Numeric.SpecFunctions:choose from math-functions-0.1.5.2

Time bar (total: 5.9s)

analyze43.0ms (0.7%)

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 11 to 7 computations (36.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 6.0ms (47.3% of total)
ival-add: 4.0ms (31.6% of total)
ival-div: 2.0ms (15.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample671.0ms (11.3%)

Results
461.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 213.0ms
ival-mult: 78.0ms (36.6% of total)
ival-div: 63.0ms (29.6% of total)
ival-add: 61.0ms (28.6% of total)
const: 8.0ms (3.8% of total)
backward-pass: 3.0ms (1.4% of total)
Bogosity

preprocess243.0ms (4.1%)

Algorithm
2×egg-herbie
Rules
4268×*-lowering-*.f32
4268×*-lowering-*.f64
1612×associate-/r/
1582×fnmadd-define
1524×fma-define
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
02977
111073
231071
3104671
4340770
067
1167
2247
3277
4357
5437
6477
7566
8676
91766
105976
1125226
1240706
1343946
1445306
1546336
1647696
1749336
1865486
1978156
083856
Stop Event
1×iter limit
1×node limit
1×node limit
Calls
Call 1
Inputs
(/ (* x (+ y z)) z)
Outputs
(/ (* x (+ y z)) z)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
Call 2
Inputs
(/ (* x (+ y z)) z)
(/ (* (neg x) (+ y z)) z)
(/ (* x (+ (neg y) z)) z)
(/ (* x (+ y (neg z))) (neg z))
(neg (/ (* (neg x) (+ y z)) z))
(neg (/ (* x (+ (neg y) z)) z))
(neg (/ (* x (+ y (neg z))) (neg z)))
(/ (* y (+ x z)) z)
(/ (* z (+ y x)) x)
(/ (* x (+ z y)) y)
Outputs
(/ (* x (+ y z)) z)
(* x (+ (/ y z) 1))
(/ (* (neg x) (+ y z)) z)
(* x (- -1 (/ y z)))
(/ (* x (+ (neg y) z)) z)
(fma x (/ y (neg z)) x)
(/ (* x (+ y (neg z))) (neg z))
(fma x (/ y (neg z)) x)
(neg (/ (* (neg x) (+ y z)) z))
(* x (+ (/ y z) 1))
(neg (/ (* x (+ (neg y) z)) z))
(* x (/ (- y z) z))
(neg (/ (* x (+ y (neg z))) (neg z)))
(* x (/ (- y z) z))
(/ (* y (+ x z)) z)
(* y (+ (/ x z) 1))
(/ (* z (+ y x)) x)
(* (+ x y) (/ z x))
(/ (* x (+ z y)) y)
(* (+ y z) (/ x y))
Symmetry

(negabs x)

explain57.0ms (1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
500-2(7.019825193160256e-200 -1.0853383726266099e-280 -8.752535771293309e-125)(/.f64 (*.f64 x (+.f64 y z)) z)
00-0-x
00-0-(*.f64 x (+.f64 y z))
00-0-z
00-0-(+.f64 y z)
00-0-y
Results
34.0ms512×0valid
Compiler

Compiled 54 to 20 computations (63% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-div: 4.0ms (33% of total)
ival-mult: 4.0ms (33% of total)
ival-add: 3.0ms (24.8% of total)
const: 1.0ms (8.3% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 10 to 7 computations (30% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶81.7%
(/.f64 (*.f64 x (+.f64 y z)) z)
▶96.6%
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
Compiler

Compiled 20 to 13 computations (35% saved)

simplify224.0ms (3.8%)

Algorithm
1×egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 y z)
✓cost-diff0
(*.f64 x (+.f64 y z))
✓cost-diff0
(/.f64 (*.f64 x (+.f64 y z)) z)
✓cost-diff0
(/.f64 y z)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 y z))
✓cost-diff0
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
Rules
4988×*-lowering-*.f32
4988×*-lowering-*.f64
1932×fma-define
1748×associate-/r/
1646×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01037
13037
24935
39535
412835
523135
629235
738635
891135
9213035
10334935
11378535
12399635
13410235
14423435
15438435
16596435
17739835
0805435
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* x (+ 1 (/ y z)))
x
(+ 1 (/ y z))
1
(/ y z)
y
z
(/ (* x (+ y z)) z)
(* x (+ y z))
x
(+ y z)
y
z
Outputs
(* x (+ 1 (/ y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
x
(+ 1 (/ y z))
(+.f64 #s(literal 1 binary64) (/.f64 y z))
1
#s(literal 1 binary64)
(/ y z)
(/.f64 y z)
y
z
(/ (* x (+ y z)) z)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* x (+ y z))
(*.f64 x (+.f64 y z))
x
(+ y z)
(+.f64 y z)
y
z

localize40.0ms (0.7%)

Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 y z)
✓accuracy100.0%
(*.f64 x (+.f64 y z))
✓accuracy81.7%
(/.f64 (*.f64 x (+.f64 y z)) z)
✓accuracy100.0%
(/.f64 y z)
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 y z))
✓accuracy96.6%
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
Results
28.0ms256×0valid
Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 4.0ms (36.7% of total)
ival-mult: 4.0ms (36.7% of total)
ival-add: 3.0ms (27.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series13.0ms (0.2%)

Counts
6 → 180
Calls
Call 1
Inputs
#<alt (* x (+ 1 (/ y z)))>
#<alt (+ 1 (/ y z))>
#<alt (/ y z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (* x (+ y z))>
#<alt (+ y z)>
Outputs
#<alt (* x (+ 1 (/ y z)))>
#<alt (* x (+ 1 (/ y z)))>
#<alt (* x (+ 1 (/ y z)))>
#<alt (* x (+ 1 (/ y z)))>
#<alt (* x (+ 1 (/ y z)))>
#<alt (* x (+ 1 (/ y z)))>
#<alt (* x (+ 1 (/ y z)))>
#<alt (* x (+ 1 (/ y z)))>
#<alt (* x (+ 1 (/ y z)))>
#<alt (* x (+ 1 (/ y z)))>
#<alt (* x (+ 1 (/ y z)))>
#<alt (* x (+ 1 (/ y z)))>
#<alt x>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt (/ (* x y) z)>
#<alt (* y (+ (/ x y) (/ x z)))>
#<alt (* y (+ (/ x y) (/ x z)))>
#<alt (* y (+ (/ x y) (/ x z)))>
#<alt (/ (* x y) z)>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))>
#<alt (/ (* x y) z)>
#<alt (/ (+ (* x y) (* x z)) z)>
#<alt (/ (+ (* x y) (* x z)) z)>
#<alt (/ (+ (* x y) (* x z)) z)>
#<alt x>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt x>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt 1>
#<alt (+ 1 (/ y z))>
#<alt (+ 1 (/ y z))>
#<alt (+ 1 (/ y z))>
#<alt (/ y z)>
#<alt (* y (+ (/ 1 y) (/ 1 z)))>
#<alt (* y (+ (/ 1 y) (/ 1 z)))>
#<alt (* y (+ (/ 1 y) (/ 1 z)))>
#<alt (/ y z)>
#<alt (* y (+ (/ 1 y) (/ 1 z)))>
#<alt (* y (+ (/ 1 y) (/ 1 z)))>
#<alt (* y (+ (/ 1 y) (/ 1 z)))>
#<alt (/ y z)>
#<alt (/ (+ y z) z)>
#<alt (/ (+ y z) z)>
#<alt (/ (+ y z) z)>
#<alt 1>
#<alt (+ 1 (/ y z))>
#<alt (+ 1 (/ y z))>
#<alt (+ 1 (/ y z))>
#<alt 1>
#<alt (+ 1 (/ y z))>
#<alt (+ 1 (/ y z))>
#<alt (+ 1 (/ 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 (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt x>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt (/ (* x y) z)>
#<alt (* y (+ (/ x y) (/ x z)))>
#<alt (* y (+ (/ x y) (/ x z)))>
#<alt (* y (+ (/ x y) (/ x z)))>
#<alt (/ (* x y) z)>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))>
#<alt (/ (* x y) z)>
#<alt (/ (+ (* x y) (* x z)) z)>
#<alt (/ (+ (* x y) (* x z)) z)>
#<alt (/ (+ (* x y) (* x z)) z)>
#<alt x>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt x>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* 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 (* x (+ y z))>
#<alt (* x z)>
#<alt (+ (* x y) (* x z))>
#<alt (+ (* x y) (* x z))>
#<alt (+ (* x y) (* x z))>
#<alt (* x y)>
#<alt (* y (+ x (/ (* x z) y)))>
#<alt (* y (+ x (/ (* x z) y)))>
#<alt (* y (+ x (/ (* x z) y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))>
#<alt (* x y)>
#<alt (+ (* x y) (* x z))>
#<alt (+ (* x y) (* x z))>
#<alt (+ (* x y) (* x z))>
#<alt (* x z)>
#<alt (* z (+ x (/ (* x y) z)))>
#<alt (* z (+ x (/ (* x y) z)))>
#<alt (* z (+ x (/ (* x y) z)))>
#<alt (* x z)>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))>
#<alt z>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt y>
#<alt (* y (+ 1 (/ z y)))>
#<alt (* y (+ 1 (/ z y)))>
#<alt (* y (+ 1 (/ z y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))>
#<alt y>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt z>
#<alt (* z (+ 1 (/ y z)))>
#<alt (* z (+ 1 (/ y z)))>
#<alt (* z (+ 1 (/ y z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))>
Calls

45 calls:

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

rewrite256.0ms (4.3%)

