Statistics.Distribution.CauchyLorentz:$cdensity from math-functions-0.1.5.2

Time bar (total: 9.5s)

analyze89.0ms (0.9%)

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
25%25%74.9%0.1%0%0%0%4
37.5%37.4%62.4%0.1%0%0%0%5
56.3%56.2%43.7%0.1%0%0%0%6
56.3%56.2%43.7%0.1%0%0%0%7
65.6%65.5%34.3%0.1%0%0%0%8
76.6%76.5%23.4%0.1%0%0%0%9
76.6%76.5%23.4%0.1%0%0%0%10
82%81.9%17.9%0.1%0%0%0%11
87.9%87.8%12.1%0.1%0%0%0%12
Compiler

Compiled 15 to 10 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-mult: 14.0ms (42.9% of total)
ival-div: 11.0ms (33.7% of total)
ival-add: 5.0ms (15.3% of total)
const: 1.0ms (3.1% of total)
backward-pass: 0.0ms (0% of total)

sample1.3s (13.3%)

Results
953.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 526.0ms
ival-div: 317.0ms (60.2% of total)
ival-mult: 147.0ms (27.9% of total)
ival-add: 47.0ms (8.9% of total)
const: 12.0ms (2.3% of total)
backward-pass: 3.0ms (0.6% of total)
Bogosity

preprocess79.0ms (0.8%)

Algorithm
2×egg-herbie
Rules
1862×fma-define
1726×fnmadd-define
1372×sum3-define
1288×sum5-define
652×sum4-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03593
113893
237583
3127280
4336680
099
1259
2488
31118
41798
52468
62508
02508
Stop Event
1×iter limit
1×saturated
1×node limit
Calls
Call 1
Inputs
(/ (/ 1 x) (* y (+ 1 (* z z))))
Outputs
(/ (/ 1 x) (* y (+ 1 (* z z))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z z))) y) x)
Call 2
Inputs
(/ (/ 1 x) (* y (+ 1 (* z z))))
(/ (/ 1 (neg x)) (* y (+ 1 (* z z))))
(/ (/ 1 x) (* (neg y) (+ 1 (* z z))))
(/ (/ 1 x) (* y (+ 1 (* (neg z) (neg z)))))
(neg (/ (/ 1 (neg x)) (* y (+ 1 (* z z)))))
(neg (/ (/ 1 x) (* (neg y) (+ 1 (* z z)))))
(neg (/ (/ 1 x) (* y (+ 1 (* (neg z) (neg z))))))
(/ (/ 1 y) (* x (+ 1 (* z z))))
(/ (/ 1 z) (* y (+ 1 (* x x))))
(/ (/ 1 x) (* z (+ 1 (* y y))))
Outputs
(/ (/ 1 x) (* y (+ 1 (* z z))))
(/ (recip x) (fma y (square z) y))
(/ (/ 1 (neg x)) (* y (+ 1 (* z z))))
(/ (recip x) (fnmsub y (square z) y))
(/ (/ 1 x) (* (neg y) (+ 1 (* z z))))
(/ (recip x) (fnmsub y (square z) y))
(/ (/ 1 x) (* y (+ 1 (* (neg z) (neg z)))))
(/ (recip x) (fma y (square z) y))
(neg (/ (/ 1 (neg x)) (* y (+ 1 (* z z)))))
(/ (recip x) (fma y (square z) y))
(neg (/ (/ 1 x) (* (neg y) (+ 1 (* z z)))))
(/ (recip x) (fma y (square z) y))
(neg (/ (/ 1 x) (* y (+ 1 (* (neg z) (neg z))))))
(/ (recip x) (fnmsub y (square z) y))
(/ (/ 1 y) (* x (+ 1 (* z z))))
(/ (recip x) (fma y (square z) y))
(/ (/ 1 z) (* y (+ 1 (* x x))))
(/ (recip z) (fma y (square x) y))
(/ (/ 1 x) (* z (+ 1 (* y y))))
(/ (recip x) (fma z (square y) z))
Symmetry

(abs z)

(negabs x)

(negabs y)

(sort x y)

explain134.0ms (1.4%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
310-0-(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
80-0-(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
00-0-x
00-0-(*.f64 z z)
00-0-y
00-0-(+.f64 #s(literal 1 binary64) (*.f64 z z))
00-0-z
00-0-#s(literal 1 binary64)
00-0-(/.f64 #s(literal 1 binary64) x)
Results
87.0ms512×0valid
Compiler

Compiled 88 to 29 computations (67% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-div: 9.0ms (40.8% of total)
ival-mult: 9.0ms (40.8% of total)
ival-add: 3.0ms (13.6% of total)
const: 1.0ms (4.5% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 14 to 9 computations (35.7% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶86.0%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z z))) y) x)
▶86.0%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
Compiler

Compiled 28 to 18 computations (35.7% saved)

simplify38.0ms (0.4%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 z z))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z z)))
✓cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z z))) y)
✓cost-diff0
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z z))) y) x)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 z z))
✓cost-diff0
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
Rules
142×*-lowering-*.f32
142×*-lowering-*.f64
126×fma-define
84×associate-*r*
72×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01258
13258
26354
313954
422254
528854
629254
029254
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ (/ 1 x) (* y (+ 1 (* z z))))
(/ 1 x)
1
x
(* y (+ 1 (* z z)))
y
(+ 1 (* z z))
(* z z)
z
(/ (/ (/ 1 (+ 1 (* z z))) y) x)
(/ (/ 1 (+ 1 (* z z))) y)
(/ 1 (+ 1 (* z z)))
1
(+ 1 (* z z))
(* z z)
z
y
x
Outputs
(/ (/ 1 x) (* y (+ 1 (* z z))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(* y (+ 1 (* z z)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
y
(+ 1 (* z z))
(+.f64 #s(literal 1 binary64) (*.f64 z z))
(* z z)
(*.f64 z z)
z
(/ (/ (/ 1 (+ 1 (* z z))) y) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/ (/ 1 (+ 1 (* z z))) y)
(/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/ 1 (+ 1 (* z z)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z z)))
1
#s(literal 1 binary64)
(+ 1 (* z z))
(+.f64 #s(literal 1 binary64) (*.f64 z z))
(* z z)
(*.f64 z z)
z
y
x

localize72.0ms (0.8%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 z z)
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z z)))
✓accuracy97.0%
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z z))) y)
✓accuracy89.2%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z z))) y) x)
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 z z))
✓accuracy100.0%
(*.f64 z z)
✓accuracy97.0%
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
✓accuracy89.0%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
Results
54.0ms256×0valid
Compiler

Compiled 76 to 13 computations (82.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-div: 10.0ms (61.4% of total)
ival-mult: 4.0ms (24.6% of total)
ival-add: 2.0ms (12.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series14.0ms (0.2%)

Counts
8 → 168
Calls
Call 1
Inputs
#<alt (/ (/ 1 x) (* y (+ 1 (* z z))))>
#<alt (/ 1 x)>
#<alt (* y (+ 1 (* z z)))>
#<alt (+ 1 (* z z))>
#<alt (/ (/ (/ 1 (+ 1 (* z z))) y) x)>
#<alt (/ (/ 1 (+ 1 (* z z))) y)>
#<alt (/ 1 (+ 1 (* z z)))>
#<alt (* z z)>
Outputs
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x y))>
#<alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))>
#<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)>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt y>
#<alt (+ y (* y (pow z 2)))>
#<alt (+ y (* y (pow z 2)))>
#<alt (+ y (* y (pow z 2)))>
#<alt (* y (pow z 2))>
#<alt (* (pow z 2) (+ y (/ y (pow z 2))))>
#<alt (* (pow z 2) (+ y (/ y (pow z 2))))>
#<alt (* (pow z 2) (+ y (/ y (pow z 2))))>
#<alt (* y (pow z 2))>
#<alt (* (pow z 2) (+ y (/ y (pow z 2))))>
#<alt (* (pow z 2) (+ y (/ y (pow z 2))))>
#<alt (* (pow z 2) (+ y (/ y (pow z 2))))>
#<alt 1>
#<alt (+ 1 (pow z 2))>
#<alt (+ 1 (pow z 2))>
#<alt (+ 1 (pow z 2))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (/ 1 (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ 1 (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ 1 (pow z 2))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (/ 1 (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ 1 (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ 1 (pow z 2))))>
#<alt (/ 1 (* x y))>
#<alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 y)>
#<alt (+ (* -1 (/ (pow z 2) y)) (/ 1 y))>
#<alt (+ (* (pow z 2) (- (/ (pow z 2) y) (/ 1 y))) (/ 1 y))>
#<alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) y)) (/ 1 y))) (/ 1 y))) (/ 1 y))>
#<alt (/ 1 (* y (pow z 2)))>
#<alt (/ (- (/ 1 y) (/ 1 (* y (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (/ 1 (* y (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (+ (/ 1 (* y (pow z 2))) (/ 1 (* y (pow z 6))))) (pow z 2))>
#<alt (/ 1 (* y (pow z 2)))>
#<alt (/ (- (/ 1 y) (/ 1 (* y (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (/ 1 (* y (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (+ (/ 1 (* y (pow z 2))) (/ 1 (* y (pow z 6))))) (pow z 2))>
#<alt (/ 1 (* y (+ 1 (pow z 2))))>
#<alt (/ 1 (* y (+ 1 (pow z 2))))>
#<alt (/ 1 (* y (+ 1 (pow z 2))))>
#<alt (/ 1 (* y (+ 1 (pow z 2))))>
#<alt (/ 1 (* y (+ 1 (pow z 2))))>
#<alt (/ 1 (* y (+ 1 (pow z 2))))>
#<alt (/ 1 (* y (+ 1 (pow z 2))))>
#<alt (/ 1 (* y (+ 1 (pow z 2))))>
#<alt (/ 1 (* y (+ 1 (pow z 2))))>
#<alt (/ 1 (* y (+ 1 (pow z 2))))>
#<alt (/ 1 (* y (+ 1 (pow z 2))))>
#<alt (/ 1 (* y (+ 1 (pow z 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow z 2)))>
#<alt (+ 1 (* (pow z 2) (- (pow z 2) 1)))>
#<alt (+ 1 (* (pow z 2) (- (* (pow z 2) (+ 1 (* -1 (pow z 2)))) 1)))>
#<alt (/ 1 (pow z 2))>
#<alt (/ (- 1 (/ 1 (pow z 2))) (pow z 2))>
#<alt (/ (- (+ 1 (/ 1 (pow z 4))) (/ 1 (pow z 2))) (pow z 2))>
#<alt (/ (- (+ 1 (/ 1 (pow z 4))) (+ (/ 1 (pow z 2)) (/ 1 (pow z 6)))) (pow z 2))>
#<alt (/ 1 (pow z 2))>
#<alt (/ (- 1 (/ 1 (pow z 2))) (pow z 2))>
#<alt (/ (- (+ 1 (/ 1 (pow z 4))) (/ 1 (pow z 2))) (pow z 2))>
#<alt (/ (- (+ 1 (/ 1 (pow z 4))) (+ (/ 1 (pow z 2)) (/ 1 (pow z 6)))) (pow z 2))>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
Calls

