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

analyze217.0ms (0.5%)

Algorithm

1×

Search

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 113.0ms

ival-mult: 77.0ms (67.9% of total)

ival-exp: 15.0ms (13.2% of total)

ival-div: 7.0ms (6.2% of total)

ival-sqrt: 7.0ms (6.2% of total)

ival-sub: 5.0ms (4.4% of total)

const: 2.0ms (1.8% of total)

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

sample27.5s (66.9%)

Results

1.1s	8256×	0	valid
250.0ms	1981×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 884.0ms

ival-mult: 474.0ms (53.6% of total)

ival-sqrt: 161.0ms (18.2% of total)

ival-div: 95.0ms (10.8% of total)

ival-exp: 68.0ms (7.7% of total)

ival-sub: 63.0ms (7.1% of total)

const: 19.0ms (2.2% of total)

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

Bogosity

preprocess179.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Call 2

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

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

Symmetry

(abs t)

explain170.0ms (0.4%)

FPErrors

Click to see full error table

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

Results

111.0ms

512×

valid

Compiler

Compiled 155 to 47 computations (69.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 17.0ms (51.8% of total)

ival-div: 4.0ms (12.2% of total)

ival-sqrt: 4.0ms (12.2% of total)

ival-sub: 3.0ms (9.1% of total)

ival-exp: 3.0ms (9.1% of total)

const: 1.0ms (3% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.f64 (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 21 to 15 computations (28.6% saved)

simplify146.0ms (0.4%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

2866×	`sum3-define`
1696×	`sum5-define`
1458×	`fnmsub-define`
1426×	`fmsub-define`
1376×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	53
1	30	53
2	60	53
3	149	53
4	328	53
5	516	53
6	833	53
7	1437	53
8	3891	53
9	6183	53
10	7936	53
0	8066	53

Stop Event

1×	iter limit
1×	node limit

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

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

localize59.0ms (0.1%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
✓	accuracy	100.0%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
✓	accuracy	99.8%	(.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	99.7%	(/.f64 (*.f64 t t) #s(literal 2 binary64))

Results

42.0ms

256×

valid

Compiler

Compiled 69 to 16 computations (76.8% saved)

Precisions

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

ival-mult: 9.0ms (39.3% of total)

ival-sqrt: 6.0ms (26.2% of total)

ival-exp: 4.0ms (17.5% of total)

ival-div: 2.0ms (8.7% of total)

ival-sub: 1.0ms (4.4% of total)

const: 1.0ms (4.4% of total)

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

series21.0ms (0.1%)

Counts

6 → 132

Calls

Call 1

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

Calls

33 calls:

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

rewrite448.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3148×	`-lowering-.f32`
3148×	`-lowering-.f64`
2706×	`/-lowering-/.f32`
2706×	`/-lowering-/.f64`
1554×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	38
1	57	38
2	297	37
3	2768	37
0	8714	37

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 228

Calls

Call 1

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

simplify442.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

4148×	`-lowering-.f32`
4148×	`-lowering-.f64`
2006×	`fma-lowering-fma.f32`
2006×	`fma-lowering-fma.f64`
1834×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	133	2034
1	460	1707
2	1791	1505
3	5757	1493
0	8241	1493

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

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))))
(* (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 (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))
(* 1/2 (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
(+ 1 (* 1/2 (pow t 2)))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))

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

eval542.0ms (1.3%)

Compiler: Compiled 8592 to 901 computations (89.5% saved)

prune50.0ms (0.1%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	345	15	360
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	346	15	361

Accuracy

100.0%

Counts

361 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	76.6%	(/.f64 (.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 z #s(literal 2 binary64))))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y))
	21.2%	(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 y (.f64 y y))) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 z #s(literal 2 binary64))))) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
	99.8%	(/.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
	99.6%	(.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)))))
	71.8%	(.f64 (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))))
▶	99.8%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (*.f64 z #s(literal 2 binary64)))))
▶	57.8%	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
▶	57.9%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
▶	92.9%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (.f64 (.f64 t t) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 t t) #s(literal 1/8 binary64))))))
	93.7%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (.f64 t t) (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 t t) #s(literal 1/48 binary64))))))))))
	90.6%	(.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))))
	94.1%	(.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 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))))))))
	93.3%	(.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 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))))))))
	65.8%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 t t))) (-.f64 #s(literal 0 binary64) y)))
▶	90.4%	(.f64 (sqrt.f64 z) (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))))

Compiler

Compiled 782 to 532 computations (32% saved)

simplify267.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

3260×	`-lowering-.f32`
3260×	`-lowering-.f64`
2348×	`+-lowering-+.f64`
2348×	`+-lowering-+.f32`
1614×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	270
1	96	264
2	343	260
3	1709	258
0	8327	258

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize200.0ms (0.5%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f64 #s(literal 1/2 binary64) (.f64 t t))
✓	accuracy	99.3%	(.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))
✓	accuracy	98.8%	(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
✓	accuracy	94.7%	(.f64 (sqrt.f64 z) (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))))
✓	accuracy	100.0%	(sqrt.f64 z)
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.7%	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
✓	accuracy	99.3%	(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	99.9%	(.f64 (.f64 (.f64 t t) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))))
✓	accuracy	99.7%	(.f64 (.f64 t t) #s(literal 1/8 binary64))
✓	accuracy	99.0%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (.f64 (.f64 t t) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 t t) #s(literal 1/8 binary64))))))
✓	accuracy	93.4%	(.f64 (.f64 t t) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
✓	accuracy	100.0%	(*.f64 z #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) x)
✓	accuracy	100.0%	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓	accuracy	99.7%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
✓	accuracy	100.0%	(sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (*.f64 z #s(literal 2 binary64))))
✓	accuracy	100.0%	(exp.f64 (*.f64 t t))
✓	accuracy	100.0%	(.f64 (exp.f64 (.f64 t t)) (*.f64 z #s(literal 2 binary64)))
✓	accuracy	99.8%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (*.f64 z #s(literal 2 binary64)))))

Results

138.0ms

256×

valid

Compiler

Compiled 315 to 36 computations (88.6% saved)

Precisions

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

ival-mult: 28.0ms (63.8% of total)

ival-sqrt: 7.0ms (15.9% of total)

ival-add: 4.0ms (9.1% of total)

ival-sub: 3.0ms (6.8% of total)

ival-exp: 2.0ms (4.6% of total)

const: 1.0ms (2.3% of total)

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

series88.0ms (0.2%)

Counts

25 → 600

Calls

Call 1

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

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

Calls

150 calls:

Time	Variable		Point	Expression
19.0ms	x	@	-inf	(* (sqrt (* z 2)) (+ (- (* 1/2 x) y) (* (* (* t t) (- (* 1/2 x) y)) (+ 1/2 (* (* t t) 1/8)))))
7.0ms	z	@	0	(* (exp (* t t)) (* z 2))
7.0ms	z	@	-inf	(* (exp (* t t)) (* z 2))
7.0ms	z	@	-inf	(* (sqrt z) (* (+ (* 1/2 (* t t)) 1) (* (sqrt 2) (- (* 1/2 x) y))))
3.0ms	t	@	0	(* (- (* x 1/2) y) (sqrt (* (exp (* t t)) (* z 2))))

rewrite433.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3432×	`-lowering-.f32`
3432×	`-lowering-.f64`
2934×	`/-lowering-/.f32`
2934×	`/-lowering-/.f64`
2286×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	191
1	165	185
2	1276	185
0	8445	185

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 698

Calls

Call 1

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

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

simplify341.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

6868×	`-lowering-.f32`
6868×	`-lowering-.f64`
2296×	`+-lowering-+.f64`
2296×	`+-lowering-+.f32`
1572×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	458	9871
1	1704	7956
2	6812	7949
0	8377	7949

Stop Event

1×	iter limit
1×	node limit

Counts

600 → 600

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

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

eval284.0ms (0.7%)

Compiler: Compiled 62949 to 3251 computations (94.8% saved)

prune302.0ms (0.7%)

Pruning

34 alts after pruning (33 fresh and 1 done)

	Pruned	Kept	Total
New	1661	28	1689
Fresh	5	5	10
Picked	4	1	5
Done	0	0	0
Total	1670	34	1704

Accuracy

100.0%

Counts

1704 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.3%	(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 y (.f64 x #s(literal 1/2 binary64))))
	26.9%	(/.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 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y (+.f64 y (*.f64 x #s(literal 1/2 binary64))))))
	57.9%	(/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
	57.3%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (.f64 x #s(literal 1/2 binary64))) (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))))
	57.7%	(.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))
	49.3%	(.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))
	90.7%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (+.f64 (.f64 #s(literal 2 binary64) z) (.f64 (.f64 t t) (.f64 z (+.f64 #s(literal 2 binary64) (*.f64 t t)))))))
	84.4%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 (+.f64 (.f64 t t) #s(literal 1 binary64)) (*.f64 z #s(literal 2 binary64)))))
	93.0%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/6 binary64)))))))) (.f64 z #s(literal 2 binary64)))))
	57.6%	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (*.f64 (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
	65.8%	(.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 z #s(literal 2 binary64)))))
	92.9%	(.f64 (+.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 t (.f64 (.f64 t (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64)))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
	87.3%	(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)) #s(literal 1 binary64)) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
	30.9%	(.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (sqrt.f64 z)))
	24.1%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (.f64 t t)))) (.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y (+.f64 y (.f64 x #s(literal 1/2 binary64))))) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 t t) (.f64 t t)))) (.f64 t (.f64 t (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))))) (.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y (+.f64 y (.f64 x #s(literal 1/2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (.f64 t t))))))
	57.8%	(.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))))
	89.5%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 t (.f64 t (-.f64 (.f64 #s(literal 1/2 binary64) x) y))))) y))
✓	57.9%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
	59.2%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (.f64 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))))))))
	31.0%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) y))
	82.8%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 t t))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))))))
	89.2%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (.f64 (.f64 (.f64 t t) (+.f64 #s(literal -1/2 binary64) (/.f64 y x))) (neg.f64 x)) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 t t) #s(literal 1/8 binary64))))))
	93.7%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (.f64 t t) (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 t t) #s(literal 1/48 binary64))))))))))
▶	76.1%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 y (-.f64 (/.f64 (.f64 (.f64 t t) (.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64)))))) y) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))))))))
	74.8%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 x (-.f64 (.f64 (.f64 t t) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))))) (.f64 t (.f64 t (/.f64 (.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64)))) x)))))))
▶	90.6%	(.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))))
▶	94.1%	(.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 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))))))))
▶	93.3%	(.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 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))))))))
	65.8%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 t t))) (-.f64 #s(literal 0 binary64) y)))
	59.4%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) y))))
	60.9%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))
	56.4%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))))))))
▶	30.5%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) x))
	74.9%	(.f64 (sqrt.f64 z) (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)) #s(literal 1 binary64)) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y (.f64 x #s(literal 1/2 binary64)))))))