Algorithm
1×batch-egg-rewrite
Rules
3304×*-lowering-*.f32
3304×*-lowering-*.f64
2740×/-lowering-/.f32
2740×/-lowering-/.f64
1322×frac-times
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01030
16730
253729
3738529
0816429
Stop Event
1×iter limit
1×node limit
Counts
6 → 310
Calls
Call 1
Inputs
(* x (+ 1 (/ y z)))
(+ 1 (/ y z))
(/ y z)
(/ (* x (+ y z)) z)
(* x (+ y z))
(+ y z)
Outputs
(+.f64 x (/.f64 x (/.f64 z y)))
(+.f64 (/.f64 x (/.f64 z y)) x)
(-.f64 (/.f64 (*.f64 x x) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (/.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 z z)) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(fma.f64 x #s(literal 1 binary64) (/.f64 x (/.f64 z y)))
(fma.f64 x (/.f64 y z) x)
(fma.f64 #s(literal 1 binary64) x (/.f64 x (/.f64 z y)))
(fma.f64 y (/.f64 x z) x)
(fma.f64 (/.f64 y z) x x)
(fma.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) z) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 x (/.f64 z y)) (-.f64 (/.f64 x (/.f64 z y)) x)) (*.f64 x x)) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 z (*.f64 z z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 y z) #s(literal -1 binary64)) (/.f64 z y))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 z (/.f64 y (/.f64 z y))) z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) (/.f64 z y))))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 z (*.f64 z z)))) (+.f64 (*.f64 (/.f64 x (/.f64 z y)) (-.f64 (/.f64 x (/.f64 z y)) x)) (*.f64 x x)))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 z (*.f64 z z)))) (+.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 z z)) (-.f64 (*.f64 x x) (*.f64 x (/.f64 x (/.f64 z y))))))
(/.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 z (/.f64 y (/.f64 z y))) z)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 y z) #s(literal -1 binary64)) (/.f64 z y))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) (/.f64 z y)))) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 z (*.f64 z z))))) (neg.f64 (+.f64 (*.f64 (/.f64 x (/.f64 z y)) (-.f64 (/.f64 x (/.f64 z y)) x)) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))) (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 z (/.f64 y (/.f64 z y))) z))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 y z) #s(literal -1 binary64)) (/.f64 z y)))))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) (/.f64 z y))))) (+.f64 #s(literal -1 binary64) (/.f64 y z)))
(/.f64 (-.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 z z)) (*.f64 x x)) (-.f64 (/.f64 x (/.f64 z y)) x))
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 (/.f64 z (/.f64 y (/.f64 z y))) z))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 y z) #s(literal -1 binary64)) (/.f64 z y)))))
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 y z) (/.f64 z y)))) (+.f64 #s(literal -1 binary64) (/.f64 y z)))
(/.f64 (*.f64 x (+.f64 (/.f64 (/.f64 y z) (/.f64 z y)) #s(literal -1 binary64))) (+.f64 (/.f64 y z) #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 (/.f64 z (/.f64 y (/.f64 z y))) z)))) x) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 y z) #s(literal -1 binary64)) (/.f64 z y)))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 y z) (/.f64 z y))) x) (+.f64 #s(literal -1 binary64) (/.f64 y z)))
(/.f64 (*.f64 (+.f64 (/.f64 (/.f64 y z) (/.f64 z y)) #s(literal -1 binary64)) x) (+.f64 (/.f64 y z) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 z (/.f64 y (/.f64 z y))) z))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 y z) #s(literal -1 binary64)) (/.f64 z y)))) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 z (/.f64 y (/.f64 z y))) z))) (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 y z) #s(literal -1 binary64)) (/.f64 z y)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) (/.f64 z y))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y z))) x))
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(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 z z)) (-.f64 #s(literal 0 binary64) (-.f64 y z)))
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(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) (*.f64 (+.f64 (*.f64 y y) (*.f64 z (-.f64 z y))) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) (*.f64 (-.f64 y z) (+.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z z) (+.f64 (*.f64 y y) (*.f64 z z))))))
(/.f64 (-.f64 (*.f64 z z) (*.f64 y y)) (-.f64 z y))
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(/.f64 (-.f64 (*.f64 (*.f64 y y) (-.f64 y z)) (*.f64 (-.f64 y z) (*.f64 z z))) (*.f64 (-.f64 y z) (-.f64 y z)))
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(/.f64 (*.f64 (-.f64 (*.f64 y y) (*.f64 z z)) #s(literal 1 binary64)) (-.f64 y z))
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(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (+.f64 (*.f64 y y) (*.f64 z (-.f64 z y)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z z) (+.f64 (*.f64 y y) (*.f64 z z)))) (-.f64 y z)))
(/.f64 (*.f64 (-.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 z (*.f64 z (*.f64 z z)))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 y y) (*.f64 z z)) (-.f64 y z)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) (*.f64 z (-.f64 z y))))))
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(/.f64 (neg.f64 (-.f64 (*.f64 z z) (*.f64 y y))) (neg.f64 (-.f64 z y)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (-.f64 y z)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) (-.f64 y z)) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 y y) (-.f64 y z)) (/.f64 (*.f64 y y) (-.f64 y z))) (+.f64 (*.f64 (/.f64 (*.f64 z z) (-.f64 y z)) (/.f64 (*.f64 z z) (-.f64 y z))) (*.f64 (/.f64 (*.f64 y y) (-.f64 y z)) (/.f64 (*.f64 z z) (-.f64 y z))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (-.f64 y z)) (/.f64 (*.f64 y y) (-.f64 y z))) (*.f64 (/.f64 (*.f64 z z) (-.f64 y z)) (/.f64 (*.f64 z z) (-.f64 y z)))) (+.f64 (/.f64 (*.f64 y y) (-.f64 y z)) (/.f64 (*.f64 z z) (-.f64 y z))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (*.f64 z (-.f64 z y))))) (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (*.f64 z z)) (-.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))))))
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(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y z)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 y z))
(*.f64 (+.f64 y z) (/.f64 (-.f64 y z) (-.f64 y z)))
(*.f64 (+.f64 y z) (*.f64 (-.f64 y z) (/.f64 #s(literal 1 binary64) (-.f64 y z))))
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(*.f64 (+.f64 (*.f64 y y) (*.f64 z (-.f64 z y))) (/.f64 (+.f64 y z) (+.f64 (*.f64 y y) (*.f64 z (-.f64 z y)))))
(*.f64 (+.f64 (*.f64 y y) (*.f64 z (-.f64 z y))) (*.f64 (+.f64 y z) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (*.f64 z (-.f64 z y))))))
(*.f64 (-.f64 (*.f64 y y) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 y z)))
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(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)) (-.f64 (*.f64 y y) (*.f64 z z)))
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(*.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 z z)) (-.f64 (*.f64 y y) (*.f64 z z))) (+.f64 y z))
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(*.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 z z)) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (+.f64 (*.f64 y y) (*.f64 z (+.f64 y z))))

simplify156.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
2374×fnmadd-define
1892×fmsub-define
1886×fnmsub-define
1594×fma-lowering-fma.f32
1594×fmm-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
056858
1201798
2573798
31754798
45175798
08356798
Stop Event
1×iter limit
1×node limit
Counts
180 → 180
Calls
Call 1
Inputs
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(/ (* x y) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
1
(+ 1 (/ y z))
(+ 1 (/ y z))
(+ 1 (/ y z))
(/ y z)
(* y (+ (/ 1 y) (/ 1 z)))
(* y (+ (/ 1 y) (/ 1 z)))
(* y (+ (/ 1 y) (/ 1 z)))
(/ y z)
(* y (+ (/ 1 y) (/ 1 z)))
(* y (+ (/ 1 y) (/ 1 z)))
(* y (+ (/ 1 y) (/ 1 z)))
(/ y z)
(/ (+ y z) z)
(/ (+ y z) z)
(/ (+ y z) z)
1
(+ 1 (/ y z))
(+ 1 (/ y z))
(+ 1 (/ y z))
1
(+ 1 (/ y z))
(+ 1 (/ y z))
(+ 1 (/ y z))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
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(/ y z)
(/ y z)
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(/ (* x (+ y z)) z)
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(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
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(/ (* x (+ y z)) z)
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(/ (* x (+ y z)) z)
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x
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(/ (* x y) z)
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(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
x
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x
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(* x (+ y z))
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(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x z)
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(* x y)
(* y (+ x (/ (* x z) y)))
(* y (+ x (/ (* x z) y)))
(* y (+ x (/ (* x z) y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* x y)
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(* x z)
(* z (+ x (/ (* x y) z)))
(* z (+ x (/ (* x y) z)))
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(* x z)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
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(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
z
(+ y z)
(+ y z)
(+ y z)
y
(* y (+ 1 (/ z y)))
(* y (+ 1 (/ z y)))
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y
(* -1 (* y (- (* -1 (/ z y)) 1)))
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(+ y z)
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z
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z
(* -1 (* z (- (* -1 (/ y z)) 1)))
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(* -1 (* z (- (* -1 (/ y z)) 1)))
Outputs
(* x (+ 1 (/ y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* x (+ 1 (/ y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
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(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
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1
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(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ (* x (+ y z)) z)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ (* x (+ y z)) z)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ (* x (+ y z)) z)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ (* x (+ y z)) z)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ (* x (+ y z)) z)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ (* x (+ y z)) z)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
x
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ (* x y) z)
(/.f64 x (/.f64 z y))
(* y (+ (/ x y) (/ x z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* y (+ (/ x y) (/ x z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* y (+ (/ x y) (/ x z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ (* x y) z)
(/.f64 x (/.f64 z y))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ (* x y) z)
(/.f64 x (/.f64 z y))
(/ (+ (* x y) (* x z)) z)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ (+ (* x y) (* x z)) z)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ (+ (* x y) (* x z)) z)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
x
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
x
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x z)
(*.f64 x z)
(+ (* x y) (* x z))
(*.f64 x (+.f64 y z))
(+ (* x y) (* x z))
(*.f64 x (+.f64 y z))
(+ (* x y) (* x z))
(*.f64 x (+.f64 y z))
(* x y)
(*.f64 x y)
(* y (+ x (/ (* x z) y)))
(*.f64 x (+.f64 y z))
(* y (+ x (/ (* x z) y)))
(*.f64 x (+.f64 y z))
(* y (+ x (/ (* x z) y)))
(*.f64 x (+.f64 y z))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(*.f64 x (+.f64 y z))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(*.f64 x (+.f64 y z))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(*.f64 x (+.f64 y z))
(* x y)
(*.f64 x y)
(+ (* x y) (* x z))
(*.f64 x (+.f64 y z))
(+ (* x y) (* x z))
(*.f64 x (+.f64 y z))
(+ (* x y) (* x z))
(*.f64 x (+.f64 y z))
(* x z)
(*.f64 x z)
(* z (+ x (/ (* x y) z)))
(*.f64 x (+.f64 y z))
(* z (+ x (/ (* x y) z)))
(*.f64 x (+.f64 y z))
(* z (+ x (/ (* x y) z)))
(*.f64 x (+.f64 y z))
(* x z)
(*.f64 x z)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(*.f64 x (+.f64 y z))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(*.f64 x (+.f64 y z))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(*.f64 x (+.f64 y z))
z
(+ y z)
(+.f64 y z)
(+ y z)
(+.f64 y z)
(+ y z)
(+.f64 y z)
y
(* y (+ 1 (/ z y)))
(+.f64 y z)
(* y (+ 1 (/ z y)))
(+.f64 y z)
(* y (+ 1 (/ z y)))
(+.f64 y z)
y
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+.f64 y z)
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+.f64 y z)
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+.f64 y z)
y
(+ y z)
(+.f64 y z)
(+ y z)
(+.f64 y z)
(+ y z)
(+.f64 y z)
z
(* z (+ 1 (/ y z)))
(+.f64 y z)
(* z (+ 1 (/ y z)))
(+.f64 y z)
(* z (+ 1 (/ y z)))
(+.f64 y z)
z
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+.f64 y z)
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+.f64 y z)
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+.f64 y z)

eval52.0ms (0.9%)

Compiler

Compiled 8356 to 966 computations (88.4% saved)

prune49.0ms (0.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New4828490
Fresh000
Picked112
Done000
Total4839492
Accuracy
100.0%
Counts
492 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.4%
(/.f64 (/.f64 (*.f64 (+.f64 y z) (*.f64 (-.f64 y z) x)) (-.f64 y z)) z)
▶63.8%
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 z (/.f64 y (/.f64 z y))) z)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 y z) #s(literal -1 binary64)) (/.f64 z y))))
47.3%
(/.f64 (*.f64 x y) z)
▶48.3%
(/.f64 x (/.f64 z y))
▶96.6%
(+.f64 (/.f64 x (/.f64 z y)) x)
▶88.8%
(*.f64 (/.f64 x z) (+.f64 y z))
48.3%
(*.f64 x (/.f64 y z))
✓96.6%
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
▶50.2%
x
Compiler

Compiled 202 to 119 computations (41.1% saved)

simplify197.0ms (3.3%)

Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 y (*.f64 (/.f64 z (/.f64 y (/.f64 z y))) z))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 z (/.f64 y (/.f64 z y))) z)))
✓cost-diff0
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 z (/.f64 y (/.f64 z y))) z))))
✓cost-diff256
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 z (/.f64 y (/.f64 z y))) z)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 y z) #s(literal -1 binary64)) (/.f64 z y))))
✓cost-diff0
(+.f64 y z)
✓cost-diff0
(/.f64 x z)
✓cost-diff0
(*.f64 (/.f64 x z) (+.f64 y z))
✓cost-diff0
(/.f64 z y)
✓cost-diff0
(/.f64 x (/.f64 z y))
✓cost-diff0
(/.f64 z y)
✓cost-diff0
(/.f64 x (/.f64 z y))
✓cost-diff0
(+.f64 (/.f64 x (/.f64 z y)) x)
Rules
3146×*-lowering-*.f32
3146×*-lowering-*.f64
2450×fma-define
1944×fma-lowering-fma.f32
1944×fma-lowering-fma.f64
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
022169
157165
2122162
3330162
4923137
52211137
62964136
73576136
84622136
96120136
08468136
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (/ x (/ z y)) x)
(/ x (/ z y))
x
(/ z y)
z
y
x
(/ x (/ z y))
x
(/ z y)
z
y
(* (/ x z) (+ y z))
(/ x z)
x
z
(+ y z)
y
(/ (* x (+ 1 (/ y (* (/ z (/ y (/ z y))) z)))) (+ 1 (/ (+ (/ y z) -1) (/ z y))))
(* x (+ 1 (/ y (* (/ z (/ y (/ z y))) z))))
x
(+ 1 (/ y (* (/ z (/ y (/ z y))) z)))
1
(/ y (* (/ z (/ y (/ z y))) z))
y
(* (/ z (/ y (/ z y))) z)
(/ z (/ y (/ z y)))
z
(/ y (/ z y))
(/ z y)
(+ 1 (/ (+ (/ y z) -1) (/ z y)))
(/ (+ (/ y z) -1) (/ z y))
(+ (/ y z) -1)
(/ y z)
-1
Outputs
(+ (/ x (/ z y)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ x (/ z y))
(/.f64 (*.f64 x y) z)
x
(/ z y)
(/.f64 z y)
z
y
x
(/ x (/ z y))
(/.f64 (*.f64 x y) z)
x
(/ z y)
(/.f64 z y)
z
y
(* (/ x z) (+ y z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ x z)
(/.f64 x z)
x
z
(+ y z)
(+.f64 z y)
y
(/ (* x (+ 1 (/ y (* (/ z (/ y (/ z y))) z)))) (+ 1 (/ (+ (/ y z) -1) (/ z y))))
(/.f64 (*.f64 x (+.f64 z (/.f64 y (/.f64 (/.f64 z (/.f64 y z)) y)))) (+.f64 z (*.f64 y (+.f64 (/.f64 y z) #s(literal -1 binary64)))))
(* x (+ 1 (/ y (* (/ z (/ y (/ z y))) z))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) (/.f64 (/.f64 z (/.f64 y z)) y))))
x
(+ 1 (/ y (* (/ z (/ y (/ z y))) z)))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) (/.f64 (/.f64 z (/.f64 y z)) y)))
1
#s(literal 1 binary64)
(/ y (* (/ z (/ y (/ z y))) z))
(/.f64 (/.f64 y z) (/.f64 (/.f64 z (/.f64 y z)) y))
y
(* (/ z (/ y (/ z y))) z)
(/.f64 z (/.f64 y (/.f64 z (/.f64 y z))))
(/ z (/ y (/ z y)))
(/.f64 (/.f64 z (/.f64 y z)) y)
z
(/ y (/ z y))
(/.f64 y (/.f64 z y))
(/ z y)
(/.f64 z y)
(+ 1 (/ (+ (/ y z) -1) (/ z y)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) z))
(/ (+ (/ y z) -1) (/ z y))
(/.f64 (+.f64 (/.f64 y z) #s(literal -1 binary64)) (/.f64 z y))
(+ (/ y z) -1)
(+.f64 (/.f64 y z) #s(literal -1 binary64))
(/ y z)
(/.f64 y z)
-1
#s(literal -1 binary64)

localize103.0ms (1.7%)

Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓accuracy96.6%
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 z (/.f64 y (/.f64 z y))) z))))
✓accuracy95.1%
(/.f64 y (*.f64 (/.f64 z (/.f64 y (/.f64 z y))) z))
✓accuracy92.3%
(/.f64 z (/.f64 y (/.f64 z y)))
✓accuracy72.1%
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 z (/.f64 y (/.f64 z y))) z)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 y z) #s(literal -1 binary64)) (/.f64 z y))))
✓accuracy100.0%
(/.f64 x z)
✓accuracy100.0%
(+.f64 y z)
✓accuracy88.8%
(*.f64 (/.f64 x z) (+.f64 y z))
✓accuracy100.0%
(/.f64 z y)
✓accuracy92.4%
(/.f64 x (/.f64 z y))
✓accuracy100.0%
(/.f64 z y)
✓accuracy100.0%
(+.f64 (/.f64 x (/.f64 z y)) x)
✓accuracy92.4%
(/.f64 x (/.f64 z y))
Results
72.0ms256×0valid
Compiler

Compiled 173 to 23 computations (86.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-div: 29.0ms (71.6% of total)
ival-add: 6.0ms (14.8% of total)
ival-mult: 5.0ms (12.3% of total)
const: 1.0ms (2.5% of total)
backward-pass: 0.0ms (0% of total)

series27.0ms (0.5%)

