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

Time bar (total: 44.4s)

analyze96.0ms (0.2%)

Memory
-5.8MiB live, 192.5MiB 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)

sample26.9s (60.7%)

Memory
42.4MiB live, 1 933.7MiB allocated
Samples
15.1s2 040×0invalid
11.4s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 25.9s
ival-mult: 25.2s (97.4% of total)
ival-sub: 297.0ms (1.1% of total)
ival-exp: 156.0ms (0.6% of total)
ival-div: 108.0ms (0.4% of total)
ival-sqrt: 83.0ms (0.3% of total)
exact: 11.0ms (0% of total)
ival-true: 8.0ms (0% of total)
ival-assert: 4.0ms (0% of total)
Bogosity

preprocess155.0ms (0.3%)

Memory
-53.4MiB live, 221.2MiB 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)

explain207.0ms (0.5%)

Memory
0.5MiB live, 430.0MiB 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
-01255
Precision?
0.0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-010
Precision?
0.0
Recall?
0/0
Samples
91.0ms512×0valid
Compiler

Compiled 170 to 64 computations (62.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-mult: 53.0ms (77.9% of total)
ival-sqrt: 5.0ms (7.3% of total)
ival-exp: 4.0ms (5.9% of total)
ival-div: 3.0ms (4.4% of total)
ival-sub: 2.0ms (2.9% of total)
exact: 1.0ms (1.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Compiler

Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory
2.5MiB live, 2.5MiB 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)

simplify90.0ms (0.2%)

Memory
15.8MiB live, 149.1MiB 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

localize42.0ms (0.1%)

Memory
-0.5MiB live, 115.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓accuracy100.0%
(/.f64 (*.f64 t t) #s(literal 2 binary64))
✓accuracy100.0%
(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
25.0ms256×0valid
Compiler

Compiled 64 to 17 computations (73.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 8.0ms (54.7% 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 (6.8% 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%)

Memory
2.2MiB live, 43.8MiB allocated
Counts
6 → 144
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 (/ (* t t) 2)>
#<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 (* 1/2 (pow t 2))>
#<alt (* 1/2 (pow t 2))>
#<alt (* 1/2 (pow t 2))>
#<alt (* 1/2 (pow t 2))>
#<alt (* 1/2 (pow t 2))>
#<alt (* 1/2 (pow t 2))>
#<alt (* 1/2 (pow t 2))>
#<alt (* 1/2 (pow t 2))>
#<alt (* 1/2 (pow t 2))>
#<alt (* 1/2 (pow t 2))>
#<alt (* 1/2 (pow t 2))>
#<alt (* 1/2 (pow t 2))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))>
Calls

36 calls:

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

rewrite402.0ms (0.9%)

Memory
-6.9MiB live, 662.5MiB 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
01545
15444
227644
3234344
0860644
Stop Event
1×iter limit
1×node limit
Counts
6 → 458
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)
(/ (* t t) 2)
(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))))
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(*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 t t))
(*.f64 (*.f64 t (neg.f64 t)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))
(*.f64 (*.f64 t #s(literal 1/2 binary64)) t)
(*.f64 (*.f64 t #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 t) (/.f64 t #s(literal -2 binary64)))
(*.f64 (neg.f64 t) (*.f64 t #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 t (neg.f64 t)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 t t)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (*.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)))
(*.f64 (*.f64 #s(literal 1 binary64) t) (*.f64 t #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 t (neg.f64 t))) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 t t)) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(exp.f64 (*.f64 #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)))

simplify527.0ms (1.2%)

Memory
-12.0MiB live, 749.6MiB 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
01362147
14541668
215801575
344681572
088481560
Stop Event
1×iter limit
1×node limit
Counts
144 → 144
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)))))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* (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))))
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(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (pow t 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 t t))
(* 1/2 (pow t 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 t t))
(* 1/2 (pow t 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 t t))
(* 1/2 (pow t 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 t t))
(* 1/2 (pow t 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 t t))
(* 1/2 (pow t 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 t t))
(* 1/2 (pow t 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 t t))
(* 1/2 (pow t 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 t t))
(* 1/2 (pow t 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 t t))
(* 1/2 (pow t 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 t t))
(* 1/2 (pow t 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 t t))
(* 1/2 (pow t 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 t t))
(* (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)))))

eval114.0ms (0.3%)

Memory
30.3MiB live, 104.5MiB allocated
Compiler

Compiled 21 272 to 1 822 computations (91.4% saved)

prune341.0ms (0.8%)

Memory
-10.0MiB live, 144.4MiB allocated
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New58616602
Fresh000
Picked101
Done000
Total58716603
Accuracy
100.0%
Counts
603 → 16
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)))))
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)))
99.8%
(/.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))))))))
▶99.1%
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) x) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
▶99.8%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))
78.4%
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))))
99.6%
(*.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))))
94.7%
(*.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)))
▶94.3%
(*.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)))
86.5%
(*.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)))
▶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 1/2 binary64))))
▶57.3%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
99.6%
(*.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))
94.4%
(*.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))))))
88.5%
(*.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))))
57.1%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
Compiler

Compiled 798 to 534 computations (33.1% saved)

simplify740.0ms (1.7%)

Memory
-11.1MiB live, 393.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) x)
✓cost-diff0
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) x) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
✓cost-diff384
(/.f64 (*.f64 t t) #s(literal 2 binary64))
✓cost-diff1280
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) x) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)))
✓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))))))
✓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-diff128
(*.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)))
✓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
(*.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)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
Rules
13 500×accelerator-lowering-fma.f32
13 500×accelerator-lowering-fma.f64
4 414×*-lowering-*.f32
4 414×*-lowering-*.f64
2 426×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039314
1100310
2264310
3879310
42689310
55059310
08324304
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (* (* t t) 1/2)))
(* (- (* 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) 1/2))
(* (* t t) 1/2)
(* t t)
t
(* (* (- (* x 1/2) y) (sqrt (* z 2))) 1)
(* (- (* x 1/2) y) (sqrt (* z 2)))
(- (* x 1/2) y)
(* x 1/2)
x
1/2
y
(sqrt (* z 2))
(* z 2)
z
2
1
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (+ (* (* t t) (+ (* t (* t 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 1/8)) 1/2)) 1)
(* t t)
t
(+ (* t (* t 1/8)) 1/2)
(* t 1/8)
1/8
1
(* (- (* 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
(* (+ (* (* (sqrt (* 2 z)) x) 1/2) (* (sqrt (* 2 z)) (neg y))) (exp (/ (* t t) 2)))
(+ (* (* (sqrt (* 2 z)) x) 1/2) (* (sqrt (* 2 z)) (neg y)))
(* (sqrt (* 2 z)) x)
(sqrt (* 2 z))
(* 2 z)
2
z
x
1/2
(* (sqrt (* 2 z)) (neg y))
(neg y)
y
(exp (/ (* t t) 2))
(/ (* t t) 2)
(* t t)
t
Outputs
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (* (* t t) 1/2)))
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))))
(* (- (* x 1/2) y) (sqrt (* z 2)))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(- (* 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 (* 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) 1/2))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))
(* (* t t) 1/2)
(*.f64 #s(literal 1/2 binary64) (*.f64 t t))
(* t t)
(*.f64 t t)
t
(* (* (- (* x 1/2) y) (sqrt (* z 2))) 1)
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(* (- (* x 1/2) y) (sqrt (* z 2)))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(- (* 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 (* z 2))
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(* z 2)
(*.f64 z #s(literal 2 binary64))
z
2
#s(literal 2 binary64)
1
#s(literal 1 binary64)
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (+ (* (* t t) (+ (* t (* t 1/8)) 1/2)) 1))
(*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (*.f64 (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))))
(* (- (* x 1/2) y) (sqrt (* z 2)))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(- (* 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 (* 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 1/8)) 1/2)) 1)
(fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* t t)
(*.f64 t t)
t
(+ (* t (* t 1/8)) 1/2)
(fma.f64 t (*.f64 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)
1
#s(literal 1 binary64)
(* (- (* x 1/2) y) (sqrt (* 2 (* z (exp (* t t))))))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))))
(- (* 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 (* z (exp (* t t)))))
(sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))
(* 2 (* z (exp (* t t))))
(*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))
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
(* (+ (* (* (sqrt (* 2 z)) x) 1/2) (* (sqrt (* 2 z)) (neg y))) (exp (/ (* t t) 2)))
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))))
(+ (* (* (sqrt (* 2 z)) x) 1/2) (* (sqrt (* 2 z)) (neg y)))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(* (sqrt (* 2 z)) x)
(*.f64 x (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
x
1/2
#s(literal 1/2 binary64)
(* (sqrt (* 2 z)) (neg y))
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 y))
(neg y)
(neg.f64 y)
y
(exp (/ (* t t) 2))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))
(/ (* t t) 2)
(*.f64 #s(literal 1/2 binary64) (*.f64 t t))
(* t t)
(*.f64 t t)
t

localize345.0ms (0.8%)

Memory
2.0MiB live, 325.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
✓accuracy99.7%
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y))
✓accuracy99.6%
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) x)
✓accuracy99.3%
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) x) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))
✓accuracy100.0%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))
✓accuracy100.0%
(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))))))
✓accuracy100.0%
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓accuracy99.9%
(fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓accuracy99.6%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
✓accuracy99.2%
(*.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)))
✓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%
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓accuracy100.0%
(*.f64 (*.f64 t t) #s(literal 1/2 binary64))
✓accuracy100.0%
(exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))
✓accuracy99.6%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
Samples
73.0ms256×0valid
Compiler

Compiled 323 to 41 computations (87.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-mult: 26.0ms (55.7% of total)
ival-exp: 6.0ms (12.9% of total)
ival-sqrt: 5.0ms (10.7% of total)
ival-add: 3.0ms (6.4% of total)
ival-div: 2.0ms (4.3% of total)
ival-neg: 2.0ms (4.3% of total)
ival-sub: 1.0ms (2.1% of total)
exact: 1.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series162.0ms (0.4%)

Memory
-0.1MiB live, 112.2MiB allocated
Counts
21 → 528
Calls
Call 1
Inputs
#<alt (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (* (* t t) 1/2)))>
#<alt (* (- (* x 1/2) y) (sqrt (* z 2)))>
#<alt (- (* x 1/2) y)>
#<alt (* x 1/2)>
#<alt (* (* (- (* x 1/2) y) (sqrt (* z 2))) 1)>
#<alt (* (* (- (* x 1/2) y) (sqrt (* z 2))) (+ (* (* t t) (+ (* t (* t 1/8)) 1/2)) 1))>
#<alt (* (- (* x 1/2) y) (sqrt (* 2 (* z (exp (* t t))))))>
#<alt (sqrt (* 2 (* z (exp (* t t)))))>
#<alt (+ (* (* (sqrt (* 2 z)) x) 1/2) (* (sqrt (* 2 z)) (neg y)))>
#<alt (/ (* t t) 2)>
#<alt (* (+ (* (* (sqrt (* 2 z)) x) 1/2) (* (sqrt (* 2 z)) (neg y))) (exp (/ (* t t) 2)))>
#<alt (* (sqrt (* 2 z)) x)>
#<alt (exp (* (* t t) 1/2))>
#<alt (* (* t t) 1/2)>
#<alt (sqrt (* z 2))>
#<alt (* z 2)>
#<alt (+ (* (* t t) (+ (* t (* t 1/8)) 1/2)) 1)>
#<alt (exp (* t t))>
#<alt (* 2 (* z (exp (* t t))))>
#<alt (* (sqrt (* 2 z)) (neg y))>
#<alt (exp (/ (* t t) 2))>
Outputs
#<alt (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))>
#<alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))>
#<alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))>
#<alt (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<alt (* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))>
#<alt (* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))>
#<alt (* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))>
#<alt (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))>
#<alt (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))>
#<alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))>
#<alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))>
#<alt (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<alt (* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))>
#<alt (* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))>
#<alt (* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))>
#<alt (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))>
#<alt (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))>
#<alt (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))>
#<alt (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))>
#<alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))>
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))>
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))>
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))>
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))>
#<alt (* -1 y)>
#<alt (- (* 1/2 x) y)>
#<alt (- (* 1/2 x) y)>
#<alt (- (* 1/2 x) y)>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1 (/ y x))))>
#<alt (* x (+ 1/2 (* -1 (/ y x))))>
#<alt (* x (+ 1/2 (* -1 (/ y x))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (/ y x) 1/2)))>
#<alt (* -1 (* x (- (/ y x) 1/2)))>
#<alt (* -1 (* x (- (/ y x) 1/2)))>
#<alt (* 1/2 x)>
#<alt (+ (* -1 y) (* 1/2 x))>
#<alt (+ (* -1 y) (* 1/2 x))>
#<alt (+ (* -1 y) (* 1/2 x))>
#<alt (* -1 y)>
#<alt (* y (- (* 1/2 (/ x y)) 1))>
#<alt (* y (- (* 1/2 (/ x y)) 1))>
#<alt (* y (- (* 1/2 (/ x y)) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1/2 (/ x y)))))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* -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 (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))>
#<alt (+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z))))>
#<alt (+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z))))>
#<alt (+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z))))>
#<alt (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))>
#<alt (* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))))))>
#<alt (* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))))))>
#<alt (* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))))))>
#<alt (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))))) (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) x) (sqrt z)))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))))) (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) x) (sqrt z)))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))))) (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) x) (sqrt z)))))>
#<alt (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))>
#<alt (+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z))))>
#<alt (+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z))))>
#<alt (+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z))))>
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))>
#<alt (* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))))) (* 1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) y) (sqrt z)))))>
#<alt (* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))))) (* 1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) y) (sqrt z)))))>
#<alt (* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))))) (* 1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) y) (sqrt z)))))>
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z)))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) y) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))))))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) y) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))))))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))) y) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))))))))>
#<alt (* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) (- (* 1/2 x) y))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (* (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) (- (* 1/2 x) y))))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (* (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) (- (* 1/2 x) y))))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (* (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) (- (* 1/2 x) y))))))>
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#<alt (* (exp (* 1/2 (pow t 2))) (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))))>
#<alt (* (* x (sqrt 2)) (sqrt z))>
#<alt (* (* x (sqrt 2)) (sqrt z))>
#<alt (* (* x (sqrt 2)) (sqrt z))>
#<alt (* (* x (sqrt 2)) (sqrt z))>
#<alt (* (* x (sqrt 2)) (sqrt z))>
#<alt (* (* x (sqrt 2)) (sqrt z))>
#<alt (* (* x (sqrt 2)) (sqrt z))>
#<alt (* (* x (sqrt 2)) (sqrt z))>
#<alt (* -1 (* (* x (* (sqrt -2) (sqrt -1))) (sqrt z)))>
#<alt (* -1 (* (* x (* (sqrt -2) (sqrt -1))) (sqrt z)))>
#<alt (* -1 (* (* x (* (sqrt -2) (sqrt -1))) (sqrt z)))>
#<alt (* -1 (* (* x (* (sqrt -2) (sqrt -1))) (sqrt z)))>
#<alt (* (* x (sqrt 2)) (sqrt z))>
#<alt (* (* x (sqrt 2)) (sqrt z))>
#<alt (* (* x (sqrt 2)) (sqrt z))>
#<alt (* (* x (sqrt 2)) (sqrt z))>
#<alt (* (* x (sqrt 2)) (sqrt z))>
#<alt (* (* x (sqrt 2)) (sqrt z))>
#<alt (* (* x (sqrt 2)) (sqrt z))>
#<alt (* (* x (sqrt 2)) (sqrt z))>
#<alt (* (* x (sqrt 2)) (sqrt z))>
#<alt (* (* x (sqrt 2)) (sqrt z))>
#<alt (* (* x (sqrt 2)) (sqrt z))>
#<alt (* (* x (sqrt 2)) (sqrt z))>
#<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 (* 1/2 (pow t 2))>
#<alt (* 1/2 (pow t 2))>
#<alt (* 1/2 (pow t 2))>
#<alt (* 1/2 (pow t 2))>
#<alt (* 1/2 (pow t 2))>
#<alt (* 1/2 (pow t 2))>
#<alt (* 1/2 (pow t 2))>
#<alt (* 1/2 (pow t 2))>
#<alt (* 1/2 (pow t 2))>
#<alt (* 1/2 (pow t 2))>
#<alt (* 1/2 (pow t 2))>
#<alt (* 1/2 (pow t 2))>
#<alt (* (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>
#<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 (* 1/8 (pow t 2)))))>
#<alt (* 1/8 (pow t 4))>
#<alt (* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))>
#<alt (* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))>
#<alt (* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))>
#<alt (* 1/8 (pow t 4))>
#<alt (* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))>
#<alt (* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))>
#<alt (* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))>
#<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 (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 z)>
#<alt (+ (* 2 z) (* 2 (* (pow t 2) z)))>
#<alt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) z))))>
#<alt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (+ z (* 1/3 (* (pow t 2) z)))))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* 2 (* z (exp (pow t 2))))>
#<alt (* -1 (* (* 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>
#<alt (+ 1 (* 1/2 (pow t 2)))>
#<alt (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))>
#<alt (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
Calls

