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

Time bar (total: 20.4s)

analyze489.0ms (2.4%)

Memory
10.9MiB live, 130.1MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
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 19 to 17 computations (10.5% saved)

sample1.8s (9%)

Memory
31.9MiB live, 2 371.4MiB allocated
Samples
1.1s8 256×0valid
244.0ms2 059×0invalid
Precisions
Click to see histograms. Total time spent on operations: 946.0ms
ival-mult: 488.0ms (51.6% of total)
ival-exp: 165.0ms (17.4% of total)
ival-sqrt: 144.0ms (15.2% of total)
ival-div: 73.0ms (7.7% of total)
ival-sub: 54.0ms (5.7% of total)
exact: 11.0ms (1.2% of total)
ival-true: 8.0ms (0.8% of total)
ival-assert: 4.0ms (0.4% of total)
Bogosity

preprocess142.0ms (0.7%)

Memory
-4.7MiB live, 192.5MiB allocated
Algorithm
2×egg-herbie
Rules
1 466×times-frac
1 444×unsub-neg
1 344×accelerator-lowering-fma.f32
1 344×accelerator-lowering-fma.f64
936×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073248
1192242
2495240
31547240
44036240
56473240
01516
12716
24916
310616
423716
535916
649116
780516
8149216
9192816
10206216
11208016
12208016
13210016
14210816
15210816
0210816
Stop Event
1×iter limit
1×saturated
1×node limit
Calls
Call 1
Inputs
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2)))
Outputs
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (sqrt.f64 (exp.f64 (*.f64 t t))))
Call 2
Inputs
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2)))
(* (* (- (* (neg x) 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2)))
(* (* (- (* x 1/2) (neg y)) (sqrt (* z 2))) (exp (/ (* t t) 2)))
(* (* (- (* x 1/2) y) (sqrt (* (neg z) 2))) (exp (/ (* t t) 2)))
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* (neg t) (neg t)) 2)))
(neg (* (* (- (* (neg x) 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))))
(neg (* (* (- (* x 1/2) (neg y)) (sqrt (* z 2))) (exp (/ (* t t) 2))))
(neg (* (* (- (* x 1/2) y) (sqrt (* (neg z) 2))) (exp (/ (* t t) 2))))
(neg (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* (neg t) (neg t)) 2))))
(* (* (- (* y 1/2) x) (sqrt (* z 2))) (exp (/ (* t t) 2)))
(* (* (- (* z 1/2) y) (sqrt (* x 2))) (exp (/ (* t t) 2)))
(* (* (- (* t 1/2) y) (sqrt (* z 2))) (exp (/ (* x x) 2)))
(* (* (- (* x 1/2) z) (sqrt (* y 2))) (exp (/ (* t t) 2)))
(* (* (- (* x 1/2) t) (sqrt (* z 2))) (exp (/ (* y y) 2)))
(* (* (- (* x 1/2) y) (sqrt (* t 2))) (exp (/ (* z z) 2)))
Outputs
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2)))
(* (- (* x 1/2) y) (* (sqrt (* z 2)) (pow (sqrt (exp t)) t)))
(* (* (- (* (neg x) 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2)))
(* (pow (sqrt (exp t)) t) (* (sqrt (* z 2)) (- (* x -1/2) y)))
(* (* (- (* x 1/2) (neg y)) (sqrt (* z 2))) (exp (/ (* t t) 2)))
(* (pow (sqrt (exp t)) t) (* (sqrt (* z 2)) (+ (* x 1/2) y)))
(* (* (- (* x 1/2) y) (sqrt (* (neg z) 2))) (exp (/ (* t t) 2)))
(* (- (* x 1/2) y) (* (pow (sqrt (exp t)) t) (sqrt (* z -2))))
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* (neg t) (neg t)) 2)))
(* (- (* x 1/2) y) (* (sqrt (* z 2)) (pow (sqrt (exp t)) t)))
(neg (* (* (- (* (neg x) 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))))
(* (pow (sqrt (exp t)) t) (* (sqrt (* z 2)) (+ (* x 1/2) y)))
(neg (* (* (- (* x 1/2) (neg y)) (sqrt (* z 2))) (exp (/ (* t t) 2))))
(* (pow (sqrt (exp t)) t) (* (sqrt (* z 2)) (- (* x -1/2) y)))
(neg (* (* (- (* x 1/2) y) (sqrt (* (neg z) 2))) (exp (/ (* t t) 2))))
(* (pow (sqrt (exp t)) t) (* (sqrt (* z -2)) (+ y (* x -1/2))))
(neg (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* (neg t) (neg t)) 2))))
(* (sqrt (* z 2)) (* (pow (sqrt (exp t)) t) (+ y (* x -1/2))))
(* (* (- (* y 1/2) x) (sqrt (* z 2))) (exp (/ (* t t) 2)))
(* (sqrt (* z 2)) (* (pow (sqrt (exp t)) t) (- (* 1/2 y) x)))
(* (* (- (* z 1/2) y) (sqrt (* x 2))) (exp (/ (* t t) 2)))
(* (pow (sqrt (exp t)) t) (* (- (* 1/2 z) y) (sqrt (* x 2))))
(* (* (- (* t 1/2) y) (sqrt (* z 2))) (exp (/ (* x x) 2)))
(* (sqrt (* z 2)) (* (sqrt (pow (exp x) x)) (- (* 1/2 t) y)))
(* (* (- (* x 1/2) z) (sqrt (* y 2))) (exp (/ (* t t) 2)))
(* (- (* x 1/2) z) (* (pow (sqrt (exp t)) t) (sqrt (* y 2))))
(* (* (- (* x 1/2) t) (sqrt (* z 2))) (exp (/ (* y y) 2)))
(* (sqrt (* z 2)) (* (- (* x 1/2) t) (sqrt (pow (exp y) y))))
(* (* (- (* x 1/2) y) (sqrt (* t 2))) (exp (/ (* z z) 2)))
(* (- (* x 1/2) y) (* (sqrt (* 2 t)) (sqrt (pow (exp z) z))))
Symmetry

(abs t)

explain256.0ms (1.3%)

Memory
13.7MiB live, 378.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
00-0-t
00-0-(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
00-0-(/.f64 (*.f64 t t) #s(literal 2 binary64))
00-0-z
00-0-(*.f64 x #s(literal 1/2 binary64))
00-0-(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
00-0-(*.f64 t t)
00-0-(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
00-0-#s(literal 2 binary64)
00-0-y
00-0-(*.f64 z #s(literal 2 binary64))
00-0-(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
00-0-#s(literal 1/2 binary64)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
156.0ms512×0valid
Compiler

Compiled 170 to 64 computations (62.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 134.0ms
ival-mult: 119.0ms (88.5% of total)
ival-exp: 5.0ms (3.7% of total)
ival-sqrt: 4.0ms (3% of total)
ival-sub: 3.0ms (2.2% of total)
ival-div: 3.0ms (2.2% of total)
exact: 1.0ms (0.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify84.0ms (0.4%)

Memory
-33.3MiB live, 126.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
✓cost-diff0
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
✓cost-diff0
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
✓cost-diff64
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
Rules
1 344×accelerator-lowering-fma.f32
1 344×accelerator-lowering-fma.f64
922×*-lowering-*.f32
922×*-lowering-*.f64
416×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01560
12760
24960
310660
423760
535960
649160
780560
8149260
9192860
10206260
11208060
12208060
13210060
14210860
15210860
0210860
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2)))
(* (- (* x 1/2) y) (sqrt (* z 2)))
(- (* x 1/2) y)
(* x 1/2)
x
1/2
y
(sqrt (* z 2))
(* z 2)
z
2
(exp (/ (* t t) 2))
(/ (* t t) 2)
(* t t)
t
Outputs
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (sqrt.f64 (exp.f64 (*.f64 t t))))
(* (- (* x 1/2) y) (sqrt (* z 2)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(- (* x 1/2) y)
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
x
1/2
#s(literal 1/2 binary64)
y
(sqrt (* z 2))
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(* z 2)
(*.f64 z #s(literal 2 binary64))
z
2
#s(literal 2 binary64)
(exp (/ (* t t) 2))
(sqrt.f64 (exp.f64 (*.f64 t t)))
(/ (* t t) 2)
(/.f64 (*.f64 t t) #s(literal 2 binary64))
(* t t)
(*.f64 t t)
t

localize44.0ms (0.2%)

Memory
21.9MiB live, 102.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓accuracy100.0%
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
✓accuracy100.0%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
✓accuracy99.6%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
Samples
29.0ms256×0valid
Compiler

Compiled 64 to 17 computations (73.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 7.0ms (48.1% of total)
ival-div: 2.0ms (13.7% of total)
ival-exp: 2.0ms (13.7% of total)
ival-sqrt: 2.0ms (13.7% of total)
ival-sub: 1.0ms (6.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series20.0ms (0.1%)

Memory
8.1MiB live, 46.6MiB allocated
Counts
5 → 132
Calls
Call 1
Inputs
#<alt (exp (/ (* t t) 2))>
#<alt (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2)))>
#<alt (* (- (* x 1/2) y) (sqrt (* z 2)))>
#<alt (- (* x 1/2) y)>
#<alt (sqrt (* z 2))>
Outputs
#<alt 1>
#<alt (+ 1 (* 1/2 (pow t 2)))>
#<alt (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))>
#<alt (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))>
#<alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))>
#<alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))>
#<alt (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<alt (* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))>
#<alt (* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))>
#<alt (* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))>
#<alt (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))>
#<alt (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))>
#<alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))>
#<alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))>
#<alt (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<alt (* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))>
#<alt (* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))>
#<alt (* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))>
#<alt (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))>
#<alt (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))>
#<alt (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))>
#<alt (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))>
#<alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))>
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))>
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))>
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))>
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))>
#<alt (* -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))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))>
Calls

33 calls:

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

rewrite466.0ms (2.3%)

Memory
2.7MiB live, 594.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 922×accelerator-lowering-fma.f32
6 922×accelerator-lowering-fma.f64
4 292×/-lowering-/.f32
4 292×/-lowering-/.f64
3 846×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01540
15439
227639
3234339
0860639
Stop Event
1×iter limit
1×node limit
Counts
5 → 413
Calls
Call 1
Inputs
(exp (/ (* t t) 2))
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2)))
(* (- (* x 1/2) y) (sqrt (* z 2)))
(- (* x 1/2) y)
(sqrt (* z 2))
Outputs
(exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (*.f64 t t)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (*.f64 t (neg.f64 t)))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (E.f64)) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (exp.f64 (*.f64 t #s(literal 1/2 binary64)))) t))
(fabs.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
(sqrt.f64 (exp.f64 (*.f64 t t)))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 t t) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 t (neg.f64 t))))
(/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))))
(pow.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (exp.f64 (*.f64 t t)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 t) (*.f64 t #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 t) (+.f64 (/.f64 (*.f64 t #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 t #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 t t))
(pow.f64 (exp.f64 (*.f64 t (neg.f64 t))) #s(literal -1/2 binary64))
(pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (*.f64 t #s(literal 1/2 binary64))) t)
(pow.f64 (exp.f64 (*.f64 t #s(literal 1/2 binary64))) (neg.f64 (neg.f64 t)))
(pow.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal -1/2 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 1/2 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 t) #s(literal 1 binary64)) (*.f64 t #s(literal 1/2 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 t (neg.f64 t)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (neg.f64 t)) (neg.f64 t))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (neg.f64 (neg.f64 t))) t)
(pow.f64 (pow.f64 (E.f64) t) (*.f64 t #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (E.f64) #s(literal 1/2 binary64)) (*.f64 t t))
(pow.f64 (pow.f64 (E.f64) (*.f64 t (neg.f64 t))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (E.f64) #s(literal 1 binary64)) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (E.f64) #s(literal -1 binary64)) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 (E.f64) (neg.f64 t)) (/.f64 t #s(literal -2 binary64)))
(pow.f64 (pow.f64 (E.f64) (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 (E.f64) #s(literal -1/2 binary64)) (*.f64 t (neg.f64 t)))
(pow.f64 (pow.f64 (E.f64) (pow.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (E.f64) (*.f64 #s(literal 1 binary64) t)) (*.f64 t #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (E.f64) (*.f64 #s(literal 1 binary64) (*.f64 t (neg.f64 t)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (exp.f64 (*.f64 t #s(literal 1/2 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 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 (neg.f64 t)) (/.f64 t #s(literal -2 binary64)))
(pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (*.f64 t (neg.f64 t)))
(pow.f64 (exp.f64 (pow.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (*.f64 #s(literal 1 binary64) t)) (*.f64 t #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (*.f64 #s(literal 1 binary64) (*.f64 t (neg.f64 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 1/2 binary64)) #s(literal 2 binary64)))) (exp.f64 (*.f64 t (/.f64 (*.f64 t #s(literal 1/2 binary64)) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (sqrt.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (*.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (neg.f64 y)))
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (neg.f64 y)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (*.f64 x #s(literal 1/2 binary64))))
(+.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))))
(+.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))))
(fma.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y))))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))))
(fma.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (*.f64 x #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (neg.f64 y)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (neg.f64 y) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) (*.f64 y (*.f64 y y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) (*.f64 y (*.f64 y y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (neg.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) (*.f64 y (*.f64 y y)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) (neg.f64 (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y)))
(/.f64 (*.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))))) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(/.f64 (*.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y y)))) (fma.f64 x #s(literal 1/2 binary64) y))
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(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))))) (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 x #s(literal 1/2 binary64) y))) (*.f64 (*.f64 y (/.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (*.f64 y (/.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))) (neg.f64 (fma.f64 x (/.f64 (*.f64 x #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 y (/.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/512 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))))) (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))))) (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) (*.f64 y (*.f64 y y)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))) (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y y) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y))))
(/.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (-.f64 (*.f64 (neg.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))) (neg.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))))) (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (neg.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))))))))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)))) (pow.f64 (neg.f64 (*.f64 y (/.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 x #s(literal 1/2 binary64) y)) (-.f64 (*.f64 (neg.f64 (*.f64 y (/.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (neg.f64 (*.f64 y (/.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 x #s(literal 1/2 binary64) y)) (neg.f64 (*.f64 y (/.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 y (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 y (*.f64 x #s(literal 1/2 binary64))) (-.f64 y (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 0 binary64) (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 3 binary64)) (*.f64 y (*.f64 y y))) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) (fma.f64 y y (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(*.f64 (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))))
(*.f64 (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (fma.f64 x #s(literal 1/2 binary64) y)))
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))))
(*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y y)))
(*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y y)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y y)) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y y))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64))))) (fma.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)) (-.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))
(*.f64 (pow.f64 (/.f64 (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/512 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) (*.f64 y (*.f64 y y)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y y) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) z))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (log.f64 z) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 z) #s(literal 1/2 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
(pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)))

simplify1.0s (4.9%)

Memory
13.2MiB live, 609.9MiB allocated
Algorithm
1×egg-herbie
Rules
18 894×accelerator-lowering-fma.f32
18 894×accelerator-lowering-fma.f64
6 254×*-lowering-*.f32
6 254×*-lowering-*.f64
4 660×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01362087
14541608
215801515
344681512
088481500
Stop Event
1×iter limit
1×node limit
Counts
132 → 132
Calls
Call 1
Inputs
1
(+ 1 (* 1/2 (pow t 2)))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -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)))))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow t 2)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 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)))
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (neg.f64 y))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (neg.f64 y))))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (neg.f64 y))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(*.f64 (sqrt.f64 z) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal -2 binary64))) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(*.f64 (sqrt.f64 z) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal -2 binary64))) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(*.f64 (sqrt.f64 z) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal -2 binary64))) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(*.f64 (sqrt.f64 z) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal -2 binary64))) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))
(*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))))
(fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))))) (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(*.f64 (sqrt.f64 z) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64)))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(*.f64 (sqrt.f64 z) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64)))))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(*.f64 (sqrt.f64 z) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal -2 binary64))))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal -2 binary64))))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal -2 binary64))))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal -2 binary64))))))
(* -1 y)
(neg.f64 y)
(- (* 1/2 x) y)
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(- (* 1/2 x) y)
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(- (* 1/2 x) y)
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1 (/ y x))))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* x (+ 1/2 (* -1 (/ y x))))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* x (+ 1/2 (* -1 (/ y x))))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* -1 (* x (- (/ y x) 1/2)))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* -1 (* x (- (/ y x) 1/2)))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* -1 (* x (- (/ y x) 1/2)))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(+ (* -1 y) (* 1/2 x))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(+ (* -1 y) (* 1/2 x))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(+ (* -1 y) (* 1/2 x))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* -1 y)
(neg.f64 y)
(* y (- (* 1/2 (/ x y)) 1))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* y (- (* 1/2 (/ x y)) 1))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* y (- (* 1/2 (/ x y)) 1))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* (sqrt z) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))
(* (sqrt z) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))
(* (sqrt z) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))
(* (sqrt z) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))
(* (sqrt z) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))
(* (sqrt z) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))
(* (sqrt z) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))
(* (sqrt z) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal -2 binary64)))))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal -2 binary64)))))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal -2 binary64)))))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal -2 binary64)))))

eval297.0ms (1.5%)

Memory
-25.3MiB live, 131.4MiB allocated
Compiler

Compiled 20 165 to 1 669 computations (91.7% saved)

prune288.0ms (1.4%)