Compiler

Compiled 1812 to 1183 computations (34.7% saved)

simplify232.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	512	(-.f64 (/.f64 (.f64 (.f64 t t) (.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64)))))) y) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64)))))
✓	cost-diff	512	(.f64 y (-.f64 (/.f64 (.f64 (.f64 t t) (.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64)))))) y) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 t t) #s(literal 1/8 binary64))))))
✓	cost-diff	512	(+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 y (-.f64 (/.f64 (.f64 (.f64 t t) (.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64)))))) y) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64)))))))
✓	cost-diff	512	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 y (-.f64 (/.f64 (.f64 (.f64 t t) (.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64)))))) y) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))))))))
✓	cost-diff	0	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 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 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))))))))
✓	cost-diff	0	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)) #s(literal 1 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 (.f64 #s(literal 1/2 binary64) (.f64 t t)) #s(literal 1 binary64))))
✓	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 (-.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)))))))))
✓	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 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))))))))

Rules

3874×	`+-lowering-+.f64`
3874×	`+-lowering-+.f32`
3242×	`-lowering-.f32`
3242×	`-lowering-.f64`
1960×	`sum4-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	527
1	166	474
2	670	470
3	3169	462
0	8438	462

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

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

localize385.0ms (0.9%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	94.8%	(.f64 y (-.f64 (/.f64 (.f64 (.f64 t t) (.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64)))))) y) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 t t) #s(literal 1/8 binary64))))))
✓	accuracy	94.1%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 t t) #s(literal 1/8 binary64))))
✓	accuracy	90.3%	(/.f64 (.f64 (.f64 t t) (.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64)))))) y)
✓	accuracy	86.5%	(-.f64 (/.f64 (.f64 (.f64 t t) (.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64)))))) y) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64)))))
✓	accuracy	99.9%	(.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64)))))
✓	accuracy	99.7%	(.f64 (.f64 t t) #s(literal 1/8 binary64))
✓	accuracy	99.6%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64)))))))
✓	accuracy	99.0%	(.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 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))))))))
✓	accuracy	100.0%	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓	accuracy	99.7%	(.f64 #s(literal 1/2 binary64) (.f64 t t))
✓	accuracy	98.8%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)) #s(literal 1 binary64)))
✓	accuracy	94.7%	(.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))))
✓	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 #s(literal 1/2 binary64) x))
✓	accuracy	99.9%	(.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 t t) #s(literal 1/48 binary64))))
✓	accuracy	99.6%	(.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 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))))))))
✓	accuracy	99.4%	(.f64 (.f64 t t) #s(literal 1/48 binary64))
✓	accuracy	98.8%	(.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 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))))))))

Results

170.0ms	255×	0	valid
2.0ms	1×	2	valid

Compiler

Compiled 611 to 47 computations (92.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

ival-mult: 50.0ms (53% of total)

ival-sub: 25.0ms (26.5% of total)

ival-add: 9.0ms (9.5% of total)

...c/correct-round.rkt:119:19: 5.0ms (5.3% of total)

ival-div: 2.0ms (2.1% of total)

ival-sqrt: 2.0ms (2.1% of total)

const: 1.0ms (1.1% of total)

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

series103.0ms (0.2%)

Counts

21 → 588

Calls

Call 1

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

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

Calls

147 calls:

Time	Variable		Point	Expression
26.0ms	y	@	0	(* (sqrt (* z 2)) (* (- (* x 1/2) y) (+ 1 (* (* t t) (+ 1/2 (* t (* t (+ 1/8 (* (* t t) 1/48)))))))))
14.0ms	y	@	0	(* (sqrt (* z 2)) (+ (- (* 1/2 x) y) (* y (- (/ (* (* t t) (* 1/2 (* x (+ 1/2 (* (* t t) 1/8))))) y) (* (* t t) (+ 1/2 (* (* t t) 1/8)))))))
4.0ms	t	@	inf	(* (sqrt (* z 2)) (+ (- (* 1/2 x) y) (* y (- (/ (* (* t t) (* 1/2 (* x (+ 1/2 (* (* t t) 1/8))))) y) (* (* t t) (+ 1/2 (* (* t t) 1/8)))))))
3.0ms	x	@	0	(* (sqrt (* z 2)) (+ (- (* 1/2 x) y) (* y (- (/ (* (* t t) (* 1/2 (* x (+ 1/2 (* (* t t) 1/8))))) y) (* (* t t) (+ 1/2 (* (* t t) 1/8)))))))
2.0ms	z	@	0	(* (sqrt (* z 2)) (+ (- (* 1/2 x) y) (* y (- (/ (* (* t t) (* 1/2 (* x (+ 1/2 (* (* t t) 1/8))))) y) (* (* t t) (+ 1/2 (* (* t t) 1/8)))))))

rewrite841.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

5034×	`-lowering-.f32`
5034×	`-lowering-.f64`
2466×	`/-lowering-/.f32`
2466×	`/-lowering-/.f64`
2116×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	300
1	305	264
2	2856	260
0	8689	260

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 729

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

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

simplify498.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

7864×	`-lowering-.f32`
7864×	`-lowering-.f64`
3240×	`+-lowering-+.f64`
3240×	`+-lowering-+.f32`
1670×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	532	13840
1	2042	11122
0	8414	11122

Stop Event

1×	iter limit
1×	node limit

Counts

588 → 588

Calls

Call 1

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

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

eval272.0ms (0.7%)

Compiler: Compiled 88451 to 3795 computations (95.7% saved)

prune217.0ms (0.5%)

Pruning

38 alts after pruning (35 fresh and 3 done)

	Pruned	Kept	Total
New	1486	17	1503
Fresh	10	18	28
Picked	3	2	5
Done	0	1	1
Total	1499	38	1537

Accuracy

100.0%

Counts

1537 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.3%	(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 y (.f64 x #s(literal 1/2 binary64))))
	26.9%	(/.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 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y (+.f64 y (*.f64 x #s(literal 1/2 binary64))))))
	57.9%	(/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
	57.3%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (.f64 x #s(literal 1/2 binary64))) (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))))
	57.7%	(.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))
	49.3%	(.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))
	68.3%	(.f64 (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 z #s(literal 2 binary64))) #s(literal 1/4 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 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))))))))
	29.0%	(.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))
	90.7%	(.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)))))))
	93.0%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/6 binary64)))))))) (.f64 z #s(literal 2 binary64)))))
	65.8%	(.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 z #s(literal 2 binary64)))))
▶	87.3%	(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)) #s(literal 1 binary64)) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
	30.9%	(.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (sqrt.f64 z)))
	57.6%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (-.f64 #s(literal 1 binary64) (.f64 (.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 (.f64 t t) #s(literal 1/48 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))))))) (-.f64 #s(literal 1 binary64) (.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)))))))))
	25.3%	(.f64 (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))) (-.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 (.f64 t t) #s(literal 1/48 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))))))) (.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y (+.f64 y (.f64 x #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))))))))
	39.4%	(.f64 (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))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t #s(literal 1/8 binary64))))))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y (+.f64 y (.f64 x #s(literal 1/2 binary64)))))))
✓	57.9%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
	60.1%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 t t) #s(literal 1/48 binary64))))))))) y)))
	59.2%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (.f64 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))))))))
▶	31.0%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) y))
▶	82.8%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 t t))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))))))
	80.3%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 y (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))) (/.f64 (.f64 t t) y))))))
▶	93.7%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (.f64 (.f64 t t) (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 (.f64 t t) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
▶	94.1%	(.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 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t #s(literal 1/48 binary64)) t)))))))))
	94.0%	(.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 t (.f64 t (.f64 (.f64 t t) #s(literal 1/48 binary64)))))))))
✓	93.3%	(.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 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))))))))
	44.3%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (.f64 t t) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))))
	65.8%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 t t))) (-.f64 #s(literal 0 binary64) y)))
	59.2%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 y (-.f64 #s(literal -1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 t t) #s(literal 1/8 binary64))))))))
	55.8%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 y (+.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 t t)))))
	71.7%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.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) #s(literal 1/2 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 t t) #s(literal 1/48 binary64))))))))) (/.f64 y x)))))
	74.7%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))))) (.f64 y (/.f64 (+.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)))))
	74.8%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/4 binary64))) (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) #s(literal 1/2 binary64)))) x))))
	60.9%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))
	56.4%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))))))))
	51.6%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 t t) #s(literal 1/4 binary64)))))
✓	30.5%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) x))
	74.9%	(.f64 (sqrt.f64 z) (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)) #s(literal 1 binary64)) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y (.f64 x #s(literal 1/2 binary64)))))))

Compiler

Compiled 2198 to 1379 computations (37.3% saved)

simplify220.0ms (0.5%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	384	(+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 (.f64 t t) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))))
✓	cost-diff	384	(.f64 (.f64 t t) (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 (.f64 t t) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))))))
✓	cost-diff	640	(+.f64 (.f64 (.f64 t t) (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 (.f64 t t) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
✓	cost-diff	640	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (.f64 (.f64 t t) (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 (.f64 t t) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
✓	cost-diff	0	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓	cost-diff	128	(.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 t t))) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 t t) #s(literal 1/8 binary64))))
✓	cost-diff	128	(+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 t t))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64)))))
✓	cost-diff	128	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 t t))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))))))
✓	cost-diff	0	(*.f64 t t)
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 t t))
✓	cost-diff	0	(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)) #s(literal 1 binary64))
✓	cost-diff	0	(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)) #s(literal 1 binary64)) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) y)
✓	cost-diff	0	(*.f64 z #s(literal 2 binary64))
✓	cost-diff	0	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓	cost-diff	0	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) y))
✓	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 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t #s(literal 1/48 binary64)) t))))))))
✓	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 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t #s(literal 1/48 binary64)) t)))))))))

Rules

3520×	`-lowering-.f32`
3520×	`-lowering-.f64`
3230×	`+-lowering-+.f64`
3230×	`+-lowering-+.f32`
1988×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	468
1	182	435
2	717	423
3	3679	422
0	8234	422