132 calls:

TimeVariablePointExpression
108.0ms
x
@0
(+ (* (* (sqrt (* 2 z)) x) 1/2) (* (sqrt (* 2 z)) (neg y)))
6.0ms
y
@inf
(* (+ (* (* (sqrt (* 2 z)) x) 1/2) (* (sqrt (* 2 z)) (neg y))) (exp (/ (* t t) 2)))
4.0ms
t
@inf
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (+ (* (* t t) (+ (* t (* t 1/8)) 1/2)) 1))
4.0ms
x
@-inf
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (+ (* (* t t) (+ (* t (* t 1/8)) 1/2)) 1))
1.0ms
z
@-inf
(+ (* (* (sqrt (* 2 z)) x) 1/2) (* (sqrt (* 2 z)) (neg y)))

rewrite598.0ms (1.3%)

Memory
33.8MiB live, 1 102.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
8 906×accelerator-lowering-fma.f32
8 906×accelerator-lowering-fma.f64
5 942×*-lowering-*.f32
5 942×*-lowering-*.f64
4 196×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039184
1169181
21100181
09006177
Stop Event
1×iter limit
1×node limit
Counts
21 → 1 426
Calls
Call 1
Inputs
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (* (* t t) 1/2)))
(* (- (* x 1/2) y) (sqrt (* z 2)))
(- (* x 1/2) y)
(* x 1/2)
(* (* (- (* x 1/2) y) (sqrt (* z 2))) 1)
(* (* (- (* x 1/2) y) (sqrt (* z 2))) (+ (* (* t t) (+ (* t (* t 1/8)) 1/2)) 1))
(* (- (* x 1/2) y) (sqrt (* 2 (* z (exp (* t t))))))
(sqrt (* 2 (* z (exp (* t t)))))
(+ (* (* (sqrt (* 2 z)) x) 1/2) (* (sqrt (* 2 z)) (neg y)))
(/ (* t t) 2)
(* (+ (* (* (sqrt (* 2 z)) x) 1/2) (* (sqrt (* 2 z)) (neg y))) (exp (/ (* t t) 2)))
(* (sqrt (* 2 z)) x)
(exp (* (* t t) 1/2))
(* (* t t) 1/2)
(sqrt (* z 2))
(* z 2)
(+ (* (* t t) (+ (* t (* t 1/8)) 1/2)) 1)
(exp (* t t))
(* 2 (* z (exp (* t t))))
(* (sqrt (* 2 z)) (neg y))
(exp (/ (* t t) 2))
Outputs
(+.f64 (*.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) (neg.f64 y)))
(+.f64 (*.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) (neg.f64 y)) (*.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) (*.f64 x #s(literal 1/2 binary64))))
(+.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 y))))
(+.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 y))) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))))
(+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))))
(+.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))))
(+.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 y)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 y)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) (neg.f64 y))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 y)))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 y)))) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 y)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 y)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) (neg.f64 y)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64)) (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 y))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 y))) #s(literal 1 binary64)) (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))) #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 y)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 y)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) #s(literal 1 binary64)))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))))
(fma.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 y))))
(fma.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 y)) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))))
(fma.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) (neg.f64 y))))
(fma.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 y)))))
(fma.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 y))) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))))))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 y)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))))))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 y)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))))))
(fma.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) (*.f64 x #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) (neg.f64 y)))
(fma.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) (neg.f64 y) (*.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) (*.f64 x #s(literal 1/2 binary64))))
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(pow.f64 (*.f64 (exp.f64 (*.f64 t t)) (exp.f64 (*.f64 t t))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (exp.f64 t) (exp.f64 t)) (*.f64 #s(literal 1/2 binary64) t))
(pow.f64 (*.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 #s(literal 1/2 binary64))) (*.f64 t t))
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(-.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
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(fma.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 y)))
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(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 t t))))

simplify586.0ms (1.3%)

Memory
-31.3MiB live, 1 056.4MiB allocated
Algorithm
1×egg-herbie
Rules
14 390×accelerator-lowering-fma.f32
14 390×accelerator-lowering-fma.f64
8 570×*-lowering-*.f32
8 570×*-lowering-*.f64
2 722×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03469525
112507986
249047415
082317241
Stop Event
1×iter limit
1×node limit
Counts
528 → 528
Calls
Call 1
Inputs
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
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(* -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)))
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(* -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)))))))
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(* (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))))
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(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
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(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
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(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
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(* 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)))))
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(* 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)))
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(+ (* -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)))))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* (exp (* 1/2 (pow t 2))) (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))))
(* (exp (* 1/2 (pow t 2))) (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))))
(* (exp (* 1/2 (pow t 2))) (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))))
(* (exp (* 1/2 (pow t 2))) (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))))
(* z (* (exp (* 1/2 (pow t 2))) (+ (* -1 (* (* y (sqrt 2)) (sqrt (/ 1 z)))) (* 1/2 (* (* x (sqrt 2)) (sqrt (/ 1 z)))))))
(* z (* (exp (* 1/2 (pow t 2))) (+ (* -1 (* (* y (sqrt 2)) (sqrt (/ 1 z)))) (* 1/2 (* (* x (sqrt 2)) (sqrt (/ 1 z)))))))
(* z (* (exp (* 1/2 (pow t 2))) (+ (* -1 (* (* y (sqrt 2)) (sqrt (/ 1 z)))) (* 1/2 (* (* x (sqrt 2)) (sqrt (/ 1 z)))))))
(* z (* (exp (* 1/2 (pow t 2))) (+ (* -1 (* (* y (sqrt 2)) (sqrt (/ 1 z)))) (* 1/2 (* (* x (sqrt 2)) (sqrt (/ 1 z)))))))
(* -1 (* z (* (exp (* 1/2 (pow t 2))) (+ (* -1 (* (* y (* (sqrt -2) (sqrt -1))) (sqrt (/ 1 z)))) (* 1/2 (* (* x (* (sqrt -2) (sqrt -1))) (sqrt (/ 1 z))))))))
(* -1 (* z (* (exp (* 1/2 (pow t 2))) (+ (* -1 (* (* y (* (sqrt -2) (sqrt -1))) (sqrt (/ 1 z)))) (* 1/2 (* (* x (* (sqrt -2) (sqrt -1))) (sqrt (/ 1 z))))))))
(* -1 (* z (* (exp (* 1/2 (pow t 2))) (+ (* -1 (* (* y (* (sqrt -2) (sqrt -1))) (sqrt (/ 1 z)))) (* 1/2 (* (* x (* (sqrt -2) (sqrt -1))) (sqrt (/ 1 z))))))))
(* -1 (* z (* (exp (* 1/2 (pow t 2))) (+ (* -1 (* (* y (* (sqrt -2) (sqrt -1))) (sqrt (/ 1 z)))) (* 1/2 (* (* x (* (sqrt -2) (sqrt -1))) (sqrt (/ 1 z))))))))
(* -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))))))
(+ (* -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 (* (pow t 2) (+ (* -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))) (* (pow t 2) (+ (* 1/8 (* (pow t 2) (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))))) (* 1/2 (+ (* -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))) (* (pow t 2) (+ (* 1/2 (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))) (* (pow t 2) (+ (* 1/48 (* (pow t 2) (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))))) (* 1/8 (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))))))))))
(* (exp (* 1/2 (pow t 2))) (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))))
(* (exp (* 1/2 (pow t 2))) (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))))
(* (exp (* 1/2 (pow t 2))) (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))))
(* (exp (* 1/2 (pow t 2))) (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))))
(* (exp (* 1/2 (pow t 2))) (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))))
(* (exp (* 1/2 (pow t 2))) (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))))
(* (exp (* 1/2 (pow t 2))) (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))))
(* (exp (* 1/2 (pow t 2))) (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))))
(* (* x (sqrt 2)) (sqrt z))
(* (* x (sqrt 2)) (sqrt z))
(* (* x (sqrt 2)) (sqrt z))
(* (* x (sqrt 2)) (sqrt z))
(* (* x (sqrt 2)) (sqrt z))
(* (* x (sqrt 2)) (sqrt z))
(* (* x (sqrt 2)) (sqrt z))
(* (* x (sqrt 2)) (sqrt z))
(* -1 (* (* x (* (sqrt -2) (sqrt -1))) (sqrt z)))
(* -1 (* (* x (* (sqrt -2) (sqrt -1))) (sqrt z)))
(* -1 (* (* x (* (sqrt -2) (sqrt -1))) (sqrt z)))
(* -1 (* (* x (* (sqrt -2) (sqrt -1))) (sqrt z)))
(* (* x (sqrt 2)) (sqrt z))
(* (* x (sqrt 2)) (sqrt z))
(* (* x (sqrt 2)) (sqrt z))
(* (* x (sqrt 2)) (sqrt z))
(* (* x (sqrt 2)) (sqrt z))
(* (* x (sqrt 2)) (sqrt z))
(* (* x (sqrt 2)) (sqrt z))
(* (* x (sqrt 2)) (sqrt z))
(* (* x (sqrt 2)) (sqrt z))
(* (* x (sqrt 2)) (sqrt z))
(* (* x (sqrt 2)) (sqrt z))
(* (* x (sqrt 2)) (sqrt z))
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)))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
1
(+ 1 (* 1/2 (pow t 2)))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(* 1/8 (pow t 4))
(* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))
(* 1/8 (pow t 4))
(* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))
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 (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* 2 z)
(+ (* 2 z) (* 2 (* (pow t 2) z)))
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) z))))
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (+ z (* 1/3 (* (pow t 2) z)))))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* 2 (* z (exp (pow t 2))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* (* y (* (sqrt -2) (sqrt -1))) (sqrt z))
(* (* y (* (sqrt -2) (sqrt -1))) (sqrt z))
(* (* y (* (sqrt -2) (sqrt -1))) (sqrt z))
(* (* y (* (sqrt -2) (sqrt -1))) (sqrt z))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
1
(+ 1 (* 1/2 (pow t 2)))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
Outputs
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (sqrt.f64 z) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (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 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (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 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(*.f64 x (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))))
(* 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 (sqrt.f64 z) (fma.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) x))) (neg.f64 x))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) x))) (neg.f64 x))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) x))) (neg.f64 x))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(*.f64 x (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))))
(* -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 (sqrt.f64 z) (fma.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) x))) (neg.f64 x))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) x))) (neg.f64 x))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) x))) (neg.f64 x))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(*.f64 x (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))))
(+ (* -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 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (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))))
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(* -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)))
(*.f64 (sqrt.f64 z) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64)))))
(* -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)))
(*.f64 (sqrt.f64 z) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64)))))
(* -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)))
(*.f64 (sqrt.f64 z) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64)))))
(* -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)))
(*.f64 (sqrt.f64 z) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64)))))
(* -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)))
(*.f64 (sqrt.f64 z) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64)))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(*.f64 (sqrt.f64 z) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64)))))
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 (*.f64 t 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)))

eval826.0ms (1.9%)

Memory
-87.8MiB live, 553.7MiB allocated
Compiler

Compiled 88 811 to 3 313 computations (96.3% saved)

prune404.0ms (0.9%)

Memory
-10.5MiB live, 748.9MiB allocated
Pruning

35 alts after pruning (35 fresh and 0 done)

PrunedKeptTotal
New2 698322 730
Fresh8311
Picked505
Done000
Total2 711352 746
Accuracy
100.0%
Counts
2 746 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.6%
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 y)))
▶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)))))
92.5%
(fma.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))) (*.f64 (*.f64 t t) (*.f64 (*.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))))
52.3%
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
57.3%
(/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
57.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))))
57.1%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
93.2%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))
57.3%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
80.2%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 t (*.f64 t z) z))))
▶85.0%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 t t #s(literal 1 binary64))))))
22.1%
(*.f64 (*.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
26.4%
(*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64))))) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
94.7%
(*.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)))
86.5%
(*.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)))
49.7%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/8 binary64))))
48.9%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (*.f64 z #s(literal 2 binary64)))))) #s(literal 1 binary64))
57.1%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
57.1%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
52.3%
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))
58.4%
(*.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))
56.1%
(*.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))
50.6%
(*.f64 (*.f64 (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))))
53.4%
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (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)))
29.0%
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
65.2%
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 y (*.f64 (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 (sqrt.f64 #s(literal 2 binary64)) x)) (*.f64 (*.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))) #s(literal -1/2 binary64)))) (neg.f64 x))
▶53.3%
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
▶58.3%
(*.f64 (*.f64 (neg.f64 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)))
62.8%
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
▶30.4%
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
60.9%
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))
58.9%
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))))))
28.9%
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) x))
30.2%
(*.f64 (sqrt.f64 z) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64)))))
63.2%
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))
Compiler

Compiled 1 592 to 1 080 computations (32.2% saved)

simplify364.0ms (0.8%)

