Data.Array.Repa.Algorithms.ColorRamp:rampColorHotToCold from repa-algorithms-3.4.0.1, B

Time bar (total: 6.8s)

analyze76.0ms (1.1%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
50%49.9%49.9%0.1%0%0%0%4
50%49.9%49.9%0.1%0%0%0%5
50%49.9%49.9%0.1%0%0%0%6
75%74.9%25%0.1%0%0%0%7
75%74.9%25%0.1%0%0%0%8
75%74.9%25%0.1%0%0%0%9
87.5%87.4%12.5%0.1%0%0%0%10
87.5%87.4%12.5%0.1%0%0%0%11
87.5%87.4%12.5%0.1%0%0%0%12
Compiler

Compiled 15 to 11 computations (26.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 9.0ms (46.8% of total)
ival-sub: 7.0ms (36.4% of total)
ival-div: 2.0ms (10.4% of total)
const: 1.0ms (5.2% of total)
backward-pass: 0.0ms (0% of total)

sample920.0ms (13.5%)

Results
667.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 351.0ms
ival-mult: 156.0ms (44.4% of total)
ival-sub: 109.0ms (31% of total)
ival-div: 68.0ms (19.4% of total)
const: 15.0ms (4.3% of total)
backward-pass: 3.0ms (0.9% of total)
Bogosity

preprocess227.0ms (3.3%)

Algorithm
2×egg-herbie
Rules
2024×fnmadd-define
1508×sum5-define
1446×fma-lowering-fma.f32
1446×fma-lowering-fma.f64
1260×sum4-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
042120
1135110
2444102
3192290
01011
12311
26510
31829
45108
515538
651308
083858
Stop Event
1×iter limit
1×node limit
1×node limit
Calls
Call 1
Inputs
(/ (* 4 (- (- x y) (* z 1/2))) z)
Outputs
(/ (* 4 (- (- x y) (* z 1/2))) z)
(+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z))
Call 2
Inputs
(/ (* 4 (- (- x y) (* z 1/2))) z)
(/ (* 4 (- (- (neg x) y) (* z 1/2))) z)
(/ (* 4 (- (- x (neg y)) (* z 1/2))) z)
(/ (* 4 (- (- x y) (* (neg z) 1/2))) (neg z))
(neg (/ (* 4 (- (- (neg x) y) (* z 1/2))) z))
(neg (/ (* 4 (- (- x (neg y)) (* z 1/2))) z))
(neg (/ (* 4 (- (- x y) (* (neg z) 1/2))) (neg z)))
(/ (* 4 (- (- y x) (* z 1/2))) z)
(/ (* 4 (- (- z y) (* x 1/2))) x)
(/ (* 4 (- (- x z) (* y 1/2))) y)
Outputs
(/ (* 4 (- (- x y) (* z 1/2))) z)
(* -4 (- (/ (- y x) z) -1/2))
(/ (* 4 (- (- (neg x) y) (* z 1/2))) z)
(* 4 (- -1/2 (/ (+ x y) z)))
(/ (* 4 (- (- x (neg y)) (* z 1/2))) z)
(* 4 (+ (/ (+ x y) z) -1/2))
(/ (* 4 (- (- x y) (* (neg z) 1/2))) (neg z))
(+ (* (/ (- y x) z) 4) -2)
(neg (/ (* 4 (- (- (neg x) y) (* z 1/2))) z))
(* 4 (+ (/ (+ x y) z) 1/2))
(neg (/ (* 4 (- (- x (neg y)) (* z 1/2))) z))
(* (+ (/ (+ x y) z) -1/2) -4)
(neg (/ (* 4 (- (- x y) (* (neg z) 1/2))) (neg z)))
(+ (* -4 (/ (- y x) z)) 2)
(/ (* 4 (- (- y x) (* z 1/2))) z)
(+ (* (/ (- y x) z) 4) -2)
(/ (* 4 (- (- z y) (* x 1/2))) x)
(+ (* 4 (/ (- z y) x)) -2)
(/ (* 4 (- (- x z) (* y 1/2))) y)
(* 4 (+ (/ (- x z) y) -1/2))

explain119.0ms (1.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-0-(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
00-0-x
00-0-(*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64))))
00-0-#s(literal 1/2 binary64)
00-0-(*.f64 z #s(literal 1/2 binary64))
00-0-(-.f64 x y)
00-0-(-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))
00-0-y
00-0-z
00-0-#s(literal 4 binary64)
Results
52.0ms512×0valid
Compiler

Compiled 98 to 32 computations (67.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 7.0ms (38.4% of total)
ival-sub: 6.0ms (32.9% of total)
ival-div: 4.0ms (21.9% of total)
const: 1.0ms (5.5% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 12 to 9 computations (25% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.6%
(+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z))
Compiler

Compiled 12 to 9 computations (25% saved)

simplify134.0ms (2%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 x y)
✓cost-diff0
(*.f64 #s(literal 4 binary64) (-.f64 x y))
✓cost-diff0
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
✓cost-diff0
(+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z))
Rules
2340×fnmadd-define
1692×sum5-define
1664×fmsub-define
1622×fnmsub-define
1340×fmm-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0929
11528
23328
35828
411428
526428
679728
7129628
8240828
9427228
10647728
0811228
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ -2 (/ (* 4 (- x y)) z))
-2
(/ (* 4 (- x y)) z)
(* 4 (- x y))
4
(- x y)
x
y
z
Outputs
(+ -2 (/ (* 4 (- x y)) z))
(+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z))
-2
#s(literal -2 binary64)
(/ (* 4 (- x y)) z)
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* 4 (- x y))
(*.f64 #s(literal 4 binary64) (-.f64 x y))
4
#s(literal 4 binary64)
(- x y)
(-.f64 x y)
x
y
z

localize32.0ms (0.5%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 x y)
✓accuracy100.0%
(+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z))
✓accuracy100.0%
(*.f64 #s(literal 4 binary64) (-.f64 x y))
✓accuracy99.6%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
Results
23.0ms256×0valid
Compiler

Compiled 33 to 10 computations (69.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-sub: 2.0ms (25.1% of total)
ival-div: 2.0ms (25.1% of total)
ival-mult: 2.0ms (25.1% of total)
ival-add: 1.0ms (12.6% of total)
const: 1.0ms (12.6% of total)
backward-pass: 0.0ms (0% of total)

series22.0ms (0.3%)

Counts
4 → 120
Calls
Call 1
Inputs
#<alt (+ -2 (/ (* 4 (- x y)) z))>
#<alt (/ (* 4 (- x y)) z)>
#<alt (* 4 (- x y))>
#<alt (- x y)>
Outputs
#<alt (- (* -4 (/ y z)) 2)>
#<alt (- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)>
#<alt (- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)>
#<alt (- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)>
#<alt (* 4 (/ x z))>
#<alt (* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))>
#<alt (* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))>
#<alt (* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))>
#<alt (* 4 (/ x z))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))>
#<alt (- (* 4 (/ x z)) 2)>
#<alt (- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)>
#<alt (- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)>
#<alt (- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)>
#<alt (* -4 (/ y z))>
#<alt (* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))>
#<alt (* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))>
#<alt (* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))>
#<alt (* -4 (/ y z))>
#<alt (* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))>
#<alt (* 4 (/ (- x y) z))>
#<alt (/ (+ (* -2 z) (* 4 (- x y))) z)>
#<alt (/ (+ (* -2 z) (* 4 (- x y))) z)>
#<alt (/ (+ (* -2 z) (* 4 (- x y))) z)>
#<alt -2>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt -2>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt (- (* 4 (/ (- x y) z)) 2)>
#<alt (* -4 (/ y z))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ x z)))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ x z)))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ x z)))>
#<alt (* 4 (/ x z))>
#<alt (* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))>
#<alt (* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))>
#<alt (* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))>
#<alt (* 4 (/ x z))>
#<alt (* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))>
#<alt (* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))>
#<alt (* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))>
#<alt (* 4 (/ x z))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ x z)))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ x z)))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ x z)))>
#<alt (* -4 (/ y z))>
#<alt (* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))>
#<alt (* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))>
#<alt (* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))>
#<alt (* -4 (/ y z))>
#<alt (* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* -4 y)>
#<alt (+ (* -4 y) (* 4 x))>
#<alt (+ (* -4 y) (* 4 x))>
#<alt (+ (* -4 y) (* 4 x))>
#<alt (* 4 x)>
#<alt (* x (+ 4 (* -4 (/ y x))))>
#<alt (* x (+ 4 (* -4 (/ y x))))>
#<alt (* x (+ 4 (* -4 (/ y x))))>
#<alt (* 4 x)>
#<alt (* -1 (* x (- (* 4 (/ y x)) 4)))>
#<alt (* -1 (* x (- (* 4 (/ y x)) 4)))>
#<alt (* -1 (* x (- (* 4 (/ y x)) 4)))>
#<alt (* 4 x)>
#<alt (+ (* -4 y) (* 4 x))>
#<alt (+ (* -4 y) (* 4 x))>
#<alt (+ (* -4 y) (* 4 x))>
#<alt (* -4 y)>
#<alt (* y (- (* 4 (/ x y)) 4))>
#<alt (* y (- (* 4 (/ x y)) 4))>
#<alt (* y (- (* 4 (/ x y)) 4))>
#<alt (* -4 y)>
#<alt (* -1 (* y (+ 4 (* -4 (/ x y)))))>
#<alt (* -1 (* y (+ 4 (* -4 (/ x y)))))>
#<alt (* -1 (* y (+ 4 (* -4 (/ x y)))))>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
Calls

30 calls:

TimeVariablePointExpression
14.0ms
x
@inf
(* 4 (- x y))
1.0ms
z
@inf
(+ -2 (/ (* 4 (- x y)) z))
1.0ms
y
@0
(+ -2 (/ (* 4 (- x y)) z))
1.0ms
x
@inf
(+ -2 (/ (* 4 (- x y)) z))
1.0ms
x
@0
(+ -2 (/ (* 4 (- x y)) z))

rewrite296.0ms (4.3%)

Algorithm
1×batch-egg-rewrite
Rules
3676×*-lowering-*.f32
3676×*-lowering-*.f64
2846×/-lowering-/.f32
2846×/-lowering-/.f64
2010×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0924
14923
243023
3703023
0886823
Stop Event
1×iter limit
1×node limit
Counts
4 → 243
Calls
Call 1
Inputs
(+ -2 (/ (* 4 (- x y)) z))
(/ (* 4 (- x y)) z)
(* 4 (- x y))
(- x y)
Outputs
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) (/.f64 z (-.f64 x y))))
(+.f64 (/.f64 #s(literal 4 binary64) (/.f64 z (-.f64 x y))) #s(literal -2 binary64))
(+.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (/.f64 z (-.f64 x y))))) (neg.f64 (/.f64 (/.f64 (*.f64 (/.f64 (-.f64 x y) z) #s(literal 16 binary64)) (/.f64 z (-.f64 x y))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (/.f64 z (-.f64 x y)))))))
(-.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (/.f64 z (-.f64 x y))))
(-.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (/.f64 z (-.f64 x y))))) (/.f64 (/.f64 (*.f64 (/.f64 (-.f64 x y) z) #s(literal 16 binary64)) (/.f64 z (-.f64 x y))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (/.f64 z (-.f64 x y))))))
(-.f64 (/.f64 (/.f64 (*.f64 (/.f64 (-.f64 x y) z) #s(literal 16 binary64)) (/.f64 z (-.f64 x y))) (+.f64 (/.f64 #s(literal 4 binary64) (/.f64 z (-.f64 x y))) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (/.f64 z (-.f64 x y))) #s(literal 2 binary64))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64))
(fma.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (/.f64 z (-.f64 x y))))) (neg.f64 (/.f64 (/.f64 (*.f64 (/.f64 (-.f64 x y) z) #s(literal 16 binary64)) (/.f64 z (-.f64 x y))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (/.f64 z (-.f64 x y)))))))
(fma.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) z) #s(literal -2 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) (/.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))
(fma.f64 (*.f64 (-.f64 x y) #s(literal -4 binary64)) (/.f64 #s(literal -1 binary64) z) #s(literal -2 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 z (-.f64 x y))) #s(literal -2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 4 binary64) (-.f64 x y)) #s(literal -2 binary64))
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
(fma.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -16 binary64) (/.f64 (-.f64 x y) (*.f64 (/.f64 z (-.f64 x y)) z))))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) (/.f64 z (-.f64 x y)))) (neg.f64 (/.f64 (/.f64 (*.f64 (/.f64 (-.f64 x y) z) #s(literal 16 binary64)) (/.f64 z (-.f64 x y))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (/.f64 z (-.f64 x y)))))))
(fma.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal -8 binary64) (*.f64 (/.f64 (-.f64 x y) z) (*.f64 #s(literal 64 binary64) (/.f64 (-.f64 x y) (*.f64 (/.f64 z (-.f64 x y)) z)))))) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 x y) z) (+.f64 (*.f64 (/.f64 (-.f64 x y) z) #s(literal 16 binary64)) #s(literal -8 binary64)))) (neg.f64 (/.f64 (/.f64 (*.f64 (/.f64 (-.f64 x y) z) #s(literal 16 binary64)) (/.f64 z (-.f64 x y))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (/.f64 z (-.f64 x y)))))))
(neg.f64 (/.f64 (+.f64 #s(literal -8 binary64) (*.f64 (/.f64 (-.f64 x y) z) (*.f64 #s(literal 64 binary64) (/.f64 (-.f64 x y) (*.f64 (/.f64 z (-.f64 x y)) z))))) (+.f64 #s(literal -4 binary64) (neg.f64 (*.f64 (/.f64 (-.f64 x y) z) (-.f64 (*.f64 (/.f64 (-.f64 x y) z) #s(literal 16 binary64)) #s(literal -8 binary64)))))))
(neg.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -16 binary64) (/.f64 (-.f64 x y) (*.f64 (/.f64 z (-.f64 x y)) z)))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (/.f64 z (-.f64 x y))))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (*.f64 (/.f64 (-.f64 x y) z) (*.f64 #s(literal 64 binary64) (/.f64 (-.f64 x y) (*.f64 (/.f64 z (-.f64 x y)) z))))) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 x y) z) (-.f64 (*.f64 (/.f64 (-.f64 x y) z) #s(literal 16 binary64)) #s(literal -8 binary64))))))
(neg.f64 (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 (*.f64 (/.f64 (-.f64 x y) z) #s(literal 16 binary64)) (/.f64 z (-.f64 x y)))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (/.f64 z (-.f64 x y))))))
(/.f64 (+.f64 #s(literal -8 binary64) (*.f64 (/.f64 (-.f64 x y) z) (*.f64 #s(literal 64 binary64) (/.f64 (-.f64 x y) (*.f64 (/.f64 z (-.f64 x y)) z))))) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 x y) z) (-.f64 (*.f64 (/.f64 (-.f64 x y) z) #s(literal 16 binary64)) #s(literal -8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) (/.f64 z (-.f64 x y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) (/.f64 z (-.f64 x y))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (/.f64 z (-.f64 x y))) #s(literal 2 binary64)) (+.f64 (/.f64 (*.f64 (/.f64 (-.f64 x y) z) #s(literal 16 binary64)) (/.f64 z (-.f64 x y))) #s(literal -4 binary64))))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -16 binary64) (/.f64 (-.f64 x y) (*.f64 (/.f64 z (-.f64 x y)) z)))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (/.f64 z (-.f64 x y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) (/.f64 z (-.f64 x y)))))))
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(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 (-.f64 #s(literal 0 binary64) y) x))))
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 y y) (-.f64 (*.f64 x x) (neg.f64 (*.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 (-.f64 #s(literal 0 binary64) y) x))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 x y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (neg.f64 (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 (-.f64 #s(literal 0 binary64) y) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 #s(literal 0 binary64) (+.f64 x y)))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (+.f64 x y) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) (*.f64 y y))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (*.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))) (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (+.f64 x y) (+.f64 (*.f64 x x) (*.f64 y y))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) (*.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))) (*.f64 y (*.f64 y y)))) (*.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x y)) (*.f64 (+.f64 x y) (*.f64 y y))) (*.f64 (+.f64 x y) (+.f64 x y)))
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64)) (+.f64 x y))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) (*.f64 y y)))) (+.f64 x y)))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (+.f64 x y)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 y y)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))) (+.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 x y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (+.f64 x y)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x (/.f64 x (+.f64 x y))) (*.f64 x (/.f64 x (+.f64 x y)))) (+.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 x y)) (/.f64 (*.f64 y y) (+.f64 x y))) (*.f64 (*.f64 x (/.f64 x (+.f64 x y))) (/.f64 (*.f64 y y) (+.f64 x y))))))
(/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (-.f64 (-.f64 #s(literal 0 binary64) y) x))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 x (+.f64 x y))) (*.f64 x (/.f64 x (+.f64 x y)))) (*.f64 (/.f64 (*.f64 y y) (+.f64 x y)) (/.f64 (*.f64 y y) (+.f64 x y)))) (+.f64 (*.f64 x (/.f64 x (+.f64 x y))) (/.f64 (*.f64 y y) (+.f64 x y))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))) (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) (*.f64 y y)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (+.f64 (*.f64 x x) (*.f64 y y)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal -1 binary64))
(*.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))
(*.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 (-.f64 #s(literal 0 binary64) y) x)))))
(*.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))) (/.f64 (-.f64 x y) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))
(*.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))))
(*.f64 #s(literal 1 binary64) (-.f64 x y))
(*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y))
(*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (+.f64 x y)) (*.f64 (*.f64 y y) (*.f64 (+.f64 x y) (+.f64 x y)))))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y (+.f64 x y)) (-.f64 (*.f64 y (+.f64 x y)) (*.f64 x x)))))
(*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 (+.f64 x y) (+.f64 x y))))) (-.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))