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 1/48) t)))))))))
(sqrt (* z 2))
(* z 2)
z
2
(* (- (* x 1/2) y) (+ 1 (* (* t t) (+ 1/2 (* t (* t (+ 1/8 (* (* t 1/48) t))))))))
(- (* x 1/2) y)
(* x 1/2)
x
1/2
y
(+ 1 (* (* t t) (+ 1/2 (* t (* t (+ 1/8 (* (* t 1/48) t)))))))
1
(* (* t t) (+ 1/2 (* t (* t (+ 1/8 (* (* t 1/48) t))))))
(* t t)
t
(+ 1/2 (* t (* t (+ 1/8 (* (* t 1/48) t)))))
(* t (* t (+ 1/8 (* (* t 1/48) t))))
(* t (+ 1/8 (* (* t 1/48) t)))
(+ 1/8 (* (* t 1/48) t))
1/8
(* (* t 1/48) t)
(* t 1/48)
1/48
(* (sqrt (* z 2)) (- 0 y))
(sqrt (* z 2))
(* z 2)
z
2
(- 0 y)
0
y
(* (+ (* 1/2 (* t t)) 1) (* (sqrt (* z 2)) (- (* x 1/2) y)))
(+ (* 1/2 (* t t)) 1)
(* 1/2 (* t t))
1/2
(* t t)
t
1
(* (sqrt (* z 2)) (- (* x 1/2) y))
(sqrt (* z 2))
(* z 2)
z
2
(- (* x 1/2) y)
(* x 1/2)
x
y
(* (sqrt (* z 2)) (+ (- (* 1/2 x) y) (* (- 0 (* y (* t t))) (+ 1/2 (* (* t t) 1/8)))))
(sqrt (* z 2))
(* z 2)
z
2
(+ (- (* 1/2 x) y) (* (- 0 (* y (* t t))) (+ 1/2 (* (* t t) 1/8))))
(- (* 1/2 x) y)
(* 1/2 x)
1/2
x
y
(* (- 0 (* y (* t t))) (+ 1/2 (* (* t t) 1/8)))
(- 0 (* y (* t t)))
0
(* y (* t t))
(* t t)
t
(+ 1/2 (* (* t t) 1/8))
(* (* t t) 1/8)
1/8
(* (sqrt (* z 2)) (+ (* (* t t) (+ (* 1/2 (- (* 1/2 x) y)) (* (* t t) (* (- (* 1/2 x) y) (+ 1/8 (* (* t t) 1/48)))))) (- (* 1/2 x) y)))
(sqrt (* z 2))
(* z 2)
z
2
(+ (* (* t t) (+ (* 1/2 (- (* 1/2 x) y)) (* (* t t) (* (- (* 1/2 x) y) (+ 1/8 (* (* t t) 1/48)))))) (- (* 1/2 x) y))
(* (* t t) (+ (* 1/2 (- (* 1/2 x) y)) (* (* t t) (* (- (* 1/2 x) y) (+ 1/8 (* (* t t) 1/48))))))
(* t t)
t
(+ (* 1/2 (- (* 1/2 x) y)) (* (* t t) (* (- (* 1/2 x) y) (+ 1/8 (* (* t t) 1/48)))))
(* 1/2 (- (* 1/2 x) y))
1/2
(- (* 1/2 x) y)
(* 1/2 x)
x
y
(* (* t t) (* (- (* 1/2 x) y) (+ 1/8 (* (* t t) 1/48))))
(* (- (* 1/2 x) y) (+ 1/8 (* (* t t) 1/48)))
(+ 1/8 (* (* t t) 1/48))
1/8
(* (* t t) 1/48)
1/48

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

localize300.0ms (0.7%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.8%	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))
✓	accuracy	98.8%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (.f64 (.f64 t t) (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 (.f64 t t) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
✓	accuracy	94.6%	(.f64 (.f64 t t) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))))
✓	accuracy	94.5%	(.f64 (.f64 t t) (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 (.f64 t t) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))))))
✓	accuracy	99.9%	(.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 t t))) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 t t) #s(literal 1/8 binary64))))
✓	accuracy	99.7%	(.f64 (.f64 t t) #s(literal 1/8 binary64))
✓	accuracy	97.2%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 t t))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))))))
✓	accuracy	92.2%	(.f64 y (.f64 t t))
✓	accuracy	100.0%	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓	accuracy	99.7%	(.f64 #s(literal 1/2 binary64) (.f64 t t))
✓	accuracy	99.7%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
✓	accuracy	96.3%	(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)) #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 0 binary64) y)
✓	accuracy	100.0%	(*.f64 z #s(literal 2 binary64))
✓	accuracy	100.0%	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓	accuracy	99.7%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) y))
✓	accuracy	99.8%	(.f64 (.f64 t #s(literal 1/48 binary64)) t)
✓	accuracy	99.6%	(.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 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t #s(literal 1/48 binary64)) t))))))))
✓	accuracy	99.5%	(*.f64 t #s(literal 1/48 binary64))
✓	accuracy	98.8%	(.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 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t #s(literal 1/48 binary64)) t)))))))))

Results

206.0ms

256×

valid

Compiler

Compiled 574 to 50 computations (91.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-mult: 45.0ms (59.8% of total)

ival-add: 17.0ms (22.6% of total)

ival-sub: 5.0ms (6.6% of total)

...c/correct-round.rkt:119:19: 4.0ms (5.3% of total)

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

const: 1.0ms (1.3% of total)

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

series63.0ms (0.2%)

Counts

24 → 660

Calls

Call 1

Inputs
#<alt (* (sqrt (* z 2)) (* (- (* x 1/2) y) (+ 1 (* (* t t) (+ 1/2 (* t (* t (+ 1/8 (* (* t 1/48) t)))))))))>
#<alt (sqrt (* z 2))>
#<alt (* z 2)>
#<alt (* (- (* x 1/2) y) (+ 1 (* (* t t) (+ 1/2 (* t (* t (+ 1/8 (* (* t 1/48) t))))))))>
#<alt (* (sqrt (* z 2)) (- 0 y))>
#<alt (- 0 y)>
#<alt (* (+ (* 1/2 (* t t)) 1) (* (sqrt (* z 2)) (- (* x 1/2) y)))>
#<alt (+ (* 1/2 (* t t)) 1)>
#<alt (* 1/2 (* t t))>
#<alt (* t t)>
#<alt (* (sqrt (* z 2)) (+ (- (* 1/2 x) y) (* (- 0 (* y (* t t))) (+ 1/2 (* (* t t) 1/8)))))>
#<alt (+ (- (* 1/2 x) y) (* (- 0 (* y (* t t))) (+ 1/2 (* (* t t) 1/8))))>
#<alt (* (- 0 (* y (* t t))) (+ 1/2 (* (* t t) 1/8)))>
#<alt (* (sqrt (* z 2)) (+ (* (* t t) (+ (* 1/2 (- (* 1/2 x) y)) (* (* t t) (* (- (* 1/2 x) y) (+ 1/8 (* (* t t) 1/48)))))) (- (* 1/2 x) y)))>
#<alt (+ (* (* t t) (+ (* 1/2 (- (* 1/2 x) y)) (* (* t t) (* (- (* 1/2 x) y) (+ 1/8 (* (* t t) 1/48)))))) (- (* 1/2 x) y))>
#<alt (* (* t t) (+ (* 1/2 (- (* 1/2 x) y)) (* (* t t) (* (- (* 1/2 x) y) (+ 1/8 (* (* t t) 1/48))))))>
#<alt (+ (* 1/2 (- (* 1/2 x) y)) (* (* t t) (* (- (* 1/2 x) y) (+ 1/8 (* (* t t) 1/48)))))>
#<alt (* t 1/48)>
#<alt (* (* t 1/48) t)>
#<alt (* (sqrt (* z 2)) (- (* x 1/2) y))>
#<alt (* y (* t t))>
#<alt (* (* t t) 1/8)>
#<alt (* (* t t) (* (- (* 1/2 x) y) (+ 1/8 (* (* t t) 1/48))))>
#<alt (* (- (* 1/2 x) y) (+ 1/8 (* (* t t) 1/48)))>

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

Calls

165 calls:

Time	Variable		Point	Expression
10.0ms	y	@	0	(* (sqrt (* z 2)) (- 0 y))
3.0ms	z	@	0	(* (sqrt (* z 2)) (+ (* (* t t) (+ (* 1/2 (- (* 1/2 x) y)) (* (* t t) (* (- (* 1/2 x) y) (+ 1/8 (* (* t t) 1/48)))))) (- (* 1/2 x) y)))
2.0ms	y	@	0	(* (* t t) (+ (* 1/2 (- (* 1/2 x) y)) (* (* t t) (* (- (* 1/2 x) y) (+ 1/8 (* (* t t) 1/48))))))
2.0ms	t	@	0	(* (sqrt (* z 2)) (+ (* (* t t) (+ (* 1/2 (- (* 1/2 x) y)) (* (* t t) (* (- (* 1/2 x) y) (+ 1/8 (* (* t t) 1/48)))))) (- (* 1/2 x) y)))
2.0ms	x	@	-inf	(* (sqrt (* z 2)) (+ (* (* t t) (+ (* 1/2 (- (* 1/2 x) y)) (* (* t t) (* (- (* 1/2 x) y) (+ 1/8 (* (* t t) 1/48)))))) (- (* 1/2 x) y)))

rewrite556.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

6746×	`-lowering-.f32`
6746×	`-lowering-.f64`
3320×	`/-lowering-/.f32`
3320×	`/-lowering-/.f64`
2588×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	49	291
1	339	274
2	3177	272
0	11314	272

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 363

Calls

Call 1

Inputs
(* (sqrt (* z 2)) (* (- (* x 1/2) y) (+ 1 (* (* t t) (+ 1/2 (* t (* t (+ 1/8 (* (* t 1/48) t)))))))))
(sqrt (* z 2))
(* z 2)
(* (- (* x 1/2) y) (+ 1 (* (* t t) (+ 1/2 (* t (* t (+ 1/8 (* (* t 1/48) t))))))))
(* (sqrt (* z 2)) (- 0 y))
(- 0 y)
(* (+ (* 1/2 (* t t)) 1) (* (sqrt (* z 2)) (- (* x 1/2) y)))
(+ (* 1/2 (* t t)) 1)
(* 1/2 (* t t))
(* t t)
(* (sqrt (* z 2)) (+ (- (* 1/2 x) y) (* (- 0 (* y (* t t))) (+ 1/2 (* (* t t) 1/8)))))
(+ (- (* 1/2 x) y) (* (- 0 (* y (* t t))) (+ 1/2 (* (* t t) 1/8))))
(* (- 0 (* y (* t t))) (+ 1/2 (* (* t t) 1/8)))
(* (sqrt (* z 2)) (+ (* (* t t) (+ (* 1/2 (- (* 1/2 x) y)) (* (* t t) (* (- (* 1/2 x) y) (+ 1/8 (* (* t t) 1/48)))))) (- (* 1/2 x) y)))
(+ (* (* t t) (+ (* 1/2 (- (* 1/2 x) y)) (* (* t t) (* (- (* 1/2 x) y) (+ 1/8 (* (* t t) 1/48)))))) (- (* 1/2 x) y))
(* (* t t) (+ (* 1/2 (- (* 1/2 x) y)) (* (* t t) (* (- (* 1/2 x) y) (+ 1/8 (* (* t t) 1/48))))))
(+ (* 1/2 (- (* 1/2 x) y)) (* (* t t) (* (- (* 1/2 x) y) (+ 1/8 (* (* t t) 1/48)))))
(* t 1/48)
(* (* t 1/48) t)
(* (sqrt (* z 2)) (- (* x 1/2) y))
(* y (* t t))
(* (* t t) 1/8)
(* (* t t) (* (- (* 1/2 x) y) (+ 1/8 (* (* t t) 1/48))))
(* (- (* 1/2 x) y) (+ 1/8 (* (* t t) 1/48)))

