f64 #s(literal 1 binary64) (.f64 t t)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
(if (<=.f64 (.f64 t t) #s(literal 3602879701896397/9007199254740992 binary64)) (.f64 (-.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) (.f64 (sqrt.f64 z) (.f64 t t))))
(if (<=.f64 (.f64 t t) #s(literal 3602879701896397/9007199254740992 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (.f64 t t) (.f64 (sqrt.f64 z) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))))
(if (<=.f64 t #s(literal 900000000000000033018378636816825303935572772004974172242557207789195801548918631435708638691328 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (if (<=.f64 t #s(literal 20000000000000000323456785900191669561923454243064936219351155259210830706007157687226704499288107285763810660663679263023264344934985834790648308005091295168868698197129205191161878464985997761417827125414132937520722989422036627287210875071738030889333260550144 binary64)) (.f64 (sqrt.f64 z) (.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)) x)) (.f64 (sqrt.f64 z) (.f64 #s(literal -1 binary64) (.f64 (*.f64 t t) y)))))
(if (<=.f64 t #s(literal 220000000000 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) x) (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64))) (if (<=.f64 t #s(literal 93999999999999994382642737657177036129923289906826161193952348546065594069322241101415774654585690821990977417761825317410062606236155820077278560256 binary64)) (.f64 (sqrt.f64 z) (.f64 #s(literal -1 binary64) (.f64 (.f64 t t) y))) (if (<=.f64 t #s(literal 20000000000000000323456785900191669561923454243064936219351155259210830706007157687226704499288107285763810660663679263023264344934985834790648308005091295168868698197129205191161878464985997761417827125414132937520722989422036627287210875071738030889333260550144 binary64)) (.f64 (sqrt.f64 z) (.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)) x)) (.f64 (sqrt.f64 z) (.f64 #s(literal -1 binary64) (.f64 (.f64 t t) y))))))
(if (<=.f64 t #s(literal 150000000000 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) x) (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64))) (.f64 (sqrt.f64 z) (.f64 #s(literal -1 binary64) (.f64 (.f64 t t) y))))
(/.f64 (.f64 #s(literal 1/2 binary64) x) (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal -1/2 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) (exp.f64 (*.f64 t t))))))
(if (<=.f64 (.f64 t t) #s(literal 6646139978924579/332306998946228968225951765070086144 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (if (<=.f64 (.f64 t t) #s(literal 99999999999999998278261272554585856747747644714015897553975120217811154108416 binary64)) (.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 #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 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))))
(if (<=.f64 (.f64 t t) #s(literal 6646139978924579/332306998946228968225951765070086144 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (if (<=.f64 (.f64 t t) #s(literal 99999999999999998278261272554585856747747644714015897553975120217811154108416 binary64)) (.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 #s(literal 2 binary64))) (.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 (.f64 t t) #s(literal 1/48 binary64))))))))))))
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(if (<=.f64 (.f64 t t) #s(literal 1000000000000000043377296974619186073290293324951939311791773789336116812889681110941323755520 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (.f64 (.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 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 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 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 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))))
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(.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 (.f64 t t) #s(literal 1/48 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 (+.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 (.f64 t t) #s(literal 1/48 binary64)))))))) (-.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 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 (.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) #s(literal 1/8 binary64))))))
(if (<=.f64 (.f64 t t) #s(literal 6338253001141147/633825300114114700748351602688 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 y (.f64 (sqrt.f64 (.f64 z (+.f64 #s(literal 2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 2 binary64) (.f64 t t))))))) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(literal -1 binary64)))))
(if (<=.f64 (.f64 t t) #s(literal 6338253001141147/633825300114114700748351602688 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 y (.f64 (sqrt.f64 (.f64 z (+.f64 #s(literal 2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 2 binary64) (.f64 t t))))))) (+.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal -1 binary64)))))
(if (<=.f64 (.f64 t t) #s(literal 5000000 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (+.f64 (.f64 #s(literal 2 binary64) z) (.f64 (.f64 z (.f64 t t)) (+.f64 #s(literal 2 binary64) (.f64 t t)))))) (.f64 x (.f64 (sqrt.f64 (.f64 z (+.f64 #s(literal 2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 2 binary64) (.f64 t t))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(if (<=.f64 (.f64 t t) #s(literal 5000000 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (+.f64 (.f64 z #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 z (.f64 t t)))))) (.f64 x (.f64 (sqrt.f64 (.f64 z (+.f64 #s(literal 2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 2 binary64) (.f64 t t))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(if (<=.f64 (.f64 t t) #s(literal 3602879701896397/9007199254740992 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 x (.f64 (sqrt.f64 (.f64 z (+.f64 #s(literal 2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 2 binary64) (*.f64 t t))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(if (<=.f64 (.f64 t t) #s(literal 3602879701896397/9007199254740992 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 #s(literal 1/2 binary64) (.f64 t t)))) (.f64 x (.f64 (sqrt.f64 (.f64 z (+.f64 #s(literal 2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 2 binary64) (*.f64 t t))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(if (<=.f64 (.f64 t t) #s(literal 3602879701896397/9007199254740992 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 y (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) y))) (sqrt.f64 (.f64 t (.f64 t (.f64 (.f64 t t) z))))))