Memory
9.0MiB live, 128.8MiB allocated
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New53114545
Fresh000
Picked101
Done000
Total53214546
Accuracy
100.0%
Counts
546 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.2%
(fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))))) (*.f64 (sqrt.f64 z) (*.f64 (fma.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)))))
73.7%
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) (fma.f64 x #s(literal 1/2 binary64) y))
▶99.8%
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
99.7%
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) (*.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
▶99.8%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))
99.7%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
95.4%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
92.3%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
81.4%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
▶54.5%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
62.8%
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
▶93.6%
(*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))))
▶84.1%
(*.f64 (sqrt.f64 z) (*.f64 (fma.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))))
54.4%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
Compiler

Compiled 704 to 464 computations (34.1% saved)

simplify905.0ms (4.4%)

Memory
-13.0MiB live, 476.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 z (exp.f64 (*.f64 t t)))
✓cost-diff0
(*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))
✓cost-diff0
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))
✓cost-diff1088
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
✓cost-diff0
(sqrt.f64 z)
✓cost-diff0
(*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))))
✓cost-diff128
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))
✓cost-diff1344
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))
✓cost-diff0
(fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))
✓cost-diff0
(sqrt.f64 z)
✓cost-diff0
(*.f64 (sqrt.f64 z) (*.f64 (fma.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-diff128
(*.f64 (fma.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-diff0
(*.f64 x #s(literal 1/2 binary64))
✓cost-diff0
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
✓cost-diff0
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
✓cost-diff320
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
✓cost-diff0
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))
✓cost-diff0
(*.f64 x #s(literal 1/2 binary64))
✓cost-diff0
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
✓cost-diff0
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))
Rules
12 428×accelerator-lowering-fma.f32
12 428×accelerator-lowering-fma.f64
4 902×*-lowering-*.f32
4 902×*-lowering-*.f64
3 622×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038376
198376
2306362
31472362
42623362
54579362
08563348
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (- (* x 1/2) y) (sqrt (* 2 (* z (exp (* t t))))))
(- (* x 1/2) y)
(* x 1/2)
x
1/2
y
(sqrt (* 2 (* z (exp (* t t)))))
(* 2 (* z (exp (* t t))))
2
(* z (exp (* t t)))
z
(exp (* t t))
(* t t)
t
(* (* (- (* x 1/2) y) (sqrt (* z 2))) 1)
(* (- (* x 1/2) y) (sqrt (* z 2)))
(- (* x 1/2) y)
(* x 1/2)
x
1/2
y
(sqrt (* z 2))
(* z 2)
z
2
1
(* (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)
t
1
(* (sqrt 2) (- (* 1/2 x) y))
(sqrt 2)
2
(- (* 1/2 x) y)
(* 1/2 x)
x
y
(* (sqrt z) (+ (* (sqrt 2) (- (* 1/2 x) y)) (* (* t t) (* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* t (* t 1/8)) 1/2)))))
(sqrt z)
z
(+ (* (sqrt 2) (- (* 1/2 x) y)) (* (* t t) (* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* t (* t 1/8)) 1/2))))
(sqrt 2)
2
(- (* 1/2 x) y)
(* 1/2 x)
1/2
x
y
(* (* t t) (* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* t (* t 1/8)) 1/2)))
(* t t)
t
(* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* t (* t 1/8)) 1/2))
(* (sqrt 2) (- (* 1/2 x) y))
(+ (* t (* t 1/8)) 1/2)
(* t 1/8)
1/8
(/ (sqrt (* 2 (* z (exp (* t t))))) (/ 1 (- (* x 1/2) y)))
(sqrt (* 2 (* z (exp (* t t)))))
(* 2 (* z (exp (* t t))))
2
(* z (exp (* t t)))
z
(exp (* t t))
(* t t)
t
(/ 1 (- (* x 1/2) y))
1
(- (* x 1/2) y)
(* x 1/2)
x
1/2
y
Outputs
(* (- (* x 1/2) y) (sqrt (* 2 (* z (exp (* t t))))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))
(- (* x 1/2) y)
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
x
1/2
#s(literal 1/2 binary64)
y
(sqrt (* 2 (* z (exp (* t t)))))
(sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))
(* 2 (* z (exp (* t t))))
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))
2
#s(literal 2 binary64)
(* z (exp (* t t)))
(*.f64 z (exp.f64 (*.f64 t t)))
z
(exp (* t t))
(exp.f64 (*.f64 t t))
(* t t)
(*.f64 t t)
t
(* (* (- (* x 1/2) y) (sqrt (* z 2))) 1)
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(* (- (* x 1/2) y) (sqrt (* z 2)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(- (* x 1/2) y)
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
x
1/2
#s(literal 1/2 binary64)
y
(sqrt (* z 2))
(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
(* z 2)
(*.f64 #s(literal 2 binary64) z)
z
2
#s(literal 2 binary64)
1
#s(literal 1 binary64)
(* (sqrt z) (* (+ (* 1/2 (* t t)) 1) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) #s(literal -1/2 binary64) #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 (fma.f64 x #s(literal -1/2 binary64) y) (fma.f64 (*.f64 t t) #s(literal -1/2 binary64) #s(literal -1 binary64))))
(+ (* 1/2 (* t t)) 1)
(fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))
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
(* (sqrt z) (+ (* (sqrt 2) (- (* 1/2 x) y)) (* (* t t) (* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* t (* t 1/8)) 1/2)))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(sqrt z)
(sqrt.f64 z)
z
(+ (* (sqrt 2) (- (* 1/2 x) y)) (* (* t t) (* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* t (* t 1/8)) 1/2))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 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))
1/2
#s(literal 1/2 binary64)
x
y
(* (* t t) (* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* t (* t 1/8)) 1/2)))
(*.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (fma.f64 t (*.f64 t #s(literal -1/8 binary64)) #s(literal -1/2 binary64)))))
(* t t)
(*.f64 t t)
t
(* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* t (* t 1/8)) 1/2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (fma.f64 t (*.f64 t #s(literal -1/8 binary64)) #s(literal -1/2 binary64))))
(* (sqrt 2) (- (* 1/2 x) y))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))
(+ (* t (* t 1/8)) 1/2)
(fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(* t 1/8)
(*.f64 t #s(literal 1/8 binary64))
1/8
#s(literal 1/8 binary64)
(/ (sqrt (* 2 (* z (exp (* t t))))) (/ 1 (- (* x 1/2) y)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))
(sqrt (* 2 (* z (exp (* t t)))))
(sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))
(* 2 (* z (exp (* t t))))
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))
2
#s(literal 2 binary64)
(* z (exp (* t t)))
(*.f64 z (exp.f64 (*.f64 t t)))
z
(exp (* t t))
(exp.f64 (*.f64 t t))
(* t t)
(*.f64 t t)
t
(/ 1 (- (* x 1/2) y))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
1
#s(literal 1 binary64)
(- (* x 1/2) y)
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
x
1/2
#s(literal 1/2 binary64)
y

localize266.0ms (1.3%)

Memory
15.0MiB live, 299.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(exp.f64 (*.f64 t t))
✓accuracy100.0%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
✓accuracy99.8%
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
✓accuracy99.3%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
✓accuracy98.4%
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))
✓accuracy96.8%
(*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))))
✓accuracy89.9%
(*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy99.3%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
✓accuracy98.4%
(*.f64 (fma.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)))
✓accuracy96.4%
(*.f64 (sqrt.f64 z) (*.f64 (fma.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))))
✓accuracy100.0%
(*.f64 z #s(literal 2 binary64))
✓accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
✓accuracy100.0%
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓accuracy99.6%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))
✓accuracy100.0%
(exp.f64 (*.f64 t t))
✓accuracy100.0%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))
✓accuracy99.8%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))
Samples
79.0ms256×0valid
Compiler

Compiled 372 to 40 computations (89.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-mult: 33.0ms (64.3% of total)
ival-sqrt: 7.0ms (13.6% of total)
ival-div: 3.0ms (5.8% of total)
ival-add: 3.0ms (5.8% of total)
ival-sub: 3.0ms (5.8% of total)
ival-exp: 2.0ms (3.9% of total)
exact: 1.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series109.0ms (0.5%)

Memory
-14.4MiB live, 102.2MiB allocated
Counts
23 → 624
Calls
Call 1
Inputs
#<alt (* (- (* x 1/2) y) (sqrt (* 2 (* z (exp (* t t))))))>
#<alt (- (* x 1/2) y)>
#<alt (* x 1/2)>
#<alt (sqrt (* 2 (* z (exp (* t t)))))>
#<alt (* (* (- (* x 1/2) y) (sqrt (* z 2))) 1)>
#<alt (* (- (* x 1/2) y) (sqrt (* z 2)))>
#<alt (* (+ (* 1/2 (* t t)) 1) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (+ (* 1/2 (* t t)) 1) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (sqrt z)>
#<alt (+ (* 1/2 (* t t)) 1)>
#<alt (+ (* (sqrt 2) (- (* 1/2 x) y)) (* (* t t) (* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* t (* t 1/8)) 1/2))))>
#<alt (* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* t (* t 1/8)) 1/2))>
#<alt (* (sqrt z) (+ (* (sqrt 2) (- (* 1/2 x) y)) (* (* t t) (* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* t (* t 1/8)) 1/2)))))>
#<alt (/ (sqrt (* 2 (* z (exp (* t t))))) (/ 1 (- (* x 1/2) y)))>
#<alt (* 2 (* z (exp (* t t))))>
#<alt (* z (exp (* t t)))>
#<alt (exp (* t t))>
#<alt (sqrt (* z 2))>
#<alt (* z 2)>
#<alt (* (sqrt 2) (- (* 1/2 x) y))>
#<alt (sqrt 2)>
#<alt (* (* t t) (* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* t (* t 1/8)) 1/2)))>
#<alt (/ 1 (- (* x 1/2) y))>
Outputs
#<alt (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))>
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))>
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))>
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))>
#<alt (* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))>
#<alt (* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))>
#<alt (* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))>
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))>
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))>
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z))))) (sqrt (/ 1 z)))))))>
#<alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z)))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))) (- (* 1/2 x) y)))) (sqrt (/ 1 z)))))))))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
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#<alt (* (pow t 4) (+ (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z)))))>
#<alt (* (pow t 4) (+ (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z)))))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))>
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))>
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))>
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z))))) (sqrt (/ 1 z)))))))>
#<alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z)))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))) (- (* 1/2 x) y)))) (sqrt (/ 1 z)))))))))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* -1 (* (* y (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 (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 z)>
#<alt (+ (* 2 z) (* 2 (* (pow t 2) z)))>
#<alt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) z))))>
#<alt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (+ z (* 1/3 (* (pow t 2) z)))))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* z (exp (pow t 2)))>
#<alt (* z (exp (pow t 2)))>
#<alt (* z (exp (pow t 2)))>
#<alt (* z (exp (pow t 2)))>
#<alt (* z (exp (pow t 2)))>
#<alt (* z (exp (pow t 2)))>
#<alt (* z (exp (pow t 2)))>
#<alt (* z (exp (pow t 2)))>
#<alt (* z (exp (pow t 2)))>
#<alt (* z (exp (pow t 2)))>
#<alt (* z (exp (pow t 2)))>
#<alt (* z (exp (pow t 2)))>
#<alt z>
#<alt (+ z (* (pow t 2) z))>
#<alt (+ z (* (pow t 2) (+ z (* 1/2 (* (pow t 2) z)))))>
#<alt (+ z (* (pow t 2) (+ z (* (pow t 2) (+ (* 1/6 (* (pow t 2) z)) (* 1/2 z))))))>
#<alt (* z (exp (pow t 2)))>
#<alt (* z (exp (pow t 2)))>
#<alt (* z (exp (pow t 2)))>
#<alt (* z (exp (pow t 2)))>
#<alt (* z (exp (pow t 2)))>
#<alt (* z (exp (pow t 2)))>
#<alt (* z (exp (pow t 2)))>
#<alt (* z (exp (pow t 2)))>
#<alt 1>
#<alt (+ 1 (pow t 2))>
#<alt (+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2)))))>
#<alt (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))>
#<alt (exp (pow t 2))>
#<alt (exp (pow t 2))>
#<alt (exp (pow t 2))>
#<alt (exp (pow t 2))>
#<alt (exp (pow t 2))>
#<alt (exp (pow t 2))>
#<alt (exp (pow t 2))>
#<alt (exp (pow t 2))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* -1 (* 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) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (pow t 2) (+ (* 1/8 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (sqrt 2) (- (* 1/2 x) y)))))>
#<alt (* (pow t 2) (+ (* 1/8 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (sqrt 2) (- (* 1/2 x) y)))))>
#<alt (* (pow t 2) (+ (* 1/8 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (sqrt 2) (- (* 1/2 x) y)))))>
#<alt (* 1/8 (* (pow t 4) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (pow t 4) (+ (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/2 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))))>
#<alt (* (pow t 4) (+ (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/2 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))))>
#<alt (* (pow t 4) (+ (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/2 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))))>
#<alt (* 1/8 (* (pow t 4) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (pow t 4) (+ (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/2 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))))>
#<alt (* (pow t 4) (+ (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/2 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))))>
#<alt (* (pow t 4) (+ (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/2 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))))>
#<alt (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))>
#<alt (+ (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))) (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))))>
#<alt (+ (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))) (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))))>
#<alt (+ (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))) (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))))>
#<alt (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))>
#<alt (* x (+ (* -1 (/ (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) x)) (* 1/2 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))))>
#<alt (* x (+ (* -1 (/ (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) x)) (* 1/2 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))))>
#<alt (* x (+ (* -1 (/ (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) x)) (* 1/2 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))))>
#<alt (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))>
#<alt (* -1 (* x (+ (* -1/2 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) (/ (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) x))))>
#<alt (* -1 (* x (+ (* -1/2 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) (/ (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) x))))>
#<alt (* -1 (* x (+ (* -1/2 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) (/ (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) x))))>
#<alt (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))>
#<alt (+ (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))) (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))))>
#<alt (+ (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))) (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))))>
#<alt (+ (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))) (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))))>
#<alt (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))>
#<alt (* y (+ (* -1 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) (* 1/2 (/ (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) y))))>
#<alt (* y (+ (* -1 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) (* 1/2 (/ (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) y))))>
#<alt (* y (+ (* -1 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) (* 1/2 (/ (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) y))))>
#<alt (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))>
#<alt (* -1 (* y (+ (* -1/2 (/ (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) y)) (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))))>
#<alt (* -1 (* y (+ (* -1/2 (/ (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) y)) (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))))>
#<alt (* -1 (* y (+ (* -1/2 (/ (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) y)) (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))))>
#<alt (/ -1 y)>
#<alt (- (* -1/2 (/ x (pow y 2))) (/ 1 y))>
#<alt (- (* x (- (* -1/4 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))>
#<alt (- (* x (- (* x (- (* -1/8 (/ x (pow y 4))) (* 1/4 (/ 1 (pow y 3))))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))>
#<alt (/ 2 x)>
#<alt (/ (+ 2 (* 4 (/ y x))) x)>
#<alt (/ (- (+ 2 (* 8 (/ (pow y 2) (pow x 2)))) (* -4 (/ y x))) x)>
#<alt (/ (- (+ 2 (* 16 (/ (pow y 3) (pow x 3)))) (+ (* -8 (/ (pow y 2) (pow x 2))) (* -4 (/ y x)))) x)>
#<alt (/ 2 x)>
#<alt (* -1 (/ (- (* -4 (/ y x)) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow y 2) x)) (* -4 y)) x)) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -16 (/ (pow y 3) x)) (* 8 (pow y 2))) x)) (* -4 y)) x)) 2) x))>
#<alt (/ 2 x)>
#<alt (+ (* 4 (/ y (pow x 2))) (* 2 (/ 1 x)))>
#<alt (+ (* y (+ (* 8 (/ y (pow x 3))) (* 4 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))>
#<alt (+ (* y (+ (* y (+ (* 16 (/ y (pow x 4))) (* 8 (/ 1 (pow x 3))))) (* 4 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))>
#<alt (/ -1 y)>
#<alt (/ (- (* -1/2 (/ x y)) 1) y)>
#<alt (/ (- (* -1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* 1/2 (/ x y)))) y)>
#<alt (/ (- (* -1/8 (/ (pow x 3) (pow y 3))) (+ 1 (+ (* 1/4 (/ (pow x 2) (pow y 2))) (* 1/2 (/ x y))))) y)>
#<alt (/ -1 y)>
#<alt (* -1 (/ (+ 1 (* 1/2 (/ x y))) y))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1/4 (/ (pow x 2) y)) (* 1/2 x)) y))) y))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow x 3) y)) (* -1/4 (pow x 2))) y)) (* 1/2 x)) y))) y))>
Calls

156 calls:

TimeVariablePointExpression
30.0ms
t
@0
(* (- (* x 1/2) y) (sqrt (* 2 (* z (exp (* t t))))))
6.0ms
t
@0
(* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* t (* t 1/8)) 1/2))
3.0ms
y
@-inf
(+ (* (sqrt 2) (- (* 1/2 x) y)) (* (* t t) (* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* t (* t 1/8)) 1/2))))
1.0ms
z
@0
(* (sqrt z) (+ (* (sqrt 2) (- (* 1/2 x) y)) (* (* t t) (* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* t (* t 1/8)) 1/2)))))
1.0ms
x
@-inf
(+ (* (sqrt 2) (- (* 1/2 x) y)) (* (* t t) (* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* t (* t 1/8)) 1/2))))

rewrite485.0ms (2.4%)