Counts
11 → 324
Calls
Call 1
Inputs
#<alt (+ (/ x (/ z y)) x)>
#<alt (/ x (/ z y))>
#<alt (/ z y)>
#<alt (* (/ x z) (+ y z))>
#<alt (/ x z)>
#<alt (+ y z)>
#<alt (/ (* x (+ 1 (/ y (* (/ z (/ y (/ z y))) z)))) (+ 1 (/ (+ (/ y z) -1) (/ z y))))>
#<alt (* x (+ 1 (/ y (* (/ z (/ y (/ z y))) z))))>
#<alt (+ 1 (/ y (* (/ z (/ y (/ z y))) z)))>
#<alt (/ y (* (/ z (/ y (/ z y))) z))>
#<alt (/ z (/ y (/ z y)))>
Outputs
#<alt (* x (+ 1 (/ y z)))>
#<alt (* x (+ 1 (/ y z)))>
#<alt (* x (+ 1 (/ y z)))>
#<alt (* x (+ 1 (/ y z)))>
#<alt (* x (+ 1 (/ y z)))>
#<alt (* x (+ 1 (/ y z)))>
#<alt (* x (+ 1 (/ y z)))>
#<alt (* x (+ 1 (/ y z)))>
#<alt (* -1 (* x (- (* -1 (/ y z)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y z)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y z)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y z)) 1)))>
#<alt (/ (* x y) z)>
#<alt (/ (+ (* x y) (* x z)) z)>
#<alt (/ (+ (* x y) (* x z)) z)>
#<alt (/ (+ (* x y) (* x z)) z)>
#<alt x>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt x>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt x>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt (/ (* x y) z)>
#<alt (* y (+ (/ x y) (/ x z)))>
#<alt (* y (+ (/ x y) (/ x z)))>
#<alt (* y (+ (/ x y) (/ x z)))>
#<alt (/ (* x y) z)>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x 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 (/ (* 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 (/ (* 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 (/ 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 (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x y) z)>
#<alt (/ (+ (* x y) (* x z)) z)>
#<alt (/ (+ (* x y) (* x z)) z)>
#<alt (/ (+ (* x y) (* x z)) z)>
#<alt x>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt x>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt x>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt (/ (* x y) z)>
#<alt (* y (+ (/ x y) (/ x z)))>
#<alt (* y (+ (/ x y) (/ x z)))>
#<alt (* y (+ (/ x y) (/ x z)))>
#<alt (/ (* x y) z)>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt z>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt y>
#<alt (* y (+ 1 (/ z y)))>
#<alt (* y (+ 1 (/ z y)))>
#<alt (* y (+ 1 (/ z y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))>
#<alt y>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt z>
#<alt (* z (+ 1 (/ y z)))>
#<alt (* z (+ 1 (/ y z)))>
#<alt (* z (+ 1 (/ y z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))>
#<alt (/ (* x (+ 1 (/ (pow y 3) (pow z 3)))) (+ 1 (/ (* y (- (/ y z) 1)) z)))>
#<alt (/ (* x (+ 1 (/ (pow y 3) (pow z 3)))) (+ 1 (/ (* y (- (/ y z) 1)) z)))>
#<alt (/ (* x (+ 1 (/ (pow y 3) (pow z 3)))) (+ 1 (/ (* y (- (/ y z) 1)) z)))>
#<alt (/ (* x (+ 1 (/ (pow y 3) (pow z 3)))) (+ 1 (/ (* y (- (/ y z) 1)) z)))>
#<alt (/ (* x (+ 1 (/ (pow y 3) (pow z 3)))) (+ 1 (/ (* y (- (/ y z) 1)) z)))>
#<alt (/ (* x (+ 1 (/ (pow y 3) (pow z 3)))) (+ 1 (/ (* y (- (/ y z) 1)) z)))>
#<alt (/ (* x (+ 1 (/ (pow y 3) (pow z 3)))) (+ 1 (/ (* y (- (/ y z) 1)) z)))>
#<alt (/ (* x (+ 1 (/ (pow y 3) (pow z 3)))) (+ 1 (/ (* y (- (/ y z) 1)) z)))>
#<alt (/ (* x (+ 1 (/ (pow y 3) (pow z 3)))) (+ 1 (/ (* y (- (/ y z) 1)) z)))>
#<alt (/ (* x (+ 1 (/ (pow y 3) (pow z 3)))) (+ 1 (/ (* y (- (/ y z) 1)) z)))>
#<alt (/ (* x (+ 1 (/ (pow y 3) (pow z 3)))) (+ 1 (/ (* y (- (/ y z) 1)) z)))>
#<alt (/ (* x (+ 1 (/ (pow y 3) (pow z 3)))) (+ 1 (/ (* y (- (/ y z) 1)) z)))>
#<alt x>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (* y (- (* -1 (* y (+ (* -1 (/ x (pow z 2))) (/ x (pow z 2))))) (* -1 (/ x z)))))>
#<alt (+ x (* y (- (* y (- (* y (- (/ x (pow z 3)) (+ (* -1 (/ x (pow z 3))) (* 2 (/ x (pow z 3)))))) (+ (* -1 (/ x (pow z 2))) (/ x (pow z 2))))) (* -1 (/ x z)))))>
#<alt (/ (* x y) z)>
#<alt (* y (+ (/ x y) (/ x z)))>
#<alt (* y (- (+ (* -1 (/ (+ (* -1 (* x z)) (* x z)) (pow y 2))) (/ x z)) (* -1 (/ x y))))>
#<alt (* y (- (+ (* -1 (/ (* z (+ (* -1 (* x z)) (* x z))) (pow y 3))) (/ x z)) (+ (* -1 (/ x y)) (+ (* -1 (/ (* x z) (pow y 2))) (/ (* x z) (pow y 2))))))>
#<alt (/ (* x y) z)>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))>
#<alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (- (+ (* -1 (/ (* x z) y)) (/ (* x z) y)) (* -1 x)) y)))))>
#<alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* z (+ (* -1 (* x z)) (* x z))) y)) (+ (* -1 (* x z)) (* x z))) y)) (* -1 x)) y)))))>
#<alt (/ (* x y) z)>
#<alt (/ (+ (* x y) (* x z)) z)>
#<alt (/ (+ (* x y) (* z (- (* -1 (* z (+ (* -1 (/ x y)) (/ x y)))) (* -1 x)))) z)>
#<alt (/ (+ (* x y) (* z (- (* z (- (* z (- (/ x (pow y 2)) (+ (* -1 (/ x (pow y 2))) (* 2 (/ x (pow y 2)))))) (+ (* -1 (/ x y)) (/ x y)))) (* -1 x)))) z)>
#<alt x>
#<alt (+ x (/ (* x y) z))>
#<alt (- (+ x (* -1 (/ (+ (* -1 (* x (pow y 2))) (* x (pow y 2))) (pow z 2)))) (* -1 (/ (* x y) z)))>
#<alt (- (+ x (* -1 (/ (* y (+ (* -1 (* x (pow y 2))) (* x (pow y 2)))) (pow z 3)))) (+ (* -1 (/ (* x y) z)) (+ (* -1 (/ (* x (pow y 2)) (pow z 2))) (/ (* x (pow y 2)) (pow z 2)))))>
#<alt x>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (* -1 (/ (- (+ (* -1 (/ (* x (pow y 2)) z)) (/ (* x (pow y 2)) z)) (* x y)) z)))>
#<alt (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* y (+ (* -1 (* x (pow y 2))) (* x (pow y 2)))) z)) (+ (* -1 (* x (pow y 2))) (* x (pow y 2)))) z)) (* x y)) z)))>
#<alt (* x (+ 1 (/ (pow y 3) (pow z 3))))>
#<alt (* x (+ 1 (/ (pow y 3) (pow z 3))))>
#<alt (* x (+ 1 (/ (pow y 3) (pow z 3))))>
#<alt (* x (+ 1 (/ (pow y 3) (pow z 3))))>
#<alt (* x (+ 1 (/ (pow y 3) (pow z 3))))>
#<alt (* x (+ 1 (/ (pow y 3) (pow z 3))))>
#<alt (* x (+ 1 (/ (pow y 3) (pow z 3))))>
#<alt (* x (+ 1 (/ (pow y 3) (pow z 3))))>
#<alt (* x (+ 1 (/ (pow y 3) (pow z 3))))>
#<alt (* x (+ 1 (/ (pow y 3) (pow z 3))))>
#<alt (* x (+ 1 (/ (pow y 3) (pow z 3))))>
#<alt (* x (+ 1 (/ (pow y 3) (pow z 3))))>
#<alt x>
#<alt (+ x (/ (* x (pow y 3)) (pow z 3)))>
#<alt (+ x (/ (* x (pow y 3)) (pow z 3)))>
#<alt (+ x (/ (* x (pow y 3)) (pow z 3)))>
#<alt (/ (* x (pow y 3)) (pow z 3))>
#<alt (* (pow y 3) (+ (/ x (pow y 3)) (/ x (pow z 3))))>
#<alt (* (pow y 3) (+ (/ x (pow y 3)) (/ x (pow z 3))))>
#<alt (* (pow y 3) (+ (/ x (pow y 3)) (/ x (pow z 3))))>
#<alt (/ (* x (pow y 3)) (pow z 3))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 3))) (* -1 (/ x (pow z 3))))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 3))) (* -1 (/ x (pow z 3))))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 3))) (* -1 (/ x (pow z 3))))))>
#<alt (/ (* x (pow y 3)) (pow z 3))>
#<alt (/ (+ (* x (pow y 3)) (* x (pow z 3))) (pow z 3))>
#<alt (/ (+ (* x (pow y 3)) (* x (pow z 3))) (pow z 3))>
#<alt (/ (+ (* x (pow y 3)) (* x (pow z 3))) (pow z 3))>
#<alt x>
#<alt (+ x (/ (* x (pow y 3)) (pow z 3)))>
#<alt (+ x (/ (* x (pow y 3)) (pow z 3)))>
#<alt (+ x (/ (* x (pow y 3)) (pow z 3)))>
#<alt x>
#<alt (+ x (/ (* x (pow y 3)) (pow z 3)))>
#<alt (+ x (/ (* x (pow y 3)) (pow z 3)))>
#<alt (+ x (/ (* x (pow y 3)) (pow z 3)))>
#<alt 1>
#<alt (+ 1 (/ (pow y 3) (pow z 3)))>
#<alt (+ 1 (/ (pow y 3) (pow z 3)))>
#<alt (+ 1 (/ (pow y 3) (pow z 3)))>
#<alt (/ (pow y 3) (pow z 3))>
#<alt (* (pow y 3) (+ (/ 1 (pow y 3)) (/ 1 (pow z 3))))>
#<alt (* (pow y 3) (+ (/ 1 (pow y 3)) (/ 1 (pow z 3))))>
#<alt (* (pow y 3) (+ (/ 1 (pow y 3)) (/ 1 (pow z 3))))>
#<alt (/ (pow y 3) (pow z 3))>
#<alt (* (pow y 3) (+ (/ 1 (pow y 3)) (/ 1 (pow z 3))))>
#<alt (* (pow y 3) (+ (/ 1 (pow y 3)) (/ 1 (pow z 3))))>
#<alt (* (pow y 3) (+ (/ 1 (pow y 3)) (/ 1 (pow z 3))))>
#<alt (/ (pow y 3) (pow z 3))>
#<alt (/ (+ (pow y 3) (pow z 3)) (pow z 3))>
#<alt (/ (+ (pow y 3) (pow z 3)) (pow z 3))>
#<alt (/ (+ (pow y 3) (pow z 3)) (pow z 3))>
#<alt 1>
#<alt (+ 1 (/ (pow y 3) (pow z 3)))>
#<alt (+ 1 (/ (pow y 3) (pow z 3)))>
#<alt (+ 1 (/ (pow y 3) (pow z 3)))>
#<alt 1>
#<alt (+ 1 (/ (pow y 3) (pow z 3)))>
#<alt (+ 1 (/ (pow y 3) (pow z 3)))>
#<alt (+ 1 (/ (pow y 3) (pow z 3)))>
#<alt (/ (pow y 3) (pow z 3))>
#<alt (/ (pow y 3) (pow z 3))>
#<alt (/ (pow y 3) (pow z 3))>
#<alt (/ (pow y 3) (pow z 3))>
#<alt (/ (pow y 3) (pow z 3))>
#<alt (/ (pow y 3) (pow z 3))>
#<alt (/ (pow y 3) (pow z 3))>
#<alt (/ (pow y 3) (pow z 3))>
#<alt (/ (pow y 3) (pow z 3))>
#<alt (/ (pow y 3) (pow z 3))>
#<alt (/ (pow y 3) (pow z 3))>
#<alt (/ (pow y 3) (pow z 3))>
#<alt (/ (pow y 3) (pow z 3))>
#<alt (/ (pow y 3) (pow z 3))>
#<alt (/ (pow y 3) (pow z 3))>
#<alt (/ (pow y 3) (pow z 3))>
#<alt (/ (pow y 3) (pow z 3))>
#<alt (/ (pow y 3) (pow z 3))>
#<alt (/ (pow y 3) (pow z 3))>
#<alt (/ (pow y 3) (pow z 3))>
#<alt (/ (pow y 3) (pow z 3))>
#<alt (/ (pow y 3) (pow z 3))>
#<alt (/ (pow y 3) (pow z 3))>
#<alt (/ (pow y 3) (pow z 3))>
#<alt (/ (pow z 2) (pow y 2))>
#<alt (/ (pow z 2) (pow y 2))>
#<alt (/ (pow z 2) (pow y 2))>
#<alt (/ (pow z 2) (pow y 2))>
#<alt (/ (pow z 2) (pow y 2))>
#<alt (/ (pow z 2) (pow y 2))>
#<alt (/ (pow z 2) (pow y 2))>
#<alt (/ (pow z 2) (pow y 2))>
#<alt (/ (pow z 2) (pow y 2))>
#<alt (/ (pow z 2) (pow y 2))>
#<alt (/ (pow z 2) (pow y 2))>
#<alt (/ (pow z 2) (pow y 2))>
#<alt (/ (pow z 2) (pow y 2))>
#<alt (/ (pow z 2) (pow y 2))>
#<alt (/ (pow z 2) (pow y 2))>
#<alt (/ (pow z 2) (pow y 2))>
#<alt (/ (pow z 2) (pow y 2))>
#<alt (/ (pow z 2) (pow y 2))>
#<alt (/ (pow z 2) (pow y 2))>
#<alt (/ (pow z 2) (pow y 2))>
#<alt (/ (pow z 2) (pow y 2))>
#<alt (/ (pow z 2) (pow y 2))>
#<alt (/ (pow z 2) (pow y 2))>
#<alt (/ (pow z 2) (pow y 2))>
Calls

81 calls:

TimeVariablePointExpression
5.0ms
x
@0
(/ (* x (+ 1 (/ y (* (/ z (/ y (/ z y))) z)))) (+ 1 (/ (+ (/ y z) -1) (/ z y))))
1.0ms
z
@inf
(/ (* x (+ 1 (/ y (* (/ z (/ y (/ z y))) z)))) (+ 1 (/ (+ (/ y z) -1) (/ z y))))
1.0ms
x
@inf
(/ (* x (+ 1 (/ y (* (/ z (/ y (/ z y))) z)))) (+ 1 (/ (+ (/ y z) -1) (/ z y))))
1.0ms
z
@0
(* x (+ 1 (/ y (* (/ z (/ y (/ z y))) z))))
1.0ms
y
@inf
(* x (+ 1 (/ y (* (/ z (/ y (/ z y))) z))))

rewrite367.0ms (6.2%)