simplify180.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
2418×*-lowering-*.f32
2418×*-lowering-*.f64
2016×sum3-define
1104×+-lowering-+.f64
1104×+-lowering-+.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
097788
1315764
2935674
33148674
47223674
08141674
Stop Event
1×iter limit
1×node limit
Counts
120 → 120
Calls
Call 1
Inputs
(- (* -4 (/ y z)) 2)
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(* 4 (/ x z))
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(* 4 (/ x z))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(- (* 4 (/ x z)) 2)
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(* -4 (/ y z))
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* -4 (/ y z))
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(* -4 (/ y z))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(* 4 (/ x z))
(* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))
(* 4 (/ x z))
(* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))
(* 4 (/ x z))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(* -4 (/ y z))
(* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))
(* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))
(* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))
(* -4 (/ y z))
(* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* -4 y)
(+ (* -4 y) (* 4 x))
(+ (* -4 y) (* 4 x))
(+ (* -4 y) (* 4 x))
(* 4 x)
(* x (+ 4 (* -4 (/ y x))))
(* x (+ 4 (* -4 (/ y x))))
(* x (+ 4 (* -4 (/ y x))))
(* 4 x)
(* -1 (* x (- (* 4 (/ y x)) 4)))
(* -1 (* x (- (* 4 (/ y x)) 4)))
(* -1 (* x (- (* 4 (/ y x)) 4)))
(* 4 x)
(+ (* -4 y) (* 4 x))
(+ (* -4 y) (* 4 x))
(+ (* -4 y) (* 4 x))
(* -4 y)
(* y (- (* 4 (/ x y)) 4))
(* y (- (* 4 (/ x y)) 4))
(* y (- (* 4 (/ x y)) 4))
(* -4 y)
(* -1 (* y (+ 4 (* -4 (/ x y)))))
(* -1 (* y (+ 4 (* -4 (/ x y)))))
(* -1 (* y (+ 4 (* -4 (/ x y)))))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
Outputs
(- (* -4 (/ y z)) 2)
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 y z)))
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z)))
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z)))
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z)))
(* 4 (/ x z))
(*.f64 x (/.f64 #s(literal 4 binary64) z))
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z)))
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z)))
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z)))
(* 4 (/ x z))
(*.f64 x (/.f64 #s(literal 4 binary64) z))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z)))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z)))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z)))
(- (* 4 (/ x z)) 2)
(+.f64 (*.f64 x (/.f64 #s(literal 4 binary64) z)) #s(literal -2 binary64))
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z)))
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z)))
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z)))
(* -4 (/ y z))
(*.f64 #s(literal -4 binary64) (/.f64 y z))
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z)))
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z)))
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z)))
(* -4 (/ y z))
(*.f64 #s(literal -4 binary64) (/.f64 y z))
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z)))
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z)))
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z)))
(* 4 (/ (- x y) z))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/.f64 (+.f64 (*.f64 z #s(literal -2 binary64)) (*.f64 #s(literal -4 binary64) (-.f64 y x))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/.f64 (+.f64 (*.f64 z #s(literal -2 binary64)) (*.f64 #s(literal -4 binary64) (-.f64 y x))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/.f64 (+.f64 (*.f64 z #s(literal -2 binary64)) (*.f64 #s(literal -4 binary64) (-.f64 y x))) z)
-2
#s(literal -2 binary64)
(- (* 4 (/ (- x y) z)) 2)
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z)))
(- (* 4 (/ (- x y) z)) 2)
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z)))
(- (* 4 (/ (- x y) z)) 2)
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z)))
-2
#s(literal -2 binary64)
(- (* 4 (/ (- x y) z)) 2)
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z)))
(- (* 4 (/ (- x y) z)) 2)
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z)))
(- (* 4 (/ (- x y) z)) 2)
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z)))
(* -4 (/ y z))
(*.f64 #s(literal -4 binary64) (/.f64 y z))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(* 4 (/ x z))
(*.f64 x (/.f64 #s(literal 4 binary64) z))
(* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(* 4 (/ x z))
(*.f64 x (/.f64 #s(literal 4 binary64) z))
(* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(* 4 (/ x z))
(*.f64 x (/.f64 #s(literal 4 binary64) z))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(* -4 (/ y z))
(*.f64 #s(literal -4 binary64) (/.f64 y z))
(* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(* -4 (/ y z))
(*.f64 #s(literal -4 binary64) (/.f64 y z))
(* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(* 4 (/ (- x y) z))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(* 4 (/ (- x y) z))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(* 4 (/ (- x y) z))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(* 4 (/ (- x y) z))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(* 4 (/ (- x y) z))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(* 4 (/ (- x y) z))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(* 4 (/ (- x y) z))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(* 4 (/ (- x y) z))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(* 4 (/ (- x y) z))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(* 4 (/ (- x y) z))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(* 4 (/ (- x y) z))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(* 4 (/ (- x y) z))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(+ (* -4 y) (* 4 x))
(*.f64 #s(literal -4 binary64) (-.f64 y x))
(+ (* -4 y) (* 4 x))
(*.f64 #s(literal -4 binary64) (-.f64 y x))
(+ (* -4 y) (* 4 x))
(*.f64 #s(literal -4 binary64) (-.f64 y x))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* x (+ 4 (* -4 (/ y x))))
(*.f64 #s(literal -4 binary64) (-.f64 y x))
(* x (+ 4 (* -4 (/ y x))))
(*.f64 #s(literal -4 binary64) (-.f64 y x))
(* x (+ 4 (* -4 (/ y x))))
(*.f64 #s(literal -4 binary64) (-.f64 y x))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* -1 (* x (- (* 4 (/ y x)) 4)))
(*.f64 #s(literal -4 binary64) (-.f64 y x))
(* -1 (* x (- (* 4 (/ y x)) 4)))
(*.f64 #s(literal -4 binary64) (-.f64 y x))
(* -1 (* x (- (* 4 (/ y x)) 4)))
(*.f64 #s(literal -4 binary64) (-.f64 y x))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(+ (* -4 y) (* 4 x))
(*.f64 #s(literal -4 binary64) (-.f64 y x))
(+ (* -4 y) (* 4 x))
(*.f64 #s(literal -4 binary64) (-.f64 y x))
(+ (* -4 y) (* 4 x))
(*.f64 #s(literal -4 binary64) (-.f64 y x))
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* y (- (* 4 (/ x y)) 4))
(*.f64 #s(literal -4 binary64) (-.f64 y x))
(* y (- (* 4 (/ x y)) 4))
(*.f64 #s(literal -4 binary64) (-.f64 y x))
(* y (- (* 4 (/ x y)) 4))
(*.f64 #s(literal -4 binary64) (-.f64 y x))
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* -1 (* y (+ 4 (* -4 (/ x y)))))
(*.f64 #s(literal -4 binary64) (-.f64 y x))
(* -1 (* y (+ 4 (* -4 (/ x y)))))
(*.f64 #s(literal -4 binary64) (-.f64 y x))
(* -1 (* y (+ 4 (* -4 (/ x y)))))
(*.f64 #s(literal -4 binary64) (-.f64 y x))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)

eval40.0ms (0.6%)

Compiler

Compiled 8363 to 986 computations (88.2% saved)

prune42.0ms (0.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New3576363
Fresh000
Picked011
Done000
Total3577364
Accuracy
100.0%
Counts
364 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.2%
(+.f64 (*.f64 x (/.f64 #s(literal 4 binary64) z)) #s(literal -2 binary64))
✓99.6%
(+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z))
▶64.8%
(+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) y) z))
▶38.6%
(*.f64 x (/.f64 #s(literal 4 binary64) z))
▶70.7%
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
▶36.4%
(*.f64 #s(literal -4 binary64) (/.f64 y z))
▶31.0%
#s(literal -2 binary64)
Compiler

Compiled 112 to 87 computations (22.3% saved)

simplify147.0ms (2.2%)

Algorithm
1×egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 #s(literal -4 binary64) y)
✓cost-diff0
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
✓cost-diff0
(+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) y) z))
✓cost-diff0
(/.f64 #s(literal 4 binary64) z)
✓cost-diff0
(*.f64 x (/.f64 #s(literal 4 binary64) z))
✓cost-diff0
(/.f64 y z)
✓cost-diff0
(*.f64 #s(literal -4 binary64) (/.f64 y z))
✓cost-diff0
(-.f64 x y)
✓cost-diff0
(/.f64 (-.f64 x y) z)
✓cost-diff0
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
Rules
1556×fnmadd-define
1248×fma-define
1246×fmsub-define
1208×fnmsub-define
984×sum3-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01661
12960
24960
38460
415760
528360
656860
7101060
8212960
9370560
10533060
11573160
12614360
13617160
14619760
15620360
0620360
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* 4 (/ (- x y) z))
4
(/ (- x y) z)
(- x y)
x
y
z
-2
(* -4 (/ y z))
-4
(/ y z)
y
z
(* x (/ 4 z))
x
(/ 4 z)
4
z
(+ -2 (/ (* -4 y) z))
-2
(/ (* -4 y) z)
(* -4 y)
-4
y
z
Outputs
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
4
#s(literal 4 binary64)
(/ (- x y) z)
(/.f64 (-.f64 x y) z)
(- x y)
(-.f64 x y)
x
y
z
-2
#s(literal -2 binary64)
(* -4 (/ y z))
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
-4
#s(literal -4 binary64)
(/ y z)
(/.f64 y z)
y
z
(* x (/ 4 z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
x
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
4
#s(literal 4 binary64)
z
(+ -2 (/ (* -4 y) z))
(+.f64 #s(literal -2 binary64) (/.f64 (*.f64 y #s(literal -4 binary64)) z))
-2
#s(literal -2 binary64)
(/ (* -4 y) z)
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(* -4 y)
(*.f64 y #s(literal -4 binary64))
-4
#s(literal -4 binary64)
y
z

localize132.0ms (1.9%)

Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 #s(literal -4 binary64) y)
✓accuracy100.0%
(+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) y) z))
✓accuracy99.6%
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
✓accuracy100.0%
(/.f64 #s(literal 4 binary64) z)
✓accuracy99.6%
(*.f64 x (/.f64 #s(literal 4 binary64) z))
✓accuracy100.0%
(/.f64 y z)
✓accuracy100.0%
(*.f64 #s(literal -4 binary64) (/.f64 y z))
✓accuracy100.0%
(-.f64 x y)
✓accuracy100.0%
(/.f64 (-.f64 x y) z)
✓accuracy100.0%
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
Results
97.0ms256×0valid
Compiler

Compiled 65 to 17 computations (73.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-div: 8.0ms (43.3% of total)
ival-mult: 7.0ms (37.9% of total)
ival-sub: 2.0ms (10.8% of total)
ival-add: 1.0ms (5.4% of total)
const: 1.0ms (5.4% of total)
backward-pass: 0.0ms (0% of total)

series12.0ms (0.2%)

