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

analyze129.0ms (0.6%)

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 17 computations (22.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-mult: 29.0ms (45.3% of total)

ival-div: 11.0ms (17.2% of total)

ival-exp: 9.0ms (14.1% of total)

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

ival-sub: 5.0ms (7.8% of total)

const: 2.0ms (3.1% of total)

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

sample1.8s (8.2%)

Results

1.0s	8256×	0	valid
247.0ms	2029×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 847.0ms

ival-mult: 513.0ms (60.5% of total)

ival-sqrt: 84.0ms (9.9% of total)

ival-sub: 83.0ms (9.8% of total)

ival-div: 73.0ms (8.6% of total)

ival-exp: 69.0ms (8.1% of total)

const: 22.0ms (2.6% of total)

backward-pass: 4.0ms (0.5% of total)

Bogosity

preprocess161.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

1466×	`times-frac`
1444×	`unsub-neg`
1344×	`accelerator-lowering-fma.f32`
1344×	`accelerator-lowering-fma.f64`
936×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	248
1	192	242
2	495	240
3	1547	240
4	4036	240
5	6473	240
0	15	16
1	27	16
2	49	16
3	106	16
4	237	16
5	359	16
6	491	16
7	805	16
8	1492	16
9	1928	16
10	2062	16
11	2080	16
12	2080	16
13	2100	16
14	2108	16
15	2108	16
0	2108	16

Stop Event

1×	iter limit
1×	saturated
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)))
(* (- (* x 1/2) y) (* (sqrt (* z 2)) (pow (sqrt (exp t)) t)))
(* (* (- (* (neg x) 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2)))
(* (pow (sqrt (exp t)) t) (* (sqrt (* z 2)) (- (* x -1/2) y)))
(* (* (- (* x 1/2) (neg y)) (sqrt (* z 2))) (exp (/ (* t t) 2)))
(* (pow (sqrt (exp t)) t) (* (sqrt (* z 2)) (+ (* x 1/2) y)))
(* (* (- (* x 1/2) y) (sqrt (* (neg z) 2))) (exp (/ (* t t) 2)))
(* (sqrt (* z -2)) (* (- (* x 1/2) y) (pow (sqrt (exp t)) t)))
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* (neg t) (neg t)) 2)))
(* (- (* x 1/2) y) (* (sqrt (* z 2)) (pow (sqrt (exp t)) t)))
(neg (* (* (- (* (neg x) 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))))
(* (pow (sqrt (exp t)) t) (* (sqrt (* z 2)) (+ (* x 1/2) y)))
(neg (* (* (- (* x 1/2) (neg y)) (sqrt (* z 2))) (exp (/ (* t t) 2))))
(* (pow (sqrt (exp t)) t) (* (sqrt (* z 2)) (- (* x -1/2) y)))
(neg (* (* (- (* x 1/2) y) (sqrt (* (neg z) 2))) (exp (/ (* t t) 2))))
(* (pow (sqrt (exp t)) t) (* (sqrt (* z -2)) (+ y (* x -1/2))))
(neg (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* (neg t) (neg t)) 2))))
(* (sqrt (* z 2)) (* (pow (sqrt (exp t)) t) (+ y (* x -1/2))))
(* (* (- (* y 1/2) x) (sqrt (* z 2))) (exp (/ (* t t) 2)))
(* (sqrt (* z 2)) (* (pow (sqrt (exp t)) t) (- (* 1/2 y) x)))
(* (* (- (* z 1/2) y) (sqrt (* x 2))) (exp (/ (* t t) 2)))
(* (pow (sqrt (exp t)) t) (* (- (* 1/2 z) y) (sqrt (* x 2))))
(* (* (- (* t 1/2) y) (sqrt (* z 2))) (exp (/ (* x x) 2)))
(* (* (sqrt (* z 2)) (- (* 1/2 t) y)) (pow (sqrt (exp x)) x))
(* (* (- (* x 1/2) z) (sqrt (* y 2))) (exp (/ (* t t) 2)))
(* (- (* x 1/2) z) (* (pow (sqrt (exp t)) t) (sqrt (* y 2))))
(* (* (- (* x 1/2) t) (sqrt (* z 2))) (exp (/ (* y y) 2)))
(* (* (sqrt (* z 2)) (- (* x 1/2) t)) (sqrt (pow (exp y) y)))
(* (* (- (* x 1/2) y) (sqrt (* t 2))) (exp (/ (* z z) 2)))
(* (- (* x 1/2) y) (* (sqrt (* 2 t)) (sqrt (pow (exp z) z))))

Symmetry

(abs t)

explain198.0ms (0.9%)

FPErrors

Click to see full error table

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

131.0ms

512×

valid

Compiler

Compiled 155 to 98 computations (36.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-mult: 39.0ms (44% of total)

ival-sqrt: 19.0ms (21.4% of total)

ival-div: 13.0ms (14.7% of total)

ival-sub: 8.0ms (9% of total)

ival-exp: 6.0ms (6.8% of total)

const: 3.0ms (3.4% of total)

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

eval0.0ms (0%)

Compiler: Compiled 21 to 16 computations (23.8% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(.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))))
▶	99.9%	(.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)))))

Status

Accuracy

Program

▶

99.5%

(*.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))))

▶

99.9%

(*.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)))))

Compiler

Compiled 42 to 32 computations (23.8% saved)

localize326.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	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)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
✓	cost-diff	0	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
✓	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))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))))
✓	accuracy	100.0%	(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
✓	accuracy	100.0%	(/.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	99.7%	(.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	100.0%	(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
✓	accuracy	100.0%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
✓	accuracy	100.0%	(/.f64 (*.f64 t t) #s(literal 2 binary64))
✓	accuracy	99.9%	(.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)))))

Rules

1344×	`accelerator-lowering-fma.f32`
1344×	`accelerator-lowering-fma.f64`
922×	`-lowering-.f32`
922×	`-lowering-.f64`
448×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	87
1	32	87
2	57	87
3	135	87
4	271	87
5	371	87
6	519	87
7	849	87
8	1566	87
9	1961	87
10	2105	87
11	2123	87
12	2123	87
13	2143	87
14	2151	87
15	2151	87
0	2151	87

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

Results

117.0ms

256×

valid

Compiler

Compiled 131 to 76 computations (42% saved)

Precisions

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

ival-mult: 40.0ms (49.2% of total)

ival-div: 12.0ms (14.8% of total)

ival-sub: 9.0ms (11.1% of total)

ival-sqrt: 9.0ms (11.1% of total)

ival-exp: 8.0ms (9.8% of total)

const: 3.0ms (3.7% of total)

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

series67.0ms (0.3%)

Counts

10 → 252

Calls

Call 1

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

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

Calls

63 calls:

Time	Variable		Point	Expression
4.0ms	y	@	inf	(* (sqrt (* z 2)) (* (- (* x 1/2) y) (exp (/ (* t t) 2))))
3.0ms	x	@	-inf	(* x 1/2)
2.0ms	z	@	0	(* (sqrt (* z 2)) (* (- (* x 1/2) y) (exp (/ (* t t) 2))))
2.0ms	x	@	0	(* (sqrt (* z 2)) (* (- (* x 1/2) y) (exp (/ (* t t) 2))))
1.0ms	z	@	-inf	(* (sqrt (* z 2)) (* (- (* x 1/2) y) (exp (/ (* t t) 2))))

rewrite1.1s (4.9%)

Algorithm

1×	batch-egg-rewrite

Rules

7146×	`accelerator-lowering-fma.f32`
7146×	`accelerator-lowering-fma.f64`
4064×	`-lowering-.f32`
4064×	`-lowering-.f64`
3226×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	78
1	59	76
2	296	76
3	2514	76
0	8269	76