(if (<=.f64 (.f64 t t) #s(literal 3602879701896397/9007199254740992 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 #s(literal 1/2 binary64) (.f64 t t)))) (.f64 (.f64 y (+.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(literal -1 binary64))) (sqrt.f64 (.f64 t (.f64 t (.f64 z (.f64 t t)))))))
(if (<=.f64 (.f64 t t) #s(literal 3602879701896397/9007199254740992 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) (sqrt.f64 (.f64 t (.f64 (.f64 t (*.f64 t t)) z)))))
(if (<=.f64 (.f64 t t) #s(literal 3602879701896397/9007199254740992 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 #s(literal 1/2 binary64) (.f64 t t)))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 t (.f64 z (.f64 t (*.f64 t t)))))))
(if (<=.f64 (.f64 t t) #s(literal 3602879701896397/9007199254740992 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 t (.f64 (.f64 t (.f64 t t)) z)))))
(if (<=.f64 (.f64 t t) #s(literal 3602879701896397/9007199254740992 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 t (.f64 z (.f64 t (.f64 t t)))))))
(if (<=.f64 (.f64 t t) #s(literal 3602879701896397/9007199254740992 binary64)) (.f64 (-.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 t (.f64 (.f64 t (.f64 t t)) z)))))
(if (<=.f64 (.f64 t t) #s(literal 3602879701896397/9007199254740992 binary64)) (.f64 (-.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 t (.f64 z (.f64 t (.f64 t t)))))))
(if (<=.f64 (.f64 t t) #s(literal 3602879701896397/9007199254740992 binary64)) (.f64 (-.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 t (.f64 t (.f64 (.f64 t t) z))))))
(if (<=.f64 (.f64 t t) #s(literal 3602879701896397/9007199254740992 binary64)) (.f64 (-.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 t (.f64 t (.f64 z (.f64 t t)))))))
(if (<=.f64 (.f64 t t) #s(literal 3602879701896397/9007199254740992 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (sqrt.f64 z) (.f64 (.f64 #s(literal 1 binary64) (.f64 t t)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
(if (<=.f64 (.f64 t t) #s(literal 3602879701896397/9007199254740992 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (sqrt.f64 z) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 t t))))
(if (<=.f64 (.f64 t t) #s(literal 3602879701896397/9007199254740992 binary64)) (.f64 (-.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) (.f64 (sqrt.f64 z) (.f64 t t))))
(if (<=.f64 (.f64 t t) #s(literal 3602879701896397/9007199254740992 binary64)) (.f64 (-.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) (.f64 (.f64 t t) (sqrt.f64 z))))
(if (<=.f64 (.f64 t t) #s(literal 3602879701896397/9007199254740992 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (.f64 t t) (.f64 (sqrt.f64 z) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))))
(if (<=.f64 (.f64 t t) #s(literal 3602879701896397/9007199254740992 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (.f64 t t) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z))))
(if (<=.f64 t #s(literal 900000000000000033018378636816825303935572772004974172242557207789195801548918631435708638691328 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (if (<=.f64 t #s(literal 20000000000000000323456785900191669561923454243064936219351155259210830706007157687226704499288107285763810660663679263023264344934985834790648308005091295168868698197129205191161878464985997761417827125414132937520722989422036627287210875071738030889333260550144 binary64)) (.f64 (sqrt.f64 z) (.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)) x)) (.f64 (sqrt.f64 z) (.f64 #s(literal -1 binary64) (.f64 (*.f64 t t) y)))))
(if (<=.f64 t #s(literal 900000000000000033018378636816825303935572772004974172242557207789195801548918631435708638691328 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (if (<=.f64 t #s(literal 20000000000000000323456785900191669561923454243064936219351155259210830706007157687226704499288107285763810660663679263023264344934985834790648308005091295168868698197129205191161878464985997761417827125414132937520722989422036627287210875071738030889333260550144 binary64)) (.f64 (sqrt.f64 z) (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 t t)))) (.f64 (sqrt.f64 z) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 t t))))))
(if (<=.f64 t #s(literal 220000000000 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) x) (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64))) (if (<=.f64 t #s(literal 93999999999999994382642737657177036129923289906826161193952348546065594069322241101415774654585690821990977417761825317410062606236155820077278560256 binary64)) (.f64 (sqrt.f64 z) (.f64 #s(literal -1 binary64) (.f64 (.f64 t t) y))) (if (<=.f64 t #s(literal 20000000000000000323456785900191669561923454243064936219351155259210830706007157687226704499288107285763810660663679263023264344934985834790648308005091295168868698197129205191161878464985997761417827125414132937520722989422036627287210875071738030889333260550144 binary64)) (.f64 (sqrt.f64 z) (.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)) x)) (.f64 (sqrt.f64 z) (.f64 #s(literal -1 binary64) (.f64 (.f64 t t) y))))))
(if (<=.f64 t #s(literal 220000000000 binary64)) (/.f64 (.f64 x #s(literal 1/2 binary64)) (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64))) (if (<=.f64 t #s(literal 93999999999999994382642737657177036129923289906826161193952348546065594069322241101415774654585690821990977417761825317410062606236155820077278560256 binary64)) (.f64 (sqrt.f64 z) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 t t)))) (if (<=.f64 t #s(literal 20000000000000000323456785900191669561923454243064936219351155259210830706007157687226704499288107285763810660663679263023264344934985834790648308005091295168868698197129205191161878464985997761417827125414132937520722989422036627287210875071738030889333260550144 binary64)) (.f64 (sqrt.f64 z) (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 t t)))) (.f64 (sqrt.f64 z) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 t t)))))))
(if (<=.f64 t #s(literal 150000000000 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) x) (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64))) (.f64 (sqrt.f64 z) (.f64 #s(literal -1 binary64) (.f64 (.f64 t t) y))))
(if (<=.f64 t #s(literal 150000000000 binary64)) (/.f64 (.f64 x #s(literal 1/2 binary64)) (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64))) (.f64 (sqrt.f64 z) (-.f64 #s(literal 0 binary64) (.f64 y (*.f64 t t)))))
(/.f64 (.f64 #s(literal 1/2 binary64) x) (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(/.f64 (.f64 x #s(literal 1/2 binary64)) (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(.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)))))

