Linear.Quaternion:$c/ from linear-1.19.1.3, A

Time bar (total: 7.5s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 19 to 9 computations (52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-add: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample777.0ms (10.4%)

Results
574.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 291.0ms
ival-mult: 141.0ms (48.4% of total)
ival-add: 139.0ms (47.7% of total)
const: 8.0ms (2.7% of total)
backward-pass: 3.0ms (1% of total)
Bogosity

preprocess66.0ms (0.9%)

Algorithm
2×egg-herbie
Rules
2350×fnmadd-define
2036×sum3-define
1730×fmsub-define
1610×fnmsub-define
1436×fmm-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040107
1134103
234773
3103470
4430470
5678970
0810
11910
2437
3727
4937
5997
0997
Stop Event
1×iter limit
1×saturated
1×node limit
Calls
Call 1
Inputs
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))
Outputs
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))
(+.f64 (*.f64 x y) (*.f64 (*.f64 z z) #s(literal 3 binary64)))
Call 2
Inputs
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))
(+ (+ (+ (* (neg x) y) (* z z)) (* z z)) (* z z))
(+ (+ (+ (* x (neg y)) (* z z)) (* z z)) (* z z))
(+ (+ (+ (* x y) (* (neg z) (neg z))) (* (neg z) (neg z))) (* (neg z) (neg z)))
(neg (+ (+ (+ (* (neg x) y) (* z z)) (* z z)) (* z z)))
(neg (+ (+ (+ (* x (neg y)) (* z z)) (* z z)) (* z z)))
(neg (+ (+ (+ (* x y) (* (neg z) (neg z))) (* (neg z) (neg z))) (* (neg z) (neg z))))
(+ (+ (+ (* y x) (* z z)) (* z z)) (* z z))
(+ (+ (+ (* z y) (* x x)) (* x x)) (* x x))
(+ (+ (+ (* x z) (* y y)) (* y y)) (* y y))
Outputs
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))
(fmsub x y (* (square z) -3))
(+ (+ (+ (* (neg x) y) (* z z)) (* z z)) (* z z))
(fnmsub x y (* (square z) -3))
(+ (+ (+ (* x (neg y)) (* z z)) (* z z)) (* z z))
(fnmsub x y (* (square z) -3))
(+ (+ (+ (* x y) (* (neg z) (neg z))) (* (neg z) (neg z))) (* (neg z) (neg z)))
(fmsub x y (* (square z) -3))
(neg (+ (+ (+ (* (neg x) y) (* z z)) (* z z)) (* z z)))
(fmsub x y (* (square z) 3))
(neg (+ (+ (+ (* x (neg y)) (* z z)) (* z z)) (* z z)))
(fmsub x y (* (square z) 3))
(neg (+ (+ (+ (* x y) (* (neg z) (neg z))) (* (neg z) (neg z))) (* (neg z) (neg z))))
(fnmsub x y (* (square z) 3))
(+ (+ (+ (* y x) (* z z)) (* z z)) (* z z))
(fmsub x y (* (square z) -3))
(+ (+ (+ (* z y) (* x x)) (* x x)) (* x x))
(fma y z (* (square x) 3))
(+ (+ (+ (* x z) (* y y)) (* y y)) (* y y))
(fma (square y) 3 (* x z))
Symmetry

(abs z)

(sort x y)

explain102.0ms (1.4%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
30-0-(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
30-0-(+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z))
30-0-(+.f64 (*.f64 x y) (*.f64 z z))
00-0-(*.f64 x y)
00-0-x
00-0-z
00-0-y
00-0-(*.f64 z z)
Results
57.0ms512×0valid
Compiler

Compiled 110 to 26 computations (76.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 13.0ms (62.4% of total)
ival-add: 7.0ms (33.6% of total)
const: 1.0ms (4.8% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 12 to 8 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.7%
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
▶98.7%
(+.f64 (*.f64 x y) (*.f64 (*.f64 z z) #s(literal 3 binary64)))
Compiler

Compiled 30 to 16 computations (46.7% saved)

simplify8.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x y)
✓cost-diff0
(+.f64 (*.f64 x y) (*.f64 z z))
✓cost-diff128
(+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z))
✓cost-diff256
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
✓cost-diff0
(*.f64 z z)
✓cost-diff0
(*.f64 (*.f64 z z) #s(literal 3 binary64))
✓cost-diff0
(*.f64 x y)
✓cost-diff0
(+.f64 (*.f64 x y) (*.f64 (*.f64 z z) #s(literal 3 binary64)))
Rules
70×fma-define
58×fma-lowering-fma.f32
58×fma-lowering-fma.f64
36×+-lowering-+.f64
36×+-lowering-+.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01148
12747
25847
38547
410247
510347
010347
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (* x y) (* (* z z) 3))
(* x y)
x
y
(* (* z z) 3)
(* z z)
z
3
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))
(+ (+ (* x y) (* z z)) (* z z))
(+ (* x y) (* z z))
(* x y)
x
y
(* z z)
z
Outputs
(+ (* x y) (* (* z z) 3))
(+.f64 (*.f64 x y) (*.f64 z (*.f64 z #s(literal 3 binary64))))
(* x y)
(*.f64 x y)
x
y
(* (* z z) 3)
(*.f64 z (*.f64 z #s(literal 3 binary64)))
(* z z)
(*.f64 z z)
z
3
#s(literal 3 binary64)
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))
(+.f64 (*.f64 x y) (*.f64 z (*.f64 z #s(literal 3 binary64))))
(+ (+ (* x y) (* z z)) (* z z))
(+.f64 (*.f64 x y) (*.f64 z (*.f64 z #s(literal 2 binary64))))
(+ (* x y) (* z z))
(+.f64 (*.f64 x y) (*.f64 z z))
(* x y)
(*.f64 x y)
x
y
(* z z)
(*.f64 z z)
z

localize63.0ms (0.8%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x y)
✓accuracy98.8%
(+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z))
✓accuracy98.8%
(+.f64 (*.f64 x y) (*.f64 z z))
✓accuracy98.7%
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
✓accuracy100.0%
(*.f64 z z)
✓accuracy100.0%
(*.f64 x y)
✓accuracy99.8%
(*.f64 (*.f64 z z) #s(literal 3 binary64))
✓accuracy98.8%
(+.f64 (*.f64 x y) (*.f64 (*.f64 z z) #s(literal 3 binary64)))
Results
47.0ms256×0valid
Compiler

Compiled 70 to 12 computations (82.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 6.0ms (56.6% of total)
ival-add: 5.0ms (47.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series12.0ms (0.2%)

Counts
7 → 192
Calls
Call 1
Inputs
#<alt (+ (* x y) (* (* z z) 3))>
#<alt (* x y)>
#<alt (* (* z z) 3)>
#<alt (* z z)>
#<alt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))>
#<alt (+ (+ (* x y) (* z z)) (* z z))>
#<alt (+ (* x y) (* z z))>
Outputs
#<alt (* 3 (pow z 2))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* 3 (/ (pow z 2) x))))>
#<alt (* x (+ y (* 3 (/ (pow z 2) x))))>
#<alt (* x (+ y (* 3 (/ (pow z 2) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* 3 (pow z 2))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* 3 (/ (pow z 2) y))))>
#<alt (* y (+ x (* 3 (/ (pow z 2) y))))>
#<alt (* y (+ x (* 3 (/ (pow z 2) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* x y)>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (+ (* 2 (pow z 2)) (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (* x y)>
#<alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))>
#<alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))>
#<alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))>
#<alt (+ (* 2 (pow z 2)) (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (* x y)>
#<alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))>
#<alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))>
#<alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))>
#<alt (* x y)>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 2 (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* 2 (/ (pow z 2) x))))>
#<alt (* x (+ y (* 2 (/ (pow z 2) x))))>
#<alt (* x (+ y (* 2 (/ (pow z 2) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* 2 (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* 2 (/ (pow z 2) y))))>
#<alt (* y (+ x (* 2 (/ (pow z 2) y))))>
#<alt (* y (+ x (* 2 (/ (pow z 2) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* x y)>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (* 2 (pow z 2))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (* 2 (pow z 2))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (pow z 2)>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (* x y)>
#<alt (* x (+ y (/ (pow z 2) x)))>
#<alt (* x (+ y (/ (pow z 2) x)))>
#<alt (* x (+ y (/ (pow z 2) x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))>
#<alt (pow z 2)>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (* x y)>
#<alt (* y (+ x (/ (pow z 2) y)))>
#<alt (* y (+ x (/ (pow z 2) y)))>
#<alt (* y (+ x (/ (pow z 2) y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))>
#<alt (* x y)>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
Calls

48 calls:

TimeVariablePointExpression
1.0ms
z
@inf
(* (* z z) 3)
1.0ms
x
@0
(+ (* x y) (* (* z z) 3))
0.0ms
y
@-inf
(+ (* x y) (* (* z z) 3))
0.0ms
z
@inf
(+ (* x y) (* (* z z) 3))
0.0ms
x
@inf
(+ (* x y) (* (* z z) 3))

rewrite482.0ms (6.4%)

Algorithm
1×batch-egg-rewrite
Rules
3398×*-lowering-*.f32
3398×*-lowering-*.f64
2752×+-lowering-+.f64
2752×+-lowering-+.f32
2642×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01139
17138
277436
0845336
Stop Event
1×iter limit
1×node limit
Counts
7 → 233
Calls
Call 1
Inputs
(+ (* x y) (* (* z z) 3))
(* x y)
(* (* z z) 3)
(* z z)
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))
(+ (+ (* x y) (* z z)) (* z z))
(+ (* x y) (* z z))
Outputs
(+.f64 (*.f64 x y) (*.f64 (*.f64 z z) #s(literal 3 binary64)))
(+.f64 (*.f64 (*.f64 z z) #s(literal 3 binary64)) (*.f64 x y))
(+.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (+.f64 (*.f64 x y) (*.f64 (*.f64 z z) #s(literal -3 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 9 binary64))) (+.f64 (*.f64 x y) (*.f64 (*.f64 z z) #s(literal -3 binary64))))))
(-.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (+.f64 (*.f64 x y) (*.f64 (*.f64 z z) #s(literal -3 binary64)))) (/.f64 (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 9 binary64))) (+.f64 (*.f64 x y) (*.f64 (*.f64 z z) #s(literal -3 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 9 binary64))) (-.f64 (*.f64 (*.f64 z z) #s(literal 3 binary64)) (*.f64 x y))) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (-.f64 (*.f64 (*.f64 z z) #s(literal 3 binary64)) (*.f64 x y))))
(fma.f64 x y (*.f64 (*.f64 z z) #s(literal 3 binary64)))
(fma.f64 y x (*.f64 (*.f64 z z) #s(literal 3 binary64)))
(fma.f64 z (*.f64 z #s(literal 3 binary64)) (*.f64 x y))
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 x y))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 x y))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 x y))
(neg.f64 (/.f64 (+.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) #s(literal 27 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 (*.f64 (*.f64 z z) #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 z z) #s(literal 3 binary64)) (*.f64 x y)))))))
(neg.f64 (/.f64 (+.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) #s(literal -9 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x y) (*.f64 (*.f64 z z) #s(literal -3 binary64))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) #s(literal 27 binary64)))) (+.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 (*.f64 (*.f64 z z) #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 z z) #s(literal 3 binary64)) (*.f64 x y))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) #s(literal -9 binary64)))) (+.f64 (*.f64 x y) (*.f64 (*.f64 z z) #s(literal -3 binary64)))))
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(/.f64 (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (-.f64 (*.f64 x y) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 x y) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 (*.f64 z z) (+.f64 (*.f64 x y) (*.f64 z z)))) (-.f64 (*.f64 z z) (+.f64 (*.f64 x y) (*.f64 z z))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (+.f64 (*.f64 x y) (*.f64 z z))) (+.f64 (*.f64 x y) #s(literal 0 binary64))) (*.f64 (+.f64 (*.f64 x y) #s(literal 0 binary64)) (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 (+.f64 (*.f64 x y) #s(literal 0 binary64)) (+.f64 (*.f64 x y) #s(literal 0 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (+.f64 (*.f64 x y) #s(literal 0 binary64)))) (+.f64 (*.f64 x y) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (+.f64 (*.f64 x y) (*.f64 z z))) (*.f64 (*.f64 z z) (-.f64 (*.f64 z z) (+.f64 (*.f64 x y) (*.f64 z z))))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 x y) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) #s(literal 0 binary64)))) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (neg.f64 (+.f64 (*.f64 x (*.f64 y (*.f64 x y))) (-.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 (*.f64 x y) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (neg.f64 (-.f64 (*.f64 x y) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 x y) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 (*.f64 z z) (+.f64 (*.f64 x y) (*.f64 z z))))) (neg.f64 (-.f64 (*.f64 z z) (+.f64 (*.f64 x y) (*.f64 z z)))))
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(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal -1 binary64))
(*.f64 (*.f64 (+.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (+.f64 (*.f64 x y) #s(literal 0 binary64)))) (+.f64 (*.f64 x y) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (+.f64 (*.f64 x y) (*.f64 z z))) (*.f64 (*.f64 z z) (-.f64 (*.f64 z z) (+.f64 (*.f64 x y) (*.f64 z z)))))))
(*.f64 (*.f64 (+.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (+.f64 (*.f64 x y) #s(literal 0 binary64)))) (+.f64 (*.f64 x y) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (+.f64 (*.f64 x y) #s(literal 0 binary64))))))
(*.f64 (*.f64 (+.f64 (*.f64 x y) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (*.f64 x y) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) #s(literal 0 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (+.f64 (*.f64 x y) #s(literal 0 binary64)))) (+.f64 (*.f64 x y) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (+.f64 (*.f64 x y) (*.f64 z z))) (*.f64 (*.f64 z z) (-.f64 (*.f64 z z) (+.f64 (*.f64 x y) (*.f64 z z))))))))
(*.f64 (*.f64 (+.f64 (*.f64 x y) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) #s(literal 0 binary64))))
(*.f64 (+.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 y (*.f64 x y))) (-.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 (*.f64 x y) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(*.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(*.f64 (*.f64 (+.f64 (*.f64 x y) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 (*.f64 z z) (+.f64 (*.f64 x y) (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) (+.f64 (*.f64 x y) (*.f64 z z)))))
(+.f64 (*.f64 x y) (*.f64 z z))
(+.f64 (*.f64 z z) (*.f64 x y))
(+.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (-.f64 (*.f64 x y) (*.f64 z z))) (neg.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 z z))) (-.f64 (*.f64 x y) (*.f64 z z)))))
(-.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (-.f64 (*.f64 x y) (*.f64 z z))) (/.f64 (*.f64 z (*.f64 z (*.f64 z z))) (-.f64 (*.f64 x y) (*.f64 z z))))
(-.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 z z))) (-.f64 (*.f64 z z) (*.f64 x y))) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (-.f64 (*.f64 z z) (*.f64 x y))))
(fma.f64 x y (*.f64 z z))
(fma.f64 y x (*.f64 z z))
(fma.f64 z z (*.f64 x y))
(neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x y) (*.f64 z z))))
(/.f64 (+.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) (+.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 (*.f64 z z) (-.f64 (*.f64 z z) (*.f64 x y)))))
(/.f64 (+.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) (+.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 z z)))))
(/.f64 (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 z (*.f64 z (*.f64 z z)))) (-.f64 (*.f64 x y) (*.f64 z z)))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 (*.f64 z z) (-.f64 (*.f64 z z) (*.f64 x y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) (neg.f64 (+.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 z z))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 z (*.f64 z (*.f64 z z))))) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x y) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 z z)))) (+.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) (*.f64 z z))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z z) (*.f64 x y)) (-.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 y (*.f64 x y))))))
(/.f64 (-.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 y (*.f64 x y)))) (-.f64 (*.f64 z z) (*.f64 x y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) (*.f64 z z)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 y (*.f64 x y))) (-.f64 (*.f64 x y) (*.f64 z z))) (*.f64 (-.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 (-.f64 (*.f64 x y) (*.f64 z z)) (-.f64 (*.f64 x y) (*.f64 z z))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 (*.f64 z z) (-.f64 (*.f64 z z) (*.f64 x y)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 z (*.f64 z (*.f64 z z)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x y) (*.f64 z z)))))
(/.f64 (neg.f64 (-.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 y (*.f64 x y))))) (neg.f64 (-.f64 (*.f64 z z) (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (-.f64 (*.f64 x y) (*.f64 z z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 z z))) (-.f64 (*.f64 x y) (*.f64 z z))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (-.f64 (*.f64 x y) (*.f64 z z))) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (-.f64 (*.f64 x y) (*.f64 z z)))) (+.f64 (*.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 z z))) (-.f64 (*.f64 x y) (*.f64 z z))) (/.f64 (*.f64 z (*.f64 z (*.f64 z z))) (-.f64 (*.f64 x y) (*.f64 z z)))) (*.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (-.f64 (*.f64 x y) (*.f64 z z))) (/.f64 (*.f64 z (*.f64 z (*.f64 z z))) (-.f64 (*.f64 x y) (*.f64 z z)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (-.f64 (*.f64 x y) (*.f64 z z))) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (-.f64 (*.f64 x y) (*.f64 z z)))) (*.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 z z))) (-.f64 (*.f64 x y) (*.f64 z z))) (/.f64 (*.f64 z (*.f64 z (*.f64 z z))) (-.f64 (*.f64 x y) (*.f64 z z))))) (+.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (-.f64 (*.f64 x y) (*.f64 z z))) (/.f64 (*.f64 z (*.f64 z (*.f64 z z))) (-.f64 (*.f64 x y) (*.f64 z z)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) (*.f64 z z))) #s(literal -1 binary64))
(*.f64 (+.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 (*.f64 z z) (-.f64 (*.f64 z z) (*.f64 x y))))))
(*.f64 (+.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 z z))))))
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(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 (*.f64 z z) (-.f64 (*.f64 z z) (*.f64 x y)))))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x y) (*.f64 z z)))))
(*.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) (*.f64 z z)))
(*.f64 (-.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 y (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) (*.f64 x y))))