42 calls:

TimeVariablePointExpression
2.0ms
y
@inf
(* y (+ 1 (* z z)))
2.0ms
x
@0
(/ (/ 1 x) (* y (+ 1 (* z z))))
1.0ms
z
@0
(/ (/ 1 x) (* y (+ 1 (* z z))))
1.0ms
y
@0
(/ (/ 1 x) (* y (+ 1 (* z z))))
1.0ms
x
@-inf
(/ (/ 1 x) (* y (+ 1 (* z z))))

rewrite596.0ms (6.3%)

Algorithm
1×batch-egg-rewrite
Rules
2794×fma-lowering-fma.f32
2794×fma-lowering-fma.f64
2288×*-lowering-*.f32
2288×*-lowering-*.f64
1824×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01244
18044
257740
3426240
0829740
Stop Event
1×iter limit
1×node limit
Counts
8 → 634
Calls
Call 1
Inputs
(/ (/ 1 x) (* y (+ 1 (* z z))))
(/ 1 x)
(* y (+ 1 (* z z)))
(+ 1 (* z z))
(/ (/ (/ 1 (+ 1 (* z z))) y) x)
(/ (/ 1 (+ 1 (* z z))) y)
(/ 1 (+ 1 (* z z)))
(* z z)
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))))) (*.f64 x y))) (*.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z z) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))))) (*.f64 x y)))))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))))) (*.f64 x y))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))))) (*.f64 x y))) (*.f64 (*.f64 z z) (+.f64 (*.f64 z z) #s(literal -1 binary64)))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))))) (*.f64 x y))) (*.f64 (*.f64 z z) (+.f64 (*.f64 z z) #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))))) (*.f64 x y))) #s(literal 1 binary64)))
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(neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal 1 binary64))
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(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (+.f64 (*.f64 z z) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))))))
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(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))
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(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 (+.f64 (*.f64 z z) #s(literal -1 binary64)) (*.f64 (*.f64 z z) (+.f64 (*.f64 z z) #s(literal -1 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (+.f64 (*.f64 z z) #s(literal -1 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (+.f64 (*.f64 z z) #s(literal -1 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z z) #s(literal -1 binary64))) (*.f64 (*.f64 z z) (*.f64 (+.f64 (*.f64 z z) #s(literal -1 binary64)) (*.f64 (*.f64 z z) (+.f64 (*.f64 z z) #s(literal -1 binary64)))))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z z) #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z z) #s(literal -1 binary64))) #s(literal 1 binary64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 (+.f64 (*.f64 z z) #s(literal -1 binary64)) (*.f64 (*.f64 z z) (+.f64 (*.f64 z z) #s(literal -1 binary64))))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (+.f64 (*.f64 z z) #s(literal -1 binary64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) (*.f64 z z))))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z z) #s(literal -1 binary64))) (*.f64 (*.f64 z z) (*.f64 (+.f64 (*.f64 z z) #s(literal -1 binary64)) (*.f64 (*.f64 z z) (+.f64 (*.f64 z z) #s(literal -1 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z z) #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z z) #s(literal -1 binary64))) #s(literal 1 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 (+.f64 (*.f64 z z) #s(literal -1 binary64)) (*.f64 (*.f64 z z) (+.f64 (*.f64 z z) #s(literal -1 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (+.f64 (*.f64 z z) #s(literal -1 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log1p.f64 (*.f64 z z))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 z z))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 z z))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (+.f64 (*.f64 z z) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (+.f64 (*.f64 z z) #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (+.f64 (*.f64 z z) #s(literal -1 binary64))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (-.f64 #s(literal 1 binary64) (*.f64 z z)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (+.f64 (*.f64 z z) #s(literal -1 binary64))))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (+.f64 (*.f64 z z) #s(literal -1 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))))))) (+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (+.f64 (*.f64 z z) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))) (-.f64 (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))) #s(literal 1 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (+.f64 (*.f64 z z) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))))))) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z (*.f64 z (*.f64 z z))) #s(literal -1 binary64))) (+.f64 (*.f64 z z) #s(literal -1 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)))
(pow.f64 z #s(literal 2 binary64))
(pow.f64 (*.f64 z z) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 z)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 z z))
(*.f64 z z)
(*.f64 (*.f64 z z) #s(literal 1 binary64))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)))

simplify202.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
2740×*-lowering-*.f32
2740×*-lowering-*.f64
2074×/-lowering-/.f32
2074×/-lowering-/.f64
1790×+-lowering-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0941633
12761356
28001348
330211307
081491307
Stop Event
1×iter limit
1×node limit
Counts
168 → 168
Calls
Call 1
Inputs
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
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(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
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(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x y))
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(/ 1 (* x (* y (pow z 2))))
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(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/ 1 (* x (* y (pow z 2))))
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(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/ 1 x)
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(* y (+ 1 (pow z 2)))
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y
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(* (pow z 2) (+ y (/ y (pow z 2))))
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(* (pow z 2) (+ y (/ y (pow z 2))))
(* y (pow z 2))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* (pow z 2) (+ y (/ y (pow z 2))))
1
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(pow z 2)
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(pow z 2)
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(/ 1 (* x y))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
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(/ 1 (* y (+ 1 (pow z 2))))
(/ 1 (* y (+ 1 (pow z 2))))
(/ 1 (* y (+ 1 (pow z 2))))
(/ 1 (* y (+ 1 (pow z 2))))
(/ 1 (* y (+ 1 (pow z 2))))
(/ 1 (* y (+ 1 (pow z 2))))
(/ 1 (* y (+ 1 (pow z 2))))
(/ 1 (* y (+ 1 (pow z 2))))
(/ 1 (* y (+ 1 (pow z 2))))
(/ 1 (* y (+ 1 (pow z 2))))
1
(+ 1 (* -1 (pow z 2)))
(+ 1 (* (pow z 2) (- (pow z 2) 1)))
(+ 1 (* (pow z 2) (- (* (pow z 2) (+ 1 (* -1 (pow z 2)))) 1)))
(/ 1 (pow z 2))
(/ (- 1 (/ 1 (pow z 2))) (pow z 2))
(/ (- (+ 1 (/ 1 (pow z 4))) (/ 1 (pow z 2))) (pow z 2))
(/ (- (+ 1 (/ 1 (pow z 4))) (+ (/ 1 (pow z 2)) (/ 1 (pow z 6)))) (pow z 2))
(/ 1 (pow z 2))
(/ (- 1 (/ 1 (pow z 2))) (pow z 2))
(/ (- (+ 1 (/ 1 (pow z 4))) (/ 1 (pow z 2))) (pow z 2))
(/ (- (+ 1 (/ 1 (pow z 4))) (+ (/ 1 (pow z 2)) (/ 1 (pow z 6)))) (pow z 2))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
Outputs
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 (*.f64 z (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 z z)))) y) x))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 (/.f64 #s(literal 1 binary64) x) y)))
(/ 1 (* x (* y (pow z 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z z))) y)
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))) (*.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))) (*.f64 z z))) (*.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/.f64 (+.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))) (*.f64 z z))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (pow.f64 z #s(literal 6 binary64)))) (*.f64 z z))
(/ 1 (* x (* y (pow z 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z z))) y)
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))) (*.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))) (*.f64 z z))) (*.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/.f64 (+.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))) (*.f64 z z))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (pow.f64 z #s(literal 6 binary64)))) (*.f64 z z))
(/ 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)
(* y (+ 1 (pow z 2)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(* y (+ 1 (pow z 2)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(* y (+ 1 (pow z 2)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(* y (+ 1 (pow z 2)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(* y (+ 1 (pow z 2)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(* y (+ 1 (pow z 2)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(* y (+ 1 (pow z 2)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(* y (+ 1 (pow z 2)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(* y (+ 1 (pow z 2)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(* y (+ 1 (pow z 2)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(* y (+ 1 (pow z 2)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(* y (+ 1 (pow z 2)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
y
(+ y (* y (pow z 2)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(+ y (* y (pow z 2)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(+ y (* y (pow z 2)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(* y (pow z 2))
(*.f64 y (*.f64 z z))
(* (pow z 2) (+ y (/ y (pow z 2))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(* (pow z 2) (+ y (/ y (pow z 2))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(* (pow z 2) (+ y (/ y (pow z 2))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(* y (pow z 2))
(*.f64 y (*.f64 z z))
(* (pow z 2) (+ y (/ y (pow z 2))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(* (pow z 2) (+ y (/ y (pow z 2))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(* (pow z 2) (+ y (/ y (pow z 2))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
1
#s(literal 1 binary64)
(+ 1 (pow z 2))
(+.f64 #s(literal 1 binary64) (*.f64 z z))
(+ 1 (pow z 2))
(+.f64 #s(literal 1 binary64) (*.f64 z z))
(+ 1 (pow z 2))
(+.f64 #s(literal 1 binary64) (*.f64 z z))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(+.f64 #s(literal 1 binary64) (*.f64 z z))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(+.f64 #s(literal 1 binary64) (*.f64 z z))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(+.f64 #s(literal 1 binary64) (*.f64 z z))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(+.f64 #s(literal 1 binary64) (*.f64 z z))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(+.f64 #s(literal 1 binary64) (*.f64 z z))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(+.f64 #s(literal 1 binary64) (*.f64 z z))
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 (*.f64 z (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 z z)))) y) x))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 (/.f64 #s(literal 1 binary64) x) y)))
(/ 1 (* x (* y (pow z 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z z))) y)
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))) (*.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))) (*.f64 z z))) (*.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/.f64 (+.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))) (*.f64 z z))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (pow.f64 z #s(literal 6 binary64)))) (*.f64 z z))
(/ 1 (* x (* y (pow z 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z z))) y)
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))) (*.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))) (*.f64 z z))) (*.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/.f64 (+.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))) (*.f64 z z))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (pow.f64 z #s(literal 6 binary64)))) (*.f64 z z))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -1 (/ (pow z 2) y)) (/ 1 y))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) y))
(+ (* (pow z 2) (- (/ (pow z 2) y) (/ 1 y))) (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 (*.f64 z z) y) (+.f64 (*.f64 z z) #s(literal -1 binary64))))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) y)) (/ 1 y))) (/ 1 y))) (/ 1 y))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) y)))
(/ 1 (* y (pow z 2)))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z)))
(/ (- (/ 1 y) (/ 1 (* y (pow z 2)))) (pow z 2))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z))) (/.f64 #s(literal 1 binary64) y)) (*.f64 z z))
(/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (/ 1 (* y (pow z 2)))) (pow z 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z))) (/.f64 #s(literal 1 binary64) y)) (*.f64 z z))) (*.f64 z z))
(/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (+ (/ 1 (* y (pow z 2))) (/ 1 (* y (pow z 6))))) (pow z 2))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y (pow.f64 z #s(literal 6 binary64))))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z))) (/.f64 #s(literal 1 binary64) y)) (*.f64 z z))) (*.f64 z z))
(/ 1 (* y (pow z 2)))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z)))
(/ (- (/ 1 y) (/ 1 (* y (pow z 2)))) (pow z 2))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z))) (/.f64 #s(literal 1 binary64) y)) (*.f64 z z))
(/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (/ 1 (* y (pow z 2)))) (pow z 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z))) (/.f64 #s(literal 1 binary64) y)) (*.f64 z z))) (*.f64 z z))
(/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (+ (/ 1 (* y (pow z 2))) (/ 1 (* y (pow z 6))))) (pow z 2))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y (pow.f64 z #s(literal 6 binary64))))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z))) (/.f64 #s(literal 1 binary64) y)) (*.f64 z z))) (*.f64 z z))
(/ 1 (* y (+ 1 (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/ 1 (* y (+ 1 (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/ 1 (* y (+ 1 (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/ 1 (* y (+ 1 (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/ 1 (* y (+ 1 (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/ 1 (* y (+ 1 (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/ 1 (* y (+ 1 (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/ 1 (* y (+ 1 (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/ 1 (* y (+ 1 (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/ 1 (* y (+ 1 (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/ 1 (* y (+ 1 (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/ 1 (* y (+ 1 (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow z 2)))
(-.f64 #s(literal 1 binary64) (*.f64 z z))
(+ 1 (* (pow z 2) (- (pow z 2) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (+.f64 (*.f64 z z) #s(literal -1 binary64)))))
(+ 1 (* (pow z 2) (- (* (pow z 2) (+ 1 (* -1 (pow z 2)))) 1)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (-.f64 #s(literal 1 binary64) (*.f64 z z)))
(/ 1 (pow z 2))
(/.f64 #s(literal 1 binary64) (*.f64 z z))
(/ (- 1 (/ 1 (pow z 2))) (pow z 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z))) (*.f64 z z))
(/ (- (+ 1 (/ 1 (pow z 4))) (/ 1 (pow z 2))) (pow z 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z))) (*.f64 z z))) (*.f64 z z))
(/ (- (+ 1 (/ 1 (pow z 4))) (+ (/ 1 (pow z 2)) (/ 1 (pow z 6)))) (pow z 2))
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z))) (*.f64 z z)))) (*.f64 z z))
(/ 1 (pow z 2))
(/.f64 #s(literal 1 binary64) (*.f64 z z))
(/ (- 1 (/ 1 (pow z 2))) (pow z 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z))) (*.f64 z z))
(/ (- (+ 1 (/ 1 (pow z 4))) (/ 1 (pow z 2))) (pow z 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z))) (*.f64 z z))) (*.f64 z z))
(/ (- (+ 1 (/ 1 (pow z 4))) (+ (/ 1 (pow z 2)) (/ 1 (pow z 6)))) (pow z 2))
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z))) (*.f64 z z)))) (*.f64 z z))
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)