Algorithm
1×batch-egg-rewrite
Rules
5146×*-lowering-*.f32
5146×*-lowering-*.f64
4148×/-lowering-/.f32
4148×/-lowering-/.f64
2086×--lowering--.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
022101
116385
2161870
0895270
Stop Event
1×iter limit
1×node limit
Counts
11 → 493
Calls
Call 1
Inputs
(+ (/ x (/ z y)) x)
(/ x (/ z y))
(/ z y)
(* (/ x z) (+ y z))
(/ x z)
(+ y z)
(/ (* x (+ 1 (/ y (* (/ z (/ y (/ z y))) z)))) (+ 1 (/ (+ (/ y z) -1) (/ z y))))
(* x (+ 1 (/ y (* (/ z (/ y (/ z y))) z))))
(+ 1 (/ y (* (/ z (/ y (/ z y))) z)))
(/ y (* (/ z (/ y (/ z y))) z))
(/ z (/ y (/ z y)))
Outputs
(+.f64 x (/.f64 x (/.f64 z y)))
(+.f64 (/.f64 x (/.f64 z y)) x)
(-.f64 (/.f64 (/.f64 (/.f64 x (/.f64 z y)) (/.f64 z (*.f64 x y))) (-.f64 (/.f64 x (/.f64 z y)) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 x (/.f64 z y)) x)))
(fma.f64 x #s(literal 1 binary64) (/.f64 x (/.f64 z y)))
(fma.f64 x (/.f64 y z) x)
(fma.f64 z (/.f64 x z) (/.f64 x (/.f64 z y)))
(fma.f64 y (/.f64 x z) x)
(fma.f64 (/.f64 x z) z (/.f64 x (/.f64 z y)))
(fma.f64 (/.f64 x z) y x)
(fma.f64 #s(literal 1 binary64) x (/.f64 x (/.f64 z y)))
(fma.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z y)) x)
(fma.f64 (/.f64 y z) x x)
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (/.f64 z y)) x)
(fma.f64 (/.f64 x (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) y) x)
(fma.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) z) x)
(fma.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) z) (/.f64 x (/.f64 z y)))
(fma.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) z) x)
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y z) x)
(/.f64 (+.f64 z y) (/.f64 z x))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x (+.f64 z y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 x (/.f64 z y)) (/.f64 z (*.f64 x y))) (*.f64 x (-.f64 x (/.f64 x (/.f64 z y))))) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y)))) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 x (/.f64 z y)) x) (-.f64 (/.f64 (/.f64 x (/.f64 z y)) (/.f64 z (*.f64 x y))) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (*.f64 x (+.f64 z y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 x (/.f64 z y)) (/.f64 z (*.f64 x y))) (*.f64 x (-.f64 x (/.f64 x (/.f64 z y))))) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y)))) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 x (/.f64 z y)) x) (-.f64 (/.f64 (/.f64 x (/.f64 z y)) (/.f64 z (*.f64 x y))) (*.f64 x x)))))
(/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y)))) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 (/.f64 x (/.f64 z y)) (/.f64 z (*.f64 x y))) (*.f64 x (-.f64 x (/.f64 x (/.f64 z y))))))
(/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y)))) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 x (/.f64 z y)) x) (/.f64 z (*.f64 x y)))))
(/.f64 (-.f64 (/.f64 (/.f64 x (/.f64 z y)) (/.f64 z (*.f64 x y))) (*.f64 x x)) (-.f64 (/.f64 x (/.f64 z y)) x))
(/.f64 (*.f64 x (+.f64 z y)) z)
(/.f64 (*.f64 x (+.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (*.f64 z (+.f64 (*.f64 y y) (*.f64 z (-.f64 z y)))))
(/.f64 (*.f64 x (-.f64 (*.f64 y y) (*.f64 z z))) (*.f64 z (-.f64 y z)))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (*.f64 (/.f64 z x) (+.f64 (*.f64 y y) (*.f64 z (-.f64 z y)))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) (*.f64 z z))) (*.f64 (/.f64 z x) (-.f64 y z)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (*.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 (*.f64 y y) (*.f64 z (-.f64 z y)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 (*.f64 y y) (*.f64 z z))) (*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 y z)))
(/.f64 (*.f64 (+.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) x) (*.f64 (+.f64 (*.f64 y y) (*.f64 z (-.f64 z y))) z))
(/.f64 (*.f64 (+.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 y y) (*.f64 z (-.f64 z y))) (/.f64 z x)))
(/.f64 (*.f64 (+.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (-.f64 #s(literal 0 binary64) x)) (*.f64 (+.f64 (*.f64 y y) (*.f64 z (-.f64 z y))) (-.f64 #s(literal 0 binary64) z)))
(/.f64 (*.f64 (-.f64 (*.f64 y y) (*.f64 z z)) x) (*.f64 (-.f64 y z) z))
(/.f64 (*.f64 (-.f64 (*.f64 y y) (*.f64 z z)) #s(literal 1 binary64)) (*.f64 (-.f64 y z) (/.f64 z x)))
(/.f64 (*.f64 (-.f64 (*.f64 y y) (*.f64 z z)) (-.f64 #s(literal 0 binary64) x)) (*.f64 (-.f64 y z) (-.f64 #s(literal 0 binary64) z)))
(/.f64 (neg.f64 (*.f64 x (+.f64 z y))) (-.f64 #s(literal 0 binary64) z))
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y)))) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 (/.f64 (/.f64 x (/.f64 z y)) (/.f64 z (*.f64 x y))) (*.f64 x (-.f64 x (/.f64 x (/.f64 z y)))))))
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y)))) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 x (/.f64 z y)) x) (/.f64 z (*.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (/.f64 x (/.f64 z y)) (/.f64 z (*.f64 x y))) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 x (/.f64 z y)) x)))
(/.f64 (-.f64 (*.f64 x x) (/.f64 (/.f64 x (/.f64 z y)) (/.f64 z (*.f64 x y)))) (-.f64 x (/.f64 x (/.f64 z y))))
(/.f64 (*.f64 (/.f64 x z) (+.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (+.f64 (*.f64 y y) (*.f64 z (-.f64 z y))))
(/.f64 (*.f64 (/.f64 x z) (-.f64 (*.f64 y y) (*.f64 z z))) (-.f64 y z))
(/.f64 (*.f64 (+.f64 z y) #s(literal 1 binary64)) (/.f64 z x))
(/.f64 (*.f64 (+.f64 z y) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 z y)) (/.f64 z x))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 z y)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 (+.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (/.f64 x z)) (+.f64 (*.f64 y y) (*.f64 z (-.f64 z y))))
(/.f64 (*.f64 (-.f64 (*.f64 y y) (*.f64 z z)) (/.f64 x z)) (-.f64 y z))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 x (/.f64 z y)) (/.f64 z (*.f64 x y))) (-.f64 (/.f64 x (/.f64 z y)) x)) (*.f64 (-.f64 (/.f64 x (/.f64 z y)) x) (*.f64 x x))) (*.f64 (-.f64 (/.f64 x (/.f64 z y)) x) (-.f64 (/.f64 x (/.f64 z y)) x)))
(/.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (neg.f64 (*.f64 z (+.f64 (*.f64 y y) (*.f64 z (-.f64 z y))))))
(/.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 y y) (*.f64 z z)))) (neg.f64 (*.f64 z (-.f64 y z))))
(/.f64 (neg.f64 (+.f64 z y)) (neg.f64 (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (neg.f64 (*.f64 (/.f64 z x) (+.f64 (*.f64 y y) (*.f64 z (-.f64 z y))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) (*.f64 z z)))) (neg.f64 (*.f64 (/.f64 z x) (-.f64 y z))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 (*.f64 y y) (*.f64 z (-.f64 z y))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 (*.f64 y y) (*.f64 z z)))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 y z))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) x)) (neg.f64 (*.f64 (+.f64 (*.f64 y y) (*.f64 z (-.f64 z y))) z)))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (*.f64 y y) (*.f64 z (-.f64 z y))) (/.f64 z x))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (-.f64 #s(literal 0 binary64) x))) (neg.f64 (*.f64 (+.f64 (*.f64 y y) (*.f64 z (-.f64 z y))) (-.f64 #s(literal 0 binary64) z))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 y y) (*.f64 z z)) x)) (neg.f64 (*.f64 (-.f64 y z) z)))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 y y) (*.f64 z z)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 y z) (/.f64 z x))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 y y) (*.f64 z z)) (-.f64 #s(literal 0 binary64) x))) (neg.f64 (*.f64 (-.f64 y z) (-.f64 #s(literal 0 binary64) z))))
(/.f64 (neg.f64 (neg.f64 (*.f64 x (+.f64 z y)))) (neg.f64 (-.f64 #s(literal 0 binary64) z)))
(/.f64 (neg.f64 (*.f64 (/.f64 x z) (+.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (neg.f64 (+.f64 (*.f64 y y) (*.f64 z (-.f64 z y)))))
(/.f64 (neg.f64 (*.f64 (/.f64 x z) (-.f64 (*.f64 y y) (*.f64 z z)))) (neg.f64 (-.f64 y z)))
(/.f64 (neg.f64 (*.f64 (+.f64 z y) #s(literal 1 binary64))) (neg.f64 (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 (+.f64 z y) (-.f64 #s(literal 0 binary64) x))) (neg.f64 (-.f64 #s(literal 0 binary64) z)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 z y))) (neg.f64 (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 z y))) (neg.f64 (-.f64 #s(literal 0 binary64) z)))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (/.f64 x z))) (neg.f64 (+.f64 (*.f64 y y) (*.f64 z (-.f64 z y)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 y y) (*.f64 z z)) (/.f64 x z))) (neg.f64 (-.f64 y z)))
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(/.f64 (neg.f64 (*.f64 z (-.f64 #s(literal 0 binary64) z))) (neg.f64 (*.f64 y (-.f64 #s(literal 0 binary64) y))))
(/.f64 (neg.f64 (*.f64 (/.f64 z y) z)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (neg.f64 (*.f64 (/.f64 z y) (-.f64 #s(literal 0 binary64) z))) (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) z)) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) y)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 z y))) (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) z))) (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) z) y)))
(/.f64 (neg.f64 (*.f64 z #s(literal 1 binary64))) (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) z) y)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) z)) (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) z) y)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z))) (/.f64 y (/.f64 z y)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) (/.f64 y (/.f64 z y)))
(/.f64 (neg.f64 (/.f64 z (/.f64 y z))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (neg.f64 (*.f64 (/.f64 z y) #s(literal 1 binary64))) (neg.f64 (/.f64 y z)))
(pow.f64 (/.f64 z y) #s(literal 2 binary64))
(pow.f64 (/.f64 y z) #s(literal -2 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) y) #s(literal 2 binary64))
(pow.f64 (/.f64 y (*.f64 z (/.f64 z y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 y (*.f64 z (/.f64 z y))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 z (/.f64 z (*.f64 y y)))
(*.f64 (/.f64 z y) (/.f64 z y))
(*.f64 #s(literal 1 binary64) (/.f64 z (/.f64 y (/.f64 z y))))
(*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 #s(literal -1 binary64) (/.f64 y (/.f64 z y))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) y) (/.f64 (-.f64 #s(literal 0 binary64) z) y))
(*.f64 (*.f64 z z) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 z z) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal 2 binary64)))
(*.f64 (/.f64 z (*.f64 y y)) z)
(*.f64 (/.f64 z (*.f64 y y)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y z)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 (/.f64 y z) z) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 z y) z) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z (*.f64 y y)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)) (*.f64 z z))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal 2 binary64)) (*.f64 z z))

simplify257.0ms (4.3%)