Counts
10 → 240
Calls
Call 1
Inputs
#<alt (* 4 (/ (- x y) z))>
#<alt (/ (- x y) z)>
#<alt (- x y)>
#<alt (* -4 (/ y z))>
#<alt (/ y z)>
#<alt (* x (/ 4 z))>
#<alt (/ 4 z)>
#<alt (+ -2 (/ (* -4 y) z))>
#<alt (/ (* -4 y) z)>
#<alt (* -4 y)>
Outputs
#<alt (* -4 (/ y z))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ x z)))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ x z)))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ x z)))>
#<alt (* 4 (/ x z))>
#<alt (* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))>
#<alt (* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))>
#<alt (* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))>
#<alt (* 4 (/ x z))>
#<alt (* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))>
#<alt (* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))>
#<alt (* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))>
#<alt (* 4 (/ x z))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ x z)))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ x z)))>
#<alt (+ (* -4 (/ y z)) (* 4 (/ x z)))>
#<alt (* -4 (/ y z))>
#<alt (* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))>
#<alt (* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))>
#<alt (* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))>
#<alt (* -4 (/ y z))>
#<alt (* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* 4 (/ (- x y) z))>
#<alt (* -1 (/ y z))>
#<alt (+ (* -1 (/ y z)) (/ x z))>
#<alt (+ (* -1 (/ y z)) (/ x z))>
#<alt (+ (* -1 (/ y z)) (/ x z))>
#<alt (/ x z)>
#<alt (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))>
#<alt (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))>
#<alt (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))>
#<alt (/ x z)>
#<alt (* -1 (* x (- (/ y (* x z)) (/ 1 z))))>
#<alt (* -1 (* x (- (/ y (* x z)) (/ 1 z))))>
#<alt (* -1 (* x (- (/ y (* x z)) (/ 1 z))))>
#<alt (/ x z)>
#<alt (+ (* -1 (/ y z)) (/ x z))>
#<alt (+ (* -1 (/ y z)) (/ x z))>
#<alt (+ (* -1 (/ y z)) (/ x z))>
#<alt (* -1 (/ y z))>
#<alt (* y (- (/ x (* y z)) (/ 1 z)))>
#<alt (* y (- (/ x (* y z)) (/ 1 z)))>
#<alt (* y (- (/ x (* y z)) (/ 1 z)))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (* y (+ (* -1 (/ x (* y z))) (/ 1 z))))>
#<alt (* -1 (* y (+ (* -1 (/ x (* y z))) (/ 1 z))))>
#<alt (* -1 (* y (+ (* -1 (/ x (* y z))) (/ 1 z))))>
#<alt (/ (- x y) z)>
#<alt (/ (- x y) z)>
#<alt (/ (- x y) z)>
#<alt (/ (- x y) z)>
#<alt (/ (- x y) z)>
#<alt (/ (- x y) z)>
#<alt (/ (- x y) z)>
#<alt (/ (- x y) z)>
#<alt (/ (- x y) z)>
#<alt (/ (- x y) z)>
#<alt (/ (- x y) z)>
#<alt (/ (- x y) z)>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt -2>
#<alt (- (* -4 (/ y z)) 2)>
#<alt (- (* -4 (/ y z)) 2)>
#<alt (- (* -4 (/ y z)) 2)>
#<alt (* -4 (/ y z))>
#<alt (* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))>
#<alt (* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))>
#<alt (* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))>
#<alt (* -4 (/ y z))>
#<alt (* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))>
#<alt (* -4 (/ y z))>
#<alt (/ (+ (* -4 y) (* -2 z)) z)>
#<alt (/ (+ (* -4 y) (* -2 z)) z)>
#<alt (/ (+ (* -4 y) (* -2 z)) z)>
#<alt -2>
#<alt (- (* -4 (/ y z)) 2)>
#<alt (- (* -4 (/ y z)) 2)>
#<alt (- (* -4 (/ y z)) 2)>
#<alt -2>
#<alt (- (* -4 (/ y z)) 2)>
#<alt (- (* -4 (/ y z)) 2)>
#<alt (- (* -4 (/ y z)) 2)>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 y)>
#<alt (* -4 y)>
#<alt (* -4 y)>
#<alt (* -4 y)>
#<alt (* -4 y)>
#<alt (* -4 y)>
#<alt (* -4 y)>
#<alt (* -4 y)>
#<alt (* -4 y)>
#<alt (* -4 y)>
#<alt (* -4 y)>
#<alt (* -4 y)>
Calls

60 calls:

TimeVariablePointExpression
2.0ms
y
@inf
(* -4 (/ y z))
0.0ms
z
@0
(* x (/ 4 z))
0.0ms
z
@inf
(* -4 (/ y z))
0.0ms
z
@0
(* -4 (/ y z))
0.0ms
y
@0
(* -4 (/ y z))

rewrite566.0ms (8.3%)

Algorithm
1×batch-egg-rewrite
Rules
3800×*-lowering-*.f32
3800×*-lowering-*.f64
2884×/-lowering-/.f32
2884×/-lowering-/.f64
1372×fnmadd-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01646
17745
260845
3661245
0859245
Stop Event
1×iter limit
1×node limit
Counts
10 → 472
Calls
Call 1
Inputs
(* 4 (/ (- x y) z))
(/ (- x y) z)
(- x y)
(* -4 (/ y z))
(/ y z)
(* x (/ 4 z))
(/ 4 z)
(+ -2 (/ (* -4 y) z))
(/ (* -4 y) z)
(* -4 y)
Outputs
(+.f64 (/.f64 x (/.f64 z #s(literal 4 binary64))) (/.f64 (*.f64 y #s(literal -4 binary64)) z))
(+.f64 (/.f64 x (/.f64 z #s(literal 4 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y z)) #s(literal 4 binary64)))
(neg.f64 (*.f64 (/.f64 (-.f64 y x) z) #s(literal 4 binary64)))
(neg.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 y x) z)))
(neg.f64 (*.f64 (-.f64 x y) (/.f64 #s(literal -4 binary64) z)))
(neg.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) (-.f64 #s(literal 0 binary64) z)))
(neg.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 y x)) z))
(/.f64 #s(literal 4 binary64) (/.f64 z (-.f64 x y)))
(/.f64 (-.f64 x y) (/.f64 z #s(literal 4 binary64)))
(/.f64 #s(literal -4 binary64) (/.f64 z (-.f64 y x)))
(/.f64 (/.f64 #s(literal 4 binary64) z) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 (-.f64 y x) (/.f64 z #s(literal -4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (-.f64 x y)) #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 z (-.f64 x y)) #s(literal 4 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 z (-.f64 x y)) #s(literal 4 binary64))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 y x)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 z (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 z (+.f64 x y)))
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (-.f64 y x))) z)
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) #s(literal 1 binary64)) z)
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 x z) (*.f64 y z))) (*.f64 z z))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 x (-.f64 #s(literal 0 binary64) z)) (*.f64 z (-.f64 #s(literal 0 binary64) y)))) (*.f64 z (-.f64 #s(literal 0 binary64) z)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (/.f64 x (/.f64 y z)) z)) (/.f64 z (/.f64 y z)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (+.f64 (/.f64 (/.f64 x z) (/.f64 z x)) (*.f64 (/.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x y)))))
(/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x y)) (/.f64 (-.f64 x y) z))) (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x y)))
(/.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) z)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))
(/.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) z)) (+.f64 x y))
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 4 binary64) z)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 4 binary64) z)) (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 (-.f64 #s(literal 0 binary64) y) x))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 4 binary64) z)) (+.f64 x y))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 4 binary64) z)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 4 binary64) z)) (-.f64 #s(literal 0 binary64) (+.f64 x y)))
(/.f64 (*.f64 (-.f64 (*.f64 x z) (*.f64 y z)) #s(literal 4 binary64)) (*.f64 z z))
(/.f64 (*.f64 (-.f64 (*.f64 x (-.f64 #s(literal 0 binary64) z)) (*.f64 z (-.f64 #s(literal 0 binary64) y))) #s(literal 4 binary64)) (*.f64 z (-.f64 #s(literal 0 binary64) z)))
(/.f64 (*.f64 (-.f64 (/.f64 x (/.f64 y z)) z) #s(literal 4 binary64)) (/.f64 z (/.f64 y z)))
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) #s(literal 4 binary64)) (+.f64 (/.f64 (/.f64 x z) (/.f64 z x)) (*.f64 (/.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x y)))))
(/.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x y)) (/.f64 (-.f64 x y) z)) #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x y)))
(/.f64 (*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) z) #s(literal 4 binary64)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))
(/.f64 (*.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) z) #s(literal 4 binary64)) (+.f64 x y))
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) z)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 x x) (*.f64 y y))) (/.f64 #s(literal 1 binary64) z)) (+.f64 x y))
(/.f64 (/.f64 #s(literal 4 binary64) (/.f64 z (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))
(/.f64 (/.f64 #s(literal 4 binary64) (/.f64 z (-.f64 (*.f64 x x) (*.f64 y y)))) (+.f64 x y))
(/.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 y x)) #s(literal -1 binary64)) z)
(pow.f64 (/.f64 (/.f64 z (-.f64 x y)) #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(*.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) z))
(*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 y x) z))
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(*.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z))
(*.f64 (-.f64 y x) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 4 binary64)))
(*.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) (/.f64 #s(literal 4 binary64) z)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 z (-.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 4 binary64) (-.f64 x y)))
(*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 4 binary64) z)))
(*.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 #s(literal 4 binary64) (-.f64 y x)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 y x))
(*.f64 (/.f64 (-.f64 y x) #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) z))
(*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z))
(+.f64 (/.f64 (-.f64 x y) z) (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 y z)) (-.f64 #s(literal 0 binary64) (/.f64 y z))))
(+.f64 (/.f64 (-.f64 x y) z) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y z)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 y z))))
(+.f64 (/.f64 x z) (-.f64 #s(literal 0 binary64) (/.f64 y z)))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 (/.f64 x z) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 z (-.f64 x y))) #s(literal -1 binary64)))
(-.f64 (/.f64 x z) (/.f64 y z))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 y x) z))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) z)) (/.f64 (-.f64 y x) z))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) z) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) z))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x y)) z) (/.f64 (/.f64 (*.f64 y y) (+.f64 x y)) z))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 z (+.f64 x y))) (/.f64 (*.f64 y y) (*.f64 z (+.f64 x y))))
(-.f64 (/.f64 (*.f64 x z) (*.f64 z z)) (/.f64 (*.f64 y z) (*.f64 z z)))
(-.f64 (/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) z)) (*.f64 z (-.f64 #s(literal 0 binary64) z))) (/.f64 (*.f64 z (-.f64 #s(literal 0 binary64) y)) (*.f64 z (-.f64 #s(literal 0 binary64) z))))
(-.f64 (/.f64 (/.f64 x (/.f64 y z)) (/.f64 z (/.f64 y z))) (/.f64 z (/.f64 z (/.f64 y z))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) (+.f64 (/.f64 (/.f64 x z) (/.f64 z x)) (*.f64 (/.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x y))))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (+.f64 (/.f64 (/.f64 x z) (/.f64 z x)) (*.f64 (/.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x y))))))
(-.f64 (/.f64 (/.f64 (/.f64 x z) (/.f64 z x)) (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x y))) (/.f64 (/.f64 (/.f64 y z) (/.f64 z y)) (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x y))))
(fma.f64 x (/.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 0 binary64) (/.f64 y z)))
(neg.f64 (/.f64 (-.f64 y x) z))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) z)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 z (-.f64 x y))))
(/.f64 (-.f64 x y) z)
(/.f64 (-.f64 y x) (-.f64 #s(literal 0 binary64) z))
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 z (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))))
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 z (+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 (-.f64 #s(literal 0 binary64) y) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (-.f64 (*.f64 x z) (*.f64 y z))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (-.f64 #s(literal 0 binary64) z)) (-.f64 (*.f64 x (-.f64 #s(literal 0 binary64) z)) (*.f64 z (-.f64 #s(literal 0 binary64) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (/.f64 y z)) (-.f64 (/.f64 x (/.f64 y z)) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 x z) (/.f64 z x)) (*.f64 (/.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x y)))) (-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x y)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x y)) (/.f64 (-.f64 x y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))) (/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) z)))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z (+.f64 x y)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (+.f64 x y))))
(/.f64 #s(literal -1 binary64) (/.f64 z (-.f64 y x)))
(/.f64 (-.f64 (*.f64 x z) (*.f64 y z)) (*.f64 z z))
(/.f64 (-.f64 (*.f64 x (-.f64 #s(literal 0 binary64) z)) (*.f64 z (-.f64 #s(literal 0 binary64) y))) (*.f64 z (-.f64 #s(literal 0 binary64) z)))
(/.f64 (-.f64 (/.f64 x (/.f64 y z)) z) (/.f64 z (/.f64 y z)))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (neg.f64 (*.f64 z (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 z (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (neg.f64 (*.f64 z (+.f64 x y))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 x y)))
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (*.f64 z (-.f64 #s(literal 0 binary64) (+.f64 x y))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 z (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))))
(/.f64 (-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (+.f64 (/.f64 (/.f64 x z) (/.f64 z x)) (*.f64 (/.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x y)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 z (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 z (+.f64 x y)) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) (*.f64 y y))))))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x y)) (/.f64 (-.f64 x y) z)) (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x y)))
(/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 z (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))))
(/.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) z) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))
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(/.f64 (+.f64 #s(literal -512 binary64) (*.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -64 binary64)) (*.f64 z (*.f64 z z))) (*.f64 #s(literal 4096 binary64) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))))) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 y z) (-.f64 (/.f64 #s(literal 16 binary64) (/.f64 z y)) #s(literal 8 binary64)))) (+.f64 #s(literal 64 binary64) (*.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -64 binary64)) (*.f64 z (*.f64 z z))) (-.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -64 binary64)) (*.f64 z (*.f64 z z))) #s(literal -8 binary64))))))
(/.f64 (-.f64 #s(literal 64 binary64) (*.f64 #s(literal 4096 binary64) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))))) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 y z) (-.f64 (/.f64 #s(literal 16 binary64) (/.f64 z y)) #s(literal 8 binary64)))) (+.f64 #s(literal -8 binary64) (*.f64 #s(literal 64 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))))))
(/.f64 (-.f64 #s(literal 64 binary64) (*.f64 #s(literal 4096 binary64) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))))) (*.f64 (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) y) z)) (+.f64 #s(literal 16 binary64) (*.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 z z)) (+.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 z z)))))))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 z z)) #s(literal -4 binary64)) (+.f64 (/.f64 (*.f64 y #s(literal -4 binary64)) z) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 16 binary64) (*.f64 #s(literal 256 binary64) (*.f64 (/.f64 (/.f64 y z) (/.f64 z y)) (/.f64 (/.f64 y z) (/.f64 z y))))) (*.f64 (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) y) z)) (+.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 z z)))))
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) y) z))) (*.f64 (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) y) z)) (/.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 z z)))) (*.f64 (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) y) z)) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) y) z))))
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -64 binary64)) (*.f64 z (*.f64 z z)))))) (neg.f64 (+.f64 #s(literal -4 binary64) (neg.f64 (*.f64 (/.f64 y z) (-.f64 (/.f64 #s(literal 16 binary64) (/.f64 z y)) #s(literal 8 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 z z)))) (neg.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 y #s(literal -4 binary64)) z))))
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 z z)) #s(literal -4 binary64))) (neg.f64 (+.f64 (/.f64 (*.f64 y #s(literal -4 binary64)) z) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) y) z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 z z)) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) y) z))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) y) z))) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) y) z)))) (+.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 z z)) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) y) z))) (/.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 z z)) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) y) z)))) (*.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) y) z))) (/.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 z z)) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) y) z)))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) y) z))) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) y) z)))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 z z)) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) y) z))) (/.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 z z)) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) y) z))))) (+.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) y) z))) (/.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 z z)) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) y) z)))))
(/.f64 (*.f64 (+.f64 #s(literal -8 binary64) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -64 binary64)) (*.f64 z (*.f64 z z)))) #s(literal 1 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 y z) (-.f64 (/.f64 #s(literal 16 binary64) (/.f64 z y)) #s(literal 8 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 z z))) #s(literal 1 binary64)) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) y) z)))
(/.f64 (*.f64 (+.f64 #s(literal -512 binary64) (*.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -64 binary64)) (*.f64 z (*.f64 z z))) (*.f64 #s(literal 4096 binary64) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 y z) (-.f64 (/.f64 #s(literal 16 binary64) (/.f64 z y)) #s(literal 8 binary64)))))) (+.f64 #s(literal 64 binary64) (*.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -64 binary64)) (*.f64 z (*.f64 z z))) (-.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -64 binary64)) (*.f64 z (*.f64 z z))) #s(literal -8 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 64 binary64) (*.f64 #s(literal 4096 binary64) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 y z) (-.f64 (/.f64 #s(literal 16 binary64) (/.f64 z y)) #s(literal 8 binary64)))))) (+.f64 #s(literal -8 binary64) (*.f64 #s(literal 64 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))))
(/.f64 (*.f64 (-.f64 #s(literal 64 binary64) (*.f64 #s(literal 4096 binary64) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) y) z)))) (+.f64 #s(literal 16 binary64) (*.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 z z)) (+.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 z z))))))
(/.f64 (*.f64 (-.f64 #s(literal 16 binary64) (*.f64 #s(literal 256 binary64) (*.f64 (/.f64 (/.f64 y z) (/.f64 z y)) (/.f64 (/.f64 y z) (/.f64 z y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) y) z)))) (+.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 z z))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 y #s(literal -4 binary64)) z))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal -8 binary64) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -64 binary64)) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 y z) (-.f64 (/.f64 #s(literal 16 binary64) (/.f64 z y)) #s(literal 8 binary64))))))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 y #s(literal -4 binary64)) z)))
(*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) y) z))))
(*.f64 (+.f64 #s(literal 8 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -64 binary64)) (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (neg.f64 (*.f64 (/.f64 y z) (-.f64 (/.f64 #s(literal 16 binary64) (/.f64 z y)) #s(literal 8 binary64)))))))
(*.f64 (+.f64 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 y #s(literal -4 binary64)) z))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 y z) (-.f64 (/.f64 #s(literal 16 binary64) (/.f64 z y)) #s(literal 8 binary64))))) (+.f64 #s(literal -8 binary64) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -64 binary64)) (*.f64 z (*.f64 z z)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) y) z))) (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 z z))))
(*.f64 (+.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 z z)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 y #s(literal -4 binary64)) z) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 z z))) (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 z z)))) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 y #s(literal -4 binary64)) z)))
(*.f64 (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -64 binary64)) (*.f64 z (*.f64 z z)))) (+.f64 #s(literal 64 binary64) (*.f64 (*.f64 (/.f64 y z) (-.f64 (/.f64 #s(literal 16 binary64) (/.f64 z y)) #s(literal 8 binary64))) (*.f64 (*.f64 (/.f64 y z) (-.f64 (/.f64 #s(literal 16 binary64) (/.f64 z y)) #s(literal 8 binary64))) (*.f64 (/.f64 y z) (-.f64 (/.f64 #s(literal 16 binary64) (/.f64 z y)) #s(literal 8 binary64))))))) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 (/.f64 y z) (-.f64 (/.f64 #s(literal 16 binary64) (/.f64 z y)) #s(literal 8 binary64))) (-.f64 (*.f64 (/.f64 y z) (-.f64 (/.f64 #s(literal 16 binary64) (/.f64 z y)) #s(literal 8 binary64))) #s(literal 4 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -64 binary64)) (*.f64 z (*.f64 z z)))) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (/.f64 y z) (-.f64 (/.f64 #s(literal 16 binary64) (/.f64 z y)) #s(literal 8 binary64))) (*.f64 (/.f64 y z) (-.f64 (/.f64 #s(literal 16 binary64) (/.f64 z y)) #s(literal 8 binary64)))))) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 y z) (-.f64 (/.f64 #s(literal 16 binary64) (/.f64 z y)) #s(literal 8 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 z z))) (+.f64 #s(literal -8 binary64) (*.f64 #s(literal 64 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))))) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 y z) (+.f64 (/.f64 #s(literal 16 binary64) (/.f64 z y)) #s(literal 8 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 z (*.f64 y #s(literal -4 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal 4 binary64) y) z))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) z)) (/.f64 (*.f64 #s(literal 4 binary64) y) z))
(neg.f64 (/.f64 (*.f64 #s(literal 4 binary64) y) z))
(neg.f64 (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) y) z) #s(literal 1 binary64)))
(/.f64 #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z y)))
(/.f64 #s(literal -4 binary64) (/.f64 z y))
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(/.f64 (*.f64 #s(literal 4 binary64) y) (-.f64 #s(literal 0 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y #s(literal -4 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -1/4 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 z (*.f64 #s(literal 4 binary64) y)))
(/.f64 (/.f64 #s(literal -4 binary64) z) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 (*.f64 #s(literal 4 binary64) y) #s(literal -1 binary64)) z)
(pow.f64 (/.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y z)))
(*.f64 y (/.f64 #s(literal -4 binary64) z))
(*.f64 y (*.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) z)))
(*.f64 y (*.f64 (/.f64 #s(literal -4 binary64) z) #s(literal 1 binary64)))
(*.f64 #s(literal -4 binary64) (/.f64 y z))
(*.f64 (/.f64 y z) #s(literal -4 binary64))
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 #s(literal 0 binary64) y))
(*.f64 (*.f64 y #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (*.f64 y #s(literal -4 binary64)) z) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 4 binary64) z))
(*.f64 (*.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -1 binary64) z))
(*.f64 (*.f64 #s(literal 4 binary64) y) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal -4 binary64)) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y #s(literal -4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal -1/4 binary64) y) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) y) z))
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 #s(literal 4 binary64) y))
(*.f64 (/.f64 #s(literal -4 binary64) z) y)
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) z))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) z))
(*.f64 (pow.f64 (/.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) y))
(neg.f64 (*.f64 #s(literal 4 binary64) y))
(*.f64 #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) y))
(*.f64 y #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) y)
(*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 4 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y #s(literal -4 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) y))