eval138.0ms (1.5%)

Compiler

Compiled 24275 to 1901 computations (92.2% saved)

prune154.0ms (1.6%)

Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New92414938
Fresh000
Picked112
Done000
Total92515940
Accuracy
93.0%
Counts
940 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
85.8%
(/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
50.2%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) y) x)
47.8%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) x)
▶53.9%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z z))) y)
▶89.8%
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z))))
53.9%
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
▶89.0%
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
✓86.0%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
50.1%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 z z)))
▶53.9%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
▶87.3%
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (-.f64 #s(literal -1 binary64) (*.f64 z z)))
45.9%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))) x)
87.3%
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1/2 binary64)) (*.f64 x y)))
85.8%
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
43.4%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))
Compiler

Compiled 456 to 269 computations (41% saved)

simplify151.0ms (1.6%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 y z)
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
✓cost-diff6272
(fma.f64 (*.f64 y z) z y)
✓cost-diff0
(-.f64 #s(literal -1 binary64) (*.f64 z z))
✓cost-diff0
(*.f64 x y)
✓cost-diff0
(/.f64 #s(literal -1 binary64) (*.f64 x y))
✓cost-diff0
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (-.f64 #s(literal -1 binary64) (*.f64 z z)))
✓cost-diff0
(*.f64 z z)
✓cost-diff0
(*.f64 x (*.f64 z z))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z z)))
✓cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z z))) y)
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 z z))
✓cost-diff0
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) y)
✓cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z))))
Rules
2850×fma-define
2102×fnmadd-define
1506×sum3-define
1216×*-lowering-*.f32
1216×*-lowering-*.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
023109
165108
2120104
3263104
4433104
5768104
61469104
72036104
83770104
96970104
08006104
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (/ 1 y) (* x (+ 1 (* z z))))
(/ 1 y)
1
y
(* x (+ 1 (* z z)))
x
(+ 1 (* z z))
(* z z)
z
(/ (/ 1 x) y)
(/ 1 x)
1
x
y
(/ (/ 1 (* x (* z z))) y)
(/ 1 (* x (* z z)))
1
(* x (* z z))
x
(* z z)
z
y
(/ (/ -1 (* x y)) (- -1 (* z z)))
(/ -1 (* x y))
-1
(* x y)
x
y
(- -1 (* z z))
(* z z)
z
(/ (/ 1 x) (+ (* (* y z) z) y))
(/ 1 x)
1
x
(+ (* (* y z) z) y)
(* y z)
y
z
Outputs
(/ (/ 1 y) (* x (+ 1 (* z z))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
(* x (+ 1 (* z z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))
x
(+ 1 (* z z))
(+.f64 #s(literal 1 binary64) (*.f64 z z))
(* z z)
(*.f64 z z)
z
(/ (/ 1 x) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
y
(/ (/ 1 (* x (* z z))) y)
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* z z)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) z)
1
#s(literal 1 binary64)
(* x (* z z))
(*.f64 x (*.f64 z z))
x
(* z z)
(*.f64 z z)
z
y
(/ (/ -1 (* x y)) (- -1 (* z z)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/ -1 (* x y))
(/.f64 (/.f64 #s(literal -1 binary64) x) y)
-1
#s(literal -1 binary64)
(* x y)
(*.f64 y x)
x
y
(- -1 (* z z))
(-.f64 #s(literal -1 binary64) (*.f64 z z))
(* z z)
(*.f64 z z)
z
(/ (/ 1 x) (+ (* (* y z) z) y))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(+ (* (* y z) z) y)
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(* y z)
(*.f64 y z)
y
z

localize148.0ms (1.6%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
✓accuracy100.0%
(*.f64 y z)
✓accuracy99.9%
(fma.f64 (*.f64 y z) z y)
✓accuracy89.0%
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
✓accuracy100.0%
(*.f64 z z)
✓accuracy100.0%
(*.f64 x y)
✓accuracy99.4%
(/.f64 #s(literal -1 binary64) (*.f64 x y))
✓accuracy87.7%
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (-.f64 #s(literal -1 binary64) (*.f64 z z)))
✓accuracy100.0%
(*.f64 z z)
✓accuracy99.4%
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z z)))
✓accuracy92.0%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z z))) y)
✓accuracy86.2%
(*.f64 x (*.f64 z z))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
✓accuracy99.7%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 z z))
✓accuracy100.0%
(*.f64 z z)
✓accuracy97.9%
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z))))
✓accuracy88.6%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))
Results
107.0ms256×0valid
Compiler

Compiled 133 to 23 computations (82.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-div: 17.0ms (45.9% of total)
ival-mult: 11.0ms (29.7% of total)
compiled-spec: 4.0ms (10.8% of total)
ival-add: 3.0ms (8.1% of total)
ival-sub: 1.0ms (2.7% of total)
const: 1.0ms (2.7% of total)
backward-pass: 0.0ms (0% of total)

series46.0ms (0.5%)

Counts
17 → 396
Calls
Call 1
Inputs
#<alt (/ (/ 1 y) (* x (+ 1 (* z z))))>
#<alt (/ 1 y)>
#<alt (* x (+ 1 (* z z)))>
#<alt (+ 1 (* z z))>
#<alt (/ (/ 1 x) y)>
#<alt (/ 1 x)>
#<alt (/ (/ 1 (* x (* z z))) y)>
#<alt (/ 1 (* x (* z z)))>
#<alt (* x (* z z))>
#<alt (* z z)>
#<alt (/ (/ -1 (* x y)) (- -1 (* z z)))>
#<alt (/ -1 (* x y))>
#<alt (* x y)>
#<alt (- -1 (* z z))>
#<alt (+ (* (* y z) z) y)>
#<alt (/ (/ 1 x) (+ (* (* y z) z) y))>
#<alt (* y z)>
Outputs
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x y))>
#<alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt x>
#<alt (+ x (* x (pow z 2)))>
#<alt (+ x (* x (pow z 2)))>
#<alt (+ x (* x (pow z 2)))>
#<alt (* x (pow z 2))>
#<alt (* (pow z 2) (+ x (/ x (pow z 2))))>
#<alt (* (pow z 2) (+ x (/ x (pow z 2))))>
#<alt (* (pow z 2) (+ x (/ x (pow z 2))))>
#<alt (* x (pow z 2))>
#<alt (* (pow z 2) (+ x (/ x (pow z 2))))>
#<alt (* (pow z 2) (+ x (/ x (pow z 2))))>
#<alt (* (pow z 2) (+ x (/ x (pow z 2))))>
#<alt 1>
#<alt (+ 1 (pow z 2))>
#<alt (+ 1 (pow z 2))>
#<alt (+ 1 (pow z 2))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (/ 1 (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ 1 (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ 1 (pow z 2))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (/ 1 (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ 1 (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ 1 (pow z 2))))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<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)>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x y))>
#<alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt -1>
#<alt (- (* -1 (pow z 2)) 1)>
#<alt (- (* -1 (pow z 2)) 1)>
#<alt (- (* -1 (pow z 2)) 1)>
#<alt (* -1 (pow z 2))>
#<alt (* -1 (* (pow z 2) (+ 1 (/ 1 (pow z 2)))))>
#<alt (* -1 (* (pow z 2) (+ 1 (/ 1 (pow z 2)))))>
#<alt (* -1 (* (pow z 2) (+ 1 (/ 1 (pow z 2)))))>
#<alt (* -1 (pow z 2))>
#<alt (* -1 (* (pow z 2) (+ 1 (/ 1 (pow z 2)))))>
#<alt (* -1 (* (pow z 2) (+ 1 (/ 1 (pow z 2)))))>
#<alt (* -1 (* (pow z 2) (+ 1 (/ 1 (pow z 2)))))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* -1 (* y (- (* -1 (pow z 2)) 1)))>
#<alt (* -1 (* y (- (* -1 (pow z 2)) 1)))>
#<alt (* -1 (* y (- (* -1 (pow z 2)) 1)))>
#<alt (* -1 (* y (- (* -1 (pow z 2)) 1)))>
#<alt y>
#<alt (+ y (* y (pow z 2)))>
#<alt (+ y (* y (pow z 2)))>
#<alt (+ y (* y (pow z 2)))>
#<alt (* y (pow z 2))>
#<alt (* (pow z 2) (+ y (/ y (pow z 2))))>
#<alt (* (pow z 2) (+ y (/ y (pow z 2))))>
#<alt (* (pow z 2) (+ y (/ y (pow z 2))))>
#<alt (* y (pow z 2))>
#<alt (* (pow z 2) (+ y (/ y (pow z 2))))>
#<alt (* (pow z 2) (+ y (/ y (pow z 2))))>
#<alt (* (pow z 2) (+ y (/ y (pow z 2))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (+ y (* y (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))>
#<alt (/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))>
#<alt (/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))>
#<alt (/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))>
#<alt (/ 1 (* x y))>
#<alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))>
#<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)>
Calls