Memory
4.4MiB live, 585.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)
✓cost-diff0
(sqrt.f64 z)
✓cost-diff0
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) x))
✓cost-diff0
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓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-diff0
(*.f64 (*.f64 (neg.f64 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)))
✓cost-diff0
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 t t #s(literal 1 binary64)))))
✓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 (fma.f64 t t #s(literal 1 binary64))))))
✓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
(sqrt.f64 z)
✓cost-diff0
(*.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)))))
✓cost-diff0
(*.f64 t t)
✓cost-diff2752
(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)))))
Rules
12 274×accelerator-lowering-fma.f32
12 274×accelerator-lowering-fma.f64
6 296×*-lowering-*.f32
6 296×*-lowering-*.f64
3 170×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048425
1151425
2622420
33582411
45348411
08437386
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* (* t t) (* (sqrt z) (* (* t t) (* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* (* t t) 1/48) 1/8))))) (* (sqrt z) (* (+ (* 1/2 (* t t)) 1) (* (sqrt 2) (- (* 1/2 x) y)))))
(* t t)
t
(* (sqrt z) (* (* t t) (* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* (* t t) 1/48) 1/8))))
(sqrt z)
z
(* (* t t) (* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* (* t t) 1/48) 1/8)))
(* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* (* t t) 1/48) 1/8))
(* (sqrt 2) (- (* 1/2 x) y))
(sqrt 2)
2
(- (* 1/2 x) y)
(* 1/2 x)
1/2
x
y
(+ (* (* t t) 1/48) 1/8)
1/48
1/8
(* (sqrt z) (* (+ (* 1/2 (* t t)) 1) (* (sqrt 2) (- (* 1/2 x) y))))
(* (+ (* 1/2 (* t t)) 1) (* (sqrt 2) (- (* 1/2 x) y)))
(+ (* 1/2 (* t t)) 1)
1
(* (* (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 (* z (+ (* t t) 1)))))
(- (* x 1/2) y)
(* x 1/2)
x
1/2
y
(sqrt (* 2 (* z (+ (* t t) 1))))
(* 2 (* z (+ (* t t) 1)))
2
(* z (+ (* t t) 1))
z
(+ (* t t) 1)
t
1
(* (* (neg y) (sqrt (* z 2))) (+ (* (* t t) (+ (* t (* t 1/8)) 1/2)) 1))
(* (neg y) (sqrt (* z 2)))
(neg y)
y
(sqrt (* z 2))
(* z 2)
z
2
(+ (* (* t t) (+ (* t (* t 1/8)) 1/2)) 1)
(* t t)
t
(+ (* t (* t 1/8)) 1/2)
(* t 1/8)
1/8
1/2
1
(* (* (sqrt z) (* (* 1/2 (sqrt 2)) x)) (+ (* (* t t) (+ (* t (* t 1/8)) 1/2)) 1))
(* (sqrt z) (* (* 1/2 (sqrt 2)) x))
(sqrt z)
z
(* (* 1/2 (sqrt 2)) x)
(* 1/2 (sqrt 2))
1/2
(sqrt 2)
2
x
(+ (* (* t t) (+ (* t (* t 1/8)) 1/2)) 1)
(* t t)
t
(+ (* t (* t 1/8)) 1/2)
(* t 1/8)
1/8
1
Outputs
(+ (* (* t t) (* (sqrt z) (* (* t t) (* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* (* t t) 1/48) 1/8))))) (* (sqrt z) (* (+ (* 1/2 (* t t)) 1) (* (sqrt 2) (- (* 1/2 x) y)))))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 (*.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(* t t)
(*.f64 t t)
t
(* (sqrt z) (* (* t t) (* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* (* t t) 1/48) 1/8))))
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (*.f64 t (sqrt.f64 z)))
(sqrt z)
(sqrt.f64 z)
z
(* (* t t) (* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* (* t t) 1/48) 1/8)))
(*.f64 t (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* (* t t) 1/48) 1/8))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))))
(* (sqrt 2) (- (* 1/2 x) y))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(- (* 1/2 x) y)
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
1/2
#s(literal 1/2 binary64)
x
y
(+ (* (* t t) 1/48) 1/8)
(fma.f64 t (*.f64 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)
(* (sqrt z) (* (+ (* 1/2 (* t t)) 1) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
(* (+ (* 1/2 (* t t)) 1) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(+ (* 1/2 (* t t)) 1)
(fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* (* (neg y) (sqrt (* z 2))) 1)
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(* (neg y) (sqrt (* z 2)))
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(neg y)
(neg.f64 y)
y
(sqrt (* z 2))
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(* z 2)
(*.f64 z #s(literal 2 binary64))
z
2
#s(literal 2 binary64)
1
#s(literal 1 binary64)
(* (- (* x 1/2) y) (sqrt (* 2 (* z (+ (* t t) 1)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 z (fma.f64 (*.f64 t t) #s(literal 2 binary64) #s(literal 2 binary64)))))
(- (* x 1/2) y)
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* x 1/2)
(*.f64 #s(literal 1/2 binary64) x)
x
1/2
#s(literal 1/2 binary64)
y
(sqrt (* 2 (* z (+ (* t t) 1))))
(sqrt.f64 (*.f64 z (fma.f64 (*.f64 t t) #s(literal 2 binary64) #s(literal 2 binary64))))
(* 2 (* z (+ (* t t) 1)))
(*.f64 z (fma.f64 (*.f64 t t) #s(literal 2 binary64) #s(literal 2 binary64)))
2
#s(literal 2 binary64)
(* z (+ (* t t) 1))
(fma.f64 (*.f64 t t) z z)
z
(+ (* t t) 1)
(fma.f64 t t #s(literal 1 binary64))
t
1
#s(literal 1 binary64)
(* (* (neg y) (sqrt (* z 2))) (+ (* (* t t) (+ (* t (* t 1/8)) 1/2)) 1))
(*.f64 (neg.f64 y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(* (neg y) (sqrt (* z 2)))
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(neg y)
(neg.f64 y)
y
(sqrt (* z 2))
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(* z 2)
(*.f64 z #s(literal 2 binary64))
z
2
#s(literal 2 binary64)
(+ (* (* t t) (+ (* t (* t 1/8)) 1/2)) 1)
(fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(* t t)
(*.f64 t t)
t
(+ (* 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)
1/2
#s(literal 1/2 binary64)
1
#s(literal 1 binary64)
(* (* (sqrt z) (* (* 1/2 (sqrt 2)) x)) (+ (* (* t t) (+ (* t (* t 1/8)) 1/2)) 1))
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))))
(* (sqrt z) (* (* 1/2 (sqrt 2)) x))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)))
(sqrt z)
(sqrt.f64 z)
z
(* (* 1/2 (sqrt 2)) x)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(* 1/2 (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
x
(+ (* (* t t) (+ (* t (* t 1/8)) 1/2)) 1)
(fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(* t t)
(*.f64 t t)
t
(+ (* 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)
1
#s(literal 1 binary64)

localize180.0ms (0.4%)

Memory
-11.0MiB live, 344.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓accuracy99.5%
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) x))
✓accuracy99.3%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)
✓accuracy94.9%
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓accuracy100.0%
(neg.f64 y)
✓accuracy99.9%
(fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓accuracy99.7%
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
✓accuracy95.5%
(*.f64 (*.f64 (neg.f64 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)))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 t t #s(literal 1 binary64))))
✓accuracy99.0%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 t t #s(literal 1 binary64))))))
✓accuracy93.3%
(*.f64 z (fma.f64 t t #s(literal 1 binary64)))
✓accuracy80.6%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 t t #s(literal 1 binary64)))))
✓accuracy100.0%
(*.f64 z #s(literal 2 binary64))
✓accuracy100.0%
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓accuracy100.0%
(neg.f64 y)
✓accuracy99.7%
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
✓accuracy97.4%
(*.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)))
✓accuracy97.2%
(*.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))))
✓accuracy96.3%
(*.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)))))
✓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 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))))
Samples
85.0ms256×0valid
Compiler

Compiled 404 to 50 computations (87.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-mult: 36.0ms (63.5% of total)
ival-sqrt: 7.0ms (12.4% of total)
ival-add: 6.0ms (10.6% of total)
const: 4.0ms (7.1% of total)
ival-sub: 2.0ms (3.5% of total)
exact: 1.0ms (1.8% of total)
ival-neg: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series80.0ms (0.2%)

Memory
1.5MiB live, 75.7MiB allocated
Counts
23 → 600
Calls
Call 1
Inputs
#<alt (+ (* (* t t) (* (sqrt z) (* (* t t) (* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* (* t t) 1/48) 1/8))))) (* (sqrt z) (* (+ (* 1/2 (* t t)) 1) (* (sqrt 2) (- (* 1/2 x) y)))))>
#<alt (* t t)>
#<alt (* (sqrt z) (* (* t t) (* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* (* t t) 1/48) 1/8))))>
#<alt (sqrt 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 (* z (+ (* t t) 1)))))>
#<alt (- (* x 1/2) y)>
#<alt (* x 1/2)>
#<alt (sqrt (* 2 (* z (+ (* t t) 1))))>
#<alt (* (* (neg y) (sqrt (* z 2))) (+ (* (* t t) (+ (* t (* t 1/8)) 1/2)) 1))>
#<alt (* (* (sqrt z) (* (* 1/2 (sqrt 2)) x)) (+ (* (* t t) (+ (* t (* t 1/8)) 1/2)) 1))>
#<alt (* (sqrt z) (* (* 1/2 (sqrt 2)) x))>
#<alt (* (* 1/2 (sqrt 2)) x)>
#<alt (* (* t t) (* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* (* t t) 1/48) 1/8)))>
#<alt (* (sqrt z) (* (+ (* 1/2 (* t t)) 1) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* (* t t) 1/48) 1/8))>
#<alt (* z 2)>
#<alt (* z (+ (* t t) 1))>
#<alt (* 2 (* z (+ (* t t) 1)))>
#<alt (+ (* (* t t) (+ (* t (* t 1/8)) 1/2)) 1)>
Outputs
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))>
#<alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))))>
#<alt (* 1/48 (* (* (pow t 6) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z)))>
#<alt (* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z)))))>
#<alt (* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))) (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z))))))>
#<alt (* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))) (+ (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 6)) (sqrt z))))))>
#<alt (* 1/48 (* (* (pow t 6) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z)))>
#<alt (* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z)))))>
#<alt (* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))) (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z))))))>
#<alt (* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))) (+ (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 6)) (sqrt z))))))>
#<alt (+ (* (sqrt z) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y)))) (* (* (pow t 4) (* (sqrt 2) (* (+ 1/8 (* 1/48 (pow t 2))) (- (* 1/2 x) y)))) (sqrt z)))>
#<alt (+ (* (sqrt z) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y)))) (* (* (pow t 4) (* (sqrt 2) (* (+ 1/8 (* 1/48 (pow t 2))) (- (* 1/2 x) y)))) (sqrt z)))>
#<alt (+ (* (sqrt z) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y)))) (* (* (pow t 4) (* (sqrt 2) (* (+ 1/8 (* 1/48 (pow t 2))) (- (* 1/2 x) y)))) (sqrt z)))>
#<alt (+ (* (sqrt z) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y)))) (* (* (pow t 4) (* (sqrt 2) (* (+ 1/8 (* 1/48 (pow t 2))) (- (* 1/2 x) y)))) (sqrt z)))>
#<alt (* z (+ (* (sqrt (/ 1 z)) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y)))) (* (* (pow t 4) (* (sqrt 2) (* (+ 1/8 (* 1/48 (pow t 2))) (- (* 1/2 x) y)))) (sqrt (/ 1 z)))))>
#<alt (* z (+ (* (sqrt (/ 1 z)) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y)))) (* (* (pow t 4) (* (sqrt 2) (* (+ 1/8 (* 1/48 (pow t 2))) (- (* 1/2 x) y)))) (sqrt (/ 1 z)))))>
#<alt (* z (+ (* (sqrt (/ 1 z)) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y)))) (* (* (pow t 4) (* (sqrt 2) (* (+ 1/8 (* 1/48 (pow t 2))) (- (* 1/2 x) y)))) (sqrt (/ 1 z)))))>
#<alt (* z (+ (* (sqrt (/ 1 z)) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y)))) (* (* (pow t 4) (* (sqrt 2) (* (+ 1/8 (* 1/48 (pow t 2))) (- (* 1/2 x) y)))) (sqrt (/ 1 z)))))>
#<alt (* -1 (* z (+ (* (sqrt (/ 1 z)) (* (pow (sqrt -1) 2) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y))))) (* (* (pow t 4) (* (pow (sqrt -1) 2) (* (sqrt 2) (* (+ 1/8 (* 1/48 (pow t 2))) (- (* 1/2 x) y))))) (sqrt (/ 1 z))))))>
#<alt (* -1 (* z (+ (* (sqrt (/ 1 z)) (* (pow (sqrt -1) 2) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y))))) (* (* (pow t 4) (* (pow (sqrt -1) 2) (* (sqrt 2) (* (+ 1/8 (* 1/48 (pow t 2))) (- (* 1/2 x) y))))) (sqrt (/ 1 z))))))>
#<alt (* -1 (* z (+ (* (sqrt (/ 1 z)) (* (pow (sqrt -1) 2) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y))))) (* (* (pow t 4) (* (pow (sqrt -1) 2) (* (sqrt 2) (* (+ 1/8 (* 1/48 (pow t 2))) (- (* 1/2 x) y))))) (sqrt (/ 1 z))))))>
#<alt (* -1 (* z (+ (* (sqrt (/ 1 z)) (* (pow (sqrt -1) 2) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y))))) (* (* (pow t 4) (* (pow (sqrt -1) 2) (* (sqrt 2) (* (+ 1/8 (* 1/48 (pow t 2))) (- (* 1/2 x) y))))) (sqrt (/ 1 z))))))>
#<alt (+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (* -1 (* (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z))))>
#<alt (+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (+ (* -1 (* (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z))) (* x (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))))>
#<alt (+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (+ (* -1 (* (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z))) (* x (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))))>
#<alt (+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (+ (* -1 (* (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z))) (* x (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))))>
#<alt (* x (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))>
#<alt (* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))) (+ (* -1 (* (/ (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) x) (sqrt z))) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))))>
#<alt (* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))) (+ (* -1 (* (/ (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) x) (sqrt z))) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))))>
#<alt (* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))) (+ (* -1 (* (/ (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) x) (sqrt z))) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* -1/2 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (* -1 (* (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z)))) x)) (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* -1/2 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (* -1 (* (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z)))) x)) (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* -1/2 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (* -1 (* (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z)))) x)) (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* -1/2 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))))>
#<alt (+ (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (* 1/2 (* (* (pow t 4) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z))))>
#<alt (+ (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (+ (* 1/2 (* (* (pow t 4) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z))) (* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* -1 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))))>
#<alt (+ (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (+ (* 1/2 (* (* (pow t 4) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z))) (* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* -1 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))))>
#<alt (+ (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (+ (* 1/2 (* (* (pow t 4) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z))) (* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* -1 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))))>
#<alt (* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* -1 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))>
#<alt (* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (+ (* -1 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z))) (+ (* 1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y) (sqrt z))) (* 1/2 (* (/ (* (pow t 4) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) y) (sqrt z)))))))>
#<alt (* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (+ (* -1 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z))) (+ (* 1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y) (sqrt z))) (* 1/2 (* (/ (* (pow t 4) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) y) (sqrt z)))))))>
#<alt (* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (+ (* -1 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z))) (+ (* 1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y) (sqrt z))) (* 1/2 (* (/ (* (pow t 4) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) y) (sqrt z)))))))>
#<alt (* -1 (* y (+ (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))>
#<alt (* -1 (* y (+ (* -1 (/ (+ (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (* 1/2 (* (* (pow t 4) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z)))) y)) (+ (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z))))))>
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#<alt (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (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))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))))>
#<alt (+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))))>
#<alt (+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))))>
#<alt (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))>
#<alt (* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))))>
#<alt (* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))))>
#<alt (* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))))>
#<alt (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z)))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z)))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z)))))>
#<alt (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))>
#<alt (+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))))>
#<alt (+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))))>
#<alt (+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))))>
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))>
#<alt (* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y) (sqrt z)))))>
#<alt (* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y) (sqrt z)))))>
#<alt (* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y) (sqrt z)))))>
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))))>
#<alt (* -1 (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))>
#<alt (+ (* -1 (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))))>
#<alt (+ (* -1 (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))))>
#<alt (+ (* -1 (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))))>
#<alt (* 1/2 (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))>
#<alt (* x (+ (* -1 (/ (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) x)) (* 1/2 (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))))>
#<alt (* x (+ (* -1 (/ (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) x)) (* 1/2 (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))))>
#<alt (* x (+ (* -1 (/ (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) x)) (* 1/2 (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))))>
#<alt (* 1/2 (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (/ (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) x))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (/ (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) x))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (/ (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) x))))>
#<alt (* 1/2 (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))>
#<alt (+ (* -1 (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))))>
#<alt (+ (* -1 (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))))>
#<alt (+ (* -1 (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))))>
#<alt (* -1 (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))>
#<alt (* y (+ (* -1 (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (* 1/2 (/ (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) y))))>
#<alt (* y (+ (* -1 (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (* 1/2 (/ (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) y))))>
#<alt (* y (+ (* -1 (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (* 1/2 (/ (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) y))))>
#<alt (* -1 (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))>
#<alt (* -1 (* y (+ (* -1/2 (/ (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) y)) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))))>
#<alt (* -1 (* y (+ (* -1/2 (/ (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) y)) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))))>
#<alt (* -1 (* y (+ (* -1/2 (/ (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) y)) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))))>
#<alt (* 1/8 (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (+ (* 1/48 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (+ (* 1/48 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (+ (* 1/48 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* 1/48 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (pow t 2) (+ (* 1/48 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/8 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))))>
#<alt (* (pow t 2) (+ (* 1/48 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/8 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))))>
#<alt (* (pow t 2) (+ (* 1/48 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/8 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))))>
#<alt (* 1/48 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (pow t 2) (+ (* 1/48 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/8 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))))>
#<alt (* (pow t 2) (+ (* 1/48 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/8 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))))>
#<alt (* (pow t 2) (+ (* 1/48 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/8 (/ (* (sqrt 2) (- (* 1/2 x) y)) (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 (* z (+ 1 (pow t 2)))>
#<alt (* z (+ 1 (pow t 2)))>
#<alt (* z (+ 1 (pow t 2)))>
#<alt (* z (+ 1 (pow t 2)))>
#<alt (* z (+ 1 (pow t 2)))>
#<alt (* z (+ 1 (pow t 2)))>
#<alt (* z (+ 1 (pow t 2)))>
#<alt (* z (+ 1 (pow t 2)))>
#<alt (* z (+ 1 (pow t 2)))>
#<alt (* z (+ 1 (pow t 2)))>
#<alt (* z (+ 1 (pow t 2)))>
#<alt (* z (+ 1 (pow t 2)))>
#<alt z>
#<alt (+ z (* (pow t 2) z))>
#<alt (+ z (* (pow t 2) z))>
#<alt (+ z (* (pow t 2) z))>
#<alt (* (pow t 2) z)>
#<alt (* (pow t 2) (+ z (/ z (pow t 2))))>
#<alt (* (pow t 2) (+ z (/ z (pow t 2))))>
#<alt (* (pow t 2) (+ z (/ z (pow t 2))))>
#<alt (* (pow t 2) z)>
#<alt (* (pow t 2) (+ z (/ z (pow t 2))))>
#<alt (* (pow t 2) (+ z (/ z (pow t 2))))>
#<alt (* (pow t 2) (+ z (/ z (pow t 2))))>
#<alt (* 2 (* z (+ 1 (pow t 2))))>
#<alt (* 2 (* z (+ 1 (pow t 2))))>
#<alt (* 2 (* z (+ 1 (pow t 2))))>
#<alt (* 2 (* z (+ 1 (pow t 2))))>
#<alt (* 2 (* z (+ 1 (pow t 2))))>
#<alt (* 2 (* z (+ 1 (pow t 2))))>
#<alt (* 2 (* z (+ 1 (pow t 2))))>
#<alt (* 2 (* z (+ 1 (pow t 2))))>
#<alt (* 2 (* z (+ 1 (pow t 2))))>
#<alt (* 2 (* z (+ 1 (pow t 2))))>
#<alt (* 2 (* z (+ 1 (pow t 2))))>
#<alt (* 2 (* z (+ 1 (pow t 2))))>
#<alt (* 2 z)>
#<alt (+ (* 2 z) (* 2 (* (pow t 2) z)))>
#<alt (+ (* 2 z) (* 2 (* (pow t 2) z)))>
#<alt (+ (* 2 z) (* 2 (* (pow t 2) z)))>
#<alt (* 2 (* (pow t 2) z))>
#<alt (* (pow t 2) (+ (* 2 z) (* 2 (/ z (pow t 2)))))>
#<alt (* (pow t 2) (+ (* 2 z) (* 2 (/ z (pow t 2)))))>
#<alt (* (pow t 2) (+ (* 2 z) (* 2 (/ z (pow t 2)))))>
#<alt (* 2 (* (pow t 2) z))>
#<alt (* (pow t 2) (+ (* 2 z) (* 2 (/ z (pow t 2)))))>
#<alt (* (pow t 2) (+ (* 2 z) (* 2 (/ z (pow t 2)))))>
#<alt (* (pow t 2) (+ (* 2 z) (* 2 (/ z (pow t 2)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow t 2)))>
#<alt (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))>
#<alt (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))>
#<alt (* 1/8 (pow t 4))>
#<alt (* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))>
#<alt (* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))>
#<alt (* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))>
#<alt (* 1/8 (pow t 4))>
#<alt (* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))>
#<alt (* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))>
#<alt (* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))>
Calls