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 582

Calls

Call 1

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

Outputs
(+.f64 (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (.f64 x #s(literal 1/2 binary64)) (exp.f64 (/.f64 t (/.f64 #s(literal 2 binary64) t))))) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (neg.f64 (*.f64 (exp.f64 (/.f64 t (/.f64 #s(literal 2 binary64) t))) y))))
(+.f64 (.f64 (exp.f64 (/.f64 t (/.f64 #s(literal 2 binary64) t))) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 x #s(literal 1/2 binary64)))) (.f64 (exp.f64 (/.f64 t (/.f64 #s(literal 2 binary64) t))) (neg.f64 (.f64 y (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))))
(+.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)) (exp.f64 (/.f64 t (/.f64 #s(literal 2 binary64) t)))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (neg.f64 (.f64 (exp.f64 (/.f64 t (/.f64 #s(literal 2 binary64) t))) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 x #s(literal 1/2 binary64))) (exp.f64 (/.f64 t (/.f64 #s(literal 2 binary64) t)))) (.f64 (neg.f64 (.f64 y (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) (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)))))))
(fma.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (.f64 x #s(literal 1/2 binary64)) (exp.f64 (/.f64 t (/.f64 #s(literal 2 binary64) t)))) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (neg.f64 (.f64 (exp.f64 (/.f64 t (/.f64 #s(literal 2 binary64) t))) y))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))) (.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t)))))))
(fma.f64 (exp.f64 (/.f64 t (/.f64 #s(literal 2 binary64) t))) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 x #s(literal 1/2 binary64))) (.f64 (exp.f64 (/.f64 t (/.f64 #s(literal 2 binary64) t))) (neg.f64 (.f64 y (sqrt.f64 (.f64 z #s(literal 2 binary64)))))))
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(/.f64 (+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64))) (.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)))) (pow.f64 (neg.f64 (/.f64 (.f64 y y) (+.f64 (.f64 x #s(literal 1/2 binary64)) y))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y)) (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y))) (-.f64 (.f64 (neg.f64 (/.f64 (.f64 y y) (+.f64 (.f64 x #s(literal 1/2 binary64)) y))) (neg.f64 (/.f64 (.f64 y y) (+.f64 (.f64 x #s(literal 1/2 binary64)) y)))) (.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y)) (neg.f64 (/.f64 (.f64 y y) (+.f64 (*.f64 x #s(literal 1/2 binary64)) y)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 y (.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (-.f64 y (.f64 x #s(literal 1/2 binary64))) (-.f64 y (.f64 x #s(literal 1/2 binary64)))) (.f64 #s(literal 0 binary64) (-.f64 y (.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64)) #s(literal 3 binary64)) (.f64 y (.f64 y y))) (+.f64 (.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64)) (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64))) (+.f64 (.f64 y y) (.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 0 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 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y)))))
(.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (*.f64 x #s(literal 1/2 binary64)) y))))))
(.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y))) (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y)))))
(.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y))
(.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(.f64 (+.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y))))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y)))) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 y (.f64 y y))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 y (.f64 y y)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 1/2 binary64)) y)) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (*.f64 y y)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 1/2 binary64)) y)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (*.f64 y y))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 y (.f64 y y)))) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64))))))
(.f64 (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 y (.f64 y y))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64))) (.f64 (.f64 y (+.f64 (.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 x (*.f64 x #s(literal 1/4 binary64)))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 y (.f64 y y))) (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y)) (.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y))))) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y))) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1/512 binary64)) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64))) (.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 y (.f64 y y)))))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 y (*.f64 y y)))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 y y) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y))))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 y (.f64 y (.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y))))
(exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 1/2 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 1/2 binary64))) (exp.f64 (log.f64 x)))

simplify965.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

14842×	`accelerator-lowering-fma.f32`
14842×	`accelerator-lowering-fma.f64`
7484×	`-lowering-.f32`
7484×	`-lowering-.f64`
3316×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	179	3355
1	603	3129
2	2067	2913
3	5460	2913
0	8581	2889

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

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

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

eval452.0ms (2.1%)

Compiler: Compiled 42652 to 24942 computations (41.5% saved)

prune291.0ms (1.4%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	1188	18	1206
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	1190	18	1208

Accuracy

100.0%

Counts

1208 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	18.4%	(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 y (.f64 y y))) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t)))))) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
	41.4%	(/.f64 (.f64 (+.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (.f64 y (.f64 y y))) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t)))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (*.f64 x #s(literal 1/2 binary64)) y)))))
	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)))
	99.7%	(.f64 (pow.f64 (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))))
	99.7%	(.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))))))
	79.4%	(.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (/.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y)))
▶	99.9%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))))
	41.8%	(.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 y (.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (-.f64 y (.f64 x #s(literal 1/2 binary64))) (-.f64 y (.f64 x #s(literal 1/2 binary64)))) (.f64 #s(literal 0 binary64) (-.f64 y (.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))))
	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)))
▶	92.0%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))))))
	65.5%	(.f64 (.f64 (neg.f64 y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))))
▶	54.1%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
	95.0%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 (.f64 (-.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 (.f64 t t) (.f64 t t)))))
	92.8%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 (.f64 t t) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 t t) #s(literal 1/8 binary64))))) y)))
	87.5%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)) #s(literal 1 binary64))))
	96.1%	(.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 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64))))))))))
	94.3%	(.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 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64)))))))
▶	53.8%	(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))

Compiler

Compiled 1020 to 740 computations (27.5% saved)

localize1.8s (8.6%)

Algorithm

1×	egg-herbie

Localize:

Found 40 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64))
✓	cost-diff	0	(+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 y (*.f64 y y)))
✓	cost-diff	0	(.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 y (.f64 y y))) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))))
✓	cost-diff	0	(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 y (.f64 y y))) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t)))))) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
✓	cost-diff	0	(sqrt.f64 z)
✓	cost-diff	0	(.f64 (sqrt.f64 z) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
✓	cost-diff	0	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
✓	cost-diff	0	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))))))
✓	cost-diff	0	(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
✓	cost-diff	0	(*.f64 z #s(literal 2 binary64))
✓	cost-diff	0	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓	cost-diff	0	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
✓	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))))))
✓	accuracy	98.4%	(+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y)))
✓	accuracy	97.7%	(+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 y (*.f64 y y)))
✓	accuracy	94.4%	(.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))))))
✓	accuracy	50.7%	(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 y (.f64 y y))) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t)))))) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
✓	accuracy	100.0%	(sqrt.f64 z)
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.6%	(.f64 (sqrt.f64 z) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))
✓	accuracy	99.3%	(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
✓	accuracy	100.0%	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓	accuracy	99.9%	(.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))))
✓	accuracy	99.7%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
✓	accuracy	97.1%	(.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))))))
✓	accuracy	100.0%	(*.f64 z #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) x)
✓	accuracy	100.0%	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓	accuracy	99.7%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
✓	accuracy	100.0%	(exp.f64 (*.f64 t t))
✓	accuracy	100.0%	(sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))
✓	accuracy	100.0%	(.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))
✓	accuracy	99.9%	(.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

30924×	`accelerator-lowering-fma.f32`
30924×	`accelerator-lowering-fma.f64`
5814×	`-lowering-.f32`
5814×	`-lowering-.f64`
4218×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	291
1	111	291
2	285	291
3	908	291
4	3219	291
5	5403	291
0	8104	276

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

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

Results

308.0ms

256×

valid

Compiler

Compiled 396 to 194 computations (51% saved)

Precisions

Click to see histograms. Total time spent on operations: 232.0ms

ival-mult: 153.0ms (65.9% of total)

ival-sqrt: 35.0ms (15.1% of total)

ival-add: 19.0ms (8.2% of total)

ival-sub: 14.0ms (6% of total)

const: 7.0ms (3% of total)

ival-div: 2.0ms (0.9% of total)

ival-exp: 2.0ms (0.9% of total)

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

series84.0ms (0.4%)

Counts

23 → 576

Calls

Call 1

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

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

Calls

144 calls:

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

rewrite1.0s (4.8%)

Algorithm

1×	batch-egg-rewrite

Rules

12696×	`accelerator-lowering-fma.f32`
12696×	`accelerator-lowering-fma.f64`
4684×	`-lowering-.f32`
4684×	`-lowering-.f64`
3796×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	215
1	202	215
2	1519	215
0	8213	205

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 896

Calls

Call 1

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

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

simplify671.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

7484×	`accelerator-lowering-fma.f32`
7484×	`accelerator-lowering-fma.f64`
6418×	`-lowering-.f32`
6418×	`-lowering-.f64`
2926×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	586	10271
1	2051	9437
2	5348	9257
0	8496	8853

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 576

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)))
(* 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))))
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(- (* 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)))))
(* 1/8 (pow x 3))
(* 1/8 (pow x 3))
(* 1/8 (pow x 3))
(* 1/8 (pow x 3))
(* 1/8 (pow x 3))
(* 1/8 (pow x 3))
(* 1/8 (pow x 3))
(* 1/8 (pow x 3))
(* 1/8 (pow x 3))
(* 1/8 (pow x 3))
(* 1/8 (pow x 3))
(* 1/8 (pow x 3))

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

eval737.0ms (3.4%)

Compiler: Compiled 76279 to 40304 computations (47.2% saved)

prune423.0ms (2%)

Pruning

32 alts after pruning (31 fresh and 1 done)