99 calls:

TimeVariablePointExpression
23.0ms
x
@0
(/ -1 (* x y))
2.0ms
z
@0
(* x (+ 1 (* z z)))
1.0ms
x
@0
(/ (/ 1 (* x (* z z))) y)
1.0ms
y
@0
(/ (/ 1 (* x (* z z))) y)
1.0ms
x
@0
(/ (/ 1 x) (+ (* (* y z) z) y))

rewrite340.0ms (3.6%)

Algorithm
1×batch-egg-rewrite
Rules
4178×*-lowering-*.f32
4178×*-lowering-*.f64
3404×/-lowering-/.f32
3404×/-lowering-/.f64
1748×frac-times
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02384
115683
2112179
0872179
Stop Event
1×iter limit
1×node limit
Counts
17 → 1145
Calls
Call 1
Inputs
(/ (/ 1 y) (* x (+ 1 (* z z))))
(/ 1 y)
(* x (+ 1 (* z z)))
(+ 1 (* z z))
(/ (/ 1 x) y)
(/ 1 x)
(/ (/ 1 (* x (* z z))) y)
(/ 1 (* x (* z z)))
(* x (* z z))
(* z z)
(/ (/ -1 (* x y)) (- -1 (* z z)))
(/ -1 (* x y))
(* x y)
(- -1 (* z z))
(+ (* (* y z) z) y)
(/ (/ 1 x) (+ (* (* y z) z) y))
(* y z)
Outputs
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))))) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))))) (*.f64 (*.f64 z z) (+.f64 (*.f64 z z) #s(literal -1 binary64)))))
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))))) (*.f64 (*.f64 z z) (+.f64 (*.f64 z z) #s(literal -1 binary64)))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))))) (+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))))) (-.f64 #s(literal 0 binary64) (*.f64 z z))))
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 z z)) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 z z)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 y x))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 y x))) (-.f64 #s(literal 0 binary64) (*.f64 z z))))
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 (*.f64 y (*.f64 z z)) (*.f64 (*.f64 z z) (*.f64 z (*.f64 (*.f64 y z) y)))) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 z z) (*.f64 z (*.f64 (*.f64 y z) y)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 (*.f64 y (*.f64 z z)) (*.f64 (*.f64 z z) (*.f64 z (*.f64 (*.f64 y z) y)))) (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))))
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 (*.f64 y (*.f64 z z)) (*.f64 (*.f64 z z) (*.f64 z (*.f64 (*.f64 y z) y)))) (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 (*.f64 y (*.f64 z z)) (*.f64 (*.f64 z z) (*.f64 z (*.f64 (*.f64 y z) y)))) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 z z) (*.f64 z (*.f64 (*.f64 y z) y)))))
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 y (-.f64 #s(literal -1 binary64) (*.f64 z z))) (*.f64 y (+.f64 (*.f64 z z) #s(literal -1 binary64))))) (*.f64 y (*.f64 z z))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 y (-.f64 #s(literal -1 binary64) (*.f64 z z))) (*.f64 y (+.f64 (*.f64 z z) #s(literal -1 binary64))))) (-.f64 #s(literal 0 binary64) y)))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))))) (*.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z z) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))))))
(+.f64 (*.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z z) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))))) (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))))))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))))))
(+.f64 (*.f64 (*.f64 z z) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))) (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))) (*.f64 (*.f64 z z) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 y x)))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 y x)))))
(+.f64 (*.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 (*.f64 y z) y))) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 (*.f64 y (*.f64 z z)) (*.f64 (*.f64 z z) (*.f64 z (*.f64 (*.f64 y z) y)))) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 (*.f64 y (*.f64 z z)) (*.f64 (*.f64 z z) (*.f64 z (*.f64 (*.f64 y z) y)))) (*.f64 y (*.f64 y y))))))
(+.f64 (*.f64 (*.f64 y (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 (*.f64 y (*.f64 z z)) (*.f64 (*.f64 z z) (*.f64 z (*.f64 (*.f64 y z) y)))) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 (*.f64 y z) y))) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 (*.f64 y (*.f64 z z)) (*.f64 (*.f64 z z) (*.f64 z (*.f64 (*.f64 y z) y)))) (*.f64 y (*.f64 y y))))))
(+.f64 (*.f64 (*.f64 y (*.f64 z z)) (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 y (-.f64 #s(literal -1 binary64) (*.f64 z z))) (*.f64 y (+.f64 (*.f64 z z) #s(literal -1 binary64)))))) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 y (-.f64 #s(literal -1 binary64) (*.f64 z z))) (*.f64 y (+.f64 (*.f64 z z) #s(literal -1 binary64)))))))
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(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z z) #s(literal -1 binary64)))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z z)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (+.f64 (*.f64 z z) #s(literal -1 binary64)))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))))) y) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (+.f64 (*.f64 z z) #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) x)))
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(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))))) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (+.f64 (*.f64 z z) #s(literal -1 binary64)))) (*.f64 y x)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))))) (-.f64 #s(literal 0 binary64) y)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (+.f64 (*.f64 z z) #s(literal -1 binary64)))) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))))) (-.f64 #s(literal 0 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (+.f64 (*.f64 z z) #s(literal -1 binary64)))) y))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) y) (/.f64 (+.f64 (*.f64 z z) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) x) (/.f64 (+.f64 (*.f64 z z) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y)))
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(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (-.f64 #s(literal 0 binary64) y)) (/.f64 (+.f64 (*.f64 z z) #s(literal -1 binary64)) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (-.f64 #s(literal 0 binary64) x)) (/.f64 (+.f64 (*.f64 z z) #s(literal -1 binary64)) y))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))))) (*.f64 y x)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (+.f64 (*.f64 z z) #s(literal -1 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 y x)) (/.f64 (+.f64 (*.f64 z z) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (*.f64 y (*.f64 z z)) (*.f64 (*.f64 z z) (*.f64 z (*.f64 (*.f64 y z) y)))) (*.f64 y (*.f64 y y)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 (*.f64 z z) (*.f64 y (*.f64 z z))) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 (*.f64 z z) (*.f64 y (*.f64 z z))) y))) (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 z z) #s(literal -1 binary64))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))))) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (+.f64 (*.f64 z z) #s(literal -1 binary64)))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z z)))))
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(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 y (*.f64 z z)) (*.f64 (*.f64 z z) (*.f64 z (*.f64 (*.f64 y z) y)))) (*.f64 y (*.f64 y y)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 (*.f64 z z) (*.f64 y (*.f64 z z))) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 y (-.f64 (*.f64 (*.f64 z z) (*.f64 y (*.f64 z z))) y))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 z z) #s(literal -1 binary64))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 y (*.f64 z z)) (*.f64 (*.f64 z z) (*.f64 z (*.f64 (*.f64 y z) y)))) (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)) (/.f64 (*.f64 y (+.f64 (*.f64 (*.f64 z z) (*.f64 y (*.f64 z z))) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 y (*.f64 z z)) (*.f64 (*.f64 z z) (*.f64 z (*.f64 (*.f64 y z) y)))) (*.f64 y (*.f64 y y)))) x) (/.f64 (*.f64 y (+.f64 (*.f64 (*.f64 z z) (*.f64 y (*.f64 z z))) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))) #s(literal 1 binary64)))
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(*.f64 (pow.f64 (*.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (+.f64 (*.f64 z z) #s(literal -1 binary64)))))
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(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))) (+.f64 (*.f64 z z) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 z z))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z z))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 (*.f64 y (*.f64 z z)) (*.f64 (*.f64 z z) (*.f64 z (*.f64 (*.f64 y z) y)))) (*.f64 y (*.f64 y y))))) (*.f64 y (+.f64 (*.f64 (*.f64 z z) (*.f64 y (*.f64 z z))) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 y (-.f64 #s(literal -1 binary64) (*.f64 z z))) (*.f64 y (+.f64 (*.f64 z z) #s(literal -1 binary64)))))) (*.f64 y (+.f64 (*.f64 z z) #s(literal -1 binary64))))
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 z z))) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 z (/.f64 #s(literal 1 binary64) y))
(*.f64 y z)
(*.f64 z y)
(*.f64 (*.f64 y z) #s(literal 1 binary64))