simplify176.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
3392×*-lowering-*.f32
3392×*-lowering-*.f64
1148×fmsub-define
896×fma-lowering-fma.f32
896×fma-lowering-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0851110
1315962
21055962
33318962
08457962
Stop Event
1×iter limit
1×node limit
Counts
192 → 192
Calls
Call 1
Inputs
(* 3 (pow z 2))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* x y)
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x y)
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* 3 (pow z 2))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* x y)
(* y (+ x (* 3 (/ (pow z 2) y))))
(* y (+ x (* 3 (/ (pow z 2) y))))
(* y (+ x (* 3 (/ (pow z 2) y))))
(* x y)
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* x y)
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* x y)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* x y)
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* x y)
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 2 (pow z 2))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(* x y)
(* x (+ y (* 2 (/ (pow z 2) x))))
(* x (+ y (* 2 (/ (pow z 2) x))))
(* x (+ y (* 2 (/ (pow z 2) x))))
(* x y)
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(* 2 (pow z 2))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(* x y)
(* y (+ x (* 2 (/ (pow z 2) y))))
(* y (+ x (* 2 (/ (pow z 2) y))))
(* y (+ x (* 2 (/ (pow z 2) y))))
(* x y)
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(* x y)
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(* 2 (pow z 2))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* 2 (pow z 2))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(pow z 2)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(* x y)
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (/ (pow z 2) x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(pow z 2)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(* x y)
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (/ (pow z 2) y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* x y)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(pow z 2)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(pow z 2)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
Outputs
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(+ (* 3 (pow z 2)) (* x y))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(+ (* 3 (pow z 2)) (* x y))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(+ (* 3 (pow z 2)) (* x y))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* x y)
(*.f64 x y)
(* x (+ y (* 3 (/ (pow z 2) x))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* x (+ y (* 3 (/ (pow z 2) x))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* x (+ y (* 3 (/ (pow z 2) x))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(+ (* 3 (pow z 2)) (* x y))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(+ (* 3 (pow z 2)) (* x y))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(+ (* 3 (pow z 2)) (* x y))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* x y)
(*.f64 x y)
(* y (+ x (* 3 (/ (pow z 2) y))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* y (+ x (* 3 (/ (pow z 2) y))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* y (+ x (* 3 (/ (pow z 2) y))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* x y)
(*.f64 x y)
(+ (* 3 (pow z 2)) (* x y))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(+ (* 3 (pow z 2)) (* x y))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(+ (* 3 (pow z 2)) (* x y))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(+ (* 2 (pow z 2)) (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* x y)
(*.f64 x y)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(+ (* 2 (pow z 2)) (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* x y)
(*.f64 x y)
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* x y)
(*.f64 x y)
(+ (* 3 (pow z 2)) (* x y))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(+ (* 3 (pow z 2)) (* x y))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(+ (* 3 (pow z 2)) (* x y))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* 2 (pow z 2))
(*.f64 #s(literal 2 binary64) (*.f64 z z))
(+ (* 2 (pow z 2)) (* x y))
(+.f64 (*.f64 x y) (*.f64 #s(literal 2 binary64) (*.f64 z z)))
(+ (* 2 (pow z 2)) (* x y))
(+.f64 (*.f64 x y) (*.f64 #s(literal 2 binary64) (*.f64 z z)))
(+ (* 2 (pow z 2)) (* x y))
(+.f64 (*.f64 x y) (*.f64 #s(literal 2 binary64) (*.f64 z z)))
(* x y)
(*.f64 x y)
(* x (+ y (* 2 (/ (pow z 2) x))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 2 binary64) (*.f64 z z)))
(* x (+ y (* 2 (/ (pow z 2) x))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 2 binary64) (*.f64 z z)))
(* x (+ y (* 2 (/ (pow z 2) x))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 2 binary64) (*.f64 z z)))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 2 binary64) (*.f64 z z)))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 2 binary64) (*.f64 z z)))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 2 binary64) (*.f64 z z)))
(* 2 (pow z 2))
(*.f64 #s(literal 2 binary64) (*.f64 z z))
(+ (* 2 (pow z 2)) (* x y))
(+.f64 (*.f64 x y) (*.f64 #s(literal 2 binary64) (*.f64 z z)))
(+ (* 2 (pow z 2)) (* x y))
(+.f64 (*.f64 x y) (*.f64 #s(literal 2 binary64) (*.f64 z z)))
(+ (* 2 (pow z 2)) (* x y))
(+.f64 (*.f64 x y) (*.f64 #s(literal 2 binary64) (*.f64 z z)))
(* x y)
(*.f64 x y)
(* y (+ x (* 2 (/ (pow z 2) y))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 2 binary64) (*.f64 z z)))
(* y (+ x (* 2 (/ (pow z 2) y))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 2 binary64) (*.f64 z z)))
(* y (+ x (* 2 (/ (pow z 2) y))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 2 binary64) (*.f64 z z)))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 2 binary64) (*.f64 z z)))
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 2 binary64) (*.f64 z z)))
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 2 binary64) (*.f64 z z)))
(* x y)
(*.f64 x y)
(+ (* 2 (pow z 2)) (* x y))
(+.f64 (*.f64 x y) (*.f64 #s(literal 2 binary64) (*.f64 z z)))
(+ (* 2 (pow z 2)) (* x y))
(+.f64 (*.f64 x y) (*.f64 #s(literal 2 binary64) (*.f64 z z)))
(+ (* 2 (pow z 2)) (* x y))
(+.f64 (*.f64 x y) (*.f64 #s(literal 2 binary64) (*.f64 z z)))
(* 2 (pow z 2))
(*.f64 #s(literal 2 binary64) (*.f64 z z))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 2 binary64) (*.f64 z z)))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 2 binary64) (*.f64 z z)))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 2 binary64) (*.f64 z z)))
(* 2 (pow z 2))
(*.f64 #s(literal 2 binary64) (*.f64 z z))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 2 binary64) (*.f64 z z)))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 2 binary64) (*.f64 z z)))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 2 binary64) (*.f64 z z)))
(pow z 2)
(*.f64 z z)
(+ (* x y) (pow z 2))
(+.f64 (*.f64 z z) (*.f64 x y))
(+ (* x y) (pow z 2))
(+.f64 (*.f64 z z) (*.f64 x y))
(+ (* x y) (pow z 2))
(+.f64 (*.f64 z z) (*.f64 x y))
(* x y)
(*.f64 x y)
(* x (+ y (/ (pow z 2) x)))
(+.f64 (*.f64 z z) (*.f64 x y))
(* x (+ y (/ (pow z 2) x)))
(+.f64 (*.f64 z z) (*.f64 x y))
(* x (+ y (/ (pow z 2) x)))
(+.f64 (*.f64 z z) (*.f64 x y))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(+.f64 (*.f64 z z) (*.f64 x y))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(+.f64 (*.f64 z z) (*.f64 x y))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(+.f64 (*.f64 z z) (*.f64 x y))
(pow z 2)
(*.f64 z z)
(+ (* x y) (pow z 2))
(+.f64 (*.f64 z z) (*.f64 x y))
(+ (* x y) (pow z 2))
(+.f64 (*.f64 z z) (*.f64 x y))
(+ (* x y) (pow z 2))
(+.f64 (*.f64 z z) (*.f64 x y))
(* x y)
(*.f64 x y)
(* y (+ x (/ (pow z 2) y)))
(+.f64 (*.f64 z z) (*.f64 x y))
(* y (+ x (/ (pow z 2) y)))
(+.f64 (*.f64 z z) (*.f64 x y))
(* y (+ x (/ (pow z 2) y)))
(+.f64 (*.f64 z z) (*.f64 x y))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(+.f64 (*.f64 z z) (*.f64 x y))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(+.f64 (*.f64 z z) (*.f64 x y))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(+.f64 (*.f64 z z) (*.f64 x y))
(* x y)
(*.f64 x y)
(+ (* x y) (pow z 2))
(+.f64 (*.f64 z z) (*.f64 x y))
(+ (* x y) (pow z 2))
(+.f64 (*.f64 z z) (*.f64 x y))
(+ (* x y) (pow z 2))
(+.f64 (*.f64 z z) (*.f64 x y))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(+.f64 (*.f64 z z) (*.f64 x y))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(+.f64 (*.f64 z z) (*.f64 x y))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(+.f64 (*.f64 z z) (*.f64 x y))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(+.f64 (*.f64 z z) (*.f64 x y))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(+.f64 (*.f64 z z) (*.f64 x y))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(+.f64 (*.f64 z z) (*.f64 x y))

eval65.0ms (0.9%)

Compiler

Compiled 12633 to 806 computations (93.6% saved)

prune76.0ms (1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New4978505
Fresh000
Picked202
Done000
Total4998507
Accuracy
100.0%
Counts
507 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.7%
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 x y))
▶98.8%
(fma.f64 z (+.f64 z z) (+.f64 (*.f64 x y) (*.f64 z z)))
32.0%
(/.f64 (-.f64 (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 9 binary64))) (*.f64 x (*.f64 y (*.f64 x y)))) (-.f64 (*.f64 (*.f64 z z) #s(literal 3 binary64)) (*.f64 x y)))
▶98.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) (*.f64 (*.f64 z z) #s(literal 3 binary64)))))
98.7%
(+.f64 (*.f64 x y) (*.f64 (*.f64 z #s(literal 3 binary64)) z))
▶79.9%
(+.f64 (*.f64 x y) (*.f64 z z))
▶53.0%
(*.f64 x y)
54.1%
(*.f64 #s(literal 3 binary64) (*.f64 z z))
Compiler

Compiled 216 to 130 computations (39.8% saved)

simplify12.0ms (0.2%)

Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x y)
✓cost-diff0
(*.f64 z z)
✓cost-diff6272
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 x y))
✓cost-diff0
(*.f64 x y)
✓cost-diff0
(+.f64 (*.f64 x y) (*.f64 (*.f64 z z) #s(literal 3 binary64)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) (*.f64 (*.f64 z z) #s(literal 3 binary64))))
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) (*.f64 (*.f64 z z) #s(literal 3 binary64)))))
✓cost-diff0
(*.f64 z z)
✓cost-diff0
(*.f64 x y)
✓cost-diff0
(+.f64 (*.f64 x y) (*.f64 z z))
✓cost-diff0
(*.f64 x y)
✓cost-diff0
(*.f64 x y)
✓cost-diff0
(+.f64 (*.f64 x y) (*.f64 z z))
✓cost-diff0
(+.f64 z z)
✓cost-diff6528
(fma.f64 z (+.f64 z z) (+.f64 (*.f64 x y) (*.f64 z z)))
Rules
198×fma-define
130×fma-lowering-fma.f32
130×fma-lowering-fma.f64
82×*-lowering-*.f32
82×*-lowering-*.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
016105
139105
28593
314393
419393
524693
625293
025293
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (* z (+ z z)) (+ (* x y) (* z z)))
z
(+ z z)
(+ (* x y) (* z z))
(* x y)
x
y
(* z z)
(* x y)
x
y
(+ (* x y) (* z z))
(* x y)
x
y
(* z z)
z
(/ 1 (/ 1 (+ (* x y) (* (* z z) 3))))
1
(/ 1 (+ (* x y) (* (* z z) 3)))
(+ (* x y) (* (* z z) 3))
(* x y)
x
y
(* (* z z) 3)
(* z z)
z
3
(+ (* (* z z) 3) (* x y))
(* z z)
z
3
(* x y)
x
y
Outputs
(+ (* z (+ z z)) (+ (* x y) (* z z)))
(+.f64 (*.f64 x y) (*.f64 (*.f64 z z) #s(literal 3 binary64)))
z
(+ z z)
(*.f64 z #s(literal 2 binary64))
(+ (* x y) (* z z))
(+.f64 (*.f64 x y) (*.f64 z z))
(* x y)
(*.f64 x y)
x
y
(* z z)
(*.f64 z z)
(* x y)
(*.f64 x y)
x
y
(+ (* x y) (* z z))
(+.f64 (*.f64 x y) (*.f64 z z))
(* x y)
(*.f64 x y)
x
y
(* z z)
(*.f64 z z)
z
(/ 1 (/ 1 (+ (* x y) (* (* z z) 3))))
(+.f64 (*.f64 x y) (*.f64 (*.f64 z z) #s(literal 3 binary64)))
1
#s(literal 1 binary64)
(/ 1 (+ (* x y) (* (* z z) 3)))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) (*.f64 (*.f64 z z) #s(literal 3 binary64))))
(+ (* x y) (* (* z z) 3))
(+.f64 (*.f64 x y) (*.f64 (*.f64 z z) #s(literal 3 binary64)))
(* x y)
(*.f64 x y)
x
y
(* (* z z) 3)
(*.f64 (*.f64 z z) #s(literal 3 binary64))
(* z z)
(*.f64 z z)
z
3
#s(literal 3 binary64)
(+ (* (* z z) 3) (* x y))
(+.f64 (*.f64 x y) (*.f64 (*.f64 z z) #s(literal 3 binary64)))
(* z z)
(*.f64 z z)
z
3
#s(literal 3 binary64)
(* x y)
(*.f64 x y)
x
y

localize141.0ms (1.9%)

Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 z z)
✓accuracy100.0%
(*.f64 x y)
✓accuracy98.7%
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 x y))
✓accuracy99.8%
(*.f64 (*.f64 z z) #s(literal 3 binary64))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) (*.f64 (*.f64 z z) #s(literal 3 binary64)))))
✓accuracy99.2%
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) (*.f64 (*.f64 z z) #s(literal 3 binary64))))
✓accuracy98.8%
(+.f64 (*.f64 x y) (*.f64 (*.f64 z z) #s(literal 3 binary64)))
✓accuracy100.0%
(*.f64 z z)
✓accuracy100.0%
(*.f64 x y)
✓accuracy98.8%
(+.f64 (*.f64 x y) (*.f64 z z))
✓accuracy100.0%
(*.f64 x y)
✓accuracy100.0%
(*.f64 z z)
✓accuracy100.0%
(*.f64 x y)
✓accuracy100.0%
(fma.f64 z (+.f64 z z) (+.f64 (*.f64 x y) (*.f64 z z)))
✓accuracy98.8%
(+.f64 (*.f64 x y) (*.f64 z z))
Results
90.0ms256×0valid
Compiler

Compiled 123 to 16 computations (87% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-mult: 11.0ms (35.3% of total)
compiled-spec: 9.0ms (28.9% of total)
ival-add: 6.0ms (19.2% of total)
ival-div: 4.0ms (12.8% of total)
const: 1.0ms (3.2% of total)
backward-pass: 0.0ms (0% of total)

series9.0ms (0.1%)

Counts
10 → 276
Calls
Call 1
Inputs
#<alt (+ (* z (+ z z)) (+ (* x y) (* z z)))>
#<alt (+ z z)>
#<alt (+ (* x y) (* z z))>
#<alt (* x y)>
#<alt (* z z)>
#<alt (/ 1 (/ 1 (+ (* x y) (* (* z z) 3))))>
#<alt (/ 1 (+ (* x y) (* (* z z) 3)))>
#<alt (+ (* x y) (* (* z z) 3))>
#<alt (+ (* (* z z) 3) (* x y))>
#<alt (* (* z z) 3)>
Outputs
#<alt (* x y)>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (+ (* 2 (pow z 2)) (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (* x y)>
#<alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))>
#<alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))>
#<alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))>
#<alt (+ (* 2 (pow z 2)) (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (* x y)>
#<alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))>
#<alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))>
#<alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))>
#<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 (pow z 2)>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (* x y)>
#<alt (* x (+ y (/ (pow z 2) x)))>
#<alt (* x (+ y (/ (pow z 2) x)))>
#<alt (* x (+ y (/ (pow z 2) x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))>
#<alt (pow z 2)>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (* x y)>
#<alt (* y (+ x (/ (pow z 2) y)))>
#<alt (* y (+ x (/ (pow z 2) y)))>
#<alt (* y (+ x (/ (pow z 2) y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))>
#<alt (* x y)>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (* 3 (pow z 2))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* 3 (/ (pow z 2) x))))>
#<alt (* x (+ y (* 3 (/ (pow z 2) x))))>
#<alt (* x (+ y (* 3 (/ (pow z 2) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* 3 (pow z 2))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* 3 (/ (pow z 2) y))))>
#<alt (* y (+ x (* 3 (/ (pow z 2) y))))>
#<alt (* y (+ x (* 3 (/ (pow z 2) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* x y)>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (/ 1/3 (pow z 2))>
#<alt (+ (* -1/9 (/ (* x y) (pow z 4))) (* 1/3 (/ 1 (pow z 2))))>
#<alt (+ (* x (- (* 1/27 (/ (* x (pow y 2)) (pow z 6))) (* 1/9 (/ y (pow z 4))))) (* 1/3 (/ 1 (pow z 2))))>
#<alt (+ (* x (- (* x (- (* -1/81 (/ (* x (pow y 3)) (pow z 8))) (* -1/27 (/ (pow y 2) (pow z 6))))) (* 1/9 (/ y (pow z 4))))) (* 1/3 (/ 1 (pow z 2))))>
#<alt (/ 1 (* x y))>
#<alt (/ (+ (* -3 (/ (pow z 2) (* x (pow y 2)))) (/ 1 y)) x)>
#<alt (/ (- (+ (* 9 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (/ 1 y)) (* 3 (/ (pow z 2) (* x (pow y 2))))) x)>
#<alt (/ (- (+ (* -27 (/ (pow z 6) (* (pow x 3) (pow y 4)))) (/ 1 y)) (+ (* -9 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 3 (/ (pow z 2) (* x (pow y 2)))))) x)>
#<alt (/ 1 (* x y))>
#<alt (* -1 (/ (- (* 3 (/ (pow z 2) (* x (pow y 2)))) (/ 1 y)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 9 (/ (pow z 4) (* x (pow y 3)))) (* 3 (/ (pow z 2) (pow y 2)))) x)) (/ 1 y)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27 (/ (pow z 6) (* x (pow y 4)))) (* 9 (/ (pow z 4) (pow y 3)))) x)) (* 3 (/ (pow z 2) (pow y 2)))) x)) (/ 1 y)) x))>
#<alt (/ 1/3 (pow z 2))>
#<alt (+ (* -1/9 (/ (* x y) (pow z 4))) (* 1/3 (/ 1 (pow z 2))))>
#<alt (+ (* y (- (* 1/27 (/ (* (pow x 2) y) (pow z 6))) (* 1/9 (/ x (pow z 4))))) (* 1/3 (/ 1 (pow z 2))))>
#<alt (+ (* y (- (* y (- (* -1/81 (/ (* (pow x 3) y) (pow z 8))) (* -1/27 (/ (pow x 2) (pow z 6))))) (* 1/9 (/ x (pow z 4))))) (* 1/3 (/ 1 (pow z 2))))>
#<alt (/ 1 (* x y))>
#<alt (/ (+ (* -3 (/ (pow z 2) (* (pow x 2) y))) (/ 1 x)) y)>
#<alt (/ (- (+ (* 9 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (/ 1 x)) (* 3 (/ (pow z 2) (* (pow x 2) y)))) y)>
#<alt (/ (- (+ (* -27 (/ (pow z 6) (* (pow x 4) (pow y 3)))) (/ 1 x)) (+ (* -9 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 3 (/ (pow z 2) (* (pow x 2) y))))) y)>
#<alt (/ 1 (* x y))>
#<alt (* -1 (/ (- (* 3 (/ (pow z 2) (* (pow x 2) y))) (/ 1 x)) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 9 (/ (pow z 4) (* (pow x 3) y))) (* 3 (/ (pow z 2) (pow x 2)))) y)) (/ 1 x)) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27 (/ (pow z 6) (* (pow x 4) y))) (* 9 (/ (pow z 4) (pow x 3)))) y)) (* 3 (/ (pow z 2) (pow x 2)))) y)) (/ 1 x)) y))>
#<alt (/ 1 (* x y))>
#<alt (+ (* -3 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (* 9 (/ (pow z 2) (* (pow x 3) (pow y 3)))) (* 3 (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -27 (/ (pow z 2) (* (pow x 4) (pow y 4)))) (* 9 (/ 1 (* (pow x 3) (pow y 3)))))) (* 3 (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (* x y)))>
#<alt (/ 1/3 (pow z 2))>
#<alt (/ (+ 1/3 (* -1/9 (/ (* x y) (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ 1/3 (* 1/27 (/ (* (pow x 2) (pow y 2)) (pow z 4)))) (* 1/9 (/ (* x y) (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ 1/3 (* -1/81 (/ (* (pow x 3) (pow y 3)) (pow z 6)))) (+ (* -1/27 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (* 1/9 (/ (* x y) (pow z 2))))) (pow z 2))>
#<alt (/ 1/3 (pow z 2))>
#<alt (/ (+ 1/3 (* -1/9 (/ (* x y) (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ 1/3 (* 1/27 (/ (* (pow x 2) (pow y 2)) (pow z 4)))) (* 1/9 (/ (* x y) (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ 1/3 (* -1/81 (/ (* (pow x 3) (pow y 3)) (pow z 6)))) (+ (* -1/27 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (* 1/9 (/ (* x y) (pow z 2))))) (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* 3 (/ (pow z 2) x))))>
#<alt (* x (+ y (* 3 (/ (pow z 2) x))))>
#<alt (* x (+ y (* 3 (/ (pow z 2) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* 3 (pow z 2))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* 3 (/ (pow z 2) y))))>
#<alt (* y (+ x (* 3 (/ (pow z 2) y))))>
#<alt (* y (+ x (* 3 (/ (pow z 2) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* x y)>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* x y)>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 3 (pow z 2))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* 3 (/ (pow z 2) x))))>
#<alt (* x (+ y (* 3 (/ (pow z 2) x))))>
#<alt (* x (+ y (* 3 (/ (pow z 2) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* 3 (pow z 2))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* 3 (/ (pow z 2) y))))>
#<alt (* y (+ x (* 3 (/ (pow z 2) y))))>
#<alt (* y (+ x (* 3 (/ (pow z 2) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
Calls