Memory
10.9MiB live, 1 068.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
7 696×accelerator-lowering-fma.f32
7 696×accelerator-lowering-fma.f64
5 756×*-lowering-*.f32
5 756×*-lowering-*.f64
2 890×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038250
1184249
21239249
08325239
Stop Event
1×iter limit
1×node limit
Counts
23 → 1 173
Calls
Call 1
Inputs
(* (- (* x 1/2) y) (sqrt (* 2 (* z (exp (* t t))))))
(- (* x 1/2) y)
(* x 1/2)
(sqrt (* 2 (* z (exp (* t t)))))
(* (* (- (* x 1/2) y) (sqrt (* z 2))) 1)
(* (- (* x 1/2) y) (sqrt (* z 2)))
(* (+ (* 1/2 (* t t)) 1) (* (sqrt 2) (- (* 1/2 x) y)))
(* (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)) (* (* t t) (* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* t (* t 1/8)) 1/2))))
(* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* t (* t 1/8)) 1/2))
(* (sqrt z) (+ (* (sqrt 2) (- (* 1/2 x) y)) (* (* t t) (* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* t (* t 1/8)) 1/2)))))
(/ (sqrt (* 2 (* z (exp (* t t))))) (/ 1 (- (* x 1/2) y)))
(* 2 (* z (exp (* t t))))
(* z (exp (* t t)))
(exp (* t t))
(sqrt (* z 2))
(* z 2)
(* (sqrt 2) (- (* 1/2 x) y))
(sqrt 2)
(* (* t t) (* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* t (* t 1/8)) 1/2)))
(/ 1 (- (* x 1/2) y))
Outputs
(+.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)))
(+.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (*.f64 x #s(literal 1/2 binary64))))
(+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))
(+.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (neg.f64 y))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))))
(+.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (*.f64 x #s(literal -1/2 binary64))) (*.f64 (neg.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) y))
(+.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (*.f64 y (neg.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal -1/2 binary64) y)))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) #s(literal 1/2 binary64)) (*.f64 (log.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal -1/2 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) y))) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal -1/2 binary64) y)))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))
(fma.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (*.f64 x #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)))
(fma.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (neg.f64 y) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (neg.f64 y))))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (*.f64 x #s(literal -1/2 binary64)) (*.f64 (neg.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) y))
(fma.f64 (neg.f64 y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (*.f64 y (neg.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) #s(literal 1 binary64)))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal -1/2 binary64) y)))
(neg.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal -1/2 binary64) y)) #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal -1/2 binary64) y)))))
(/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))
(/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal -1/2 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.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 #s(literal 2 binary64) z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y y)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))))
(/.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal -1/2 binary64) y))))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) y)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y)))) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y y))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal -1/2 binary64) y)) #s(literal -1 binary64))
(/.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 #s(literal 2 binary64) z)))) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y y)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y y)))) (fma.f64 x #s(literal -1/2 binary64) (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (neg.f64 (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(/.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 #s(literal 2 binary64) z))))) (fma.f64 x #s(literal -1/2 binary64) (neg.f64 y)))
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (*.f64 x #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (neg.f64 y))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (neg.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (-.f64 (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))))))
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(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))
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(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
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(*.f64 (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y y)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))
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simplify621.0ms (3%)

Memory
-9.1MiB live, 1 079.1MiB allocated
Algorithm
1×egg-herbie
Rules
13 230×accelerator-lowering-fma.f32
13 230×accelerator-lowering-fma.f64
7 826×*-lowering-*.f32
7 826×*-lowering-*.f64
3 490×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057012895
1198711505
2713211445
0832310880
Stop Event
1×iter limit
1×node limit
Counts
624 → 624
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)))))))
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(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
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(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (+ z (* 1/3 (* (pow t 2) z)))))))
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(* z (exp (pow t 2)))
(* z (exp (pow t 2)))
(* z (exp (pow t 2)))
z
(+ z (* (pow t 2) z))
(+ z (* (pow t 2) (+ z (* 1/2 (* (pow t 2) z)))))
(+ z (* (pow t 2) (+ z (* (pow t 2) (+ (* 1/6 (* (pow t 2) z)) (* 1/2 z))))))
(* z (exp (pow t 2)))
(* z (exp (pow t 2)))
(* z (exp (pow t 2)))
(* z (exp (pow t 2)))
(* z (exp (pow t 2)))
(* z (exp (pow t 2)))
(* z (exp (pow t 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))
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(exp (pow t 2))
(* (sqrt z) (sqrt 2))
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(* (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)
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(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
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(* -1 (* y (sqrt 2)))
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(+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2))))
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(* x (+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (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))))
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(* -1 (* y (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y)))))
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(* -1 (* y (+ (* -1/2 (/ (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) y)) (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))))
(/ -1 y)
(- (* -1/2 (/ x (pow y 2))) (/ 1 y))
(- (* x (- (* -1/4 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))
(- (* x (- (* x (- (* -1/8 (/ x (pow y 4))) (* 1/4 (/ 1 (pow y 3))))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))
(/ 2 x)
(/ (+ 2 (* 4 (/ y x))) x)
(/ (- (+ 2 (* 8 (/ (pow y 2) (pow x 2)))) (* -4 (/ y x))) x)
(/ (- (+ 2 (* 16 (/ (pow y 3) (pow x 3)))) (+ (* -8 (/ (pow y 2) (pow x 2))) (* -4 (/ y x)))) x)
(/ 2 x)
(* -1 (/ (- (* -4 (/ y x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow y 2) x)) (* -4 y)) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -16 (/ (pow y 3) x)) (* 8 (pow y 2))) x)) (* -4 y)) x)) 2) x))
(/ 2 x)
(+ (* 4 (/ y (pow x 2))) (* 2 (/ 1 x)))
(+ (* y (+ (* 8 (/ y (pow x 3))) (* 4 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))
(+ (* y (+ (* y (+ (* 16 (/ y (pow x 4))) (* 8 (/ 1 (pow x 3))))) (* 4 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))
(/ -1 y)
(/ (- (* -1/2 (/ x y)) 1) y)
(/ (- (* -1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* 1/2 (/ x y)))) y)
(/ (- (* -1/8 (/ (pow x 3) (pow y 3))) (+ 1 (+ (* 1/4 (/ (pow x 2) (pow y 2))) (* 1/2 (/ x y))))) y)
(/ -1 y)
(* -1 (/ (+ 1 (* 1/2 (/ x y))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1/4 (/ (pow x 2) y)) (* 1/2 x)) y))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow x 3) y)) (* -1/4 (pow x 2))) y)) (* 1/2 x)) y))) y))
Outputs
(* -1 (* (* y (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)) (neg.f64 y)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
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(+ (* -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)))))))
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(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
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(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
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(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
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(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
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(* 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))))))))
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(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (fma.f64 y #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 y y) #s(literal 8 binary64)) x)) x)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -16 (/ (pow y 3) x)) (* 8 (pow y 2))) x)) (* -4 y)) x)) 2) x))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (*.f64 y #s(literal 4 binary64)) (/.f64 (fma.f64 (*.f64 y y) #s(literal -8 binary64) (*.f64 #s(literal -16 binary64) (/.f64 (*.f64 y (*.f64 y y)) x))) x)) x)) (neg.f64 x))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(+ (* 4 (/ y (pow x 2))) (* 2 (/ 1 x)))
(fma.f64 y (/.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) x))
(+ (* y (+ (* 8 (/ y (pow x 3))) (* 4 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))
(fma.f64 y (fma.f64 y (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 4 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) x))
(+ (* y (+ (* y (+ (* 16 (/ y (pow x 4))) (* 8 (/ 1 (pow x 3))))) (* 4 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal 16 binary64) (/.f64 y (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 4 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) x))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ (- (* -1/2 (/ x y)) 1) y)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) #s(literal -1 binary64)) y)
(/ (- (* -1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* 1/2 (/ x y)))) y)
(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x (/.f64 x y)) (*.f64 x #s(literal -1/2 binary64))) y) #s(literal -1 binary64)) y)
(/ (- (* -1/8 (/ (pow x 3) (pow y 3))) (+ 1 (+ (* 1/4 (/ (pow x 2) (pow y 2))) (* 1/2 (/ x y))))) y)
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1 binary64)))) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* -1 (/ (+ 1 (* 1/2 (/ x y))) y))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1 binary64)) y))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1/4 (/ (pow x 2) y)) (* 1/2 x)) y))) y))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x (/.f64 x y)) (*.f64 x #s(literal -1/2 binary64))) y)) (neg.f64 y))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow x 3) y)) (* -1/4 (pow x 2))) y)) (* 1/2 x)) y))) y))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (/.f64 x y))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) y) (*.f64 #s(literal 1/2 binary64) x)) y)) (neg.f64 y))

eval341.0ms (1.7%)

Memory
30.2MiB live, 605.6MiB allocated
Compiler

Compiled 71 471 to 4 187 computations (94.1% saved)

prune287.0ms (1.4%)

Memory
26.9MiB live, 743.2MiB allocated
Pruning

27 alts after pruning (27 fresh and 0 done)

PrunedKeptTotal
New2 260252 285
Fresh729
Picked505
Done000
Total2 272272 299
Accuracy
100.0%
Counts
2 299 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.7%
(/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))
48.6%
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal 1/2 binary64) y))
22.3%
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))
54.5%
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y)))
81.4%
(*.f64 (fma.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 #s(literal 2 binary64) z))))
▶54.4%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
88.6%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 t t) (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) z))))
84.1%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z))))
54.5%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
▶52.7%
(*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y)) (fma.f64 x #s(literal -1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
54.4%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
95.4%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
92.3%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
54.4%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
48.8%
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
52.4%
(*.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
53.3%
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
24.9%
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
24.5%
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
▶32.2%
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
63.2%
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))
84.1%
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
51.1%
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y))))
48.1%
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 t t) (*.f64 t t)))))
32.1%
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y)))
65.9%
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))
▶51.1%
(neg.f64 (*.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
Compiler

Compiled 1 066 to 782 computations (26.6% saved)

simplify302.0ms (1.5%)

Memory
-37.0MiB live, 352.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y))
✓cost-diff0
(*.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y)) (fma.f64 x #s(literal -1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
✓cost-diff320
(*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y)) (fma.f64 x #s(literal -1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
✓cost-diff1792
(/.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y)) (fma.f64 x #s(literal -1/2 binary64) (neg.f64 y)))
✓cost-diff0
(sqrt.f64 #s(literal 2 binary64))
✓cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64))))
✓cost-diff0
(*.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
✓cost-diff128
(neg.f64 (*.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
✓cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))
✓cost-diff0
(*.f64 x #s(literal 1/2 binary64))
✓cost-diff0
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
✓cost-diff0
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
✓cost-diff0
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓cost-diff0
(neg.f64 y)
✓cost-diff0
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
✓cost-diff320
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))
✓cost-diff0
(*.f64 x #s(literal 1/2 binary64))
✓cost-diff0
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
✓cost-diff1088
(/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))
Rules
7 696×accelerator-lowering-fma.f32
7 696×accelerator-lowering-fma.f64
4 148×*-lowering-*.f32
4 148×*-lowering-*.f64
1 482×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041295
1109293
2323293
31257292
42899268
54602266
67428266
08061259
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (- (* x 1/2) y) (/ 1 (sqrt (* (exp (* t t)) (* 2 z)))))
(- (* x 1/2) y)
(* x 1/2)
x
1/2
y
(/ 1 (sqrt (* (exp (* t t)) (* 2 z))))
1
(sqrt (* (exp (* t t)) (* 2 z)))
(* (exp (* t t)) (* 2 z))
(exp (* t t))
(* t t)
t
(* 2 z)
2
z
(* (* (neg y) (sqrt (* z 2))) 1)
(* (neg y) (sqrt (* z 2)))
(neg y)
y
(sqrt (* z 2))
(* z 2)
z
2
1
(* (- (* x 1/2) y) (* (sqrt 2) (sqrt z)))
(- (* x 1/2) y)
(* x 1/2)
x
1/2
y
(* (sqrt 2) (sqrt z))
(sqrt 2)
2
(sqrt z)
z
(neg (* y (* (sqrt 2) (* (sqrt z) (+ (* t (* t 1/2)) 1)))))
(* y (* (sqrt 2) (* (sqrt z) (+ (* t (* t 1/2)) 1))))
y
(* (sqrt 2) (* (sqrt z) (+ (* t (* t 1/2)) 1)))
(sqrt 2)
2
(* (sqrt z) (+ (* t (* t 1/2)) 1))
(sqrt z)
z
(+ (* t (* t 1/2)) 1)
t
(* t 1/2)
1/2
1
(* (* (/ (* (+ (* x 1/2) y) (+ (* x -1/2) y)) (+ (* x -1/2) (neg y))) (sqrt (* z 2))) 1)
(* (/ (* (+ (* x 1/2) y) (+ (* x -1/2) y)) (+ (* x -1/2) (neg y))) (sqrt (* z 2)))
(/ (* (+ (* x 1/2) y) (+ (* x -1/2) y)) (+ (* x -1/2) (neg y)))
(* (+ (* x 1/2) y) (+ (* x -1/2) y))
(+ (* x 1/2) y)
x
1/2
y
(+ (* x -1/2) y)
-1/2
(+ (* x -1/2) (neg y))
(neg y)
(sqrt (* z 2))
(* z 2)
z
2
1
Outputs
(/ (- (* x 1/2) y) (/ 1 (sqrt (* (exp (* t t)) (* 2 z)))))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))
(- (* x 1/2) y)
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
x
1/2
#s(literal 1/2 binary64)
y
(/ 1 (sqrt (* (exp (* t t)) (* 2 z))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))
1
#s(literal 1 binary64)
(sqrt (* (exp (* t t)) (* 2 z)))
(sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))
(* (exp (* t t)) (* 2 z))
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))
(exp (* t t))
(exp.f64 (*.f64 t t))
(* t t)
(*.f64 t t)
t
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
2
#s(literal 2 binary64)
z
(* (* (neg y) (sqrt (* z 2))) 1)
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(* (neg y) (sqrt (* z 2)))
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(neg y)
(neg.f64 y)
y
(sqrt (* z 2))
(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
(* z 2)
(*.f64 #s(literal 2 binary64) z)
z
2
#s(literal 2 binary64)
1
#s(literal 1 binary64)
(* (- (* x 1/2) y) (* (sqrt 2) (sqrt z)))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(- (* x 1/2) y)
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
x
1/2
#s(literal 1/2 binary64)
y
(* (sqrt 2) (sqrt z))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(sqrt z)
(sqrt.f64 z)
z
(neg (* y (* (sqrt 2) (* (sqrt z) (+ (* t (* t 1/2)) 1)))))
(*.f64 (fma.f64 t (*.f64 t #s(literal -1/2 binary64)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z))))
(* y (* (sqrt 2) (* (sqrt z) (+ (* t (* t 1/2)) 1))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 z))))
y
(* (sqrt 2) (* (sqrt z) (+ (* t (* t 1/2)) 1)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* (sqrt z) (+ (* t (* t 1/2)) 1))
(*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
(sqrt z)
(sqrt.f64 z)
z
(+ (* t (* t 1/2)) 1)
(fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))
t
(* t 1/2)
(*.f64 #s(literal 1/2 binary64) t)
1/2
#s(literal 1/2 binary64)
1
#s(literal 1 binary64)
(* (* (/ (* (+ (* x 1/2) y) (+ (* x -1/2) y)) (+ (* x -1/2) (neg y))) (sqrt (* z 2))) 1)
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(* (/ (* (+ (* x 1/2) y) (+ (* x -1/2) y)) (+ (* x -1/2) (neg y))) (sqrt (* z 2)))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(/ (* (+ (* x 1/2) y) (+ (* x -1/2) y)) (+ (* x -1/2) (neg y)))
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))
(* (+ (* x 1/2) y) (+ (* x -1/2) y))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y))
(+ (* x 1/2) y)
(fma.f64 x #s(literal 1/2 binary64) y)
x
1/2
#s(literal 1/2 binary64)
y
(+ (* x -1/2) y)
(fma.f64 x #s(literal -1/2 binary64) y)
-1/2
#s(literal -1/2 binary64)
(+ (* x -1/2) (neg y))
(fma.f64 x #s(literal -1/2 binary64) (neg.f64 y))
(neg y)
(neg.f64 y)
(sqrt (* z 2))
(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
(* z 2)
(*.f64 #s(literal 2 binary64) z)
z
2
#s(literal 2 binary64)
1
#s(literal 1 binary64)

localize194.0ms (1%)

Memory
-6.0MiB live, 225.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓accuracy100.0%
(neg.f64 y)
✓accuracy99.8%
(*.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y)) (fma.f64 x #s(literal -1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
✓accuracy77.4%
(/.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y)) (fma.f64 x #s(literal -1/2 binary64) (neg.f64 y)))
✓accuracy100.0%
(neg.f64 (*.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
✓accuracy100.0%
(*.f64 (sqrt.f64 z) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓accuracy99.8%
(*.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
✓accuracy99.7%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64))))
✓accuracy100.0%
(sqrt.f64 z)
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy99.8%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
✓accuracy99.7%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))
✓accuracy100.0%
(*.f64 z #s(literal 2 binary64))
✓accuracy100.0%
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓accuracy100.0%
(neg.f64 y)
✓accuracy99.8%
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
✓accuracy100.0%
(exp.f64 (*.f64 t t))
✓accuracy100.0%
(sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))
✓accuracy99.8%
(/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))
Samples
41.0ms130×0exit
40.0ms126×0valid
Compiler