	Pruned	Kept	Total
New	1866	28	1894
Fresh	10	3	13
Picked	4	1	5
Done	0	0	0
Total	1880	32	1912

Accuracy

100.0%

Counts

1912 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.3%	(/.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))
	92.0%	(/.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 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 t (*.f64 t #s(literal 1/8 binary64)))))))))
	25.7%	(/.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 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y)) (.f64 x (*.f64 x #s(literal 1/4 binary64)))))
	51.9%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) (.f64 t t))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t #s(literal 1/8 binary64)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t #s(literal 1/8 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t #s(literal 1/8 binary64)))))))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t #s(literal 1/8 binary64)))))) (+.f64 (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 t (*.f64 t #s(literal 1/8 binary64)))))) #s(literal -1 binary64)))))
	54.0%	(/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
	53.9%	(.f64 (pow.f64 (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
	53.8%	(.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
	38.8%	(.f64 (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
▶	16.9%	(.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 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 #s(literal -1/2 binary64) x)))))))
▶	49.3%	(.f64 (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y)))
	13.5%	(.f64 (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 y (.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y)))))) (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y))))))
	92.4%	(.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 t (.f64 t #s(literal 1/8 binary64)))))))))
	89.8%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (+.f64 (.f64 #s(literal 2 binary64) z) (.f64 (.f64 t t) (.f64 z (+.f64 #s(literal 2 binary64) (*.f64 t t)))))))
▶	83.9%	(.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))))))
	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)))
	56.3%	(.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 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t (.f64 t t)) (.f64 (.f64 t (.f64 t t)) #s(literal 1/512 binary64)))) (.f64 t t)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 t (.f64 t #s(literal 1/8 binary64))) (+.f64 (.f64 t (*.f64 t #s(literal 1/8 binary64))) #s(literal -1/2 binary64)))))))
	94.3%	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t #s(literal 1/8 binary64))))))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
	88.7%	(.f64 (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))))))
	52.5%	(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))))))
	61.0%	(.f64 (.f64 (neg.f64 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))))))
	60.0%	(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))))
	54.0%	(.f64 (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))))
✓	54.1%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
	17.3%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.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 #s(literal -1/2 binary64) x))))))
	87.5%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)) #s(literal 1 binary64))))
▶	96.1%	(.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 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64))))))))))
	55.9%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 y (+.f64 #s(literal -1 binary64) (.f64 x (/.f64 #s(literal 1/2 binary64) y)))))
	55.9%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))
	23.6%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) x))
▶	33.5%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (neg.f64 y))
	33.4%	(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (neg.f64 y)))
	66.6%	(.f64 (neg.f64 y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))))

Compiler

Compiled 1728 to 1239 computations (28.3% saved)

localize1.8s (8.4%)

Algorithm

1×	egg-herbie

Localize:

Found 40 expressions of interest:

New	Metric	Score	Program
✓	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 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))))
✓	cost-diff	128	(/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (*.f64 #s(literal -1/2 binary64) x))))))
✓	cost-diff	128	(.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 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 #s(literal -1/2 binary64) x)))))))
✓	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	128	(/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) #s(literal 1 binary64))
✓	cost-diff	128	(.f64 (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y)))
✓	cost-diff	0	(sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (+.f64 (*.f64 t t) #s(literal 1 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 (.f64 #s(literal 2 binary64) (+.f64 (*.f64 t t) #s(literal 1 binary64))))))
✓	cost-diff	-64	(neg.f64 y)
✓	cost-diff	-64	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (neg.f64 y))
✓	cost-diff	0	(*.f64 z #s(literal 2 binary64))
✓	cost-diff	0	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓	cost-diff	0	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))))
✓	cost-diff	0	(*.f64 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))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64))))))))))
✓	accuracy	96.7%	(-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (*.f64 y y))
✓	accuracy	94.1%	(/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (*.f64 #s(literal -1/2 binary64) x))))))
✓	accuracy	67.0%	(.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 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 #s(literal -1/2 binary64) x)))))))
✓	accuracy	34.7%	(/.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))))
✓	accuracy	100.0%	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓	accuracy	99.6%	(/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y))
✓	accuracy	96.7%	(-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (*.f64 y y))
✓	accuracy	66.0%	(.f64 (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y)))
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (+.f64 (.f64 t t) #s(literal 1 binary64)))
✓	accuracy	99.7%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (+.f64 (*.f64 t t) #s(literal 1 binary64))))))
✓	accuracy	93.7%	(.f64 z (.f64 #s(literal 2 binary64) (+.f64 (*.f64 t t) #s(literal 1 binary64))))
✓	accuracy	80.7%	(sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (+.f64 (*.f64 t t) #s(literal 1 binary64)))))
✓	accuracy	100.0%	(*.f64 z #s(literal 2 binary64))
✓	accuracy	100.0%	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	99.7%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (neg.f64 y))
✓	accuracy	99.8%	(.f64 t (.f64 t #s(literal 1/48 binary64)))
✓	accuracy	99.5%	(*.f64 t #s(literal 1/48 binary64))
✓	accuracy	99.2%	(.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 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64))))))))))
✓	accuracy	98.9%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))))

Rules

11478×	`accelerator-lowering-fma.f32`
11478×	`accelerator-lowering-fma.f64`
3972×	`-lowering-.f32`
3972×	`-lowering-.f64`
3952×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	424
1	152	420
2	471	420
3	1620	420
4	3254	420
5	7017	420
0	8215	384

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

Results

514.0ms

256×

valid

Compiler

Compiled 529 to 295 computations (44.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 344.0ms

ival-mult: 230.0ms (66.8% of total)

ival-add: 42.0ms (12.2% of total)

ival-sqrt: 25.0ms (7.3% of total)

ival-div: 18.0ms (5.2% of total)

ival-sub: 17.0ms (4.9% of total)

const: 11.0ms (3.2% of total)

ival-neg: 1.0ms (0.3% of total)

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

series103.0ms (0.5%)

Counts

22 → 540

Calls

Call 1

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

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

Calls

135 calls:

Time	Variable		Point	Expression
15.0ms	x	@	inf	(* (/ (- (* x (* x 1/4)) (* y y)) 1) (/ (sqrt (* z 2)) (+ (* x 1/2) y)))
3.0ms	y	@	-inf	(* (/ (- (* x (* x 1/4)) (* y y)) (+ (* 1/8 (* x (* x x))) (* y (* y y)))) (/ (sqrt (* z 2)) (/ 1 (+ (* x (* x 1/4)) (* y (+ y (* -1/2 x)))))))
3.0ms	x	@	-inf	(* (sqrt (* z 2)) (* (- (* x 1/2) y) (+ 1 (* (* t t) (+ 1/2 (* (* t t) (+ 1/8 (* t (* t 1/48)))))))))
2.0ms	z	@	-inf	(/ (sqrt (* z 2)) (+ (* x 1/2) y))
2.0ms	z	@	0	(* (/ (- (* x (* x 1/4)) (* y y)) (+ (* 1/8 (* x (* x x))) (* y (* y y)))) (/ (sqrt (* z 2)) (/ 1 (+ (* x (* x 1/4)) (* y (+ y (* -1/2 x)))))))

rewrite862.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

7384×	`accelerator-lowering-fma.f32`
7384×	`accelerator-lowering-fma.f64`
4862×	`-lowering-.f32`
4862×	`-lowering-.f64`
4476×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	261
1	303	247
2	2941	247
0	9819	230

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 965

Calls

Call 1

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

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

simplify809.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

6782×	`accelerator-lowering-fma.f32`
6782×	`accelerator-lowering-fma.f64`
5826×	`-lowering-.f32`
5826×	`-lowering-.f64`
3850×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	796	10492
1	2647	9964
2	7075	9878
0	8554	9246