soundness4.9s (11%)

Rules

8630×	`-lowering-.f32`
8630×	`-lowering-.f64`
7502×	`-lowering-.f32`
7502×	`-lowering-.f64`
6702×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	52	320
1	329	244
2	3052	244
0	8215	244
0	48	175
1	246	171
2	1824	171
0	9143	171
0	136	2253
1	475	1782
2	1784	1633
3	5721	1612
0	8208	1612
0	583	15454
1	2149	11940
0	8565	11940
0	44	235
1	233	213
2	1978	208
0	8614	208
0	446	10976
1	1641	8462
2	5456	8429
0	8246	8429
0	15	38
1	57	37
2	293	37
3	2677	37
0	8492	37
0	479	11922
1	1770	9298
2	6951	9241
0	8209	9241

Stop Event

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

Compiler

Compiled 3182 to 1722 computations (45.9% saved)

preprocess163.0ms (0.4%)

Remove: (abs t)
Compiler: Compiled 2236 to 506 computations (77.4% saved)

Iter	Nodes	Cost
0	171	982
1	288	982
2	335	982
3	373	982
4	396	982
5	415	982
6	427	982
7	442	982
8	449	982
9	453	982
10	454	982

Iter	Nodes	Cost
0	171	982
1	288	982
2	335	982
3	373	982
4	396	982
5	415	982
6	427	982
7	442	982
8	449	982
9	453	982
10	454	982

analyze190.0ms (0.4%)

sample2.0s (4.4%)

preprocess213.0ms (0.5%)

explain225.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify144.0ms (0.3%)

localize65.0ms (0.1%)

series37.0ms (0.1%)

rewrite479.0ms (1.1%)

simplify816.0ms (1.8%)

eval61.0ms (0.1%)

prune69.0ms (0.2%)

simplify25.7s (57.2%)

localize420.0ms (0.9%)

series83.0ms (0.2%)

rewrite614.0ms (1.4%)

simplify441.0ms (1%)

eval387.0ms (0.9%)

prune287.0ms (0.6%)

simplify466.0ms (1%)

localize407.0ms (0.9%)

series111.0ms (0.2%)

rewrite354.0ms (0.8%)

simplify479.0ms (1.1%)

eval584.0ms (1.3%)

prune288.0ms (0.6%)

simplify207.0ms (0.5%)

localize473.0ms (1.1%)

series64.0ms (0.1%)

rewrite441.0ms (1%)

simplify399.0ms (0.9%)

eval360.0ms (0.8%)

prune374.0ms (0.8%)

regimes518.0ms (1.2%)

regimes367.0ms (0.8%)

regimes69.0ms (0.2%)

regimes107.0ms (0.2%)

regimes154.0ms (0.3%)

regimes204.0ms (0.5%)

regimes181.0ms (0.4%)

regimes162.0ms (0.4%)

regimes128.0ms (0.3%)

regimes41.0ms (0.1%)

regimes34.0ms (0.1%)

regimes158.0ms (0.4%)

regimes25.0ms (0.1%)

regimes21.0ms (0%)

regimes18.0ms (0%)

regimes16.0ms (0%)

regimes108.0ms (0.2%)

regimes12.0ms (0%)

regimes11.0ms (0%)

regimes6.0ms (0%)

regimes22.0ms (0%)

regimes5.0ms (0%)

regimes14.0ms (0%)

regimes12.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch26.0ms (0.1%)

bsearch81.0ms (0.2%)

bsearch21.0ms (0%)

simplify35.0ms (0.1%)

soundness4.9s (11%)

preprocess163.0ms (0.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	171	982
1	288	982
2	335	982
3	373	982
4	396	982
5	415	982
6	427	982
7	442	982
8	449	982
9	453	982
10	454	982