simplify223.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
2852×*-lowering-*.f32
2852×*-lowering-*.f64
1874×/-lowering-/.f32
1874×/-lowering-/.f64
1356×sum3-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0712861
12082436
25842427
323132379
474232379
080412379
Stop Event
1×iter limit
1×node limit
Counts
396 → 396
Calls
Call 1
Inputs
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(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* 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)
(* x y)
-1
(- (* -1 (pow z 2)) 1)
(- (* -1 (pow z 2)) 1)
(- (* -1 (pow z 2)) 1)
(* -1 (pow z 2))
(* -1 (* (pow z 2) (+ 1 (/ 1 (pow z 2)))))
(* -1 (* (pow z 2) (+ 1 (/ 1 (pow z 2)))))
(* -1 (* (pow z 2) (+ 1 (/ 1 (pow z 2)))))
(* -1 (pow z 2))
(* -1 (* (pow z 2) (+ 1 (/ 1 (pow z 2)))))
(* -1 (* (pow z 2) (+ 1 (/ 1 (pow z 2)))))
(* -1 (* (pow z 2) (+ 1 (/ 1 (pow z 2)))))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* -1 (* y (- (* -1 (pow z 2)) 1)))
(* -1 (* y (- (* -1 (pow z 2)) 1)))
(* -1 (* y (- (* -1 (pow z 2)) 1)))
(* -1 (* y (- (* -1 (pow z 2)) 1)))
y
(+ y (* y (pow z 2)))
(+ y (* y (pow z 2)))
(+ y (* y (pow z 2)))
(* y (pow z 2))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* y (pow z 2))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* (pow z 2) (+ y (/ y (pow z 2))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(/ 1 (* x y))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(* 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)
Outputs
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(*.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 z z))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z z) #s(literal -1 binary64))) (*.f64 x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(*.f64 (+.f64 (*.f64 (*.f64 z z) (*.f64 z z)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 z z))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))) (*.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))) (*.f64 z z))) (*.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/.f64 (+.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))) (*.f64 z z))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 z z))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))) (*.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))) (*.f64 z z))) (*.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/.f64 (+.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))) (*.f64 z z))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 z z))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(* x (+ 1 (pow z 2)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(* x (+ 1 (pow z 2)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(* x (+ 1 (pow z 2)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(* x (+ 1 (pow z 2)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(* x (+ 1 (pow z 2)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(* x (+ 1 (pow z 2)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(* x (+ 1 (pow z 2)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(* x (+ 1 (pow z 2)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(* x (+ 1 (pow z 2)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(* x (+ 1 (pow z 2)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(* x (+ 1 (pow z 2)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(* x (+ 1 (pow z 2)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))
x
(+ x (* x (pow z 2)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(+ x (* x (pow z 2)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(+ x (* x (pow z 2)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(* x (pow z 2))
(*.f64 x (*.f64 z z))
(* (pow z 2) (+ x (/ x (pow z 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(* (pow z 2) (+ x (/ x (pow z 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(* (pow z 2) (+ x (/ x (pow z 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(* x (pow z 2))
(*.f64 x (*.f64 z z))
(* (pow z 2) (+ x (/ x (pow z 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(* (pow z 2) (+ x (/ x (pow z 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(* (pow z 2) (+ x (/ x (pow z 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))
1
#s(literal 1 binary64)
(+ 1 (pow z 2))
(+.f64 #s(literal 1 binary64) (*.f64 z z))
(+ 1 (pow z 2))
(+.f64 #s(literal 1 binary64) (*.f64 z z))
(+ 1 (pow z 2))
(+.f64 #s(literal 1 binary64) (*.f64 z z))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(+.f64 #s(literal 1 binary64) (*.f64 z z))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(+.f64 #s(literal 1 binary64) (*.f64 z z))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(+.f64 #s(literal 1 binary64) (*.f64 z z))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(+.f64 #s(literal 1 binary64) (*.f64 z z))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(+.f64 #s(literal 1 binary64) (*.f64 z z))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(+.f64 #s(literal 1 binary64) (*.f64 z z))
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
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(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
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(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
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(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
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(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
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(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
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(/ 1 (* x (* y (pow z 2))))
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(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
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(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
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(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
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(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(*.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 z z))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 z z) #s(literal -1 binary64))) (*.f64 x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(*.f64 (+.f64 (*.f64 (*.f64 z z) (*.f64 z z)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 z z))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))) (*.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))) (*.f64 z z))) (*.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/.f64 (+.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))) (*.f64 z z))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 z z))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))) (*.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))) (*.f64 z z))) (*.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/.f64 (+.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))) (*.f64 z z))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 z 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)

eval238.0ms (2.5%)

Compiler

Compiled 31886 to 2313 computations (92.7% saved)

prune175.0ms (1.9%)

Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New1616131629
Fresh639
Picked415
Done011
Total1626181644
Accuracy
100.0%
Counts
1644 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶53.8%
(/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) y)
▶62.3%
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) z) y)
53.8%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) x) y)
61.1%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (*.f64 y z))
47.8%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) x)
▶62.0%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x z) z)) y)
53.9%
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (*.f64 z z)))
53.9%
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
44.7%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 y (-.f64 (*.f64 (*.f64 z z) (*.f64 y (*.f64 z z))) y)) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 z z) #s(literal -1 binary64))))))
✓86.0%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
✓53.9%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
30.1%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (/.f64 #s(literal -1 binary64) (*.f64 y x)))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y x))))
62.2%
(/.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) z) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) z)) y)
45.9%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))) x)
▶54.1%
(/.f64 #s(literal 1 binary64) (*.f64 y x))
53.8%
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
▶61.6%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y z)) (/.f64 #s(literal 1 binary64) z))
53.8%
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
Compiler

Compiled 494 to 297 computations (39.9% saved)

simplify17.0ms (0.2%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(pow.f64 x #s(literal -1/2 binary64))
✓cost-diff0
(/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) y)
✓cost-diff12800
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
✓cost-diff0
(*.f64 y z)
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y z))
✓cost-diff128
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y z)) (/.f64 #s(literal 1 binary64) z))
✓cost-diff0
(*.f64 x z)
✓cost-diff0
(*.f64 (*.f64 x z) z)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x z) z))
✓cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x z) z)) y)
✓cost-diff0
(*.f64 y x)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 y x))
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) x) z)
✓cost-diff0
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) z)
✓cost-diff0
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) z) y)
Rules
276×*-lowering-*.f32
276×*-lowering-*.f64
194×associate-*r*
146×associate-*l*
128×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02398
15492
211592
319792
430392
550592
653692
053692
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ (/ (/ (/ 1 x) z) z) y)
(/ (/ (/ 1 x) z) z)
(/ (/ 1 x) z)
(/ 1 x)
1
x
z
y
(/ 1 (* y x))
1
(* y x)
y
x
(/ (/ 1 (* (* x z) z)) y)
(/ 1 (* (* x z) z))
1
(* (* x z) z)
(* x z)
x
z
y
(* (/ (/ 1 x) (* y z)) (/ 1 z))
(/ (/ 1 x) (* y z))
(/ 1 x)
1
x
(* y z)
y
z
(/ 1 z)
(/ (pow (pow x -1/2) 2) y)
(pow (pow x -1/2) 2)
(pow x -1/2)
x
-1/2
2
y
Outputs
(/ (/ (/ (/ 1 x) z) z) y)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) y) x)
(/ (/ (/ 1 x) z) z)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) z)
(/ (/ 1 x) z)
(/.f64 (/.f64 #s(literal 1 binary64) x) z)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
z
y
(/ 1 (* y x))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
1
#s(literal 1 binary64)
(* y x)
(*.f64 x y)
y
x
(/ (/ 1 (* (* x z) z)) y)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) y) x)
(/ 1 (* (* x z) z))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) z)
1
#s(literal 1 binary64)
(* (* x z) z)
(*.f64 x (*.f64 z z))
(* x z)
(*.f64 x z)
x
z
y
(* (/ (/ 1 x) (* y z)) (/ 1 z))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) y) x)
(/ (/ 1 x) (* y z))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z y)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(* y z)
(*.f64 z y)
y
z
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ (pow (pow x -1/2) 2) y)
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(pow (pow x -1/2) 2)
(/.f64 #s(literal 1 binary64) x)
(pow x -1/2)
(pow.f64 x #s(literal -1/2 binary64))
x
-1/2
#s(literal -1/2 binary64)
2
#s(literal 2 binary64)
y

localize177.0ms (1.9%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(pow.f64 x #s(literal -1/2 binary64))
✓accuracy99.7%
(/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) y)
✓accuracy99.3%
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
✓accuracy100.0%
(*.f64 y z)
✓accuracy95.5%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y z)) (/.f64 #s(literal 1 binary64) z))
✓accuracy89.4%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y z))
✓accuracy100.0%
(*.f64 x z)
✓accuracy99.8%
(*.f64 (*.f64 x z) z)
✓accuracy99.4%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x z) z))
✓accuracy92.0%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x z) z)) y)
✓accuracy100.0%
(*.f64 y x)
✓accuracy99.4%
(/.f64 #s(literal 1 binary64) (*.f64 y x))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
✓accuracy99.8%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) z)
✓accuracy99.7%
(/.f64 (/.f64 #s(literal 1 binary64) x) z)
✓accuracy92.0%
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) z) y)
Results
116.0ms256×0valid
Compiler

Compiled 121 to 24 computations (80.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-div: 18.0ms (47.1% of total)
ival-mult: 10.0ms (26.2% of total)
ival-pow: 10.0ms (26.2% of total)
const: 1.0ms (2.6% of total)
backward-pass: 0.0ms (0% of total)

series14.0ms (0.1%)

Counts
16 → 396
Calls
Call 1
Inputs
#<alt (/ (/ (/ (/ 1 x) z) z) y)>
#<alt (/ (/ (/ 1 x) z) z)>
#<alt (/ (/ 1 x) z)>
#<alt (/ 1 x)>
#<alt (/ 1 (* y x))>
#<alt (* y x)>
#<alt (/ (/ 1 (* (* x z) z)) y)>
#<alt (/ 1 (* (* x z) z))>
#<alt (* (* x z) z)>
#<alt (* x z)>
#<alt (* (/ (/ 1 x) (* y z)) (/ 1 z))>
#<alt (/ (/ 1 x) (* y z))>
#<alt (* y z)>
#<alt (pow (pow x -1/2) 2)>
#<alt (/ (pow (pow x -1/2) 2) y)>
#<alt (pow x -1/2)>
Outputs
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<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)>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<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 (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y z)))>
#<alt (/ 1 (* x (* y z)))>
#<alt (/ 1 (* x (* y z)))>
#<alt (/ 1 (* x (* y z)))>
#<alt (/ 1 (* x (* y z)))>
#<alt (/ 1 (* x (* y z)))>
#<alt (/ 1 (* x (* y z)))>
#<alt (/ 1 (* x (* y z)))>
#<alt (/ 1 (* x (* y z)))>
#<alt (/ 1 (* x (* y z)))>
#<alt (/ 1 (* x (* y z)))>
#<alt (/ 1 (* x (* y z)))>
#<alt (/ 1 (* x (* y z)))>
#<alt (/ 1 (* x (* y z)))>
#<alt (/ 1 (* x (* y z)))>
#<alt (/ 1 (* x (* y z)))>
#<alt (/ 1 (* x (* y z)))>
#<alt (/ 1 (* x (* y z)))>
#<alt (/ 1 (* x (* y z)))>
#<alt (/ 1 (* x (* y z)))>
#<alt (/ 1 (* x (* y z)))>
#<alt (/ 1 (* x (* y z)))>
#<alt (/ 1 (* x (* y z)))>
#<alt (/ 1 (* x (* y z)))>
#<alt (/ 1 (* x (* y z)))>
#<alt (/ 1 (* x (* y z)))>
#<alt (/ 1 (* x (* y z)))>
#<alt (/ 1 (* x (* y z)))>
#<alt (/ 1 (* x (* y z)))>
#<alt (/ 1 (* x (* y z)))>
#<alt (/ 1 (* x (* y z)))>
#<alt (/ 1 (* x (* y z)))>
#<alt (/ 1 (* x (* y z)))>
#<alt (/ 1 (* x (* y z)))>
#<alt (/ 1 (* x (* y z)))>
#<alt (/ 1 (* 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 (/ 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 (/ (pow (sqrt -1) 2) x))>
#<alt (* -1 (/ (pow (sqrt -1) 2) x))>
#<alt (* -1 (/ (pow (sqrt -1) 2) x))>
#<alt (* -1 (/ (pow (sqrt -1) 2) x))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (* -1 (/ (pow (sqrt -1) 2) (* x y)))>
#<alt (* -1 (/ (pow (sqrt -1) 2) (* x y)))>
#<alt (* -1 (/ (pow (sqrt -1) 2) (* x y)))>
#<alt (* -1 (/ (pow (sqrt -1) 2) (* x y)))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
Calls