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 540

Calls

Call 1

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

Outputs
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(* x (+ (* -1 (/ (* y (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))) x)) (* 1/2 (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))))
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(* -1 (* x (+ (* -1/2 (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))) (/ (* y (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))) x))))
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(* -1 (* x (+ (* -1/2 (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))) (/ (* y (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))) x))))
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(+ (* -1 (* y (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (* 1/2 (* x (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))
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(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))
(+ (* -1 (* y (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (* 1/2 (* x (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))
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(.f64 y (-.f64 #s(literal -1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 t t) #s(literal 1/48 binary64))))))))
(* y (+ (* -1 (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))) (* 1/2 (/ (* x (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))) y))))
(.f64 y (+.f64 (-.f64 #s(literal -1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))))) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 t t) #s(literal 1/48 binary64)))))))) y)))
(* y (+ (* -1 (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))) (* 1/2 (/ (* x (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))) y))))
(.f64 y (+.f64 (-.f64 #s(literal -1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))))) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 t t) #s(literal 1/48 binary64)))))))) y)))
(* y (+ (* -1 (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))) (* 1/2 (/ (* x (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))) y))))
(.f64 y (+.f64 (-.f64 #s(literal -1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))))) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 t t) #s(literal 1/48 binary64)))))))) y)))
(* -1 (* y (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))
(.f64 y (-.f64 #s(literal -1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 t t) #s(literal 1/48 binary64))))))))
(* -1 (* y (+ 1 (+ (* -1/2 (/ (* x (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))) y)) (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 t t) #s(literal 1/48 binary64))))))) x)) y)) (-.f64 #s(literal 0 binary64) y))
(* -1 (* y (+ 1 (+ (* -1/2 (/ (* x (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))) y)) (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 t t) #s(literal 1/48 binary64))))))) x)) y)) (-.f64 #s(literal 0 binary64) y))
(* -1 (* y (+ 1 (+ (* -1/2 (/ (* x (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))) y)) (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 t t) #s(literal 1/48 binary64))))))) x)) y)) (-.f64 #s(literal 0 binary64) y))
(- (* 1/2 x) y)
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(- (+ (* 1/2 x) (* 1/2 (* (pow t 2) (- (* 1/2 x) y)))) y)
(-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 (.f64 t t) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))) y)
(- (+ (* 1/2 x) (* (pow t 2) (+ (* 1/8 (* (pow t 2) (- (* 1/2 x) y))) (* 1/2 (- (* 1/2 x) y))))) y)
(+.f64 (.f64 (.f64 t t) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 t t)) #s(literal 1/2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(- (+ (* 1/2 x) (* (pow t 2) (+ (* 1/2 (- (* 1/2 x) y)) (* (pow t 2) (+ (* 1/48 (* (pow t 2) (- (* 1/2 x) y))) (* 1/8 (- (* 1/2 x) y))))))) y)
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(* 1/48 (* (pow t 6) (- (* 1/2 x) y)))
(.f64 (.f64 #s(literal 1/48 binary64) (pow.f64 t #s(literal 6 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(* (pow t 6) (+ (* 1/48 (- (* 1/2 x) y)) (* 1/8 (/ (- (* 1/2 x) y) (pow t 2)))))
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(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
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(* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))) (+ (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 6)) (sqrt z))))))
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(* 1/48 t)
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(* 1/48 t)
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(* 1/48 t)
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(* 1/48 t)
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(* 1/48 t)
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(* 1/48 (pow t 2))
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eval884.0ms (4.1%)

Compiler: Compiled 81424 to 45603 computations (44% saved)

prune392.0ms (1.8%)

Pruning

39 alts after pruning (37 fresh and 2 done)

	Pruned	Kept	Total
New	1905	23	1928
Fresh	12	14	26
Picked	4	1	5
Done	0	1	1
Total	1921	39	1960

Accuracy

100.0%

Counts

1960 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.8%	(/.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)))))
	50.3%	(/.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))
▶	25.7%	(/.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 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y)) (.f64 x (*.f64 x #s(literal 1/4 binary64)))))
	54.3%	(/.f64 (.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 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))))) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 t t) #s(literal 1/48 binary64)))))))))
	54.0%	(/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
	53.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))))
	53.9%	(.f64 (pow.f64 (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
	53.8%	(.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
	25.8%	(.f64 (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (neg.f64 y))
	42.7%	(.f64 (/.f64 (+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (/.f64 x y) (/.f64 x y)) (/.f64 x y))))) y) (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 #s(literal -1/2 binary64) x)))))))
	33.4%	(.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (.f64 (.f64 (/.f64 y x) (/.f64 y x)) #s(literal -8 binary64)) (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -16 binary64)) (.f64 x (.f64 x x))))) x) (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (*.f64 #s(literal -1/2 binary64) x)))))))
	33.7%	(.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 (/.f64 y x) (/.f64 y x)) #s(literal -8 binary64))) x) (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 #s(literal -1/2 binary64) x)))))))
	40.8%	(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y))) y) (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (*.f64 #s(literal -1/2 binary64) x)))))))
	8.2%	(.f64 (/.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 (+.f64 y (.f64 x #s(literal -1/2 binary64)))))) (+.f64 (.f64 #s(literal 1/512 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))))) (+.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x x) (.f64 x #s(literal 1/8 binary64)))))))
	33.5%	(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64))) (neg.f64 y))
	39.5%	(.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 #s(literal -1/2 binary64) x)))))))
	65.7%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (.f64 (.f64 z (+.f64 #s(literal 2 binary64) (.f64 (.f64 t t) #s(literal 2 binary64)))) (.f64 z (+.f64 #s(literal 2 binary64) (.f64 (*.f64 t t) #s(literal 2 binary64))))) #s(literal 1/4 binary64)))
	89.8%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (+.f64 (.f64 #s(literal 2 binary64) z) (.f64 (.f64 t t) (.f64 z (+.f64 #s(literal 2 binary64) (*.f64 t t)))))))
	56.6%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 (.f64 t t) (.f64 #s(literal 2 binary64) (+.f64 z (/.f64 z (.f64 t t)))))))
▶	40.4%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (*.f64 t t)))))
	54.6%	(.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (+.f64 (.f64 t t) #s(literal 1 binary64))))))
▶	95.0%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))))))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #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)))
	94.3%	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t #s(literal 1/8 binary64))))))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
	39.9%	(.f64 (.f64 (.f64 y y) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)))) (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y)))
	38.0%	(.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 y x) (/.f64 y x)))) (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y)))
▶	52.5%	(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))))))
	61.0%	(.f64 (.f64 (neg.f64 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))))))
	46.6%	(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (+.f64 (*.f64 t t) #s(literal 1 binary64))))))
	21.8%	(.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
	34.9%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)))
✓	54.1%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
	87.5%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)) #s(literal 1 binary64))))
	57.0%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))))))))
	64.4%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 y (-.f64 #s(literal -1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 t t) #s(literal 1/48 binary64)))))))))
	55.9%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 y (+.f64 #s(literal -1 binary64) (.f64 x (/.f64 #s(literal 1/2 binary64) y)))))
	55.9%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))
▶	23.6%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) x))
✓	33.5%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (neg.f64 y))

Compiler

Compiled 2151 to 1474 computations (31.5% saved)

localize1.6s (7.3%)

Algorithm

1×	egg-herbie

Localize:

Found 40 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x x)))
✓	cost-diff	0	(-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (*.f64 y y)))
✓	cost-diff	0	(.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))))
✓	cost-diff	0	(/.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 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y)) (.f64 x (*.f64 x #s(literal 1/4 binary64)))))
✓	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	0	(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))))))
✓	cost-diff	0	(sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (*.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) (*.f64 t t)))))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
✓	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))) (*.f64 #s(literal 1/2 binary64) x))
✓	cost-diff	0	(*.f64 t t)
✓	cost-diff	0	(.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))))))
✓	cost-diff	0	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))))))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))))
✓	accuracy	98.4%	(+.f64 (.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y)) (.f64 x (.f64 x #s(literal 1/4 binary64))))
✓	accuracy	95.9%	(.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))))
✓	accuracy	95.7%	(-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (*.f64 y y)))
✓	accuracy	36.0%	(/.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 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y)) (.f64 x (*.f64 x #s(literal 1/4 binary64)))))
✓	accuracy	100.0%	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓	accuracy	99.9%	(.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))))
✓	accuracy	99.6%	(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
✓	accuracy	93.6%	(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))))))
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (.f64 t t))
✓	accuracy	98.0%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (*.f64 t t)))))
✓	accuracy	85.7%	(.f64 z (.f64 #s(literal 2 binary64) (*.f64 t t)))
✓	accuracy	67.0%	(sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (*.f64 t t))))
✓	accuracy	100.0%	(*.f64 z #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) x)
✓	accuracy	100.0%	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓	accuracy	99.6%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) x))
✓	accuracy	99.9%	(.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))))))
✓	accuracy	99.7%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
✓	accuracy	99.7%	(.f64 (.f64 t t) #s(literal 1/48 binary64))
✓	accuracy	98.5%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))))))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))))

Rules

17020×	`accelerator-lowering-fma.f32`
17020×	`accelerator-lowering-fma.f64`
4968×	`+-lowering-+.f64`
4968×	`+-lowering-+.f32`
4084×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	361
1	140	361
2	425	361
3	1395	361
4	3461	361
5	5583	361
0	8832	336