Compiled 298 to 43 computations (85.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-mult: 24.0ms (44.1% of total)
ival-sqrt: 8.0ms (14.7% of total)
ival-neg: 8.0ms (14.7% of total)
ival-add: 6.0ms (11% of total)
ival-div: 4.0ms (7.3% of total)
ival-exp: 2.0ms (3.7% of total)
ival-sub: 1.0ms (1.8% of total)
exact: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series67.0ms (0.3%)

Memory
25.3MiB live, 62.8MiB allocated
Counts
23 → 528
Calls
Call 1
Inputs
#<alt (/ (- (* x 1/2) y) (/ 1 (sqrt (* (exp (* t t)) (* 2 z)))))>
#<alt (- (* x 1/2) y)>
#<alt (* x 1/2)>
#<alt (/ 1 (sqrt (* (exp (* t t)) (* 2 z))))>
#<alt (* (* (neg y) (sqrt (* z 2))) 1)>
#<alt (* (neg y) (sqrt (* z 2)))>
#<alt (neg y)>
#<alt (sqrt (* z 2))>
#<alt (* (- (* x 1/2) y) (* (sqrt 2) (sqrt z)))>
#<alt (* (sqrt 2) (sqrt z))>
#<alt (neg (* y (* (sqrt 2) (* (sqrt z) (+ (* t (* t 1/2)) 1)))))>
#<alt (* y (* (sqrt 2) (* (sqrt z) (+ (* t (* t 1/2)) 1))))>
#<alt (* (sqrt 2) (* (sqrt z) (+ (* t (* t 1/2)) 1)))>
#<alt (sqrt 2)>
#<alt (/ (* (+ (* x 1/2) y) (+ (* x -1/2) y)) (+ (* x -1/2) (neg y)))>
#<alt (* (* (/ (* (+ (* x 1/2) y) (+ (* x -1/2) y)) (+ (* x -1/2) (neg y))) (sqrt (* z 2))) 1)>
#<alt (* (/ (* (+ (* x 1/2) y) (+ (* x -1/2) y)) (+ (* x -1/2) (neg y))) (sqrt (* z 2)))>
#<alt (* (+ (* x 1/2) y) (+ (* x -1/2) y))>
#<alt (sqrt (* (exp (* t t)) (* 2 z)))>
#<alt (exp (* t t))>
#<alt (* z 2)>
#<alt (sqrt z)>
#<alt (* (sqrt z) (+ (* t (* t 1/2)) 1))>
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 (/ 1 z)) (/ 1 (sqrt 2)))>
#<alt (+ (* -1/2 (* (/ (pow t 2) (sqrt 2)) (sqrt (/ 1 z)))) (* (sqrt (/ 1 z)) (/ 1 (sqrt 2))))>
#<alt (+ (* (sqrt (/ 1 z)) (/ 1 (sqrt 2))) (* (pow t 2) (+ (* -1/2 (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) (* 1/8 (* (/ (pow t 2) (sqrt 2)) (sqrt (/ 1 z)))))))>
#<alt (+ (* (sqrt (/ 1 z)) (/ 1 (sqrt 2))) (* (pow t 2) (+ (* -1/2 (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) (* (pow t 2) (+ (* -1/48 (* (/ (pow t 2) (sqrt 2)) (sqrt (/ 1 z)))) (* 1/8 (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))))))))>
#<alt (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))>
#<alt (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))>
#<alt (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))>
#<alt (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))>
#<alt (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))>
#<alt (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))>
#<alt (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))>
#<alt (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))>
#<alt (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))>
#<alt (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))>
#<alt (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))>
#<alt (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))>
#<alt (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))>
#<alt (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))>
#<alt (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))>
#<alt (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))>
#<alt (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ (sqrt -1) (sqrt -2)))>
#<alt (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ (sqrt -1) (sqrt -2)))>
#<alt (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ (sqrt -1) (sqrt -2)))>
#<alt (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ (sqrt -1) (sqrt -2)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* (* y (* (sqrt -2) (sqrt -1))) (sqrt z))>
#<alt (* (* y (* (sqrt -2) (sqrt -1))) (sqrt z))>
#<alt (* (* y (* (sqrt -2) (sqrt -1))) (sqrt z))>
#<alt (* (* y (* (sqrt -2) (sqrt -1))) (sqrt z))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* (* y (* (sqrt -2) (sqrt -1))) (sqrt z))>
#<alt (* (* y (* (sqrt -2) (sqrt -1))) (sqrt z))>
#<alt (* (* y (* (sqrt -2) (sqrt -1))) (sqrt z))>
#<alt (* (* y (* (sqrt -2) (sqrt -1))) (sqrt z))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 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 (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))>
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))>
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))>
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))>
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (- (* 1/2 x) y)))))>
#<alt (* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (- (* 1/2 x) y)))))>
#<alt (* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (- (* 1/2 x) y)))))>
#<alt (* -1 (* (sqrt z) (* (pow (sqrt -1) 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) (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))>
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))>
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))>
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))>
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))>
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))>
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))>
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))>
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))>
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))>
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))>
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))>
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))>
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))>
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))>
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))>
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))>
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))>
#<alt (* -1 (* (* y (* (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 (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (sqrt z))>
#<alt (* (* y (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (sqrt z))>
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#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* (/ (- (* -1 (* (sqrt 2) (+ (* -1/2 x) (* 1/2 x)))) (* -1/2 (* x (sqrt 2)))) y) (sqrt z))))>
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (+ (* (/ (- (* -1 (* (sqrt 2) (+ (* -1/2 x) (* 1/2 x)))) (* -1/2 (* x (sqrt 2)))) y) (sqrt z)) (* (/ (- (* 1/4 (* (pow x 2) (sqrt 2))) (* 1/2 (* x (- (* -1 (* (sqrt 2) (+ (* -1/2 x) (* 1/2 x)))) (* -1/2 (* x (sqrt 2))))))) (pow y 2)) (sqrt z)))))>
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (+ (* -1/2 (* (/ (* x (- (* 1/4 (* (pow x 2) (sqrt 2))) (* 1/2 (* x (- (* -1 (* (sqrt 2) (+ (* -1/2 x) (* 1/2 x)))) (* -1/2 (* x (sqrt 2)))))))) (pow y 3)) (sqrt z))) (+ (* (/ (- (* -1 (* (sqrt 2) (+ (* -1/2 x) (* 1/2 x)))) (* -1/2 (* x (sqrt 2)))) y) (sqrt z)) (* (/ (- (* 1/4 (* (pow x 2) (sqrt 2))) (* 1/2 (* x (- (* -1 (* (sqrt 2) (+ (* -1/2 x) (* 1/2 x)))) (* -1/2 (* x (sqrt 2))))))) (pow y 2)) (sqrt z))))))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* y (+ (* -1 (* (/ (- (* (sqrt 2) (+ (* -1/2 x) (* 1/2 x))) (* -1/2 (* x (sqrt 2)))) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))>
#<alt (* -1 (* y (+ (* -1 (/ (+ (* -1 (* (/ (- (* -1/4 (* (pow x 2) (sqrt 2))) (* -1/2 (* x (- (* (sqrt 2) (+ (* -1/2 x) (* 1/2 x))) (* -1/2 (* x (sqrt 2))))))) y) (sqrt z))) (* (sqrt z) (- (* (sqrt 2) (+ (* -1/2 x) (* 1/2 x))) (* -1/2 (* x (sqrt 2)))))) y)) (* (sqrt z) (sqrt 2)))))>
#<alt (* -1 (* y (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (/ (* x (- (* -1/4 (* (pow x 2) (sqrt 2))) (* -1/2 (* x (- (* (sqrt 2) (+ (* -1/2 x) (* 1/2 x))) (* -1/2 (* x (sqrt 2)))))))) y) (sqrt z))) (* (sqrt z) (- (* -1/4 (* (pow x 2) (sqrt 2))) (* -1/2 (* x (- (* (sqrt 2) (+ (* -1/2 x) (* 1/2 x))) (* -1/2 (* x (sqrt 2))))))))) y)) (* (sqrt z) (- (* (sqrt 2) (+ (* -1/2 x) (* 1/2 x))) (* -1/2 (* x (sqrt 2)))))) y)) (* (sqrt z) (sqrt 2)))))>
#<alt (* (sqrt z) (/ (* (sqrt 2) (* (+ y (* -1/2 x)) (+ y (* 1/2 x)))) (- (* -1/2 x) y)))>
#<alt (* (sqrt z) (/ (* (sqrt 2) (* (+ y (* -1/2 x)) (+ y (* 1/2 x)))) (- (* -1/2 x) y)))>
#<alt (* (sqrt z) (/ (* (sqrt 2) (* (+ y (* -1/2 x)) (+ y (* 1/2 x)))) (- (* -1/2 x) y)))>
#<alt (* (sqrt z) (/ (* (sqrt 2) (* (+ y (* -1/2 x)) (+ y (* 1/2 x)))) (- (* -1/2 x) y)))>
#<alt (* (sqrt z) (/ (* (sqrt 2) (* (+ y (* -1/2 x)) (+ y (* 1/2 x)))) (- (* -1/2 x) y)))>
#<alt (* (sqrt z) (/ (* (sqrt 2) (* (+ y (* -1/2 x)) (+ y (* 1/2 x)))) (- (* -1/2 x) y)))>
#<alt (* (sqrt z) (/ (* (sqrt 2) (* (+ y (* -1/2 x)) (+ y (* 1/2 x)))) (- (* -1/2 x) y)))>
#<alt (* (sqrt z) (/ (* (sqrt 2) (* (+ y (* -1/2 x)) (+ y (* 1/2 x)))) (- (* -1/2 x) y)))>
#<alt (* -1 (* (sqrt z) (/ (* (sqrt -2) (* (sqrt -1) (* (+ y (* -1/2 x)) (+ y (* 1/2 x))))) (- (* -1/2 x) y))))>
#<alt (* -1 (* (sqrt z) (/ (* (sqrt -2) (* (sqrt -1) (* (+ y (* -1/2 x)) (+ y (* 1/2 x))))) (- (* -1/2 x) y))))>
#<alt (* -1 (* (sqrt z) (/ (* (sqrt -2) (* (sqrt -1) (* (+ y (* -1/2 x)) (+ y (* 1/2 x))))) (- (* -1/2 x) y))))>
#<alt (* -1 (* (sqrt z) (/ (* (sqrt -2) (* (sqrt -1) (* (+ y (* -1/2 x)) (+ y (* 1/2 x))))) (- (* -1/2 x) y))))>
#<alt (pow y 2)>
#<alt (+ (* x (+ (* -1/2 y) (* 1/2 y))) (pow y 2))>
#<alt (+ (* x (+ (* -1/2 y) (+ (* -1/4 x) (* 1/2 y)))) (pow y 2))>
#<alt (+ (* x (+ (* -1/2 y) (+ (* -1/4 x) (* 1/2 y)))) (pow y 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* (pow x 2) (- (+ (* -1/2 (/ y x)) (* 1/2 (/ y x))) 1/4))>
#<alt (* (pow x 2) (- (+ (* -1/2 (/ y x)) (+ (* 1/2 (/ y x)) (/ (pow y 2) (pow x 2)))) 1/4))>
#<alt (* (pow x 2) (- (+ (* -1/2 (/ y x)) (+ (* 1/2 (/ y x)) (/ (pow y 2) (pow x 2)))) 1/4))>
#<alt (* -1/4 (pow x 2))>
#<alt (* (pow x 2) (- (* -1 (/ (+ (* -1/2 y) (* 1/2 y)) x)) 1/4))>
#<alt (* (pow x 2) (- (* -1 (/ (+ (* -1 (/ (pow y 2) x)) (+ (* -1/2 y) (* 1/2 y))) x)) 1/4))>
#<alt (* (pow x 2) (- (* -1 (/ (+ (* -1 (/ (pow y 2) x)) (+ (* -1/2 y) (* 1/2 y))) x)) 1/4))>
#<alt (* -1/4 (pow x 2))>
#<alt (+ (* -1/4 (pow x 2)) (* y (+ (* -1/2 x) (* 1/2 x))))>
#<alt (+ (* -1/4 (pow x 2)) (* y (+ y (+ (* -1/2 x) (* 1/2 x)))))>
#<alt (+ (* -1/4 (pow x 2)) (* y (+ y (+ (* -1/2 x) (* 1/2 x)))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (+ (* -1/2 (/ x y)) (* 1/2 (/ x y)))))>
#<alt (* (pow y 2) (+ 1 (+ (* -1/2 (/ x y)) (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/2 (/ x y))))))>
#<alt (* (pow y 2) (+ 1 (+ (* -1/2 (/ x y)) (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/2 (/ x y))))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* -1 (/ (+ (* -1/2 x) (* 1/2 x)) y))))>
#<alt (* (pow y 2) (+ 1 (* -1 (/ (+ (* -1/2 x) (+ (* 1/4 (/ (pow x 2) y)) (* 1/2 x))) y))))>
#<alt (* (pow y 2) (+ 1 (* -1 (/ (+ (* -1/2 x) (+ (* 1/4 (/ (pow x 2) y)) (* 1/2 x))) y))))>
#<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 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 (* 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 (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 z) (+ 1 (* 1/2 (pow t 2))))>
#<alt (* (sqrt z) (+ 1 (* 1/2 (pow t 2))))>
#<alt (* (sqrt z) (+ 1 (* 1/2 (pow t 2))))>
#<alt (* (sqrt z) (+ 1 (* 1/2 (pow t 2))))>
#<alt (* (sqrt z) (+ 1 (* 1/2 (pow t 2))))>
#<alt (* (sqrt z) (+ 1 (* 1/2 (pow t 2))))>
#<alt (* (sqrt z) (+ 1 (* 1/2 (pow t 2))))>
#<alt (* (sqrt z) (+ 1 (* 1/2 (pow t 2))))>
#<alt (* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (+ 1 (* 1/2 (pow t 2))))))>
#<alt (* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (+ 1 (* 1/2 (pow t 2))))))>
#<alt (* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (+ 1 (* 1/2 (pow t 2))))))>
#<alt (* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (+ 1 (* 1/2 (pow t 2))))))>
#<alt (sqrt z)>
#<alt (+ (sqrt z) (* 1/2 (* (pow t 2) (sqrt z))))>
#<alt (+ (sqrt z) (* 1/2 (* (pow t 2) (sqrt z))))>
#<alt (+ (sqrt z) (* 1/2 (* (pow t 2) (sqrt z))))>
#<alt (* 1/2 (* (pow t 2) (sqrt z)))>
#<alt (* (pow t 2) (+ (* 1/2 (sqrt z)) (* (/ 1 (pow t 2)) (sqrt z))))>
#<alt (* (pow t 2) (+ (* 1/2 (sqrt z)) (* (/ 1 (pow t 2)) (sqrt z))))>
#<alt (* (pow t 2) (+ (* 1/2 (sqrt z)) (* (/ 1 (pow t 2)) (sqrt z))))>
#<alt (* 1/2 (* (pow t 2) (sqrt z)))>
#<alt (* (pow t 2) (+ (* 1/2 (sqrt z)) (* (/ 1 (pow t 2)) (sqrt z))))>
#<alt (* (pow t 2) (+ (* 1/2 (sqrt z)) (* (/ 1 (pow t 2)) (sqrt z))))>
#<alt (* (pow t 2) (+ (* 1/2 (sqrt z)) (* (/ 1 (pow t 2)) (sqrt z))))>
Calls

132 calls:

TimeVariablePointExpression
25.0ms
x
@0
(* (* (/ (* (+ (* x 1/2) y) (+ (* x -1/2) y)) (+ (* x -1/2) (neg y))) (sqrt (* z 2))) 1)
3.0ms
z
@-inf
(* (* (/ (* (+ (* x 1/2) y) (+ (* x -1/2) y)) (+ (* x -1/2) (neg y))) (sqrt (* z 2))) 1)
2.0ms
z
@0
(* (* (/ (* (+ (* x 1/2) y) (+ (* x -1/2) y)) (+ (* x -1/2) (neg y))) (sqrt (* z 2))) 1)
1.0ms
t
@inf
(/ 1 (sqrt (* (exp (* t t)) (* 2 z))))
1.0ms
y
@0
(neg (* y (* (sqrt 2) (* (sqrt z) (+ (* t (* t 1/2)) 1)))))

rewrite598.0ms (2.9%)