Outputs
(+.f64 (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))) (.f64 (.f64 t t) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))))
(+.f64 (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))) (.f64 (.f64 t t) (-.f64 (.f64 x #s(literal 1/2 binary64)) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) #s(literal 1 binary64)) (.f64 (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (.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 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))))) (.f64 (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) #s(literal 1 binary64)))
(+.f64 (.f64 #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 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 x #s(literal 1/2 binary64)) y))))
(+.f64 (.f64 (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))))) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y))) (.f64 #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 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))))) (.f64 (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))))) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))))) (-.f64 (.f64 (.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)))))) #s(literal 1 binary64)))))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))))) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))))))) (-.f64 #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 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 x #s(literal 1/2 binary64)) 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 (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 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (+.f64 #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 #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))))))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) 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))))))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 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))))))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y))))
(.f64 (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))))))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y))
(.f64 (.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 x #s(literal 1/2 binary64)) y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (*.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))
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(/.f64 (+.f64 (.f64 #s(literal 1/512 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)))) (.f64 (.f64 (.f64 t (.f64 t t)) (.f64 (.f64 t (.f64 t t)) #s(literal 1/110592 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))))) (+.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (.f64 #s(literal 1/8 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y))) (-.f64 (.f64 (.f64 (.f64 (.f64 t t) #s(literal 1/48 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (.f64 (.f64 (.f64 t t) #s(literal 1/48 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) y))) (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (.f64 (.f64 (.f64 t t) #s(literal 1/48 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (.f64 #s(literal 1/8 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y))) (.f64 (.f64 (.f64 (.f64 t t) #s(literal 1/48 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (.f64 (.f64 (.f64 t t) #s(literal 1/48 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))) (-.f64 (.f64 #s(literal 1/8 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (.f64 (.f64 (.f64 t t) #s(literal 1/48 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) y))))
(/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))) (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y)))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y (+.f64 y (.f64 x #s(literal 1/2 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y))) (+.f64 y (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 #s(literal 1/512 binary64) (.f64 (.f64 t (.f64 t t)) (.f64 (.f64 t (.f64 t t)) #s(literal 1/110592 binary64))))) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 t t) #s(literal 1/48 binary64)) (-.f64 (.f64 (*.f64 t t) #s(literal 1/48 binary64)) #s(literal 1/8 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 t t) (.f64 t t)) #s(literal 1/2304 binary64)))) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/48 binary64) (.f64 t t))))
(/.f64 (.f64 (+.f64 #s(literal 1/512 binary64) (.f64 (.f64 t (.f64 t t)) (.f64 (.f64 t (.f64 t t)) #s(literal 1/110592 binary64)))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 t t) #s(literal 1/48 binary64)) (-.f64 (.f64 (*.f64 t t) #s(literal 1/48 binary64)) #s(literal 1/8 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 t t) (.f64 t t)) #s(literal 1/2304 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/48 binary64) (.f64 t t))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y (+.f64 y (.f64 x #s(literal 1/2 binary64))))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))) (+.f64 y (*.f64 x #s(literal 1/2 binary64))))
(.f64 (+.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 x #s(literal 1/2 binary64)) y) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))

simplify443.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

8022×	`-lowering-.f32`
8022×	`-lowering-.f64`
3728×	`+-lowering-+.f64`
3728×	`+-lowering-+.f32`
1650×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	560	15053
1	2136	11938
0	8677	11938

Stop Event

1×	iter limit
1×	node limit

Counts

660 → 660

Calls

Call 1

Inputs
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y))))
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y))))
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y))))
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y))))
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y))))
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y))))
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y))))
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y))))))
(* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z)))
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))))
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))))
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))))
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))))))
(* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))))))
(* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))))))
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))) (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))) (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))) (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) x) (sqrt z)))))
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z)))
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))))
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))))
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))))
(* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z)))
(* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))) (* 1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))) (* 1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))) (* 1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) y) (sqrt z)))))
(* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z)))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) y) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) y) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) y) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 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))))))
(* (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 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))
(+ (* -1 (* y (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (* 1/2 (* x (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))))
(+ (* -1 (* y (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (* 1/2 (* x (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))))
(+ (* -1 (* y (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (* 1/2 (* x (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))))
(* 1/2 (* x (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))
(* x (+ (* -1 (/ (* y (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))) x)) (* 1/2 (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))))
(* x (+ (* -1 (/ (* y (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))) x)) (* 1/2 (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))))
(* x (+ (* -1 (/ (* y (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))) x)) (* 1/2 (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))))
(* 1/2 (* x (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))
(* -1 (* x (+ (* -1/2 (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))) (/ (* y (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))) x))))
(* -1 (* x (+ (* -1/2 (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))) (/ (* y (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))) x))))
(* -1 (* x (+ (* -1/2 (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))) (/ (* y (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))) x))))
(* 1/2 (* x (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))
(+ (* -1 (* y (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (* 1/2 (* x (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))))
(+ (* -1 (* y (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (* 1/2 (* x (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))))
(+ (* -1 (* y (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (* 1/2 (* x (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))))
(* -1 (* y (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))
(* y (+ (* -1 (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))) (* 1/2 (/ (* x (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))) y))))
(* y (+ (* -1 (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))) (* 1/2 (/ (* x (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))) y))))
(* y (+ (* -1 (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))) (* 1/2 (/ (* x (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))) y))))
(* -1 (* y (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))
(* -1 (* y (+ 1 (+ (* -1/2 (/ (* x (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))) y)) (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))))
(* -1 (* y (+ 1 (+ (* -1/2 (/ (* x (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))) y)) (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))))
(* -1 (* y (+ 1 (+ (* -1/2 (/ (* x (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))) y)) (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))))
(- (* 1/2 x) y)
(- (+ (* 1/2 x) (* 1/2 (* (pow t 2) (- (* 1/2 x) y)))) y)
(- (+ (* 1/2 x) (* (pow t 2) (+ (* 1/8 (* (pow t 2) (- (* 1/2 x) y))) (* 1/2 (- (* 1/2 x) y))))) y)
(- (+ (* 1/2 x) (* (pow t 2) (+ (* 1/2 (- (* 1/2 x) y)) (* (pow t 2) (+ (* 1/48 (* (pow t 2) (- (* 1/2 x) y))) (* 1/8 (- (* 1/2 x) y))))))) y)
(* 1/48 (* (pow t 6) (- (* 1/2 x) y)))
(* (pow t 6) (+ (* 1/48 (- (* 1/2 x) y)) (* 1/8 (/ (- (* 1/2 x) y) (pow t 2)))))
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Outputs
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (.f64 (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))))))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))))
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (.f64 (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))))))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))))
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (.f64 (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))))))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))))
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y))))
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(.f64 x (+.f64 #s(literal 1/16 binary64) (.f64 (*.f64 t t) #s(literal 1/96 binary64))))
(* -1 (* x (+ (* -1/2 (+ 1/8 (* 1/48 (pow t 2)))) (/ (* y (+ 1/8 (* 1/48 (pow t 2)))) x))))
(.f64 (+.f64 (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))) y) x) (+.f64 #s(literal -1/16 binary64) (.f64 #s(literal -1/96 binary64) (.f64 t t)))) (neg.f64 x))
(* -1 (* x (+ (* -1/2 (+ 1/8 (* 1/48 (pow t 2)))) (/ (* y (+ 1/8 (* 1/48 (pow t 2)))) x))))
(.f64 (+.f64 (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))) y) x) (+.f64 #s(literal -1/16 binary64) (.f64 #s(literal -1/96 binary64) (.f64 t t)))) (neg.f64 x))
(* -1 (* x (+ (* -1/2 (+ 1/8 (* 1/48 (pow t 2)))) (/ (* y (+ 1/8 (* 1/48 (pow t 2)))) x))))
(.f64 (+.f64 (/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))) y) x) (+.f64 #s(literal -1/16 binary64) (.f64 #s(literal -1/96 binary64) (.f64 t t)))) (neg.f64 x))
(* 1/2 (* x (+ 1/8 (* 1/48 (pow t 2)))))
(.f64 x (+.f64 #s(literal 1/16 binary64) (.f64 (*.f64 t t) #s(literal 1/96 binary64))))
(+ (* -1 (* y (+ 1/8 (* 1/48 (pow t 2))))) (* 1/2 (* x (+ 1/8 (* 1/48 (pow t 2))))))
(.f64 (+.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 (+ 1/8 (* 1/48 (pow t 2))))) (* 1/2 (* x (+ 1/8 (* 1/48 (pow t 2))))))
(.f64 (+.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 (+ 1/8 (* 1/48 (pow t 2))))) (* 1/2 (* x (+ 1/8 (* 1/48 (pow t 2))))))
(.f64 (+.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 (+ 1/8 (* 1/48 (pow t 2)))))
(.f64 y (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 t t))))
(* y (+ (* -1 (+ 1/8 (* 1/48 (pow t 2)))) (* 1/2 (/ (* x (+ 1/8 (* 1/48 (pow t 2)))) y))))
(.f64 y (-.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 t t) #s(literal 1/96 binary64)))) y) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))))
(* y (+ (* -1 (+ 1/8 (* 1/48 (pow t 2)))) (* 1/2 (/ (* x (+ 1/8 (* 1/48 (pow t 2)))) y))))
(.f64 y (-.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 t t) #s(literal 1/96 binary64)))) y) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))))
(* y (+ (* -1 (+ 1/8 (* 1/48 (pow t 2)))) (* 1/2 (/ (* x (+ 1/8 (* 1/48 (pow t 2)))) y))))
(.f64 y (-.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 t t) #s(literal 1/96 binary64)))) y) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64)))))
(* -1 (* y (+ 1/8 (* 1/48 (pow t 2)))))
(.f64 y (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 t t))))
(* -1 (* y (+ 1/8 (+ (* -1/2 (/ (* x (+ 1/8 (* 1/48 (pow t 2)))) y)) (* 1/48 (pow t 2))))))
(.f64 (+.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))) (/.f64 (.f64 (+.f64 #s(literal -1/16 binary64) (.f64 #s(literal -1/96 binary64) (.f64 t t))) x) y)) (-.f64 #s(literal 0 binary64) y))
(* -1 (* y (+ 1/8 (+ (* -1/2 (/ (* x (+ 1/8 (* 1/48 (pow t 2)))) y)) (* 1/48 (pow t 2))))))
(.f64 (+.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))) (/.f64 (.f64 (+.f64 #s(literal -1/16 binary64) (.f64 #s(literal -1/96 binary64) (.f64 t t))) x) y)) (-.f64 #s(literal 0 binary64) y))
(* -1 (* y (+ 1/8 (+ (* -1/2 (/ (* x (+ 1/8 (* 1/48 (pow t 2)))) y)) (* 1/48 (pow t 2))))))
(.f64 (+.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))) (/.f64 (.f64 (+.f64 #s(literal -1/16 binary64) (.f64 #s(literal -1/96 binary64) (.f64 t t))) x) y)) (-.f64 #s(literal 0 binary64) y))
(* 1/8 (- (* 1/2 x) y))
(.f64 #s(literal 1/8 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))
(+ (* 1/48 (* (pow t 2) (- (* 1/2 x) y))) (* 1/8 (- (* 1/2 x) y)))
(.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))
(+ (* 1/48 (* (pow t 2) (- (* 1/2 x) y))) (* 1/8 (- (* 1/2 x) y)))
(.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))
(+ (* 1/48 (* (pow t 2) (- (* 1/2 x) y))) (* 1/8 (- (* 1/2 x) y)))
(.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))
(* 1/48 (* (pow t 2) (- (* 1/2 x) y)))
(.f64 t (.f64 t (.f64 #s(literal 1/48 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))))
(* (pow t 2) (+ (* 1/48 (- (* 1/2 x) y)) (* 1/8 (/ (- (* 1/2 x) y) (pow t 2)))))
(.f64 (.f64 t t) (+.f64 (.f64 #s(literal 1/48 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (/.f64 (.f64 #s(literal 1/8 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (*.f64 t t))))
(* (pow t 2) (+ (* 1/48 (- (* 1/2 x) y)) (* 1/8 (/ (- (* 1/2 x) y) (pow t 2)))))
(.f64 (.f64 t t) (+.f64 (.f64 #s(literal 1/48 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (/.f64 (.f64 #s(literal 1/8 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (*.f64 t t))))
(* (pow t 2) (+ (* 1/48 (- (* 1/2 x) y)) (* 1/8 (/ (- (* 1/2 x) y) (pow t 2)))))
(.f64 (.f64 t t) (+.f64 (.f64 #s(literal 1/48 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (/.f64 (.f64 #s(literal 1/8 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (*.f64 t t))))
(* 1/48 (* (pow t 2) (- (* 1/2 x) y)))
(.f64 t (.f64 t (.f64 #s(literal 1/48 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))))
(* (pow t 2) (+ (* 1/48 (- (* 1/2 x) y)) (* 1/8 (/ (- (* 1/2 x) y) (pow t 2)))))
(.f64 (.f64 t t) (+.f64 (.f64 #s(literal 1/48 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (/.f64 (.f64 #s(literal 1/8 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (*.f64 t t))))
(* (pow t 2) (+ (* 1/48 (- (* 1/2 x) y)) (* 1/8 (/ (- (* 1/2 x) y) (pow t 2)))))
(.f64 (.f64 t t) (+.f64 (.f64 #s(literal 1/48 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (/.f64 (.f64 #s(literal 1/8 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (*.f64 t t))))
(* (pow t 2) (+ (* 1/48 (- (* 1/2 x) y)) (* 1/8 (/ (- (* 1/2 x) y) (pow t 2)))))
(.f64 (.f64 t t) (+.f64 (.f64 #s(literal 1/48 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (/.f64 (.f64 #s(literal 1/8 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (*.f64 t t))))