150 calls:

TimeVariablePointExpression
14.0ms
z
@0
(* (* (sqrt z) (* (* 1/2 (sqrt 2)) x)) (+ (* (* t t) (+ (* t (* t 1/8)) 1/2)) 1))
5.0ms
z
@0
(+ (* (* t t) (* (sqrt z) (* (* t t) (* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* (* t t) 1/48) 1/8))))) (* (sqrt z) (* (+ (* 1/2 (* t t)) 1) (* (sqrt 2) (- (* 1/2 x) y)))))
4.0ms
y
@inf
(* (* (neg y) (sqrt (* z 2))) (+ (* (* t t) (+ (* t (* t 1/8)) 1/2)) 1))
2.0ms
x
@inf
(+ (* (* t t) (* (sqrt z) (* (* t t) (* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* (* t t) 1/48) 1/8))))) (* (sqrt z) (* (+ (* 1/2 (* t t)) 1) (* (sqrt 2) (- (* 1/2 x) y)))))
2.0ms
x
@0
(+ (* (* t t) (* (sqrt z) (* (* t t) (* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* (* t t) 1/48) 1/8))))) (* (sqrt z) (* (+ (* 1/2 (* t t)) 1) (* (sqrt 2) (- (* 1/2 x) y)))))

rewrite425.0ms (1%)

Memory
10.7MiB live, 560.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 970×accelerator-lowering-fma.f32
5 970×accelerator-lowering-fma.f64
4 398×*-lowering-*.f32
4 398×*-lowering-*.f64
3 668×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048275
1256273
21968273
08354256
Stop Event
1×iter limit
1×node limit
Counts
23 → 675
Calls
Call 1
Inputs
(+ (* (* t t) (* (sqrt z) (* (* t t) (* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* (* t t) 1/48) 1/8))))) (* (sqrt z) (* (+ (* 1/2 (* t t)) 1) (* (sqrt 2) (- (* 1/2 x) y)))))
(* t t)
(* (sqrt z) (* (* t t) (* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* (* t t) 1/48) 1/8))))
(sqrt z)
(* (* (neg y) (sqrt (* z 2))) 1)
(* (neg y) (sqrt (* z 2)))
(neg y)
(sqrt (* z 2))
(* (- (* x 1/2) y) (sqrt (* 2 (* z (+ (* t t) 1)))))
(- (* x 1/2) y)
(* x 1/2)
(sqrt (* 2 (* z (+ (* t t) 1))))
(* (* (neg y) (sqrt (* z 2))) (+ (* (* t t) (+ (* t (* t 1/8)) 1/2)) 1))
(* (* (sqrt z) (* (* 1/2 (sqrt 2)) x)) (+ (* (* t t) (+ (* t (* t 1/8)) 1/2)) 1))
(* (sqrt z) (* (* 1/2 (sqrt 2)) x))
(* (* 1/2 (sqrt 2)) x)
(* (* t t) (* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* (* t t) 1/48) 1/8)))
(* (sqrt z) (* (+ (* 1/2 (* t t)) 1) (* (sqrt 2) (- (* 1/2 x) y))))
(* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* (* t t) 1/48) 1/8))
(* z 2)
(* z (+ (* t t) 1))
(* 2 (* z (+ (* t t) 1)))
(+ (* (* t t) (+ (* t (* t 1/8)) 1/2)) 1)
Outputs
(+.f64 (*.f64 (sqrt.f64 z) (*.f64 (*.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 t t))) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 z) (*.f64 (*.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 t t))))
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simplify656.0ms (1.5%)

Memory
9.8MiB live, 759.9MiB allocated
Algorithm
1×egg-herbie
Rules
13 342×accelerator-lowering-fma.f32
13 342×accelerator-lowering-fma.f64
5 962×+-lowering-+.f64
5 962×+-lowering-+.f32
5 738×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049112847
1179512028
2440111658
0825410996
Stop Event
1×iter limit
1×node limit
Counts
600 → 600
Calls
Call 1
Inputs
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))))
(* 1/48 (* (* (pow t 6) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z)))
(* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z)))))
(* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))) (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z))))))
(* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))) (+ (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 6)) (sqrt z))))))
(* 1/48 (* (* (pow t 6) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z)))
(* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z)))))
(* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))) (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z))))))
(* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))) (+ (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 6)) (sqrt z))))))
(+ (* (sqrt z) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y)))) (* (* (pow t 4) (* (sqrt 2) (* (+ 1/8 (* 1/48 (pow t 2))) (- (* 1/2 x) y)))) (sqrt z)))
(+ (* (sqrt z) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y)))) (* (* (pow t 4) (* (sqrt 2) (* (+ 1/8 (* 1/48 (pow t 2))) (- (* 1/2 x) y)))) (sqrt z)))
(+ (* (sqrt z) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y)))) (* (* (pow t 4) (* (sqrt 2) (* (+ 1/8 (* 1/48 (pow t 2))) (- (* 1/2 x) y)))) (sqrt z)))
(+ (* (sqrt z) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y)))) (* (* (pow t 4) (* (sqrt 2) (* (+ 1/8 (* 1/48 (pow t 2))) (- (* 1/2 x) y)))) (sqrt z)))
(* z (+ (* (sqrt (/ 1 z)) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y)))) (* (* (pow t 4) (* (sqrt 2) (* (+ 1/8 (* 1/48 (pow t 2))) (- (* 1/2 x) y)))) (sqrt (/ 1 z)))))
(* z (+ (* (sqrt (/ 1 z)) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y)))) (* (* (pow t 4) (* (sqrt 2) (* (+ 1/8 (* 1/48 (pow t 2))) (- (* 1/2 x) y)))) (sqrt (/ 1 z)))))
(* z (+ (* (sqrt (/ 1 z)) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y)))) (* (* (pow t 4) (* (sqrt 2) (* (+ 1/8 (* 1/48 (pow t 2))) (- (* 1/2 x) y)))) (sqrt (/ 1 z)))))
(* z (+ (* (sqrt (/ 1 z)) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y)))) (* (* (pow t 4) (* (sqrt 2) (* (+ 1/8 (* 1/48 (pow t 2))) (- (* 1/2 x) y)))) (sqrt (/ 1 z)))))
(* -1 (* z (+ (* (sqrt (/ 1 z)) (* (pow (sqrt -1) 2) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y))))) (* (* (pow t 4) (* (pow (sqrt -1) 2) (* (sqrt 2) (* (+ 1/8 (* 1/48 (pow t 2))) (- (* 1/2 x) y))))) (sqrt (/ 1 z))))))
(* -1 (* z (+ (* (sqrt (/ 1 z)) (* (pow (sqrt -1) 2) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y))))) (* (* (pow t 4) (* (pow (sqrt -1) 2) (* (sqrt 2) (* (+ 1/8 (* 1/48 (pow t 2))) (- (* 1/2 x) y))))) (sqrt (/ 1 z))))))
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(* -1 (* y (+ (* -1/2 (/ (* (pow t 2) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) y)) (* (pow t 2) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))))
(* -1 (* y (+ (* -1/2 (/ (* (pow t 2) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) y)) (* (pow t 2) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))))
(* -1 (* y (+ (* -1/2 (/ (* (pow t 2) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) y)) (* (pow t 2) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))))
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y))))
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y))))
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y))))
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y))))
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y))))
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y))))
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y))))
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y))))
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y))))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (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))))
(* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z)))
(* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))))
(* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))))
(* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))))
(* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z)))
(* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))))
(* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))))
(* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))))
(* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))))
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))))
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))))
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))))
(* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))))
(* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))))
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z)))))
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))))
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))))
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))))
(* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))
(* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y) (sqrt z)))))
(* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))))
(* -1 (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))
(+ (* -1 (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(+ (* -1 (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(+ (* -1 (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(* 1/2 (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))
(* x (+ (* -1 (/ (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) x)) (* 1/2 (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(* x (+ (* -1 (/ (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) x)) (* 1/2 (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(* x (+ (* -1 (/ (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) x)) (* 1/2 (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(* 1/2 (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))
(* -1 (* x (+ (* -1/2 (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (/ (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) x))))
(* -1 (* x (+ (* -1/2 (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (/ (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) x))))
(* -1 (* x (+ (* -1/2 (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (/ (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) x))))
(* 1/2 (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))
(+ (* -1 (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(+ (* -1 (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(+ (* -1 (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(* -1 (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))
(* y (+ (* -1 (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (* 1/2 (/ (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) y))))
(* y (+ (* -1 (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (* 1/2 (/ (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) y))))
(* y (+ (* -1 (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (* 1/2 (/ (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) y))))
(* -1 (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))
(* -1 (* y (+ (* -1/2 (/ (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) y)) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(* -1 (* y (+ (* -1/2 (/ (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) y)) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(* -1 (* y (+ (* -1/2 (/ (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) y)) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(* 1/8 (* (sqrt 2) (- (* 1/2 x) y)))
(+ (* 1/48 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))))
(+ (* 1/48 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))))
(+ (* 1/48 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))))
(* 1/48 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))))
(* (pow t 2) (+ (* 1/48 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/8 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))))
(* (pow t 2) (+ (* 1/48 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/8 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))))
(* (pow t 2) (+ (* 1/48 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/8 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))))
(* 1/48 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))))
(* (pow t 2) (+ (* 1/48 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/8 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))))
(* (pow t 2) (+ (* 1/48 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/8 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))))
(* (pow t 2) (+ (* 1/48 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/8 (/ (* (sqrt 2) (- (* 1/2 x) y)) (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)
(* z (+ 1 (pow t 2)))
(* z (+ 1 (pow t 2)))
(* z (+ 1 (pow t 2)))
(* z (+ 1 (pow t 2)))
(* z (+ 1 (pow t 2)))
(* z (+ 1 (pow t 2)))
(* z (+ 1 (pow t 2)))
(* z (+ 1 (pow t 2)))
(* z (+ 1 (pow t 2)))
(* z (+ 1 (pow t 2)))
(* z (+ 1 (pow t 2)))
(* z (+ 1 (pow t 2)))
z
(+ z (* (pow t 2) z))
(+ z (* (pow t 2) z))
(+ z (* (pow t 2) z))
(* (pow t 2) z)
(* (pow t 2) (+ z (/ z (pow t 2))))
(* (pow t 2) (+ z (/ z (pow t 2))))
(* (pow t 2) (+ z (/ z (pow t 2))))
(* (pow t 2) z)
(* (pow t 2) (+ z (/ z (pow t 2))))
(* (pow t 2) (+ z (/ z (pow t 2))))
(* (pow t 2) (+ z (/ z (pow t 2))))
(* 2 (* z (+ 1 (pow t 2))))
(* 2 (* z (+ 1 (pow t 2))))
(* 2 (* z (+ 1 (pow t 2))))
(* 2 (* z (+ 1 (pow t 2))))
(* 2 (* z (+ 1 (pow t 2))))
(* 2 (* z (+ 1 (pow t 2))))
(* 2 (* z (+ 1 (pow t 2))))
(* 2 (* z (+ 1 (pow t 2))))
(* 2 (* z (+ 1 (pow t 2))))
(* 2 (* z (+ 1 (pow t 2))))
(* 2 (* z (+ 1 (pow t 2))))
(* 2 (* z (+ 1 (pow t 2))))
(* 2 z)
(+ (* 2 z) (* 2 (* (pow t 2) z)))
(+ (* 2 z) (* 2 (* (pow t 2) z)))
(+ (* 2 z) (* 2 (* (pow t 2) z)))
(* 2 (* (pow t 2) z))
(* (pow t 2) (+ (* 2 z) (* 2 (/ z (pow t 2)))))
(* (pow t 2) (+ (* 2 z) (* 2 (/ z (pow t 2)))))
(* (pow t 2) (+ (* 2 z) (* 2 (/ z (pow t 2)))))
(* 2 (* (pow t 2) z))
(* (pow t 2) (+ (* 2 z) (* 2 (/ z (pow t 2)))))
(* (pow t 2) (+ (* 2 z) (* 2 (/ z (pow t 2)))))
(* (pow t 2) (+ (* 2 z) (* 2 (/ z (pow t 2)))))
1
(+ 1 (* 1/2 (pow t 2)))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(* 1/8 (pow t 4))
(* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))
(* 1/8 (pow t 4))
(* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))
Outputs
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (*.f64 t t)))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))
(fma.f64 (*.f64 t t) (fma.f64 (*.f64 (*.f64 (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (sqrt.f64 z) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))))
(fma.f64 (*.f64 t t) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (*.f64 (*.f64 t t) (fma.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 t t) #s(literal 1/48 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (sqrt.f64 z))))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
(* 1/48 (* (* (pow t 6) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z)))
(*.f64 #s(literal 1/48 binary64) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (pow.f64 t #s(literal 6 binary64)))))
(* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z)))))
(*.f64 (pow.f64 t #s(literal 6 binary64)) (fma.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) #s(literal 1/48 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (*.f64 t t))))
(* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))) (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z))))))
(*.f64 (pow.f64 t #s(literal 6 binary64)) (fma.f64 (sqrt.f64 z) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (/.f64 #s(literal 1/8 binary64) (*.f64 t t)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (pow.f64 t #s(literal 4 binary64))))) (*.f64 (*.f64 #s(literal 1/48 binary64) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))))
(* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))) (+ (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 6)) (sqrt z))))))
(*.f64 (pow.f64 t #s(literal 6 binary64)) (fma.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (pow.f64 t #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (pow.f64 t #s(literal 4 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (/.f64 #s(literal 1/8 binary64) (*.f64 t t))))) (*.f64 (*.f64 #s(literal 1/48 binary64) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))))
(* 1/48 (* (* (pow t 6) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z)))
(*.f64 #s(literal 1/48 binary64) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (pow.f64 t #s(literal 6 binary64)))))
(* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z)))))
(*.f64 (pow.f64 t #s(literal 6 binary64)) (fma.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) #s(literal 1/48 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (*.f64 t t))))
(* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))) (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z))))))
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(* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))) (+ (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 6)) (sqrt z))))))
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(*.f64 #s(literal 2 binary64) (*.f64 z (*.f64 t t)))
(* (pow t 2) (+ (* 2 z) (* 2 (/ z (pow t 2)))))
(*.f64 (*.f64 t t) (*.f64 z (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 t t)))))
(* (pow t 2) (+ (* 2 z) (* 2 (/ z (pow t 2)))))
(*.f64 (*.f64 t t) (*.f64 z (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 t t)))))
(* (pow t 2) (+ (* 2 z) (* 2 (/ z (pow t 2)))))
(*.f64 (*.f64 t t) (*.f64 z (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 t t)))))
(* 2 (* (pow t 2) z))
(*.f64 #s(literal 2 binary64) (*.f64 z (*.f64 t t)))
(* (pow t 2) (+ (* 2 z) (* 2 (/ z (pow t 2)))))
(*.f64 (*.f64 t t) (*.f64 z (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 t t)))))
(* (pow t 2) (+ (* 2 z) (* 2 (/ z (pow t 2)))))
(*.f64 (*.f64 t t) (*.f64 z (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 t t)))))
(* (pow t 2) (+ (* 2 z) (* 2 (/ z (pow t 2)))))
(*.f64 (*.f64 t t) (*.f64 z (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 t t)))))
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 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/8 (pow t 4))
(*.f64 #s(literal 1/8 binary64) (pow.f64 t #s(literal 4 binary64)))
(* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(*.f64 (pow.f64 t #s(literal 4 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 t t))))
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))
(fma.f64 (pow.f64 t #s(literal 4 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 t t))) #s(literal 1 binary64))
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))
(fma.f64 (pow.f64 t #s(literal 4 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 t t))) #s(literal 1 binary64))
(* 1/8 (pow t 4))
(*.f64 #s(literal 1/8 binary64) (pow.f64 t #s(literal 4 binary64)))
(* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2)))))
(*.f64 (pow.f64 t #s(literal 4 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 t t))))
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))
(fma.f64 (pow.f64 t #s(literal 4 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 t t))) #s(literal 1 binary64))
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4)))))
(fma.f64 (pow.f64 t #s(literal 4 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 t t))) #s(literal 1 binary64))

eval258.0ms (0.6%)