simplify218.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
2300×*-lowering-*.f32
2300×*-lowering-*.f64
1778×fma-lowering-fma.f32
1778×fma-lowering-fma.f64
1716×fnmsub-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0811290
12551200
28031110
325321110
463261110
085631110
Stop Event
1×iter limit
1×node limit
Counts
240 → 240
Calls
Call 1
Inputs
(* -4 (/ y z))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(* 4 (/ x z))
(* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))
(* 4 (/ x z))
(* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))
(* 4 (/ x z))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(* -4 (/ y z))
(* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))
(* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))
(* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))
(* -4 (/ y z))
(* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* -1 (/ y z))
(+ (* -1 (/ y z)) (/ x z))
(+ (* -1 (/ y z)) (/ x z))
(+ (* -1 (/ y z)) (/ x z))
(/ x z)
(* x (+ (* -1 (/ y (* x z))) (/ 1 z)))
(* x (+ (* -1 (/ y (* x z))) (/ 1 z)))
(* x (+ (* -1 (/ y (* x z))) (/ 1 z)))
(/ x z)
(* -1 (* x (- (/ y (* x z)) (/ 1 z))))
(* -1 (* x (- (/ y (* x z)) (/ 1 z))))
(* -1 (* x (- (/ y (* x z)) (/ 1 z))))
(/ x z)
(+ (* -1 (/ y z)) (/ x z))
(+ (* -1 (/ y z)) (/ x z))
(+ (* -1 (/ y z)) (/ x z))
(* -1 (/ y z))
(* y (- (/ x (* y z)) (/ 1 z)))
(* y (- (/ x (* y z)) (/ 1 z)))
(* y (- (/ x (* y z)) (/ 1 z)))
(* -1 (/ y z))
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ 1 z))))
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ 1 z))))
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ 1 z))))
(/ (- x y) z)
(/ (- x y) z)
(/ (- x y) z)
(/ (- x y) z)
(/ (- x y) z)
(/ (- x y) z)
(/ (- x y) z)
(/ (- x y) z)
(/ (- x y) z)
(/ (- x y) z)
(/ (- x y) z)
(/ (- x y) z)
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
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(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(/ 4 z)
(/ 4 z)
(/ 4 z)
(/ 4 z)
(/ 4 z)
(/ 4 z)
(/ 4 z)
(/ 4 z)
(/ 4 z)
(/ 4 z)
(/ 4 z)
(/ 4 z)
-2
(- (* -4 (/ y z)) 2)
(- (* -4 (/ y z)) 2)
(- (* -4 (/ y z)) 2)
(* -4 (/ y z))
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* -4 (/ y z))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(* -4 (/ y z))
(/ (+ (* -4 y) (* -2 z)) z)
(/ (+ (* -4 y) (* -2 z)) z)
(/ (+ (* -4 y) (* -2 z)) z)
-2
(- (* -4 (/ y z)) 2)
(- (* -4 (/ y z)) 2)
(- (* -4 (/ y z)) 2)
-2
(- (* -4 (/ y z)) 2)
(- (* -4 (/ y z)) 2)
(- (* -4 (/ y z)) 2)
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
Outputs
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* -1 (/ y z))
(-.f64 #s(literal 0 binary64) (/.f64 y z))
(+ (* -1 (/ y z)) (/ x z))
(/.f64 (-.f64 x y) z)
(+ (* -1 (/ y z)) (/ x z))
(/.f64 (-.f64 x y) z)
(+ (* -1 (/ y z)) (/ x z))
(/.f64 (-.f64 x y) z)
(/ x z)
(/.f64 x z)
(* x (+ (* -1 (/ y (* x z))) (/ 1 z)))
(/.f64 (-.f64 x y) z)
(* x (+ (* -1 (/ y (* x z))) (/ 1 z)))
(/.f64 (-.f64 x y) z)
(* x (+ (* -1 (/ y (* x z))) (/ 1 z)))
(/.f64 (-.f64 x y) z)
(/ x z)
(/.f64 x z)
(* -1 (* x (- (/ y (* x z)) (/ 1 z))))
(/.f64 (-.f64 x y) z)
(* -1 (* x (- (/ y (* x z)) (/ 1 z))))
(/.f64 (-.f64 x y) z)
(* -1 (* x (- (/ y (* x z)) (/ 1 z))))
(/.f64 (-.f64 x y) z)
(/ x z)
(/.f64 x z)
(+ (* -1 (/ y z)) (/ x z))
(/.f64 (-.f64 x y) z)
(+ (* -1 (/ y z)) (/ x z))
(/.f64 (-.f64 x y) z)
(+ (* -1 (/ y z)) (/ x z))
(/.f64 (-.f64 x y) z)
(* -1 (/ y z))
(-.f64 #s(literal 0 binary64) (/.f64 y z))
(* y (- (/ x (* y z)) (/ 1 z)))
(/.f64 (-.f64 x y) z)
(* y (- (/ x (* y z)) (/ 1 z)))
(/.f64 (-.f64 x y) z)
(* y (- (/ x (* y z)) (/ 1 z)))
(/.f64 (-.f64 x y) z)
(* -1 (/ y z))
(-.f64 #s(literal 0 binary64) (/.f64 y z))
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ 1 z))))
(/.f64 (-.f64 x y) z)
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ 1 z))))
(/.f64 (-.f64 x y) z)
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ 1 z))))
(/.f64 (-.f64 x y) z)
(/ (- x y) z)
(/.f64 (-.f64 x y) z)
(/ (- x y) z)
(/.f64 (-.f64 x y) z)
(/ (- x y) z)
(/.f64 (-.f64 x y) z)
(/ (- x y) z)
(/.f64 (-.f64 x y) z)
(/ (- x y) z)
(/.f64 (-.f64 x y) z)
(/ (- x y) z)
(/.f64 (-.f64 x y) z)
(/ (- x y) z)
(/.f64 (-.f64 x y) z)
(/ (- x y) z)
(/.f64 (-.f64 x y) z)
(/ (- x y) z)
(/.f64 (-.f64 x y) z)
(/ (- x y) z)
(/.f64 (-.f64 x y) z)
(/ (- x y) z)
(/.f64 (-.f64 x y) z)
(/ (- x y) z)
(/.f64 (-.f64 x y) z)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
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(/ y z)
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(/ y z)
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(/ y z)
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(/ y z)
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(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
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(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
-2
#s(literal -2 binary64)
(- (* -4 (/ y z)) 2)
(+.f64 (/.f64 (*.f64 #s(literal -4 binary64) y) z) #s(literal -2 binary64))
(- (* -4 (/ y z)) 2)
(+.f64 (/.f64 (*.f64 #s(literal -4 binary64) y) z) #s(literal -2 binary64))
(- (* -4 (/ y z)) 2)
(+.f64 (/.f64 (*.f64 #s(literal -4 binary64) y) z) #s(literal -2 binary64))
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(+.f64 (/.f64 (*.f64 #s(literal -4 binary64) y) z) #s(literal -2 binary64))
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(+.f64 (/.f64 (*.f64 #s(literal -4 binary64) y) z) #s(literal -2 binary64))
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(+.f64 (/.f64 (*.f64 #s(literal -4 binary64) y) z) #s(literal -2 binary64))
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(+.f64 (/.f64 (*.f64 #s(literal -4 binary64) y) z) #s(literal -2 binary64))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(+.f64 (/.f64 (*.f64 #s(literal -4 binary64) y) z) #s(literal -2 binary64))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(+.f64 (/.f64 (*.f64 #s(literal -4 binary64) y) z) #s(literal -2 binary64))
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(/ (+ (* -4 y) (* -2 z)) z)
(/.f64 (+.f64 (*.f64 #s(literal -4 binary64) y) (*.f64 z #s(literal -2 binary64))) z)
(/ (+ (* -4 y) (* -2 z)) z)
(/.f64 (+.f64 (*.f64 #s(literal -4 binary64) y) (*.f64 z #s(literal -2 binary64))) z)
(/ (+ (* -4 y) (* -2 z)) z)
(/.f64 (+.f64 (*.f64 #s(literal -4 binary64) y) (*.f64 z #s(literal -2 binary64))) z)
-2
#s(literal -2 binary64)
(- (* -4 (/ y z)) 2)
(+.f64 (/.f64 (*.f64 #s(literal -4 binary64) y) z) #s(literal -2 binary64))
(- (* -4 (/ y z)) 2)
(+.f64 (/.f64 (*.f64 #s(literal -4 binary64) y) z) #s(literal -2 binary64))
(- (* -4 (/ y z)) 2)
(+.f64 (/.f64 (*.f64 #s(literal -4 binary64) y) z) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(- (* -4 (/ y z)) 2)
(+.f64 (/.f64 (*.f64 #s(literal -4 binary64) y) z) #s(literal -2 binary64))
(- (* -4 (/ y z)) 2)
(+.f64 (/.f64 (*.f64 #s(literal -4 binary64) y) z) #s(literal -2 binary64))
(- (* -4 (/ y z)) 2)
(+.f64 (/.f64 (*.f64 #s(literal -4 binary64) y) z) #s(literal -2 binary64))
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
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(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
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(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* -4 y)
(*.f64 #s(literal -4 binary64) y)

eval115.0ms (1.7%)

Compiler

Compiled 10244 to 1298 computations (87.3% saved)

prune90.0ms (1.3%)

Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New7102712
Fresh011
Picked145
Done011
Total7118719
Accuracy
100.0%
Counts
719 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶38.7%
(/.f64 x (/.f64 z #s(literal 4 binary64)))
▶36.3%
(/.f64 #s(literal -4 binary64) (/.f64 z y))
▶67.2%
(+.f64 (*.f64 x (/.f64 #s(literal 4 binary64) z)) #s(literal -2 binary64))
✓99.6%
(+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z))
✓64.8%
(+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) y) z))
✓70.7%
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
✓36.4%
(*.f64 #s(literal -4 binary64) (/.f64 y z))
✓31.0%
#s(literal -2 binary64)
Compiler