99 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/ (/ 1 x) (* y z))
1.0ms
x
@-inf
(pow (pow x -1/2) 2)
1.0ms
y
@0
(/ (/ 1 x) (* y z))
1.0ms
x
@0
(pow x -1/2)
0.0ms
z
@0
(/ (/ 1 x) (* y z))

rewrite225.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
2154×*-lowering-*.f32
2154×*-lowering-*.f64
1394×frac-times
1142×/-lowering-/.f32
1142×/-lowering-/.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02375
112769
275769
3465469
0834169
Stop Event
1×iter limit
1×node limit
Counts
16 → 1181
Calls
Call 1
Inputs
(/ (/ (/ (/ 1 x) z) z) y)
(/ (/ (/ 1 x) z) z)
(/ (/ 1 x) z)
(/ 1 x)
(/ 1 (* y x))
(* y x)
(/ (/ 1 (* (* x z) z)) y)
(/ 1 (* (* x z) z))
(* (* x z) z)
(* x z)
(* (/ (/ 1 x) (* y z)) (/ 1 z))
(/ (/ 1 x) (* y z))
(* y z)
(pow (pow x -1/2) 2)
(/ (pow (pow x -1/2) 2) y)
(pow x -1/2)
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 z (*.f64 z y)))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x)) (*.f64 (log.f64 (*.f64 z y)) #s(literal -1 binary64))))
(exp.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)) #s(literal -1 binary64))))
(exp.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 z)) (-.f64 #s(literal 0 binary64) (log.f64 z)))))
(exp.f64 (+.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z z))) (*.f64 (log.f64 y) #s(literal -1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x (*.f64 z y))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 z))))
(exp.f64 (+.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (-.f64 #s(literal 0 binary64) (log.f64 z))) (-.f64 #s(literal 0 binary64) (log.f64 z))))
(exp.f64 (+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 z)) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (-.f64 #s(literal 0 binary64) (log.f64 z))))
(exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 z)) (*.f64 (log.f64 (*.f64 x (*.f64 z y))) #s(literal -1 binary64))))
(exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 z)) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (-.f64 #s(literal 0 binary64) (log.f64 z)))))
(exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 z)) (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 z)) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))))))
(exp.f64 (+.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z z)))))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 z y)) #s(literal -1 binary64)) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x))))
(exp.f64 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)) #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
(exp.f64 (+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 z)) (-.f64 #s(literal 0 binary64) (log.f64 z))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
(exp.f64 (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 #s(literal 2 binary64) (log.f64 z))))
(exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x (*.f64 z y))) #s(literal -1 binary64)) (log.f64 z)))
(exp.f64 (-.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (-.f64 #s(literal 0 binary64) (log.f64 z))) (log.f64 z)))
(exp.f64 (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 z)) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (log.f64 z)))
(exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)) (log.f64 (*.f64 x (*.f64 z z)))))
(exp.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)) #s(literal -1 binary64)) (log.f64 (*.f64 x y))))
(exp.f64 (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 z)) (-.f64 #s(literal 0 binary64) (log.f64 z))) (log.f64 (*.f64 x y))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z y))) x))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z y))) x))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z y))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z y))) x))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 z y)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z y))) x))
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z y))) x))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z y))) x))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z (*.f64 z y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (/.f64 (/.f64 #s(literal -1 binary64) x) y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z (*.f64 z y)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) (*.f64 z y))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (*.f64 z z))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z z)) y)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z z)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z y))) z)
(/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (*.f64 z y)))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (*.f64 z y))))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) (-.f64 #s(literal 0 binary64) (*.f64 x y))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 z (*.f64 z y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (*.f64 z z)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (*.f64 x z))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) z) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) z) (*.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z y))) x)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z y))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (*.f64 z z))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z y))) x) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x (*.f64 z z)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (pow.f64 x #s(literal -1/2 binary64)))) (/.f64 z (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 z (pow.f64 x #s(literal -1/2 binary64)))) (/.f64 y (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) #s(literal -1 binary64)) (*.f64 z y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z y))) #s(literal -1 binary64)) z)
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z z)) #s(literal -1 binary64)) y)
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (*.f64 x (*.f64 z z)))
(pow.f64 (*.f64 x (*.f64 z (*.f64 z y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z y))) x) #s(literal 1 binary64))
(pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) z) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 z z) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 x (*.f64 z (*.f64 z y))) (*.f64 x (*.f64 z (*.f64 z y)))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z y))) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z y))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) z) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) (/.f64 #s(literal 1 binary64) (*.f64 z y)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 (/.f64 #s(literal 1 binary64) z) z))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z z)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z z)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z z)) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z y))) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z y))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) z) z) y))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z y)))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) z) (/.f64 #s(literal 1 binary64) (*.f64 z y))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (/.f64 (/.f64 #s(literal 1 binary64) z) z)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) z) z) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 z y)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) z) (*.f64 z y)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 z z)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 z y)) z))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 z (*.f64 z y))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 z (*.f64 z y))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) z) z) (-.f64 #s(literal 0 binary64) y)))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z y))) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z y))))
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(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x y) (*.f64 x y))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (*.f64 (log.f64 y) #s(literal -1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 x))))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal -1/2 binary64)) (*.f64 (log.f64 (*.f64 x y)) #s(literal -1/2 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)) (log.f64 x)))
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(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))
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(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) x)
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (*.f64 x y)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1 binary64))
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(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (/.f64 (pow.f64 x #s(literal -3/4 binary64)) y))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (pow.f64 x #s(literal -3/4 binary64)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (pow.f64 x #s(literal -1/2 binary64)))
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(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
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(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)))
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(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal -3/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
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(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1/2 binary64))) (log.f64 x)))
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(/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x))) (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 #s(literal -1 binary64))))
(pow.f64 x #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 x #s(literal -1/8 binary64)) #s(literal 4 binary64))
(pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/8 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal -1/4 binary64)))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 x))
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(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(*.f64 #s(literal 1 binary64) (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 -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (pow.f64 x #s(literal -1/8 binary64)) (pow.f64 x #s(literal -3/8 binary64)))
(*.f64 (pow.f64 x #s(literal -3/8 binary64)) (pow.f64 x #s(literal -1/8 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))