Memory
11.4MiB live, 386.0MiB allocated
Compiler

Compiled 62 115 to 2 979 computations (95.2% saved)

prune259.0ms (0.6%)

Memory
1.5MiB live, 401.5MiB allocated
Pruning

46 alts after pruning (44 fresh and 2 done)

PrunedKeptTotal
New1 582211 603
Fresh72330
Picked325
Done000
Total1 592461 638
Accuracy
100.0%
Counts
1 638 → 46
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶95.5%
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 z) (*.f64 (sqrt.f64 z) (*.f64 (*.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 t t))))
94.5%
(fma.f64 (*.f64 (*.f64 t (*.f64 t (sqrt.f64 z))) t) (*.f64 (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
▶56.6%
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 y)))
94.1%
(fma.f64 (*.f64 t t) (*.f64 (*.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 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)))))
95.2%
(fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) 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)))))
95.1%
(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 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
83.4%
(fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 t t) (*.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) 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)))))
57.3%
(/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
57.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))))
28.9%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
80.2%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (fma.f64 t (*.f64 t z) z) #s(literal 2 binary64))))
93.2%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))
57.3%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
59.1%
(*.f64 (*.f64 (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
22.1%
(*.f64 (*.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
34.3%
(*.f64 (*.f64 (/.f64 (neg.f64 (*.f64 y y)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
26.4%
(*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64))))) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
94.7%
(*.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)))
86.5%
(*.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)))
49.7%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/8 binary64))))
48.9%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (*.f64 z #s(literal 2 binary64)))))) #s(literal 1 binary64))
▶57.1%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
52.3%
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))
53.4%
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) x) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
58.2%
(*.f64 (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 #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)))
58.4%
(*.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))
56.1%
(*.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))
▶50.6%
(*.f64 (*.f64 (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))))
29.0%
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
56.1%
(*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
65.2%
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 y (*.f64 (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 (sqrt.f64 #s(literal 2 binary64)) x)) (*.f64 (*.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))) #s(literal -1/2 binary64)))) (neg.f64 x))
✓53.3%
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
30.2%
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) (neg.f64 (sqrt.f64 z)))
30.3%
(*.f64 (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
✓58.3%
(*.f64 (*.f64 (neg.f64 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)))
51.3%
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
62.8%
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
30.2%
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
47.8%
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 t t #s(literal 1 binary64))))))
60.9%
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))
▶30.4%
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 y))
58.9%
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))))))
32.5%
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
28.9%
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) x))
52.3%
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 t t #s(literal 1 binary64))))))
63.2%
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))
Compiler

Compiled 2 158 to 1 425 computations (34% saved)

simplify525.0ms (1.2%)

Memory
18.2MiB live, 814.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))
✓cost-diff0
(*.f64 t t)
✓cost-diff0
(*.f64 (*.f64 t t) #s(literal 1/8 binary64))
✓cost-diff128
(*.f64 (*.f64 (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))))
✓cost-diff0
(*.f64 z #s(literal 2 binary64))
✓cost-diff0
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓cost-diff0
(*.f64 x (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
✓cost-diff1280
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (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 z))
✓cost-diff0
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
✓cost-diff0
(neg.f64 y)
✓cost-diff0
(*.f64 z #s(literal 2 binary64))
✓cost-diff0
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓cost-diff0
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 y))
✓cost-diff0
(sqrt.f64 #s(literal 2 binary64))
✓cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))
✓cost-diff0
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓cost-diff3392
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 z) (*.f64 (sqrt.f64 z) (*.f64 (*.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 t t))))
Rules
20 742×accelerator-lowering-fma.f32
20 742×accelerator-lowering-fma.f64
5 624×*-lowering-*.f32
5 624×*-lowering-*.f64
5 104×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044378
1134374
2514369
33089352
44918344
57988344
08852333
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* (* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* t (* t 1/2)) 1)) (sqrt z)) (* (sqrt z) (* (* (* t t) (* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* (* t t) 1/48) 1/8))) (* t t))))
(* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* t (* t 1/2)) 1))
(* (sqrt 2) (- (* 1/2 x) y))
(sqrt 2)
2
(- (* 1/2 x) y)
(* 1/2 x)
1/2
x
y
(+ (* t (* t 1/2)) 1)
t
(* t 1/2)
1
(sqrt z)
z
(* (sqrt z) (* (* (* t t) (* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* (* t t) 1/48) 1/8))) (* t t)))
(* (* (* t t) (* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* (* t t) 1/48) 1/8))) (* t t))
(* (* t t) (* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* (* t t) 1/48) 1/8)))
(* t t)
(* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* (* t t) 1/48) 1/8))
(+ (* (* t t) 1/48) 1/8)
1/48
1/8
(* (sqrt (* z 2)) (neg y))
(sqrt (* z 2))
(* z 2)
z
2
(neg y)
y
(* (* (- (* x 1/2) y) (sqrt z)) (sqrt 2))
(* (- (* x 1/2) y) (sqrt z))
(- (* x 1/2) y)
(* x 1/2)
x
1/2
y
(sqrt z)
z
(sqrt 2)
2
(+ (* (* x (sqrt (* z 2))) 1/2) (* (sqrt (* z 2)) (neg y)))
(* x (sqrt (* z 2)))
x
(sqrt (* z 2))
(* z 2)
z
2
1/2
(* (sqrt (* z 2)) (neg y))
(neg y)
y
(* (* (* t t) 1/8) (* (* t t) (* (sqrt 2) (* (sqrt z) (+ (* 1/2 x) (neg y))))))
(* (* t t) 1/8)
(* t t)
t
1/8
(* (* t t) (* (sqrt 2) (* (sqrt z) (+ (* 1/2 x) (neg y)))))
(* (sqrt 2) (* (sqrt z) (+ (* 1/2 x) (neg y))))
(sqrt 2)
2
(* (sqrt z) (+ (* 1/2 x) (neg y)))
(sqrt z)
z
(+ (* 1/2 x) (neg y))
1/2
x
(neg y)
y
Outputs
(+ (* (* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* t (* t 1/2)) 1)) (sqrt z)) (* (sqrt z) (* (* (* t t) (* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* (* t t) 1/48) 1/8))) (* t t))))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* t (* t 1/2)) 1))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(* (sqrt 2) (- (* 1/2 x) y))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(- (* 1/2 x) y)
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
1/2
#s(literal 1/2 binary64)
x
y
(+ (* 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
#s(literal 1 binary64)
(sqrt z)
(sqrt.f64 z)
z
(* (sqrt z) (* (* (* t t) (* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* (* t t) 1/48) 1/8))) (* t t)))
(*.f64 (*.f64 t t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (*.f64 t (sqrt.f64 z))))
(* (* (* t t) (* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* (* t t) 1/48) 1/8))) (* t t))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) (*.f64 t (*.f64 t (*.f64 t t)))))
(* (* t t) (* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* (* t t) 1/48) 1/8)))
(neg.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))))))
(* t t)
(*.f64 t t)
(* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* (* t t) 1/48) 1/8))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))))
(+ (* (* t t) 1/48) 1/8)
(fma.f64 t (*.f64 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)
(* (sqrt (* z 2)) (neg y))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (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)
(neg y)
(neg.f64 y)
y
(* (* (- (* x 1/2) y) (sqrt z)) (sqrt 2))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(* (- (* x 1/2) y) (sqrt z))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 z))
(- (* x 1/2) y)
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))
(* x 1/2)
(*.f64 #s(literal 1/2 binary64) x)
x
1/2
#s(literal 1/2 binary64)
y
(sqrt z)
(sqrt.f64 z)
z
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ (* (* x (sqrt (* z 2))) 1/2) (* (sqrt (* z 2)) (neg y)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))
(* x (sqrt (* z 2)))
(*.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
x
(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)
1/2
#s(literal 1/2 binary64)
(* (sqrt (* z 2)) (neg y))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y))
(neg y)
(neg.f64 y)
y
(* (* (* t t) 1/8) (* (* t t) (* (sqrt 2) (* (sqrt z) (+ (* 1/2 x) (neg y))))))
(*.f64 (*.f64 t t) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t t)) (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) #s(literal -1/8 binary64)))))
(* (* t t) 1/8)
(*.f64 (*.f64 t t) #s(literal 1/8 binary64))
(* t t)
(*.f64 t t)
t
1/8
#s(literal 1/8 binary64)
(* (* t t) (* (sqrt 2) (* (sqrt z) (+ (* 1/2 x) (neg y)))))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (*.f64 t t)))
(* (sqrt 2) (* (sqrt z) (+ (* 1/2 x) (neg y))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.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) (+ (* 1/2 x) (neg y)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 z))
(sqrt z)
(sqrt.f64 z)
z
(+ (* 1/2 x) (neg y))
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))
1/2
#s(literal 1/2 binary64)
x
(neg y)
(neg.f64 y)
y

localize161.0ms (0.4%)

Memory
4.9MiB live, 327.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(*.f64 (*.f64 t t) #s(literal 1/8 binary64))
✓accuracy99.7%
(*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))
✓accuracy99.3%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))
✓accuracy83.7%
(*.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))
✓accuracy100.0%
(neg.f64 y)
✓accuracy99.7%
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 y))
✓accuracy99.6%
(*.f64 x (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
✓accuracy99.3%
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 y)))
✓accuracy100.0%
(sqrt.f64 z)
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy99.7%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z))
✓accuracy99.3%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
✓accuracy100.0%
(*.f64 z #s(literal 2 binary64))
✓accuracy100.0%
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓accuracy100.0%
(neg.f64 y)
✓accuracy99.7%
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 y))
✓accuracy98.1%
(*.f64 (sqrt.f64 z) (*.f64 (*.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 t t)))
✓accuracy97.7%
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓accuracy97.4%
(*.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)))
✓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 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))))
Samples
81.0ms256×0valid
Compiler

Compiled 369 to 46 computations (87.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-mult: 34.0ms (60.7% of total)
ival-add: 5.0ms (8.9% of total)
ival-sqrt: 5.0ms (8.9% of total)
const: 4.0ms (7.1% of total)
ival-neg: 4.0ms (7.1% of total)
ival-sub: 2.0ms (3.6% of total)
exact: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series46.0ms (0.1%)