69 calls:

TimeVariablePointExpression
1.0ms
z
@inf
(/ 1 (+ (* x y) (* (* z z) 3)))
0.0ms
x
@inf
(/ 1 (+ (* x y) (* (* z z) 3)))
0.0ms
z
@0
(/ 1 (+ (* x y) (* (* z z) 3)))
0.0ms
x
@0
(/ 1 (+ (* x y) (* (* z z) 3)))
0.0ms
y
@inf
(/ 1 (+ (* x y) (* (* z z) 3)))

rewrite75.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
494×*-lowering-*.f32
494×*-lowering-*.f64
314×/-lowering-/.f32
314×/-lowering-/.f64
302×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01656
110355
0101855
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
10 → 232
Calls
Call 1
Inputs
(+ (* z (+ z z)) (+ (* x y) (* z z)))
(+ z z)
(+ (* x y) (* z z))
(* x y)
(* z z)
(/ 1 (/ 1 (+ (* x y) (* (* z z) 3))))
(/ 1 (+ (* x y) (* (* z z) 3)))
(+ (* x y) (* (* z z) 3))
(+ (* (* z z) 3) (* x y))
(* (* z z) 3)
Outputs
(+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (*.f64 x y) (*.f64 z z)))
(+.f64 (*.f64 x y) (+.f64 (*.f64 z z) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(+.f64 (*.f64 z z) (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x y)))
(+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(+.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x y)) (*.f64 z z))
(+.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 z z)) (*.f64 x y))
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
(-.f64 (/.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 (+.f64 (*.f64 z z) #s(literal 0 binary64)) (*.f64 x y))) (/.f64 (*.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (+.f64 (*.f64 x y) (*.f64 z z))) (-.f64 (+.f64 (*.f64 z z) #s(literal 0 binary64)) (*.f64 x y))))
(fma.f64 z (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (*.f64 x y) (*.f64 z z)))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) z (+.f64 (*.f64 x y) (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (-.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (+.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (*.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (+.f64 (*.f64 x y) (*.f64 z z)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 z z) #s(literal 0 binary64)) (*.f64 x y)) (*.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (*.f64 x y) (*.f64 z z))) (-.f64 (+.f64 (*.f64 z z) #s(literal 0 binary64)) (*.f64 x y)))))
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (*.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (+.f64 (*.f64 x y) (*.f64 z z))))) (+.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (-.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (*.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (+.f64 (*.f64 x y) (*.f64 z z))))) (+.f64 (*.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (+.f64 (*.f64 x y) (*.f64 z z))) (-.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (*.f64 x y) (*.f64 z z))))))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (*.f64 x y) (*.f64 z z))) (-.f64 (+.f64 (*.f64 z z) #s(literal 0 binary64)) (*.f64 x y))) (-.f64 (+.f64 (*.f64 z z) #s(literal 0 binary64)) (*.f64 x y)))
(/.f64 (neg.f64 (+.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (*.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (+.f64 (*.f64 x y) (*.f64 z z)))))) (neg.f64 (+.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (-.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (*.f64 x y) (*.f64 z z))) (-.f64 (+.f64 (*.f64 z z) #s(literal 0 binary64)) (*.f64 x y)))) (neg.f64 (-.f64 (+.f64 (*.f64 z z) #s(literal 0 binary64)) (*.f64 x y))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x y)) #s(literal 3 binary64)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x y)) (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x y))) (-.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x y)) (*.f64 z z)))))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (+.f64 (*.f64 x y) (*.f64 z z))) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (-.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x y)) (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x y))) (*.f64 z (*.f64 z (*.f64 z z)))) (-.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x y)) (*.f64 z z)))
(*.f64 (+.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (*.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (+.f64 (*.f64 x y) (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (-.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (*.f64 x y) (*.f64 z z))) (-.f64 (+.f64 (*.f64 z z) #s(literal 0 binary64)) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 z z) #s(literal 0 binary64)) (*.f64 x y))))
(+.f64 z z)
(+.f64 (*.f64 z z) (*.f64 z z))
(-.f64 (/.f64 (*.f64 z z) #s(literal 0 binary64)) (/.f64 (*.f64 z z) #s(literal 0 binary64)))
(fma.f64 z z (*.f64 z z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 z z) #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 z (*.f64 z z)))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (*.f64 z z))) (+.f64 (*.f64 z z) #s(literal 0 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (*.f64 z z)))) (neg.f64 (+.f64 (*.f64 z z) #s(literal 0 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) (+.f64 (*.f64 z (*.f64 z (*.f64 z z))) (-.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 z (*.f64 z (*.f64 z z))))))
(/.f64 (-.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 z (*.f64 z (*.f64 z z)))) #s(literal 0 binary64))
(/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (*.f64 z (*.f64 z z)))) (+.f64 (*.f64 z z) #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (*.f64 z z))) z) (+.f64 (*.f64 z z) #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) z) #s(literal 0 binary64))
(*.f64 z (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 z #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) z)
(*.f64 #s(literal 2 binary64) z)
(*.f64 #s(literal 2 binary64) (*.f64 z z))
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z z) #s(literal 0 binary64))))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(+.f64 (*.f64 x y) (*.f64 z z))
(+.f64 (*.f64 z z) (*.f64 x y))
(-.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (-.f64 (*.f64 x y) (*.f64 z z))) (/.f64 (*.f64 z (*.f64 z (*.f64 z z))) (-.f64 (*.f64 x y) (*.f64 z z))))
(fma.f64 z z (*.f64 x y))
(fma.f64 x y (*.f64 z z))
(fma.f64 y x (*.f64 z z))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 (*.f64 z z) (-.f64 (*.f64 z z) (*.f64 x y)))) (+.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x y) (*.f64 z z)) (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 z (*.f64 z (*.f64 z z))))))
(/.f64 (+.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) (+.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 (*.f64 z z) (-.f64 (*.f64 z z) (*.f64 x y)))))
(/.f64 (+.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) (+.f64 (*.f64 z (*.f64 z (*.f64 z z))) (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 x (*.f64 y (*.f64 z z))))))
(/.f64 (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 z (*.f64 z (*.f64 z z)))) (-.f64 (*.f64 x y) (*.f64 z z)))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) (neg.f64 (+.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 (*.f64 z z) (-.f64 (*.f64 z z) (*.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 z (*.f64 z (*.f64 z z))))) (neg.f64 (-.f64 (*.f64 x y) (*.f64 z z))))
(/.f64 (-.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 x (*.f64 y (*.f64 x y)))) (-.f64 (*.f64 z z) (*.f64 x y)))
(*.f64 (+.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 (*.f64 z z) (-.f64 (*.f64 z z) (*.f64 x y))))))
(*.f64 (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) (*.f64 z z))))
(*.f64 x y)
(*.f64 y x)
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))
(pow.f64 z #s(literal 2 binary64))
(*.f64 z z)
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(+.f64 (*.f64 x y) (*.f64 z (*.f64 z #s(literal 3 binary64))))
(+.f64 (*.f64 z (*.f64 z #s(literal 3 binary64))) (*.f64 x y))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) (*.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z #s(literal 3 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z #s(literal 3 binary64)))) (*.f64 #s(literal 1 binary64) (*.f64 x y)))
(+.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64)) (*.f64 (*.f64 z (*.f64 z #s(literal 3 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 z (*.f64 z #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 x y) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) (*.f64 z (*.f64 z #s(literal 3 binary64)))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 9 binary64)) (-.f64 (*.f64 z (*.f64 z #s(literal 3 binary64))) (*.f64 x y))) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (-.f64 (*.f64 z (*.f64 z #s(literal 3 binary64))) (*.f64 x y))))
(-.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (+.f64 (*.f64 x y) (*.f64 #s(literal -3 binary64) (*.f64 z z)))) (/.f64 (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 9 binary64)) (+.f64 (*.f64 x y) (*.f64 #s(literal -3 binary64) (*.f64 z z)))))
(fma.f64 z (*.f64 z #s(literal 3 binary64)) (*.f64 x y))
(fma.f64 x y (*.f64 z (*.f64 z #s(literal 3 binary64))))
(fma.f64 y x (*.f64 z (*.f64 z #s(literal 3 binary64))))
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 x y))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 x y))
(neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x y) (*.f64 z (*.f64 z #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) (*.f64 z (*.f64 z #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 9 binary64)) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (*.f64 #s(literal -3 binary64) (*.f64 z z))))) (+.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) #s(literal 27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 (*.f64 z (*.f64 z #s(literal 3 binary64))) (-.f64 (*.f64 z (*.f64 z #s(literal 3 binary64))) (*.f64 x y)))) (+.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) #s(literal 27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z (*.f64 z #s(literal 3 binary64))) (*.f64 x y)) (-.f64 (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 9 binary64)) (*.f64 x (*.f64 y (*.f64 x y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x y) (*.f64 #s(literal -3 binary64) (*.f64 z z))) (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 9 binary64)))))
(/.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 z #s(literal 3 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x y) (*.f64 z (*.f64 z #s(literal 3 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x y) (*.f64 z (*.f64 z #s(literal 3 binary64))))) #s(literal -1 binary64))
(/.f64 (+.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) #s(literal 27 binary64))) (+.f64 (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 9 binary64)) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (*.f64 #s(literal -3 binary64) (*.f64 z z))))))
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(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) (*.f64 z (*.f64 z #s(literal 3 binary64))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) (*.f64 z (*.f64 z #s(literal 3 binary64))))) #s(literal -1/2 binary64)))
(+.f64 (*.f64 x y) (*.f64 z (*.f64 z #s(literal 3 binary64))))
(+.f64 (*.f64 z (*.f64 z #s(literal 3 binary64))) (*.f64 x y))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) (*.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z #s(literal 3 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z #s(literal 3 binary64)))) (*.f64 #s(literal 1 binary64) (*.f64 x y)))
(+.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64)) (*.f64 (*.f64 z (*.f64 z #s(literal 3 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 z (*.f64 z #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 x y) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) (*.f64 z (*.f64 z #s(literal 3 binary64)))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 9 binary64)) (-.f64 (*.f64 z (*.f64 z #s(literal 3 binary64))) (*.f64 x y))) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (-.f64 (*.f64 z (*.f64 z #s(literal 3 binary64))) (*.f64 x y))))
(-.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (+.f64 (*.f64 x y) (*.f64 #s(literal -3 binary64) (*.f64 z z)))) (/.f64 (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 9 binary64)) (+.f64 (*.f64 x y) (*.f64 #s(literal -3 binary64) (*.f64 z z)))))
(fma.f64 z (*.f64 z #s(literal 3 binary64)) (*.f64 x y))
(fma.f64 x y (*.f64 z (*.f64 z #s(literal 3 binary64))))
(fma.f64 y x (*.f64 z (*.f64 z #s(literal 3 binary64))))
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 x y))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 x y))
(neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x y) (*.f64 z (*.f64 z #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) (*.f64 z (*.f64 z #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 9 binary64)) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (*.f64 #s(literal -3 binary64) (*.f64 z z))))) (+.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) #s(literal 27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 (*.f64 z (*.f64 z #s(literal 3 binary64))) (-.f64 (*.f64 z (*.f64 z #s(literal 3 binary64))) (*.f64 x y)))) (+.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) #s(literal 27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z (*.f64 z #s(literal 3 binary64))) (*.f64 x y)) (-.f64 (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 9 binary64)) (*.f64 x (*.f64 y (*.f64 x y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x y) (*.f64 #s(literal -3 binary64) (*.f64 z z))) (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 9 binary64)))))
(/.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 z #s(literal 3 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x y) (*.f64 z (*.f64 z #s(literal 3 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x y) (*.f64 z (*.f64 z #s(literal 3 binary64))))) #s(literal -1 binary64))
(/.f64 (+.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) #s(literal 27 binary64))) (+.f64 (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 9 binary64)) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (*.f64 #s(literal -3 binary64) (*.f64 z z))))))
(/.f64 (+.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) #s(literal 27 binary64))) (+.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 (*.f64 z (*.f64 z #s(literal 3 binary64))) (-.f64 (*.f64 z (*.f64 z #s(literal 3 binary64))) (*.f64 x y)))))
(/.f64 (+.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) #s(literal 27 binary64))) (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 9 binary64)) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (*.f64 #s(literal -3 binary64) (*.f64 z z)))))))
(/.f64 (+.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) #s(literal 27 binary64))) (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 (*.f64 z (*.f64 z #s(literal 3 binary64))) (-.f64 (*.f64 z (*.f64 z #s(literal 3 binary64))) (*.f64 x y))))))
(/.f64 (-.f64 (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 9 binary64)) (*.f64 x (*.f64 y (*.f64 x y)))) (-.f64 (*.f64 z (*.f64 z #s(literal 3 binary64))) (*.f64 x y)))
(/.f64 (-.f64 (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 9 binary64)) (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (*.f64 z #s(literal 3 binary64))) (*.f64 x y))))
(/.f64 (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 9 binary64))) (+.f64 (*.f64 x y) (*.f64 #s(literal -3 binary64) (*.f64 z z))))
(/.f64 (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 9 binary64))) (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) (*.f64 #s(literal -3 binary64) (*.f64 z z)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) #s(literal 27 binary64)))) (neg.f64 (+.f64 (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 9 binary64)) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (*.f64 #s(literal -3 binary64) (*.f64 z z)))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) #s(literal 27 binary64)))) (neg.f64 (+.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 (*.f64 z (*.f64 z #s(literal 3 binary64))) (-.f64 (*.f64 z (*.f64 z #s(literal 3 binary64))) (*.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 9 binary64)) (*.f64 x (*.f64 y (*.f64 x y))))) (neg.f64 (-.f64 (*.f64 z (*.f64 z #s(literal 3 binary64))) (*.f64 x y))))
(/.f64 (neg.f64 (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 9 binary64)))) (neg.f64 (+.f64 (*.f64 x y) (*.f64 #s(literal -3 binary64) (*.f64 z z)))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) #s(literal 27 binary64)))) (+.f64 (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 9 binary64)) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (*.f64 #s(literal -3 binary64) (*.f64 z z))))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) #s(literal 27 binary64)))) (+.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 (*.f64 z (*.f64 z #s(literal 3 binary64))) (-.f64 (*.f64 z (*.f64 z #s(literal 3 binary64))) (*.f64 x y)))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 9 binary64)) (*.f64 x (*.f64 y (*.f64 x y))))) (-.f64 (*.f64 z (*.f64 z #s(literal 3 binary64))) (*.f64 x y)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 9 binary64)))) (+.f64 (*.f64 x y) (*.f64 #s(literal -3 binary64) (*.f64 z z))))
(pow.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 z #s(literal 3 binary64)))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) (*.f64 z (*.f64 z #s(literal 3 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) (*.f64 z (*.f64 z #s(literal 3 binary64)))))
(*.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 z #s(literal 3 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x y) (*.f64 z (*.f64 z #s(literal 3 binary64))))))
(*.f64 (+.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 9 binary64)) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (*.f64 #s(literal -3 binary64) (*.f64 z z)))))))
(*.f64 (+.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 (*.f64 z (*.f64 z #s(literal 3 binary64))) (-.f64 (*.f64 z (*.f64 z #s(literal 3 binary64))) (*.f64 x y))))))
(*.f64 (-.f64 (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 9 binary64)) (*.f64 x (*.f64 y (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (*.f64 z #s(literal 3 binary64))) (*.f64 x y))))
(*.f64 (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) (*.f64 #s(literal -3 binary64) (*.f64 z z)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) (*.f64 z (*.f64 z #s(literal 3 binary64))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) (*.f64 z (*.f64 z #s(literal 3 binary64))))) #s(literal -1/2 binary64)))
(*.f64 z (*.f64 z #s(literal 3 binary64)))
(*.f64 (*.f64 z z) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(*.f64 (*.f64 z #s(literal 3 binary64)) z)

simplify302.0ms (4%)