Memory
-6.7MiB live, 554.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 650×accelerator-lowering-fma.f32
5 650×accelerator-lowering-fma.f64
3 322×*-lowering-*.f32
3 322×*-lowering-*.f64
2 688×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041177
1189174
21462170
09913159
Stop Event
1×iter limit
1×node limit
Counts
23 → 1 617
Calls
Call 1
Inputs
(/ (- (* x 1/2) y) (/ 1 (sqrt (* (exp (* t t)) (* 2 z)))))
(- (* x 1/2) y)
(* x 1/2)
(/ 1 (sqrt (* (exp (* t t)) (* 2 z))))
(* (* (neg y) (sqrt (* z 2))) 1)
(* (neg y) (sqrt (* z 2)))
(neg y)
(sqrt (* z 2))
(* (- (* x 1/2) y) (* (sqrt 2) (sqrt z)))
(* (sqrt 2) (sqrt z))
(neg (* y (* (sqrt 2) (* (sqrt z) (+ (* t (* t 1/2)) 1)))))
(* y (* (sqrt 2) (* (sqrt z) (+ (* t (* t 1/2)) 1))))
(* (sqrt 2) (* (sqrt z) (+ (* t (* t 1/2)) 1)))
(sqrt 2)
(/ (* (+ (* x 1/2) y) (+ (* x -1/2) y)) (+ (* x -1/2) (neg y)))
(* (* (/ (* (+ (* x 1/2) y) (+ (* x -1/2) y)) (+ (* x -1/2) (neg y))) (sqrt (* z 2))) 1)
(* (/ (* (+ (* x 1/2) y) (+ (* x -1/2) y)) (+ (* x -1/2) (neg y))) (sqrt (* z 2)))
(* (+ (* x 1/2) y) (+ (* x -1/2) y))
(sqrt (* (exp (* t t)) (* 2 z)))
(exp (* t t))
(* z 2)
(sqrt z)
(* (sqrt z) (+ (* t (* t 1/2)) 1))
Outputs
(+.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (neg.f64 (*.f64 y (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))))
(+.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))
(+.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (*.f64 y (neg.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))
(-.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (*.f64 y (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))
(-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (/.f64 y (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))))
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))))
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (/.f64 (/.f64 (*.f64 y y) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))))
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (/.f64 (/.f64 (*.f64 y y) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))))
(-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))))
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y))) (/.f64 (*.f64 y y) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y))))
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(/.f64 (neg.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/8 binary64)) #s(literal 1 binary64)))) (neg.f64 (+.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 t t)))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/4 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (sqrt.f64 z))) (neg.f64 (+.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 t t)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (sqrt.f64 z))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal -1 binary64))))
(/.f64 (fma.f64 z (sqrt.f64 z) (*.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/8 binary64))) (*.f64 z (sqrt.f64 z)))) (+.f64 z (-.f64 (*.f64 z (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/4 binary64)))) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 t t) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))))))
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(*.f64 (*.f64 (fma.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 t t)))))
(*.f64 (*.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal -1 binary64))))

simplify621.0ms (3%)

Memory
-1.0MiB live, 858.7MiB allocated
Algorithm
1×egg-herbie
Rules
9 464×accelerator-lowering-fma.f32
9 464×accelerator-lowering-fma.f64
6 852×*-lowering-*.f32
6 852×*-lowering-*.f64
2 758×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05828643
119587455
273537420
080397143
Stop Event
1×iter limit
1×node limit
Counts
528 → 528
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)))
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(* (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)))
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(* (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)))
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(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
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(* -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)
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(* y (- (* 1/2 (/ x y)) 1))
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(* y (- (* 1/2 (/ x y)) 1))
(* -1 y)
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(* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))
(+ (* -1/2 (* (/ (pow t 2) (sqrt 2)) (sqrt (/ 1 z)))) (* (sqrt (/ 1 z)) (/ 1 (sqrt 2))))
(+ (* (sqrt (/ 1 z)) (/ 1 (sqrt 2))) (* (pow t 2) (+ (* -1/2 (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) (* 1/8 (* (/ (pow t 2) (sqrt 2)) (sqrt (/ 1 z)))))))
(+ (* (sqrt (/ 1 z)) (/ 1 (sqrt 2))) (* (pow t 2) (+ (* -1/2 (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) (* (pow t 2) (+ (* -1/48 (* (/ (pow t 2) (sqrt 2)) (sqrt (/ 1 z)))) (* 1/8 (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))))))))
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))
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(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))
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(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))
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(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ (sqrt -1) (sqrt -2)))
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(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ (sqrt -1) (sqrt -2)))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
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(* -1 (* y (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (/ (* x (- (* -1/4 (* (pow x 2) (sqrt 2))) (* -1/2 (* x (- (* (sqrt 2) (+ (* -1/2 x) (* 1/2 x))) (* -1/2 (* x (sqrt 2)))))))) y) (sqrt z))) (* (sqrt z) (- (* -1/4 (* (pow x 2) (sqrt 2))) (* -1/2 (* x (- (* (sqrt 2) (+ (* -1/2 x) (* 1/2 x))) (* -1/2 (* x (sqrt 2))))))))) y)) (* (sqrt z) (- (* (sqrt 2) (+ (* -1/2 x) (* 1/2 x))) (* -1/2 (* x (sqrt 2)))))) y)) (* (sqrt z) (sqrt 2)))))
(* (sqrt z) (/ (* (sqrt 2) (* (+ y (* -1/2 x)) (+ y (* 1/2 x)))) (- (* -1/2 x) y)))
(* (sqrt z) (/ (* (sqrt 2) (* (+ y (* -1/2 x)) (+ y (* 1/2 x)))) (- (* -1/2 x) y)))
(* (sqrt z) (/ (* (sqrt 2) (* (+ y (* -1/2 x)) (+ y (* 1/2 x)))) (- (* -1/2 x) y)))
(* (sqrt z) (/ (* (sqrt 2) (* (+ y (* -1/2 x)) (+ y (* 1/2 x)))) (- (* -1/2 x) y)))
(* (sqrt z) (/ (* (sqrt 2) (* (+ y (* -1/2 x)) (+ y (* 1/2 x)))) (- (* -1/2 x) y)))
(* (sqrt z) (/ (* (sqrt 2) (* (+ y (* -1/2 x)) (+ y (* 1/2 x)))) (- (* -1/2 x) y)))
(* (sqrt z) (/ (* (sqrt 2) (* (+ y (* -1/2 x)) (+ y (* 1/2 x)))) (- (* -1/2 x) y)))
(* (sqrt z) (/ (* (sqrt 2) (* (+ y (* -1/2 x)) (+ y (* 1/2 x)))) (- (* -1/2 x) y)))
(* -1 (* (sqrt z) (/ (* (sqrt -2) (* (sqrt -1) (* (+ y (* -1/2 x)) (+ y (* 1/2 x))))) (- (* -1/2 x) y))))
(* -1 (* (sqrt z) (/ (* (sqrt -2) (* (sqrt -1) (* (+ y (* -1/2 x)) (+ y (* 1/2 x))))) (- (* -1/2 x) y))))
(* -1 (* (sqrt z) (/ (* (sqrt -2) (* (sqrt -1) (* (+ y (* -1/2 x)) (+ y (* 1/2 x))))) (- (* -1/2 x) y))))
(* -1 (* (sqrt z) (/ (* (sqrt -2) (* (sqrt -1) (* (+ y (* -1/2 x)) (+ y (* 1/2 x))))) (- (* -1/2 x) y))))
(pow y 2)
(+ (* x (+ (* -1/2 y) (* 1/2 y))) (pow y 2))
(+ (* x (+ (* -1/2 y) (+ (* -1/4 x) (* 1/2 y)))) (pow y 2))
(+ (* x (+ (* -1/2 y) (+ (* -1/4 x) (* 1/2 y)))) (pow y 2))
(* -1/4 (pow x 2))
(* (pow x 2) (- (+ (* -1/2 (/ y x)) (* 1/2 (/ y x))) 1/4))
(* (pow x 2) (- (+ (* -1/2 (/ y x)) (+ (* 1/2 (/ y x)) (/ (pow y 2) (pow x 2)))) 1/4))
(* (pow x 2) (- (+ (* -1/2 (/ y x)) (+ (* 1/2 (/ y x)) (/ (pow y 2) (pow x 2)))) 1/4))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* -1 (/ (+ (* -1/2 y) (* 1/2 y)) x)) 1/4))
(* (pow x 2) (- (* -1 (/ (+ (* -1 (/ (pow y 2) x)) (+ (* -1/2 y) (* 1/2 y))) x)) 1/4))
(* (pow x 2) (- (* -1 (/ (+ (* -1 (/ (pow y 2) x)) (+ (* -1/2 y) (* 1/2 y))) x)) 1/4))
(* -1/4 (pow x 2))
(+ (* -1/4 (pow x 2)) (* y (+ (* -1/2 x) (* 1/2 x))))
(+ (* -1/4 (pow x 2)) (* y (+ y (+ (* -1/2 x) (* 1/2 x)))))
(+ (* -1/4 (pow x 2)) (* y (+ y (+ (* -1/2 x) (* 1/2 x)))))
(pow y 2)
(* (pow y 2) (+ 1 (+ (* -1/2 (/ x y)) (* 1/2 (/ x y)))))
(* (pow y 2) (+ 1 (+ (* -1/2 (/ x y)) (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/2 (/ x y))))))
(* (pow y 2) (+ 1 (+ (* -1/2 (/ x y)) (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/2 (/ x y))))))
(pow y 2)
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1/2 x) (* 1/2 x)) y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1/2 x) (+ (* 1/4 (/ (pow x 2) y)) (* 1/2 x))) y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1/2 x) (+ (* 1/4 (/ (pow x 2) y)) (* 1/2 x))) y))))
(* (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))))
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))
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* (sqrt z) (+ 1 (* 1/2 (pow t 2))))
(* (sqrt z) (+ 1 (* 1/2 (pow t 2))))
(* (sqrt z) (+ 1 (* 1/2 (pow t 2))))
(* (sqrt z) (+ 1 (* 1/2 (pow t 2))))
(* (sqrt z) (+ 1 (* 1/2 (pow t 2))))
(* (sqrt z) (+ 1 (* 1/2 (pow t 2))))
(* (sqrt z) (+ 1 (* 1/2 (pow t 2))))
(* (sqrt z) (+ 1 (* 1/2 (pow t 2))))
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (+ 1 (* 1/2 (pow t 2))))))
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (+ 1 (* 1/2 (pow t 2))))))
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (+ 1 (* 1/2 (pow t 2))))))
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (+ 1 (* 1/2 (pow t 2))))))
(sqrt z)
(+ (sqrt z) (* 1/2 (* (pow t 2) (sqrt z))))
(+ (sqrt z) (* 1/2 (* (pow t 2) (sqrt z))))
(+ (sqrt z) (* 1/2 (* (pow t 2) (sqrt z))))
(* 1/2 (* (pow t 2) (sqrt z)))
(* (pow t 2) (+ (* 1/2 (sqrt z)) (* (/ 1 (pow t 2)) (sqrt z))))
(* (pow t 2) (+ (* 1/2 (sqrt z)) (* (/ 1 (pow t 2)) (sqrt z))))
(* (pow t 2) (+ (* 1/2 (sqrt z)) (* (/ 1 (pow t 2)) (sqrt z))))
(* 1/2 (* (pow t 2) (sqrt z)))
(* (pow t 2) (+ (* 1/2 (sqrt z)) (* (/ 1 (pow t 2)) (sqrt z))))
(* (pow t 2) (+ (* 1/2 (sqrt z)) (* (/ 1 (pow t 2)) (sqrt z))))
(* (pow t 2) (+ (* 1/2 (sqrt z)) (* (/ 1 (pow t 2)) (sqrt z))))
Outputs
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(neg.f64 (*.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t))))))
(* 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 (fma.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (neg.f64 (/.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)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(*.f64 x (fma.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (neg.f64 (/.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)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(*.f64 x (fma.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (neg.f64 (/.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)))))
(* 1/2 (* (* 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 (fma.f64 y (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t))))) x) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (neg.f64 x))
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))
(*.f64 (fma.f64 y (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t))))) x) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (neg.f64 x))
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))
(*.f64 (fma.f64 y (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t))))) x) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (neg.f64 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 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t))))))
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(neg.f64 (*.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))))))
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))
(*.f64 y (-.f64 (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 x y)) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))))))
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))
(*.f64 y (-.f64 (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 x y)) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))))))
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))
(*.f64 y (-.f64 (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 x y)) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))))))
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(neg.f64 (*.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (/.f64 #s(literal -1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (/.f64 #s(literal -1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (/.f64 #s(literal -1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (*.f64 t #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 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)))))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (*.f64 (*.f64 t (*.f64 t #s(literal 1/2 binary64))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 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) (+ (* 1/2 (* (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)))))))))
(fma.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (*.f64 t #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) (*.f64 (*.f64 t t) (*.f64 (*.f64 t (*.f64 t #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 z (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) (*.f64 (*.f64 t t) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 z #s(literal 1/6 binary64) (*.f64 #s(literal -1/8 binary64) z))))))))))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t))))))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t))))))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t))))))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t))))))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t))))))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t))))))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t))))))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t))))))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t))))))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
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(+ (* -1/4 (pow x 2)) (* y (+ y (+ (* -1/2 x) (* 1/2 x)))))
(fma.f64 y y (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (+ (* -1/2 (/ x y)) (* 1/2 (/ x y)))))
(*.f64 y y)
(* (pow y 2) (+ 1 (+ (* -1/2 (/ x y)) (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/2 (/ x y))))))
(*.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 y y))))
(* (pow y 2) (+ 1 (+ (* -1/2 (/ x y)) (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/2 (/ x y))))))
(*.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 y y))))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1/2 x) (* 1/2 x)) y))))
(*.f64 y y)
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1/2 x) (+ (* 1/4 (/ (pow x 2) y)) (* 1/2 x))) y))))
(*.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) y) #s(literal 0 binary64)) y)))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1/2 x) (+ (* 1/4 (/ (pow x 2) y)) (* 1/2 x))) y))))
(*.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) y) #s(literal 0 binary64)) y)))
(* (sqrt z) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))
(+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(+ (* (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)))))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 z #s(literal 1/8 binary64))))))
(+ (* (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)))))))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 t (*.f64 t (*.f64 (*.f64 t (*.f64 t #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 z #s(literal 1/4 binary64)) (*.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 z #s(literal 1/6 binary64) (*.f64 #s(literal -1/8 binary64) z))))))))))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1))))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1))))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1))))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1))))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (pow t 2))
(fma.f64 t t #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2)))))
(fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))
(fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp (pow t 2))
(exp.f64 (*.f64 t t))
(exp (pow t 2))
(exp.f64 (*.f64 t t))
(exp (pow t 2))
(exp.f64 (*.f64 t t))
(exp (pow t 2))
(exp.f64 (*.f64 t t))
(exp (pow t 2))
(exp.f64 (*.f64 t t))
(exp (pow t 2))
(exp.f64 (*.f64 t t))
(exp (pow t 2))
(exp.f64 (*.f64 t t))
(exp (pow t 2))
(exp.f64 (*.f64 t t))
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(sqrt z)
(sqrt.f64 z)
(sqrt z)
(sqrt.f64 z)
(sqrt z)
(sqrt.f64 z)
(sqrt z)
(sqrt.f64 z)
(sqrt z)
(sqrt.f64 z)
(sqrt z)
(sqrt.f64 z)
(sqrt z)
(sqrt.f64 z)
(sqrt z)
(sqrt.f64 z)
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(sqrt.f64 z)
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(sqrt.f64 z)
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(sqrt.f64 z)
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(sqrt.f64 z)
(* (sqrt z) (+ 1 (* 1/2 (pow t 2))))
(*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(* (sqrt z) (+ 1 (* 1/2 (pow t 2))))
(*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(* (sqrt z) (+ 1 (* 1/2 (pow t 2))))
(*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(* (sqrt z) (+ 1 (* 1/2 (pow t 2))))
(*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(* (sqrt z) (+ 1 (* 1/2 (pow t 2))))
(*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(* (sqrt z) (+ 1 (* 1/2 (pow t 2))))
(*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(* (sqrt z) (+ 1 (* 1/2 (pow t 2))))
(*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(* (sqrt z) (+ 1 (* 1/2 (pow t 2))))
(*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (+ 1 (* 1/2 (pow t 2))))))
(*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (+ 1 (* 1/2 (pow t 2))))))
(*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (+ 1 (* 1/2 (pow t 2))))))
(*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (+ 1 (* 1/2 (pow t 2))))))
(*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(sqrt z)
(sqrt.f64 z)
(+ (sqrt z) (* 1/2 (* (pow t 2) (sqrt z))))
(*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(+ (sqrt z) (* 1/2 (* (pow t 2) (sqrt z))))
(*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(+ (sqrt z) (* 1/2 (* (pow t 2) (sqrt z))))
(*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(* 1/2 (* (pow t 2) (sqrt z)))
(*.f64 t (*.f64 t (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))
(* (pow t 2) (+ (* 1/2 (sqrt z)) (* (/ 1 (pow t 2)) (sqrt z))))
(*.f64 (*.f64 t t) (*.f64 (sqrt.f64 z) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t t)))))
(* (pow t 2) (+ (* 1/2 (sqrt z)) (* (/ 1 (pow t 2)) (sqrt z))))
(*.f64 (*.f64 t t) (*.f64 (sqrt.f64 z) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t t)))))
(* (pow t 2) (+ (* 1/2 (sqrt z)) (* (/ 1 (pow t 2)) (sqrt z))))
(*.f64 (*.f64 t t) (*.f64 (sqrt.f64 z) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t t)))))
(* 1/2 (* (pow t 2) (sqrt z)))
(*.f64 t (*.f64 t (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))
(* (pow t 2) (+ (* 1/2 (sqrt z)) (* (/ 1 (pow t 2)) (sqrt z))))
(*.f64 (*.f64 t t) (*.f64 (sqrt.f64 z) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t t)))))
(* (pow t 2) (+ (* 1/2 (sqrt z)) (* (/ 1 (pow t 2)) (sqrt z))))
(*.f64 (*.f64 t t) (*.f64 (sqrt.f64 z) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t t)))))
(* (pow t 2) (+ (* 1/2 (sqrt z)) (* (/ 1 (pow t 2)) (sqrt z))))
(*.f64 (*.f64 t t) (*.f64 (sqrt.f64 z) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t t)))))

eval546.0ms (2.7%)

Memory
-103.3MiB live, 717.0MiB allocated
Compiler

Compiled 71 536 to 5 886 computations (91.8% saved)

prune360.0ms (1.8%)

Memory
18.2MiB live, 599.9MiB allocated
Pruning

39 alts after pruning (39 fresh and 0 done)