Memory
-0.1MiB live, 79.0MiB allocated
Counts
24 → 660
Calls
Call 1
Inputs
#<alt (+ (* (* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* t (* t 1/2)) 1)) (sqrt z)) (* (sqrt z) (* (* (* t t) (* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* (* t t) 1/48) 1/8))) (* t t))))>
#<alt (* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* t (* t 1/2)) 1))>
#<alt (* (sqrt 2) (- (* 1/2 x) y))>
#<alt (sqrt 2)>
#<alt (* (sqrt (* z 2)) (neg y))>
#<alt (sqrt (* z 2))>
#<alt (* z 2)>
#<alt (neg y)>
#<alt (* (* (- (* x 1/2) y) (sqrt z)) (sqrt 2))>
#<alt (* (- (* x 1/2) y) (sqrt z))>
#<alt (- (* x 1/2) y)>
#<alt (* x 1/2)>
#<alt (+ (* (* x (sqrt (* z 2))) 1/2) (* (sqrt (* z 2)) (neg y)))>
#<alt (* x (sqrt (* z 2)))>
#<alt (* (* (* t t) 1/8) (* (* t t) (* (sqrt 2) (* (sqrt z) (+ (* 1/2 x) (neg y))))))>
#<alt (* (* t t) 1/8)>
#<alt (* t t)>
#<alt (* (* t t) (* (sqrt 2) (* (sqrt z) (+ (* 1/2 x) (neg y)))))>
#<alt (* (* t t) (* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* (* t t) 1/48) 1/8)))>
#<alt (* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* (* t t) 1/48) 1/8))>
#<alt (* (sqrt z) (* (* (* t t) (* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* (* t t) 1/48) 1/8))) (* t t)))>
#<alt (sqrt z)>
#<alt (* (sqrt 2) (* (sqrt z) (+ (* 1/2 x) (neg y))))>
#<alt (* (sqrt z) (+ (* 1/2 x) (neg y)))>
Outputs
#<alt (+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (* -1 (* (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z))))>
#<alt (+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (+ (* -1 (* (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z))) (* x (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))))>
#<alt (+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (+ (* -1 (* (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z))) (* x (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))))>
#<alt (+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (+ (* -1 (* (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z))) (* x (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))))>
#<alt (* x (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))>
#<alt (* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))) (+ (* -1 (* (/ (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) x) (sqrt z))) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))))>
#<alt (* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))) (+ (* -1 (* (/ (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) x) (sqrt z))) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))))>
#<alt (* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))) (+ (* -1 (* (/ (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) x) (sqrt z))) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* -1/2 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (* -1 (* (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z)))) x)) (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* -1/2 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (* -1 (* (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z)))) x)) (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* -1/2 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (* -1 (* (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z)))) x)) (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* -1/2 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))))>
#<alt (+ (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (* 1/2 (* (* (pow t 4) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z))))>
#<alt (+ (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (+ (* 1/2 (* (* (pow t 4) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z))) (* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* -1 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))))>
#<alt (+ (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (+ (* 1/2 (* (* (pow t 4) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z))) (* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* -1 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))))>
#<alt (+ (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (+ (* 1/2 (* (* (pow t 4) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z))) (* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* -1 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))))>
#<alt (* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* -1 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))>
#<alt (* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (+ (* -1 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z))) (+ (* 1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y) (sqrt z))) (* 1/2 (* (/ (* (pow t 4) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) y) (sqrt z)))))))>
#<alt (* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (+ (* -1 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z))) (+ (* 1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y) (sqrt z))) (* 1/2 (* (/ (* (pow t 4) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) y) (sqrt z)))))))>
#<alt (* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (+ (* -1 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z))) (+ (* 1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y) (sqrt z))) (* 1/2 (* (/ (* (pow t 4) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) y) (sqrt z)))))))>
#<alt (* -1 (* y (+ (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))>
#<alt (* -1 (* y (+ (* -1 (/ (+ (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (* 1/2 (* (* (pow t 4) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z)))) y)) (+ (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z))))))>
#<alt (* -1 (* y (+ (* -1 (/ (+ (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (* 1/2 (* (* (pow t 4) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z)))) y)) (+ (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z))))))>
#<alt (* -1 (* y (+ (* -1 (/ (+ (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (* 1/2 (* (* (pow t 4) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z)))) y)) (+ (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z))))))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))>
#<alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))))>
#<alt (* 1/48 (* (* (pow t 6) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z)))>
#<alt (* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z)))))>
#<alt (* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))) (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z))))))>
#<alt (* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))) (+ (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 6)) (sqrt z))))))>
#<alt (* 1/48 (* (* (pow t 6) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z)))>
#<alt (* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z)))))>
#<alt (* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))) (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z))))))>
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#<alt (* y (+ (* -1 (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (* 1/2 (/ (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) y))))>
#<alt (* y (+ (* -1 (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (* 1/2 (/ (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) y))))>
#<alt (* -1 (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))>
#<alt (* -1 (* y (+ (* -1/2 (/ (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) y)) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))))>
#<alt (* -1 (* y (+ (* -1/2 (/ (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) y)) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))))>
#<alt (* -1 (* y (+ (* -1/2 (/ (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) y)) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))))>
#<alt (* 1/8 (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (+ (* 1/48 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (+ (* 1/48 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (+ (* 1/48 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* 1/48 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (pow t 2) (+ (* 1/48 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/8 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))))>
#<alt (* (pow t 2) (+ (* 1/48 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/8 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))))>
#<alt (* (pow t 2) (+ (* 1/48 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/8 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))))>
#<alt (* 1/48 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (pow t 2) (+ (* 1/48 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/8 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))))>
#<alt (* (pow t 2) (+ (* 1/48 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/8 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))))>
#<alt (* (pow t 2) (+ (* 1/48 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/8 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))))>
#<alt (* (* (pow t 4) (* (sqrt 2) (* (+ 1/8 (* 1/48 (pow t 2))) (- (* 1/2 x) y)))) (sqrt z))>
#<alt (* (* (pow t 4) (* (sqrt 2) (* (+ 1/8 (* 1/48 (pow t 2))) (- (* 1/2 x) y)))) (sqrt z))>
#<alt (* (* (pow t 4) (* (sqrt 2) (* (+ 1/8 (* 1/48 (pow t 2))) (- (* 1/2 x) y)))) (sqrt z))>
#<alt (* (* (pow t 4) (* (sqrt 2) (* (+ 1/8 (* 1/48 (pow t 2))) (- (* 1/2 x) y)))) (sqrt z))>
#<alt (* (* (pow t 4) (* (sqrt 2) (* (+ 1/8 (* 1/48 (pow t 2))) (- (* 1/2 x) y)))) (sqrt z))>
#<alt (* (* (pow t 4) (* (sqrt 2) (* (+ 1/8 (* 1/48 (pow t 2))) (- (* 1/2 x) y)))) (sqrt z))>
#<alt (* (* (pow t 4) (* (sqrt 2) (* (+ 1/8 (* 1/48 (pow t 2))) (- (* 1/2 x) y)))) (sqrt z))>
#<alt (* (* (pow t 4) (* (sqrt 2) (* (+ 1/8 (* 1/48 (pow t 2))) (- (* 1/2 x) y)))) (sqrt z))>
#<alt (* -1 (* (* (pow t 4) (* (pow (sqrt -1) 2) (* (sqrt 2) (* (+ 1/8 (* 1/48 (pow t 2))) (- (* 1/2 x) y))))) (sqrt z)))>
#<alt (* -1 (* (* (pow t 4) (* (pow (sqrt -1) 2) (* (sqrt 2) (* (+ 1/8 (* 1/48 (pow t 2))) (- (* 1/2 x) y))))) (sqrt z)))>
#<alt (* -1 (* (* (pow t 4) (* (pow (sqrt -1) 2) (* (sqrt 2) (* (+ 1/8 (* 1/48 (pow t 2))) (- (* 1/2 x) y))))) (sqrt z)))>
#<alt (* -1 (* (* (pow t 4) (* (pow (sqrt -1) 2) (* (sqrt 2) (* (+ 1/8 (* 1/48 (pow t 2))) (- (* 1/2 x) y))))) (sqrt z)))>
#<alt (* 1/8 (* (* (pow t 4) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z)))>
#<alt (* (pow t 4) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))>
#<alt (* (pow t 4) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))>
#<alt (* (pow t 4) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))>
#<alt (* 1/48 (* (* (pow t 6) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z)))>
#<alt (* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z)))))>
#<alt (* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z)))))>
#<alt (* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z)))))>
#<alt (* 1/48 (* (* (pow t 6) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z)))>
#<alt (* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z)))))>
#<alt (* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z)))))>
#<alt (* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z)))))>
#<alt (* -1 (* (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z)))>
#<alt (+ (* -1 (* (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z))) (* 1/2 (* (* (pow t 4) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z))))>
#<alt (+ (* -1 (* (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z))) (* 1/2 (* (* (pow t 4) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z))))>
#<alt (+ (* -1 (* (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z))) (* 1/2 (* (* (pow t 4) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z))))>
#<alt (* 1/2 (* (* (pow t 4) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z)))>
#<alt (* x (+ (* -1 (* (/ (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) x) (sqrt z))) (* 1/2 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))>
#<alt (* x (+ (* -1 (* (/ (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) x) (sqrt z))) (* 1/2 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))>
#<alt (* x (+ (* -1 (* (/ (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) x) (sqrt z))) (* 1/2 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))>
#<alt (* 1/2 (* (* (pow t 4) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z)))>
#<alt (* -1 (* x (+ (* -1/2 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z))) (* (/ (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) x) (sqrt z)))))>
#<alt (* -1 (* x (+ (* -1/2 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z))) (* (/ (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) x) (sqrt z)))))>
#<alt (* -1 (* x (+ (* -1/2 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z))) (* (/ (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) x) (sqrt z)))))>
#<alt (* 1/2 (* (* (pow t 4) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z)))>
#<alt (+ (* -1 (* (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z))) (* 1/2 (* (* (pow t 4) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z))))>
#<alt (+ (* -1 (* (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z))) (* 1/2 (* (* (pow t 4) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z))))>
#<alt (+ (* -1 (* (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z))) (* 1/2 (* (* (pow t 4) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z))))>
#<alt (* -1 (* (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z)))>
#<alt (* y (+ (* -1 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z))) (* 1/2 (* (/ (* (pow t 4) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) y) (sqrt z)))))>
#<alt (* y (+ (* -1 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z))) (* 1/2 (* (/ (* (pow t 4) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) y) (sqrt z)))))>
#<alt (* y (+ (* -1 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z))) (* 1/2 (* (/ (* (pow t 4) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) y) (sqrt z)))))>
#<alt (* -1 (* (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z)))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* (pow t 4) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) y) (sqrt z))) (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* (pow t 4) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) y) (sqrt z))) (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* (pow t 4) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) y) (sqrt z))) (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt 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) (* (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 (* -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) (- (* 1/2 x) y))>
#<alt (* (sqrt z) (- (* 1/2 x) y))>
#<alt (* (sqrt z) (- (* 1/2 x) y))>
#<alt (* (sqrt z) (- (* 1/2 x) y))>
#<alt (* (sqrt z) (- (* 1/2 x) y))>
#<alt (* (sqrt z) (- (* 1/2 x) y))>
#<alt (* (sqrt z) (- (* 1/2 x) y))>
#<alt (* (sqrt z) (- (* 1/2 x) y))>
#<alt (* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (- (* 1/2 x) y))))>
#<alt (* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (- (* 1/2 x) y))))>
#<alt (* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (- (* 1/2 x) y))))>
#<alt (* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (- (* 1/2 x) y))))>
#<alt (* -1 (* y (sqrt z)))>
#<alt (+ (* -1 (* y (sqrt z))) (* 1/2 (* x (sqrt z))))>
#<alt (+ (* -1 (* y (sqrt z))) (* 1/2 (* x (sqrt z))))>
#<alt (+ (* -1 (* y (sqrt z))) (* 1/2 (* x (sqrt z))))>
#<alt (* 1/2 (* x (sqrt z)))>
#<alt (* x (+ (* -1 (* (/ y x) (sqrt z))) (* 1/2 (sqrt z))))>
#<alt (* x (+ (* -1 (* (/ y x) (sqrt z))) (* 1/2 (sqrt z))))>
#<alt (* x (+ (* -1 (* (/ y x) (sqrt z))) (* 1/2 (sqrt z))))>
#<alt (* 1/2 (* x (sqrt z)))>
#<alt (* -1 (* x (+ (* -1/2 (sqrt z)) (* (/ y x) (sqrt z)))))>
#<alt (* -1 (* x (+ (* -1/2 (sqrt z)) (* (/ y x) (sqrt z)))))>
#<alt (* -1 (* x (+ (* -1/2 (sqrt z)) (* (/ y x) (sqrt z)))))>
#<alt (* 1/2 (* x (sqrt z)))>
#<alt (+ (* -1 (* y (sqrt z))) (* 1/2 (* x (sqrt z))))>
#<alt (+ (* -1 (* y (sqrt z))) (* 1/2 (* x (sqrt z))))>
#<alt (+ (* -1 (* y (sqrt z))) (* 1/2 (* x (sqrt z))))>
#<alt (* -1 (* y (sqrt z)))>
#<alt (* y (+ (* -1 (sqrt z)) (* 1/2 (* (/ x y) (sqrt z)))))>
#<alt (* y (+ (* -1 (sqrt z)) (* 1/2 (* (/ x y) (sqrt z)))))>
#<alt (* y (+ (* -1 (sqrt z)) (* 1/2 (* (/ x y) (sqrt z)))))>
#<alt (* -1 (* y (sqrt z)))>
#<alt (* -1 (* y (+ (sqrt z) (* -1/2 (* (/ x y) (sqrt z))))))>
#<alt (* -1 (* y (+ (sqrt z) (* -1/2 (* (/ x y) (sqrt z))))))>
#<alt (* -1 (* y (+ (sqrt z) (* -1/2 (* (/ x y) (sqrt z))))))>
Calls

165 calls:

TimeVariablePointExpression
6.0ms
x
@inf
(* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* t (* t 1/2)) 1))
4.0ms
y
@0
(* (* t t) (* (sqrt 2) (* (sqrt z) (+ (* 1/2 x) (neg y)))))
2.0ms
z
@-inf
(* (* t t) (* (sqrt 2) (* (sqrt z) (+ (* 1/2 x) (neg y)))))
1.0ms
z
@-inf
(* (* (* t t) 1/8) (* (* t t) (* (sqrt 2) (* (sqrt z) (+ (* 1/2 x) (neg y))))))
1.0ms
t
@0
(* (* (* t t) 1/8) (* (* t t) (* (sqrt 2) (* (sqrt z) (+ (* 1/2 x) (neg y))))))

rewrite803.0ms (1.8%)

Memory
40.5MiB live, 641.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
9 072×accelerator-lowering-fma.f32
9 072×accelerator-lowering-fma.f64
5 146×*-lowering-*.f32
5 146×*-lowering-*.f64
2 714×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044256
1224253
21725241
08380234
Stop Event
1×iter limit
1×node limit
Counts
24 → 792
Calls
Call 1
Inputs
(+ (* (* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* t (* t 1/2)) 1)) (sqrt z)) (* (sqrt z) (* (* (* t t) (* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* (* t t) 1/48) 1/8))) (* t t))))
(* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* t (* t 1/2)) 1))
(* (sqrt 2) (- (* 1/2 x) y))
(sqrt 2)
(* (sqrt (* z 2)) (neg y))
(sqrt (* z 2))
(* z 2)
(neg y)
(* (* (- (* x 1/2) y) (sqrt z)) (sqrt 2))
(* (- (* x 1/2) y) (sqrt z))
(- (* x 1/2) y)
(* x 1/2)
(+ (* (* x (sqrt (* z 2))) 1/2) (* (sqrt (* z 2)) (neg y)))
(* x (sqrt (* z 2)))
(* (* (* t t) 1/8) (* (* t t) (* (sqrt 2) (* (sqrt z) (+ (* 1/2 x) (neg y))))))
(* (* t t) 1/8)
(* t t)
(* (* t t) (* (sqrt 2) (* (sqrt z) (+ (* 1/2 x) (neg y)))))
(* (* t t) (* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* (* t t) 1/48) 1/8)))
(* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* (* t t) 1/48) 1/8))
(* (sqrt z) (* (* (* t t) (* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* (* t t) 1/48) 1/8))) (* t t)))
(sqrt z)
(* (sqrt 2) (* (sqrt z) (+ (* 1/2 x) (neg y))))
(* (sqrt z) (+ (* 1/2 x) (neg y)))
Outputs
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 z) t) (*.f64 (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))))
(+.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 z) t) (*.f64 (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))))
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(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 z) (neg.f64 (*.f64 y (sqrt.f64 z))))
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(fma.f64 (*.f64 (sqrt.f64 z) x) #s(literal 1/2 binary64) (neg.f64 (*.f64 y (sqrt.f64 z))))
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(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (sqrt.f64 z)) (fma.f64 y (fma.f64 #s(literal 1/2 binary64) x y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))
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(*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 #s(literal 1/2 binary64) x 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 z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x y)))

simplify886.0ms (2%)