Compiled 70 to 54 computations (22.9% saved)

simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 z #s(literal 4 binary64))
✓cost-diff0
(/.f64 x (/.f64 z #s(literal 4 binary64)))
✓cost-diff0
(/.f64 z y)
✓cost-diff0
(/.f64 #s(literal -4 binary64) (/.f64 z y))
✓cost-diff0
(/.f64 #s(literal 4 binary64) z)
✓cost-diff0
(*.f64 x (/.f64 #s(literal 4 binary64) z))
✓cost-diff0
(+.f64 (*.f64 x (/.f64 #s(literal 4 binary64) z)) #s(literal -2 binary64))
Rules
24×*-lowering-*.f32
24×*-lowering-*.f64
20×/-lowering-/.f32
20×/-lowering-/.f64
12×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01340
12240
22940
33540
43640
03640
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (* x (/ 4 z)) -2)
(* x (/ 4 z))
x
(/ 4 z)
4
z
-2
(/ -4 (/ z y))
-4
(/ z y)
z
y
(/ x (/ z 4))
x
(/ z 4)
z
4
Outputs
(+ (* x (/ 4 z)) -2)
(+.f64 (/.f64 x (/.f64 z #s(literal 4 binary64))) #s(literal -2 binary64))
(* x (/ 4 z))
(/.f64 x (/.f64 z #s(literal 4 binary64)))
x
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
4
#s(literal 4 binary64)
z
-2
#s(literal -2 binary64)
(/ -4 (/ z y))
(*.f64 y (/.f64 #s(literal -4 binary64) z))
-4
#s(literal -4 binary64)
(/ z y)
(/.f64 z y)
z
y
(/ x (/ z 4))
(/.f64 x (/.f64 z #s(literal 4 binary64)))
x
(/ z 4)
(/.f64 z #s(literal 4 binary64))
z
4
#s(literal 4 binary64)

localize48.0ms (0.7%)

Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 z #s(literal 4 binary64))
✓accuracy100.0%
(/.f64 x (/.f64 z #s(literal 4 binary64)))
✓accuracy100.0%
(/.f64 z y)
✓accuracy99.1%
(/.f64 #s(literal -4 binary64) (/.f64 z y))
✓accuracy100.0%
(/.f64 #s(literal 4 binary64) z)
✓accuracy100.0%
(+.f64 (*.f64 x (/.f64 #s(literal 4 binary64) z)) #s(literal -2 binary64))
✓accuracy99.6%
(*.f64 x (/.f64 #s(literal 4 binary64) z))
Results
35.0ms256×0valid
Compiler

Compiled 45 to 14 computations (68.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-div: 9.0ms (64.6% of total)
ival-add: 2.0ms (14.4% of total)
ival-mult: 2.0ms (14.4% of total)
const: 1.0ms (7.2% of total)
backward-pass: 1.0ms (7.2% of total)

series7.0ms (0.1%)

Counts
7 → 144
Calls
Call 1
Inputs
#<alt (+ (* x (/ 4 z)) -2)>
#<alt (* x (/ 4 z))>
#<alt (/ 4 z)>
#<alt (/ -4 (/ z y))>
#<alt (/ z y)>
#<alt (/ x (/ z 4))>
#<alt (/ z 4)>
Outputs
#<alt -2>
#<alt (- (* 4 (/ x z)) 2)>
#<alt (- (* 4 (/ x z)) 2)>
#<alt (- (* 4 (/ x z)) 2)>
#<alt (* 4 (/ x z))>
#<alt (* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))>
#<alt (* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))>
#<alt (* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))>
#<alt (* 4 (/ x z))>
#<alt (* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))>
#<alt (* 4 (/ x z))>
#<alt (/ (+ (* -2 z) (* 4 x)) z)>
#<alt (/ (+ (* -2 z) (* 4 x)) z)>
#<alt (/ (+ (* -2 z) (* 4 x)) z)>
#<alt -2>
#<alt (- (* 4 (/ x z)) 2)>
#<alt (- (* 4 (/ x z)) 2)>
#<alt (- (* 4 (/ x z)) 2)>
#<alt -2>
#<alt (- (* 4 (/ x z)) 2)>
#<alt (- (* 4 (/ x z)) 2)>
#<alt (- (* 4 (/ x z)) 2)>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (/ 4 z)>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (* -4 (/ y z))>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 1/4 z)>
#<alt (* 1/4 z)>
#<alt (* 1/4 z)>
#<alt (* 1/4 z)>
#<alt (* 1/4 z)>
#<alt (* 1/4 z)>
#<alt (* 1/4 z)>
#<alt (* 1/4 z)>
#<alt (* 1/4 z)>
#<alt (* 1/4 z)>
#<alt (* 1/4 z)>
#<alt (* 1/4 z)>
Calls

36 calls:

TimeVariablePointExpression
3.0ms
y
@-inf
(/ z y)
0.0ms
z
@-inf
(/ z y)
0.0ms
z
@0
(/ z y)
0.0ms
y
@0
(/ z y)
0.0ms
z
@inf
(/ z 4)

rewrite332.0ms (4.9%)

Algorithm
1×batch-egg-rewrite
Rules
3766×*-lowering-*.f32
3766×*-lowering-*.f64
2286×/-lowering-/.f32
2286×/-lowering-/.f64
1108×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01330
16630
246730
3542030
0811930
Stop Event
1×iter limit
1×node limit
Counts
7 → 323
Calls
Call 1
Inputs
(+ (* x (/ 4 z)) -2)
(* x (/ 4 z))
(/ 4 z)
(/ -4 (/ z y))
(/ z y)
(/ x (/ z 4))
(/ z 4)
Outputs
(+.f64 (/.f64 x (/.f64 z #s(literal 4 binary64))) #s(literal -2 binary64))
(+.f64 #s(literal -2 binary64) (/.f64 x (/.f64 z #s(literal 4 binary64))))
(+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 (+.f64 (/.f64 x (/.f64 z #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 z z))) (neg.f64 (/.f64 #s(literal -4 binary64) (+.f64 (/.f64 x (/.f64 z #s(literal -4 binary64))) #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (/.f64 z #s(literal 4 binary64))) #s(literal -2 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal -2 binary64) (/.f64 x (/.f64 z #s(literal -4 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 (+.f64 (/.f64 x (/.f64 z #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 z z))) (/.f64 #s(literal -4 binary64) (+.f64 (/.f64 x (/.f64 z #s(literal -4 binary64))) #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal -2 binary64) (/.f64 x (/.f64 z #s(literal -4 binary64))))) (/.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 z z) #s(literal 1/16 binary64))) (+.f64 #s(literal -2 binary64) (/.f64 x (/.f64 z #s(literal -4 binary64))))))
(fma.f64 x (/.f64 #s(literal 4 binary64) z) #s(literal -2 binary64))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z #s(literal 4 binary64))) #s(literal -2 binary64))
(fma.f64 (*.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))
(fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))
(fma.f64 (/.f64 x (-.f64 #s(literal 0 binary64) z)) #s(literal -4 binary64) #s(literal -2 binary64))
(neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 z (*.f64 z z)) #s(literal 64 binary64))) #s(literal -8 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 x z) (-.f64 (*.f64 #s(literal 16 binary64) (/.f64 x z)) #s(literal -8 binary64)))))))
(neg.f64 (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 (*.f64 x x) (*.f64 (*.f64 z z) #s(literal 1/16 binary64)))) (+.f64 (/.f64 x (/.f64 z #s(literal -4 binary64))) #s(literal -2 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 z (*.f64 z z)) #s(literal 64 binary64))) #s(literal -8 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 x z) (-.f64 (*.f64 #s(literal 16 binary64) (/.f64 x z)) #s(literal -8 binary64))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -4 binary64) (/.f64 (*.f64 x x) (*.f64 (*.f64 z z) #s(literal 1/16 binary64))))) (+.f64 (/.f64 x (/.f64 z #s(literal 4 binary64))) #s(literal 2 binary64))))
(/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 z (*.f64 z z)) #s(literal 64 binary64))) #s(literal -8 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 x z) (-.f64 (*.f64 #s(literal 16 binary64) (/.f64 x z)) #s(literal -8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (/.f64 z #s(literal 4 binary64))) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (/.f64 z #s(literal 4 binary64))) #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 x (/.f64 z #s(literal -4 binary64)))) (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 x x) (*.f64 (*.f64 z z) #s(literal 1/16 binary64))))))
(/.f64 (+.f64 #s(literal -4 binary64) (/.f64 (*.f64 x x) (*.f64 (*.f64 z z) #s(literal 1/16 binary64)))) (+.f64 (/.f64 x (/.f64 z #s(literal 4 binary64))) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (/.f64 z #s(literal 4 binary64))) #s(literal -2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 z (*.f64 z z)) #s(literal 64 binary64))) #s(literal -8 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 x z) (-.f64 (*.f64 #s(literal 16 binary64) (/.f64 x z)) #s(literal -8 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -4 binary64) (/.f64 (*.f64 x x) (*.f64 (*.f64 z z) #s(literal 1/16 binary64))))) (+.f64 (/.f64 x (/.f64 z #s(literal -4 binary64))) #s(literal -2 binary64)))
(/.f64 (+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 z (*.f64 z z)) #s(literal 64 binary64))) (*.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z)))) #s(literal 4096 binary64))) #s(literal -512 binary64)) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 x z) (-.f64 (*.f64 #s(literal 16 binary64) (/.f64 x z)) #s(literal -8 binary64)))) (+.f64 (*.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z)))) #s(literal 4096 binary64)) (-.f64 #s(literal 64 binary64) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) #s(literal -512 binary64))))))
(/.f64 (+.f64 (*.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z)))) #s(literal 4096 binary64)) #s(literal -64 binary64)) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 x z) (-.f64 (*.f64 #s(literal 16 binary64) (/.f64 x z)) #s(literal -8 binary64)))) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 z (*.f64 z z)) #s(literal 64 binary64))) #s(literal 8 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z)))) #s(literal 4096 binary64)) #s(literal -64 binary64)) (*.f64 (+.f64 (/.f64 x (/.f64 z #s(literal 4 binary64))) #s(literal 2 binary64)) (+.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) (/.f64 z x)) (/.f64 (/.f64 x z) (/.f64 z x))) #s(literal 256 binary64)) (+.f64 #s(literal 16 binary64) (*.f64 (/.f64 (/.f64 x z) (/.f64 z x)) #s(literal 64 binary64))))))
(/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 x x) (*.f64 (*.f64 z z) #s(literal 1/16 binary64)))) (+.f64 #s(literal -2 binary64) (/.f64 x (/.f64 z #s(literal -4 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 (/.f64 (/.f64 x z) (/.f64 z x)) (/.f64 (/.f64 x z) (/.f64 z x))) #s(literal 256 binary64)) #s(literal -16 binary64)) (*.f64 (+.f64 (/.f64 x (/.f64 z #s(literal 4 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (/.f64 (*.f64 x x) (*.f64 (*.f64 z z) #s(literal 1/16 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 z z) #s(literal 1/16 binary64))) (+.f64 (/.f64 x (/.f64 z #s(literal 4 binary64))) #s(literal 2 binary64))) (*.f64 (+.f64 (/.f64 x (/.f64 z #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (+.f64 (/.f64 x (/.f64 z #s(literal 4 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 x (/.f64 z #s(literal 4 binary64))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 z (*.f64 z z)) #s(literal 64 binary64))) #s(literal -8 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 x z) (-.f64 (*.f64 #s(literal 16 binary64) (/.f64 x z)) #s(literal -8 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -4 binary64) (/.f64 (*.f64 x x) (*.f64 (*.f64 z z) #s(literal 1/16 binary64)))))) (neg.f64 (+.f64 (/.f64 x (/.f64 z #s(literal -4 binary64))) #s(literal -2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 x x) (*.f64 (*.f64 z z) #s(literal 1/16 binary64))))) (neg.f64 (+.f64 #s(literal -2 binary64) (/.f64 x (/.f64 z #s(literal -4 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 (+.f64 (/.f64 x (/.f64 z #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 z z))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (+.f64 (/.f64 x (/.f64 z #s(literal -4 binary64))) #s(literal -2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 (+.f64 (/.f64 x (/.f64 z #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 z z))) (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 (+.f64 (/.f64 x (/.f64 z #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 z z)))) (+.f64 (*.f64 (/.f64 #s(literal -4 binary64) (+.f64 (/.f64 x (/.f64 z #s(literal -4 binary64))) #s(literal -2 binary64))) (/.f64 #s(literal -4 binary64) (+.f64 (/.f64 x (/.f64 z #s(literal -4 binary64))) #s(literal -2 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 (+.f64 (/.f64 x (/.f64 z #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 z z))) (/.f64 #s(literal -4 binary64) (+.f64 (/.f64 x (/.f64 z #s(literal -4 binary64))) #s(literal -2 binary64)))))))
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(pow.f64 (pow.f64 (/.f64 y (/.f64 z #s(literal -4 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 z (*.f64 #s(literal -4 binary64) y)) (/.f64 z (*.f64 #s(literal -4 binary64) y))) #s(literal -1/2 binary64))
(*.f64 #s(literal 4 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) z)))
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 #s(literal 0 binary64) y))
(*.f64 #s(literal -4 binary64) (/.f64 y z))
(*.f64 y (/.f64 #s(literal -4 binary64) z))
(*.f64 (/.f64 y (/.f64 z #s(literal -4 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 4 binary64) z))
(*.f64 #s(literal 1 binary64) (/.f64 y (/.f64 z #s(literal -4 binary64))))
(*.f64 (/.f64 y z) #s(literal -4 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal -4 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) y)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (/.f64 #s(literal -4 binary64) z) y)
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 4 binary64) z) y))
(*.f64 (/.f64 y (-.f64 #s(literal 0 binary64) z)) #s(literal 4 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 #s(literal 4 binary64) y))
(*.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 #s(literal 1 binary64) z))
(*.f64 (pow.f64 (/.f64 y (/.f64 z #s(literal -4 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 y (/.f64 z #s(literal -4 binary64))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -4 binary64) z) #s(literal 1 binary64)) y)
(*.f64 (*.f64 (/.f64 #s(literal 4 binary64) z) #s(literal -1 binary64)) y)
(exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 z (-.f64 #s(literal 0 binary64) y)))
(neg.f64 (/.f64 z (-.f64 #s(literal 0 binary64) y)))
(neg.f64 (/.f64 (/.f64 z (-.f64 #s(literal 0 binary64) y)) #s(literal 1 binary64)))
(/.f64 z y)
(/.f64 (/.f64 z y) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (/.f64 z (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 y z))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) z)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) y))
(pow.f64 (/.f64 z y) #s(literal 1 binary64))
(pow.f64 (/.f64 y z) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 z y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 y z) (/.f64 y z)) #s(literal -1/2 binary64))
(*.f64 z (/.f64 #s(literal 1 binary64) y))
(*.f64 z (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 (/.f64 z y) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 #s(literal -1 binary64) y))
(*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 z y))
(*.f64 (/.f64 #s(literal 1 binary64) y) z)
(*.f64 #s(literal -1 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) y)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (/.f64 z y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 z y) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)) (/.f64 #s(literal -1 binary64) y))
(exp.f64 (*.f64 (log.f64 (/.f64 z (*.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 z #s(literal 4 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 z (*.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z #s(literal -4 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 z #s(literal -4 binary64))) (/.f64 x (/.f64 z #s(literal -4 binary64))))
(neg.f64 (/.f64 x (/.f64 z #s(literal -4 binary64))))
(neg.f64 (*.f64 (/.f64 x (/.f64 z #s(literal -4 binary64))) #s(literal 1 binary64)))
(/.f64 x (/.f64 z #s(literal 4 binary64)))
(/.f64 #s(literal 4 binary64) (/.f64 z x))
(/.f64 (/.f64 #s(literal 4 binary64) z) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 x (/.f64 z #s(literal 4 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 z #s(literal -4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x #s(literal 4 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1/4 binary64) x))
(/.f64 (*.f64 x #s(literal 4 binary64)) z)
(/.f64 (/.f64 x z) #s(literal 1/4 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x #s(literal -4 binary64))))
(/.f64 (*.f64 x #s(literal -4 binary64)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (/.f64 x (-.f64 #s(literal 0 binary64) z)) #s(literal -1/4 binary64))
(/.f64 (neg.f64 (*.f64 x #s(literal -4 binary64))) z)
(/.f64 (/.f64 x #s(literal 1/4 binary64)) z)
(/.f64 (/.f64 x #s(literal -1/4 binary64)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -4 binary64)) z)
(/.f64 (*.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 (/.f64 x z) #s(literal 1 binary64)) #s(literal 1/4 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4 binary64))) (-.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (/.f64 (*.f64 x #s(literal -4 binary64)) #s(literal -1 binary64)) z)
(pow.f64 (/.f64 x (/.f64 z #s(literal 4 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 z (*.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 1/16 binary64)) x) x) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 x (/.f64 z #s(literal 4 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 x (/.f64 #s(literal 4 binary64) z))
(*.f64 #s(literal 4 binary64) (/.f64 x z))
(*.f64 #s(literal 4 binary64) (*.f64 (/.f64 x z) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) z) x)
(*.f64 (/.f64 x (/.f64 z #s(literal 4 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -4 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) z)))
(*.f64 #s(literal -4 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) x))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -4 binary64) z))
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 #s(literal -4 binary64) z) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z #s(literal 4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x #s(literal 4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) x)))
(*.f64 (*.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 x z) #s(literal 4 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 x (/.f64 z #s(literal -4 binary64))))
(*.f64 (*.f64 x #s(literal -4 binary64)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 x #s(literal -4 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x #s(literal -1/4 binary64)))
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) z)) #s(literal -4 binary64))
(*.f64 (/.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 x #s(literal -1/4 binary64)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) z))
(*.f64 (pow.f64 (/.f64 x (/.f64 z #s(literal 4 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x (/.f64 z #s(literal 4 binary64))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) z))) #s(literal -4 binary64))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal -4 binary64) z))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 4 binary64) z)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 #s(literal 4 binary64) z)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 z #s(literal -4 binary64)))
(neg.f64 (/.f64 z #s(literal -4 binary64)))
(neg.f64 (/.f64 (/.f64 z #s(literal -4 binary64)) #s(literal 1 binary64)))
(/.f64 z #s(literal 4 binary64))
(/.f64 (/.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) z) #s(literal -4 binary64))
(/.f64 (/.f64 z #s(literal -4 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) z))
(/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) z))
(/.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1 binary64) z))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) #s(literal -4 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)) #s(literal -4 binary64))
(pow.f64 (/.f64 #s(literal 4 binary64) z) #s(literal -1 binary64))
(pow.f64 (/.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 4 binary64) z) (/.f64 z #s(literal 4 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 4 binary64) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 z #s(literal 1/4 binary64))
(*.f64 (/.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) z) #s(literal -1/4 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 1/4 binary64) z)
(*.f64 #s(literal -1 binary64) (/.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal -1/4 binary64) (-.f64 #s(literal 0 binary64) z))
(*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)))
(*.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) #s(literal -1/4 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) z) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)) #s(literal -1/4 binary64))