Algorithm
1×egg-herbie
Rules
3340×*-lowering-*.f32
3340×*-lowering-*.f64
1444×+-lowering-+.f64
1444×+-lowering-+.f32
1436×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01832274
16712190
228162022
090712022
Stop Event
1×iter limit
1×node limit
Counts
324 → 324
Calls
Call 1
Inputs
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* -1 (* x (- (* -1 (/ y z)) 1)))
(* -1 (* x (- (* -1 (/ y z)) 1)))
(* -1 (* x (- (* -1 (/ y z)) 1)))
(* -1 (* x (- (* -1 (/ y z)) 1)))
(/ (* x y) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x 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)
(/ (* 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)
(/ (* 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)
(/ 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)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x y) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ 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 z)
(/ x z)
z
(+ y z)
(+ y z)
(+ y z)
y
(* y (+ 1 (/ z y)))
(* y (+ 1 (/ z y)))
(* y (+ 1 (/ z y)))
y
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
y
(+ y z)
(+ y z)
(+ y z)
z
(* z (+ 1 (/ y z)))
(* z (+ 1 (/ y z)))
(* z (+ 1 (/ y z)))
z
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(/ (* x (+ 1 (/ (pow y 3) (pow z 3)))) (+ 1 (/ (* y (- (/ y z) 1)) z)))
(/ (* x (+ 1 (/ (pow y 3) (pow z 3)))) (+ 1 (/ (* y (- (/ y z) 1)) z)))
(/ (* x (+ 1 (/ (pow y 3) (pow z 3)))) (+ 1 (/ (* y (- (/ y z) 1)) z)))
(/ (* x (+ 1 (/ (pow y 3) (pow z 3)))) (+ 1 (/ (* y (- (/ y z) 1)) z)))
(/ (* x (+ 1 (/ (pow y 3) (pow z 3)))) (+ 1 (/ (* y (- (/ y z) 1)) z)))
(/ (* x (+ 1 (/ (pow y 3) (pow z 3)))) (+ 1 (/ (* y (- (/ y z) 1)) z)))
(/ (* x (+ 1 (/ (pow y 3) (pow z 3)))) (+ 1 (/ (* y (- (/ y z) 1)) z)))
(/ (* x (+ 1 (/ (pow y 3) (pow z 3)))) (+ 1 (/ (* y (- (/ y z) 1)) z)))
(/ (* x (+ 1 (/ (pow y 3) (pow z 3)))) (+ 1 (/ (* y (- (/ y z) 1)) z)))
(/ (* x (+ 1 (/ (pow y 3) (pow z 3)))) (+ 1 (/ (* y (- (/ y z) 1)) z)))
(/ (* x (+ 1 (/ (pow y 3) (pow z 3)))) (+ 1 (/ (* y (- (/ y z) 1)) z)))
(/ (* x (+ 1 (/ (pow y 3) (pow z 3)))) (+ 1 (/ (* y (- (/ y z) 1)) z)))
x
(+ x (/ (* x y) z))
(+ x (* y (- (* -1 (* y (+ (* -1 (/ x (pow z 2))) (/ x (pow z 2))))) (* -1 (/ x z)))))
(+ x (* y (- (* y (- (* y (- (/ x (pow z 3)) (+ (* -1 (/ x (pow z 3))) (* 2 (/ x (pow z 3)))))) (+ (* -1 (/ x (pow z 2))) (/ x (pow z 2))))) (* -1 (/ x z)))))
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
(* y (- (+ (* -1 (/ (+ (* -1 (* x z)) (* x z)) (pow y 2))) (/ x z)) (* -1 (/ x y))))
(* y (- (+ (* -1 (/ (* z (+ (* -1 (* x z)) (* x z))) (pow y 3))) (/ x z)) (+ (* -1 (/ x y)) (+ (* -1 (/ (* x z) (pow y 2))) (/ (* x z) (pow y 2))))))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (- (+ (* -1 (/ (* x z) y)) (/ (* x z) y)) (* -1 x)) y)))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* z (+ (* -1 (* x z)) (* x z))) y)) (+ (* -1 (* x z)) (* x z))) y)) (* -1 x)) y)))))
(/ (* x y) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* z (- (* -1 (* z (+ (* -1 (/ x y)) (/ x y)))) (* -1 x)))) z)
(/ (+ (* x y) (* z (- (* z (- (* z (- (/ x (pow y 2)) (+ (* -1 (/ x (pow y 2))) (* 2 (/ x (pow y 2)))))) (+ (* -1 (/ x y)) (/ x y)))) (* -1 x)))) z)
x
(+ x (/ (* x y) z))
(- (+ x (* -1 (/ (+ (* -1 (* x (pow y 2))) (* x (pow y 2))) (pow z 2)))) (* -1 (/ (* x y) z)))
(- (+ x (* -1 (/ (* y (+ (* -1 (* x (pow y 2))) (* x (pow y 2)))) (pow z 3)))) (+ (* -1 (/ (* x y) z)) (+ (* -1 (/ (* x (pow y 2)) (pow z 2))) (/ (* x (pow y 2)) (pow z 2)))))
x
(+ x (/ (* x y) z))
(+ x (* -1 (/ (- (+ (* -1 (/ (* x (pow y 2)) z)) (/ (* x (pow y 2)) z)) (* x y)) z)))
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* y (+ (* -1 (* x (pow y 2))) (* x (pow y 2)))) z)) (+ (* -1 (* x (pow y 2))) (* x (pow y 2)))) z)) (* x y)) z)))
(* x (+ 1 (/ (pow y 3) (pow z 3))))
(* x (+ 1 (/ (pow y 3) (pow z 3))))
(* x (+ 1 (/ (pow y 3) (pow z 3))))
(* x (+ 1 (/ (pow y 3) (pow z 3))))
(* x (+ 1 (/ (pow y 3) (pow z 3))))
(* x (+ 1 (/ (pow y 3) (pow z 3))))
(* x (+ 1 (/ (pow y 3) (pow z 3))))
(* x (+ 1 (/ (pow y 3) (pow z 3))))
(* x (+ 1 (/ (pow y 3) (pow z 3))))
(* x (+ 1 (/ (pow y 3) (pow z 3))))
(* x (+ 1 (/ (pow y 3) (pow z 3))))
(* x (+ 1 (/ (pow y 3) (pow z 3))))
x
(+ x (/ (* x (pow y 3)) (pow z 3)))
(+ x (/ (* x (pow y 3)) (pow z 3)))
(+ x (/ (* x (pow y 3)) (pow z 3)))
(/ (* x (pow y 3)) (pow z 3))
(* (pow y 3) (+ (/ x (pow y 3)) (/ x (pow z 3))))
(* (pow y 3) (+ (/ x (pow y 3)) (/ x (pow z 3))))
(* (pow y 3) (+ (/ x (pow y 3)) (/ x (pow z 3))))
(/ (* x (pow y 3)) (pow z 3))
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 3))) (* -1 (/ x (pow z 3))))))
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 3))) (* -1 (/ x (pow z 3))))))
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 3))) (* -1 (/ x (pow z 3))))))
(/ (* x (pow y 3)) (pow z 3))
(/ (+ (* x (pow y 3)) (* x (pow z 3))) (pow z 3))
(/ (+ (* x (pow y 3)) (* x (pow z 3))) (pow z 3))
(/ (+ (* x (pow y 3)) (* x (pow z 3))) (pow z 3))
x
(+ x (/ (* x (pow y 3)) (pow z 3)))
(+ x (/ (* x (pow y 3)) (pow z 3)))
(+ x (/ (* x (pow y 3)) (pow z 3)))
x
(+ x (/ (* x (pow y 3)) (pow z 3)))
(+ x (/ (* x (pow y 3)) (pow z 3)))
(+ x (/ (* x (pow y 3)) (pow z 3)))
1
(+ 1 (/ (pow y 3) (pow z 3)))
(+ 1 (/ (pow y 3) (pow z 3)))
(+ 1 (/ (pow y 3) (pow z 3)))
(/ (pow y 3) (pow z 3))
(* (pow y 3) (+ (/ 1 (pow y 3)) (/ 1 (pow z 3))))
(* (pow y 3) (+ (/ 1 (pow y 3)) (/ 1 (pow z 3))))
(* (pow y 3) (+ (/ 1 (pow y 3)) (/ 1 (pow z 3))))
(/ (pow y 3) (pow z 3))
(* (pow y 3) (+ (/ 1 (pow y 3)) (/ 1 (pow z 3))))
(* (pow y 3) (+ (/ 1 (pow y 3)) (/ 1 (pow z 3))))
(* (pow y 3) (+ (/ 1 (pow y 3)) (/ 1 (pow z 3))))
(/ (pow y 3) (pow z 3))
(/ (+ (pow y 3) (pow z 3)) (pow z 3))
(/ (+ (pow y 3) (pow z 3)) (pow z 3))
(/ (+ (pow y 3) (pow z 3)) (pow z 3))
1
(+ 1 (/ (pow y 3) (pow z 3)))
(+ 1 (/ (pow y 3) (pow z 3)))
(+ 1 (/ (pow y 3) (pow z 3)))
1
(+ 1 (/ (pow y 3) (pow z 3)))
(+ 1 (/ (pow y 3) (pow z 3)))
(+ 1 (/ (pow y 3) (pow z 3)))
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(/ (pow y 3) (pow z 3))
(/ (pow y 3) (pow z 3))
(/ (pow y 3) (pow z 3))
(/ (pow y 3) (pow z 3))
(/ (pow y 3) (pow z 3))
(/ (pow y 3) (pow z 3))
(/ (pow y 3) (pow z 3))
(/ (pow y 3) (pow z 3))
(/ (pow y 3) (pow z 3))
(/ (pow y 3) (pow z 3))
(/ (pow y 3) (pow z 3))
(/ (pow y 3) (pow z 3))
(/ (pow y 3) (pow z 3))
(/ (pow y 3) (pow z 3))
(/ (pow y 3) (pow z 3))
(/ (pow y 3) (pow z 3))
(/ (pow y 3) (pow z 3))
(/ (pow y 3) (pow z 3))
(/ (pow y 3) (pow z 3))
(/ (pow y 3) (pow z 3))
(/ (pow y 3) (pow z 3))
(/ (pow y 3) (pow z 3))
(/ (pow y 3) (pow z 3))
(/ (pow z 2) (pow y 2))
(/ (pow z 2) (pow y 2))
(/ (pow z 2) (pow y 2))
(/ (pow z 2) (pow y 2))
(/ (pow z 2) (pow y 2))
(/ (pow z 2) (pow y 2))
(/ (pow z 2) (pow y 2))
(/ (pow z 2) (pow y 2))
(/ (pow z 2) (pow y 2))
(/ (pow z 2) (pow y 2))
(/ (pow z 2) (pow y 2))
(/ (pow z 2) (pow y 2))
(/ (pow z 2) (pow y 2))
(/ (pow z 2) (pow y 2))
(/ (pow z 2) (pow y 2))
(/ (pow z 2) (pow y 2))
(/ (pow z 2) (pow y 2))
(/ (pow z 2) (pow y 2))
(/ (pow z 2) (pow y 2))
(/ (pow z 2) (pow y 2))
(/ (pow z 2) (pow y 2))
(/ (pow z 2) (pow y 2))
(/ (pow z 2) (pow y 2))
(/ (pow z 2) (pow y 2))
Outputs
(* x (+ 1 (/ y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* x (+ 1 (/ y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* x (+ 1 (/ y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* x (+ 1 (/ y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* x (+ 1 (/ y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* x (+ 1 (/ y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* x (+ 1 (/ y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* x (+ 1 (/ y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* -1 (* x (- (* -1 (/ y z)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* -1 (* x (- (* -1 (/ y z)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* -1 (* x (- (* -1 (/ y z)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* -1 (* x (- (* -1 (/ y z)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (+ (* x y) (* x z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/ (+ (* x y) (* x z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/ (+ (* x y) (* x z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
x
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
x
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
x
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(* y (+ (/ x y) (/ x z)))
(*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))
(* y (+ (/ x y) (/ x z)))
(*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))
(* y (+ (/ x y) (/ x z)))
(*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(*.f64 y (+.f64 (/.f64 x y) (/.f64 x 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)
(/ (* 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)
(/ (* 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)
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(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))
(* (pow y 3) (+ (/ 1 (pow y 3)) (/ 1 (pow z 3))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))
(/ (pow y 3) (pow z 3))
(/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))
(/ (+ (pow y 3) (pow z 3)) (pow z 3))
(/.f64 (+.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (*.f64 z (*.f64 z z)))
(/ (+ (pow y 3) (pow z 3)) (pow z 3))
(/.f64 (+.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (*.f64 z (*.f64 z z)))
(/ (+ (pow y 3) (pow z 3)) (pow z 3))
(/.f64 (+.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (*.f64 z (*.f64 z z)))
1
#s(literal 1 binary64)
(+ 1 (/ (pow y 3) (pow z 3)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))
(+ 1 (/ (pow y 3) (pow z 3)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))
(+ 1 (/ (pow y 3) (pow z 3)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))
1
#s(literal 1 binary64)
(+ 1 (/ (pow y 3) (pow z 3)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))
(+ 1 (/ (pow y 3) (pow z 3)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))
(+ 1 (/ (pow y 3) (pow z 3)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))
(/ (pow y 3) (pow z 3))
(/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))
(/ (pow y 3) (pow z 3))
(/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))
(/ (pow y 3) (pow z 3))
(/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))
(/ (pow y 3) (pow z 3))
(/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))
(/ (pow y 3) (pow z 3))
(/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))
(/ (pow y 3) (pow z 3))
(/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))
(/ (pow y 3) (pow z 3))
(/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))
(/ (pow y 3) (pow z 3))
(/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))
(/ (pow y 3) (pow z 3))
(/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))
(/ (pow y 3) (pow z 3))
(/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))
(/ (pow y 3) (pow z 3))
(/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))
(/ (pow y 3) (pow z 3))
(/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))
(/ (pow y 3) (pow z 3))
(/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))
(/ (pow y 3) (pow z 3))
(/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))
(/ (pow y 3) (pow z 3))
(/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))
(/ (pow y 3) (pow z 3))
(/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))
(/ (pow y 3) (pow z 3))
(/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))
(/ (pow y 3) (pow z 3))
(/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))
(/ (pow y 3) (pow z 3))
(/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))
(/ (pow y 3) (pow z 3))
(/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))
(/ (pow y 3) (pow z 3))
(/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))
(/ (pow y 3) (pow z 3))
(/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))
(/ (pow y 3) (pow z 3))
(/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))
(/ (pow y 3) (pow z 3))
(/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))
(/ (pow z 2) (pow y 2))
(/.f64 (/.f64 (*.f64 z z) y) y)
(/ (pow z 2) (pow y 2))
(/.f64 (/.f64 (*.f64 z z) y) y)
(/ (pow z 2) (pow y 2))
(/.f64 (/.f64 (*.f64 z z) y) y)
(/ (pow z 2) (pow y 2))
(/.f64 (/.f64 (*.f64 z z) y) y)
(/ (pow z 2) (pow y 2))
(/.f64 (/.f64 (*.f64 z z) y) y)
(/ (pow z 2) (pow y 2))
(/.f64 (/.f64 (*.f64 z z) y) y)
(/ (pow z 2) (pow y 2))
(/.f64 (/.f64 (*.f64 z z) y) y)
(/ (pow z 2) (pow y 2))
(/.f64 (/.f64 (*.f64 z z) y) y)
(/ (pow z 2) (pow y 2))
(/.f64 (/.f64 (*.f64 z z) y) y)
(/ (pow z 2) (pow y 2))
(/.f64 (/.f64 (*.f64 z z) y) y)
(/ (pow z 2) (pow y 2))
(/.f64 (/.f64 (*.f64 z z) y) y)
(/ (pow z 2) (pow y 2))
(/.f64 (/.f64 (*.f64 z z) y) y)
(/ (pow z 2) (pow y 2))
(/.f64 (/.f64 (*.f64 z z) y) y)
(/ (pow z 2) (pow y 2))
(/.f64 (/.f64 (*.f64 z z) y) y)
(/ (pow z 2) (pow y 2))
(/.f64 (/.f64 (*.f64 z z) y) y)
(/ (pow z 2) (pow y 2))
(/.f64 (/.f64 (*.f64 z z) y) y)
(/ (pow z 2) (pow y 2))
(/.f64 (/.f64 (*.f64 z z) y) y)
(/ (pow z 2) (pow y 2))
(/.f64 (/.f64 (*.f64 z z) y) y)
(/ (pow z 2) (pow y 2))
(/.f64 (/.f64 (*.f64 z z) y) y)
(/ (pow z 2) (pow y 2))
(/.f64 (/.f64 (*.f64 z z) y) y)
(/ (pow z 2) (pow y 2))
(/.f64 (/.f64 (*.f64 z z) y) y)
(/ (pow z 2) (pow y 2))
(/.f64 (/.f64 (*.f64 z z) y) y)
(/ (pow z 2) (pow y 2))
(/.f64 (/.f64 (*.f64 z z) y) y)
(/ (pow z 2) (pow y 2))
(/.f64 (/.f64 (*.f64 z z) y) y)