simplify204.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
2612×sum3-define
2386×fma-define
1492×fmsub-define
1468×fnmadd-define
1082×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0282096
1611904
21321900
32941900
47141900
515601900
624161900
729311900
845811900
955041900
1074821900
1176181900
1276181900
1376201900
076201900
Stop Event
1×iter limit
1×saturated
Counts
396 → 396
Calls
Call 1
Inputs
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(/ 1 (* x (* y (pow z 2))))
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(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
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(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
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(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
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(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
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(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(/ 1 (* x (* y z)))
(* y z)
(* y z)
(* y z)
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(* y z)
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(* y z)
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(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* -1 (/ (pow (sqrt -1) 2) x))
(* -1 (/ (pow (sqrt -1) 2) x))
(* -1 (/ (pow (sqrt -1) 2) x))
(* -1 (/ (pow (sqrt -1) 2) x))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(* -1 (/ (pow (sqrt -1) 2) (* x y)))
(* -1 (/ (pow (sqrt -1) 2) (* x y)))
(* -1 (/ (pow (sqrt -1) 2) (* x y)))
(* -1 (/ (pow (sqrt -1) 2) (* x y)))
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(/ 1 (* x y))
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(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
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(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
Outputs
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(* x y)
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(/ 1 (* x (* y (pow z 2))))
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(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) z)
(/ 1 (* x (pow z 2)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) z)
(/ 1 (* x (pow z 2)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) z)
(/ 1 (* x (pow z 2)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) z)
(/ 1 (* x (pow z 2)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) z)
(/ 1 (* x (pow z 2)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) z)
(/ 1 (* x (pow z 2)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) z)
(/ 1 (* x (pow z 2)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) z)
(* x (pow z 2))
(*.f64 x (*.f64 z z))
(* x (pow z 2))
(*.f64 x (*.f64 z z))
(* x (pow z 2))
(*.f64 x (*.f64 z z))
(* x (pow z 2))
(*.f64 x (*.f64 z z))
(* x (pow z 2))
(*.f64 x (*.f64 z z))
(* x (pow z 2))
(*.f64 x (*.f64 z z))
(* x (pow z 2))
(*.f64 x (*.f64 z z))
(* x (pow z 2))
(*.f64 x (*.f64 z z))
(* x (pow z 2))
(*.f64 x (*.f64 z z))
(* x (pow z 2))
(*.f64 x (*.f64 z z))
(* x (pow z 2))
(*.f64 x (*.f64 z z))
(* x (pow z 2))
(*.f64 x (*.f64 z z))
(* x (pow z 2))
(*.f64 x (*.f64 z z))
(* x (pow z 2))
(*.f64 x (*.f64 z z))
(* x (pow z 2))
(*.f64 x (*.f64 z z))
(* x (pow z 2))
(*.f64 x (*.f64 z z))
(* x (pow z 2))
(*.f64 x (*.f64 z z))
(* x (pow z 2))
(*.f64 x (*.f64 z z))
(* x (pow z 2))
(*.f64 x (*.f64 z z))
(* x (pow z 2))
(*.f64 x (*.f64 z z))
(* x (pow z 2))
(*.f64 x (*.f64 z z))
(* x (pow z 2))
(*.f64 x (*.f64 z z))
(* x (pow z 2))
(*.f64 x (*.f64 z z))
(* x (pow z 2))
(*.f64 x (*.f64 z 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)
(/ 1 (* x (* y (pow z 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))) z)
(/ 1 (* x (* y (pow z 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))) z)
(/ 1 (* x (* y (pow z 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))) z)
(/ 1 (* x (* y (pow z 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))) z)
(/ 1 (* x (* y (pow z 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))) z)
(/ 1 (* x (* y (pow z 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))) z)
(/ 1 (* x (* y (pow z 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))) z)
(/ 1 (* x (* y (pow z 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))) z)
(/ 1 (* x (* y (pow z 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))) z)
(/ 1 (* x (* y (pow z 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))) z)
(/ 1 (* x (* y (pow z 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))) z)
(/ 1 (* x (* y (pow z 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))) z)
(/ 1 (* x (* y (pow z 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))) z)
(/ 1 (* x (* y (pow z 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))) z)
(/ 1 (* x (* y (pow z 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))) z)
(/ 1 (* x (* y (pow z 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))) z)
(/ 1 (* x (* y (pow z 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))) z)
(/ 1 (* x (* y (pow z 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))) z)
(/ 1 (* x (* y (pow z 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))) z)
(/ 1 (* x (* y (pow z 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))) z)
(/ 1 (* x (* y (pow z 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))) z)
(/ 1 (* x (* y (pow z 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))) z)
(/ 1 (* x (* y (pow z 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))) z)
(/ 1 (* x (* y (pow z 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))) z)
(/ 1 (* x (* y (pow z 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))) z)
(/ 1 (* x (* y (pow z 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))) z)
(/ 1 (* x (* y (pow z 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))) z)
(/ 1 (* x (* y (pow z 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))) z)
(/ 1 (* x (* y (pow z 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))) z)
(/ 1 (* x (* y (pow z 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))) z)
(/ 1 (* x (* y (pow z 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))) z)
(/ 1 (* x (* y (pow z 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))) z)
(/ 1 (* x (* y (pow z 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))) z)
(/ 1 (* x (* y (pow z 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))) z)
(/ 1 (* x (* y (pow z 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))) z)
(/ 1 (* x (* y (pow z 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))) z)
(/ 1 (* x (* y z)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))
(/ 1 (* x (* y z)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))
(/ 1 (* x (* y z)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))
(/ 1 (* x (* y z)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))
(/ 1 (* x (* y z)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))
(/ 1 (* x (* y z)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))
(/ 1 (* x (* y z)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))
(/ 1 (* x (* y z)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))
(/ 1 (* x (* y z)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))
(/ 1 (* x (* y z)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))
(/ 1 (* x (* y z)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))
(/ 1 (* x (* y z)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))
(/ 1 (* x (* y z)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))
(/ 1 (* x (* y z)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))
(/ 1 (* x (* y z)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))
(/ 1 (* x (* y z)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))
(/ 1 (* x (* y z)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))
(/ 1 (* x (* y z)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))
(/ 1 (* x (* y z)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))
(/ 1 (* x (* y z)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))
(/ 1 (* x (* y z)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))
(/ 1 (* x (* y z)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))
(/ 1 (* x (* y z)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))
(/ 1 (* x (* y z)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))
(/ 1 (* x (* y z)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))
(/ 1 (* x (* y z)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))
(/ 1 (* x (* y z)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))
(/ 1 (* x (* y z)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))
(/ 1 (* x (* y z)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))
(/ 1 (* x (* y z)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))
(/ 1 (* x (* y z)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))
(/ 1 (* x (* y z)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))
(/ 1 (* x (* y z)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))
(/ 1 (* x (* y z)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))
(/ 1 (* x (* y z)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))
(/ 1 (* x (* y z)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.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)
(* y z)
(*.f64 y z)
(/ 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 (/ (pow (sqrt -1) 2) x))
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (pow (sqrt -1) 2) x))
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (pow (sqrt -1) 2) x))
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (pow (sqrt -1) 2) x))
(/.f64 #s(literal 1 binary64) x)
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(* -1 (/ (pow (sqrt -1) 2) (* x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(* -1 (/ (pow (sqrt -1) 2) (* x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(* -1 (/ (pow (sqrt -1) 2) (* x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(* -1 (/ (pow (sqrt -1) 2) (* x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))

eval243.0ms (2.6%)

Compiler

Compiled 19202 to 2091 computations (89.1% saved)

prune136.0ms (1.4%)

Pruning

20 alts after pruning (14 fresh and 6 done)

PrunedKeptTotal
New163161637
Fresh3811
Picked145
Done022
Total1635201655
Accuracy
100.0%
Counts
1655 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓53.8%
(/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) y)
43.5%
(/.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) z) z) y)
62.3%
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) z) y)
▶62.3%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x z)) y)
▶61.1%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (*.f64 y z))
47.8%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) x)
✓62.0%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x z) z)) y)
53.9%
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (*.f64 z z)))
▶53.9%
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
44.7%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 y (-.f64 (*.f64 (*.f64 z z) (*.f64 y (*.f64 z z))) y)) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 z z) #s(literal -1 binary64))))))
✓86.0%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
✓53.9%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
30.1%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (/.f64 #s(literal -1 binary64) (*.f64 y x)))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y x))))
▶45.9%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))) x)
▶54.1%
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
54.1%
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) y)))
✓54.1%
(/.f64 #s(literal 1 binary64) (*.f64 y x))
53.8%
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (/.f64 (pow.f64 x #s(literal -3/4 binary64)) y))
✓61.6%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y z)) (/.f64 #s(literal 1 binary64) z))
53.8%
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
Compiler

Compiled 482 to 296 computations (38.6% saved)

simplify194.0ms (2.1%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))))
✓cost-diff0
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))) x)
✓cost-diff1024
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))
✓cost-diff0
(*.f64 y z)
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) x) z)
✓cost-diff0
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (*.f64 y z))
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
✓cost-diff128
(/.f64 y (/.f64 #s(literal 1 binary64) x))
✓cost-diff0
(/.f64 #s(literal 1 binary64) y)
✓cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
✓cost-diff0
(*.f64 x z)
✓cost-diff0
(/.f64 #s(literal 1 binary64) z)
✓cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x z))
✓cost-diff0
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x z)) y)
Rules
2636×*-lowering-*.f32
2636×*-lowering-*.f64
2242×/-lowering-/.f32
2242×/-lowering-/.f64
1276×sum4-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
025163
180157
2235126
31201123
44489123
08426123
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (/ (/ 1 z) (* x z)) y)
(/ (/ 1 z) (* x z))
(/ 1 z)
1
z
(* x z)
x
y
(/ (/ 1 y) x)
(/ 1 y)
1
y
x
(/ 1 (/ y (/ 1 x)))
1
(/ y (/ 1 x))
y
(/ 1 x)
x
(/ (/ (/ 1 x) z) (* y z))
(/ (/ 1 x) z)
(/ 1 x)
1
x
z
(* y z)
y
(/ (* (/ 1 (* (* y (+ 1 (* z z))) (* y (- 1 (* z z))))) (* y (- 1 (* z z)))) x)
(* (/ 1 (* (* y (+ 1 (* z z))) (* y (- 1 (* z z))))) (* y (- 1 (* z z))))
(/ 1 (* (* y (+ 1 (* z z))) (* y (- 1 (* z z)))))
1
(* (* y (+ 1 (* z z))) (* y (- 1 (* z z))))
(* y (+ 1 (* z z)))
y
(+ 1 (* z z))
(* z z)
z
(* y (- 1 (* z z)))
(- 1 (* z z))
x
Outputs
(/ (/ (/ 1 z) (* x z)) y)
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ (/ 1 z) (* x z))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z z)))
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
1
#s(literal 1 binary64)
z
(* x z)
(*.f64 z x)
x
y
(/ (/ 1 y) x)
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
x
(/ 1 (/ y (/ 1 x)))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
1
#s(literal 1 binary64)
(/ y (/ 1 x))
(*.f64 x y)
y
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
x
(/ (/ (/ 1 x) z) (* y z))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ (/ 1 x) z)
(/.f64 #s(literal 1 binary64) (*.f64 z x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
z
(* y z)
(*.f64 z y)
y
(/ (* (/ 1 (* (* y (+ 1 (* z z))) (* y (- 1 (* z z))))) (* y (- 1 (* z z)))) x)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z z))) y) x)
(* (/ 1 (* (* y (+ 1 (* z z))) (* y (- 1 (* z z))))) (* y (- 1 (* z z))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z z))) y)
(/ 1 (* (* y (+ 1 (* z z))) (* y (- 1 (* z z)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
1
#s(literal 1 binary64)
(* (* y (+ 1 (* z z))) (* y (- 1 (* z z))))
(*.f64 y (*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z z)) (-.f64 #s(literal 1 binary64) (*.f64 z z)))))
(* y (+ 1 (* z z)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
y
(+ 1 (* z z))
(+.f64 #s(literal 1 binary64) (*.f64 z z))
(* z z)
(*.f64 z z)
z
(* y (- 1 (* z z)))
(*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))
(- 1 (* z z))
(-.f64 #s(literal 1 binary64) (*.f64 z z))
x

localize143.0ms (1.5%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy97.0%
(*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))
✓accuracy97.0%
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
✓accuracy89.2%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))) x)
✓accuracy35.6%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
✓accuracy100.0%
(*.f64 y z)
✓accuracy99.7%
(/.f64 (/.f64 #s(literal 1 binary64) x) z)
✓accuracy95.8%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (*.f64 y z))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
✓accuracy99.7%
(/.f64 y (/.f64 #s(literal 1 binary64) x))
✓accuracy99.4%
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
✓accuracy99.7%
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) z)
✓accuracy100.0%
(*.f64 x z)
✓accuracy99.7%
(/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x z))
✓accuracy92.0%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x z)) y)
Results
108.0ms256×0valid
Compiler

Compiled 198 to 26 computations (86.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-div: 23.0ms (56.8% of total)
ival-mult: 12.0ms (29.6% of total)
ival-sub: 4.0ms (9.9% of total)
ival-add: 1.0ms (2.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series21.0ms (0.2%)