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

Results

375.0ms

256×

valid

Compiler

Compiled 448 to 243 computations (45.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 291.0ms

ival-mult: 180.0ms (61.9% of total)

ival-sub: 44.0ms (15.1% of total)

ival-add: 31.0ms (10.7% of total)

ival-sqrt: 25.0ms (8.6% of total)

const: 10.0ms (3.4% of total)

ival-div: 2.0ms (0.7% of total)

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

series63.0ms (0.3%)

Counts

24 → 540

Calls

Call 1

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

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

Calls

135 calls:

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

rewrite842.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

6110×	`accelerator-lowering-fma.f32`
6110×	`accelerator-lowering-fma.f64`
4576×	`-lowering-.f32`
4576×	`-lowering-.f64`
4184×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	236
1	252	236
2	2208	232
0	8546	219

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 825

Calls

Call 1

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

Outputs
(+.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) 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 t (.f64 t #s(literal 1/48 binary64)))))))) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))))
(+.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) 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 t (.f64 t #s(literal 1/48 binary64))))))))))
(+.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) 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 t (.f64 t #s(literal 1/48 binary64))))))))) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 z #s(literal 2 binary64))))) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) 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 t (.f64 t #s(literal 1/48 binary64)))))))) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))))
(fma.f64 (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))))
(fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) 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 t (.f64 t #s(literal 1/48 binary64)))))))) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 z #s(literal 2 binary64))))))
(fma.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 z #s(literal 2 binary64))))))
(fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) 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 t (*.f64 t #s(literal 1/48 binary64))))))))))
(fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) 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 t (.f64 t #s(literal 1/48 binary64)))))))) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (-.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/8 binary64) x)) (.f64 y (.f64 y y))) (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (.f64 (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 z #s(literal 2 binary64))))))
(fma.f64 (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/8 binary64) x)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (.f64 (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))))
(fma.f64 (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (neg.f64 (-.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/8 binary64) x)) (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 x (.f64 x #s(literal 1/4 binary64)))))) (.f64 (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/8 binary64) x)) (.f64 y (.f64 y y)))) (.f64 (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/8 binary64) x)) (.f64 y (.f64 y y))))) #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 t (.f64 t #s(literal 1/48 binary64)))))))) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))))
(fma.f64 (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (-.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/8 binary64) x)) (.f64 y (.f64 y y))) (.f64 (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 z #s(literal 2 binary64))))))
(fma.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))))) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 z #s(literal 2 binary64))))))
(fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 z)) (sqrt.f64 #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 t (.f64 t #s(literal 1/48 binary64)))))))) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (.f64 z #s(literal 2 binary64))))))
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(fma.f64 #s(literal -1 binary64) y (*.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (-.f64 (.f64 y y) (.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 0 binary64) y)))) (-.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/8 binary64) x)) (.f64 y (.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 0 binary64) y)) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/8 binary64) x)) (.f64 y (.f64 y y))) (+.f64 (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 x (*.f64 x #s(literal 1/4 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/8 binary64) x)) (.f64 y (.f64 y y))) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (-.f64 (.f64 y y) (.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 0 binary64) y)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/8 binary64) x)) (.f64 y (.f64 y y))) (+.f64 (.f64 y y) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (-.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 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (-.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 0 binary64) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
(/.f64 (neg.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y))) (neg.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) y)))
(/.f64 (neg.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y))) (neg.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 0 binary64) y))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/8 binary64) x)) (.f64 y (.f64 y y)))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 x (*.f64 x #s(literal 1/4 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/8 binary64) x)) (.f64 y (.f64 y y)))) (neg.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (-.f64 (.f64 y y) (.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 0 binary64) y))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/8 binary64) x)) (+.f64 (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (.f64 (+.f64 (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 x (.f64 x #s(literal 1/4 binary64)))) (.f64 y (.f64 y y)))) (.f64 (+.f64 (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 x (.f64 x #s(literal 1/4 binary64)))) (+.f64 (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 x (.f64 x #s(literal 1/4 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (+.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 y y))) (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) y) (+.f64 (.f64 #s(literal 1/2 binary64) x) y)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)))) (neg.f64 (neg.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) y))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/8 binary64) x)) (.f64 y (.f64 y y))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 x (*.f64 x #s(literal 1/4 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/8 binary64) x)) (+.f64 (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 x (.f64 x #s(literal 1/4 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 x (.f64 x #s(literal 1/4 binary64))))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/8 binary64) x)) (+.f64 (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (/.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/8 binary64) x)) (+.f64 (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 x (.f64 x #s(literal 1/4 binary64)))))) (+.f64 (.f64 (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 x (.f64 x #s(literal 1/4 binary64)))))) (.f64 (/.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/8 binary64) x)) (+.f64 (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 x (*.f64 x #s(literal 1/4 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (+.f64 (.f64 #s(literal 1/2 binary64) x) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y y) (+.f64 (.f64 #s(literal 1/2 binary64) x) y)) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (+.f64 (.f64 #s(literal 1/2 binary64) x) y)) (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (+.f64 (.f64 #s(literal 1/2 binary64) x) y))) (+.f64 (.f64 (/.f64 (.f64 y y) (+.f64 (.f64 #s(literal 1/2 binary64) x) y)) (/.f64 (.f64 y y) (+.f64 (.f64 #s(literal 1/2 binary64) x) y))) (.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (+.f64 (.f64 #s(literal 1/2 binary64) x) y)) (/.f64 (.f64 y y) (+.f64 (*.f64 #s(literal 1/2 binary64) x) y))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) #s(literal -1 binary64))
(.f64 (-.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/8 binary64) x)) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 x (.f64 x #s(literal 1/4 binary64))))))
(.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))))
(.f64 (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (+.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/8 binary64) x)) (.f64 y (.f64 y y)))) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) x)))))
(.f64 (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))
(.f64 (/.f64 (+.f64 (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 x (.f64 x #s(literal 1/4 binary64)))) (+.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) y) (+.f64 (.f64 #s(literal 1/2 binary64) x) y)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64))))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) x) y)))) (.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) x) y))))))))
(.f64 (/.f64 (+.f64 (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 x (.f64 x #s(literal 1/4 binary64)))) (-.f64 (.f64 y (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) x) y)))) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 x (*.f64 x #s(literal 1/4 binary64)))))))
(.f64 (/.f64 (-.f64 (.f64 #s(literal 1/512 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))))) (+.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) y) (+.f64 (.f64 #s(literal 1/2 binary64) x) y)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64))) (.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/8 binary64) x)) (.f64 y (.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) x) y)))) (.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) x) y))))))))
(.f64 (/.f64 (-.f64 (.f64 #s(literal 1/512 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))))) (-.f64 (.f64 y (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) x) y)))) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64))) (.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/8 binary64) x)) (.f64 y (.f64 y y)))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 x (*.f64 x #s(literal 1/4 binary64)))))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64))) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) (+.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) y) (+.f64 (.f64 #s(literal 1/2 binary64) x) y)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/8 binary64) x)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) x) y)))) (.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) x) y))))))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64))) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) (-.f64 (.f64 y (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) x) y)))) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/8 binary64) x)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 x (.f64 x #s(literal 1/4 binary64)))))))
(.f64 (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) y) (+.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/8 binary64) x)) (.f64 y (.f64 y y)))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (-.f64 y (.f64 #s(literal 1/2 binary64) x)))))))
(.f64 (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) y) (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (+.f64 (.f64 #s(literal 1/2 binary64) x) y)))
(.f64 (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) y) (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (-.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/8 binary64) x)) (.f64 y (.f64 y y))))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (+.f64 (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 x (*.f64 x #s(literal 1/4 binary64))))))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(exp.f64 (.f64 #s(literal 3 binary64) (log.f64 (.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3/2 binary64)))
(pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))
(pow.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64))
(.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 x #s(literal 1/4 binary64))))
(.f64 (.f64 x x) (*.f64 #s(literal 1/8 binary64) x))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64))
(.f64 (.f64 x (*.f64 x x)) (pow.f64 #s(literal 1/4 binary64) #s(literal 3/2 binary64)))
(.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 #s(literal 1/2 binary64) x))
(.f64 (.f64 #s(literal 1/8 binary64) x) (*.f64 x x))
(.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3/2 binary64)))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (.f64 x #s(literal 1/4 binary64)) #s(literal 3/2 binary64)))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/2 binary64)))
(.f64 (.f64 #s(literal 1/8 binary64) (*.f64 x x)) x)
(.f64 (.f64 (*.f64 #s(literal 1/8 binary64) x) x) x)
(.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (pow.f64 (.f64 x (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (.f64 x #s(literal 1/4 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 3/2 binary64)) (.f64 x (*.f64 x x)))
(.f64 (pow.f64 (.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 #s(literal 1/2 binary64) x) x) #s(literal 3/2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)))

simplify717.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

7950×	`-lowering-.f32`
7950×	`-lowering-.f64`
7648×	`accelerator-lowering-fma.f32`
7648×	`accelerator-lowering-fma.f64`
1628×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	486	8389
1	1704	7755
2	6358	7638
0	8702	7311