eval249.0ms (0.6%)

Compiler: Compiled 48758 to 2340 computations (95.2% saved)

prune172.0ms (0.4%)

Pruning

41 alts after pruning (38 fresh and 3 done)

	Pruned	Kept	Total
New	1256	15	1271
Fresh	7	23	30
Picked	5	0	5
Done	0	3	3
Total	1268	41	1309

Accuracy

100.0%

Counts

1309 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.3%	(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 y (.f64 x #s(literal 1/2 binary64))))
	26.9%	(/.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 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y (+.f64 y (*.f64 x #s(literal 1/2 binary64))))))
	37.4%	(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) y)
	57.9%	(/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
	57.3%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (.f64 x #s(literal 1/2 binary64))) (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))))
	30.9%	(.f64 (pow.f64 (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) y))
	49.3%	(.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))
	30.5%	(.f64 (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) y))
	68.3%	(.f64 (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 z #s(literal 2 binary64))) #s(literal 1/4 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 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))))))))
	29.0%	(.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))
	90.7%	(.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)))))))
	93.0%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/6 binary64)))))))) (.f64 z #s(literal 2 binary64)))))
	65.8%	(.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 z #s(literal 2 binary64)))))
	43.2%	(.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
	30.9%	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) y) (*.f64 #s(literal -1 binary64) (sqrt.f64 z)))
	39.4%	(.f64 (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))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t #s(literal 1/8 binary64))))))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y (+.f64 y (.f64 x #s(literal 1/2 binary64)))))))
	82.8%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 t (.f64 t (.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))))))) y))
✓	57.9%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
	59.2%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (.f64 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))))))))
	9.3%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 t t) (.f64 t t)))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (.f64 (.f64 t t) (.f64 (.f64 t t) (.f64 t t))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (.f64 t t))) (.f64 y (.f64 (.f64 t t) (.f64 y (.f64 t t))))))))
	80.3%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 y (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))) (/.f64 (.f64 t t) y))))))
	80.5%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 y (.f64 #s(literal -1/2 binary64) (.f64 t t)))))
	83.6%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (.f64 (.f64 (.f64 t t) y) (+.f64 (.f64 (.f64 t t) (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal -1/48 binary64) (.f64 t t)))) #s(literal -1/2 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))
	83.6%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (.f64 (.f64 t t) (.f64 y (+.f64 (.f64 (.f64 t t) (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal -1/48 binary64) (.f64 t t)))) #s(literal -1/2 binary64)))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))
	94.0%	(.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 t (.f64 t (.f64 (.f64 t t) #s(literal 1/48 binary64)))))))))
✓	93.3%	(.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 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))))))))
	65.8%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 t t))) (-.f64 #s(literal 0 binary64) y)))
	59.2%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 y (-.f64 #s(literal -1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 t t) #s(literal 1/8 binary64))))))))
	60.1%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 y (+.f64 (.f64 t (.f64 t (+.f64 (.f64 (.f64 t t) (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 t t)))) #s(literal -1/2 binary64)))) #s(literal -1 binary64))))
	55.8%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 y (+.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 t t)))))
	74.7%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))))) (.f64 y (/.f64 (+.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)))))
	74.8%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/4 binary64))) (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) #s(literal 1/2 binary64)))) x))))
	60.9%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))
	73.1%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 (.f64 t t) (+.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 t t) #s(literal 1/96 binary64))))) (/.f64 (.f64 y (+.f64 (.f64 (.f64 t t) (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal -1/48 binary64) (.f64 t t)))) #s(literal -1/2 binary64))) x))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
	80.6%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (+.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))))
	56.4%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))))))))
	51.6%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 t t) #s(literal 1/4 binary64)))))
	57.6%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/16 binary64) (.f64 (*.f64 t t) #s(literal 1/96 binary64))))))))))
✓	30.5%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) x))
	31.0%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (neg.f64 y))
	74.9%	(.f64 (sqrt.f64 z) (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)) #s(literal 1 binary64)) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y (.f64 x #s(literal 1/2 binary64)))))))

Compiler

Compiled 3059 to 1128 computations (63.1% saved)

regimes338.0ms (0.8%)

Counts

77 → 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 #s(literal 0 binary64) y))
(.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))))
(/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (sqrt.f64 (*.f64 z #s(literal 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 (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) y))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 t t) #s(literal 1/4 binary64)))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 y (+.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 t t)))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) 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 (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 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (.f64 t t) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))))
(.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 (+.f64 (.f64 t t) #s(literal 1 binary64)) (*.f64 z #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 y (.f64 #s(literal -1/2 binary64) (.f64 t t)))))
(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)) #s(literal 1 binary64)) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 y (-.f64 #s(literal -1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 t t) #s(literal 1/8 binary64))))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 t (.f64 t (-.f64 (.f64 #s(literal 1/2 binary64) x) y))))) y))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 y (.f64 x #s(literal 1/2 binary64))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (.f64 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 #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 #s(literal 1 binary64) (/.f64 (+.f64 y (.f64 x #s(literal 1/2 binary64))) (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 t (.f64 t (.f64 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 x (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/16 binary64) (.f64 (*.f64 t t) #s(literal 1/96 binary64))))))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/4 binary64))) (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) #s(literal 1/2 binary64)))) x))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 y (+.f64 (.f64 t (.f64 t (+.f64 (.f64 (.f64 t t) (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 t t)))) #s(literal -1/2 binary64)))) #s(literal -1 binary64))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 t t))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (+.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))))
(.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 t (.f64 t (.f64 (.f64 t t) #s(literal 1/48 binary64)))))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (.f64 (.f64 t t) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 t t) #s(literal 1/8 binary64))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 t t) #s(literal 1/48 binary64))))))))) y)))
(.f64 (+.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 t (.f64 (.f64 t (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64)))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t #s(literal 1/48 binary64)) t)))))))))
(.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 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (.f64 (.f64 t t) (.f64 y (+.f64 (.f64 (.f64 t t) (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal -1/48 binary64) (.f64 t t)))) #s(literal -1/2 binary64)))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (.f64 (.f64 (.f64 t t) y) (+.f64 (.f64 (.f64 t t) (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal -1/48 binary64) (.f64 t t)))) #s(literal -1/2 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 y (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))) (/.f64 (.f64 t t) y))))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/6 binary64)))))))) (.f64 z #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (.f64 (.f64 (.f64 t t) (+.f64 #s(literal -1/2 binary64) (/.f64 y x))) (neg.f64 x)) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 t t) #s(literal 1/8 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 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y (+.f64 y (*.f64 x #s(literal 1/2 binary64))))))
(.f64 (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (.f64 (-.f64 (.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))))))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))))) (.f64 y (/.f64 (+.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)))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (.f64 (.f64 t t) (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 (.f64 t t) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (.f64 t t) (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 t t) #s(literal 1/48 binary64))))))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 x (-.f64 (.f64 (.f64 t t) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))))) (.f64 t (.f64 t (/.f64 (.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64)))) x)))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 y (-.f64 (/.f64 (.f64 (.f64 t t) (.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64)))))) y) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))))))))
(.f64 (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))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t #s(literal 1/8 binary64))))))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y (+.f64 y (.f64 x #s(literal 1/2 binary64)))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 (.f64 t t) (+.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 t t) #s(literal 1/96 binary64))))) (/.f64 (.f64 y (+.f64 (.f64 (.f64 t t) (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal -1/48 binary64) (.f64 t t)))) #s(literal -1/2 binary64))) x))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.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) #s(literal 1/2 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 t t) #s(literal 1/48 binary64))))))))) (/.f64 y x)))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 t t) (.f64 t t)))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (.f64 (.f64 t t) (.f64 (.f64 t t) (.f64 t t))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (.f64 t t))) (.f64 y (.f64 (.f64 t t) (.f64 y (.f64 t t))))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (-.f64 #s(literal 1 binary64) (.f64 (.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 (.f64 t t) #s(literal 1/48 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))))))) (-.f64 #s(literal 1 binary64) (.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 (.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (.f64 t t)))) (.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y (+.f64 y (.f64 x #s(literal 1/2 binary64))))) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 t t) (.f64 t t)))) (.f64 t (.f64 t (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))))) (.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y (+.f64 y (.f64 x #s(literal 1/2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (.f64 t t))))))
(.f64 (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))) (-.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 (.f64 t t) #s(literal 1/48 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))))))) (.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y (+.f64 y (.f64 x #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))))))))
(.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) y) (*.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (pow.f64 (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) y))
(.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 z #s(literal 2 binary64)))))
(.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 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 t t))) (-.f64 #s(literal 0 binary64) y)))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (*.f64 z #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (.f64 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 (exp.f64 (.f64 t t)) (.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(.f64 (sqrt.f64 z) (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))))
(.f64 (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 z #s(literal 2 binary64))))) (+.f64 (.f64 x #s(literal 1/2 binary64)) y))
(.f64 (sqrt.f64 z) (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)) #s(literal 1 binary64)) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y (.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 y (.f64 y y))) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 z #s(literal 2 binary64))))) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y (+.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (*.f64 (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.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)))))