simplify178.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
2022×fnmadd-define
1810×fma-define
1146×fmsub-define
988×fma-lowering-fma.f32
988×fma-lowering-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031630
173630
2145630
3341630
4859630
51499630
63125630
74628630
85815630
96183630
106290630
116666630
126742630
136774630
06774630
Stop Event
1×iter limit
1×saturated
Counts
144 → 144
Calls
Call 1
Inputs
-2
(- (* 4 (/ x z)) 2)
(- (* 4 (/ x z)) 2)
(- (* 4 (/ x z)) 2)
(* 4 (/ x z))
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))
(* 4 (/ x z))
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))
(* 4 (/ x z))
(/ (+ (* -2 z) (* 4 x)) z)
(/ (+ (* -2 z) (* 4 x)) z)
(/ (+ (* -2 z) (* 4 x)) z)
-2
(- (* 4 (/ x z)) 2)
(- (* 4 (/ x z)) 2)
(- (* 4 (/ x z)) 2)
-2
(- (* 4 (/ x z)) 2)
(- (* 4 (/ x z)) 2)
(- (* 4 (/ x z)) 2)
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(/ 4 z)
(/ 4 z)
(/ 4 z)
(/ 4 z)
(/ 4 z)
(/ 4 z)
(/ 4 z)
(/ 4 z)
(/ 4 z)
(/ 4 z)
(/ 4 z)
(/ 4 z)
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 1/4 z)
(* 1/4 z)
(* 1/4 z)
(* 1/4 z)
(* 1/4 z)
(* 1/4 z)
(* 1/4 z)
(* 1/4 z)
(* 1/4 z)
(* 1/4 z)
(* 1/4 z)
(* 1/4 z)
Outputs
-2
#s(literal -2 binary64)
(- (* 4 (/ x z)) 2)
(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) z) #s(literal -2 binary64))
(- (* 4 (/ x z)) 2)
(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) z) #s(literal -2 binary64))
(- (* 4 (/ x z)) 2)
(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) z) #s(literal -2 binary64))
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))
(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) z) #s(literal -2 binary64))
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))
(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) z) #s(literal -2 binary64))
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))
(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) z) #s(literal -2 binary64))
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))
(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) z) #s(literal -2 binary64))
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))
(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) z) #s(literal -2 binary64))
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))
(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) z) #s(literal -2 binary64))
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(/ (+ (* -2 z) (* 4 x)) z)
(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) z) #s(literal -2 binary64))
(/ (+ (* -2 z) (* 4 x)) z)
(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) z) #s(literal -2 binary64))
(/ (+ (* -2 z) (* 4 x)) z)
(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) z) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(- (* 4 (/ x z)) 2)
(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) z) #s(literal -2 binary64))
(- (* 4 (/ x z)) 2)
(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) z) #s(literal -2 binary64))
(- (* 4 (/ x z)) 2)
(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) z) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(- (* 4 (/ x z)) 2)
(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) z) #s(literal -2 binary64))
(- (* 4 (/ x z)) 2)
(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) z) #s(literal -2 binary64))
(- (* 4 (/ x z)) 2)
(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) z) #s(literal -2 binary64))
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 1/4 z)
(*.f64 z #s(literal 1/4 binary64))
(* 1/4 z)
(*.f64 z #s(literal 1/4 binary64))
(* 1/4 z)
(*.f64 z #s(literal 1/4 binary64))
(* 1/4 z)
(*.f64 z #s(literal 1/4 binary64))
(* 1/4 z)
(*.f64 z #s(literal 1/4 binary64))
(* 1/4 z)
(*.f64 z #s(literal 1/4 binary64))
(* 1/4 z)
(*.f64 z #s(literal 1/4 binary64))
(* 1/4 z)
(*.f64 z #s(literal 1/4 binary64))
(* 1/4 z)
(*.f64 z #s(literal 1/4 binary64))
(* 1/4 z)
(*.f64 z #s(literal 1/4 binary64))
(* 1/4 z)
(*.f64 z #s(literal 1/4 binary64))
(* 1/4 z)
(*.f64 z #s(literal 1/4 binary64))

eval70.0ms (1%)

Compiler

Compiled 4881 to 682 computations (86% saved)

prune49.0ms (0.7%)

Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New4661467
Fresh000
Picked033
Done055
Total4669475
Accuracy
100.0%
Counts
475 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓38.7%
(/.f64 x (/.f64 z #s(literal 4 binary64)))
▶38.6%
(/.f64 #s(literal 4 binary64) (/.f64 z x))
✓36.3%
(/.f64 #s(literal -4 binary64) (/.f64 z y))
✓67.2%
(+.f64 (*.f64 x (/.f64 #s(literal 4 binary64) z)) #s(literal -2 binary64))
✓99.6%
(+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z))
✓64.8%
(+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) y) z))
✓70.7%
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
✓36.4%
(*.f64 #s(literal -4 binary64) (/.f64 y z))
✓31.0%
#s(literal -2 binary64)
Compiler

Compiled 78 to 60 computations (23.1% saved)

simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 z x)
✓cost-diff0
(/.f64 #s(literal 4 binary64) (/.f64 z x))
Rules
12×*-lowering-*.f32
12×*-lowering-*.f64
10×/-lowering-/.f32
10×/-lowering-/.f64
6×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
1711
21011
31411
41511
01511
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ 4 (/ z x))
4
(/ z x)
z
x
Outputs
(/ 4 (/ z x))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
4
#s(literal 4 binary64)
(/ z x)
(/.f64 z x)
z
x

localize21.0ms (0.3%)

Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 z x)
✓accuracy99.1%
(/.f64 #s(literal 4 binary64) (/.f64 z x))
Results
14.0ms256×0valid
Compiler

Compiled 15 to 7 computations (53.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 4.0ms (91.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series4.0ms (0.1%)

Counts
2 → 48
Calls
Call 1
Inputs
#<alt (/ 4 (/ z x))>
#<alt (/ z x)>
Outputs
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (* 4 (/ x z))>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
Calls

12 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(/ 4 (/ z x))
0.0ms
z
@-inf
(/ z x)
0.0ms
z
@0
(/ z x)
0.0ms
z
@inf
(/ z x)
0.0ms
x
@0
(/ z x)

rewrite625.0ms (9.1%)