PrunedKeptTotal
New2 515212 536
Fresh41822
Picked505
Done000
Total2 524392 563
Accuracy
100.0%
Counts
2 563 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.4%
(/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) z)))))
48.6%
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal 1/2 binary64) y))
▶54.5%
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y)))
23.8%
(*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
81.4%
(*.f64 (fma.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 #s(literal 2 binary64) z))))
54.4%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
88.6%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 t t) (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) z))))
84.1%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z))))
54.5%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
23.8%
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
23.8%
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
31.4%
(*.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
23.7%
(*.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -1/4 binary64)) (fma.f64 x #s(literal -1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
12.7%
(*.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (neg.f64 (fma.f64 y y #s(literal 0 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
32.5%
(*.f64 (*.f64 (/.f64 (*.f64 y y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
▶95.4%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
92.3%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
54.4%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
▶48.8%
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
52.4%
(*.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
53.3%
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
24.9%
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
51.2%
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (neg.f64 y))
49.3%
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal -1/2 binary64) #s(literal -1 binary64))) (*.f64 y (sqrt.f64 z)))
▶24.5%
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
31.7%
(*.f64 (*.f64 (neg.f64 y) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64))) #s(literal 1 binary64))
32.1%
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
32.1%
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
24.8%
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
63.2%
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))
25.9%
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 t t)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z))))
▶32.2%
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y))
84.1%
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
48.1%
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 t t) (*.f64 t t)))))
49.4%
(*.f64 (neg.f64 (*.f64 y (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
32.1%
(*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
65.9%
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))
51.2%
(neg.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) y)))
24.8%
(neg.f64 (*.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (*.f64 t (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))))))
Compiler

Compiled 1 386 to 1 044 computations (24.7% saved)

simplify620.0ms (3%)

Memory
-6.2MiB live, 314.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 #s(literal 2 binary64))
✓cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓cost-diff0
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓cost-diff0
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
✓cost-diff0
(/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y))
✓cost-diff0
(*.f64 #s(literal 2 binary64) z)
✓cost-diff0
(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
✓cost-diff960
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y)))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))
✓cost-diff0
(sqrt.f64 #s(literal 2 binary64))
✓cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓cost-diff0
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
✓cost-diff0
(neg.f64 y)
✓cost-diff0
(*.f64 #s(literal 2 binary64) z)
✓cost-diff0
(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
✓cost-diff0
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y))
✓cost-diff0
(*.f64 x #s(literal 1/2 binary64))
✓cost-diff0
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
✓cost-diff0
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
✓cost-diff0
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
Rules
11 120×accelerator-lowering-fma.f32
11 120×accelerator-lowering-fma.f64
4 450×*-lowering-*.f32
4 450×*-lowering-*.f64
3 858×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042242
1117242
2381242
31369242
44087242
55692242
08199228
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (+ (* (* t t) (+ (* (* t t) (+ (* (* t t) 1/48) 1/8)) 1/2)) 1))
(* (- (* x 1/2) y) (sqrt (* z 2)))
(- (* x 1/2) y)
(* x 1/2)
x
1/2
y
(sqrt (* z 2))
(* z 2)
z
2
(+ (* (* t t) (+ (* (* t t) (+ (* (* t t) 1/48) 1/8)) 1/2)) 1)
(* t t)
t
(+ (* (* t t) (+ (* (* t t) 1/48) 1/8)) 1/2)
(+ (* (* t t) 1/48) 1/8)
1/48
1/8
1
(* (sqrt (* 2 z)) (neg y))
(sqrt (* 2 z))
(* 2 z)
2
z
(neg y)
y
(* (* (sqrt 2) x) (* 1/2 (sqrt z)))
(* (sqrt 2) x)
(sqrt 2)
2
x
(* 1/2 (sqrt z))
1/2
(sqrt z)
z
(/ (sqrt (* 2 z)) (/ -1 (+ (* x -1/2) y)))
(sqrt (* 2 z))
(* 2 z)
2
z
(/ -1 (+ (* x -1/2) y))
-1
(+ (* x -1/2) y)
x
-1/2
y
(* (* (* (sqrt 2) x) (+ (* t (* t 1/2)) 1)) (* 1/2 (sqrt z)))
(* (* (sqrt 2) x) (+ (* t (* t 1/2)) 1))
(* (sqrt 2) x)
(sqrt 2)
2
x
(+ (* t (* t 1/2)) 1)
t
(* t 1/2)
1/2
1
(* 1/2 (sqrt z))
(sqrt z)
z
Outputs
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (+ (* (* t t) (+ (* (* t t) (+ (* (* t t) 1/48) 1/8)) 1/2)) 1))
(neg.f64 (*.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal -1/2 binary64) y)))
(* (- (* x 1/2) y) (sqrt (* z 2)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(- (* x 1/2) y)
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
x
1/2
#s(literal 1/2 binary64)
y
(sqrt (* z 2))
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(* z 2)
(*.f64 z #s(literal 2 binary64))
z
2
#s(literal 2 binary64)
(+ (* (* t t) (+ (* (* t t) (+ (* (* t t) 1/48) 1/8)) 1/2)) 1)
(fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* t t)
(*.f64 t t)
t
(+ (* (* t t) (+ (* (* t t) 1/48) 1/8)) 1/2)
(fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))
(+ (* (* t t) 1/48) 1/8)
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))
1/48
#s(literal 1/48 binary64)
1/8
#s(literal 1/8 binary64)
1
#s(literal 1 binary64)
(* (sqrt (* 2 z)) (neg y))
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 y))
(sqrt (* 2 z))
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
2
#s(literal 2 binary64)
z
(neg y)
(neg.f64 y)
y
(* (* (sqrt 2) x) (* 1/2 (sqrt z)))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(* (sqrt 2) x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
x
(* 1/2 (sqrt z))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))
1/2
#s(literal 1/2 binary64)
(sqrt z)
(sqrt.f64 z)
z
(/ (sqrt (* 2 z)) (/ -1 (+ (* x -1/2) y)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(sqrt (* 2 z))
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
2
#s(literal 2 binary64)
z
(/ -1 (+ (* x -1/2) y))
(/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y))
-1
#s(literal -1 binary64)
(+ (* x -1/2) y)
(fma.f64 x #s(literal -1/2 binary64) y)
x
-1/2
#s(literal -1/2 binary64)
y
(* (* (* (sqrt 2) x) (+ (* t (* t 1/2)) 1)) (* 1/2 (sqrt z)))
(*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 t t)) #s(literal 1/2 binary64))))
(* (* (sqrt 2) x) (+ (* t (* t 1/2)) 1))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 t t)) x))
(* (sqrt 2) x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
x
(+ (* t (* t 1/2)) 1)
(fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))
t
(* t 1/2)
(*.f64 #s(literal 1/2 binary64) t)
1/2
#s(literal 1/2 binary64)
1
#s(literal 1 binary64)
(* 1/2 (sqrt z))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))
(sqrt z)
(sqrt.f64 z)
z

localize337.0ms (1.7%)

Memory
-18.9MiB live, 176.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy99.3%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓accuracy97.1%
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
✓accuracy96.5%
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) z)
✓accuracy100.0%
(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
✓accuracy100.0%
(/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y))
✓accuracy99.4%
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y)))
✓accuracy100.0%
(sqrt.f64 z)
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy99.3%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓accuracy99.1%
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) z)
✓accuracy100.0%
(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
✓accuracy100.0%
(neg.f64 y)
✓accuracy99.6%
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y))
✓accuracy99.9%
(fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
✓accuracy99.8%
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))
✓accuracy99.6%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
✓accuracy98.9%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
Samples
180.0ms256×0valid
Compiler

Compiled 231 to 44 computations (81% saved)

Precisions
Click to see histograms. Total time spent on operations: 99.0ms
ival-add: 57.0ms (57.4% of total)
ival-mult: 24.0ms (24.1% of total)
ival-sqrt: 7.0ms (7% of total)
const: 4.0ms (4% of total)
ival-div: 3.0ms (3% of total)
ival-sub: 1.0ms (1% of total)
exact: 1.0ms (1% of total)
ival-neg: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series47.0ms (0.2%)

Memory
22.5MiB live, 138.6MiB allocated
Counts
19 → 384
Calls
Call 1
Inputs
#<alt (* (* (- (* x 1/2) y) (sqrt (* z 2))) (+ (* (* t t) (+ (* (* t t) (+ (* (* t t) 1/48) 1/8)) 1/2)) 1))>
#<alt (* (- (* x 1/2) y) (sqrt (* z 2)))>
#<alt (- (* x 1/2) y)>
#<alt (* x 1/2)>
#<alt (* (sqrt (* 2 z)) (neg y))>
#<alt (sqrt (* 2 z))>
#<alt (* 2 z)>
#<alt (neg y)>
#<alt (* (* (sqrt 2) x) (* 1/2 (sqrt z)))>
#<alt (* (sqrt 2) x)>
#<alt (sqrt 2)>
#<alt (* 1/2 (sqrt z))>
#<alt (/ (sqrt (* 2 z)) (/ -1 (+ (* x -1/2) y)))>
#<alt (/ -1 (+ (* x -1/2) y))>
#<alt (* (* (* (sqrt 2) x) (+ (* t (* t 1/2)) 1)) (* 1/2 (sqrt z)))>
#<alt (* (* (sqrt 2) x) (+ (* t (* t 1/2)) 1))>
#<alt (+ (* (* t t) 1/48) 1/8)>
#<alt (+ (* (* t t) (+ (* (* t t) 1/48) 1/8)) 1/2)>
#<alt (sqrt z)>
Outputs
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z)))>
#<alt (+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))))>
#<alt (+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))))>
#<alt (+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))))>
#<alt (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z)))>
#<alt (* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))))))>
#<alt (* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))))))>
#<alt (* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))))))>
#<alt (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z)))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))) (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) x) (sqrt z)))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))) (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) x) (sqrt z)))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))) (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) x) (sqrt z)))))>
#<alt (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z)))>
#<alt (+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))))>
#<alt (+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))))>
#<alt (+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))))>
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z)))>
#<alt (* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))) (* 1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) y) (sqrt z)))))>
#<alt (* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))) (* 1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) y) (sqrt z)))))>
#<alt (* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))) (* 1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) y) (sqrt z)))))>
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z)))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) y) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))))))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) y) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))))))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) y) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))))))>
#<alt (* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y))))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y))))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y))))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y))))))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))>
#<alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))))>
#<alt (* 1/48 (* (* (pow t 6) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z)))>
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#<alt (* (pow t 2) (+ (* 1/2 (* x (sqrt 2))) (/ (* x (sqrt 2)) (pow t 2))))>
#<alt (* (pow t 2) (+ (* 1/2 (* x (sqrt 2))) (/ (* x (sqrt 2)) (pow t 2))))>
#<alt (* (pow t 2) (+ (* 1/2 (* x (sqrt 2))) (/ (* x (sqrt 2)) (pow t 2))))>
#<alt 1/8>
#<alt (+ 1/8 (* 1/48 (pow t 2)))>
#<alt (+ 1/8 (* 1/48 (pow t 2)))>
#<alt (+ 1/8 (* 1/48 (pow t 2)))>
#<alt (* 1/48 (pow t 2))>
#<alt (* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))>
#<alt (* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))>
#<alt (* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))>
#<alt (* 1/48 (pow t 2))>
#<alt (* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))>
#<alt (* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))>
#<alt (* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/8 (pow t 2)))>
#<alt (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))>
#<alt (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))>
#<alt (* 1/48 (pow t 4))>
#<alt (* (pow t 4) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))>
#<alt (* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2))))))>
#<alt (* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2))))))>
#<alt (* 1/48 (pow t 4))>
#<alt (* (pow t 4) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))>
#<alt (* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2))))))>
#<alt (* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (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)))>
Calls

96 calls:

TimeVariablePointExpression
14.0ms
x
@inf
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (+ (* (* t t) (+ (* (* t t) (+ (* (* t t) 1/48) 1/8)) 1/2)) 1))
2.0ms
z
@inf
(* (* (* (sqrt 2) x) (+ (* t (* t 1/2)) 1)) (* 1/2 (sqrt z)))
2.0ms
x
@inf
(* (* (sqrt 2) x) (* 1/2 (sqrt z)))
1.0ms
x
@0
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (+ (* (* t t) (+ (* (* t t) (+ (* (* t t) 1/48) 1/8)) 1/2)) 1))
1.0ms
z
@0
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (+ (* (* t t) (+ (* (* t t) (+ (* (* t t) 1/48) 1/8)) 1/2)) 1))

rewrite440.0ms (2.2%)

Memory
19.3MiB live, 809.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
8 846×accelerator-lowering-fma.f32
8 846×accelerator-lowering-fma.f64
4 974×*-lowering-*.f32
4 974×*-lowering-*.f64
3 498×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042151
1210151
21631151
09020142
Stop Event
1×iter limit
1×node limit
Counts
19 → 975
Calls
Call 1
Inputs
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (+ (* (* t t) (+ (* (* t t) (+ (* (* t t) 1/48) 1/8)) 1/2)) 1))
(* (- (* x 1/2) y) (sqrt (* z 2)))
(- (* x 1/2) y)
(* x 1/2)
(* (sqrt (* 2 z)) (neg y))
(sqrt (* 2 z))
(* 2 z)
(neg y)
(* (* (sqrt 2) x) (* 1/2 (sqrt z)))
(* (sqrt 2) x)
(sqrt 2)
(* 1/2 (sqrt z))
(/ (sqrt (* 2 z)) (/ -1 (+ (* x -1/2) y)))
(/ -1 (+ (* x -1/2) y))
(* (* (* (sqrt 2) x) (+ (* t (* t 1/2)) 1)) (* 1/2 (sqrt z)))
(* (* (sqrt 2) x) (+ (* t (* t 1/2)) 1))
(+ (* (* t t) 1/48) 1/8)
(+ (* (* t t) (+ (* (* t t) 1/48) 1/8)) 1/2)
(sqrt z)
Outputs
(+.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))))
(+.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (*.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))))
(+.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))) (neg.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))))
(+.f64 (*.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))))) (*.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(+.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (*.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) (neg.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))))
(+.f64 (*.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))))) (*.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 t t))))
(+.f64 (*.f64 (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 y))))
(+.f64 (*.f64 (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) (*.f64 (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 y))))
(+.f64 (*.f64 (*.f64 (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (neg.f64 y)))
(+.f64 (*.f64 (*.f64 (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (neg.f64 y)) (*.f64 (*.f64 (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (*.f64 x #s(literal 1/2 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 t (*.f64 (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (*.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))) (*.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) (neg.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))))) (fma.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) (*.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal -1/2 binary64) y)))) (/.f64 (*.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) (neg.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) (*.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal -1/2 binary64) y)))))
(fma.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))))
(fma.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (*.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))))
(fma.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))) (neg.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))))
(fma.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (*.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (neg.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))))
(fma.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))))
(fma.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (*.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))))
(fma.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) (*.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))))
(fma.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))))
(fma.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (*.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))))
(fma.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))) (*.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(fma.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))))) (*.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 t t))))
(fma.f64 t (*.f64 (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))) (neg.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))))
(fma.f64 (*.f64 t t) (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))) (neg.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))))
(fma.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 t t) (neg.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))) (neg.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))))
(fma.f64 (*.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) (neg.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))))
(fma.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))))
(fma.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (*.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))))
(fma.f64 (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 y))))
(fma.f64 (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (*.f64 (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 y))))
(fma.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) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))))
(fma.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) (*.f64 (*.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))))
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(exp.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64)))
(sqrt.f64 z)
(pow.f64 z #s(literal 1/2 binary64))
(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 z z) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 z)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))

simplify506.0ms (2.5%)