Memory
-41.8MiB live, 1 006.7MiB allocated
Algorithm
1×egg-herbie
Rules
14 468×accelerator-lowering-fma.f32
14 468×accelerator-lowering-fma.f64
6 424×+-lowering-+.f64
6 424×+-lowering-+.f32
5 530×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044512556
1162511549
2403311191
0827510747
Stop Event
1×iter limit
1×node limit
Counts
660 → 660
Calls
Call 1
Inputs
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (* -1 (* (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z))))
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (+ (* -1 (* (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z))) (* x (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))))
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (+ (* -1 (* (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z))) (* x (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))))
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (+ (* -1 (* (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z))) (* x (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))))
(* x (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))
(* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))) (+ (* -1 (* (/ (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) x) (sqrt z))) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))))
(* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))) (+ (* -1 (* (/ (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) x) (sqrt z))) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))))
(* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))) (+ (* -1 (* (/ (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) x) (sqrt z))) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* -1/2 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (* -1 (* (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z)))) x)) (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* -1/2 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (* -1 (* (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z)))) x)) (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* -1/2 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (* -1 (* (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z)))) x)) (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* -1/2 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))))
(+ (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (* 1/2 (* (* (pow t 4) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z))))
(+ (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (+ (* 1/2 (* (* (pow t 4) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z))) (* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* -1 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))))
(+ (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (+ (* 1/2 (* (* (pow t 4) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z))) (* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* -1 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))))
(+ (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (+ (* 1/2 (* (* (pow t 4) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z))) (* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* -1 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))))
(* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* -1 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (+ (* -1 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z))) (+ (* 1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y) (sqrt z))) (* 1/2 (* (/ (* (pow t 4) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) y) (sqrt z)))))))
(* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (+ (* -1 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z))) (+ (* 1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y) (sqrt z))) (* 1/2 (* (/ (* (pow t 4) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) y) (sqrt z)))))))
(* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (+ (* -1 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z))) (+ (* 1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y) (sqrt z))) (* 1/2 (* (/ (* (pow t 4) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) y) (sqrt z)))))))
(* -1 (* y (+ (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))
(* -1 (* y (+ (* -1 (/ (+ (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (* 1/2 (* (* (pow t 4) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z)))) y)) (+ (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z))))))
(* -1 (* y (+ (* -1 (/ (+ (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (* 1/2 (* (* (pow t 4) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z)))) y)) (+ (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z))))))
(* -1 (* y (+ (* -1 (/ (+ (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (* 1/2 (* (* (pow t 4) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z)))) y)) (+ (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z))))))
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(* 1/8 (* (* (pow t 4) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z)))
(* (pow t 4) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))
(* (pow t 4) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))
(* (pow t 4) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))
(* 1/48 (* (* (pow t 6) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z)))
(* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z)))))
(* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z)))))
(* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z)))))
(* 1/48 (* (* (pow t 6) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z)))
(* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z)))))
(* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z)))))
(* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z)))))
(* -1 (* (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z)))
(+ (* -1 (* (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z))) (* 1/2 (* (* (pow t 4) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z))))
(+ (* -1 (* (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z))) (* 1/2 (* (* (pow t 4) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z))))
(+ (* -1 (* (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z))) (* 1/2 (* (* (pow t 4) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z))))
(* 1/2 (* (* (pow t 4) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z)))
(* x (+ (* -1 (* (/ (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) x) (sqrt z))) (* 1/2 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))
(* x (+ (* -1 (* (/ (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) x) (sqrt z))) (* 1/2 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))
(* x (+ (* -1 (* (/ (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) x) (sqrt z))) (* 1/2 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))
(* 1/2 (* (* (pow t 4) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z)))
(* -1 (* x (+ (* -1/2 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z))) (* (/ (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z))) (* (/ (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z))) (* (/ (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) x) (sqrt z)))))
(* 1/2 (* (* (pow t 4) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z)))
(+ (* -1 (* (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z))) (* 1/2 (* (* (pow t 4) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z))))
(+ (* -1 (* (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z))) (* 1/2 (* (* (pow t 4) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z))))
(+ (* -1 (* (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z))) (* 1/2 (* (* (pow t 4) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z))))
(* -1 (* (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z)))
(* y (+ (* -1 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z))) (* 1/2 (* (/ (* (pow t 4) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) y) (sqrt z)))))
(* y (+ (* -1 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z))) (* 1/2 (* (/ (* (pow t 4) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) y) (sqrt z)))))
(* y (+ (* -1 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z))) (* 1/2 (* (/ (* (pow t 4) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) y) (sqrt z)))))
(* -1 (* (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z)))
(* -1 (* y (+ (* -1/2 (* (/ (* (pow t 4) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) y) (sqrt z))) (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))
(* -1 (* y (+ (* -1/2 (* (/ (* (pow t 4) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) y) (sqrt z))) (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))
(* -1 (* y (+ (* -1/2 (* (/ (* (pow t 4) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) y) (sqrt z))) (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt 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) (* (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) (* (pow (sqrt -1) 2) (* (sqrt 2) (- (* 1/2 x) y)))))
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (- (* 1/2 x) y)))))
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (- (* 1/2 x) y)))))
(* -1 (* (sqrt z) (* (pow (sqrt -1) 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) (- (* 1/2 x) y))
(* (sqrt z) (- (* 1/2 x) y))
(* (sqrt z) (- (* 1/2 x) y))
(* (sqrt z) (- (* 1/2 x) y))
(* (sqrt z) (- (* 1/2 x) y))
(* (sqrt z) (- (* 1/2 x) y))
(* (sqrt z) (- (* 1/2 x) y))
(* (sqrt z) (- (* 1/2 x) y))
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (- (* 1/2 x) y))))
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (- (* 1/2 x) y))))
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (- (* 1/2 x) y))))
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (- (* 1/2 x) y))))
(* -1 (* y (sqrt z)))
(+ (* -1 (* y (sqrt z))) (* 1/2 (* x (sqrt z))))
(+ (* -1 (* y (sqrt z))) (* 1/2 (* x (sqrt z))))
(+ (* -1 (* y (sqrt z))) (* 1/2 (* x (sqrt z))))
(* 1/2 (* x (sqrt z)))
(* x (+ (* -1 (* (/ y x) (sqrt z))) (* 1/2 (sqrt z))))
(* x (+ (* -1 (* (/ y x) (sqrt z))) (* 1/2 (sqrt z))))
(* x (+ (* -1 (* (/ y x) (sqrt z))) (* 1/2 (sqrt z))))
(* 1/2 (* x (sqrt z)))
(* -1 (* x (+ (* -1/2 (sqrt z)) (* (/ y x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (sqrt z)) (* (/ y x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (sqrt z)) (* (/ y x) (sqrt z)))))
(* 1/2 (* x (sqrt z)))
(+ (* -1 (* y (sqrt z))) (* 1/2 (* x (sqrt z))))
(+ (* -1 (* y (sqrt z))) (* 1/2 (* x (sqrt z))))
(+ (* -1 (* y (sqrt z))) (* 1/2 (* x (sqrt z))))
(* -1 (* y (sqrt z)))
(* y (+ (* -1 (sqrt z)) (* 1/2 (* (/ x y) (sqrt z)))))
(* y (+ (* -1 (sqrt z)) (* 1/2 (* (/ x y) (sqrt z)))))
(* y (+ (* -1 (sqrt z)) (* 1/2 (* (/ x y) (sqrt z)))))
(* -1 (* y (sqrt z)))
(* -1 (* y (+ (sqrt z) (* -1/2 (* (/ x y) (sqrt z))))))
(* -1 (* y (+ (sqrt z) (* -1/2 (* (/ x y) (sqrt z))))))
(* -1 (* y (+ (sqrt z) (* -1/2 (* (/ x y) (sqrt z))))))
Outputs
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (* -1 (* (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z))))
(*.f64 (neg.f64 (sqrt.f64 z)) (fma.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (pow.f64 t #s(literal 4 binary64)) (*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))))))
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (+ (* -1 (* (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z))) (* x (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))))
(-.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (fma.f64 (pow.f64 t #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))))) (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (pow.f64 t #s(literal 4 binary64)) (*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))))))
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (+ (* -1 (* (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z))) (* x (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))))
(-.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (fma.f64 (pow.f64 t #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))))) (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (pow.f64 t #s(literal 4 binary64)) (*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))))))
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (+ (* -1 (* (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z))) (* x (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))))
(-.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (fma.f64 (pow.f64 t #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))))) (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (pow.f64 t #s(literal 4 binary64)) (*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))))))
(* x (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (fma.f64 (pow.f64 t #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))))))
(* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))) (+ (* -1 (* (/ (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) x) (sqrt z))) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (fma.f64 (pow.f64 t #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))) (neg.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (fma.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (pow.f64 t #s(literal 4 binary64)) (*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))))))))
(* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))) (+ (* -1 (* (/ (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) x) (sqrt z))) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))))
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(* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))) (+ (* -1 (* (/ (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) x) (sqrt z))) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (fma.f64 (pow.f64 t #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))) (neg.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (fma.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (pow.f64 t #s(literal 4 binary64)) (*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))))))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* -1/2 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z))))))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (fma.f64 (pow.f64 t #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (* -1 (* (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z)))) x)) (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* -1/2 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))))
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(sqrt z)
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(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
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(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
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(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
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(*.f64 y (*.f64 (sqrt.f64 z) (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) y) (sqrt.f64 #s(literal 2 binary64)))))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(*.f64 y (*.f64 (sqrt.f64 z) (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) y) (sqrt.f64 #s(literal 2 binary64)))))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
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(* -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 y (*.f64 (neg.f64 (sqrt.f64 z)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (sqrt.f64 #s(literal 2 binary64)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
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(* (sqrt z) (- (* 1/2 x) y))
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(* (sqrt z) (- (* 1/2 x) y))
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(* (sqrt z) (- (* 1/2 x) y))
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eval341.0ms (0.8%)

Memory
17.6MiB live, 666.2MiB allocated
Compiler

Compiled 68 089 to 3 421 computations (95% saved)

prune278.0ms (0.6%)

Memory
-37.0MiB live, 659.2MiB allocated
Pruning

49 alts after pruning (44 fresh and 5 done)

PrunedKeptTotal
New1 841131 854
Fresh83139
Picked235
Done022
Total1 851491 900
Accuracy
100.0%
Counts
1 900 → 49
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.1%
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 z) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (neg.f64 (*.f64 t t))) (*.f64 t t))))
94.5%
(fma.f64 (*.f64 (*.f64 t (*.f64 t (sqrt.f64 z))) t) (*.f64 (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
95.5%
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 z) (*.f64 (sqrt.f64 z) (*.f64 (*.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 t t))))
✓56.6%
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 y)))
94.1%
(fma.f64 (*.f64 t t) (*.f64 (*.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 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)))))
95.2%
(fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) 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)))))
95.1%
(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 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
9.5%
(/.f64 (*.f64 (fma.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 #s(literal 1/2 binary64) x y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))
57.3%
(/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
57.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))))
28.9%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
80.2%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (fma.f64 t (*.f64 t z) z) #s(literal 2 binary64))))
93.2%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))
57.3%
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
59.1%
(*.f64 (*.f64 (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
22.1%
(*.f64 (*.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
94.7%
(*.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)))
86.5%
(*.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)))
48.9%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (*.f64 z #s(literal 2 binary64)))))) #s(literal 1 binary64))
✓57.1%
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
52.3%
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))
53.4%
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) x) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
58.4%
(*.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))
56.1%
(*.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))
46.8%
(*.f64 (*.f64 (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 (*.f64 (*.f64 t t) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
32.1%
(*.f64 (*.f64 (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) x)))))
35.2%
(*.f64 (*.f64 (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 y (sqrt.f64 z))))))
32.3%
(*.f64 (*.f64 (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 x (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) (neg.f64 (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t t)))))))
29.0%
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
28.9%
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
56.1%
(*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
✓53.3%
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
30.3%
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y))
30.2%
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) (neg.f64 (sqrt.f64 z)))
✓58.3%
(*.f64 (*.f64 (neg.f64 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)))
51.3%
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
62.8%
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
30.2%
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
28.9%
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 z))
47.8%
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 t t #s(literal 1 binary64))))))
60.9%
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))
34.3%
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 (*.f64 y y) (neg.f64 y)))
✓30.4%
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 y))
28.3%
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)))) (neg.f64 y))
95.9%
(*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)))) (*.f64 (*.f64 t t) (*.f64 t t)))))
58.9%
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))))))
32.5%
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
52.3%
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 t t #s(literal 1 binary64))))))
63.2%
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))
Compiler

Compiled 2 818 to 1 066 computations (62.2% saved)

regimes348.0ms (0.8%)

Memory
26.6MiB live, 647.4MiB allocated
Counts
83 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 y))
(*.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 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 (sqrt.f64 z) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) (neg.f64 (sqrt.f64 z)))
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y))
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 t t #s(literal 1 binary64))))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 z))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 t t #s(literal 1 binary64))))))
(*.f64 (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 (*.f64 y y) (neg.f64 y)))
(*.f64 (*.f64 (neg.f64 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) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (-.f64 (*.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) (*.f64 z (fma.f64 t t #s(literal 1 binary64))))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 t (*.f64 t z) z))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (fma.f64 t (*.f64 t z) z) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)))) (neg.f64 y))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(*.f64 (*.f64 (/.f64 (neg.f64 (*.f64 y y)) 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 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(*.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 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 (*.f64 (*.f64 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))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 y)))
(*.f64 (*.f64 (neg.f64 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 (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 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 z #s(literal 2 binary64))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (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 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) x) (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 t t) #s(literal 1/8 binary64)) (*.f64 (*.f64 (*.f64 t t) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (*.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)))) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #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 (*.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 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
(*.f64 (*.f64 (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 y (sqrt.f64 z))))))
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 #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 t t) #s(literal 1/8 binary64)) (*.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) x)))))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)) (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 t t) #s(literal 1/8 binary64)) (*.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))))
(*.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 (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64))))) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 (fma.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 #s(literal 1/2 binary64) x 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 (*.f64 (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 x (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) (neg.f64 (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t t)))))))
(*.f64 (*.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y y))) (sqrt.f64 (*.f64 z #s(literal 2 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 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 z) (*.f64 (sqrt.f64 z) (*.f64 (*.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 t t))))
(*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)))) (*.f64 (*.f64 t t) (*.f64 t t)))))
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 y (*.f64 (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 (sqrt.f64 #s(literal 2 binary64)) x)) (*.f64 (*.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))) #s(literal -1/2 binary64)))) (neg.f64 x))
(fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 t t) (*.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) 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)))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 z) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (neg.f64 (*.f64 t t))) (*.f64 t t))))
(fma.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))) (*.f64 (*.f64 t t) (*.f64 (*.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 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)))))
(fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) 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)))))
(fma.f64 (*.f64 t t) (*.f64 (*.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 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)))))
(fma.f64 (*.f64 (*.f64 t (*.f64 t (sqrt.f64 z))) t) (*.f64 (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 z) (*.f64 (sqrt.f64 z) (*.f64 (*.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 t t))))
(*.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 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 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 (-.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 1/2 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 (*.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))
(/.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) (/.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 (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) x) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.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 (*.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))))
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:

36.0ms
x
35.0ms
(*.f64 x #s(literal 1/2 binary64))
27.0ms
t
26.0ms
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
26.0ms
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
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)

regimes408.0ms (0.9%)

Memory
1.8MiB live, 634.0MiB allocated
Counts
74 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 y))
(*.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 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 (sqrt.f64 z) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) (neg.f64 (sqrt.f64 z)))
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y))
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 t t #s(literal 1 binary64))))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 z))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 t t #s(literal 1 binary64))))))
(*.f64 (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 (*.f64 y y) (neg.f64 y)))
(*.f64 (*.f64 (neg.f64 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) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (-.f64 (*.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) (*.f64 z (fma.f64 t t #s(literal 1 binary64))))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 t (*.f64 t z) z))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (fma.f64 t (*.f64 t z) z) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)))) (neg.f64 y))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(*.f64 (*.f64 (/.f64 (neg.f64 (*.f64 y y)) 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 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(*.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 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 (*.f64 (*.f64 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))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 y)))
(*.f64 (*.f64 (neg.f64 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 (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 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 z #s(literal 2 binary64))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (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 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) x) (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 t t) #s(literal 1/8 binary64)) (*.f64 (*.f64 (*.f64 t t) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (*.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)))) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #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 (*.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 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
(*.f64 (*.f64 (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 y (sqrt.f64 z))))))
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 #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 t t) #s(literal 1/8 binary64)) (*.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) x)))))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)) (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 t t) #s(literal 1/8 binary64)) (*.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))))
(*.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 (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64))))) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 (fma.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 #s(literal 1/2 binary64) x 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 (*.f64 (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 x (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) (neg.f64 (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t t)))))))
(*.f64 (*.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y y))) (sqrt.f64 (*.f64 z #s(literal 2 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 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 z) (*.f64 (sqrt.f64 z) (*.f64 (*.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 t t))))
(*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)))) (*.f64 (*.f64 t t) (*.f64 t t)))))
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 y (*.f64 (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 (sqrt.f64 #s(literal 2 binary64)) x)) (*.f64 (*.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))) #s(literal -1/2 binary64)))) (neg.f64 x))
(fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 t t) (*.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) 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)))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 z) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (neg.f64 (*.f64 t t))) (*.f64 t t))))
(fma.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))) (*.f64 (*.f64 t t) (*.f64 (*.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 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)))))
(fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) 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)))))
(fma.f64 (*.f64 t t) (*.f64 (*.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 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)))))
(fma.f64 (*.f64 (*.f64 t (*.f64 t (sqrt.f64 z))) t) (*.f64 (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 z) (*.f64 (sqrt.f64 z) (*.f64 (*.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 t t))))
(*.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 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))
Outputs
(*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)))) (*.f64 (*.f64 t t) (*.f64 t t)))))
Calls

13 calls:

52.0ms
(*.f64 x #s(literal 1/2 binary64))
47.0ms
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
39.0ms
z
31.0ms
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
30.0ms
(*.f64 z #s(literal 2 binary64))
Results
AccuracySegmentsBranch
95.9%1x
95.9%1y
95.9%1z
95.9%1t
95.9%1(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
95.9%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
95.9%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
95.9%1(*.f64 x #s(literal 1/2 binary64))
95.9%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
95.9%1(*.f64 z #s(literal 2 binary64))
95.9%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
95.9%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
95.9%1(*.f64 t t)
Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes239.0ms (0.5%)

Memory
31.0MiB live, 578.0MiB allocated
Counts
61 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 y))
(*.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 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 (sqrt.f64 z) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) (neg.f64 (sqrt.f64 z)))
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y))
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 t t #s(literal 1 binary64))))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 z))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 t t #s(literal 1 binary64))))))
(*.f64 (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 (*.f64 y y) (neg.f64 y)))
(*.f64 (*.f64 (neg.f64 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) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (-.f64 (*.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) (*.f64 z (fma.f64 t t #s(literal 1 binary64))))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 t (*.f64 t z) z))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (fma.f64 t (*.f64 t z) z) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)))) (neg.f64 y))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(*.f64 (*.f64 (/.f64 (neg.f64 (*.f64 y y)) 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 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(*.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 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 (*.f64 (*.f64 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))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 y)))
(*.f64 (*.f64 (neg.f64 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 (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 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 z #s(literal 2 binary64))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (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 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) x) (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 t t) #s(literal 1/8 binary64)) (*.f64 (*.f64 (*.f64 t t) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (*.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)))) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #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 (*.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 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
(*.f64 (*.f64 (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 y (sqrt.f64 z))))))
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 #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 t t) #s(literal 1/8 binary64)) (*.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) x)))))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)) (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 t t) #s(literal 1/8 binary64)) (*.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))))
(*.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 (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64))))) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 (fma.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 #s(literal 1/2 binary64) x 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 (*.f64 (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 x (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) (neg.f64 (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t t)))))))
(*.f64 (*.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y y))) (sqrt.f64 (*.f64 z #s(literal 2 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 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 z) (*.f64 (sqrt.f64 z) (*.f64 (*.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 t t))))
Outputs
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 z) (*.f64 (sqrt.f64 z) (*.f64 (*.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 t t))))
Calls