Algorithm
1×egg-herbie
Rules
6642×*-lowering-*.f32
6642×*-lowering-*.f64
1760×/-lowering-/.f32
1760×/-lowering-/.f64
1644×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02672533
18952161
227782130
087432130
Stop Event
1×iter limit
1×node limit
Counts
276 → 276
Calls
Call 1
Inputs
(* x y)
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* x y)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* x y)
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(pow z 2)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(* x y)
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (/ (pow z 2) x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(pow z 2)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(* x y)
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (/ (pow z 2) y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* x y)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(pow z 2)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(pow z 2)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* 3 (pow z 2))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* x y)
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x y)
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* 3 (pow z 2))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* x y)
(* y (+ x (* 3 (/ (pow z 2) y))))
(* y (+ x (* 3 (/ (pow z 2) y))))
(* y (+ x (* 3 (/ (pow z 2) y))))
(* x y)
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* x y)
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(/ 1/3 (pow z 2))
(+ (* -1/9 (/ (* x y) (pow z 4))) (* 1/3 (/ 1 (pow z 2))))
(+ (* x (- (* 1/27 (/ (* x (pow y 2)) (pow z 6))) (* 1/9 (/ y (pow z 4))))) (* 1/3 (/ 1 (pow z 2))))
(+ (* x (- (* x (- (* -1/81 (/ (* x (pow y 3)) (pow z 8))) (* -1/27 (/ (pow y 2) (pow z 6))))) (* 1/9 (/ y (pow z 4))))) (* 1/3 (/ 1 (pow z 2))))
(/ 1 (* x y))
(/ (+ (* -3 (/ (pow z 2) (* x (pow y 2)))) (/ 1 y)) x)
(/ (- (+ (* 9 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (/ 1 y)) (* 3 (/ (pow z 2) (* x (pow y 2))))) x)
(/ (- (+ (* -27 (/ (pow z 6) (* (pow x 3) (pow y 4)))) (/ 1 y)) (+ (* -9 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 3 (/ (pow z 2) (* x (pow y 2)))))) x)
(/ 1 (* x y))
(* -1 (/ (- (* 3 (/ (pow z 2) (* x (pow y 2)))) (/ 1 y)) x))
(* -1 (/ (- (* -1 (/ (- (* 9 (/ (pow z 4) (* x (pow y 3)))) (* 3 (/ (pow z 2) (pow y 2)))) x)) (/ 1 y)) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27 (/ (pow z 6) (* x (pow y 4)))) (* 9 (/ (pow z 4) (pow y 3)))) x)) (* 3 (/ (pow z 2) (pow y 2)))) x)) (/ 1 y)) x))
(/ 1/3 (pow z 2))
(+ (* -1/9 (/ (* x y) (pow z 4))) (* 1/3 (/ 1 (pow z 2))))
(+ (* y (- (* 1/27 (/ (* (pow x 2) y) (pow z 6))) (* 1/9 (/ x (pow z 4))))) (* 1/3 (/ 1 (pow z 2))))
(+ (* y (- (* y (- (* -1/81 (/ (* (pow x 3) y) (pow z 8))) (* -1/27 (/ (pow x 2) (pow z 6))))) (* 1/9 (/ x (pow z 4))))) (* 1/3 (/ 1 (pow z 2))))
(/ 1 (* x y))
(/ (+ (* -3 (/ (pow z 2) (* (pow x 2) y))) (/ 1 x)) y)
(/ (- (+ (* 9 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (/ 1 x)) (* 3 (/ (pow z 2) (* (pow x 2) y)))) y)
(/ (- (+ (* -27 (/ (pow z 6) (* (pow x 4) (pow y 3)))) (/ 1 x)) (+ (* -9 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 3 (/ (pow z 2) (* (pow x 2) y))))) y)
(/ 1 (* x y))
(* -1 (/ (- (* 3 (/ (pow z 2) (* (pow x 2) y))) (/ 1 x)) y))
(* -1 (/ (- (* -1 (/ (- (* 9 (/ (pow z 4) (* (pow x 3) y))) (* 3 (/ (pow z 2) (pow x 2)))) y)) (/ 1 x)) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27 (/ (pow z 6) (* (pow x 4) y))) (* 9 (/ (pow z 4) (pow x 3)))) y)) (* 3 (/ (pow z 2) (pow x 2)))) y)) (/ 1 x)) y))
(/ 1 (* x y))
(+ (* -3 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* 9 (/ (pow z 2) (* (pow x 3) (pow y 3)))) (* 3 (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -27 (/ (pow z 2) (* (pow x 4) (pow y 4)))) (* 9 (/ 1 (* (pow x 3) (pow y 3)))))) (* 3 (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (* x y)))
(/ 1/3 (pow z 2))
(/ (+ 1/3 (* -1/9 (/ (* x y) (pow z 2)))) (pow z 2))
(/ (- (+ 1/3 (* 1/27 (/ (* (pow x 2) (pow y 2)) (pow z 4)))) (* 1/9 (/ (* x y) (pow z 2)))) (pow z 2))
(/ (- (+ 1/3 (* -1/81 (/ (* (pow x 3) (pow y 3)) (pow z 6)))) (+ (* -1/27 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (* 1/9 (/ (* x y) (pow z 2))))) (pow z 2))
(/ 1/3 (pow z 2))
(/ (+ 1/3 (* -1/9 (/ (* x y) (pow z 2)))) (pow z 2))
(/ (- (+ 1/3 (* 1/27 (/ (* (pow x 2) (pow y 2)) (pow z 4)))) (* 1/9 (/ (* x y) (pow z 2)))) (pow z 2))
(/ (- (+ 1/3 (* -1/81 (/ (* (pow x 3) (pow y 3)) (pow z 6)))) (+ (* -1/27 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (* 1/9 (/ (* x y) (pow z 2))))) (pow z 2))
(* 3 (pow z 2))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* x y)
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x y)
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* 3 (pow z 2))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* x y)
(* y (+ x (* 3 (/ (pow z 2) y))))
(* y (+ x (* 3 (/ (pow z 2) y))))
(* y (+ x (* 3 (/ (pow z 2) y))))
(* x y)
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* x y)
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* x y)
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* x y)
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x y)
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* 3 (pow z 2))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* x y)
(* y (+ x (* 3 (/ (pow z 2) y))))
(* y (+ x (* 3 (/ (pow z 2) y))))
(* y (+ x (* 3 (/ (pow z 2) y))))
(* x y)
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
Outputs
(* x y)
(*.f64 x y)
(+ (* 3 (pow z 2)) (* x y))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(+ (* 3 (pow z 2)) (* x y))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(+ (* 3 (pow z 2)) (* x y))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(*.f64 (*.f64 z z) (+.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) (*.f64 z z))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(*.f64 (*.f64 z z) (+.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) (*.f64 z z))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(*.f64 (*.f64 z z) (+.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) (*.f64 z z))))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(*.f64 (*.f64 z z) (+.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) (*.f64 z z))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(*.f64 (*.f64 z z) (+.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) (*.f64 z z))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(*.f64 (*.f64 z z) (+.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) (*.f64 z z))))
(+ (* 2 (pow z 2)) (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* x y)
(*.f64 x y)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(*.f64 x (+.f64 y (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(*.f64 x (+.f64 y (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(*.f64 x (+.f64 y (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x))))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(*.f64 x (+.f64 y (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(*.f64 x (+.f64 y (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(*.f64 x (+.f64 y (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x))))
(+ (* 2 (pow z 2)) (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* x y)
(*.f64 x y)
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(*.f64 y (+.f64 x (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 z z)) y)))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(*.f64 y (+.f64 x (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 z z)) y)))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(*.f64 y (+.f64 x (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 z z)) y)))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(*.f64 y (+.f64 x (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 z z)) y)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(*.f64 y (+.f64 x (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 z z)) y)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(*.f64 y (+.f64 x (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 z z)) y)))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(pow z 2)
(*.f64 z z)
(+ (* x y) (pow z 2))
(+.f64 (*.f64 x y) (*.f64 z z))
(+ (* x y) (pow z 2))
(+.f64 (*.f64 x y) (*.f64 z z))
(+ (* x y) (pow z 2))
(+.f64 (*.f64 x y) (*.f64 z z))
(* x y)
(*.f64 x y)
(* x (+ y (/ (pow z 2) x)))
(*.f64 x (+.f64 y (/.f64 (*.f64 z z) x)))
(* x (+ y (/ (pow z 2) x)))
(*.f64 x (+.f64 y (/.f64 (*.f64 z z) x)))
(* x (+ y (/ (pow z 2) x)))
(*.f64 x (+.f64 y (/.f64 (*.f64 z z) x)))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(*.f64 x (+.f64 y (/.f64 (*.f64 z z) x)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(*.f64 x (+.f64 y (/.f64 (*.f64 z z) x)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(*.f64 x (+.f64 y (/.f64 (*.f64 z z) x)))
(pow z 2)
(*.f64 z z)
(+ (* x y) (pow z 2))
(+.f64 (*.f64 x y) (*.f64 z z))
(+ (* x y) (pow z 2))
(+.f64 (*.f64 x y) (*.f64 z z))
(+ (* x y) (pow z 2))
(+.f64 (*.f64 x y) (*.f64 z z))
(* x y)
(*.f64 x y)
(* y (+ x (/ (pow z 2) y)))
(*.f64 y (+.f64 x (/.f64 (*.f64 z z) y)))
(* y (+ x (/ (pow z 2) y)))
(*.f64 y (+.f64 x (/.f64 (*.f64 z z) y)))
(* y (+ x (/ (pow z 2) y)))
(*.f64 y (+.f64 x (/.f64 (*.f64 z z) y)))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(*.f64 y (+.f64 x (/.f64 (*.f64 z z) y)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(*.f64 y (+.f64 x (/.f64 (*.f64 z z) y)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(*.f64 y (+.f64 x (/.f64 (*.f64 z z) y)))
(* x y)
(*.f64 x y)
(+ (* x y) (pow z 2))
(+.f64 (*.f64 x y) (*.f64 z z))
(+ (* x y) (pow z 2))
(+.f64 (*.f64 x y) (*.f64 z z))
(+ (* x y) (pow z 2))
(+.f64 (*.f64 x y) (*.f64 z z))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(*.f64 (*.f64 z z) (+.f64 (/.f64 (*.f64 x y) (*.f64 z z)) #s(literal 1 binary64)))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(*.f64 (*.f64 z z) (+.f64 (/.f64 (*.f64 x y) (*.f64 z z)) #s(literal 1 binary64)))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(*.f64 (*.f64 z z) (+.f64 (/.f64 (*.f64 x y) (*.f64 z z)) #s(literal 1 binary64)))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(*.f64 (*.f64 z z) (+.f64 (/.f64 (*.f64 x y) (*.f64 z z)) #s(literal 1 binary64)))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(*.f64 (*.f64 z z) (+.f64 (/.f64 (*.f64 x y) (*.f64 z z)) #s(literal 1 binary64)))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(*.f64 (*.f64 z z) (+.f64 (/.f64 (*.f64 x y) (*.f64 z z)) #s(literal 1 binary64)))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(+ (* 3 (pow z 2)) (* x y))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(+ (* 3 (pow z 2)) (* x y))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(+ (* 3 (pow z 2)) (* x y))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* x y)
(*.f64 x y)
(* x (+ y (* 3 (/ (pow z 2) x))))
(*.f64 x (+.f64 y (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x))))
(* x (+ y (* 3 (/ (pow z 2) x))))
(*.f64 x (+.f64 y (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x))))
(* x (+ y (* 3 (/ (pow z 2) x))))
(*.f64 x (+.f64 y (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x))))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(*.f64 x (+.f64 y (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x))))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(*.f64 x (+.f64 y (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x))))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(*.f64 x (+.f64 y (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x))))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(+ (* 3 (pow z 2)) (* x y))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(+ (* 3 (pow z 2)) (* x y))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(+ (* 3 (pow z 2)) (* x y))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* x y)
(*.f64 x y)
(* y (+ x (* 3 (/ (pow z 2) y))))
(*.f64 y (+.f64 x (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 z z)) y)))
(* y (+ x (* 3 (/ (pow z 2) y))))
(*.f64 y (+.f64 x (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 z z)) y)))
(* y (+ x (* 3 (/ (pow z 2) y))))
(*.f64 y (+.f64 x (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 z z)) y)))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(*.f64 y (+.f64 x (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 z z)) y)))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(*.f64 y (+.f64 x (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 z z)) y)))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(*.f64 y (+.f64 x (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 z z)) y)))
(* x y)
(*.f64 x y)
(+ (* 3 (pow z 2)) (* x y))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(+ (* 3 (pow z 2)) (* x y))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(+ (* 3 (pow z 2)) (* x y))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(*.f64 (*.f64 z z) (+.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) (*.f64 z z))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(*.f64 (*.f64 z z) (+.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) (*.f64 z z))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(*.f64 (*.f64 z z) (+.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) (*.f64 z z))))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(*.f64 (*.f64 z z) (+.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) (*.f64 z z))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(*.f64 (*.f64 z z) (+.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) (*.f64 z z))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(*.f64 (*.f64 z z) (+.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) (*.f64 z z))))
(/ 1/3 (pow z 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 z z))
(+ (* -1/9 (/ (* x y) (pow z 4))) (* 1/3 (/ 1 (pow z 2))))
(+.f64 (/.f64 (*.f64 x (*.f64 y #s(literal -1/9 binary64))) (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1/3 binary64) (*.f64 z z)))
(+ (* x (- (* 1/27 (/ (* x (pow y 2)) (pow z 6))) (* 1/9 (/ y (pow z 4))))) (* 1/3 (/ 1 (pow z 2))))
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 z z)) (*.f64 x (+.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/27 binary64) (*.f64 y y))) (pow.f64 z #s(literal 6 binary64))) (/.f64 (*.f64 y #s(literal -1/9 binary64)) (*.f64 z (*.f64 z (*.f64 z z)))))))
(+ (* x (- (* x (- (* -1/81 (/ (* x (pow y 3)) (pow z 8))) (* -1/27 (/ (pow y 2) (pow z 6))))) (* 1/9 (/ y (pow z 4))))) (* 1/3 (/ 1 (pow z 2))))
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eval87.0ms (1.2%)

Compiler

Compiled 11816 to 667 computations (94.4% saved)

prune47.0ms (0.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New7075712
Fresh123
Picked325
Done000
Total7119720
Accuracy
100.0%
Counts
720 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.2%
(fma.f64 z (+.f64 z z) (*.f64 z z))
▶32.0%
(/.f64 (-.f64 (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 9 binary64))) (*.f64 x (*.f64 y (*.f64 x y)))) (-.f64 (*.f64 (*.f64 z z) #s(literal 3 binary64)) (*.f64 x y)))
▶54.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 z z)))
▶98.7%
(+.f64 (*.f64 z (*.f64 z #s(literal 3 binary64))) (*.f64 x y))
✓79.9%
(+.f64 (*.f64 x y) (*.f64 z z))
76.6%
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) (*.f64 z (*.f64 z #s(literal 3 binary64))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) (*.f64 z (*.f64 z #s(literal 3 binary64))))) #s(literal -1/2 binary64)))
▶35.6%
(*.f64 z z)
✓53.0%
(*.f64 x y)
▶54.1%
(*.f64 #s(literal 3 binary64) (*.f64 z z))
Compiler

Compiled 230 to 130 computations (43.5% saved)

simplify230.0ms (3.1%)

Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 z z)
✓cost-diff0
(*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 9 binary64)))
✓cost-diff0
(-.f64 (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 9 binary64))) (*.f64 x (*.f64 y (*.f64 x y))))
✓cost-diff0
(/.f64 (-.f64 (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 9 binary64))) (*.f64 x (*.f64 y (*.f64 x y)))) (-.f64 (*.f64 (*.f64 z z) #s(literal 3 binary64)) (*.f64 x y)))
✓cost-diff0
(*.f64 z z)
✓cost-diff0
(/.f64 #s(literal 1/3 binary64) (*.f64 z z))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 z z)))
✓cost-diff0
(*.f64 z z)
✓cost-diff0
(*.f64 #s(literal 3 binary64) (*.f64 z z))
✓cost-diff0
(*.f64 z z)
✓cost-diff0
(*.f64 x y)
✓cost-diff0
(*.f64 z #s(literal 3 binary64))
✓cost-diff0
(*.f64 z (*.f64 z #s(literal 3 binary64)))
✓cost-diff0
(+.f64 (*.f64 z (*.f64 z #s(literal 3 binary64))) (*.f64 x y))
Rules
2440×*-lowering-*.f32
2440×*-lowering-*.f64
1890×fnmadd-define
1590×fma-define
1312×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
023126
165110
2161109
3372109
4779109
51637109
64925109
08015109
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* z (* z 3)) (* x y))
(* z (* z 3))
z
(* z 3)
3
(* x y)
x
y
(* z z)
z
(* 3 (* z z))
3
(* z z)
z
(/ 1 (/ 1/3 (* z z)))
1
(/ 1/3 (* z z))
1/3
(* z z)
z
(/ (- (* (* z z) (* (* z z) 9)) (* x (* y (* x y)))) (- (* (* z z) 3) (* x y)))
(- (* (* z z) (* (* z z) 9)) (* x (* y (* x y))))
(* (* z z) (* (* z z) 9))
(* z z)
z
(* (* z z) 9)
9
(* x (* y (* x y)))
x
(* y (* x y))
y
(* x y)
(- (* (* z z) 3) (* x y))
(* (* z z) 3)
3
Outputs
(+ (* z (* z 3)) (* x y))
(+.f64 (*.f64 x y) (/.f64 (*.f64 z z) #s(literal 1/3 binary64)))
(* z (* z 3))
(/.f64 (*.f64 z z) #s(literal 1/3 binary64))
z
(* z 3)
(/.f64 z #s(literal 1/3 binary64))
3
#s(literal 3 binary64)
(* x y)
(*.f64 x y)
x
y
(* z z)
(*.f64 z z)
z
(* 3 (* z z))
(/.f64 (*.f64 z z) #s(literal 1/3 binary64))
3
#s(literal 3 binary64)
(* z z)
(*.f64 z z)
z
(/ 1 (/ 1/3 (* z z)))
(/.f64 (*.f64 z z) #s(literal 1/3 binary64))
1
#s(literal 1 binary64)
(/ 1/3 (* z z))
(/.f64 #s(literal 1/3 binary64) (*.f64 z z))
1/3
#s(literal 1/3 binary64)
(* z z)
(*.f64 z z)
z
(/ (- (* (* z z) (* (* z z) 9)) (* x (* y (* x y)))) (- (* (* z z) 3) (* x y)))
(/.f64 (-.f64 (*.f64 z (*.f64 z (*.f64 (*.f64 z z) #s(literal 9 binary64)))) (*.f64 x (*.f64 x (*.f64 y y)))) (-.f64 (/.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)))
(- (* (* z z) (* (* z z) 9)) (* x (* y (* x y))))
(-.f64 (*.f64 z (*.f64 z (*.f64 (*.f64 z z) #s(literal 9 binary64)))) (*.f64 x (*.f64 x (*.f64 y y))))
(* (* z z) (* (* z z) 9))
(*.f64 z (*.f64 z (*.f64 (*.f64 z z) #s(literal 9 binary64))))
(* z z)
(*.f64 z z)
z
(* (* z z) 9)
(*.f64 (*.f64 z z) #s(literal 9 binary64))
9
#s(literal 9 binary64)
(* x (* y (* x y)))
(*.f64 x (*.f64 x (*.f64 y y)))
x
(* y (* x y))
(*.f64 x (*.f64 y y))
y
(* x y)
(*.f64 x y)
(- (* (* z z) 3) (* x y))
(-.f64 (/.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))
(* (* z z) 3)
(/.f64 (*.f64 z z) #s(literal 1/3 binary64))
3
#s(literal 3 binary64)

localize158.0ms (2.1%)

Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy98.7%
(-.f64 (*.f64 (*.f64 z z) #s(literal 3 binary64)) (*.f64 x y))
✓accuracy96.3%
(*.f64 x (*.f64 y (*.f64 x y)))
✓accuracy89.8%
(-.f64 (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 9 binary64))) (*.f64 x (*.f64 y (*.f64 x y))))
✓accuracy40.8%
(/.f64 (-.f64 (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 9 binary64))) (*.f64 x (*.f64 y (*.f64 x y)))) (-.f64 (*.f64 (*.f64 z z) #s(literal 3 binary64)) (*.f64 x y)))
✓accuracy100.0%
(*.f64 z z)
✓accuracy99.4%
(/.f64 #s(literal 1/3 binary64) (*.f64 z z))
✓accuracy99.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 z z)))
✓accuracy100.0%
(*.f64 z z)
✓accuracy99.8%
(*.f64 #s(literal 3 binary64) (*.f64 z z))
✓accuracy100.0%
(*.f64 z z)
✓accuracy100.0%
(*.f64 z #s(literal 3 binary64))
✓accuracy100.0%
(*.f64 x y)
✓accuracy99.8%
(*.f64 z (*.f64 z #s(literal 3 binary64)))
✓accuracy98.8%
(+.f64 (*.f64 z (*.f64 z #s(literal 3 binary64))) (*.f64 x y))
Results
118.0ms256×0valid
Compiler