Algorithm
1×batch-egg-rewrite
Rules
1414×*-lowering-*.f32
1414×*-lowering-*.f64
1386×/-lowering-/.f32
1386×/-lowering-/.f64
1018×frac-2neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
1238
21178
35808
435288
093208
Stop Event
1×iter limit
1×node limit
Counts
2 → 238
Calls
Call 1
Inputs
(/ 4 (/ z x))
(/ z x)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (/.f64 z x)))
(+.f64 (*.f64 (/.f64 #s(literal 4 binary64) z) #s(literal 0 binary64)) (/.f64 #s(literal 4 binary64) (/.f64 z x)))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) z)) (/.f64 #s(literal 4 binary64) (/.f64 z x)))
(exp.f64 (log.f64 (/.f64 #s(literal 4 binary64) (/.f64 z x))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 4 binary64) (/.f64 z x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 4 binary64) (/.f64 z x)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (/.f64 z x) #s(literal 4 binary64)) (/.f64 (/.f64 z x) #s(literal 4 binary64)))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 z x) #s(literal 4 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (/.f64 z x) #s(literal 4 binary64))) #s(literal -1/2 binary64)) (*.f64 (log.f64 (/.f64 (/.f64 z x) #s(literal 4 binary64))) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (/.f64 z x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 4 binary64) (/.f64 z x)))
(fma.f64 (/.f64 #s(literal 4 binary64) z) #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (/.f64 z x)))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) z) (/.f64 #s(literal 4 binary64) (/.f64 z x)))
(neg.f64 (/.f64 #s(literal 4 binary64) (/.f64 z x)))
(/.f64 #s(literal 4 binary64) (/.f64 z x))
(/.f64 x (/.f64 z #s(literal 4 binary64)))
(/.f64 x (*.f64 (/.f64 z #s(literal 4 binary64)) #s(literal -1 binary64)))
(/.f64 x (neg.f64 (*.f64 (/.f64 z #s(literal 4 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -4 binary64) (/.f64 z x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) #s(literal 4 binary64)))
(/.f64 (/.f64 #s(literal 4 binary64) z) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 z x) #s(literal 4 binary64)))
(/.f64 (/.f64 x z) #s(literal 1/4 binary64))
(/.f64 (/.f64 x z) #s(literal -1/4 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1/4 binary64) x))
(/.f64 (/.f64 #s(literal 4 binary64) (/.f64 z x)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 4 binary64) (/.f64 z x)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (/.f64 z #s(literal 4 binary64))))
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 z #s(literal 4 binary64)) (*.f64 x x)))
(/.f64 (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 (*.f64 x x) (/.f64 z #s(literal 4 binary64)))))
(/.f64 (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 (/.f64 z #s(literal 4 binary64)) (*.f64 x x))))
(/.f64 (*.f64 x x) (*.f64 x (/.f64 z #s(literal 4 binary64))))
(/.f64 (*.f64 x x) (*.f64 (/.f64 z #s(literal 4 binary64)) x))
(/.f64 (*.f64 x x) (neg.f64 (*.f64 x (/.f64 z #s(literal 4 binary64)))))
(/.f64 (*.f64 x x) (neg.f64 (*.f64 (/.f64 z #s(literal 4 binary64)) x)))
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 4 binary64)) (*.f64 (*.f64 x x) z))
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -4 binary64)) (*.f64 (*.f64 x x) z))
(/.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 x z))
(/.f64 (*.f64 (*.f64 x x) #s(literal -4 binary64)) (*.f64 x z))
(/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x x))) (*.f64 z (*.f64 x x)))
(/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 z x))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 x (*.f64 x x))) (*.f64 z (*.f64 x x)))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 x x)) (*.f64 z x))
(/.f64 (*.f64 (/.f64 #s(literal 4 binary64) z) (*.f64 x (*.f64 x x))) (*.f64 x x))
(/.f64 (*.f64 (/.f64 #s(literal 4 binary64) z) (*.f64 x x)) x)
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 z z) z)) #s(literal -1/64 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (/.f64 #s(literal 4 binary64) (/.f64 z x)) (/.f64 #s(literal 4 binary64) (/.f64 z x))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (/.f64 z x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 4 binary64) (/.f64 z x)) (/.f64 #s(literal 4 binary64) (/.f64 z x)))) (/.f64 #s(literal 4 binary64) (/.f64 z x)))
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 4 binary64) z)) (*.f64 x x))
(/.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 4 binary64) z)) x)
(/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 z x))) (sqrt.f64 (/.f64 z x)))
(/.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 z x))) (sqrt.f64 (/.f64 z x)))
(/.f64 (/.f64 (/.f64 #s(literal 4 binary64) z) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 (/.f64 z #s(literal 4 binary64)) (/.f64 z x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z #s(literal 4 binary64)) #s(literal -4 binary64))) (*.f64 (/.f64 z #s(literal 4 binary64)) (/.f64 z x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 z #s(literal 4 binary64))) (*.f64 (/.f64 z #s(literal 4 binary64)) x)) (*.f64 (/.f64 z #s(literal 4 binary64)) (/.f64 z #s(literal 4 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 z #s(literal 4 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 z #s(literal 4 binary64)) x)) (*.f64 (/.f64 z #s(literal 4 binary64)) (*.f64 (/.f64 z #s(literal 4 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 z x) #s(literal 4 binary64))) (/.f64 z #s(literal 4 binary64))) (*.f64 (/.f64 z #s(literal 4 binary64)) (/.f64 (/.f64 z x) #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z #s(literal 4 binary64)) (/.f64 x z))) (*.f64 (/.f64 z #s(literal 4 binary64)) #s(literal -1/4 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z #s(literal 4 binary64)) (/.f64 x z))) (*.f64 (/.f64 z #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z #s(literal 4 binary64)) (/.f64 #s(literal 4 binary64) z))) (/.f64 (/.f64 z x) #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 z x) #s(literal 4 binary64))) (*.f64 (/.f64 z #s(literal 4 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 z #s(literal 4 binary64)) (/.f64 (/.f64 z x) #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) z))) (*.f64 (/.f64 z #s(literal 4 binary64)) (/.f64 #s(literal 1/4 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z #s(literal 4 binary64)) (/.f64 #s(literal 4 binary64) (/.f64 z x)))) (/.f64 z #s(literal 4 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z #s(literal 4 binary64)) (/.f64 #s(literal 4 binary64) (/.f64 z x)))) (*.f64 (/.f64 z #s(literal 4 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) x))) (*.f64 (/.f64 z #s(literal 4 binary64)) z))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 z (*.f64 x x))) (*.f64 (/.f64 z #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (/.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 x x))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 z x)) (*.f64 (/.f64 z #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) (*.f64 (/.f64 z #s(literal 4 binary64)) (*.f64 z x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 z (*.f64 x x))) (*.f64 (/.f64 z #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (/.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 x x))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 z x)) (*.f64 (/.f64 z #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 x x)))) (*.f64 (/.f64 z #s(literal 4 binary64)) (*.f64 z x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 z #s(literal 4 binary64)) (*.f64 x x))) (*.f64 (/.f64 z #s(literal 4 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 z #s(literal 4 binary64)) (*.f64 (/.f64 z #s(literal 4 binary64)) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (/.f64 z #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal 4 binary64) z) (*.f64 x (*.f64 x x))))) (*.f64 (/.f64 z #s(literal 4 binary64)) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal 4 binary64) z) (*.f64 x x)))) (*.f64 (/.f64 z #s(literal 4 binary64)) x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 z #s(literal 4 binary64)) x)) (*.f64 (/.f64 z #s(literal 4 binary64)) (*.f64 x x))) (*.f64 (/.f64 z #s(literal 4 binary64)) (*.f64 (/.f64 z #s(literal 4 binary64)) x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 z x))) (*.f64 (/.f64 z #s(literal 4 binary64)) (/.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 z x))))) (*.f64 (/.f64 z #s(literal 4 binary64)) (sqrt.f64 (/.f64 z x))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (/.f64 z #s(literal 4 binary64)) (/.f64 (/.f64 #s(literal 4 binary64) z) (pow.f64 x #s(literal -1/2 binary64))))) (*.f64 (/.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 4 binary64))) (neg.f64 (*.f64 (*.f64 x x) z)))
(/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -4 binary64))) (neg.f64 (*.f64 (*.f64 x x) z)))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64))) (neg.f64 (*.f64 x z)))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal -4 binary64))) (neg.f64 (*.f64 x z)))
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 z (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x))) (neg.f64 (*.f64 z x)))
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(/.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (*.f64 x x))) (neg.f64 (*.f64 z x)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) z) (*.f64 x (*.f64 x x)))) (*.f64 x x))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) z) (*.f64 x x))) x)
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 z z) z)) #s(literal -1/64 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (/.f64 #s(literal 4 binary64) (/.f64 z x)) (/.f64 #s(literal 4 binary64) (/.f64 z x))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (/.f64 z x)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 4 binary64) (/.f64 z x)) (/.f64 #s(literal 4 binary64) (/.f64 z x))))) (/.f64 #s(literal 4 binary64) (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 4 binary64) z))) (*.f64 x x))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 4 binary64) z))) x)
(/.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 z x)))) (neg.f64 (sqrt.f64 (/.f64 z x))))
(/.f64 (neg.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 z x)))) (neg.f64 (sqrt.f64 (/.f64 z x))))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 4 binary64) z) (pow.f64 x #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
(pow.f64 (/.f64 (/.f64 z x) #s(literal 4 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 4 binary64) (/.f64 z x)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 4 binary64) (/.f64 z x))) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (/.f64 z x) #s(literal 4 binary64)) (/.f64 (/.f64 z x) #s(literal 4 binary64))) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) (/.f64 z x)) (/.f64 #s(literal 4 binary64) (/.f64 z x))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (/.f64 z x) #s(literal 4 binary64))))
(*.f64 #s(literal 4 binary64) (/.f64 x z))
(*.f64 x (/.f64 #s(literal 4 binary64) z))
(*.f64 #s(literal -4 binary64) (/.f64 x z))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 z x)))
(*.f64 (/.f64 #s(literal 4 binary64) z) x)
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 z x)))
(*.f64 (/.f64 x z) #s(literal 4 binary64))
(*.f64 (/.f64 x z) #s(literal -4 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 4 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (/.f64 z x)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 4 binary64) (/.f64 z x)) #s(literal -1 binary64))
(*.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 #s(literal 1 binary64) z))
(*.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) #s(literal 4 binary64)))
(*.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 4 binary64) (/.f64 z x))) (sqrt.f64 (/.f64 #s(literal 4 binary64) (/.f64 z x))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 4 binary64) (/.f64 z x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 4 binary64) (/.f64 z x)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 4 binary64) (/.f64 z x))) (/.f64 (sqrt.f64 (/.f64 #s(literal 4 binary64) (/.f64 z x))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 4 binary64) z) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal -1/2 binary64))))
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(*.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (/.f64 z x) #s(literal -1/2 binary64))) (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (/.f64 z x) #s(literal -1/2 binary64))) (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 (*.f64 z z) z)) (*.f64 z z))
(*.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 z z)) z)
(*.f64 (/.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 z z) z) (*.f64 x (*.f64 x x)))) (/.f64 (/.f64 z x) (/.f64 x z)))
(*.f64 (/.f64 #s(literal 4 binary64) (/.f64 (/.f64 z x) (/.f64 x z))) (/.f64 z x))
(+.f64 (/.f64 z x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 z x))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (/.f64 z x))
(exp.f64 (log.f64 (/.f64 z x)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x z)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x z) (/.f64 x z))) #s(literal -1/2 binary64)))
(exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal 3 binary64)) (log.f64 (/.f64 (/.f64 z x) (/.f64 x z)))))
(-.f64 #s(literal 0 binary64) (/.f64 z x))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (/.f64 z x) (/.f64 x z))) (/.f64 z x))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 z x)) (/.f64 z x))
(fma.f64 (/.f64 z x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 z x) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 z x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64) (/.f64 z x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) z #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 z x) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 (*.f64 z z) z) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 x z) (/.f64 x z)) #s(literal 0 binary64))
(fma.f64 (/.f64 (/.f64 z x) (/.f64 x z)) (/.f64 x z) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (/.f64 z x)) (sqrt.f64 (/.f64 z x)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (/.f64 z x)) (neg.f64 (sqrt.f64 (/.f64 z x))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (/.f64 z x)) (*.f64 (sqrt.f64 (/.f64 z x)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (/.f64 z x)) (/.f64 (sqrt.f64 (/.f64 z x)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) z) #s(literal 0 binary64))
(fma.f64 z (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 z x))) (sqrt.f64 (/.f64 z x)) #s(literal 0 binary64))
(fma.f64 (*.f64 z (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 z x))) (sqrt.f64 (/.f64 z x)) #s(literal 0 binary64))
(fma.f64 (/.f64 z (*.f64 x (*.f64 x x))) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 (/.f64 z (*.f64 x x)) x #s(literal 0 binary64))
(neg.f64 (/.f64 z x))
(/.f64 (/.f64 z x) #s(literal 1 binary64))
(/.f64 (/.f64 z x) #s(literal -1 binary64))
(/.f64 (/.f64 z x) (exp.f64 (log.f64 #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 x z))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 z x) (/.f64 x z)) (/.f64 (*.f64 (*.f64 z z) z) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) (/.f64 (/.f64 z x) (/.f64 x z))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (/.f64 z x) (/.f64 x z)) (/.f64 (*.f64 (*.f64 z z) z) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 z x) (/.f64 (/.f64 z x) (/.f64 x z)))))
(/.f64 (*.f64 z z) (*.f64 x z))
(/.f64 (*.f64 z z) (*.f64 z x))
(/.f64 (*.f64 z z) (neg.f64 (*.f64 x z)))
(/.f64 (*.f64 z z) (neg.f64 (*.f64 z x)))
(/.f64 (/.f64 (*.f64 (*.f64 z z) z) (*.f64 x (*.f64 x x))) (/.f64 (/.f64 z x) (/.f64 x z)))
(/.f64 (/.f64 (/.f64 z x) (/.f64 x z)) (/.f64 z x))
(/.f64 (sqrt.f64 (/.f64 z x)) (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)))
(/.f64 z x)
(/.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 z z) x))
(/.f64 (*.f64 (*.f64 z z) z) (*.f64 x (*.f64 z z)))
(/.f64 (*.f64 (*.f64 z z) z) (neg.f64 (*.f64 (*.f64 z z) x)))
(/.f64 (*.f64 (*.f64 z z) z) (neg.f64 (*.f64 x (*.f64 z z))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 z x))) x)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) (*.f64 x x))
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(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 (/.f64 z x) (/.f64 x z)))) (*.f64 x (/.f64 z x)))
(/.f64 (*.f64 (*.f64 z z) #s(literal -1 binary64)) (*.f64 z x))
(/.f64 (*.f64 (*.f64 (*.f64 z z) z) (/.f64 #s(literal 1 binary64) x)) (*.f64 z z))
(/.f64 (*.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) x)) z)
(/.f64 (neg.f64 (sqrt.f64 (/.f64 z x))) (neg.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 z z) z)) (*.f64 z z))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z z)) z)
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 z x) #s(literal -1/2 binary64))) (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 x z)) x) (*.f64 x (/.f64 x z)))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (/.f64 x z))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 z x) (/.f64 x z))) (*.f64 (/.f64 (/.f64 z x) (/.f64 x z)) (/.f64 (*.f64 (*.f64 z z) z) (*.f64 x (*.f64 x x))))) (*.f64 (/.f64 (/.f64 z x) (/.f64 x z)) (/.f64 (/.f64 z x) (/.f64 x z))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 z x)))) x)
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z))) (*.f64 x x))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 x z)) x)) (neg.f64 (*.f64 x (/.f64 x z))))
(/.f64 (neg.f64 (*.f64 (*.f64 z z) #s(literal -1 binary64))) (neg.f64 (*.f64 z x)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 z z) z))) (*.f64 z z))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z z))) z)
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 z z) z) (/.f64 #s(literal 1 binary64) x))) (*.f64 z z))
(/.f64 (neg.f64 (*.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) x))) z)
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 z x) (/.f64 x z))) (*.f64 x (/.f64 (*.f64 (*.f64 z z) z) (*.f64 x (*.f64 x x)))))) (neg.f64 (*.f64 x (/.f64 (/.f64 z x) (/.f64 x z)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 (/.f64 z x) (/.f64 x z))))) (neg.f64 (*.f64 x (/.f64 z x))))
(pow.f64 (/.f64 z x) #s(literal 1 binary64))
(pow.f64 (/.f64 x z) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 z x) (/.f64 x z)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 z x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (*.f64 (/.f64 x z) (/.f64 x z)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (/.f64 (/.f64 z x) (/.f64 x z)) (/.f64 (*.f64 (*.f64 z z) z) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 z x) (/.f64 (/.f64 z x) (/.f64 x z))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (/.f64 z x)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 x z)))
(*.f64 (/.f64 z x) #s(literal 1 binary64))
(*.f64 (/.f64 z x) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 z x))
(*.f64 (/.f64 #s(literal 1 binary64) x) z)
(*.f64 #s(literal -1 binary64) (/.f64 z x))
(*.f64 (/.f64 (*.f64 (*.f64 z z) z) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 x z) (/.f64 x z)))
(*.f64 (/.f64 (/.f64 z x) (/.f64 x z)) (/.f64 x z))
(*.f64 (sqrt.f64 (/.f64 z x)) (sqrt.f64 (/.f64 z x)))
(*.f64 (sqrt.f64 (/.f64 z x)) (neg.f64 (sqrt.f64 (/.f64 z x))))
(*.f64 (sqrt.f64 (/.f64 z x)) (*.f64 (sqrt.f64 (/.f64 z x)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (/.f64 z x)) (/.f64 (sqrt.f64 (/.f64 z x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) z))
(*.f64 z (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 z x))) (sqrt.f64 (/.f64 z x)))
(*.f64 (*.f64 z (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 z x))) (sqrt.f64 (/.f64 z x)))
(*.f64 (/.f64 z (*.f64 x (*.f64 x x))) (*.f64 x x))
(*.f64 (/.f64 z (*.f64 x x)) x)
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (/.f64 z x))

simplify20.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
06192
19192
211192
313192
414192
014192
Stop Event
1×iter limit
1×saturated
Counts
48 → 48
Calls
Call 1
Inputs
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
Outputs
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)

eval39.0ms (0.6%)

Compiler

Compiled 3264 to 601 computations (81.6% saved)

prune39.0ms (0.6%)

Pruning

9 alts after pruning (0 fresh and 9 done)

PrunedKeptTotal
New2860286
Fresh000
Picked011
Done088
Total2869295
Accuracy
100.0%
Counts
295 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓38.7%
(/.f64 x (/.f64 z #s(literal 4 binary64)))
✓38.6%
(/.f64 #s(literal 4 binary64) (/.f64 z x))
✓36.3%
(/.f64 #s(literal -4 binary64) (/.f64 z y))
✓67.2%
(+.f64 (*.f64 x (/.f64 #s(literal 4 binary64) z)) #s(literal -2 binary64))
✓99.6%
(+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z))
✓64.8%
(+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) y) z))
✓70.7%
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
✓36.4%
(*.f64 #s(literal -4 binary64) (/.f64 y z))
✓31.0%
#s(literal -2 binary64)
Compiler

Compiled 148 to 91 computations (38.5% saved)

regimes23.0ms (0.3%)

Counts
11 → 1
Calls
Call 1
Inputs
#s(literal -2 binary64)
(*.f64 #s(literal -4 binary64) (/.f64 y z))
(*.f64 x (/.f64 #s(literal 4 binary64) z))
(/.f64 #s(literal -4 binary64) (/.f64 z y))
(/.f64 #s(literal 4 binary64) (/.f64 z x))
(/.f64 x (/.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) y) z))
(+.f64 (*.f64 x (/.f64 #s(literal 4 binary64) z)) #s(literal -2 binary64))
(+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Outputs
(+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z))
Calls

5 calls:

6.0ms
z
4.0ms
y
4.0ms
x
4.0ms
(-.f64 x y)
4.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Results
AccuracySegmentsBranch
99.6%1x
99.6%1y
99.6%1z
99.6%1(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
99.6%1(-.f64 x y)
Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes19.0ms (0.3%)

Counts
9 → 3
Calls
Call 1
Inputs
#s(literal -2 binary64)
(*.f64 #s(literal -4 binary64) (/.f64 y z))
(*.f64 x (/.f64 #s(literal 4 binary64) z))
(/.f64 #s(literal -4 binary64) (/.f64 z y))
(/.f64 #s(literal 4 binary64) (/.f64 z x))
(/.f64 x (/.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) y) z))
(+.f64 (*.f64 x (/.f64 #s(literal 4 binary64) z)) #s(literal -2 binary64))
Outputs
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(+.f64 (*.f64 x (/.f64 #s(literal 4 binary64) z)) #s(literal -2 binary64))
(+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) y) z))
Calls

4 calls:

7.0ms
z
4.0ms
y
4.0ms
(-.f64 x y)
3.0ms
x
Results
AccuracySegmentsBranch
88.9%3x
89.0%3y
87.0%3z
88.8%4(-.f64 x y)
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes7.0ms (0.1%)

Counts
8 → 3
Calls
Call 1
Inputs
#s(literal -2 binary64)
(*.f64 #s(literal -4 binary64) (/.f64 y z))
(*.f64 x (/.f64 #s(literal 4 binary64) z))
(/.f64 #s(literal -4 binary64) (/.f64 z y))
(/.f64 #s(literal 4 binary64) (/.f64 z x))
(/.f64 x (/.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) y) z))
Outputs
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
(+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) y) z))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
Calls