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 540

Calls

Call 1

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

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

eval784.0ms (3.7%)

Compiler: Compiled 62422 to 35891 computations (42.5% saved)

prune343.0ms (1.6%)

Pruning

39 alts after pruning (35 fresh and 4 done)

	Pruned	Kept	Total
New	1640	14	1654
Fresh	11	21	32
Picked	3	2	5
Done	0	2	2
Total	1654	39	1693

Accuracy

100.0%

Counts

1693 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.8%	(/.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)))))
	36.8%	(/.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 y y))
	33.1%	(/.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 x (*.f64 x #s(literal 1/4 binary64))))
	54.3%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 t t) (.f64 t t)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64))))))))) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) 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 t (*.f64 t #s(literal 1/48 binary64))))))))))
	54.0%	(/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
	23.5%	(.f64 (pow.f64 (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
	53.8%	(.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
	22.8%	(.f64 (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) x))
	42.7%	(.f64 (/.f64 (+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (/.f64 x y) (/.f64 x y)) (/.f64 x y))))) y) (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 #s(literal -1/2 binary64) x)))))))
	33.4%	(.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (.f64 (.f64 (/.f64 y x) (/.f64 y x)) #s(literal -8 binary64)) (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -16 binary64)) (.f64 x (.f64 x x))))) x) (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (*.f64 #s(literal -1/2 binary64) x)))))))
	33.7%	(.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 (/.f64 y x) (/.f64 y x)) #s(literal -8 binary64))) x) (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 #s(literal -1/2 binary64) x)))))))
	40.8%	(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y))) y) (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (*.f64 #s(literal -1/2 binary64) x)))))))
	8.2%	(.f64 (/.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 (+.f64 y (.f64 x #s(literal -1/2 binary64)))))) (+.f64 (.f64 #s(literal 1/512 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))))) (+.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x x) (.f64 x #s(literal 1/8 binary64)))))))
	33.5%	(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64))) (neg.f64 y))
	43.6%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (.f64 (.f64 z (.f64 (.f64 t t) #s(literal 2 binary64))) (.f64 z (.f64 (*.f64 t t) #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
	29.3%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) t))
	89.8%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (+.f64 (.f64 #s(literal 2 binary64) z) (.f64 (.f64 t t) (.f64 z (+.f64 #s(literal 2 binary64) (*.f64 t t)))))))
	35.3%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 (.f64 (*.f64 z #s(literal 2 binary64)) t) t)))
	56.6%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 (.f64 t t) (.f64 #s(literal 2 binary64) (+.f64 z (/.f64 z (.f64 t t)))))))
	54.6%	(.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (+.f64 (.f64 t t) #s(literal 1 binary64))))))
	28.5%	(.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (.f64 t t)))))
	86.4%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 t t))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))))
✓	52.5%	(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))))))
	46.5%	(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 t t))))
	52.5%	(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) (.f64 t t)))))
	61.0%	(.f64 (.f64 (neg.f64 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))))))
	42.5%	(.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (*.f64 t t)))))
	46.6%	(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (+.f64 (*.f64 t t) #s(literal 1 binary64))))))
	29.2%	(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (*.f64 t t)))))
	21.8%	(.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
	34.9%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)))
✓	54.1%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
	87.5%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)) #s(literal 1 binary64))))
	57.0%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))))))))
	64.4%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 y (-.f64 #s(literal -1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 t t) #s(literal 1/48 binary64)))))))))
	55.9%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 y (+.f64 #s(literal -1 binary64) (.f64 x (/.f64 #s(literal 1/2 binary64) y)))))
	55.9%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))
✓	23.6%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) x))
✓	33.5%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (neg.f64 y))

Compiler

Compiled 3112 to 1947 computations (37.4% saved)

regimes324.0ms (1.5%)

Counts

85 → 1

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (neg.f64 y))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) x))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.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))) (neg.f64 y))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (*.f64 t t)))))
(.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (.f64 t t)))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) t))
(.f64 (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (neg.f64 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 (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 y (+.f64 #s(literal -1 binary64) (.f64 x (/.f64 #s(literal 1/2 binary64) y)))))
(.f64 (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 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)))
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (+.f64 (*.f64 t t) #s(literal 1 binary64))))))
(.f64 (-.f64 #s(literal 0 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 t t)))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 (.f64 (*.f64 z #s(literal 2 binary64)) t) t)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))))
(.f64 (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (*.f64 t t)))))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (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 z (.f64 #s(literal 2 binary64) (+.f64 (*.f64 t t) #s(literal 1 binary64))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)) #s(literal 1 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 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 t t))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) (.f64 t t)))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 (.f64 t t) (.f64 #s(literal 2 binary64) (+.f64 z (/.f64 z (.f64 t t)))))))
(/.f64 (.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y))
(/.f64 (-.f64 (.f64 x (.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 (neg.f64 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 1/2 binary64) x) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (+.f64 (.f64 #s(literal 2 binary64) z) (.f64 (.f64 t t) (.f64 z (+.f64 #s(literal 2 binary64) (*.f64 t t)))))))
(.f64 (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (.f64 z #s(literal 2 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 y y))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (.f64 (.f64 z (.f64 (.f64 t t) #s(literal 2 binary64))) (.f64 z (.f64 (*.f64 t t) #s(literal 2 binary64)))) #s(literal 1/4 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 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64)))))))
(.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 y x) (/.f64 y x)))) (/.f64 (sqrt.f64 (.f64 z #s(literal 2 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 t (.f64 t #s(literal 1/8 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))))))
(.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 t (.f64 t #s(literal 1/8 binary64)))))))))
(.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 #s(literal -1/2 binary64) x)))))))
(/.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 x (*.f64 x #s(literal 1/4 binary64))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 y (-.f64 #s(literal -1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 t t) #s(literal 1/48 binary64)))))))))
(.f64 (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))))))
(.f64 (.f64 (.f64 y y) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.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 #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 t (*.f64 t #s(literal 1/8 binary64)))))))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (.f64 (.f64 z (+.f64 #s(literal 2 binary64) (.f64 (.f64 t t) #s(literal 2 binary64)))) (.f64 z (+.f64 #s(literal 2 binary64) (.f64 (*.f64 t t) #s(literal 2 binary64))))) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 (.f64 t t) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 t t) #s(literal 1/8 binary64))))) y)))
(.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 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64))))))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))))))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))))
(/.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 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y)) (.f64 x (*.f64 x #s(literal 1/4 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y))) y) (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (*.f64 #s(literal -1/2 binary64) x)))))))
(.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 (/.f64 y x) (/.f64 y x)) #s(literal -8 binary64))) x) (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 #s(literal -1/2 binary64) x)))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 (.f64 (-.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 (.f64 t t) (.f64 t t)))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.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 #s(literal -1/2 binary64) x))))))
(.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 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 #s(literal -1/2 binary64) x)))))))
(.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 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t (.f64 t t)) (.f64 (.f64 t (.f64 t t)) #s(literal 1/512 binary64)))) (.f64 t t)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 t (.f64 t #s(literal 1/8 binary64))) (+.f64 (.f64 t (*.f64 t #s(literal 1/8 binary64))) #s(literal -1/2 binary64)))))))
(.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (.f64 (.f64 (/.f64 y x) (/.f64 y x)) #s(literal -8 binary64)) (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -16 binary64)) (.f64 x (.f64 x x))))) x) (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (*.f64 #s(literal -1/2 binary64) x)))))))
(.f64 (/.f64 (+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (/.f64 x y) (/.f64 x y)) (/.f64 x y))))) y) (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 #s(literal -1/2 binary64) x)))))))
(.f64 (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 y (.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y)))))) (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y))))))
(/.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 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 (.f64 t t) #s(literal 1/48 binary64))))))) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 t t) #s(literal 1/48 binary64)))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 t t) (.f64 t t)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64))))))))) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) 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 t (*.f64 t #s(literal 1/48 binary64))))))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) (.f64 t t))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t #s(literal 1/8 binary64)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t #s(literal 1/8 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t #s(literal 1/8 binary64)))))))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t #s(literal 1/8 binary64)))))) (+.f64 (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 t (*.f64 t #s(literal 1/8 binary64)))))) #s(literal -1 binary64)))))
(.f64 (/.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 (+.f64 y (.f64 x #s(literal -1/2 binary64)))))) (+.f64 (.f64 #s(literal 1/512 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))))) (+.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x x) (.f64 x #s(literal 1/8 binary64)))))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (neg.f64 y)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(.f64 (pow.f64 (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(.f64 (neg.f64 y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))))
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))))
(.f64 (pow.f64 (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(.f64 (.f64 (neg.f64 y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(/.f64 (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 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (/.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 y (.f64 y y))) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t)))))) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(/.f64 (.f64 (+.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (.f64 y (.f64 y y))) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t)))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (*.f64 x #s(literal 1/2 binary64)) y)))))
(.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(.f64 (pow.f64 (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))))
(.f64 (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 #s(literal 0 binary64) (pow.f64 (-.f64 y (.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (-.f64 y (.f64 x #s(literal 1/2 binary64))) (-.f64 y (.f64 x #s(literal 1/2 binary64)))) (.f64 #s(literal 0 binary64) (-.f64 y (.f64 x #s(literal 1/2 binary64))))))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))))