Compiled 155 to 24 computations (84.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-mult: 35.0ms (56.2% of total)
ival-div: 19.0ms (30.5% of total)
...c/correct-round.rkt:119:19: 4.0ms (6.4% of total)
ival-sub: 2.0ms (3.2% of total)
ival-add: 1.0ms (1.6% of total)
const: 1.0ms (1.6% of total)
backward-pass: 0.0ms (0% of total)

series37.0ms (0.5%)

Counts
13 → 276
Calls
Call 1
Inputs
#<alt (+ (* z (* z 3)) (* x y))>
#<alt (* z (* z 3))>
#<alt (* z 3)>
#<alt (* x y)>
#<alt (* z z)>
#<alt (* 3 (* z z))>
#<alt (/ 1 (/ 1/3 (* z z)))>
#<alt (/ 1/3 (* z z))>
#<alt (/ (- (* (* z z) (* (* z z) 9)) (* x (* y (* x y)))) (- (* (* z z) 3) (* x y)))>
#<alt (- (* (* z z) (* (* z z) 9)) (* x (* y (* x y))))>
#<alt (* (* z z) (* (* z z) 9))>
#<alt (* x (* y (* x y)))>
#<alt (- (* (* z z) 3) (* x y))>
Outputs
#<alt (* x y)>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 3 (pow z 2))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* 3 (/ (pow z 2) x))))>
#<alt (* x (+ y (* 3 (/ (pow z 2) x))))>
#<alt (* x (+ y (* 3 (/ (pow z 2) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* 3 (pow z 2))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* 3 (/ (pow z 2) y))))>
#<alt (* y (+ x (* 3 (/ (pow z 2) y))))>
#<alt (* y (+ x (* 3 (/ (pow z 2) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (/ 1/3 (pow z 2))>
#<alt (/ 1/3 (pow z 2))>
#<alt (/ 1/3 (pow z 2))>
#<alt (/ 1/3 (pow z 2))>
#<alt (/ 1/3 (pow z 2))>
#<alt (/ 1/3 (pow z 2))>
#<alt (/ 1/3 (pow z 2))>
#<alt (/ 1/3 (pow z 2))>
#<alt (/ 1/3 (pow z 2))>
#<alt (/ 1/3 (pow z 2))>
#<alt (/ 1/3 (pow z 2))>
#<alt (/ 1/3 (pow z 2))>
#<alt (* x y)>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 3 (pow z 2))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* 3 (/ (pow z 2) x))))>
#<alt (* x (+ y (* 3 (/ (pow z 2) x))))>
#<alt (* x (+ y (* 3 (/ (pow z 2) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* 3 (pow z 2))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* 3 (/ (pow z 2) y))))>
#<alt (* y (+ x (* 3 (/ (pow z 2) y))))>
#<alt (* y (+ x (* 3 (/ (pow z 2) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (- (* 9 (pow z 4)) (* (pow x 2) (pow y 2)))>
#<alt (- (* 9 (pow z 4)) (* (pow x 2) (pow y 2)))>
#<alt (- (* 9 (pow z 4)) (* (pow x 2) (pow y 2)))>
#<alt (* 9 (pow z 4))>
#<alt (* (pow z 4) (+ 9 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4)))))>
#<alt (* (pow z 4) (+ 9 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4)))))>
#<alt (* (pow z 4) (+ 9 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4)))))>
#<alt (* 9 (pow z 4))>
#<alt (* (pow z 4) (+ 9 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4)))))>
#<alt (* (pow z 4) (+ 9 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4)))))>
#<alt (* (pow z 4) (+ 9 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4)))))>
#<alt (* 9 (pow z 4))>
#<alt (+ (* -1 (* (pow x 2) (pow y 2))) (* 9 (pow z 4)))>
#<alt (+ (* -1 (* (pow x 2) (pow y 2))) (* 9 (pow z 4)))>
#<alt (+ (* -1 (* (pow x 2) (pow y 2))) (* 9 (pow z 4)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (- (* 9 (/ (pow z 4) (pow x 2))) (pow y 2)))>
#<alt (* (pow x 2) (- (* 9 (/ (pow z 4) (pow x 2))) (pow y 2)))>
#<alt (* (pow x 2) (- (* 9 (/ (pow z 4) (pow x 2))) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (- (* 9 (/ (pow z 4) (pow x 2))) (pow y 2)))>
#<alt (* (pow x 2) (- (* 9 (/ (pow z 4) (pow x 2))) (pow y 2)))>
#<alt (* (pow x 2) (- (* 9 (/ (pow z 4) (pow x 2))) (pow y 2)))>
#<alt (* 9 (pow z 4))>
#<alt (+ (* -1 (* (pow x 2) (pow y 2))) (* 9 (pow z 4)))>
#<alt (+ (* -1 (* (pow x 2) (pow y 2))) (* 9 (pow z 4)))>
#<alt (+ (* -1 (* (pow x 2) (pow y 2))) (* 9 (pow z 4)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* (pow y 2) (- (* 9 (/ (pow z 4) (pow y 2))) (pow x 2)))>
#<alt (* (pow y 2) (- (* 9 (/ (pow z 4) (pow y 2))) (pow x 2)))>
#<alt (* (pow y 2) (- (* 9 (/ (pow z 4) (pow y 2))) (pow x 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* (pow y 2) (- (* 9 (/ (pow z 4) (pow y 2))) (pow x 2)))>
#<alt (* (pow y 2) (- (* 9 (/ (pow z 4) (pow y 2))) (pow x 2)))>
#<alt (* (pow y 2) (- (* 9 (/ (pow z 4) (pow y 2))) (pow x 2)))>
#<alt (* 9 (pow z 4))>
#<alt (* 9 (pow z 4))>
#<alt (* 9 (pow z 4))>
#<alt (* 9 (pow z 4))>
#<alt (* 9 (pow z 4))>
#<alt (* 9 (pow z 4))>
#<alt (* 9 (pow z 4))>
#<alt (* 9 (pow z 4))>
#<alt (* 9 (pow z 4))>
#<alt (* 9 (pow z 4))>
#<alt (* 9 (pow z 4))>
#<alt (* 9 (pow z 4))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* -1 (* x y))>
#<alt (- (* 3 (pow z 2)) (* x y))>
#<alt (- (* 3 (pow z 2)) (* x y))>
#<alt (- (* 3 (pow z 2)) (* x y))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (* -1 (/ (* x y) (pow z 2)))))>
#<alt (* (pow z 2) (+ 3 (* -1 (/ (* x y) (pow z 2)))))>
#<alt (* (pow z 2) (+ 3 (* -1 (/ (* x y) (pow z 2)))))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (* -1 (/ (* x y) (pow z 2)))))>
#<alt (* (pow z 2) (+ 3 (* -1 (/ (* x y) (pow z 2)))))>
#<alt (* (pow z 2) (+ 3 (* -1 (/ (* x y) (pow z 2)))))>
#<alt (* 3 (pow z 2))>
#<alt (+ (* -1 (* x y)) (* 3 (pow z 2)))>
#<alt (+ (* -1 (* x y)) (* 3 (pow z 2)))>
#<alt (+ (* -1 (* x y)) (* 3 (pow z 2)))>
#<alt (* -1 (* x y))>
#<alt (* x (- (* 3 (/ (pow z 2) x)) y))>
#<alt (* x (- (* 3 (/ (pow z 2) x)) y))>
#<alt (* x (- (* 3 (/ (pow z 2) x)) y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (- (* -3 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -3 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -3 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* 3 (pow z 2))>
#<alt (+ (* -1 (* x y)) (* 3 (pow z 2)))>
#<alt (+ (* -1 (* x y)) (* 3 (pow z 2)))>
#<alt (+ (* -1 (* x y)) (* 3 (pow z 2)))>
#<alt (* -1 (* x y))>
#<alt (* y (- (* 3 (/ (pow z 2) y)) x))>
#<alt (* y (- (* 3 (/ (pow z 2) y)) x))>
#<alt (* y (- (* 3 (/ (pow z 2) y)) x))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (- (* -3 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -3 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -3 (/ (pow z 2) y)) (* -1 x))))>
Calls

69 calls:

TimeVariablePointExpression
1.0ms
z
@0
(/ (- (* (* z z) (* (* z z) 9)) (* x (* y (* x y)))) (- (* (* z z) 3) (* x y)))
1.0ms
x
@0
(/ (- (* (* z z) (* (* z z) 9)) (* x (* y (* x y)))) (- (* (* z z) 3) (* x y)))
1.0ms
y
@0
(/ (- (* (* z z) (* (* z z) 9)) (* x (* y (* x y)))) (- (* (* z z) 3) (* x y)))
1.0ms
z
@inf
(/ (- (* (* z z) (* (* z z) 9)) (* x (* y (* x y)))) (- (* (* z z) 3) (* x y)))
1.0ms
x
@inf
(/ (- (* (* z z) (* (* z z) 9)) (* x (* y (* x y)))) (- (* (* z z) 3) (* x y)))

rewrite449.0ms (6%)

Algorithm
1×batch-egg-rewrite
Rules
3984×/-lowering-/.f32
3984×/-lowering-/.f64
3906×*-lowering-*.f32
3906×*-lowering-*.f64
1750×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02375
114463
2108263
0849563
Stop Event
1×iter limit
1×node limit
Counts
13 → 785
Calls
Call 1
Inputs
(+ (* z (* z 3)) (* x y))
(* z (* z 3))
(* z 3)
(* x y)
(* z z)
(* 3 (* z z))
(/ 1 (/ 1/3 (* z z)))
(/ 1/3 (* z z))
(/ (- (* (* z z) (* (* z z) 9)) (* x (* y (* x y)))) (- (* (* z z) 3) (* x y)))
(- (* (* z z) (* (* z z) 9)) (* x (* y (* x y))))
(* (* z z) (* (* z z) 9))
(* x (* y (* x y)))
(- (* (* z z) 3) (* x y))
Outputs
(+.f64 (*.f64 x y) (/.f64 z (/.f64 #s(literal 1/3 binary64) z)))
(+.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y))
(+.f64 (/.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z #s(literal 9 binary64)))) (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y))) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) (/.f64 z (/.f64 #s(literal 1/3 binary64) z))))) #s(literal -1 binary64)))
(-.f64 (*.f64 x y) (-.f64 #s(literal 0 binary64) (/.f64 z (/.f64 #s(literal 1/3 binary64) z))))
(-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x y) (/.f64 z (/.f64 #s(literal 1/3 binary64) z)))))
(-.f64 (/.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z #s(literal 9 binary64)))) (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y))) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y))))
(-.f64 (/.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z #s(literal 9 binary64)))) (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y))) (/.f64 (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 x (*.f64 y (*.f64 x y))))) (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 z (/.f64 #s(literal 1/3 binary64) z))) (*.f64 x y))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x y) (/.f64 z (/.f64 #s(literal 1/3 binary64) z)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z))) #s(literal 729 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (*.f64 z z) (*.f64 z z))) #s(literal 81 binary64)) (*.f64 (*.f64 x (*.f64 y (*.f64 x y))) (+.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z #s(literal 9 binary64)))) (*.f64 x (*.f64 y (*.f64 x y))))))) (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y))) (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 x (*.f64 (*.f64 y (*.f64 x y)) (*.f64 x (*.f64 y (*.f64 x y)))))) (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (*.f64 z z) (*.f64 z z))) #s(literal 81 binary64)) (*.f64 (*.f64 x (*.f64 y (*.f64 x y))) (+.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z #s(literal 9 binary64)))) (*.f64 x (*.f64 y (*.f64 x y))))))) (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (*.f64 z z) (*.f64 z z))) #s(literal 81 binary64)) (+.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z #s(literal 9 binary64)))) (*.f64 x (*.f64 y (*.f64 x y))))) (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y))) (/.f64 (/.f64 (*.f64 x (*.f64 (*.f64 y (*.f64 x y)) (*.f64 x (*.f64 y (*.f64 x y))))) (+.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z #s(literal 9 binary64)))) (*.f64 x (*.f64 y (*.f64 x y))))) (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z))) #s(literal 729 binary64))) (*.f64 (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y)) (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (*.f64 z z) (*.f64 z z))) #s(literal 81 binary64)) (*.f64 (*.f64 x (*.f64 y (*.f64 x y))) (+.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z #s(literal 9 binary64)))) (*.f64 x (*.f64 y (*.f64 x y)))))))) (/.f64 (*.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 x (*.f64 (*.f64 y (*.f64 x y)) (*.f64 x (*.f64 y (*.f64 x y)))))) (*.f64 (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y)) (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (*.f64 z z) (*.f64 z z))) #s(literal 81 binary64)) (*.f64 (*.f64 x (*.f64 y (*.f64 x y))) (+.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z #s(literal 9 binary64)))) (*.f64 x (*.f64 y (*.f64 x y)))))))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (*.f64 z z) (*.f64 z z))) #s(literal 81 binary64)) (*.f64 (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y)) (+.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z #s(literal 9 binary64)))) (*.f64 x (*.f64 y (*.f64 x y)))))) (/.f64 (*.f64 x (*.f64 (*.f64 y (*.f64 x y)) (*.f64 x (*.f64 y (*.f64 x y))))) (*.f64 (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y)) (+.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z #s(literal 9 binary64)))) (*.f64 x (*.f64 y (*.f64 x y)))))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z #s(literal 9 binary64)))) (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y))) (*.f64 (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y)) (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y)))) (/.f64 (*.f64 (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y)) (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y)) (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z))) #s(literal 729 binary64))) (*.f64 (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y)) (*.f64 (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y)) (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y))))) (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z #s(literal 9 binary64)))) (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y))) (/.f64 (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y)) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z #s(literal 9 binary64)))))) (+.f64 (/.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y))) (/.f64 (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y)) (*.f64 x (*.f64 y (*.f64 x y))))) (/.f64 (/.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z #s(literal 9 binary64)))) (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y))) (/.f64 (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y)) (*.f64 x (*.f64 y (*.f64 x y)))))))) (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 x (*.f64 (*.f64 y (*.f64 x y)) (*.f64 x (*.f64 y (*.f64 x y)))))) (*.f64 (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y)) (*.f64 (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y)) (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y))))) (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z #s(literal 9 binary64)))) (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y))) (/.f64 (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y)) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z #s(literal 9 binary64)))))) (+.f64 (/.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y))) (/.f64 (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y)) (*.f64 x (*.f64 y (*.f64 x y))))) (/.f64 (/.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z #s(literal 9 binary64)))) (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y))) (/.f64 (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y)) (*.f64 x (*.f64 y (*.f64 x y)))))))))
(-.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (-.f64 (*.f64 x y) (/.f64 z (/.f64 #s(literal 1/3 binary64) z)))) (/.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z #s(literal 9 binary64)))) (-.f64 (*.f64 x y) (/.f64 z (/.f64 #s(literal 1/3 binary64) z)))))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z #s(literal 9 binary64)))) (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y))) (/.f64 (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y)) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z #s(literal 9 binary64)))))) (+.f64 (/.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z #s(literal 9 binary64)))) (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y))) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y))))) (/.f64 (/.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y))) (/.f64 (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y)) (*.f64 x (*.f64 y (*.f64 x y))))) (+.f64 (/.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z #s(literal 9 binary64)))) (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y))) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y))))))
(fma.f64 z (/.f64 z #s(literal 1/3 binary64)) (*.f64 x y))
(fma.f64 z (/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal 9 binary64)))) (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y))) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y)))))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 x y))
(fma.f64 (/.f64 z #s(literal 1/3 binary64)) z (*.f64 x y))
(fma.f64 x y (/.f64 z (/.f64 #s(literal 1/3 binary64) z)))
(fma.f64 y x (/.f64 z (/.f64 #s(literal 1/3 binary64) z)))
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 x y))
(fma.f64 (*.f64 z z) (/.f64 (*.f64 z (*.f64 z #s(literal 9 binary64))) (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y))) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y)))))
(fma.f64 #s(literal 1 binary64) (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y))
(fma.f64 (*.f64 z (*.f64 z #s(literal 9 binary64))) (/.f64 (*.f64 z z) (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y))) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y)))))
(fma.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y))) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y)))))
(fma.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) #s(literal 1 binary64) (*.f64 x y))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z (/.f64 #s(literal 1/3 binary64) z))) (*.f64 x y))
(fma.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (/.f64 #s(literal 9 binary64) (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y))) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y)))))
(fma.f64 #s(literal -3 binary64) (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 x y))
(fma.f64 (pow.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) #s(literal 1/2 binary64)) (*.f64 x y))
(fma.f64 (/.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z #s(literal 9 binary64)))) (-.f64 (/.f64 (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z))) #s(literal 1/27 binary64)) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))))) (+.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z #s(literal 9 binary64)))) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (/.f64 z (/.f64 #s(literal 1/3 binary64) z))))) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y)))))
(fma.f64 (/.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z #s(literal 9 binary64)))) (-.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z #s(literal 9 binary64)))) (*.f64 x (*.f64 y (*.f64 x y))))) (+.f64 (*.f64 x y) (/.f64 z (/.f64 #s(literal 1/3 binary64) z))) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y)))))
(neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x y) (/.f64 z (/.f64 #s(literal 1/3 binary64) z)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) (/.f64 z (/.f64 #s(literal 1/3 binary64) z)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) (/.f64 z (/.f64 #s(literal 1/3 binary64) z)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x (*.f64 y (*.f64 x y))) (/.f64 (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y)) (/.f64 #s(literal 1/3 binary64) (*.f64 z z)))) (+.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (/.f64 (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z))) #s(literal 1/27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y)) (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (*.f64 z z) (*.f64 z z))) #s(literal 81 binary64)) (*.f64 (*.f64 x (*.f64 y (*.f64 x y))) (+.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z #s(literal 9 binary64)))) (*.f64 x (*.f64 y (*.f64 x y))))))) (-.f64 (*.f64 (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z))) #s(literal 729 binary64))) (*.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 x (*.f64 (*.f64 y (*.f64 x y)) (*.f64 x (*.f64 y (*.f64 x y)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y)) (+.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z #s(literal 9 binary64)))) (*.f64 x (*.f64 y (*.f64 x y))))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (*.f64 z z) (*.f64 z z))) #s(literal 81 binary64)) (*.f64 x (*.f64 (*.f64 y (*.f64 x y)) (*.f64 x (*.f64 y (*.f64 x y))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y)) (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y))) (-.f64 (*.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z #s(literal 9 binary64)))) (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y))) (*.f64 (-.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (*.f64 x y)) (*.f64 x (*.f64 y (*.f64 x y)))))))
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simplify290.0ms (3.9%)