13 calls:

20.0ms
t
19.0ms
y
19.0ms
x
19.0ms
z
19.0ms
(*.f64 z #s(literal 2 binary64))
Results
AccuracySegmentsBranch
95.5%1y
95.5%1z
95.5%1t
95.5%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
95.5%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
95.5%1(*.f64 z #s(literal 2 binary64))
95.5%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
95.5%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
95.5%1(*.f64 t t)
95.5%1x
95.5%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
95.5%1(*.f64 x #s(literal 1/2 binary64))
95.5%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))))
Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes321.0ms (0.7%)

Memory
1.9MiB live, 560.0MiB allocated
Counts
60 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 y))
(*.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 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 (sqrt.f64 z) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) (neg.f64 (sqrt.f64 z)))
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y))
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 t t #s(literal 1 binary64))))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 z))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 t t #s(literal 1 binary64))))))
(*.f64 (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 (*.f64 y y) (neg.f64 y)))
(*.f64 (*.f64 (neg.f64 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) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (-.f64 (*.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) (*.f64 z (fma.f64 t t #s(literal 1 binary64))))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 t (*.f64 t z) z))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (fma.f64 t (*.f64 t z) z) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)))) (neg.f64 y))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(*.f64 (*.f64 (/.f64 (neg.f64 (*.f64 y y)) 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 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(*.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 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 (*.f64 (*.f64 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))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 y)))
(*.f64 (*.f64 (neg.f64 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 (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 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 z #s(literal 2 binary64))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (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 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) x) (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 t t) #s(literal 1/8 binary64)) (*.f64 (*.f64 (*.f64 t t) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (*.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)))) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #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 (*.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 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
(*.f64 (*.f64 (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 y (sqrt.f64 z))))))
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 #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 t t) #s(literal 1/8 binary64)) (*.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) x)))))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)) (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 t t) #s(literal 1/8 binary64)) (*.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))))
(*.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 (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64))))) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 (fma.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 #s(literal 1/2 binary64) x 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 (*.f64 (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 x (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) (neg.f64 (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t t)))))))
(*.f64 (*.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y y))) (sqrt.f64 (*.f64 z #s(literal 2 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 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
Outputs
(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 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
Calls

13 calls:

86.0ms
(*.f64 z #s(literal 2 binary64))
26.0ms
(*.f64 x #s(literal 1/2 binary64))
23.0ms
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
20.0ms
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
19.0ms
x
Results
AccuracySegmentsBranch
95.1%1z
95.1%1t
95.1%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
95.1%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
95.1%1(*.f64 z #s(literal 2 binary64))
95.1%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
95.1%1(*.f64 t t)
95.1%1y
95.1%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
95.1%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
95.1%1x
95.1%1(*.f64 x #s(literal 1/2 binary64))
95.1%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))))
Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes298.0ms (0.7%)

Memory
-10.0MiB live, 357.8MiB allocated
Counts
59 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 y))
(*.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 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 (sqrt.f64 z) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) (neg.f64 (sqrt.f64 z)))
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y))
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 t t #s(literal 1 binary64))))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 z))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 t t #s(literal 1 binary64))))))
(*.f64 (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 (*.f64 y y) (neg.f64 y)))
(*.f64 (*.f64 (neg.f64 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) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (-.f64 (*.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) (*.f64 z (fma.f64 t t #s(literal 1 binary64))))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 t (*.f64 t z) z))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (fma.f64 t (*.f64 t z) z) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)))) (neg.f64 y))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(*.f64 (*.f64 (/.f64 (neg.f64 (*.f64 y y)) 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 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(*.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 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 (*.f64 (*.f64 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))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 y)))
(*.f64 (*.f64 (neg.f64 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 (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 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 z #s(literal 2 binary64))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (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 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) x) (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 t t) #s(literal 1/8 binary64)) (*.f64 (*.f64 (*.f64 t t) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (*.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)))) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #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 (*.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 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
(*.f64 (*.f64 (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 y (sqrt.f64 z))))))
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 #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 t t) #s(literal 1/8 binary64)) (*.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) x)))))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)) (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 t t) #s(literal 1/8 binary64)) (*.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))))
(*.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 (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64))))) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 (fma.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 #s(literal 1/2 binary64) x 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 (*.f64 (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 x (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) (neg.f64 (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t t)))))))
(*.f64 (*.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y 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 (*.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:

39.0ms
y
38.0ms
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
38.0ms
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
21.0ms
(*.f64 x #s(literal 1/2 binary64))
20.0ms
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
94.7%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
94.7%1x
94.7%1y
94.7%1z
94.7%1t
94.7%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
94.7%1(*.f64 x #s(literal 1/2 binary64))
94.7%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
94.7%1(*.f64 z #s(literal 2 binary64))
94.7%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
94.7%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
94.7%1(*.f64 t t)
94.7%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))))
Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes2.0s (4.6%)

Memory
-0.5MiB live, 435.6MiB allocated
Counts
53 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 y))
(*.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 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 (sqrt.f64 z) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) (neg.f64 (sqrt.f64 z)))
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y))
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 t t #s(literal 1 binary64))))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 z))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 t t #s(literal 1 binary64))))))
(*.f64 (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 (*.f64 y y) (neg.f64 y)))
(*.f64 (*.f64 (neg.f64 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) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (-.f64 (*.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) (*.f64 z (fma.f64 t t #s(literal 1 binary64))))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 t (*.f64 t z) z))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (fma.f64 t (*.f64 t z) z) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)))) (neg.f64 y))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(*.f64 (*.f64 (/.f64 (neg.f64 (*.f64 y y)) 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 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(*.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 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 (*.f64 (*.f64 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))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 y)))
(*.f64 (*.f64 (neg.f64 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 (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 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 z #s(literal 2 binary64))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (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 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) x) (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 t t) #s(literal 1/8 binary64)) (*.f64 (*.f64 (*.f64 t t) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (*.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)))) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #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 (*.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 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
(*.f64 (*.f64 (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 y (sqrt.f64 z))))))
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 #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 t t) #s(literal 1/8 binary64)) (*.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) x)))))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)) (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 t t) #s(literal 1/8 binary64)) (*.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))))
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

13 calls:

912.0ms
(*.f64 x #s(literal 1/2 binary64))
900.0ms
x
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))))
29.0ms
z
25.0ms
t
Results
AccuracySegmentsBranch
94.3%1t
94.3%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
94.3%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
94.3%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
94.3%1(*.f64 t t)
94.3%1y
94.3%1z
94.3%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))))
94.3%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
94.3%1(*.f64 z #s(literal 2 binary64))
94.3%1x
94.3%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
94.3%1(*.f64 x #s(literal 1/2 binary64))
Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes247.0ms (0.6%)

Memory
18.8MiB live, 405.8MiB allocated
Counts
44 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 y))
(*.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 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 (sqrt.f64 z) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) (neg.f64 (sqrt.f64 z)))
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y))
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 t t #s(literal 1 binary64))))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 z))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 t t #s(literal 1 binary64))))))
(*.f64 (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 (*.f64 y y) (neg.f64 y)))
(*.f64 (*.f64 (neg.f64 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) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (-.f64 (*.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) (*.f64 z (fma.f64 t t #s(literal 1 binary64))))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 t (*.f64 t z) z))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (fma.f64 t (*.f64 t z) z) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)))) (neg.f64 y))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(*.f64 (*.f64 (/.f64 (neg.f64 (*.f64 y y)) 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 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(*.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 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 (*.f64 (*.f64 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))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 y)))
(*.f64 (*.f64 (neg.f64 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 (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 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 z #s(literal 2 binary64))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (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 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)) x) (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 t t) #s(literal 1/8 binary64)) (*.f64 (*.f64 (*.f64 t t) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (*.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)))) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #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))))
Outputs
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64)))))
Calls

13 calls:

45.0ms
(*.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))))
34.0ms
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
21.0ms
z
20.0ms
(*.f64 z #s(literal 2 binary64))
17.0ms
(/.f64 (*.f64 t t) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
93.2%1y
93.2%1z
93.2%1t
93.2%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))))
93.2%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
93.2%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
93.2%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
93.2%1(*.f64 z #s(literal 2 binary64))
93.2%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
93.2%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
93.2%1(*.f64 t t)
93.2%1x
93.2%1(*.f64 x #s(literal 1/2 binary64))
Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes186.0ms (0.4%)

Memory
-61.4MiB live, 220.7MiB allocated
Counts
30 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 y))
(*.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 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 (sqrt.f64 z) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) (neg.f64 (sqrt.f64 z)))
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y))
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 t t #s(literal 1 binary64))))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 z))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 t t #s(literal 1 binary64))))))
(*.f64 (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 (*.f64 y y) (neg.f64 y)))
(*.f64 (*.f64 (neg.f64 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) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (-.f64 (*.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) (*.f64 z (fma.f64 t t #s(literal 1 binary64))))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 t (*.f64 t z) z))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (fma.f64 t (*.f64 t z) z) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)))) (neg.f64 y))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(*.f64 (*.f64 (/.f64 (neg.f64 (*.f64 y y)) 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 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(*.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)))
Outputs
(*.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)))
Calls

13 calls:

52.0ms
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
20.0ms
t
11.0ms
x
9.0ms
(*.f64 t t)
9.0ms
(*.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
86.5%1y
86.5%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))))
86.5%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
86.5%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
86.5%1x
86.5%1z
86.5%1t
86.5%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
86.5%1(*.f64 x #s(literal 1/2 binary64))
86.5%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
86.5%1(*.f64 z #s(literal 2 binary64))
86.5%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
86.5%1(*.f64 t t)
Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes118.0ms (0.3%)

Memory
8.2MiB live, 243.1MiB allocated
Counts
29 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 y))
(*.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 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 (sqrt.f64 z) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) (neg.f64 (sqrt.f64 z)))
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y))
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 t t #s(literal 1 binary64))))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 z))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 t t #s(literal 1 binary64))))))
(*.f64 (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 (*.f64 y y) (neg.f64 y)))
(*.f64 (*.f64 (neg.f64 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) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (-.f64 (*.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) (*.f64 z (fma.f64 t t #s(literal 1 binary64))))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 t (*.f64 t z) z))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (fma.f64 t (*.f64 t z) z) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)))) (neg.f64 y))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(*.f64 (*.f64 (/.f64 (neg.f64 (*.f64 y y)) 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 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(*.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))
Outputs
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 t t #s(literal 1 binary64))))))
Calls

13 calls:

11.0ms
z
10.0ms
(*.f64 x #s(literal 1/2 binary64))
10.0ms
(*.f64 z #s(literal 2 binary64))
9.0ms
x
9.0ms
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
85.0%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))))
85.0%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
85.0%1x
85.0%1y
85.0%1z
85.0%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
85.0%1(*.f64 x #s(literal 1/2 binary64))
85.0%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
85.0%1(*.f64 z #s(literal 2 binary64))
85.0%1t
85.0%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
85.0%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
85.0%1(*.f64 t t)
Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes96.0ms (0.2%)

Memory
13.9MiB live, 246.7MiB allocated
Counts
21 → 2
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 y))
(*.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 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 (sqrt.f64 z) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) (neg.f64 (sqrt.f64 z)))
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y))
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 t t #s(literal 1 binary64))))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 z))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 t t #s(literal 1 binary64))))))
(*.f64 (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 (*.f64 y y) (neg.f64 y)))
(*.f64 (*.f64 (neg.f64 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) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (-.f64 (*.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 z #s(literal 2 binary64))))
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 t t #s(literal 1 binary64))))))
Calls

13 calls:

11.0ms
z
8.0ms
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
8.0ms
y
8.0ms
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
8.0ms
(*.f64 x #s(literal 1/2 binary64))
Results
AccuracySegmentsBranch
60.4%2z
72.6%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))))
60.4%2(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
60.4%2(*.f64 z #s(literal 2 binary64))
71.9%3x
57.3%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
57.3%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
71.9%3(*.f64 x #s(literal 1/2 binary64))
76.1%2(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
69.1%3y
76.9%2t
76.9%2(/.f64 (*.f64 t t) #s(literal 2 binary64))
76.9%2(*.f64 t t)
Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes39.0ms (0.1%)

Memory
20.4MiB live, 92.6MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 y))
(*.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 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 (sqrt.f64 z) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) (neg.f64 (sqrt.f64 z)))
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y))
Outputs
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
Calls

11 calls:

5.0ms
(*.f64 z #s(literal 2 binary64))
5.0ms
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
3.0ms
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
3.0ms
t
3.0ms
y
Results
AccuracySegmentsBranch
57.3%1z
57.3%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
57.3%1(*.f64 z #s(literal 2 binary64))
57.3%1y
57.3%1x
57.3%1(*.f64 x #s(literal 1/2 binary64))
57.3%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))))
57.3%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
57.3%1t
57.3%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
57.3%1(*.f64 t t)
Compiler

Compiled 89 to 70 computations (21.3% saved)

regimes33.0ms (0.1%)

Memory
-17.4MiB live, 63.8MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

13 calls:

12.0ms
t
3.0ms
z
2.0ms
y
2.0ms
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
2.0ms
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
30.4%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))))
30.4%1t
30.4%1(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
30.4%1(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
30.4%1(/.f64 (*.f64 t t) #s(literal 2 binary64))
30.4%1(*.f64 t t)
30.4%1x
30.4%1(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
30.4%1(*.f64 x #s(literal 1/2 binary64))
30.4%1z
30.4%1(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
30.4%1(*.f64 z #s(literal 2 binary64))
30.4%1y
Compiler

Compiled 112 to 88 computations (21.4% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
3.3550266120270955e+107
2.3962313099597205e+114
Compiler

Compiled 24 to 22 computations (8.3% saved)

simplify16.0ms (0%)

Memory
-1.5MiB live, 33.6MiB allocated
Algorithm
1×egg-herbie
Rules
74×*-commutative_binary64
14×sub-neg_binary64
12×+-commutative_binary64
10×neg-sub0_binary64
10×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068274
1115274
2130274
3142274
4148274
5150274
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 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)))) (*.f64 (*.f64 t t) (*.f64 t t)))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 z) (*.f64 (sqrt.f64 z) (*.f64 (*.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 t t))))
(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 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (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 t (*.f64 t #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 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.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)))) (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) (*.f64 z (fma.f64 t t #s(literal 1 binary64))))))
(if (<=.f64 (*.f64 t t) #s(literal 500000000000000016999495856501412297471987359856449023856715357418937635861600416646370808190366722960654336 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 t t #s(literal 1 binary64)))))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (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 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)))) (*.f64 (*.f64 t t) (*.f64 t t)))))
(*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)))) (*.f64 (*.f64 t t) (*.f64 t t)))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 z) (*.f64 (sqrt.f64 z) (*.f64 (*.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 t t))))
(fma.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 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 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
(fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 t t) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))))) (*.f64 (sqrt.f64 z) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.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 #s(literal 2 binary64) z))) (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 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)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.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)))) (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 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 t t #s(literal 1 binary64))))))
(if (<=.f64 (*.f64 t t) #s(literal 500000000000000016999495856501412297471987359856449023856715357418937635861600416646370808190366722960654336 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 t t #s(literal 1 binary64)))))))
(if (<=.f64 (*.f64 t t) #s(literal 500000000000000016999495856501412297471987359856449023856715357418937635861600416646370808190366722960654336 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) (*.f64 z (fma.f64 t t #s(literal 1 binary64))))) (neg.f64 y)))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 y))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y))

soundness1.9s (4.2%)

Memory
18.1MiB live, 1 550.3MiB allocated
Rules
18 894×accelerator-lowering-fma.f32
18 894×accelerator-lowering-fma.f64
14 468×accelerator-lowering-fma.f32
14 468×accelerator-lowering-fma.f64
14 390×accelerator-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01545
15444
227644
3234344
0860644
01362147
14541668
215801575
344681572
088481560
044256
1224253
21725241
08380234
039184
1169181
21100181
09006177
03469525
112507986
249047415
082317241
048275
1256273
21968273
08354256
049112847
1179512028
2440111658
0825410996
044512556
1162511549
2403311191
0827510747
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 702 to 361 computations (48.6% saved)

preprocess255.0ms (0.6%)

Memory
-22.4MiB live, 252.0MiB allocated
Remove

(abs t)

Compiler

Compiled 986 to 448 computations (54.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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