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

Calls

13 calls:

47.0ms	t
41.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
23.0ms	(*.f64 z #s(literal 2 binary64))
23.0ms	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
23.0ms	x

Results

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

Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes237.0ms (0.6%)

Counts

66 → 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 #s(literal 0 binary64) y))
(.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))))
(/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (sqrt.f64 (*.f64 z #s(literal 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 (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) y))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 t t) #s(literal 1/4 binary64)))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 y (+.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 t t)))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) 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 (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 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (.f64 t t) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))))
(.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 (+.f64 (.f64 t t) #s(literal 1 binary64)) (*.f64 z #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 y (.f64 #s(literal -1/2 binary64) (.f64 t t)))))
(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)) #s(literal 1 binary64)) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 y (-.f64 #s(literal -1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 t t) #s(literal 1/8 binary64))))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 t (.f64 t (-.f64 (.f64 #s(literal 1/2 binary64) x) y))))) y))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 y (.f64 x #s(literal 1/2 binary64))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (.f64 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 #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 #s(literal 1 binary64) (/.f64 (+.f64 y (.f64 x #s(literal 1/2 binary64))) (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 t (.f64 t (.f64 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 x (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/16 binary64) (.f64 (*.f64 t t) #s(literal 1/96 binary64))))))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/4 binary64))) (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) #s(literal 1/2 binary64)))) x))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 y (+.f64 (.f64 t (.f64 t (+.f64 (.f64 (.f64 t t) (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 t t)))) #s(literal -1/2 binary64)))) #s(literal -1 binary64))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 t t))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (+.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))))
(.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 t (.f64 t (.f64 (.f64 t t) #s(literal 1/48 binary64)))))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (.f64 (.f64 t t) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 t t) #s(literal 1/8 binary64))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 t t) #s(literal 1/48 binary64))))))))) y)))
(.f64 (+.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 t (.f64 (.f64 t (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64)))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t #s(literal 1/48 binary64)) t)))))))))
(.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 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (.f64 (.f64 t t) (.f64 y (+.f64 (.f64 (.f64 t t) (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal -1/48 binary64) (.f64 t t)))) #s(literal -1/2 binary64)))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (.f64 (.f64 (.f64 t t) y) (+.f64 (.f64 (.f64 t t) (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal -1/48 binary64) (.f64 t t)))) #s(literal -1/2 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 y (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))) (/.f64 (.f64 t t) y))))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/6 binary64)))))))) (.f64 z #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (.f64 (.f64 (.f64 t t) (+.f64 #s(literal -1/2 binary64) (/.f64 y x))) (neg.f64 x)) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 t t) #s(literal 1/8 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 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y (+.f64 y (*.f64 x #s(literal 1/2 binary64))))))
(.f64 (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (.f64 (-.f64 (.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))))))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))))) (.f64 y (/.f64 (+.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)))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (.f64 (.f64 t t) (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 (.f64 t t) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (.f64 t t) (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 t t) #s(literal 1/48 binary64))))))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 x (-.f64 (.f64 (.f64 t t) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))))) (.f64 t (.f64 t (/.f64 (.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64)))) x)))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 y (-.f64 (/.f64 (.f64 (.f64 t t) (.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64)))))) y) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))))))))
(.f64 (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))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t #s(literal 1/8 binary64))))))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y (+.f64 y (.f64 x #s(literal 1/2 binary64)))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 (.f64 t t) (+.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 t t) #s(literal 1/96 binary64))))) (/.f64 (.f64 y (+.f64 (.f64 (.f64 t t) (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal -1/48 binary64) (.f64 t t)))) #s(literal -1/2 binary64))) x))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.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) #s(literal 1/2 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 t t) #s(literal 1/48 binary64))))))))) (/.f64 y x)))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 t t) (.f64 t t)))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (.f64 (.f64 t t) (.f64 (.f64 t t) (.f64 t t))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (.f64 t t))) (.f64 y (.f64 (.f64 t t) (.f64 y (.f64 t t))))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (-.f64 #s(literal 1 binary64) (.f64 (.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 (.f64 t t) #s(literal 1/48 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))))))) (-.f64 #s(literal 1 binary64) (.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 (.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (.f64 t t)))) (.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y (+.f64 y (.f64 x #s(literal 1/2 binary64))))) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 t t) (.f64 t t)))) (.f64 t (.f64 t (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))))) (.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y (+.f64 y (.f64 x #s(literal 1/2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (.f64 t t))))))
(.f64 (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))) (-.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 (.f64 t t) #s(literal 1/48 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))))))) (.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y (+.f64 y (.f64 x #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))))))))
(.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) y) (*.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (pow.f64 (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) y))
(.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 z #s(literal 2 binary64)))))
(.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 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 t t))) (-.f64 #s(literal 0 binary64) y)))

Outputs

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

Calls

9 calls:

56.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
26.0ms	z
21.0ms	y
21.0ms	(*.f64 x #s(literal 1/2 binary64))
20.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)

Results

Accuracy	Segments	Branch
94.1%	1	`x`
94.1%	1	`y`
94.1%	1	`z`
97.1%	2	`t`
94.1%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
94.1%	1	`(*.f64 x #s(literal 1/2 binary64))`
94.1%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
94.1%	1	`(*.f64 z #s(literal 2 binary64))`
97.1%	2	`(*.f64 t t)`

Compiler

Compiled 58 to 47 computations (19% saved)

regimes107.0ms (0.3%)

Counts

56 → 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 #s(literal 0 binary64) y))
(.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))))
(/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (sqrt.f64 (*.f64 z #s(literal 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 (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) y))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 t t) #s(literal 1/4 binary64)))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 y (+.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 t t)))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) 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 (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 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (.f64 t t) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))))
(.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 (+.f64 (.f64 t t) #s(literal 1 binary64)) (*.f64 z #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 y (.f64 #s(literal -1/2 binary64) (.f64 t t)))))
(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)) #s(literal 1 binary64)) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 y (-.f64 #s(literal -1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 t t) #s(literal 1/8 binary64))))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 t (.f64 t (-.f64 (.f64 #s(literal 1/2 binary64) x) y))))) y))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 y (.f64 x #s(literal 1/2 binary64))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (.f64 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 #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 #s(literal 1 binary64) (/.f64 (+.f64 y (.f64 x #s(literal 1/2 binary64))) (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 t (.f64 t (.f64 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 x (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/16 binary64) (.f64 (*.f64 t t) #s(literal 1/96 binary64))))))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/4 binary64))) (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) #s(literal 1/2 binary64)))) x))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 y (+.f64 (.f64 t (.f64 t (+.f64 (.f64 (.f64 t t) (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 t t)))) #s(literal -1/2 binary64)))) #s(literal -1 binary64))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 t t))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (+.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))))
(.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 t (.f64 t (.f64 (.f64 t t) #s(literal 1/48 binary64)))))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (.f64 (.f64 t t) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 t t) #s(literal 1/8 binary64))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 t t) #s(literal 1/48 binary64))))))))) y)))
(.f64 (+.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 t (.f64 (.f64 t (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64)))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t #s(literal 1/48 binary64)) t)))))))))
(.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 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (.f64 (.f64 t t) (.f64 y (+.f64 (.f64 (.f64 t t) (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal -1/48 binary64) (.f64 t t)))) #s(literal -1/2 binary64)))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (.f64 (.f64 (.f64 t t) y) (+.f64 (.f64 (.f64 t t) (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal -1/48 binary64) (.f64 t t)))) #s(literal -1/2 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 y (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))) (/.f64 (.f64 t t) y))))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/6 binary64)))))))) (.f64 z #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (.f64 (.f64 (.f64 t t) (+.f64 #s(literal -1/2 binary64) (/.f64 y x))) (neg.f64 x)) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 t t) #s(literal 1/8 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 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y (+.f64 y (*.f64 x #s(literal 1/2 binary64))))))
(.f64 (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (.f64 (-.f64 (.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))))))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))))) (.f64 y (/.f64 (+.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)))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (.f64 (.f64 t t) (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 (.f64 t t) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (.f64 t t) (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 t t) #s(literal 1/48 binary64))))))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 x (-.f64 (.f64 (.f64 t t) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))))) (.f64 t (.f64 t (/.f64 (.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64)))) x)))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 y (-.f64 (/.f64 (.f64 (.f64 t t) (.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64)))))) y) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))))))))
(.f64 (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))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t #s(literal 1/8 binary64))))))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y (+.f64 y (.f64 x #s(literal 1/2 binary64)))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 (.f64 t t) (+.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 t t) #s(literal 1/96 binary64))))) (/.f64 (.f64 y (+.f64 (.f64 (.f64 t t) (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal -1/48 binary64) (.f64 t t)))) #s(literal -1/2 binary64))) x))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.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) #s(literal 1/2 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 t t) #s(literal 1/48 binary64))))))))) (/.f64 y x)))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 t t) (.f64 t t)))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (.f64 (.f64 t t) (.f64 (.f64 t t) (.f64 t t))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (.f64 t t))) (.f64 y (.f64 (.f64 t t) (.f64 y (.f64 t t))))))))

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

Calls

5 calls:

29.0ms	(*.f64 t t)
23.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
16.0ms	(*.f64 x #s(literal 1/2 binary64))
16.0ms	t
15.0ms	x

Results

Accuracy	Segments	Branch
94.1%	1	`x`
94.1%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
94.1%	1	`(*.f64 x #s(literal 1/2 binary64))`
94.1%	1	`t`
94.1%	1	`(*.f64 t t)`

Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes139.0ms (0.3%)