Algorithm
1×egg-herbie
Rules
3654×*-lowering-*.f32
3654×*-lowering-*.f64
1764×fnmadd-define
1248×fmsub-define
1136×neg-lowering-neg.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0731802
12331525
26821481
329771481
086361481
Stop Event
1×iter limit
1×node limit
Counts
276 → 276
Calls
Call 1
Inputs
(* x y)
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* x y)
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x y)
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* 3 (pow z 2))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* x y)
(* y (+ x (* 3 (/ (pow z 2) y))))
(* y (+ x (* 3 (/ (pow z 2) y))))
(* y (+ x (* 3 (/ (pow z 2) y))))
(* x y)
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(/ 1/3 (pow z 2))
(/ 1/3 (pow z 2))
(/ 1/3 (pow z 2))
(/ 1/3 (pow z 2))
(/ 1/3 (pow z 2))
(/ 1/3 (pow z 2))
(/ 1/3 (pow z 2))
(/ 1/3 (pow z 2))
(/ 1/3 (pow z 2))
(/ 1/3 (pow z 2))
(/ 1/3 (pow z 2))
(/ 1/3 (pow z 2))
(* x y)
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* x y)
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x y)
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* 3 (pow z 2))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* x y)
(* y (+ x (* 3 (/ (pow z 2) y))))
(* y (+ x (* 3 (/ (pow z 2) y))))
(* y (+ x (* 3 (/ (pow z 2) y))))
(* x y)
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* (pow x 2) (pow y 2)))
(- (* 9 (pow z 4)) (* (pow x 2) (pow y 2)))
(- (* 9 (pow z 4)) (* (pow x 2) (pow y 2)))
(- (* 9 (pow z 4)) (* (pow x 2) (pow y 2)))
(* 9 (pow z 4))
(* (pow z 4) (+ 9 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4)))))
(* (pow z 4) (+ 9 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4)))))
(* (pow z 4) (+ 9 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4)))))
(* 9 (pow z 4))
(* (pow z 4) (+ 9 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4)))))
(* (pow z 4) (+ 9 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4)))))
(* (pow z 4) (+ 9 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4)))))
(* 9 (pow z 4))
(+ (* -1 (* (pow x 2) (pow y 2))) (* 9 (pow z 4)))
(+ (* -1 (* (pow x 2) (pow y 2))) (* 9 (pow z 4)))
(+ (* -1 (* (pow x 2) (pow y 2))) (* 9 (pow z 4)))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow x 2) (- (* 9 (/ (pow z 4) (pow x 2))) (pow y 2)))
(* (pow x 2) (- (* 9 (/ (pow z 4) (pow x 2))) (pow y 2)))
(* (pow x 2) (- (* 9 (/ (pow z 4) (pow x 2))) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow x 2) (- (* 9 (/ (pow z 4) (pow x 2))) (pow y 2)))
(* (pow x 2) (- (* 9 (/ (pow z 4) (pow x 2))) (pow y 2)))
(* (pow x 2) (- (* 9 (/ (pow z 4) (pow x 2))) (pow y 2)))
(* 9 (pow z 4))
(+ (* -1 (* (pow x 2) (pow y 2))) (* 9 (pow z 4)))
(+ (* -1 (* (pow x 2) (pow y 2))) (* 9 (pow z 4)))
(+ (* -1 (* (pow x 2) (pow y 2))) (* 9 (pow z 4)))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow y 2) (- (* 9 (/ (pow z 4) (pow y 2))) (pow x 2)))
(* (pow y 2) (- (* 9 (/ (pow z 4) (pow y 2))) (pow x 2)))
(* (pow y 2) (- (* 9 (/ (pow z 4) (pow y 2))) (pow x 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow y 2) (- (* 9 (/ (pow z 4) (pow y 2))) (pow x 2)))
(* (pow y 2) (- (* 9 (/ (pow z 4) (pow y 2))) (pow x 2)))
(* (pow y 2) (- (* 9 (/ (pow z 4) (pow y 2))) (pow x 2)))
(* 9 (pow z 4))
(* 9 (pow z 4))
(* 9 (pow z 4))
(* 9 (pow z 4))
(* 9 (pow z 4))
(* 9 (pow z 4))
(* 9 (pow z 4))
(* 9 (pow z 4))
(* 9 (pow z 4))
(* 9 (pow z 4))
(* 9 (pow z 4))
(* 9 (pow z 4))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* -1 (* x y))
(- (* 3 (pow z 2)) (* x y))
(- (* 3 (pow z 2)) (* x y))
(- (* 3 (pow z 2)) (* x y))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (* -1 (/ (* x y) (pow z 2)))))
(* (pow z 2) (+ 3 (* -1 (/ (* x y) (pow z 2)))))
(* (pow z 2) (+ 3 (* -1 (/ (* x y) (pow z 2)))))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (* -1 (/ (* x y) (pow z 2)))))
(* (pow z 2) (+ 3 (* -1 (/ (* x y) (pow z 2)))))
(* (pow z 2) (+ 3 (* -1 (/ (* x y) (pow z 2)))))
(* 3 (pow z 2))
(+ (* -1 (* x y)) (* 3 (pow z 2)))
(+ (* -1 (* x y)) (* 3 (pow z 2)))
(+ (* -1 (* x y)) (* 3 (pow z 2)))
(* -1 (* x y))
(* x (- (* 3 (/ (pow z 2) x)) y))
(* x (- (* 3 (/ (pow z 2) x)) y))
(* x (- (* 3 (/ (pow z 2) x)) y))
(* -1 (* x y))
(* -1 (* x (- (* -3 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (- (* -3 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (- (* -3 (/ (pow z 2) x)) (* -1 y))))
(* 3 (pow z 2))
(+ (* -1 (* x y)) (* 3 (pow z 2)))
(+ (* -1 (* x y)) (* 3 (pow z 2)))
(+ (* -1 (* x y)) (* 3 (pow z 2)))
(* -1 (* x y))
(* y (- (* 3 (/ (pow z 2) y)) x))
(* y (- (* 3 (/ (pow z 2) y)) x))
(* y (- (* 3 (/ (pow z 2) y)) x))
(* -1 (* x y))
(* -1 (* y (- (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (- (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (- (* -3 (/ (pow z 2) y)) (* -1 x))))
Outputs
(* x y)
(*.f64 x y)
(+ (* 3 (pow z 2)) (* x y))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(+ (* 3 (pow z 2)) (* x y))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(+ (* 3 (pow z 2)) (* x y))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(+ (* 3 (pow z 2)) (* x y))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(+ (* 3 (pow z 2)) (* x y))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(+ (* 3 (pow z 2)) (* x y))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* x y)
(*.f64 x y)
(* x (+ y (* 3 (/ (pow z 2) x))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* x (+ y (* 3 (/ (pow z 2) x))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* x (+ y (* 3 (/ (pow z 2) x))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(+ (* 3 (pow z 2)) (* x y))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(+ (* 3 (pow z 2)) (* x y))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(+ (* 3 (pow z 2)) (* x y))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* x y)
(*.f64 x y)
(* y (+ x (* 3 (/ (pow z 2) y))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* y (+ x (* 3 (/ (pow z 2) y))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* y (+ x (* 3 (/ (pow z 2) y))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 z)
(*.f64 #s(literal 3 binary64) z)
(* 3 z)
(*.f64 #s(literal 3 binary64) z)
(* 3 z)
(*.f64 #s(literal 3 binary64) z)
(* 3 z)
(*.f64 #s(literal 3 binary64) z)
(* 3 z)
(*.f64 #s(literal 3 binary64) z)
(* 3 z)
(*.f64 #s(literal 3 binary64) z)
(* 3 z)
(*.f64 #s(literal 3 binary64) z)
(* 3 z)
(*.f64 #s(literal 3 binary64) z)
(* 3 z)
(*.f64 #s(literal 3 binary64) z)
(* 3 z)
(*.f64 #s(literal 3 binary64) z)
(* 3 z)
(*.f64 #s(literal 3 binary64) z)
(* 3 z)
(*.f64 #s(literal 3 binary64) z)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(/ 1/3 (pow z 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 z z))
(/ 1/3 (pow z 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 z z))
(/ 1/3 (pow z 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 z z))
(/ 1/3 (pow z 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 z z))
(/ 1/3 (pow z 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 z z))
(/ 1/3 (pow z 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 z z))
(/ 1/3 (pow z 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 z z))
(/ 1/3 (pow z 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 z z))
(/ 1/3 (pow z 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 z z))
(/ 1/3 (pow z 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 z z))
(/ 1/3 (pow z 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 z z))
(/ 1/3 (pow z 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 z z))
(* x y)
(*.f64 x y)
(+ (* 3 (pow z 2)) (* x y))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(+ (* 3 (pow z 2)) (* x y))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(+ (* 3 (pow z 2)) (* x y))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(+ (* 3 (pow z 2)) (* x y))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(+ (* 3 (pow z 2)) (* x y))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(+ (* 3 (pow z 2)) (* x y))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* x y)
(*.f64 x y)
(* x (+ y (* 3 (/ (pow z 2) x))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* x (+ y (* 3 (/ (pow z 2) x))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* x (+ y (* 3 (/ (pow z 2) x))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(+ (* 3 (pow z 2)) (* x y))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(+ (* 3 (pow z 2)) (* x y))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(+ (* 3 (pow z 2)) (* x y))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* x y)
(*.f64 x y)
(* y (+ x (* 3 (/ (pow z 2) y))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* y (+ x (* 3 (/ (pow z 2) y))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* y (+ x (* 3 (/ (pow z 2) y))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 x (*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 x y))))
(- (* 9 (pow z 4)) (* (pow x 2) (pow y 2)))
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 x (*.f64 y (*.f64 x y))))
(- (* 9 (pow z 4)) (* (pow x 2) (pow y 2)))
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 x (*.f64 y (*.f64 x y))))
(- (* 9 (pow z 4)) (* (pow x 2) (pow y 2)))
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 x (*.f64 y (*.f64 x y))))
(* 9 (pow z 4))
(*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))
(* (pow z 4) (+ 9 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4)))))
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 x (*.f64 y (*.f64 x y))))
(* (pow z 4) (+ 9 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4)))))
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 x (*.f64 y (*.f64 x y))))
(* (pow z 4) (+ 9 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4)))))
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 x (*.f64 y (*.f64 x y))))
(* 9 (pow z 4))
(*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))
(* (pow z 4) (+ 9 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4)))))
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 x (*.f64 y (*.f64 x y))))
(* (pow z 4) (+ 9 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4)))))
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 x (*.f64 y (*.f64 x y))))
(* (pow z 4) (+ 9 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4)))))
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 x (*.f64 y (*.f64 x y))))
(* 9 (pow z 4))
(*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))
(+ (* -1 (* (pow x 2) (pow y 2))) (* 9 (pow z 4)))
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 x (*.f64 y (*.f64 x y))))
(+ (* -1 (* (pow x 2) (pow y 2))) (* 9 (pow z 4)))
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 x (*.f64 y (*.f64 x y))))
(+ (* -1 (* (pow x 2) (pow y 2))) (* 9 (pow z 4)))
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 x (*.f64 y (*.f64 x y))))
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 x (*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 x y))))
(* (pow x 2) (- (* 9 (/ (pow z 4) (pow x 2))) (pow y 2)))
(*.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 x x)) (*.f64 y y)))
(* (pow x 2) (- (* 9 (/ (pow z 4) (pow x 2))) (pow y 2)))
(*.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 x x)) (*.f64 y y)))
(* (pow x 2) (- (* 9 (/ (pow z 4) (pow x 2))) (pow y 2)))
(*.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 x x)) (*.f64 y y)))
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 x (*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 x y))))
(* (pow x 2) (- (* 9 (/ (pow z 4) (pow x 2))) (pow y 2)))
(*.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 x x)) (*.f64 y y)))
(* (pow x 2) (- (* 9 (/ (pow z 4) (pow x 2))) (pow y 2)))
(*.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 x x)) (*.f64 y y)))
(* (pow x 2) (- (* 9 (/ (pow z 4) (pow x 2))) (pow y 2)))
(*.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 x x)) (*.f64 y y)))
(* 9 (pow z 4))
(*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))
(+ (* -1 (* (pow x 2) (pow y 2))) (* 9 (pow z 4)))
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 x (*.f64 y (*.f64 x y))))
(+ (* -1 (* (pow x 2) (pow y 2))) (* 9 (pow z 4)))
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 x (*.f64 y (*.f64 x y))))
(+ (* -1 (* (pow x 2) (pow y 2))) (* 9 (pow z 4)))
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 x (*.f64 y (*.f64 x y))))
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 x (*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 x y))))
(* (pow y 2) (- (* 9 (/ (pow z 4) (pow y 2))) (pow x 2)))
(*.f64 (*.f64 y y) (-.f64 (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 y y)) (*.f64 x x)))
(* (pow y 2) (- (* 9 (/ (pow z 4) (pow y 2))) (pow x 2)))
(*.f64 (*.f64 y y) (-.f64 (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 y y)) (*.f64 x x)))
(* (pow y 2) (- (* 9 (/ (pow z 4) (pow y 2))) (pow x 2)))
(*.f64 (*.f64 y y) (-.f64 (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 y y)) (*.f64 x x)))
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 x (*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 x y))))
(* (pow y 2) (- (* 9 (/ (pow z 4) (pow y 2))) (pow x 2)))
(*.f64 (*.f64 y y) (-.f64 (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 y y)) (*.f64 x x)))
(* (pow y 2) (- (* 9 (/ (pow z 4) (pow y 2))) (pow x 2)))
(*.f64 (*.f64 y y) (-.f64 (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 y y)) (*.f64 x x)))
(* (pow y 2) (- (* 9 (/ (pow z 4) (pow y 2))) (pow x 2)))
(*.f64 (*.f64 y y) (-.f64 (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 y y)) (*.f64 x x)))
(* 9 (pow z 4))
(*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))
(* 9 (pow z 4))
(*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))
(* 9 (pow z 4))
(*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))
(* 9 (pow z 4))
(*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))
(* 9 (pow z 4))
(*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))
(* 9 (pow z 4))
(*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))
(* 9 (pow z 4))
(*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))
(* 9 (pow z 4))
(*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))
(* 9 (pow z 4))
(*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))
(* 9 (pow z 4))
(*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))
(* 9 (pow z 4))
(*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))
(* 9 (pow z 4))
(*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))
(* (pow x 2) (pow y 2))
(*.f64 x (*.f64 y (*.f64 x y)))
(* (pow x 2) (pow y 2))
(*.f64 x (*.f64 y (*.f64 x y)))
(* (pow x 2) (pow y 2))
(*.f64 x (*.f64 y (*.f64 x y)))
(* (pow x 2) (pow y 2))
(*.f64 x (*.f64 y (*.f64 x y)))
(* (pow x 2) (pow y 2))
(*.f64 x (*.f64 y (*.f64 x y)))
(* (pow x 2) (pow y 2))
(*.f64 x (*.f64 y (*.f64 x y)))
(* (pow x 2) (pow y 2))
(*.f64 x (*.f64 y (*.f64 x y)))
(* (pow x 2) (pow y 2))
(*.f64 x (*.f64 y (*.f64 x y)))
(* (pow x 2) (pow y 2))
(*.f64 x (*.f64 y (*.f64 x y)))
(* (pow x 2) (pow y 2))
(*.f64 x (*.f64 y (*.f64 x y)))
(* (pow x 2) (pow y 2))
(*.f64 x (*.f64 y (*.f64 x y)))
(* (pow x 2) (pow y 2))
(*.f64 x (*.f64 y (*.f64 x y)))
(* (pow x 2) (pow y 2))
(*.f64 x (*.f64 y (*.f64 x y)))
(* (pow x 2) (pow y 2))
(*.f64 x (*.f64 y (*.f64 x y)))
(* (pow x 2) (pow y 2))
(*.f64 x (*.f64 y (*.f64 x y)))
(* (pow x 2) (pow y 2))
(*.f64 x (*.f64 y (*.f64 x y)))
(* (pow x 2) (pow y 2))
(*.f64 x (*.f64 y (*.f64 x y)))
(* (pow x 2) (pow y 2))
(*.f64 x (*.f64 y (*.f64 x y)))
(* (pow x 2) (pow y 2))
(*.f64 x (*.f64 y (*.f64 x y)))
(* (pow x 2) (pow y 2))
(*.f64 x (*.f64 y (*.f64 x y)))
(* (pow x 2) (pow y 2))
(*.f64 x (*.f64 y (*.f64 x y)))
(* (pow x 2) (pow y 2))
(*.f64 x (*.f64 y (*.f64 x y)))
(* (pow x 2) (pow y 2))
(*.f64 x (*.f64 y (*.f64 x y)))
(* (pow x 2) (pow y 2))
(*.f64 x (*.f64 y (*.f64 x y)))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(- (* 3 (pow z 2)) (* x y))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 z z)) (*.f64 x y))
(- (* 3 (pow z 2)) (* x y))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 z z)) (*.f64 x y))
(- (* 3 (pow z 2)) (* x y))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 z z)) (*.f64 x y))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* (pow z 2) (+ 3 (* -1 (/ (* x y) (pow z 2)))))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 z z)) (*.f64 x y))
(* (pow z 2) (+ 3 (* -1 (/ (* x y) (pow z 2)))))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 z z)) (*.f64 x y))
(* (pow z 2) (+ 3 (* -1 (/ (* x y) (pow z 2)))))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 z z)) (*.f64 x y))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* (pow z 2) (+ 3 (* -1 (/ (* x y) (pow z 2)))))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 z z)) (*.f64 x y))
(* (pow z 2) (+ 3 (* -1 (/ (* x y) (pow z 2)))))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 z z)) (*.f64 x y))
(* (pow z 2) (+ 3 (* -1 (/ (* x y) (pow z 2)))))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 z z)) (*.f64 x y))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(+ (* -1 (* x y)) (* 3 (pow z 2)))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 z z)) (*.f64 x y))
(+ (* -1 (* x y)) (* 3 (pow z 2)))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 z z)) (*.f64 x y))
(+ (* -1 (* x y)) (* 3 (pow z 2)))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 z z)) (*.f64 x y))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(* x (- (* 3 (/ (pow z 2) x)) y))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 z z)) (*.f64 x y))
(* x (- (* 3 (/ (pow z 2) x)) y))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 z z)) (*.f64 x y))
(* x (- (* 3 (/ (pow z 2) x)) y))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 z z)) (*.f64 x y))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(* -1 (* x (- (* -3 (/ (pow z 2) x)) (* -1 y))))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 z z)) (*.f64 x y))
(* -1 (* x (- (* -3 (/ (pow z 2) x)) (* -1 y))))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 z z)) (*.f64 x y))
(* -1 (* x (- (* -3 (/ (pow z 2) x)) (* -1 y))))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 z z)) (*.f64 x y))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(+ (* -1 (* x y)) (* 3 (pow z 2)))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 z z)) (*.f64 x y))
(+ (* -1 (* x y)) (* 3 (pow z 2)))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 z z)) (*.f64 x y))
(+ (* -1 (* x y)) (* 3 (pow z 2)))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 z z)) (*.f64 x y))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(* y (- (* 3 (/ (pow z 2) y)) x))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 z z)) (*.f64 x y))
(* y (- (* 3 (/ (pow z 2) y)) x))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 z z)) (*.f64 x y))
(* y (- (* 3 (/ (pow z 2) y)) x))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 z z)) (*.f64 x y))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(* -1 (* y (- (* -3 (/ (pow z 2) y)) (* -1 x))))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 z z)) (*.f64 x y))
(* -1 (* y (- (* -3 (/ (pow z 2) y)) (* -1 x))))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 z z)) (*.f64 x y))
(* -1 (* y (- (* -3 (/ (pow z 2) y)) (* -1 x))))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 z z)) (*.f64 x y))

eval314.0ms (4.2%)

Compiler

Compiled 49295 to 2017 computations (95.9% saved)

prune114.0ms (1.5%)

Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New125651261
Fresh202
Picked235
Done022
Total1260101270
Accuracy
100.0%
Counts
1270 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶54.1%
(/.f64 (*.f64 z z) #s(literal 1/3 binary64))
▶54.1%
(/.f64 z (/.f64 #s(literal 1/3 binary64) z))
▶54.0%
(/.f64 #s(literal 3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) z))
▶54.0%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) z) z))
✓98.7%
(+.f64 (*.f64 z (*.f64 z #s(literal 3 binary64))) (*.f64 x y))
✓79.9%
(+.f64 (*.f64 x y) (*.f64 z z))
▶54.1%
(*.f64 (/.f64 z #s(literal 1/3 binary64)) z)
✓35.6%
(*.f64 z z)
✓53.0%
(*.f64 x y)
✓54.1%
(*.f64 #s(literal 3 binary64) (*.f64 z z))
Compiler

Compiled 130 to 96 computations (26.2% saved)

simplify9.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1 binary64) z)
✓cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) z) z)
✓cost-diff128
(/.f64 #s(literal 3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) z))
✓cost-diff0
(/.f64 #s(literal 1/3 binary64) z)
✓cost-diff0
(/.f64 (/.f64 #s(literal 1/3 binary64) z) z)
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) z) z))
✓cost-diff0
(/.f64 #s(literal 1/3 binary64) z)
✓cost-diff0
(/.f64 z (/.f64 #s(literal 1/3 binary64) z))
✓cost-diff0
(/.f64 z #s(literal 1/3 binary64))
✓cost-diff0
(*.f64 (/.f64 z #s(literal 1/3 binary64)) z)
✓cost-diff0
(*.f64 z z)
✓cost-diff0
(/.f64 (*.f64 z z) #s(literal 1/3 binary64))
Rules
60×*-lowering-*.f32
60×*-lowering-*.f64
50×/-lowering-/.f32
50×/-lowering-/.f64
20×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01553
12752
23852
35352
49952
512152
612652
712752
012752
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ (* z z) 1/3)
(* z z)
z
1/3
(* (/ z 1/3) z)
(/ z 1/3)
z
1/3
(/ z (/ 1/3 z))
z
(/ 1/3 z)
1/3
(/ 1 (/ (/ 1/3 z) z))
1
(/ (/ 1/3 z) z)
(/ 1/3 z)
1/3
z
(/ 3 (/ (/ 1 z) z))
3
(/ (/ 1 z) z)
(/ 1 z)
1
z
Outputs
(/ (* z z) 1/3)
(/.f64 z (/.f64 #s(literal 1/3 binary64) z))
(* z z)
(*.f64 z z)
z
1/3
#s(literal 1/3 binary64)
(* (/ z 1/3) z)
(/.f64 z (/.f64 #s(literal 1/3 binary64) z))
(/ z 1/3)
(/.f64 z #s(literal 1/3 binary64))
z
1/3
#s(literal 1/3 binary64)
(/ z (/ 1/3 z))
(/.f64 z (/.f64 #s(literal 1/3 binary64) z))
z
(/ 1/3 z)
(/.f64 #s(literal 1/3 binary64) z)
1/3
#s(literal 1/3 binary64)
(/ 1 (/ (/ 1/3 z) z))
(/.f64 z (/.f64 #s(literal 1/3 binary64) z))
1
#s(literal 1 binary64)
(/ (/ 1/3 z) z)
(/.f64 #s(literal 1/3 binary64) (*.f64 z z))
(/ 1/3 z)
(/.f64 #s(literal 1/3 binary64) z)
1/3
#s(literal 1/3 binary64)
z
(/ 3 (/ (/ 1 z) z))
(/.f64 z (/.f64 #s(literal 1/3 binary64) z))
3
#s(literal 3 binary64)
(/ (/ 1 z) z)
(/.f64 (/.f64 #s(literal 1 binary64) z) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
1
#s(literal 1 binary64)
z

localize237.0ms (3.2%)

Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) z)
✓accuracy99.8%
(/.f64 (/.f64 #s(literal 1 binary64) z) z)
✓accuracy99.4%
(/.f64 #s(literal 3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) z))
✓accuracy99.9%
(/.f64 (/.f64 #s(literal 1/3 binary64) z) z)
✓accuracy99.6%
(/.f64 #s(literal 1/3 binary64) z)
✓accuracy99.5%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) z) z))
✓accuracy99.9%
(/.f64 z (/.f64 #s(literal 1/3 binary64) z))
✓accuracy99.6%
(/.f64 #s(literal 1/3 binary64) z)
✓accuracy99.9%
(*.f64 (/.f64 z #s(literal 1/3 binary64)) z)
✓accuracy99.7%
(/.f64 z #s(literal 1/3 binary64))
✓accuracy100.0%
(*.f64 z z)
✓accuracy99.8%
(/.f64 (*.f64 z z) #s(literal 1/3 binary64))
Results
141.0ms80×5exit
66.0ms176×0valid
Compiler

Compiled 70 to 18 computations (74.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 92.0ms
ival-div: 35.0ms (38.1% of total)
...c/correct-round.rkt:119:19: 24.0ms (26.1% of total)
backward-pass: 24.0ms (26.1% of total)
ival-mult: 8.0ms (8.7% of total)
const: 1.0ms (1.1% of total)

series3.0ms (0%)

Counts
11 → 132
Calls
Call 1
Inputs
#<alt (/ (* z z) 1/3)>
#<alt (* z z)>
#<alt (* (/ z 1/3) z)>
#<alt (/ z 1/3)>
#<alt (/ z (/ 1/3 z))>
#<alt (/ 1/3 z)>
#<alt (/ 1 (/ (/ 1/3 z) z))>
#<alt (/ (/ 1/3 z) z)>
#<alt (/ 3 (/ (/ 1 z) z))>
#<alt (/ (/ 1 z) z)>
#<alt (/ 1 z)>
Outputs
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (/ 1/3 z)>
#<alt (/ 1/3 z)>
#<alt (/ 1/3 z)>
#<alt (/ 1/3 z)>
#<alt (/ 1/3 z)>
#<alt (/ 1/3 z)>
#<alt (/ 1/3 z)>
#<alt (/ 1/3 z)>
#<alt (/ 1/3 z)>
#<alt (/ 1/3 z)>
#<alt (/ 1/3 z)>
#<alt (/ 1/3 z)>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (/ 1/3 (pow z 2))>
#<alt (/ 1/3 (pow z 2))>
#<alt (/ 1/3 (pow z 2))>
#<alt (/ 1/3 (pow z 2))>
#<alt (/ 1/3 (pow z 2))>
#<alt (/ 1/3 (pow z 2))>
#<alt (/ 1/3 (pow z 2))>
#<alt (/ 1/3 (pow z 2))>
#<alt (/ 1/3 (pow z 2))>
#<alt (/ 1/3 (pow z 2))>
#<alt (/ 1/3 (pow z 2))>
#<alt (/ 1/3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (/ 1 (pow z 2))>
#<alt (/ 1 (pow z 2))>
#<alt (/ 1 (pow z 2))>
#<alt (/ 1 (pow z 2))>
#<alt (/ 1 (pow z 2))>
#<alt (/ 1 (pow z 2))>
#<alt (/ 1 (pow z 2))>
#<alt (/ 1 (pow z 2))>
#<alt (/ 1 (pow z 2))>
#<alt (/ 1 (pow z 2))>
#<alt (/ 1 (pow z 2))>
#<alt (/ 1 (pow z 2))>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
Calls

33 calls:

TimeVariablePointExpression
0.0ms
z
@inf
(/ 1/3 z)
0.0ms
z
@-inf
(/ 1 z)
0.0ms
z
@-inf
(/ 1/3 z)
0.0ms
z
@0
(/ 1/3 z)
0.0ms
z
@0
(/ (* z z) 1/3)

rewrite707.0ms (9.4%)

Algorithm
1×batch-egg-rewrite
Rules
2092×*-lowering-*.f32
2092×*-lowering-*.f64
1380×/-lowering-/.f32
1380×/-lowering-/.f64
1200×sum3-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01538
17237
236737
3128737
4685337
0822937
Stop Event
1×iter limit
1×node limit
Counts
11 → 1342
Calls
Call 1
Inputs
(/ (* z z) 1/3)
(* z z)
(* (/ z 1/3) z)
(/ z 1/3)
(/ z (/ 1/3 z))
(/ 1/3 z)
(/ 1 (/ (/ 1/3 z) z))
(/ (/ 1/3 z) z)
(/ 3 (/ (/ 1 z) z))
(/ (/ 1 z) z)
(/ 1 z)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 z (/.f64 #s(literal 1/3 binary64) z)))
(+.f64 (*.f64 (/.f64 z #s(literal 1/3 binary64)) #s(literal 0 binary64)) (/.f64 z (/.f64 #s(literal 1/3 binary64) z)))
(exp.f64 (log.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z))))
(exp.f64 (*.f64 (log.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 z (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 z z)) (/.f64 z (/.f64 #s(literal 1/3 binary64) z)))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 z z))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 z z))) #s(literal -1/2 binary64)) (*.f64 (log.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 z z))) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 z (/.f64 #s(literal 1/3 binary64) z)))
(neg.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)))
(/.f64 z (/.f64 #s(literal 1/3 binary64) z))
(/.f64 (/.f64 #s(literal 1/3 binary64) z) (*.f64 (/.f64 #s(literal 1/3 binary64) z) (/.f64 #s(literal 1/3 binary64) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 z z)))
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 z z)))
(/.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(/.f64 (*.f64 z z) #s(literal 1/3 binary64))
(/.f64 (*.f64 z z) #s(literal -1/3 binary64))
(/.f64 (*.f64 z z) (*.f64 (/.f64 #s(literal 1/3 binary64) z) z))
(/.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) #s(literal 1 binary64))
(/.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) #s(literal -1 binary64))
(/.f64 (*.f64 z (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64)))))
(/.f64 (/.f64 z #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) z))
(/.f64 (sqrt.f64 z) (/.f64 (pow.f64 z #s(literal -3/2 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 z #s(literal 3/2 binary64)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 z #s(literal 3/2 binary64)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal -3 binary64)))
(/.f64 (/.f64 #s(literal 3 binary64) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -3/2 binary64)))
(/.f64 (/.f64 #s(literal 3 binary64) (pow.f64 z #s(literal -3/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 3 binary64) (pow.f64 z #s(literal -3/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal -1/2 binary64))))
(/.f64 (/.f64 #s(literal -3 binary64) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -3/2 binary64)))
(/.f64 (*.f64 z (*.f64 z z)) (*.f64 (/.f64 #s(literal 1/3 binary64) z) (*.f64 z z)))
(/.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 #s(literal -1/3 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))
(/.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 #s(literal 1/3 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))
(/.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 #s(literal -1/3 binary64) (*.f64 z z)))
(/.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 #s(literal 1/3 binary64) (*.f64 z z)))
(/.f64 (*.f64 (/.f64 z #s(literal 1/3 binary64)) (*.f64 z z)) z)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) z) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) z) z)) (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 z z)) #s(literal 3 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) z) #s(literal -3 binary64))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) z) (*.f64 z z))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) #s(literal -1/3 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) z) (*.f64 z z))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) #s(literal 1/3 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) z) (/.f64 z (/.f64 #s(literal 1/3 binary64) z)))) (/.f64 #s(literal 1/3 binary64) z))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) z) (/.f64 z #s(literal 1/3 binary64)))) (/.f64 #s(literal 1/3 binary64) (*.f64 z z)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (pow.f64 z #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) (/.f64 #s(literal 3 binary64) (pow.f64 z #s(literal -3/2 binary64))))) (/.f64 (pow.f64 z #s(literal -3/2 binary64)) #s(literal 3 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (/.f64 z (/.f64 #s(literal 1/3 binary64) z))) (*.f64 #s(literal 0 binary64) (/.f64 z (/.f64 #s(literal 1/3 binary64) z))))))
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -1/2 binary64))) (/.f64 (pow.f64 z #s(literal -3/2 binary64)) #s(literal 3 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (/.f64 z (/.f64 #s(literal 1/3 binary64) z)))) (/.f64 z (/.f64 #s(literal 1/3 binary64) z)))
(/.f64 (*.f64 (sqrt.f64 z) (/.f64 z #s(literal 1/3 binary64))) (pow.f64 z #s(literal -1/2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 z #s(literal -3/2 binary64))) #s(literal 1 binary64)) (pow.f64 z #s(literal -1/2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 z #s(literal -3/2 binary64))) #s(literal -1 binary64)) (pow.f64 z #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 z (*.f64 z (*.f64 z z))))
(/.f64 (*.f64 #s(literal -3 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 z z))
(/.f64 (*.f64 (/.f64 z #s(literal 1/3 binary64)) (*.f64 z (*.f64 z z))) (*.f64 z z))
(/.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal -1/2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 z #s(literal -1/2 binary64))) z) (pow.f64 z #s(literal -1/2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -3 binary64) (pow.f64 z #s(literal -1/2 binary64))) z) (pow.f64 z #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 z (*.f64 z (*.f64 z z))))
(/.f64 (*.f64 #s(literal 3 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 z z))
(/.f64 (*.f64 (*.f64 z z) (/.f64 z #s(literal 1/3 binary64))) z)
(/.f64 (*.f64 (*.f64 z (*.f64 z z)) (/.f64 z #s(literal 1/3 binary64))) (*.f64 z z))
(/.f64 (*.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))) #s(literal -3 binary64)) (*.f64 z (*.f64 z (*.f64 z z))))
(/.f64 (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) #s(literal -3 binary64)) (*.f64 z z))
(/.f64 (*.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))) #s(literal 3 binary64)) (*.f64 z (*.f64 z (*.f64 z z))))
(/.f64 (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 3 binary64)) (*.f64 z z))
(/.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) #s(literal -3 binary64)) (pow.f64 z #s(literal -1/2 binary64)))
(/.f64 (/.f64 z (pow.f64 (/.f64 #s(literal 1/3 binary64) z) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1/3 binary64) z) #s(literal 1/2 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 3 binary64) (pow.f64 z #s(literal -3/2 binary64))) (pow.f64 z #s(literal -1/4 binary64))) (pow.f64 z #s(literal -1/4 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64)))))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 3 binary64))) (pow.f64 z #s(literal -3/2 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal -3 binary64))) (pow.f64 z #s(literal -3/2 binary64)))
(pow.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 z z)) #s(literal -1 binary64))
(pow.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) #s(literal 1 binary64))
(pow.f64 (*.f64 z (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 z z)) (/.f64 z (/.f64 #s(literal 1/3 binary64) z))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 z z))))
(pow.f64 (*.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) (/.f64 z (/.f64 #s(literal 1/3 binary64) z))) #s(literal 1/2 binary64))
(*.f64 z (/.f64 z #s(literal 1/3 binary64)))
(*.f64 z (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 z (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64)))))
(*.f64 z (*.f64 (pow.f64 #s(literal -1/3 binary64) #s(literal -1/2 binary64)) (*.f64 z (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 z (/.f64 #s(literal 1/3 binary64) z)))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(*.f64 #s(literal -1 binary64) (/.f64 z (/.f64 #s(literal 1/3 binary64) z)))
(*.f64 #s(literal -3 binary64) (*.f64 z z))
(*.f64 (*.f64 z z) #s(literal 3 binary64))
(*.f64 (*.f64 z z) #s(literal -3 binary64))
(*.f64 (*.f64 z z) (pow.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 z z) (pow.f64 (pow.f64 #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 z z) (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 1/3 binary64) #s(literal -1/2 binary64))))
(*.f64 (*.f64 z z) (*.f64 (pow.f64 #s(literal -1/3 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1/3 binary64) #s(literal -1/2 binary64))))
(*.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) #s(literal 1 binary64))
(*.f64 (/.f64 z (/.f64 #s(literal 1/3 binary64) z)) #s(literal -1 binary64))
(*.f64 (*.f64 z (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64))) (*.f64 z (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64))))
(*.f64 (/.f64 z #s(literal 1/3 binary64)) z)
(*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 z (*.f64 z (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) z) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) z) #s(literal -1/2 binary64)) z))
(*.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) z) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 z) (*.f64 z (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) z) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) z) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 z) (/.f64 #s(literal 3 binary64) (pow.f64 z #s(literal -3/2 binary64))))
(*.f64 (sqrt.f64 z) (pow.f64 (/.f64 (pow.f64 z #s(literal -3/2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 z #s(literal 1/3 binary64))))
(*.f64 (sqrt.f64 z) (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 z #s(literal -3/2 binary64))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 z) (*.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) z) #s(literal -1/2 binary64)) (*.f64 z (pow.f64 #s(literal -3 binary64) #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 z) (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 z #s(literal -3/2 binary64))) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) (/.f64 #s(literal 1/3 binary64) z)))
(*.f64 (sqrt.f64 z) (/.f64 (/.f64 #s(literal 3 binary64) (pow.f64 z #s(literal -3/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (/.f64 z (/.f64 #s(literal 1/3 binary64) z)))
(*.f64 (pow.f64 z #s(literal 3/2 binary64)) (/.f64 #s(literal 3 binary64) (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (pow.f64 z #s(literal 3/2 binary64)) (/.f64 #s(literal -3 binary64) (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (pow.f64 z #s(literal 3/2 binary64)) (neg.f64 (/.f64 #s(literal 3 binary64) (pow.f64 z #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 z #s(literal 3/2 binary64)) (neg.f64 (/.f64 #s(literal -3 binary64) (pow.f64 z #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 z #s(literal 3/2 binary64)) (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal 3/2 binary64)) (*.f64 (/.f64 #s(literal -3 binary64) (pow.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)))
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(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 0 binary64))
(fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal -3/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 z #s(literal -3/2 binary64)) (pow.f64 z #s(literal -1/2 binary64)) #s(literal 0 binary64))
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(/.f64 z (*.f64 z (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (*.f64 z z))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) z) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) z)))
(/.f64 (/.f64 #s(literal 1 binary64) z) z)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 z (/.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal -1 binary64) (*.f64 z z))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) z))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) (*.f64 z (/.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) z))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) (+.f64 #s(literal 0 binary64) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) z) #s(literal 0 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) z) (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 z))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (/.f64 #s(literal 1 binary64) (*.f64 z z)))) z)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (/.f64 #s(literal 1 binary64) z))) (*.f64 z z))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) z)) (*.f64 z (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))))) (*.f64 z (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) z)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) z))) (*.f64 z (/.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) z))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) z) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 0 binary64)))
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) z) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 3/2 binary64))) (sqrt.f64 z))
(pow.f64 z #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1 binary64))
(pow.f64 (*.f64 z z) #s(literal -1 binary64))
(pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 4 binary64))
(pow.f64 (*.f64 z (*.f64 z (*.f64 z z))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal -3/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 z (*.f64 z (*.f64 z z))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) z)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) z) (*.f64 z z))
(*.f64 (pow.f64 z #s(literal -1/4 binary64)) (*.f64 (pow.f64 z #s(literal -1/4 binary64)) (pow.f64 z #s(literal -3/2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 z #s(literal 3/2 binary64)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 z #s(literal -3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 z #s(literal -3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal -3/2 binary64)) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (pow.f64 z #s(literal -3/2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (sqrt.f64 z) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 z) #s(literal -2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal -1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 z #s(literal -3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal -1/2 binary64)))) (pow.f64 z #s(literal -3/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 3/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 z z))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)) z)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z (*.f64 z z))) (*.f64 z z))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 z z))
(+.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) z))
(exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 z)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 z #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 z) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 z) #s(literal -1/2 binary64)) (*.f64 (log.f64 z) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) z))
(neg.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))))
(/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 #s(literal 1 binary64) z) z))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal -1 binary64) z)
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)))
(/.f64 (pow.f64 z #s(literal -1/2 binary64)) (sqrt.f64 z))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 0 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) z)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) z) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (sqrt.f64 z))
(pow.f64 z #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 z z) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 z))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) z)
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) (*.f64 z z))
(*.f64 (pow.f64 z #s(literal -1/4 binary64)) (*.f64 (pow.f64 z #s(literal -1/4 binary64)) (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (pow.f64 z #s(literal -1/4 binary64)) (*.f64 (pow.f64 z #s(literal -1/4 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal -1/2 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal -1/2 binary64))) (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal -3/2 binary64)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 (pow.f64 z #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 z) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal -1/2 binary64)))) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (pow.f64 z #s(literal -1/2 binary64)))