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:

36.0ms	(*.f64 x #s(literal 1/2 binary64))
30.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
26.0ms	(*.f64 z #s(literal 2 binary64))
26.0ms	y
25.0ms	t

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`
99.9%	1	`t`
99.9%	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))))`
99.9%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
99.9%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
99.9%	1	`(*.f64 x #s(literal 1/2 binary64))`
99.9%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
99.9%	1	`(*.f64 z #s(literal 2 binary64))`
99.9%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
99.9%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
99.9%	1	`(*.f64 t t)`

Compiler

Compiled 112 to 89 computations (20.5% saved)

regimes364.0ms (1.7%)

Counts

74 → 1

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (neg.f64 y))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) x))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.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))) (neg.f64 y))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (*.f64 t t)))))
(.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (.f64 t t)))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) t))
(.f64 (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (neg.f64 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 (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 y (+.f64 #s(literal -1 binary64) (.f64 x (/.f64 #s(literal 1/2 binary64) y)))))
(.f64 (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 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)))
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (+.f64 (*.f64 t t) #s(literal 1 binary64))))))
(.f64 (-.f64 #s(literal 0 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 t t)))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 (.f64 (*.f64 z #s(literal 2 binary64)) t) t)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))))
(.f64 (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (*.f64 t t)))))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (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 z (.f64 #s(literal 2 binary64) (+.f64 (*.f64 t t) #s(literal 1 binary64))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)) #s(literal 1 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 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 t t))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) (.f64 t t)))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 (.f64 t t) (.f64 #s(literal 2 binary64) (+.f64 z (/.f64 z (.f64 t t)))))))
(/.f64 (.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y))
(/.f64 (-.f64 (.f64 x (.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 (neg.f64 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 1/2 binary64) x) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (+.f64 (.f64 #s(literal 2 binary64) z) (.f64 (.f64 t t) (.f64 z (+.f64 #s(literal 2 binary64) (*.f64 t t)))))))
(.f64 (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (.f64 z #s(literal 2 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 y y))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (.f64 (.f64 z (.f64 (.f64 t t) #s(literal 2 binary64))) (.f64 z (.f64 (*.f64 t t) #s(literal 2 binary64)))) #s(literal 1/4 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 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64)))))))
(.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 y x) (/.f64 y x)))) (/.f64 (sqrt.f64 (.f64 z #s(literal 2 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 t (.f64 t #s(literal 1/8 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))))))
(.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 t (.f64 t #s(literal 1/8 binary64)))))))))
(.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 #s(literal -1/2 binary64) x)))))))
(/.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 x (*.f64 x #s(literal 1/4 binary64))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 y (-.f64 #s(literal -1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 t t) #s(literal 1/48 binary64)))))))))
(.f64 (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))))))
(.f64 (.f64 (.f64 y y) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.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 #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 t (*.f64 t #s(literal 1/8 binary64)))))))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (.f64 (.f64 z (+.f64 #s(literal 2 binary64) (.f64 (.f64 t t) #s(literal 2 binary64)))) (.f64 z (+.f64 #s(literal 2 binary64) (.f64 (*.f64 t t) #s(literal 2 binary64))))) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 (.f64 t t) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 t t) #s(literal 1/8 binary64))))) y)))
(.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 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64))))))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))))))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))))
(/.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 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y)) (.f64 x (*.f64 x #s(literal 1/4 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y))) y) (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (*.f64 #s(literal -1/2 binary64) x)))))))
(.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 (/.f64 y x) (/.f64 y x)) #s(literal -8 binary64))) x) (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 #s(literal -1/2 binary64) x)))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 (.f64 (-.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 (.f64 t t) (.f64 t t)))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.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 #s(literal -1/2 binary64) x))))))
(.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 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 #s(literal -1/2 binary64) x)))))))
(.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 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t (.f64 t t)) (.f64 (.f64 t (.f64 t t)) #s(literal 1/512 binary64)))) (.f64 t t)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 t (.f64 t #s(literal 1/8 binary64))) (+.f64 (.f64 t (*.f64 t #s(literal 1/8 binary64))) #s(literal -1/2 binary64)))))))
(.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (.f64 (.f64 (/.f64 y x) (/.f64 y x)) #s(literal -8 binary64)) (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -16 binary64)) (.f64 x (.f64 x x))))) x) (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (*.f64 #s(literal -1/2 binary64) x)))))))
(.f64 (/.f64 (+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (/.f64 x y) (/.f64 x y)) (/.f64 x y))))) y) (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 y (.f64 #s(literal -1/2 binary64) x)))))))
(.f64 (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 y (.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y)))))) (/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (.f64 x #s(literal 1/2 binary64)) y))))))
(/.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 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 (.f64 t t) #s(literal 1/48 binary64))))))) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 t t) #s(literal 1/48 binary64)))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 t t) (.f64 t t)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64)))))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 t (.f64 t #s(literal 1/48 binary64))))))))) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) 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 t (*.f64 t #s(literal 1/48 binary64))))))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) (.f64 t t))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t #s(literal 1/8 binary64)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t #s(literal 1/8 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t #s(literal 1/8 binary64)))))))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t #s(literal 1/8 binary64)))))) (+.f64 (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 t (*.f64 t #s(literal 1/8 binary64)))))) #s(literal -1 binary64)))))
(.f64 (/.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 (+.f64 y (.f64 x #s(literal -1/2 binary64)))))) (+.f64 (.f64 #s(literal 1/512 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))))) (+.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x x) (.f64 x #s(literal 1/8 binary64)))))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (neg.f64 y)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(.f64 (pow.f64 (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(.f64 (neg.f64 y) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))))
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))))
(.f64 (pow.f64 (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(.f64 (.f64 (neg.f64 y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))))

Outputs

(*.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 (*.f64 t t) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1/8 binary64) (*.f64 t (*.f64 t #s(literal 1/48 binary64))))))))))

Calls

12 calls:

52.0ms	t
47.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
40.0ms	(/.f64 (*.f64 t t) #s(literal 2 binary64))
36.0ms	(*.f64 t t)
33.0ms	(*.f64 z #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
96.1%	1	`x`
96.1%	1	`y`
96.1%	1	`z`
98.4%	3	`t`
96.1%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
96.1%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
96.1%	1	`(*.f64 x #s(literal 1/2 binary64))`
96.1%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
96.1%	1	`(*.f64 z #s(literal 2 binary64))`
96.1%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
98.4%	3	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
98.4%	3	`(*.f64 t t)`

Compiler

Compiled 91 to 73 computations (19.8% saved)

regimes231.0ms (1.1%)

Counts

51 → 1

Calls

Call 1

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

Outputs

(*.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 (*.f64 t t) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) #s(literal 1/8 binary64)))))))

Calls

10 calls:

96.0ms	t
16.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
16.0ms	(*.f64 z #s(literal 2 binary64))
15.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
15.0ms	y

Results

Accuracy	Segments	Branch
94.3%	1	`t`
94.3%	1	`(*.f64 t t)`
94.3%	1	`z`
94.3%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
94.3%	1	`(*.f64 z #s(literal 2 binary64))`
94.3%	1	`x`
94.3%	1	`y`
94.3%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
94.3%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
94.3%	1	`(*.f64 x #s(literal 1/2 binary64))`