Counts

38 → 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 #s(literal 0 binary64) y))
(.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))))
(/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (sqrt.f64 (*.f64 z #s(literal 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 (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) y))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 t t) #s(literal 1/4 binary64)))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 y (+.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 t t)))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) 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 (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 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (.f64 t t) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))))
(.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 (+.f64 (.f64 t t) #s(literal 1 binary64)) (*.f64 z #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 y (.f64 #s(literal -1/2 binary64) (.f64 t t)))))
(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)) #s(literal 1 binary64)) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 y (-.f64 #s(literal -1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 t t) #s(literal 1/8 binary64))))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 t (.f64 t (-.f64 (.f64 #s(literal 1/2 binary64) x) y))))) y))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 y (.f64 x #s(literal 1/2 binary64))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (.f64 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 #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 #s(literal 1 binary64) (/.f64 (+.f64 y (.f64 x #s(literal 1/2 binary64))) (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 t (.f64 t (.f64 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 x (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/16 binary64) (.f64 (*.f64 t t) #s(literal 1/96 binary64))))))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/4 binary64))) (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) #s(literal 1/2 binary64)))) x))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 y (+.f64 (.f64 t (.f64 t (+.f64 (.f64 (.f64 t t) (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 t t)))) #s(literal -1/2 binary64)))) #s(literal -1 binary64))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 t t))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (+.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))))
(.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 t (.f64 t (.f64 (.f64 t t) #s(literal 1/48 binary64)))))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (.f64 (.f64 t t) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 t t) #s(literal 1/8 binary64))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 t t) #s(literal 1/48 binary64))))))))) y)))
(.f64 (+.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 t (.f64 (.f64 t (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64)))))) (sqrt.f64 (*.f64 z #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 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/48 binary64)))))))))

Calls

9 calls:

33.0ms	(*.f64 x #s(literal 1/2 binary64))
22.0ms	(*.f64 z #s(literal 2 binary64))
12.0ms	x
12.0ms	z
11.0ms	t

Results

Accuracy	Segments	Branch
94.0%	1	`y`
94.0%	1	`z`
94.0%	1	`t`
94.0%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
94.0%	1	`(*.f64 z #s(literal 2 binary64))`
94.0%	1	`(*.f64 t t)`
94.0%	1	`x`
94.0%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
94.0%	1	`(*.f64 x #s(literal 1/2 binary64))`

Compiler

Compiled 58 to 47 computations (19% saved)

regimes134.0ms (0.3%)

Counts

34 → 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 #s(literal 0 binary64) y))
(.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))))
(/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (sqrt.f64 (*.f64 z #s(literal 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 (pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) y))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 t t) #s(literal 1/4 binary64)))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 y (+.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 t t)))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) 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 (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 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (.f64 t t) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))))
(.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 (+.f64 (.f64 t t) #s(literal 1 binary64)) (*.f64 z #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 y (.f64 #s(literal -1/2 binary64) (.f64 t t)))))
(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)) #s(literal 1 binary64)) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 y (-.f64 #s(literal -1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 t t) #s(literal 1/8 binary64))))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 t (.f64 t (-.f64 (.f64 #s(literal 1/2 binary64) x) y))))) y))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 y (.f64 x #s(literal 1/2 binary64))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (.f64 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 #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 #s(literal 1 binary64) (/.f64 (+.f64 y (.f64 x #s(literal 1/2 binary64))) (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 t (.f64 t (.f64 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 x (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/16 binary64) (.f64 (*.f64 t t) #s(literal 1/96 binary64))))))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/4 binary64))) (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 t t) #s(literal 1/2 binary64)))) x))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 y (+.f64 (.f64 t (.f64 t (+.f64 (.f64 (.f64 t t) (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 t t)))) #s(literal -1/2 binary64)))) #s(literal -1 binary64))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 t t))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (+.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))))

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

Calls

9 calls:

46.0ms	(*.f64 z #s(literal 2 binary64))
14.0ms	z
11.0ms	x
10.0ms	y
10.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
93.3%	1	`y`
93.3%	1	`z`
93.3%	1	`t`
93.3%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
93.3%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
93.3%	1	`(*.f64 z #s(literal 2 binary64))`
93.3%	1	`(*.f64 t t)`
93.3%	1	`x`
93.3%	1	`(*.f64 x #s(literal 1/2 binary64))`

Compiler

Compiled 58 to 47 computations (19% saved)

regimes85.0ms (0.2%)

Counts

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

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

Calls

9 calls:

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

Results

Accuracy	Segments	Branch
90.7%	1	`y`
90.7%	1	`x`
93.2%	2	`z`
90.7%	1	`t`
90.7%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
90.7%	1	`(*.f64 x #s(literal 1/2 binary64))`
93.2%	2	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
93.2%	2	`(*.f64 z #s(literal 2 binary64))`
90.7%	1	`(*.f64 t t)`

Compiler

Compiled 58 to 47 computations (19% saved)

regimes75.0ms (0.2%)

Counts

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

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

9 calls:

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

Results

Accuracy	Segments	Branch
90.6%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
90.6%	1	`x`
90.6%	1	`t`
90.6%	1	`(*.f64 x #s(literal 1/2 binary64))`
90.6%	1	`(*.f64 t t)`
90.6%	1	`y`
90.6%	1	`z`
90.6%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
90.6%	1	`(*.f64 z #s(literal 2 binary64))`

Compiler

Compiled 58 to 47 computations (19% saved)

regimes58.0ms (0.1%)

Counts

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

Outputs

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

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

Calls

9 calls:

9.0ms	z
7.0ms	(*.f64 z #s(literal 2 binary64))
6.0ms	(*.f64 t t)
6.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
6.0ms	x

Results

Accuracy	Segments	Branch
84.4%	1	`x`
84.4%	1	`z`
84.4%	1	`(*.f64 x #s(literal 1/2 binary64))`
84.4%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
84.4%	1	`(*.f64 z #s(literal 2 binary64))`
86.9%	2	`y`
84.4%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
90.6%	2	`t`
90.6%	2	`(*.f64 t t)`

Compiler

Compiled 58 to 47 computations (19% saved)

regimes12.0ms (0%)

Counts

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
90.4%	2	`t`
90.4%	2	`(*.f64 t t)`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes70.0ms (0.2%)

Counts

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

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

Calls

9 calls:

27.0ms	t
8.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
5.0ms	(*.f64 x #s(literal 1/2 binary64))
5.0ms	x
5.0ms	y

Results

Accuracy	Segments	Branch
73.9%	3	`x`
73.9%	3	`(*.f64 x #s(literal 1/2 binary64))`
62.8%	2	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
67.0%	3	`z`
67.0%	3	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
67.0%	3	`(*.f64 z #s(literal 2 binary64))`
75.7%	3	`y`
79.5%	2	`t`
79.5%	2	`(*.f64 t t)`

Compiler

Compiled 58 to 47 computations (19% saved)

regimes10.0ms (0%)

Counts

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

Outputs

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

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

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

Calls

2 calls:

5.0ms	t
3.0ms	(*.f64 t t)

Results

Accuracy	Segments	Branch
80.2%	3	`t`
80.2%	3	`(*.f64 t t)`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes15.0ms (0%)

Counts

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

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

Calls

4 calls:

3.0ms	t
3.0ms	(*.f64 x #s(literal 1/2 binary64))
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
60.9%	1	`x`
60.9%	1	`(*.f64 x #s(literal 1/2 binary64))`
66.1%	3	`y`
68.0%	2	`t`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes23.0ms (0.1%)

Counts

6 → 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 #s(literal 0 binary64) y))
(.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))))
(/.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))

Outputs

(*.f64 (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

4 calls:

14.0ms	(*.f64 z #s(literal 2 binary64))
3.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
3.0ms	z
3.0ms	t

Results

Accuracy	Segments	Branch
60.9%	1	`z`
60.9%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
60.9%	1	`(*.f64 z #s(literal 2 binary64))`
65.3%	2	`t`

Compiler

Compiled 25 to 21 computations (16% saved)

regimes14.0ms (0%)

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

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

Calls

6 calls:

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

Results

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

Compiler

Compiled 35 to 29 computations (17.1% saved)

regimes15.0ms (0%)

Counts

3 → 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 #s(literal 0 binary64) y))

Outputs

(*.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))) (neg.f64 y))

Calls

6 calls:

5.0ms	y
2.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
2.0ms	(*.f64 z #s(literal 2 binary64))
2.0ms	z
2.0ms	t

Results

Accuracy	Segments	Branch
36.9%	4	`z`
36.9%	4	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
36.9%	4	`(*.f64 z #s(literal 2 binary64))`
45.7%	3	`y`
36.9%	3	`t`
45.5%	3	`x`

Compiler

Compiled 35 to 29 computations (17.1% saved)

regimes9.0ms (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

6 calls:

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

Results

Accuracy	Segments	Branch
31.0%	1	`z`
31.0%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
31.0%	1	`(*.f64 z #s(literal 2 binary64))`
31.0%	1	`t`
31.0%	1	`x`
31.0%	1	`y`

Compiler

Compiled 35 to 29 computations (17.1% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.9344450014918544e+85	1.0296303196117813e+94

Compiler

Compiled 28 to 21 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.039925525531361e-118	3.7953614602975104e-117

Compiler

Compiled 28 to 22 computations (21.4% saved)

bsearch22.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	0.009319766817849483	107527.84514695496

Results

15.0ms

144×

valid

Compiler

Compiled 370 to 282 computations (23.8% saved)

Precisions

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

ival-mult: 4.0ms (48.3% of total)

ival-sub: 1.0ms (12.1% of total)

ival-div: 1.0ms (12.1% of total)

ival-exp: 1.0ms (12.1% of total)

ival-sqrt: 1.0ms (12.1% of total)

const: 0.0ms (0% of total)

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

bsearch24.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	0.009319766817849483	107527.84514695496

Results

17.0ms

144×

valid

Compiler

Compiled 334 to 255 computations (23.7% saved)

Precisions

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

ival-mult: 8.0ms (65.2% of total)

ival-sub: 1.0ms (8.2% of total)

ival-div: 1.0ms (8.2% of total)

ival-exp: 1.0ms (8.2% of total)

ival-sqrt: 1.0ms (8.2% of total)

const: 0.0ms (0% of total)

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

bsearch18.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	4.590021056062834e+42	6.358227600457645e+44

Results

13.0ms

112×

valid

Compiler

Compiled 252 to 203 computations (19.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 5.0ms (57.7% of total)

ival-sub: 1.0ms (11.5% of total)

ival-div: 1.0ms (11.5% of total)

ival-exp: 1.0ms (11.5% of total)

ival-sqrt: 1.0ms (11.5% of total)

const: 0.0ms (0% of total)

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

bsearch32.0ms (0.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	4.176776989875354e+187	9.12685886891542e+190
10.0ms	3.4903955483767175e+24	8.275590913448194e+24

Results

22.0ms

208×

valid

Compiler

Compiled 460 to 362 computations (21.3% saved)

Precisions

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

ival-mult: 8.0ms (56.1% of total)

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

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

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

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

const: 0.0ms (0% of total)

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

bsearch11.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1868260032323.316	2876732680220.426

Results

7.0ms

64×

valid

Compiler

Compiled 156 to 121 computations (22.4% saved)

Precisions

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

ival-mult: 3.0ms (59.8% of total)

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

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

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

const: 0.0ms (0% of total)

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

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

bsearch10.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	9.767780590985231e-30	1.5208436214944542e-29

Results

6.0ms

64×

valid

Compiler

Compiled 156 to 121 computations (22.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 2.0ms (51.6% of total)

ival-sqrt: 1.0ms (25.8% of total)

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

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

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

const: 0.0ms (0% of total)