2 calls:

3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
88.9%3x
73.0%2y
Compiler

Compiled 8 to 6 computations (25% saved)

regimes12.0ms (0.2%)

Counts
7 → 3
Calls
Call 1
Inputs
#s(literal -2 binary64)
(*.f64 #s(literal -4 binary64) (/.f64 y z))
(*.f64 x (/.f64 #s(literal 4 binary64) z))
(/.f64 #s(literal -4 binary64) (/.f64 z y))
(/.f64 #s(literal 4 binary64) (/.f64 z x))
(/.f64 x (/.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
Outputs
#s(literal -2 binary64)
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
#s(literal -2 binary64)
Calls

3 calls:

5.0ms
x
3.0ms
z
3.0ms
(-.f64 x y)
Results
AccuracySegmentsBranch
81.6%3z
80.2%3(-.f64 x y)
74.0%3x
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes11.0ms (0.2%)

Counts
6 → 4
Calls
Call 1
Inputs
#s(literal -2 binary64)
(*.f64 #s(literal -4 binary64) (/.f64 y z))
(*.f64 x (/.f64 #s(literal 4 binary64) z))
(/.f64 #s(literal -4 binary64) (/.f64 z y))
(/.f64 #s(literal 4 binary64) (/.f64 z x))
(/.f64 x (/.f64 z #s(literal 4 binary64)))
Outputs
(/.f64 x (/.f64 z #s(literal 4 binary64)))
#s(literal -2 binary64)
(*.f64 #s(literal -4 binary64) (/.f64 y z))
(/.f64 x (/.f64 z #s(literal 4 binary64)))
Calls

3 calls:

5.0ms
x
3.0ms
z
3.0ms
y
Results
AccuracySegmentsBranch
61.5%4x
60.2%4y
58.3%5z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0%)

Counts
5 → 4
Calls
Call 1
Inputs
#s(literal -2 binary64)
(*.f64 #s(literal -4 binary64) (/.f64 y z))
(*.f64 x (/.f64 #s(literal 4 binary64) z))
(/.f64 #s(literal -4 binary64) (/.f64 z y))
(/.f64 #s(literal 4 binary64) (/.f64 z x))
Outputs
(/.f64 #s(literal 4 binary64) (/.f64 z x))
#s(literal -2 binary64)
(*.f64 #s(literal -4 binary64) (/.f64 y z))
(/.f64 #s(literal 4 binary64) (/.f64 z x))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
61.4%4x
Compiler

Compiled 4 to 3 computations (25% saved)

regimes3.0ms (0%)

Counts
4 → 4
Calls
Call 1
Inputs
#s(literal -2 binary64)
(*.f64 #s(literal -4 binary64) (/.f64 y z))
(*.f64 x (/.f64 #s(literal 4 binary64) z))
(/.f64 #s(literal -4 binary64) (/.f64 z y))
Outputs
(*.f64 x (/.f64 #s(literal 4 binary64) z))
#s(literal -2 binary64)
(*.f64 #s(literal -4 binary64) (/.f64 y z))
(*.f64 x (/.f64 #s(literal 4 binary64) z))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
61.4%4x
Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0.1%)

Counts
2 → 3
Calls
Call 1
Inputs
#s(literal -2 binary64)
(*.f64 #s(literal -4 binary64) (/.f64 y z))
Outputs
(*.f64 #s(literal -4 binary64) (/.f64 y z))
#s(literal -2 binary64)
(*.f64 #s(literal -4 binary64) (/.f64 y z))
Calls

3 calls:

2.0ms
x
2.0ms
z
2.0ms
y
Results
AccuracySegmentsBranch
51.9%3z
54.1%3y
40.0%3x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal -2 binary64)
Outputs
#s(literal -2 binary64)
Calls

3 calls:

1.0ms
z
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
31.0%1x
31.0%1z
31.0%1y
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch195.0ms (2.8%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
8.2545868822582e-11
5.703864850475563e-8
175.0ms
-1.3170171200780976e-61
-8.59458197249154e-65
Results
183.0ms256×0valid
Compiler

Compiled 372 to 295 computations (20.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 175.0ms
ival-mult: 166.0ms (94.6% of total)
ival-sub: 7.0ms (4% of total)
ival-div: 2.0ms (1.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch20.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
2.3664381837607853e+111
2.8959194682527674e+115
3.0ms
-3.250072350159758e-12
-2.9943986481676926e-12
Results
13.0ms160×0valid
Compiler

Compiled 240 to 185 computations (22.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sub: 2.0ms (36.4% of total)
ival-mult: 2.0ms (36.4% of total)
ival-div: 1.0ms (18.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch30.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
3.047530845450786e+129
1.2611367534707188e+134
12.0ms
-4.2186371653439724e+172
-1.2833606879614799e+170
Results
19.0ms256×0valid
Compiler

Compiled 276 to 223 computations (19.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 4.0ms (45.2% of total)
ival-sub: 3.0ms (33.9% of total)
ival-div: 2.0ms (22.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch54.0ms (0.8%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
32.0ms
9.318819267102868e+80
2.6629473018639588e+85
15.0ms
6.0781816022235095e-255
1.4008095784566784e-251
3.0ms
-3.250072350159758e-12
-2.9943986481676926e-12
Results
33.0ms288×0valid
Compiler

Compiled 304 to 247 computations (18.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-div: 13.0ms (61.8% of total)
ival-mult: 4.0ms (19% of total)
ival-sub: 3.0ms (14.3% of total)
const: 1.0ms (4.8% of total)
backward-pass: 0.0ms (0% of total)

bsearch35.0ms (0.5%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
9.318819267102868e+80
2.6629473018639588e+85
15.0ms
6.0781816022235095e-255
1.4008095784566784e-251
3.0ms
-3.250072350159758e-12
-2.9943986481676926e-12
Results
19.0ms288×0valid
Compiler

Compiled 304 to 247 computations (18.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 4.0ms (40.6% of total)
ival-sub: 3.0ms (30.4% of total)
ival-div: 2.0ms (20.3% of total)
const: 1.0ms (10.1% of total)
backward-pass: 0.0ms (0% of total)

bsearch57.0ms (0.8%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
12.0ms
9.318819267102868e+80
2.6629473018639588e+85
39.0ms
6.0781816022235095e-255
1.4008095784566784e-251
3.0ms
-3.250072350159758e-12
-2.9943986481676926e-12
Results
19.0ms288×0valid
Compiler

Compiled 304 to 247 computations (18.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 4.0ms (40.2% of total)
ival-sub: 3.0ms (30.2% of total)
ival-div: 2.0ms (20.1% of total)
const: 1.0ms (10.1% of total)
backward-pass: 0.0ms (0% of total)

bsearch24.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
9.0ms
1.1431968246378528e-24
1.616500458487073e-23
13.0ms
-8.432124485515829e+50
-4.372132142571375e+50
Results
17.0ms160×0valid
Compiler

Compiled 160 to 135 computations (15.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sub: 2.0ms (36.5% of total)
ival-mult: 2.0ms (36.5% of total)
ival-div: 1.0ms (18.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify13.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
12×*-commutative_binary64
10×+-commutative_binary64
6×if-if-or-not_binary32
4×sub-neg_binary64
2×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069178
188178
293178
395178
496178
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z))
(if (<=.f64 y #s(literal -7526485800425553/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z)) (if (<=.f64 y #s(literal 3475661731392059/151115727451828646838272 binary64)) (+.f64 (*.f64 x (/.f64 #s(literal 4 binary64) z)) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) y) z))))
(if (<=.f64 x #s(literal -3961408125713217/1237940039285380274899124224 binary64)) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z)) (if (<=.f64 x #s(literal 4399999999999999970206027317292245516609087662653273035102582525489641219561011134543828329716743468719051636736 binary64)) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) y) z)) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))))
(if (<=.f64 z #s(literal -129999999999999989725888337273762055661600403360212331484599339325951911855503293726119512478266601031984604827097879330566137232437069306407094254209163476970063924297728 binary64)) #s(literal -2 binary64) (if (<=.f64 z #s(literal 9500000000000000444807973973757596720789825426772393032425356303201386958125157501227151788084488172603815846116745986776877760512 binary64)) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z)) #s(literal -2 binary64)))
(if (<=.f64 x #s(literal -3961408125713217/1237940039285380274899124224 binary64)) (/.f64 x (/.f64 z #s(literal 4 binary64))) (if (<=.f64 x #s(literal 3353432082404125/257956314031086546070478410603767874276780920916074961976543314954430616482775810290242800726395111276696481930301332362735521269288420672485614735577607215287298185546389201254263436365442598170421988724712494337962904439820098505292185985726092029535907510203973632 binary64)) #s(literal -2 binary64) (if (<=.f64 x #s(literal 1199999999999999947663172542221813969489814972339193549730036029167321479840268288 binary64)) (*.f64 #s(literal -4 binary64) (/.f64 y z)) (/.f64 x (/.f64 z #s(literal 4 binary64))))))
(if (<=.f64 x #s(literal -3961408125713217/1237940039285380274899124224 binary64)) (/.f64 #s(literal 4 binary64) (/.f64 z x)) (if (<=.f64 x #s(literal 3037693554030075/132073632783916311588084946229129151629711831509030380531990177256668475639181214868604313971914296973668598748314282169720586889875671384312634744615734894227096670999751271042182879419106610263256058227052797101037007073187890434709599224691759119122384645224434499584 binary64)) #s(literal -2 binary64) (if (<=.f64 x #s(literal 40999999999999999510676659104783946565224352986857778215482407603322522697711222784 binary64)) (*.f64 #s(literal -4 binary64) (/.f64 y z)) (/.f64 #s(literal 4 binary64) (/.f64 z x)))))
(if (<=.f64 x #s(literal -3961408125713217/1237940039285380274899124224 binary64)) (*.f64 x (/.f64 #s(literal 4 binary64) z)) (if (<=.f64 x #s(literal 7924417967034979/1056589062271330492704679569833033213037694652072243044255921418053347805113449718948834511775314375789348789986514257357764695119005371074501077956925879153816773367998010168337463035352852882106048465816422376808296056585503123477676793797534072952979077161795475996672 binary64)) #s(literal -2 binary64) (if (<=.f64 x #s(literal 14500000000000000648896216852626023622671267733755515272461596059119321475520135168 binary64)) (*.f64 #s(literal -4 binary64) (/.f64 y z)) (*.f64 x (/.f64 #s(literal 4 binary64) z)))))
(if (<=.f64 y #s(literal -549999999999999979656171823587446975756351389564928 binary64)) (*.f64 #s(literal -4 binary64) (/.f64 y z)) (if (<=.f64 y #s(literal 2858371882135883/680564733841876926926749214863536422912 binary64)) #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 y z))))
#s(literal -2 binary64)
Outputs
(+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z))
(if (<=.f64 y #s(literal -7526485800425553/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z)) (if (<=.f64 y #s(literal 3475661731392059/151115727451828646838272 binary64)) (+.f64 (*.f64 x (/.f64 #s(literal 4 binary64) z)) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) y) z))))
(if (<=.f64 y #s(literal -7526485800425553/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z)) (if (<=.f64 y #s(literal 3475661731392059/151115727451828646838272 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 x (/.f64 #s(literal 4 binary64) z))) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 y #s(literal -4 binary64)) z))))
(if (<=.f64 x #s(literal -3961408125713217/1237940039285380274899124224 binary64)) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z)) (if (<=.f64 x #s(literal 4399999999999999970206027317292245516609087662653273035102582525489641219561011134543828329716743468719051636736 binary64)) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) y) z)) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))))
(if (<=.f64 x #s(literal -3961408125713217/1237940039285380274899124224 binary64)) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z)) (if (<=.f64 x #s(literal 4399999999999999970206027317292245516609087662653273035102582525489641219561011134543828329716743468719051636736 binary64)) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 y #s(literal -4 binary64)) z)) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))))
(if (<=.f64 z #s(literal -129999999999999989725888337273762055661600403360212331484599339325951911855503293726119512478266601031984604827097879330566137232437069306407094254209163476970063924297728 binary64)) #s(literal -2 binary64) (if (<=.f64 z #s(literal 9500000000000000444807973973757596720789825426772393032425356303201386958125157501227151788084488172603815846116745986776877760512 binary64)) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z)) #s(literal -2 binary64)))
(if (<=.f64 x #s(literal -3961408125713217/1237940039285380274899124224 binary64)) (/.f64 x (/.f64 z #s(literal 4 binary64))) (if (<=.f64 x #s(literal 3353432082404125/257956314031086546070478410603767874276780920916074961976543314954430616482775810290242800726395111276696481930301332362735521269288420672485614735577607215287298185546389201254263436365442598170421988724712494337962904439820098505292185985726092029535907510203973632 binary64)) #s(literal -2 binary64) (if (<=.f64 x #s(literal 1199999999999999947663172542221813969489814972339193549730036029167321479840268288 binary64)) (*.f64 #s(literal -4 binary64) (/.f64 y z)) (/.f64 x (/.f64 z #s(literal 4 binary64))))))
(if (<=.f64 x #s(literal -3961408125713217/1237940039285380274899124224 binary64)) (/.f64 #s(literal 4 binary64) (/.f64 z x)) (if (<=.f64 x #s(literal 3037693554030075/132073632783916311588084946229129151629711831509030380531990177256668475639181214868604313971914296973668598748314282169720586889875671384312634744615734894227096670999751271042182879419106610263256058227052797101037007073187890434709599224691759119122384645224434499584 binary64)) #s(literal -2 binary64) (if (<=.f64 x #s(literal 40999999999999999510676659104783946565224352986857778215482407603322522697711222784 binary64)) (*.f64 #s(literal -4 binary64) (/.f64 y z)) (/.f64 #s(literal 4 binary64) (/.f64 z x)))))
(if (<=.f64 x #s(literal -3961408125713217/1237940039285380274899124224 binary64)) (*.f64 x (/.f64 #s(literal 4 binary64) z)) (if (<=.f64 x #s(literal 7924417967034979/1056589062271330492704679569833033213037694652072243044255921418053347805113449718948834511775314375789348789986514257357764695119005371074501077956925879153816773367998010168337463035352852882106048465816422376808296056585503123477676793797534072952979077161795475996672 binary64)) #s(literal -2 binary64) (if (<=.f64 x #s(literal 14500000000000000648896216852626023622671267733755515272461596059119321475520135168 binary64)) (*.f64 #s(literal -4 binary64) (/.f64 y z)) (*.f64 x (/.f64 #s(literal 4 binary64) z)))))
(if (<=.f64 y #s(literal -549999999999999979656171823587446975756351389564928 binary64)) (*.f64 #s(literal -4 binary64) (/.f64 y z)) (if (<=.f64 y #s(literal 2858371882135883/680564733841876926926749214863536422912 binary64)) #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 y z))))
#s(literal -2 binary64)

soundness1.4s (19.9%)

Rules
3800×*-lowering-*.f32
3800×*-lowering-*.f64
3766×*-lowering-*.f32
3766×*-lowering-*.f64
2884×/-lowering-/.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01646
17745
260845
3661245
0859245
097788
1315764
2935674
33148674
47223674
08141674
01011
12311
26510
31829
45108
515538
651308
083858
01330
16630
246730
3542030
0811930
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 595 to 378 computations (36.5% saved)

preprocess145.0ms (2.1%)

Compiler

Compiled 442 to 180 computations (59.3% saved)

end0.0ms (0%)

Profiling

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