Memory
13.4MiB live, 940.9MiB allocated
Algorithm
1×egg-herbie
Rules
11 846×accelerator-lowering-fma.f32
11 846×accelerator-lowering-fma.f64
6 912×*-lowering-*.f32
6 912×*-lowering-*.f64
3 036×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03475787
111115299
237265068
379175068
087414806
Stop Event
1×iter limit
1×node limit
Counts
384 → 384
Calls
Call 1
Inputs
(* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z)))
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(* -1 (/ (+ 1 (* -1 (/ (- (* -1/4 (/ (pow x 2) y)) (* 1/2 x)) y))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow x 3) y)) (* -1/4 (pow x 2))) y)) (* 1/2 x)) y))) y))
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(+ (* 1/4 (* (* (pow t 2) (* x (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* 1/4 (* (* (pow t 2) (* x (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* 1/4 (* (* (pow t 2) (* x (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(* 1/4 (* (* (pow t 2) (* x (sqrt 2))) (sqrt z)))
(* (pow t 2) (+ (* 1/4 (* (* x (sqrt 2)) (sqrt z))) (* 1/2 (* (/ (* x (sqrt 2)) (pow t 2)) (sqrt z)))))
(* (pow t 2) (+ (* 1/4 (* (* x (sqrt 2)) (sqrt z))) (* 1/2 (* (/ (* x (sqrt 2)) (pow t 2)) (sqrt z)))))
(* (pow t 2) (+ (* 1/4 (* (* x (sqrt 2)) (sqrt z))) (* 1/2 (* (/ (* x (sqrt 2)) (pow t 2)) (sqrt z)))))
(* 1/4 (* (* (pow t 2) (* x (sqrt 2))) (sqrt z)))
(* (pow t 2) (+ (* 1/4 (* (* x (sqrt 2)) (sqrt z))) (* 1/2 (* (/ (* x (sqrt 2)) (pow t 2)) (sqrt z)))))
(* (pow t 2) (+ (* 1/4 (* (* x (sqrt 2)) (sqrt z))) (* 1/2 (* (/ (* x (sqrt 2)) (pow t 2)) (sqrt z)))))
(* (pow t 2) (+ (* 1/4 (* (* x (sqrt 2)) (sqrt z))) (* 1/2 (* (/ (* x (sqrt 2)) (pow t 2)) (sqrt z)))))
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))
(* -1/2 (* (* x (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (sqrt z)))
(* -1/2 (* (* x (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (sqrt z)))
(* -1/2 (* (* x (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (sqrt z)))
(* -1/2 (* (* x (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (sqrt z)))
(* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))
(* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))
(* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))
(* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))
(* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))
(* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))
(* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))
(* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))
(* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))
(* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))
(* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))
(* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))
(* x (sqrt 2))
(+ (* 1/2 (* (pow t 2) (* x (sqrt 2)))) (* x (sqrt 2)))
(+ (* 1/2 (* (pow t 2) (* x (sqrt 2)))) (* x (sqrt 2)))
(+ (* 1/2 (* (pow t 2) (* x (sqrt 2)))) (* x (sqrt 2)))
(* 1/2 (* (pow t 2) (* x (sqrt 2))))
(* (pow t 2) (+ (* 1/2 (* x (sqrt 2))) (/ (* x (sqrt 2)) (pow t 2))))
(* (pow t 2) (+ (* 1/2 (* x (sqrt 2))) (/ (* x (sqrt 2)) (pow t 2))))
(* (pow t 2) (+ (* 1/2 (* x (sqrt 2))) (/ (* x (sqrt 2)) (pow t 2))))
(* 1/2 (* (pow t 2) (* x (sqrt 2))))
(* (pow t 2) (+ (* 1/2 (* x (sqrt 2))) (/ (* x (sqrt 2)) (pow t 2))))
(* (pow t 2) (+ (* 1/2 (* x (sqrt 2))) (/ (* x (sqrt 2)) (pow t 2))))
(* (pow t 2) (+ (* 1/2 (* x (sqrt 2))) (/ (* x (sqrt 2)) (pow t 2))))
1/8
(+ 1/8 (* 1/48 (pow t 2)))
(+ 1/8 (* 1/48 (pow t 2)))
(+ 1/8 (* 1/48 (pow t 2)))
(* 1/48 (pow t 2))
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(* 1/48 (pow t 2))
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
1/2
(+ 1/2 (* 1/8 (pow t 2)))
(+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))
(+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))
(* 1/48 (pow t 4))
(* (pow t 4) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2))))))
(* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2))))))
(* 1/48 (pow t 4))
(* (pow t 4) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2))))))
(* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2))))))
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
Outputs
(* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z)))
(*.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 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 (sqrt.f64 z) (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))
(+ (* -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 (sqrt.f64 z) (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))
(+ (* -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 (sqrt.f64 z) (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x (sqrt.f64 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))))))))))))
(*.f64 x (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 (neg.f64 y) (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 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 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 (neg.f64 y) (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 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 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 (neg.f64 y) (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))))
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x (sqrt.f64 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)))))
(*.f64 x (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 (neg.f64 y) (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))))
(* -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)))))
(*.f64 x (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 (neg.f64 y) (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))))
(* -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)))))
(*.f64 x (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 (neg.f64 y) (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))))
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x (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 (sqrt.f64 z) (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))
(+ (* -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 (sqrt.f64 z) (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))
(+ (* -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 (sqrt.f64 z) (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))
(* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z)))
(*.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 y (sqrt.f64 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)))))
(*.f64 y (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 #s(literal 1/2 binary64) y) (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))))
(* 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)))))
(*.f64 y (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 #s(literal 1/2 binary64) y) (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))))
(* 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)))))
(*.f64 y (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 #s(literal 1/2 binary64) y) (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))))
(* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z)))
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(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (*.f64 #s(literal 1/2 binary64) x) x)))
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (*.f64 #s(literal 1/2 binary64) x) x)))
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (*.f64 #s(literal 1/2 binary64) x) x)))
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (*.f64 #s(literal 1/2 binary64) x) x)))
(* -1/2 (* (* x (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (sqrt z)))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(* -1/2 (* (* x (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (sqrt z)))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(* -1/2 (* (* x (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (sqrt z)))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(* -1/2 (* (* x (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (sqrt z)))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (*.f64 #s(literal 1/2 binary64) x) x))
(* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (*.f64 #s(literal 1/2 binary64) x) x))
(* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (*.f64 #s(literal 1/2 binary64) x) x))
(* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (*.f64 #s(literal 1/2 binary64) x) x))
(* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (*.f64 #s(literal 1/2 binary64) x) x))
(* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (*.f64 #s(literal 1/2 binary64) x) x))
(* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (*.f64 #s(literal 1/2 binary64) x) x))
(* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (*.f64 #s(literal 1/2 binary64) x) x))
(* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (*.f64 #s(literal 1/2 binary64) x) x))
(* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (*.f64 #s(literal 1/2 binary64) x) x))
(* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (*.f64 #s(literal 1/2 binary64) x) x))
(* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (*.f64 #s(literal 1/2 binary64) x) x))
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(+ (* 1/2 (* (pow t 2) (* x (sqrt 2)))) (* x (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (*.f64 #s(literal 1/2 binary64) x) x))
(+ (* 1/2 (* (pow t 2) (* x (sqrt 2)))) (* x (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (*.f64 #s(literal 1/2 binary64) x) x))
(+ (* 1/2 (* (pow t 2) (* x (sqrt 2)))) (* x (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (*.f64 #s(literal 1/2 binary64) x) x))
(* 1/2 (* (pow t 2) (* x (sqrt 2))))
(*.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)))
(* (pow t 2) (+ (* 1/2 (* x (sqrt 2))) (/ (* x (sqrt 2)) (pow t 2))))
(*.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (/.f64 x (*.f64 t t)))))
(* (pow t 2) (+ (* 1/2 (* x (sqrt 2))) (/ (* x (sqrt 2)) (pow t 2))))
(*.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (/.f64 x (*.f64 t t)))))
(* (pow t 2) (+ (* 1/2 (* x (sqrt 2))) (/ (* x (sqrt 2)) (pow t 2))))
(*.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (/.f64 x (*.f64 t t)))))
(* 1/2 (* (pow t 2) (* x (sqrt 2))))
(*.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)))
(* (pow t 2) (+ (* 1/2 (* x (sqrt 2))) (/ (* x (sqrt 2)) (pow t 2))))
(*.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (/.f64 x (*.f64 t t)))))
(* (pow t 2) (+ (* 1/2 (* x (sqrt 2))) (/ (* x (sqrt 2)) (pow t 2))))
(*.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (/.f64 x (*.f64 t t)))))
(* (pow t 2) (+ (* 1/2 (* x (sqrt 2))) (/ (* x (sqrt 2)) (pow t 2))))
(*.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (/.f64 x (*.f64 t t)))))
1/8
#s(literal 1/8 binary64)
(+ 1/8 (* 1/48 (pow t 2)))
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))
(+ 1/8 (* 1/48 (pow t 2)))
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))
(+ 1/8 (* 1/48 (pow t 2)))
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))
(* 1/48 (pow t 2))
(*.f64 (*.f64 t t) #s(literal 1/48 binary64))
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))
(* 1/48 (pow t 2))
(*.f64 (*.f64 t t) #s(literal 1/48 binary64))
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/8 (pow t 2)))
(fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))
(fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))
(fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(* 1/48 (pow t 4))
(*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/48 binary64)))
(* (pow t 4) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (+.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 t t))))
(* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2))))))
(*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 t t)) (+.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (*.f64 t t))))))
(* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2))))))
(*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 t t)) (+.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (*.f64 t t))))))
(* 1/48 (pow t 4))
(*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/48 binary64)))
(* (pow t 4) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (+.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 t t))))
(* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2))))))
(*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 t t)) (+.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (*.f64 t t))))))
(* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2))))))
(*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 t t)) (+.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (*.f64 t t))))))
(sqrt z)
(sqrt.f64 z)
(sqrt z)
(sqrt.f64 z)
(sqrt z)
(sqrt.f64 z)
(sqrt z)
(sqrt.f64 z)
(sqrt z)
(sqrt.f64 z)
(sqrt z)
(sqrt.f64 z)
(sqrt z)
(sqrt.f64 z)
(sqrt z)
(sqrt.f64 z)
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(sqrt.f64 z)
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(sqrt.f64 z)
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(sqrt.f64 z)
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(sqrt.f64 z)

eval288.0ms (1.4%)

Memory
-7.5MiB live, 353.0MiB allocated
Compiler

Compiled 44 498 to 2 581 computations (94.2% saved)

prune259.0ms (1.3%)

Memory
40.4MiB live, 431.4MiB allocated
Pruning

46 alts after pruning (43 fresh and 3 done)

PrunedKeptTotal
New1 449191 468
Fresh102434
Picked235
Done000
Total1 461461 507
Accuracy
100.0%
Counts
1 507 → 46
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.6%
(/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
24.9%
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 2 binary64) x))
✓54.5%
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y)))
32.2%
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -1 binary64) y))
32.1%
(/.f64 y (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
23.8%
(*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
54.5%
(*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (neg.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
81.4%
(*.f64 (fma.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 #s(literal 2 binary64) z))))
31.7%
(*.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (*.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (neg.f64 y))
54.4%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
95.8%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
88.6%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 t t) (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) z))))
84.1%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z))))
23.8%
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
23.8%
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
31.4%
(*.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
23.7%
(*.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -1/4 binary64)) (fma.f64 x #s(literal -1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
92.3%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
54.4%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
52.4%
(*.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
53.3%
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
29.7%
(*.f64 (*.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
58.0%
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
24.9%
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
51.2%
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (neg.f64 y))
32.1%
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y))
49.3%
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal -1/2 binary64) #s(literal -1 binary64))) (*.f64 y (sqrt.f64 z)))
47.8%
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (sqrt.f64 z))) (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64)))
✓24.5%
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
61.0%
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
32.1%
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
32.1%
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
24.8%
(*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))
28.2%
(*.f64 (*.f64 t t) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64))))
63.2%
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))
25.9%
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 t t)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z))))
12.7%
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 (*.f64 y (*.f64 y (neg.f64 y))) (fma.f64 y y #s(literal 0 binary64))))
32.5%
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 (*.f64 y (neg.f64 y)) y))
✓32.2%
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y))
84.1%
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
96.7%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))
49.4%
(*.f64 (neg.f64 (*.f64 y (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
65.9%
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))
57.9%
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x (sqrt.f64 z))))
51.2%
(neg.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) y)))
24.8%
(neg.f64 (*.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (*.f64 t (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))))))
Compiler

Compiled 2 083 to 874 computations (58% saved)

regimes345.0ms (1.7%)

Memory
-21.3MiB live, 500.5MiB allocated
Counts
80 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (neg.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y)))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 y (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 2 binary64) x))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) y)))
(*.f64 (neg.f64 (*.f64 y (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 (*.f64 y (neg.f64 y)) y))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (neg.f64 y))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z))))
(*.f64 (*.f64 (/.f64 (*.f64 y y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y)))
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
(*.f64 (fma.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 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 t t)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z))))
(*.f64 (*.f64 t t) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (sqrt.f64 z))) (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal -1/2 binary64) #s(literal -1 binary64))) (*.f64 y (sqrt.f64 z)))
(neg.f64 (*.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (*.f64 t (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))))))
(*.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(neg.f64 (*.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 (*.f64 y (*.f64 y (neg.f64 y))) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 (*.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 t t) (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) z))))
(/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) z)))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
(*.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (neg.f64 (fma.f64 y y #s(literal 0 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -1/4 binary64)) (fma.f64 x #s(literal -1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y)) (fma.f64 x #s(literal -1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 t t) (*.f64 t t)))))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x (sqrt.f64 z))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #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)) (neg.f64 y))
(*.f64 (*.f64 (neg.f64 y) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))))) (*.f64 (sqrt.f64 z) (*.f64 (fma.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 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (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 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) (fma.f64 x #s(literal 1/2 binary64) y))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) (*.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
Outputs
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))
Calls

13 calls:

43.0ms
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
28.0ms
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
26.0ms
t
26.0ms
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
26.0ms
x
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
99.8%1t
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)

regimes328.0ms (1.6%)

Memory
14.8MiB live, 566.1MiB allocated
Counts
69 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (neg.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y)))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 y (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 2 binary64) x))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) y)))
(*.f64 (neg.f64 (*.f64 y (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 (*.f64 y (neg.f64 y)) y))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (neg.f64 y))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z))))
(*.f64 (*.f64 (/.f64 (*.f64 y y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y)))
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
(*.f64 (fma.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 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 t t)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z))))
(*.f64 (*.f64 t t) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (sqrt.f64 z))) (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal -1/2 binary64) #s(literal -1 binary64))) (*.f64 y (sqrt.f64 z)))
(neg.f64 (*.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (*.f64 t (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))))))
(*.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(neg.f64 (*.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 (*.f64 y (*.f64 y (neg.f64 y))) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 (*.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 t t) (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) z))))
(/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) z)))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
(*.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (neg.f64 (fma.f64 y y #s(literal 0 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -1/4 binary64)) (fma.f64 x #s(literal -1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y)) (fma.f64 x #s(literal -1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 t t) (*.f64 t t)))))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x (sqrt.f64 z))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #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)) (neg.f64 y))
(*.f64 (*.f64 (neg.f64 y) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))))) (*.f64 (sqrt.f64 z) (*.f64 (fma.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 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))
Outputs
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))
Calls

13 calls:

40.0ms
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
38.0ms
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
31.0ms
z
31.0ms
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
25.0ms
t
Results
AccuracySegmentsBranch
96.7%1x
96.7%1y
96.7%1z
96.7%1t
96.7%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))))
96.7%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
96.7%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
96.7%1(*.f64 x #s(literal 1/2 binary64))
96.7%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
96.7%1(*.f64 z #s(literal 2 binary64))
96.7%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
96.7%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
96.7%1(*.f64 t t)
Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes2.1s (10.5%)

Memory
-38.7MiB live, 477.2MiB allocated
Counts
61 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (neg.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y)))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 y (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 2 binary64) x))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) y)))
(*.f64 (neg.f64 (*.f64 y (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 (*.f64 y (neg.f64 y)) y))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (neg.f64 y))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z))))
(*.f64 (*.f64 (/.f64 (*.f64 y y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y)))
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
(*.f64 (fma.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 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 t t)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z))))
(*.f64 (*.f64 t t) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (sqrt.f64 z))) (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal -1/2 binary64) #s(literal -1 binary64))) (*.f64 y (sqrt.f64 z)))
(neg.f64 (*.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (*.f64 t (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))))))
(*.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(neg.f64 (*.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 (*.f64 y (*.f64 y (neg.f64 y))) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 (*.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 t t) (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) z))))
(/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) z)))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
(*.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (neg.f64 (fma.f64 y y #s(literal 0 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -1/4 binary64)) (fma.f64 x #s(literal -1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y)) (fma.f64 x #s(literal -1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 t t) (*.f64 t t)))))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x (sqrt.f64 z))))
Outputs
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
Calls

13 calls:

941.0ms
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
911.0ms
z
49.0ms
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
37.0ms
(*.f64 x #s(literal 1/2 binary64))
34.0ms
(*.f64 t t)
Results
AccuracySegmentsBranch
95.8%1z
95.8%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
95.8%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
95.8%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
95.8%1(*.f64 z #s(literal 2 binary64))
95.8%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
95.8%1x
95.8%1y
95.8%1t
95.8%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))))
95.8%1(*.f64 x #s(literal 1/2 binary64))
95.8%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
95.8%1(*.f64 t t)
Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes303.0ms (1.5%)

Memory
16.2MiB live, 551.9MiB allocated
Counts
59 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (neg.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y)))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 y (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 2 binary64) x))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) y)))
(*.f64 (neg.f64 (*.f64 y (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 (*.f64 y (neg.f64 y)) y))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (neg.f64 y))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z))))
(*.f64 (*.f64 (/.f64 (*.f64 y y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y)))
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
(*.f64 (fma.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 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 t t)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z))))
(*.f64 (*.f64 t t) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (sqrt.f64 z))) (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal -1/2 binary64) #s(literal -1 binary64))) (*.f64 y (sqrt.f64 z)))
(neg.f64 (*.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (*.f64 t (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))))))
(*.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(neg.f64 (*.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 (*.f64 y (*.f64 y (neg.f64 y))) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 (*.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 t t) (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) z))))
(/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) z)))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
(*.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (neg.f64 (fma.f64 y y #s(literal 0 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -1/4 binary64)) (fma.f64 x #s(literal -1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y)) (fma.f64 x #s(literal -1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 t t) (*.f64 t t)))))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
Outputs
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
Calls

13 calls:

51.0ms
y
31.0ms
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
28.0ms
x
21.0ms
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
20.0ms
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
Results
AccuracySegmentsBranch
95.4%1t
95.4%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
95.4%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
95.4%1(*.f64 t t)
95.4%1x
95.4%1z
95.4%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))))
95.4%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
95.4%1(*.f64 x #s(literal 1/2 binary64))
95.4%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
95.4%1(*.f64 z #s(literal 2 binary64))
95.4%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
95.4%1y
Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes303.0ms (1.5%)