eval182.0ms (3.1%)

Compiler

Compiled 20788 to 1834 computations (91.2% saved)

prune116.0ms (2%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New104541049
Fresh303
Picked235
Done011
Total105081058
Accuracy
100.0%
Counts
1058 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶47.3%
(/.f64 (*.f64 y x) z)
✓63.8%
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 z (/.f64 y (/.f64 z y))) z)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 y z) #s(literal -1 binary64)) (/.f64 z y))))
▶49.4%
(/.f64 y (/.f64 z x))
✓96.6%
(+.f64 (/.f64 x (/.f64 z y)) x)
▶48.3%
(*.f64 (/.f64 y z) x)
▶49.4%
(*.f64 (/.f64 x z) y)
✓96.6%
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
✓50.2%
x
Compiler

Compiled 86 to 53 computations (38.4% saved)

simplify4.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 y x)
✓cost-diff0
(/.f64 (*.f64 y x) z)
✓cost-diff0
(/.f64 z x)
✓cost-diff0
(/.f64 y (/.f64 z x))
✓cost-diff0
(/.f64 y z)
✓cost-diff0
(*.f64 (/.f64 y z) x)
✓cost-diff0
(/.f64 x z)
✓cost-diff0
(*.f64 (/.f64 x z) y)
Rules
12×*-lowering-*.f32
12×*-lowering-*.f64
10×/-lowering-/.f32
10×/-lowering-/.f64
6×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01144
11544
01544
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (/ x z) y)
(/ x z)
x
z
y
(* (/ y z) x)
(/ y z)
y
z
x
(/ y (/ z x))
y
(/ z x)
z
x
(/ (* y x) z)
(* y x)
y
x
z
Outputs
(* (/ x z) y)
(/.f64 y (/.f64 z x))
(/ x z)
(/.f64 x z)
x
z
y
(* (/ y z) x)
(/.f64 y (/.f64 z x))
(/ y z)
(/.f64 y z)
y
z
x
(/ y (/ z x))
(/.f64 y (/.f64 z x))
y
(/ z x)
(/.f64 z x)
z
x
(/ (* y x) z)
(/.f64 y (/.f64 z x))
(* y x)
(*.f64 x y)
y
x
z

localize68.0ms (1.1%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 y x)
✓accuracy89.8%
(/.f64 (*.f64 y x) z)
✓accuracy100.0%
(/.f64 z x)
✓accuracy94.8%
(/.f64 y (/.f64 z x))
✓accuracy100.0%
(/.f64 y z)
✓accuracy92.7%
(*.f64 (/.f64 y z) x)
✓accuracy100.0%
(/.f64 x z)
✓accuracy94.9%
(*.f64 (/.f64 x z) y)
Results
53.0ms256×0valid
Compiler

Compiled 48 to 12 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-div: 10.0ms (63.6% of total)
ival-mult: 6.0ms (38.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series6.0ms (0.1%)

Counts
8 → 240
Calls
Call 1
Inputs
#<alt (* (/ x z) y)>
#<alt (/ x z)>
#<alt (* (/ y z) x)>
#<alt (/ y z)>
#<alt (/ y (/ z x))>
#<alt (/ z x)>
#<alt (/ (* y x) z)>
#<alt (* y x)>
Outputs
#<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 (/ (* 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 (/ (* 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 (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x 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 (/ (* 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 (/ (* 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 (/ 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 (/ (* 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 (/ (* 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 (/ (* 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 (/ 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)>
#<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 (/ (* 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 (/ (* 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 (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
Calls

60 calls:

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

rewrite346.0ms (5.8%)

Algorithm
1×batch-egg-rewrite
Rules
2452×*-lowering-*.f32
2452×*-lowering-*.f64
1642×/-lowering-/.f32
1642×/-lowering-/.f64
1586×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01132
14032
219232
392532
4497532
0824932
Stop Event
1×iter limit
1×node limit
Counts
8 → 777
Calls
Call 1
Inputs
(* (/ x z) y)
(/ x z)
(* (/ y z) x)
(/ y z)
(/ y (/ z x))
(/ z x)
(/ (* y x) z)
(* y x)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 y (/.f64 z x)))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) y) z)) (/.f64 y (/.f64 z x)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 0 binary64)) (/.f64 y (/.f64 z x)))
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) z) #s(literal 0 binary64)) (/.f64 y (/.f64 z x)))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) #s(literal 0 binary64)) (/.f64 y (/.f64 z x)))
(exp.f64 (log.f64 (/.f64 y (/.f64 z x))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 z x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 z x) y) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (/.f64 z x) y) (/.f64 (/.f64 z x) y))) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) (/.f64 z x))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 z y)) (/.f64 y (-.f64 #s(literal 0 binary64) (/.f64 z x))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z y))) (/.f64 y (-.f64 #s(literal 0 binary64) (/.f64 z x))))
(fma.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) y) z) (/.f64 y (/.f64 z x)))
(fma.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 0 binary64) (/.f64 y (/.f64 z x)))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) z) #s(literal 0 binary64) (/.f64 y (/.f64 z x)))
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) #s(literal 0 binary64) (/.f64 y (/.f64 z x)))
(neg.f64 (/.f64 y (-.f64 #s(literal 0 binary64) (/.f64 z x))))
(/.f64 x (/.f64 z y))
(/.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) y))
(/.f64 y (/.f64 z x))
(/.f64 (/.f64 y (/.f64 z x)) #s(literal 1 binary64))
(/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x y) z)
(/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 z x)))
(/.f64 (/.f64 y (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 z y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) y))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
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(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 y (pow.f64 x #s(literal -1/2 binary64))))
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(*.f64 (*.f64 (*.f64 x y) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)))
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(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 z x) (/.f64 x z)))) (/.f64 z x))
(*.f64 (/.f64 (/.f64 y (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))) (*.f64 z z))
(*.f64 (/.f64 (/.f64 y (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) (*.f64 z z))) z)
(+.f64 (*.f64 x y) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)) (*.f64 x y))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) x)))
(fma.f64 x y #s(literal 0 binary64))
(fma.f64 y x #s(literal 0 binary64))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64) (*.f64 x y))
(fma.f64 (/.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64) (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) #s(literal 0 binary64))
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(fma.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) y) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 0 binary64))
(neg.f64 (/.f64 y (/.f64 #s(literal -1 binary64) x)))
(/.f64 x (/.f64 #s(literal 1 binary64) y))
(/.f64 y (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x y) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y (*.f64 x y)))))
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(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (-.f64 #s(literal 0 binary64) x)) y)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 0 binary64) y)) (*.f64 x x))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) y)) x)
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(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1 binary64))
(*.f64 x y)
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(*.f64 #s(literal 1 binary64) (*.f64 x y))
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(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 y (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) y) (pow.f64 x #s(literal -1/2 binary64))))

simplify23.0ms (0.4%)