Compiler

Compiled 72 to 58 computations (19.4% saved)

regimes118.0ms (0.6%)

Counts

37 → 1

Calls

Call 1

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

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

Calls

10 calls:

14.0ms	x
13.0ms	t
13.0ms	z
12.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
11.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)

Results

Accuracy	Segments	Branch
89.8%	1	`x`
89.8%	1	`y`
89.8%	1	`z`
89.8%	1	`t`
89.8%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
89.8%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
89.8%	1	`(*.f64 x #s(literal 1/2 binary64))`
89.8%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
89.8%	1	`(*.f64 z #s(literal 2 binary64))`
89.8%	1	`(*.f64 t t)`

Compiler

Compiled 72 to 58 computations (19.4% saved)

regimes270.0ms (1.3%)

Counts

33 → 1

Calls

Call 1

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

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

Calls

10 calls:

105.0ms	(*.f64 z #s(literal 2 binary64))
33.0ms	t
29.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
26.0ms	y
21.0ms	(*.f64 t t)

Results

Accuracy	Segments	Branch
87.5%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
87.5%	1	`x`
89.4%	3	`y`
87.5%	1	`z`
87.5%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
87.5%	1	`(*.f64 x #s(literal 1/2 binary64))`
87.5%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
87.5%	1	`(*.f64 z #s(literal 2 binary64))`
90.5%	3	`t`
90.5%	3	`(*.f64 t t)`

Compiler

Compiled 72 to 58 computations (19.4% saved)

regimes79.0ms (0.4%)

Counts

24 → 1

Calls

Call 1

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

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

Calls

10 calls:

12.0ms	x
8.0ms	(*.f64 z #s(literal 2 binary64))
8.0ms	(*.f64 x #s(literal 1/2 binary64))
8.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
7.0ms	t

Results

Accuracy	Segments	Branch
83.9%	1	`y`
83.9%	1	`t`
83.9%	1	`(*.f64 t t)`
83.9%	1	`x`
83.9%	1	`z`
83.9%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
83.9%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
83.9%	1	`(*.f64 x #s(literal 1/2 binary64))`
83.9%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
83.9%	1	`(*.f64 z #s(literal 2 binary64))`

Compiler

Compiled 72 to 58 computations (19.4% saved)

regimes393.0ms (1.8%)

Counts

23 → 2

Calls

Call 1

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

Outputs

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

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

Calls

10 calls:

117.0ms	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
86.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
32.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
30.0ms	(*.f64 z #s(literal 2 binary64))
30.0ms	z

Results

Accuracy	Segments	Branch
65.1%	6	`z`
85.1%	2	`t`
69.3%	8	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
65.1%	6	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
65.1%	6	`(*.f64 z #s(literal 2 binary64))`
85.1%	2	`(*.f64 t t)`
76.7%	6	`x`
67.8%	5	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
76.7%	6	`(*.f64 x #s(literal 1/2 binary64))`
72.0%	3	`y`

Compiler

Compiled 72 to 58 computations (19.4% saved)

regimes23.0ms (0.1%)

Counts

21 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

13.0ms	t
8.0ms	(*.f64 t t)

Results

Accuracy	Segments	Branch
83.7%	2	`t`
83.7%	2	`(*.f64 t t)`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes24.0ms (0.1%)

Counts

16 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

13.0ms	t
10.0ms	(*.f64 t t)

Results

Accuracy	Segments	Branch
77.4%	3	`t`
77.4%	3	`(*.f64 t t)`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes10.0ms (0%)

Counts

7 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

5.0ms	(*.f64 t t)
4.0ms	t

Results

Accuracy	Segments	Branch
75.0%	2	`t`
75.0%	2	`(*.f64 t t)`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes15.0ms (0.1%)

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

9.0ms	t
4.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
55.9%	1	`y`
58.1%	3	`x`
59.6%	2	`t`

Compiler

Compiled 15 to 12 computations (20% saved)

regimes14.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
54.1%	1	`x`
54.1%	1	`y`
54.1%	1	`z`
54.1%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
54.1%	1	`(*.f64 z #s(literal 2 binary64))`
54.1%	1	`t`

Compiler

Compiled 35 to 29 computations (17.1% saved)

regimes16.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

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

Outputs

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

(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 y))

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
45.7%	3	`x`
45.7%	3	`y`
38.3%	5	`z`
38.3%	5	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
38.3%	5	`(*.f64 z #s(literal 2 binary64))`
35.2%	3	`t`

Compiler

Compiled 35 to 29 computations (17.1% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (neg.f64 y))

Outputs
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (neg.f64 y))

Calls

2 calls:

0.0ms	x
0.0ms	y

Results

Accuracy	Segments	Branch
33.5%	1	`y`
33.5%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.08944891929318e-8	1.7946914891192172e-7

Compiler

Compiled 28 to 22 computations (21.4% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.08944891929318e-8	1.7946914891192172e-7

Compiler

Compiled 28 to 22 computations (21.4% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.542190163001565e+270	6.206390072543715e+276
0.0ms	3.08944891929318e-8	1.7946914891192172e-7

Compiler

Compiled 28 to 22 computations (21.4% saved)

bsearch19.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.583628477638801e+88	1.0288415023911088e+92

Results

11.0ms

128×

valid

Compiler

Compiled 268 to 214 computations (20.1% saved)

Precisions

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

ival-mult: 3.0ms (43.7% of total)

ival-sub: 1.0ms (14.6% of total)

ival-div: 1.0ms (14.6% of total)

ival-exp: 1.0ms (14.6% of total)

ival-sqrt: 1.0ms (14.6% of total)

const: 0.0ms (0% of total)

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

bsearch13.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.0001757682826704858	0.00042363799276259645

Results

9.0ms

80×

valid

Compiler

Compiled 188 to 147 computations (21.8% saved)

Precisions

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

ival-mult: 3.0ms (60.2% of total)

ival-div: 1.0ms (20.1% of total)

ival-exp: 1.0ms (20.1% of total)

ival-sqrt: 1.0ms (20.1% of total)

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

const: 0.0ms (0% of total)

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

bsearch45.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	5.582551181468685e+125	1.520661540768408e+134
22.0ms	-7.22808573757563e-12	-5.2229073252063075e-23

Results

30.0ms

304×

valid

Compiler

Compiled 503 to 421 computations (16.3% saved)

Precisions

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

ival-mult: 9.0ms (48.4% of total)

ival-sqrt: 3.0ms (16.1% of total)

ival-sub: 2.0ms (10.7% of total)

ival-div: 2.0ms (10.7% of total)

ival-exp: 2.0ms (10.7% of total)

const: 1.0ms (5.4% of total)

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

soundness5.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 339 to 215 computations (36.6% saved)

preprocess110.0ms (0.5%)

Remove: (abs t)
Compiler: Compiled 1108 to 750 computations (32.3% saved)

analyze129.0ms (0.6%)

sample1.8s (8.2%)

preprocess161.0ms (0.8%)

explain198.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

localize326.0ms (1.5%)

series67.0ms (0.3%)

rewrite1.1s (4.9%)

simplify965.0ms (4.5%)

eval452.0ms (2.1%)

prune291.0ms (1.4%)

localize1.8s (8.6%)

series84.0ms (0.4%)

rewrite1.0s (4.8%)

simplify671.0ms (3.1%)

eval737.0ms (3.4%)

prune423.0ms (2%)

localize1.8s (8.4%)

series103.0ms (0.5%)

rewrite862.0ms (4%)

simplify809.0ms (3.8%)

eval884.0ms (4.1%)

prune392.0ms (1.8%)

localize1.6s (7.3%)

series63.0ms (0.3%)

rewrite842.0ms (3.9%)

simplify717.0ms (3.3%)

eval784.0ms (3.7%)

prune343.0ms (1.6%)

regimes324.0ms (1.5%)

regimes364.0ms (1.7%)

regimes231.0ms (1.1%)

regimes118.0ms (0.6%)

regimes270.0ms (1.3%)

regimes79.0ms (0.4%)

regimes393.0ms (1.8%)

regimes23.0ms (0.1%)

regimes24.0ms (0.1%)

regimes10.0ms (0%)

regimes15.0ms (0.1%)

regimes14.0ms (0.1%)

regimes16.0ms (0.1%)

regimes1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch19.0ms (0.1%)

bsearch13.0ms (0.1%)

bsearch45.0ms (0.2%)

soundness5.0ms (0%)

preprocess110.0ms (0.5%)

end0.0ms (0%)

Profiling