Memory
51.4MiB live, 498.3MiB allocated
Counts
58 → 2
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (neg.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y)))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 y (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 2 binary64) x))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) y)))
(*.f64 (neg.f64 (*.f64 y (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 (*.f64 y (neg.f64 y)) y))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (neg.f64 y))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z))))
(*.f64 (*.f64 (/.f64 (*.f64 y y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y)))
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
(*.f64 (fma.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 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 t t)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z))))
(*.f64 (*.f64 t t) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (sqrt.f64 z))) (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal -1/2 binary64) #s(literal -1 binary64))) (*.f64 y (sqrt.f64 z)))
(neg.f64 (*.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (*.f64 t (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))))))
(*.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(neg.f64 (*.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 (*.f64 y (*.f64 y (neg.f64 y))) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 (*.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 t t) (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) z))))
(/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) z)))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
(*.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (neg.f64 (fma.f64 y y #s(literal 0 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -1/4 binary64)) (fma.f64 x #s(literal -1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y)) (fma.f64 x #s(literal -1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 t t) (*.f64 t t)))))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
Outputs
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 t t) (*.f64 t t)))))
Calls

13 calls:

47.0ms
(*.f64 x #s(literal 1/2 binary64))
36.0ms
(*.f64 z #s(literal 2 binary64))
26.0ms
z
26.0ms
(*.f64 t t)
26.0ms
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
94.1%2t
92.3%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
94.1%2(/.f64 (*.f64 t t) #s(literal 2 binary64))
94.1%2(*.f64 t t)
92.3%1x
92.3%1z
92.3%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
92.3%1(*.f64 x #s(literal 1/2 binary64))
92.3%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
92.3%1(*.f64 z #s(literal 2 binary64))
94.1%2(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
92.3%1y
92.3%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))))
Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes136.0ms (0.7%)

Memory
-20.5MiB live, 279.2MiB allocated
Counts
56 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (neg.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y)))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 y (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 2 binary64) x))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) y)))
(*.f64 (neg.f64 (*.f64 y (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 (*.f64 y (neg.f64 y)) y))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (neg.f64 y))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z))))
(*.f64 (*.f64 (/.f64 (*.f64 y y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y)))
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
(*.f64 (fma.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 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 t t)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z))))
(*.f64 (*.f64 t t) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (sqrt.f64 z))) (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal -1/2 binary64) #s(literal -1 binary64))) (*.f64 y (sqrt.f64 z)))
(neg.f64 (*.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (*.f64 t (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))))))
(*.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(neg.f64 (*.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 (*.f64 y (*.f64 y (neg.f64 y))) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 (*.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 t t) (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) z))))
(/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) z)))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
(*.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (neg.f64 (fma.f64 y y #s(literal 0 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -1/4 binary64)) (fma.f64 x #s(literal -1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y)) (fma.f64 x #s(literal -1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
Outputs
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
Calls

7 calls:

34.0ms
(*.f64 t t)
18.0ms
(*.f64 z #s(literal 2 binary64))
17.0ms
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
17.0ms
z
17.0ms
t
Results
AccuracySegmentsBranch
92.3%1z
92.3%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
92.3%1(*.f64 z #s(literal 2 binary64))
92.3%1t
92.3%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
92.3%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
92.3%1(*.f64 t t)
Compiler

Compiled 51 to 41 computations (19.6% saved)

regimes289.0ms (1.4%)

Memory
-29.5MiB live, 373.5MiB allocated
Counts
50 → 2
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (neg.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y)))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 y (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 2 binary64) x))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) y)))
(*.f64 (neg.f64 (*.f64 y (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 (*.f64 y (neg.f64 y)) y))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (neg.f64 y))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z))))
(*.f64 (*.f64 (/.f64 (*.f64 y y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y)))
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
(*.f64 (fma.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 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 t t)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z))))
(*.f64 (*.f64 t t) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (sqrt.f64 z))) (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal -1/2 binary64) #s(literal -1 binary64))) (*.f64 y (sqrt.f64 z)))
(neg.f64 (*.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (*.f64 t (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))))))
(*.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(neg.f64 (*.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 (*.f64 y (*.f64 y (neg.f64 y))) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 (*.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 t t) (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) z))))
(/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) z)))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
(*.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (neg.f64 (fma.f64 y y #s(literal 0 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -1/4 binary64)) (fma.f64 x #s(literal -1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
Outputs
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 t t) (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (sqrt.f64 z) (*.f64 (fma.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))))
Calls

13 calls:

44.0ms
z
40.0ms
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
35.0ms
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
19.0ms
y
18.0ms
x
Results
AccuracySegmentsBranch
91.1%2(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
88.6%1x
90.4%2y
88.6%1t
88.6%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))))
88.6%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
88.6%1(*.f64 x #s(literal 1/2 binary64))
88.6%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
88.6%1(*.f64 t t)
88.6%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
90.4%2z
90.4%2(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
90.4%2(*.f64 z #s(literal 2 binary64))
Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes77.0ms (0.4%)

Memory
6.4MiB live, 163.9MiB allocated
Counts
47 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (neg.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y)))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 y (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 2 binary64) x))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) y)))
(*.f64 (neg.f64 (*.f64 y (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 (*.f64 y (neg.f64 y)) y))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (neg.f64 y))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z))))
(*.f64 (*.f64 (/.f64 (*.f64 y y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y)))
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
(*.f64 (fma.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 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 t t)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z))))
(*.f64 (*.f64 t t) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (sqrt.f64 z))) (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal -1/2 binary64) #s(literal -1 binary64))) (*.f64 y (sqrt.f64 z)))
(neg.f64 (*.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (*.f64 t (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))))))
(*.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(neg.f64 (*.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 (*.f64 y (*.f64 y (neg.f64 y))) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 (*.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 t t) (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) z))))
(/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) z)))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
Outputs
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 t t) (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) z))))
Calls

5 calls:

16.0ms
y
15.0ms
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
15.0ms
(*.f64 z #s(literal 2 binary64))
14.0ms
z
14.0ms
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
Results
AccuracySegmentsBranch
88.6%1y
88.6%1z
88.6%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
88.6%1(*.f64 z #s(literal 2 binary64))
88.6%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
Compiler

Compiled 34 to 28 computations (17.6% saved)

regimes214.0ms (1%)

Memory
27.5MiB live, 338.4MiB allocated
Counts
44 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (neg.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y)))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 y (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 2 binary64) x))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) y)))
(*.f64 (neg.f64 (*.f64 y (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 (*.f64 y (neg.f64 y)) y))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (neg.f64 y))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z))))
(*.f64 (*.f64 (/.f64 (*.f64 y y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y)))
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
(*.f64 (fma.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 #s(literal 2 binary64) z))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 t t)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z))))
(*.f64 (*.f64 t t) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (sqrt.f64 z))) (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal -1/2 binary64) #s(literal -1 binary64))) (*.f64 y (sqrt.f64 z)))
(neg.f64 (*.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (*.f64 t (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))))))
(*.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(neg.f64 (*.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 (*.f64 y (*.f64 y (neg.f64 y))) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 (*.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
Outputs
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z))))
Calls

13 calls:

33.0ms
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
27.0ms
(/.f64 (*.f64 t t) #s(literal 2 binary64))
18.0ms
x
15.0ms
t
15.0ms
(*.f64 x #s(literal 1/2 binary64))
Results
AccuracySegmentsBranch
84.1%1x
84.1%1z
84.1%1t
84.1%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))))
84.1%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
84.1%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
84.1%1(*.f64 x #s(literal 1/2 binary64))
84.1%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
84.1%1(*.f64 z #s(literal 2 binary64))
84.1%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
84.1%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
84.1%1(*.f64 t t)
84.1%1y
Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes171.0ms (0.8%)

Memory
-29.0MiB live, 283.2MiB allocated
Counts
28 → 3
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (neg.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y)))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 y (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 2 binary64) x))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) y)))
(*.f64 (neg.f64 (*.f64 y (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 (*.f64 y (neg.f64 y)) y))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (neg.f64 y))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
Outputs
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 (*.f64 y (neg.f64 y)) y))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (neg.f64 y))
Calls

13 calls:

43.0ms
x
22.0ms
(*.f64 x #s(literal 1/2 binary64))
11.0ms
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
11.0ms
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
11.0ms
(/.f64 (*.f64 t t) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
71.4%2(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
61.6%3x
62.6%3y
56.5%2z
74.1%3t
57.1%2(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
59.7%3(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
61.6%3(*.f64 x #s(literal 1/2 binary64))
56.5%2(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
56.5%2(*.f64 z #s(literal 2 binary64))
74.1%3(/.f64 (*.f64 t t) #s(literal 2 binary64))
74.1%3(*.f64 t t)
70.8%3(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes49.0ms (0.2%)

Memory
1.4MiB live, 80.7MiB allocated
Counts
25 → 2
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (neg.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y)))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 y (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 2 binary64) x))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) y)))
(*.f64 (neg.f64 (*.f64 y (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 (*.f64 y (neg.f64 y)) y))
Outputs
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) y)))
Calls

4 calls:

25.0ms
(*.f64 t t)
9.0ms
t
7.0ms
(/.f64 (*.f64 t t) #s(literal 2 binary64))
6.0ms
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
71.4%2(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
71.4%2t
71.4%2(/.f64 (*.f64 t t) #s(literal 2 binary64))
71.4%2(*.f64 t t)
Compiler

Compiled 31 to 24 computations (22.6% saved)

regimes206.0ms (1%)

Memory
-3.0MiB live, 152.9MiB allocated
Counts
21 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (neg.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y)))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 y (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 2 binary64) x))
Outputs
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
Calls

13 calls:

117.0ms
(*.f64 t t)
11.0ms
y
9.0ms
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
8.0ms
z
7.0ms
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
54.5%1z
54.5%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
54.5%1(*.f64 z #s(literal 2 binary64))
54.5%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
54.5%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
54.5%1x
54.5%1(*.f64 x #s(literal 1/2 binary64))
54.5%1y
54.5%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))))
54.5%1t
54.5%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
54.5%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
54.5%1(*.f64 t t)
Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes28.0ms (0.1%)

Memory
1.6MiB live, 77.5MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
Outputs
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y))
Calls

13 calls:

3.0ms
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
3.0ms
x
2.0ms
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
2.0ms
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
2.0ms
(*.f64 x #s(literal 1/2 binary64))
Results
AccuracySegmentsBranch
34.1%2z
35.6%3t
34.1%2(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
34.1%2(*.f64 z #s(literal 2 binary64))
32.2%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
32.2%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
32.2%1(*.f64 t t)
46.8%3y
32.2%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))))
43.2%3x
43.2%3(*.f64 x #s(literal 1/2 binary64))
32.2%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
32.2%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes12.0ms (0.1%)

Memory
-10.6MiB live, 32.7MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y))
Outputs
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y))
Calls

7 calls:

3.0ms
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
1.0ms
(*.f64 x #s(literal 1/2 binary64))
1.0ms
z
1.0ms
(*.f64 z #s(literal 2 binary64))
1.0ms
x
Results
AccuracySegmentsBranch
32.2%1z
32.2%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
32.2%1(*.f64 z #s(literal 2 binary64))
32.2%1t
32.2%1x
32.2%1(*.f64 x #s(literal 1/2 binary64))
32.2%1y
Compiler

Compiled 42 to 35 computations (16.7% saved)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.000249992501678
1.000426006291559
Compiler

Compiled 24 to 23 computations (4.2% saved)

bsearch0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
3.3094058365067754e+128
1.1395513593783208e+130
Compiler

Compiled 24 to 22 computations (8.3% saved)

bsearch25.0ms (0.1%)

Memory
23.3MiB live, 61.8MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
3.829407340952507e+167
9.458627495518241e+168
9.0ms
231997582716099.97
828247384897249.4
Samples
16.0ms192×0valid
Compiler

Compiled 410 to 324 computations (21% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 4.0ms (42.6% of total)
ival-sub: 1.0ms (10.6% of total)
ival-div: 1.0ms (10.6% of total)
ival-exp: 1.0ms (10.6% of total)
ival-sqrt: 1.0ms (10.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch13.0ms (0.1%)

Memory
-6.9MiB live, 30.7MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
11.0ms
0.000214045754091663
0.0004999225175185664
Samples
9.0ms80×0valid
Compiler

Compiled 184 to 152 computations (17.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 4.0ms (64.5% of total)
ival-exp: 1.0ms (16.1% of total)
ival-sqrt: 1.0ms (16.1% of total)
ival-sub: 0.0ms (0% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch43.0ms (0.2%)

Memory
-16.4MiB live, 77.6MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
21.0ms
5.560559647413747e-87
1.4747454471661821e-86
19.0ms
-9.284739825610267e-130
-9.06635152623437e-137
Samples
21.0ms224×0valid
Compiler

Compiled 388 to 316 computations (18.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 6.0ms (41.8% of total)
ival-div: 3.0ms (20.9% of total)
ival-exp: 2.0ms (13.9% of total)
ival-sqrt: 2.0ms (13.9% of total)
ival-sub: 1.0ms (7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify18.0ms (0.1%)

Memory
-14.7MiB live, 23.9MiB allocated
Algorithm
1×egg-herbie
Rules
96×*-commutative_binary64
26×sub-neg_binary64
24×+-commutative_binary64
24×neg-sub0_binary64
24×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
095371
1156371
2188371
3217371
4234371
5239371
6240371
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #s(literal 1126350266805361/1125899906842624 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 t t) (*.f64 t t))))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal 499999999999999999108721782092620707994464434379706250218271669864970200952952324748557883071134280004888587983375832688116105216 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 t t) (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) z)))) (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 t t) (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z))))
(if (<=.f64 (*.f64 t t) #s(literal 245000000000000 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (if (<=.f64 (*.f64 t t) #s(literal 389999999999999978395532963656821672941943396347156207095862019635126182751458373737071308110363349647242394471039744528595314200520367881177077195840757269083325464576 binary64)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 (*.f64 y (neg.f64 y)) y)) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (neg.f64 y))))
(if (<=.f64 (*.f64 t t) #s(literal 564931537257355/1152921504606846976 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) y))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(if (<=.f64 y #s(literal -412070808641711/24973988402527937851052777838345330445988785141319769206873255677002973910558124960962448824507935769278615448971252983163583805434306282450321408 binary64)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)) (if (<=.f64 y #s(literal 6439266133761187/559936185544451052639360570142111069530411374308662383724997275240947967795040236345219373317901778944 binary64)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y))
Outputs
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(if (<=.f64 (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #s(literal 1126350266805361/1125899906842624 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 t t) (*.f64 t t))))))
(if (<=.f64 (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #s(literal 1126350266805361/1125899906842624 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 t t) (*.f64 t t))))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal 499999999999999999108721782092620707994464434379706250218271669864970200952952324748557883071134280004888587983375832688116105216 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 t t) (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) z)))) (*.f64 (sqrt.f64 z) (*.f64 (fma.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)))))
(if (<=.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal 499999999999999999108721782092620707994464434379706250218271669864970200952952324748557883071134280004888587983375832688116105216 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 t t) (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) z)))) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.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 (fma.f64 (*.f64 t t) (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) z))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z))))
(if (<=.f64 (*.f64 t t) #s(literal 245000000000000 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (if (<=.f64 (*.f64 t t) #s(literal 389999999999999978395532963656821672941943396347156207095862019635126182751458373737071308110363349647242394471039744528595314200520367881177077195840757269083325464576 binary64)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 (*.f64 y (neg.f64 y)) y)) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (neg.f64 y))))
(if (<=.f64 (*.f64 t t) #s(literal 245000000000000 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (if (<=.f64 (*.f64 t t) #s(literal 389999999999999978395532963656821672941943396347156207095862019635126182751458373737071308110363349647242394471039744528595314200520367881177077195840757269083325464576 binary64)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 (*.f64 y (neg.f64 y)) y)) (*.f64 y (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))))))
(if (<=.f64 (*.f64 t t) #s(literal 564931537257355/1152921504606846976 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) y))))
(if (<=.f64 (*.f64 t t) #s(literal 564931537257355/1152921504606846976 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (neg.f64 y) (fma.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 #s(literal 2 binary64) z)))
(if (<=.f64 y #s(literal -412070808641711/24973988402527937851052777838345330445988785141319769206873255677002973910558124960962448824507935769278615448971252983163583805434306282450321408 binary64)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)) (if (<=.f64 y #s(literal 6439266133761187/559936185544451052639360570142111069530411374308662383724997275240947967795040236345219373317901778944 binary64)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y))))
(if (<=.f64 y #s(literal -412070808641711/24973988402527937851052777838345330445988785141319769206873255677002973910558124960962448824507935769278615448971252983163583805434306282450321408 binary64)) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (if (<=.f64 y #s(literal 6439266133761187/559936185544451052639360570142111069530411374308662383724997275240947967795040236345219373317901778944 binary64)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y))
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))

soundness2.2s (10.9%)

Memory
31.7MiB live, 1 529.1MiB allocated
Rules
18 894×accelerator-lowering-fma.f32
18 894×accelerator-lowering-fma.f64
13 230×accelerator-lowering-fma.f32
13 230×accelerator-lowering-fma.f64
11 846×accelerator-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042151
1210151
21631151
09020142
057012895
1198711505
2713211445
0832310880
03475787
111115299
237265068
379175068
087414806
01362087
14541608
215801515
344681512
088481500
041177
1189174
21462170
09913159
038250
1184249
21239249
08325239
01540
15439
227639
3234339
0860639
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 1 047 to 585 computations (44.1% saved)

preprocess343.0ms (1.7%)

Memory
18.8MiB live, 286.6MiB allocated
Remove

(abs t)

Compiler

Compiled 1 040 to 384 computations (63.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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