simplify22.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
14×*-lowering-*.f32
14×*-lowering-*.f64
12×/-lowering-/.f32
12×/-lowering-/.f64
4×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
012540
119444
224444
024444
Stop Event
1×iter limit
1×saturated
Counts
132 → 132
Calls
Call 1
Inputs
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(/ 1/3 z)
(/ 1/3 z)
(/ 1/3 z)
(/ 1/3 z)
(/ 1/3 z)
(/ 1/3 z)
(/ 1/3 z)
(/ 1/3 z)
(/ 1/3 z)
(/ 1/3 z)
(/ 1/3 z)
(/ 1/3 z)
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(/ 1/3 (pow z 2))
(/ 1/3 (pow z 2))
(/ 1/3 (pow z 2))
(/ 1/3 (pow z 2))
(/ 1/3 (pow z 2))
(/ 1/3 (pow z 2))
(/ 1/3 (pow z 2))
(/ 1/3 (pow z 2))
(/ 1/3 (pow z 2))
(/ 1/3 (pow z 2))
(/ 1/3 (pow z 2))
(/ 1/3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(/ 1 (pow z 2))
(/ 1 (pow z 2))
(/ 1 (pow z 2))
(/ 1 (pow z 2))
(/ 1 (pow z 2))
(/ 1 (pow z 2))
(/ 1 (pow z 2))
(/ 1 (pow z 2))
(/ 1 (pow z 2))
(/ 1 (pow z 2))
(/ 1 (pow z 2))
(/ 1 (pow z 2))
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
Outputs
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 z)
(*.f64 #s(literal 3 binary64) z)
(* 3 z)
(*.f64 #s(literal 3 binary64) z)
(* 3 z)
(*.f64 #s(literal 3 binary64) z)
(* 3 z)
(*.f64 #s(literal 3 binary64) z)
(* 3 z)
(*.f64 #s(literal 3 binary64) z)
(* 3 z)
(*.f64 #s(literal 3 binary64) z)
(* 3 z)
(*.f64 #s(literal 3 binary64) z)
(* 3 z)
(*.f64 #s(literal 3 binary64) z)
(* 3 z)
(*.f64 #s(literal 3 binary64) z)
(* 3 z)
(*.f64 #s(literal 3 binary64) z)
(* 3 z)
(*.f64 #s(literal 3 binary64) z)
(* 3 z)
(*.f64 #s(literal 3 binary64) z)
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(/ 1/3 z)
(/.f64 #s(literal 1/3 binary64) z)
(/ 1/3 z)
(/.f64 #s(literal 1/3 binary64) z)
(/ 1/3 z)
(/.f64 #s(literal 1/3 binary64) z)
(/ 1/3 z)
(/.f64 #s(literal 1/3 binary64) z)
(/ 1/3 z)
(/.f64 #s(literal 1/3 binary64) z)
(/ 1/3 z)
(/.f64 #s(literal 1/3 binary64) z)
(/ 1/3 z)
(/.f64 #s(literal 1/3 binary64) z)
(/ 1/3 z)
(/.f64 #s(literal 1/3 binary64) z)
(/ 1/3 z)
(/.f64 #s(literal 1/3 binary64) z)
(/ 1/3 z)
(/.f64 #s(literal 1/3 binary64) z)
(/ 1/3 z)
(/.f64 #s(literal 1/3 binary64) z)
(/ 1/3 z)
(/.f64 #s(literal 1/3 binary64) z)
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(/ 1/3 (pow z 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 z z))
(/ 1/3 (pow z 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 z z))
(/ 1/3 (pow z 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 z z))
(/ 1/3 (pow z 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 z z))
(/ 1/3 (pow z 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 z z))
(/ 1/3 (pow z 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 z z))
(/ 1/3 (pow z 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 z z))
(/ 1/3 (pow z 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 z z))
(/ 1/3 (pow z 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 z z))
(/ 1/3 (pow z 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 z z))
(/ 1/3 (pow z 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 z z))
(/ 1/3 (pow z 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(/ 1 (pow z 2))
(/.f64 #s(literal 1 binary64) (*.f64 z z))
(/ 1 (pow z 2))
(/.f64 #s(literal 1 binary64) (*.f64 z z))
(/ 1 (pow z 2))
(/.f64 #s(literal 1 binary64) (*.f64 z z))
(/ 1 (pow z 2))
(/.f64 #s(literal 1 binary64) (*.f64 z z))
(/ 1 (pow z 2))
(/.f64 #s(literal 1 binary64) (*.f64 z z))
(/ 1 (pow z 2))
(/.f64 #s(literal 1 binary64) (*.f64 z z))
(/ 1 (pow z 2))
(/.f64 #s(literal 1 binary64) (*.f64 z z))
(/ 1 (pow z 2))
(/.f64 #s(literal 1 binary64) (*.f64 z z))
(/ 1 (pow z 2))
(/.f64 #s(literal 1 binary64) (*.f64 z z))
(/ 1 (pow z 2))
(/.f64 #s(literal 1 binary64) (*.f64 z z))
(/ 1 (pow z 2))
(/.f64 #s(literal 1 binary64) (*.f64 z z))
(/ 1 (pow z 2))
(/.f64 #s(literal 1 binary64) (*.f64 z z))
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)

eval241.0ms (3.2%)

Compiler

Compiled 18503 to 1894 computations (89.8% saved)

prune122.0ms (1.6%)

Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New156911570
Fresh000
Picked235
Done055
Total157191580
Accuracy
100.0%
Counts
1580 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓54.1%
(/.f64 (*.f64 z z) #s(literal 1/3 binary64))
✓54.1%
(/.f64 z (/.f64 #s(literal 1/3 binary64) z))
✓98.7%
(+.f64 (*.f64 z (*.f64 z #s(literal 3 binary64))) (*.f64 x y))
✓79.9%
(+.f64 (*.f64 x y) (*.f64 z z))
✓54.1%
(*.f64 (/.f64 z #s(literal 1/3 binary64)) z)
54.1%
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
✓35.6%
(*.f64 z z)
✓53.0%
(*.f64 x y)
✓54.1%
(*.f64 #s(literal 3 binary64) (*.f64 z z))
Compiler

Compiled 273 to 102 computations (62.6% saved)

regimes60.0ms (0.8%)

Counts
21 → 1
Calls
Call 1
Inputs
(*.f64 x y)
(*.f64 z z)
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
(*.f64 (/.f64 z #s(literal 1/3 binary64)) z)
(/.f64 z (/.f64 #s(literal 1/3 binary64) z))
(/.f64 (*.f64 z z) #s(literal 1/3 binary64))
(+.f64 (*.f64 x y) (*.f64 z z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) z) z))
(/.f64 #s(literal 3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) z))
(+.f64 (*.f64 x y) (*.f64 (*.f64 z #s(literal 3 binary64)) z))
(+.f64 (*.f64 x y) (*.f64 (*.f64 z z) #s(literal 3 binary64)))
(+.f64 (*.f64 z (*.f64 z #s(literal 3 binary64))) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) (*.f64 (*.f64 z z) #s(literal 3 binary64)))))
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
(/.f64 (-.f64 (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 9 binary64))) (*.f64 x (*.f64 y (*.f64 x y)))) (-.f64 (*.f64 (*.f64 z z) #s(literal 3 binary64)) (*.f64 x y)))
(fma.f64 z (+.f64 z z) (*.f64 z z))
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 x y))
(fma.f64 z (+.f64 z z) (+.f64 (*.f64 x y) (*.f64 z z)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) (*.f64 z (*.f64 z #s(literal 3 binary64))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) (*.f64 z (*.f64 z #s(literal 3 binary64))))) #s(literal -1/2 binary64)))
Outputs
(fma.f64 z (+.f64 z z) (+.f64 (*.f64 x y) (*.f64 z z)))
Calls

6 calls:

22.0ms
(*.f64 x y)
10.0ms
x
7.0ms
y
7.0ms
z
6.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
98.8%1x
98.8%1y
98.8%1z
98.8%1(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
98.8%1(*.f64 x y)
98.8%1(*.f64 z z)
Compiler

Compiled 42 to 25 computations (40.5% saved)

regimes39.0ms (0.5%)

Counts
19 → 1
Calls
Call 1
Inputs
(*.f64 x y)
(*.f64 z z)
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
(*.f64 (/.f64 z #s(literal 1/3 binary64)) z)
(/.f64 z (/.f64 #s(literal 1/3 binary64) z))
(/.f64 (*.f64 z z) #s(literal 1/3 binary64))
(+.f64 (*.f64 x y) (*.f64 z z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) z) z))
(/.f64 #s(literal 3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) z))
(+.f64 (*.f64 x y) (*.f64 (*.f64 z #s(literal 3 binary64)) z))
(+.f64 (*.f64 x y) (*.f64 (*.f64 z z) #s(literal 3 binary64)))
(+.f64 (*.f64 z (*.f64 z #s(literal 3 binary64))) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) (*.f64 (*.f64 z z) #s(literal 3 binary64)))))
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
(/.f64 (-.f64 (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 9 binary64))) (*.f64 x (*.f64 y (*.f64 x y)))) (-.f64 (*.f64 (*.f64 z z) #s(literal 3 binary64)) (*.f64 x y)))
(fma.f64 z (+.f64 z z) (*.f64 z z))
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 x y))
Outputs
(+.f64 (*.f64 x y) (*.f64 (*.f64 z #s(literal 3 binary64)) z))
Calls

6 calls:

7.0ms
y
7.0ms
(*.f64 x y)
6.0ms
x
6.0ms
z
6.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
Results
AccuracySegmentsBranch
98.7%1x
98.7%1y
98.7%1z
98.7%1(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
98.7%1(*.f64 x y)
98.7%1(*.f64 z z)
Compiler

Compiled 42 to 25 computations (40.5% saved)

regimes26.0ms (0.3%)

Counts
11 → 2
Calls
Call 1
Inputs
(*.f64 x y)
(*.f64 z z)
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
(*.f64 (/.f64 z #s(literal 1/3 binary64)) z)
(/.f64 z (/.f64 #s(literal 1/3 binary64) z))
(/.f64 (*.f64 z z) #s(literal 1/3 binary64))
(+.f64 (*.f64 x y) (*.f64 z z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) z) z))
(/.f64 #s(literal 3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) z))
Outputs
(+.f64 (*.f64 x y) (*.f64 z z))
(/.f64 (*.f64 z z) #s(literal 1/3 binary64))
Calls

5 calls:

9.0ms
(*.f64 x y)
5.0ms
x
4.0ms
y
4.0ms
z
4.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
83.5%3x
83.6%3y
86.8%2z
87.2%3(*.f64 x y)
86.8%2(*.f64 z z)
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes6.0ms (0.1%)

Counts
7 → 2
Calls
Call 1
Inputs
(*.f64 x y)
(*.f64 z z)
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
(*.f64 (/.f64 z #s(literal 1/3 binary64)) z)
(/.f64 z (/.f64 #s(literal 1/3 binary64) z))
(/.f64 (*.f64 z z) #s(literal 1/3 binary64))
Outputs
(*.f64 x y)
(/.f64 (*.f64 z z) #s(literal 1/3 binary64))
Calls

2 calls:

3.0ms
z
3.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
85.8%2z
85.8%2(*.f64 z z)
Compiler

Compiled 10 to 7 computations (30% saved)

regimes6.0ms (0.1%)

Counts
6 → 2
Calls
Call 1
Inputs
(*.f64 x y)
(*.f64 z z)
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
(*.f64 (/.f64 z #s(literal 1/3 binary64)) z)
(/.f64 z (/.f64 #s(literal 1/3 binary64) z))
Outputs
(*.f64 x y)
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
Calls

2 calls:

3.0ms
z
2.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
85.8%2z
85.8%2(*.f64 z z)
Compiler

Compiled 10 to 7 computations (30% saved)

regimes4.0ms (0.1%)

Counts
3 → 2
Calls
Call 1
Inputs
(*.f64 x y)
(*.f64 z z)
(*.f64 #s(literal 3 binary64) (*.f64 z z))
Outputs
(*.f64 x y)
(*.f64 #s(literal 3 binary64) (*.f64 z z))
Calls

2 calls:

2.0ms
z
2.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
85.8%2z
85.8%2(*.f64 z z)
Compiler

Compiled 10 to 7 computations (30% saved)

regimes9.0ms (0.1%)

Counts
2 → 2
Calls
Call 1
Inputs
(*.f64 x y)
(*.f64 z z)
Outputs
(*.f64 x y)
(*.f64 z z)
Calls

5 calls:

2.0ms
x
2.0ms
y
2.0ms
z
1.0ms
(*.f64 x y)
1.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
57.4%3x
59.7%3y
60.1%3(*.f64 x y)
76.7%2z
76.7%2(*.f64 z z)
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes5.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 x y)
Outputs
(*.f64 x y)
Calls

4 calls:

1.0ms
z
1.0ms
x
1.0ms
y
1.0ms
(*.f64 x y)
Results
AccuracySegmentsBranch
53.0%1x
53.0%1y
53.0%1(*.f64 x y)
53.0%1z
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.4885371798080465e+61
4.3318841783414667e+71
Compiler

Compiled 20 to 13 computations (35% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.4885371798080465e+61
4.3318841783414667e+71
Compiler

Compiled 20 to 13 computations (35% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.4885371798080465e+61
4.3318841783414667e+71
Compiler

Compiled 20 to 13 computations (35% saved)

bsearch19.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
18.0ms
1.4885371798080465e+61
4.3318841783414667e+71
Results
11.0ms153×0valid
1.0ms3×3valid
0.0ms2×2valid
0.0ms2×1valid
Compiler

Compiled 160 to 123 computations (23.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-add: 3.0ms (64.6% of total)
ival-mult: 2.0ms (43.1% of total)
backward-pass: 0.0ms (0% of total)
const: 0.0ms (0% of total)

bsearch6.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
6.0ms
3.097721424673911e+298
5.579229578953201e+298
Results
4.0ms64×0valid
Compiler

Compiled 68 to 49 computations (27.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-add: 1.0ms (61.4% of total)
ival-mult: 1.0ms (61.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify10.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
8×*-commutative_binary64
4×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02696
13296
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 z (+.f64 z z) (+.f64 (*.f64 x y) (*.f64 z z)))
(+.f64 (*.f64 x y) (*.f64 (*.f64 z #s(literal 3 binary64)) z))
(if (<=.f64 (*.f64 z z) #s(literal 19999999999999998987742705941480377339272900220268201461678080 binary64)) (+.f64 (*.f64 x y) (*.f64 z z)) (/.f64 (*.f64 z z) #s(literal 1/3 binary64)))
(if (<=.f64 (*.f64 z z) #s(literal 19999999999999998987742705941480377339272900220268201461678080 binary64)) (*.f64 x y) (/.f64 (*.f64 z z) #s(literal 1/3 binary64)))
(if (<=.f64 (*.f64 z z) #s(literal 19999999999999998987742705941480377339272900220268201461678080 binary64)) (*.f64 x y) (*.f64 (*.f64 z #s(literal 3 binary64)) z))
(if (<=.f64 (*.f64 z z) #s(literal 314999999999999999043048391990894694205550857688923105040269312 binary64)) (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(if (<=.f64 (*.f64 z z) #s(literal 41999999999999995513623842568561867854306438731990163915794965384220637484560777301294640531559129336578171408277545229337328920016759357131447666808966008220894647478140367733620087805811667040404651781528957681617025979055173489658266234246305588065383637561481013844997883574184640541405225156608 binary64)) (*.f64 x y) (*.f64 z z))
(*.f64 x y)
Outputs
(fma.f64 z (+.f64 z z) (+.f64 (*.f64 x y) (*.f64 z z)))
(+.f64 (*.f64 x y) (*.f64 (*.f64 z #s(literal 3 binary64)) z))
(+.f64 (*.f64 x y) (*.f64 z (*.f64 z #s(literal 3 binary64))))
(if (<=.f64 (*.f64 z z) #s(literal 19999999999999998987742705941480377339272900220268201461678080 binary64)) (+.f64 (*.f64 x y) (*.f64 z z)) (/.f64 (*.f64 z z) #s(literal 1/3 binary64)))
(if (<=.f64 (*.f64 z z) #s(literal 19999999999999998987742705941480377339272900220268201461678080 binary64)) (*.f64 x y) (/.f64 (*.f64 z z) #s(literal 1/3 binary64)))
(if (<=.f64 (*.f64 z z) #s(literal 19999999999999998987742705941480377339272900220268201461678080 binary64)) (*.f64 x y) (*.f64 (*.f64 z #s(literal 3 binary64)) z))
(if (<=.f64 (*.f64 z z) #s(literal 19999999999999998987742705941480377339272900220268201461678080 binary64)) (*.f64 x y) (*.f64 z (*.f64 z #s(literal 3 binary64))))
(if (<=.f64 (*.f64 z z) #s(literal 314999999999999999043048391990894694205550857688923105040269312 binary64)) (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(if (<=.f64 (*.f64 z z) #s(literal 314999999999999999043048391990894694205550857688923105040269312 binary64)) (*.f64 x y) (*.f64 (*.f64 z z) #s(literal 3 binary64)))
(if (<=.f64 (*.f64 z z) #s(literal 41999999999999995513623842568561867854306438731990163915794965384220637484560777301294640531559129336578171408277545229337328920016759357131447666808966008220894647478140367733620087805811667040404651781528957681617025979055173489658266234246305588065383637561481013844997883574184640541405225156608 binary64)) (*.f64 x y) (*.f64 z z))
(*.f64 x y)

soundness1.8s (24.2%)

Rules
6642×*-lowering-*.f32
6642×*-lowering-*.f64
3984×/-lowering-/.f32
3984×/-lowering-/.f64
3906×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0810
11910
2437
3727
4937
5997
0997
01538
17237
236737
3128737
4685337
0822937
01139
17138
277436
0845336
0851110
1315962
21055962
33318962
08457962
02672533
18952161
227782130
087432130
02375
114463
2108263
0849563
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×saturated
Compiler

Compiled 366 to 206 computations (43.7% saved)

preprocess55.0ms (0.7%)

Remove

(sort x y)

(abs z)

Compiler

Compiled 378 to 148 computations (60.8% saved)

end0.0ms (0%)

Profiling

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