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
081008
1101008
2121008
3131008
0131008
Stop Event
1×iter limit
1×saturated
Counts
240 → 240
Calls
Call 1
Inputs
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
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(/ (* 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)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
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(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
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(/ (* x y) z)
(/ (* x 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)
(/ (* 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)
(/ (* 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)
(/ (* 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)
(/ 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)
(/ (* 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)
(/ (* 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)
(/ (* 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)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
Outputs
(/ (* 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)
(/ (* 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)
(/ (* 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)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x 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)
(/ (* 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)
(/ (* 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)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 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)
(/ (* 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)
(/ (* 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)
(/ 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)
(/ (* 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)
(/ (* 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)
(/ (* 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)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)

eval208.0ms (3.5%)

Compiler

Compiled 11275 to 991 computations (91.2% saved)

prune91.0ms (1.5%)

Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New101611017
Fresh000
Picked044
Done134
Total101781025
Accuracy
100.0%
Counts
1025 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓47.3%
(/.f64 (*.f64 y x) z)
✓49.4%
(/.f64 y (/.f64 z x))
▶49.4%
(/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) z))
✓96.6%
(+.f64 (/.f64 x (/.f64 z y)) x)
✓48.3%
(*.f64 (/.f64 y z) x)
✓49.4%
(*.f64 (/.f64 x z) y)
✓96.6%
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
✓50.2%
x
Compiler

Compiled 66 to 43 computations (34.8% saved)

simplify11.0ms (0.2%)

Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) x) z)
✓cost-diff128
(/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) z))
Rules
28×/-lowering-/.f32
28×/-lowering-/.f64
28×*-lowering-*.f32
28×*-lowering-*.f64
14×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0716
11514
22414
34814
45114
05114
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ y (* (/ 1 x) z))
y
(* (/ 1 x) z)
(/ 1 x)
1
x
z
Outputs
(/ y (* (/ 1 x) z))
(/.f64 y (/.f64 z x))
y
(* (/ 1 x) z)
(/.f64 z x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
z

localize40.0ms (0.7%)

Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
✓accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) x) z)
✓accuracy94.8%
(/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) z))
Results
32.0ms256×0valid
Compiler

Compiled 23 to 8 computations (65.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 4.0ms (61.9% of total)
ival-mult: 2.0ms (30.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series1.0ms (0%)

Counts
3 → 72
Calls
Call 1
Inputs
#<alt (/ y (* (/ 1 x) z))>
#<alt (* (/ 1 x) z)>
#<alt (/ 1 x)>
Outputs
#<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 (/ (* 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 (/ (* 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 (/ 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)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
Calls

18 calls:

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

rewrite326.0ms (5.5%)

Algorithm
1×batch-egg-rewrite
Rules
2176×*-lowering-*.f32
2176×*-lowering-*.f64
1404×+-lowering-+.f64
1404×+-lowering-+.f32
1106×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0712
13010
214410
372110
4379310
0865110
Stop Event
1×iter limit
1×node limit
Counts
3 → 369
Calls
Call 1
Inputs
(/ y (* (/ 1 x) z))
(* (/ 1 x) z)
(/ 1 x)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 y (/.f64 z x)))
(+.f64 (*.f64 (/.f64 y z) #s(literal 0 binary64)) (/.f64 y (/.f64 z x)))
(+.f64 (*.f64 (/.f64 x z) #s(literal 0 binary64)) (/.f64 y (/.f64 z x)))
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(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 y z)) (/.f64 y (/.f64 z x)))
(+.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y z))) (/.f64 y (/.f64 z x)))
(exp.f64 (log.f64 (/.f64 y (/.f64 z x))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 z x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 z (*.f64 y x)) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 z (*.f64 y x)) (/.f64 z (*.f64 y x)))) #s(literal -1/2 binary64)))
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(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 z (*.f64 y x))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (log.f64 (/.f64 x z))))
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(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 z y)) (/.f64 y (/.f64 z x)))
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(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) x)
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x))) (sqrt.f64 x))
(pow.f64 x #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 x))
(pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -3/4 binary64)))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (pow.f64 x #s(literal -3/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (*.f64 x x))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 x x))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))

simplify10.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
08276
114276
217276
318276
018276
Stop Event
1×iter limit
1×saturated
Counts
72 → 72
Calls
Call 1
Inputs
(/ (* 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)
(/ (* 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)
(/ (* 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)
(/ 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)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
Outputs
(/ (* 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)
(/ (* 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)
(/ (* 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)
(/ 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)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)

eval74.0ms (1.3%)

Compiler

Compiled 4931 to 901 computations (81.7% saved)

prune82.0ms (1.4%)

Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New4410441
Fresh000
Picked011
Done077
Total4418449
Accuracy
100.0%
Counts
449 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓47.3%
(/.f64 (*.f64 y x) z)
✓49.4%
(/.f64 y (/.f64 z x))
✓49.4%
(/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) z))
✓96.6%
(+.f64 (/.f64 x (/.f64 z y)) x)
✓48.3%
(*.f64 (/.f64 y z) x)
✓49.4%
(*.f64 (/.f64 x z) y)
✓96.6%
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
✓50.2%
x
Compiler

Compiled 182 to 86 computations (52.7% saved)

regimes35.0ms (0.6%)

Counts
15 → 1
Calls
Call 1
Inputs
x
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 x z) y)
(*.f64 (/.f64 y z) x)
(/.f64 x (/.f64 z y))
(/.f64 y (/.f64 z x))
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 y x) z)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 (/.f64 x z) (+.f64 y z))
(+.f64 (/.f64 x (/.f64 z y)) x)
(/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) z))
(/.f64 (*.f64 x (+.f64 y z)) z)
(/.f64 (/.f64 (*.f64 (+.f64 y z) (*.f64 (-.f64 y z) x)) (-.f64 y z)) z)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 z (/.f64 y (/.f64 z y))) z)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 y z) #s(literal -1 binary64)) (/.f64 z y))))
Outputs
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
Calls

4 calls:

20.0ms
z
5.0ms
x
5.0ms
y
5.0ms
(/.f64 (*.f64 x (+.f64 y z)) z)
Results
AccuracySegmentsBranch
96.6%1x
96.6%1y
96.6%1z
96.6%1(/.f64 (*.f64 x (+.f64 y z)) z)
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes13.0ms (0.2%)

Counts
8 → 3
Calls
Call 1
Inputs
x
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 x z) y)
(*.f64 (/.f64 y z) x)
(/.f64 x (/.f64 z y))
(/.f64 y (/.f64 z x))
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 y x) z)
Outputs
(*.f64 (/.f64 x z) y)
x
(/.f64 y (/.f64 z x))
Calls

3 calls:

6.0ms
y
3.0ms
z
3.0ms
x
Results
AccuracySegmentsBranch
62.4%5x
78.6%3y
71.8%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0%)

Counts
5 → 3
Calls
Call 1
Inputs
x
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 x z) y)
(*.f64 (/.f64 y z) x)
(/.f64 x (/.f64 z y))
Outputs
(*.f64 (/.f64 x z) y)
x
(*.f64 (/.f64 x z) y)
Calls

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
78.6%3y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes2.0ms (0%)

Counts
2 → 3
Calls
Call 1
Inputs
x
(*.f64 x (/.f64 y z))
Outputs
(*.f64 x (/.f64 y z))
x
(*.f64 x (/.f64 y z))
Calls

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
76.5%3y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

3 calls:

1.0ms
z
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
50.2%1x
50.2%1z
50.2%1y
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch36.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
1.221997990925786e-36
7.870790251583477e-26
19.0ms
-6.138035559152138e+44
-1.5424266294377968e+43
Results
25.0ms272×0valid
Compiler

Compiled 254 to 181 computations (28.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 3.0ms (41.3% of total)
ival-add: 2.0ms (27.5% of total)
ival-mult: 2.0ms (27.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch27.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
1.221997990925786e-36
7.870790251583477e-26
9.0ms
-6.138035559152138e+44
-1.5424266294377968e+43
Results
17.0ms272×0valid
Compiler

Compiled 254 to 181 computations (28.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (31.9% of total)
ival-add: 2.0ms (31.9% of total)
ival-mult: 2.0ms (31.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch28.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
1.221997990925786e-36
7.870790251583477e-26
12.0ms
-4.801944964719214e-33
-1.1575592293929736e-35
Results
15.0ms288×0valid
Compiler

Compiled 268 to 191 computations (28.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 2.0ms (30.1% of total)
ival-add: 2.0ms (30.1% of total)
ival-mult: 2.0ms (30.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify19.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
6×*-commutative_binary64
4×if-if-or-not_binary32
2×+-commutative_binary64
2×1-exp_binary64
2×1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03057
14357
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(if (<=.f64 y #s(literal -19500000000000000333672630035126507049844736 binary64)) (*.f64 (/.f64 x z) y) (if (<=.f64 y #s(literal 3122104327794287/22300745198530623141535718272648361505980416 binary64)) x (/.f64 y (/.f64 z x))))
(if (<=.f64 y #s(literal -36000000000000000996915636768042866830213120 binary64)) (*.f64 (/.f64 x z) y) (if (<=.f64 y #s(literal 1742245718635205/43556142965880123323311949751266331066368 binary64)) x (*.f64 (/.f64 x z) y)))
(if (<=.f64 y #s(literal -319703483166135/91343852333181432387730302044767688728495783936 binary64)) (*.f64 x (/.f64 y z)) (if (<=.f64 y #s(literal 7317432018267861/696898287454081973172991196020261297061888 binary64)) x (*.f64 x (/.f64 y z))))
x
Outputs
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(if (<=.f64 y #s(literal -19500000000000000333672630035126507049844736 binary64)) (*.f64 (/.f64 x z) y) (if (<=.f64 y #s(literal 3122104327794287/22300745198530623141535718272648361505980416 binary64)) x (/.f64 y (/.f64 z x))))
(if (<=.f64 y #s(literal -19500000000000000333672630035126507049844736 binary64)) (*.f64 y (/.f64 x z)) (if (<=.f64 y #s(literal 3122104327794287/22300745198530623141535718272648361505980416 binary64)) x (/.f64 y (/.f64 z x))))
(if (<=.f64 y #s(literal -36000000000000000996915636768042866830213120 binary64)) (*.f64 (/.f64 x z) y) (if (<=.f64 y #s(literal 1742245718635205/43556142965880123323311949751266331066368 binary64)) x (*.f64 (/.f64 x z) y)))
(if (<=.f64 y #s(literal -36000000000000000996915636768042866830213120 binary64)) (*.f64 y (/.f64 x z)) (if (<=.f64 y #s(literal 1742245718635205/43556142965880123323311949751266331066368 binary64)) x (*.f64 y (/.f64 x z))))
(if (<=.f64 y #s(literal -319703483166135/91343852333181432387730302044767688728495783936 binary64)) (*.f64 x (/.f64 y z)) (if (<=.f64 y #s(literal 7317432018267861/696898287454081973172991196020261297061888 binary64)) x (*.f64 x (/.f64 y z))))
x

soundness1.4s (23%)

Rules
5146×*-lowering-*.f32
5146×*-lowering-*.f64
4268×*-lowering-*.f32
4268×*-lowering-*.f64
4148×/-lowering-/.f32
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
022101
116385
2161870
0895270
067
1167
2247
3277
4357
5437
6477
7566
8676
91766
105976
1125226
1240706
1343946
1445306
1546336
1647696
1749336
1865486
1978156
083856
056858
1201798
2573798
31754798
45175798
08356798
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 230 to 140 computations (39.1% saved)

preprocess53.0ms (0.9%)

Remove

(negabs x)

Compiler

Compiled 216 to 112 computations (48.1% saved)

end0.0ms (0%)

Profiling

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