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

bsearch45.0ms (0.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1.0689246204625336e-135	1.9208139072115685e-127
22.0ms	-1.2649495811266025e+132	-1.030473041515901e+123

Results

31.0ms

288×

valid

Compiler

Compiled 478 to 399 computations (16.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 9.0ms (44% of total)

ival-div: 5.0ms (24.5% of total)

ival-sub: 2.0ms (9.8% of total)

ival-exp: 2.0ms (9.8% of total)

ival-sqrt: 2.0ms (9.8% of total)

const: 0.0ms (0% of total)

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

simplify30.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

146×	`*-commutative_binary64`
80×	`+-commutative_binary64`
52×	`sub-neg_binary64`
44×	`neg-mul-1_binary64`
42×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	131	502
1	228	502
2	275	502
3	316	502
4	348	502
5	366	502
6	382	502
7	389	502
8	393	502
9	394	502

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (*.f64 z #s(literal 2 binary64)))))
(if (<=.f64 (.f64 t t) #s(literal 50000000000000000731534761533743651548502149393232752963930539358489818212557410795520 binary64)) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (-.f64 #s(literal 1 binary64) (.f64 (.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 (.f64 t t) #s(literal 1/48 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))))))) (-.f64 #s(literal 1 binary64) (.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 (.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 (.f64 t t) #s(literal 1/48 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 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t #s(literal 1/48 binary64)) t)))))))))
(.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 t (.f64 t (.f64 (.f64 t t) #s(literal 1/48 binary64)))))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))))))))
(if (<=.f64 (.f64 z #s(literal 2 binary64)) #s(literal 5678427533559429/5678427533559428832416592249125035424637823130369672345949142181098744438385921275985867583701277855943457200048954515105739075223552 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 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 (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))))
(if (<=.f64 (.f64 t t) #s(literal 5404319552844595/1125899906842624 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 (+.f64 (.f64 t t) #s(literal 1 binary64)) (.f64 z #s(literal 2 binary64))))) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (.f64 t t) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))))
(if (<=.f64 (.f64 t t) #s(literal 2 binary64)) (.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 (.f64 t t) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))))
(if (<=.f64 (.f64 t t) #s(literal 17500000000000000553386214500319742203527168 binary64)) (.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 y (+.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 t t))))))
(if (<=.f64 (.f64 t t) #s(literal 3899999999999999773507584 binary64)) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (if (<=.f64 (.f64 t t) #s(literal 139999999999999990866512708722475313825051300496878396803711585881085910851971271796345396234919748039689480899203950907640315315032055323394392444993956127622376645307870594995916726337536 binary64)) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) y) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 t t) #s(literal 1/4 binary64)))))))
(if (<=.f64 t #s(literal 1900000000000 binary64)) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) y))
(if (<=.f64 t #s(literal 2676089423823675/178405961588244985132285746181186892047843328 binary64)) (.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)))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(if (<=.f64 y #s(literal -14500000000000001071241719627323359275219876658795222876496721592921046950356692695378173765000623966000264360985212007481344 binary64)) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (neg.f64 y)) (if (<=.f64 y #s(literal 548744862360233/3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119424 binary64)) (.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))) (neg.f64 y))

Outputs
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (*.f64 z #s(literal 2 binary64)))))
(if (<=.f64 (.f64 t t) #s(literal 50000000000000000731534761533743651548502149393232752963930539358489818212557410795520 binary64)) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (/.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (-.f64 #s(literal 1 binary64) (.f64 (.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 (.f64 t t) #s(literal 1/48 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t t) #s(literal 1/48 binary64))))))))) (-.f64 #s(literal 1 binary64) (.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 (.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 (.f64 t t) #s(literal 1/48 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 t (.f64 t (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t #s(literal 1/48 binary64)) t)))))))))
(.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 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 (.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 (.f64 t t) #s(literal 1/48 binary64)))))))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/8 binary64))))))))
(if (<=.f64 (.f64 z #s(literal 2 binary64)) #s(literal 5678427533559429/5678427533559428832416592249125035424637823130369672345949142181098744438385921275985867583701277855943457200048954515105739075223552 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 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))))))))
(if (<=.f64 (.f64 z #s(literal 2 binary64)) #s(literal 5678427533559429/5678427533559428832416592249125035424637823130369672345949142181098744438385921275985867583701277855943457200048954515105739075223552 binary64)) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 t t))))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (+.f64 (.f64 z #s(literal 2 binary64)) (.f64 (.f64 t t) (.f64 z (+.f64 (.f64 t t) #s(literal 2 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 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 t t)))))
(if (<=.f64 (.f64 t t) #s(literal 5404319552844595/1125899906842624 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 (+.f64 (.f64 t t) #s(literal 1 binary64)) (.f64 z #s(literal 2 binary64))))) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (.f64 t t) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))))
(if (<=.f64 (.f64 t t) #s(literal 5404319552844595/1125899906842624 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (+.f64 (.f64 t t) #s(literal 1 binary64))))) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (.f64 t t) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))))
(if (<=.f64 (.f64 t t) #s(literal 2 binary64)) (.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 (.f64 t t) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))))
(if (<=.f64 (.f64 t t) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (.f64 t t) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))))
(if (<=.f64 (.f64 t t) #s(literal 17500000000000000553386214500319742203527168 binary64)) (.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 y (+.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 t t))))))
(if (<=.f64 (.f64 t t) #s(literal 17500000000000000553386214500319742203527168 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 y (+.f64 #s(literal -1 binary64) (.f64 (*.f64 t t) #s(literal -1/2 binary64))))))
(if (<=.f64 (.f64 t t) #s(literal 3899999999999999773507584 binary64)) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (if (<=.f64 (.f64 t t) #s(literal 139999999999999990866512708722475313825051300496878396803711585881085910851971271796345396234919748039689480899203950907640315315032055323394392444993956127622376645307870594995916726337536 binary64)) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) y) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 t t) #s(literal 1/4 binary64)))))))
(if (<=.f64 (.f64 t t) #s(literal 3899999999999999773507584 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (if (<=.f64 (.f64 t t) #s(literal 139999999999999990866512708722475313825051300496878396803711585881085910851971271796345396234919748039689480899203950907640315315032055323394392444993956127622376645307870594995916726337536 binary64)) (/.f64 (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 y (-.f64 #s(literal 0 binary64) y))) y) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 t t) #s(literal 1/4 binary64)))))))
(if (<=.f64 t #s(literal 1900000000000 binary64)) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) y))
(if (<=.f64 t #s(literal 1900000000000 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (/.f64 (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 y (-.f64 #s(literal 0 binary64) y))) y))
(if (<=.f64 t #s(literal 2676089423823675/178405961588244985132285746181186892047843328 binary64)) (.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)))))
(if (<=.f64 t #s(literal 2676089423823675/178405961588244985132285746181186892047843328 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(.f64 (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 #s(literal 2 binary64))))
(if (<=.f64 y #s(literal -14500000000000001071241719627323359275219876658795222876496721592921046950356692695378173765000623966000264360985212007481344 binary64)) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (neg.f64 y)) (if (<=.f64 y #s(literal 548744862360233/3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119424 binary64)) (.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))))
(if (<=.f64 y #s(literal -14500000000000001071241719627323359275219876658795222876496721592921046950356692695378173765000623966000264360985212007481344 binary64)) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) y)) (if (<=.f64 y #s(literal 548744862360233/3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119424 binary64)) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 x #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) y))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (neg.f64 y))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) y))

soundness3.1s (7.6%)

Rules

7864×	`-lowering-.f32`
7864×	`-lowering-.f64`
6868×	`-lowering-.f32`
6868×	`-lowering-.f64`
6746×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	532	13840
1	2042	11122
0	8414	11122
0	15	38
1	57	38
2	297	37
3	2768	37
0	8714	37
0	46	300
1	305	264
2	2856	260
0	8689	260
0	49	291
1	339	274
2	3177	272
0	11314	272
0	133	2034
1	460	1707
2	1791	1505
3	5757	1493
0	8241	1493
0	458	9871
1	1704	7956
2	6812	7949
0	8377	7949
0	15	14
1	30	14
2	54	14
3	115	14
4	276	14
5	496	14
6	801	14
7	1378	14
8	3639	14
9	6076	14
10	7536	14
11	7982	14
0	8006	14

Stop Event

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

Compiler

Compiled 1938 to 1160 computations (40.1% saved)

preprocess148.0ms (0.4%)

Remove: (abs t)
Compiler: Compiled 1312 to 458 computations (65.1% saved)

Iter	Nodes	Cost
0	131	502
1	228	502
2	275	502
3	316	502
4	348	502
5	366	502
6	382	502
7	389	502
8	393	502
9	394	502

Iter	Nodes	Cost
0	131	502
1	228	502
2	275	502
3	316	502
4	348	502
5	366	502
6	382	502
7	389	502
8	393	502
9	394	502

analyze217.0ms (0.5%)

sample27.5s (66.9%)

preprocess179.0ms (0.4%)

explain170.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify146.0ms (0.4%)

localize59.0ms (0.1%)

series21.0ms (0.1%)

rewrite448.0ms (1.1%)

simplify442.0ms (1.1%)

eval542.0ms (1.3%)

prune50.0ms (0.1%)

simplify267.0ms (0.7%)

localize200.0ms (0.5%)

series88.0ms (0.2%)

rewrite433.0ms (1.1%)

simplify341.0ms (0.8%)

eval284.0ms (0.7%)

prune302.0ms (0.7%)

simplify232.0ms (0.6%)

localize385.0ms (0.9%)

series103.0ms (0.2%)

rewrite841.0ms (2.1%)

simplify498.0ms (1.2%)

eval272.0ms (0.7%)

prune217.0ms (0.5%)

simplify220.0ms (0.5%)

localize300.0ms (0.7%)

series63.0ms (0.2%)

rewrite556.0ms (1.4%)

simplify443.0ms (1.1%)

eval249.0ms (0.6%)

prune172.0ms (0.4%)

regimes338.0ms (0.8%)

regimes237.0ms (0.6%)

regimes107.0ms (0.3%)

regimes139.0ms (0.3%)

regimes134.0ms (0.3%)

regimes85.0ms (0.2%)

regimes75.0ms (0.2%)

regimes58.0ms (0.1%)

regimes12.0ms (0%)

regimes70.0ms (0.2%)

regimes10.0ms (0%)

regimes15.0ms (0%)

regimes23.0ms (0.1%)

regimes14.0ms (0%)

regimes15.0ms (0%)

regimes9.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch22.0ms (0.1%)

bsearch24.0ms (0.1%)

bsearch18.0ms (0%)

bsearch32.0ms (0.1%)

bsearch11.0ms (0%)

bsearch10.0ms (0%)

bsearch45.0ms (0.1%)

simplify30.0ms (0.1%)

soundness3.1s (7.6%)

preprocess148.0ms (0.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	131	502
1	228	502
2	275	502
3	316	502
4	348	502
5	366	502
6	382	502
7	389	502
8	393	502
9	394	502