Counts
18 → 432
Calls
Call 1
Inputs
#<alt (/ (/ (/ 1 z) (* x z)) y)>
#<alt (/ (/ 1 z) (* x z))>
#<alt (/ 1 z)>
#<alt (* x z)>
#<alt (/ (/ 1 y) x)>
#<alt (/ 1 y)>
#<alt (/ y (/ 1 x))>
#<alt (/ 1 (/ y (/ 1 x)))>
#<alt (/ 1 x)>
#<alt (/ (/ (/ 1 x) z) (* y z))>
#<alt (/ (/ 1 x) z)>
#<alt (* y z)>
#<alt (* (/ 1 (* (* y (+ 1 (* z z))) (* y (- 1 (* z z))))) (* y (- 1 (* z z))))>
#<alt (/ (* (/ 1 (* (* y (+ 1 (* z z))) (* y (- 1 (* z z))))) (* y (- 1 (* z z)))) x)>
#<alt (/ 1 (* (* y (+ 1 (* z z))) (* y (- 1 (* z z)))))>
#<alt (* (* y (+ 1 (* z z))) (* y (- 1 (* z z))))>
#<alt (* y (+ 1 (* z z)))>
#<alt (* y (- 1 (* z z)))>
Outputs
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<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 (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<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)>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x 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 (/ 1 (* y (+ 1 (pow z 2))))>
#<alt (/ 1 (* y (+ 1 (pow z 2))))>
#<alt (/ 1 (* y (+ 1 (pow z 2))))>
#<alt (/ 1 (* y (+ 1 (pow z 2))))>
#<alt (/ 1 (* y (+ 1 (pow z 2))))>
#<alt (/ 1 (* y (+ 1 (pow z 2))))>
#<alt (/ 1 (* y (+ 1 (pow z 2))))>
#<alt (/ 1 (* y (+ 1 (pow z 2))))>
#<alt (/ 1 (* y (+ 1 (pow z 2))))>
#<alt (/ 1 (* y (+ 1 (pow z 2))))>
#<alt (/ 1 (* y (+ 1 (pow z 2))))>
#<alt (/ 1 (* y (+ 1 (pow z 2))))>
#<alt (/ 1 y)>
#<alt (+ (* -1 (/ (pow z 2) y)) (/ 1 y))>
#<alt (+ (* (pow z 2) (- (/ (pow z 2) y) (/ 1 y))) (/ 1 y))>
#<alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) y)) (/ 1 y))) (/ 1 y))) (/ 1 y))>
#<alt (/ 1 (* y (pow z 2)))>
#<alt (/ (- (/ 1 y) (/ 1 (* y (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (/ 1 (* y (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (+ (/ 1 (* y (pow z 2))) (/ 1 (* y (pow z 6))))) (pow z 2))>
#<alt (/ 1 (* y (pow z 2)))>
#<alt (/ (- (/ 1 y) (/ 1 (* y (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (/ 1 (* y (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (+ (/ 1 (* y (pow z 2))) (/ 1 (* y (pow z 6))))) (pow z 2))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x y))>
#<alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* (pow y 2) (* (+ 1 (pow z 2)) (- 1 (pow z 2)))))>
#<alt (/ 1 (* (pow y 2) (* (+ 1 (pow z 2)) (- 1 (pow z 2)))))>
#<alt (/ 1 (* (pow y 2) (* (+ 1 (pow z 2)) (- 1 (pow z 2)))))>
#<alt (/ 1 (* (pow y 2) (* (+ 1 (pow z 2)) (- 1 (pow z 2)))))>
#<alt (/ 1 (* (pow y 2) (* (+ 1 (pow z 2)) (- 1 (pow z 2)))))>
#<alt (/ 1 (* (pow y 2) (* (+ 1 (pow z 2)) (- 1 (pow z 2)))))>
#<alt (/ 1 (* (pow y 2) (* (+ 1 (pow z 2)) (- 1 (pow z 2)))))>
#<alt (/ 1 (* (pow y 2) (* (+ 1 (pow z 2)) (- 1 (pow z 2)))))>
#<alt (/ 1 (* (pow y 2) (* (+ 1 (pow z 2)) (- 1 (pow z 2)))))>
#<alt (/ 1 (* (pow y 2) (* (+ 1 (pow z 2)) (- 1 (pow z 2)))))>
#<alt (/ 1 (* (pow y 2) (* (+ 1 (pow z 2)) (- 1 (pow z 2)))))>
#<alt (/ 1 (* (pow y 2) (* (+ 1 (pow z 2)) (- 1 (pow z 2)))))>
#<alt (/ 1 (pow y 2))>
#<alt (+ (/ 1 (pow y 2)) (/ (pow z 4) (pow y 2)))>
#<alt (+ (* (pow z 4) (+ (/ 1 (pow y 2)) (/ (pow z 4) (pow y 2)))) (/ 1 (pow y 2)))>
#<alt (+ (* (pow z 4) (+ (* (pow z 4) (+ (/ 1 (pow y 2)) (/ (pow z 4) (pow y 2)))) (/ 1 (pow y 2)))) (/ 1 (pow y 2)))>
#<alt (/ -1 (* (pow y 2) (pow z 4)))>
#<alt (* -1 (/ (+ (/ 1 (* (pow y 2) (pow z 4))) (/ 1 (pow y 2))) (pow z 4)))>
#<alt (/ (- (* -1 (/ (+ (/ 1 (* (pow y 2) (pow z 4))) (/ 1 (pow y 2))) (pow z 4))) (/ 1 (pow y 2))) (pow z 4))>
#<alt (/ (- (* -1 (/ (+ (/ 1 (* (pow y 2) (pow z 4))) (/ 1 (pow y 2))) (pow z 8))) (+ (/ 1 (* (pow y 2) (pow z 4))) (/ 1 (pow y 2)))) (pow z 4))>
#<alt (/ -1 (* (pow y 2) (pow z 4)))>
#<alt (* -1 (/ (+ (/ 1 (* (pow y 2) (pow z 4))) (/ 1 (pow y 2))) (pow z 4)))>
#<alt (/ (- (* -1 (/ (+ (/ 1 (* (pow y 2) (pow z 4))) (/ 1 (pow y 2))) (pow z 4))) (/ 1 (pow y 2))) (pow z 4))>
#<alt (/ (- (* -1 (/ (+ (/ 1 (* (pow y 2) (pow z 4))) (/ 1 (pow y 2))) (pow z 8))) (+ (/ 1 (* (pow y 2) (pow z 4))) (/ 1 (pow y 2)))) (pow z 4))>
#<alt (* (pow y 2) (* (+ 1 (pow z 2)) (- 1 (pow z 2))))>
#<alt (* (pow y 2) (* (+ 1 (pow z 2)) (- 1 (pow z 2))))>
#<alt (* (pow y 2) (* (+ 1 (pow z 2)) (- 1 (pow z 2))))>
#<alt (* (pow y 2) (* (+ 1 (pow z 2)) (- 1 (pow z 2))))>
#<alt (* (pow y 2) (* (+ 1 (pow z 2)) (- 1 (pow z 2))))>
#<alt (* (pow y 2) (* (+ 1 (pow z 2)) (- 1 (pow z 2))))>
#<alt (* (pow y 2) (* (+ 1 (pow z 2)) (- 1 (pow z 2))))>
#<alt (* (pow y 2) (* (+ 1 (pow z 2)) (- 1 (pow z 2))))>
#<alt (* (pow y 2) (* (+ 1 (pow z 2)) (- 1 (pow z 2))))>
#<alt (* (pow y 2) (* (+ 1 (pow z 2)) (- 1 (pow z 2))))>
#<alt (* (pow y 2) (* (+ 1 (pow z 2)) (- 1 (pow z 2))))>
#<alt (* (pow y 2) (* (+ 1 (pow z 2)) (- 1 (pow z 2))))>
#<alt (pow y 2)>
#<alt (+ (* -1 (* (pow y 2) (pow z 4))) (pow y 2))>
#<alt (+ (* -1 (* (pow y 2) (pow z 4))) (pow y 2))>
#<alt (+ (* -1 (* (pow y 2) (pow z 4))) (pow y 2))>
#<alt (* -1 (* (pow y 2) (pow z 4)))>
#<alt (* (pow z 4) (+ (* -1 (pow y 2)) (/ (pow y 2) (pow z 4))))>
#<alt (* (pow z 4) (+ (* -1 (pow y 2)) (/ (pow y 2) (pow z 4))))>
#<alt (* (pow z 4) (+ (* -1 (pow y 2)) (/ (pow y 2) (pow z 4))))>
#<alt (* -1 (* (pow y 2) (pow z 4)))>
#<alt (* (pow z 4) (+ (* -1 (pow y 2)) (/ (pow y 2) (pow z 4))))>
#<alt (* (pow z 4) (+ (* -1 (pow y 2)) (/ (pow y 2) (pow z 4))))>
#<alt (* (pow z 4) (+ (* -1 (pow y 2)) (/ (pow y 2) (pow z 4))))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt y>
#<alt (+ y (* y (pow z 2)))>
#<alt (+ y (* y (pow z 2)))>
#<alt (+ y (* y (pow z 2)))>
#<alt (* y (pow z 2))>
#<alt (* (pow z 2) (+ y (/ y (pow z 2))))>
#<alt (* (pow z 2) (+ y (/ y (pow z 2))))>
#<alt (* (pow z 2) (+ y (/ y (pow z 2))))>
#<alt (* y (pow z 2))>
#<alt (* (pow z 2) (+ y (/ y (pow z 2))))>
#<alt (* (pow z 2) (+ y (/ y (pow z 2))))>
#<alt (* (pow z 2) (+ y (/ y (pow z 2))))>
#<alt (* y (- 1 (pow z 2)))>
#<alt (* y (- 1 (pow z 2)))>
#<alt (* y (- 1 (pow z 2)))>
#<alt (* y (- 1 (pow z 2)))>
#<alt (* y (- 1 (pow z 2)))>
#<alt (* y (- 1 (pow z 2)))>
#<alt (* y (- 1 (pow z 2)))>
#<alt (* y (- 1 (pow z 2)))>
#<alt (* y (- 1 (pow z 2)))>
#<alt (* y (- 1 (pow z 2)))>
#<alt (* y (- 1 (pow z 2)))>
#<alt (* y (- 1 (pow z 2)))>
#<alt y>
#<alt (+ y (* -1 (* y (pow z 2))))>
#<alt (+ y (* -1 (* y (pow z 2))))>
#<alt (+ y (* -1 (* y (pow z 2))))>
#<alt (* -1 (* y (pow z 2)))>
#<alt (* (pow z 2) (+ (* -1 y) (/ y (pow z 2))))>
#<alt (* (pow z 2) (+ (* -1 y) (/ y (pow z 2))))>
#<alt (* (pow z 2) (+ (* -1 y) (/ y (pow z 2))))>
#<alt (* -1 (* y (pow z 2)))>
#<alt (* (pow z 2) (+ (* -1 y) (/ y (pow z 2))))>
#<alt (* (pow z 2) (+ (* -1 y) (/ y (pow z 2))))>
#<alt (* (pow z 2) (+ (* -1 y) (/ y (pow z 2))))>
Calls

108 calls:

TimeVariablePointExpression
7.0ms
y
@inf
(* y (- 1 (* z z)))
2.0ms
z
@0
(/ 1 (* (* y (+ 1 (* z z))) (* y (- 1 (* z z)))))
1.0ms
y
@0
(/ 1 (* (* y (+ 1 (* z z))) (* y (- 1 (* z z)))))
1.0ms
z
@inf
(/ 1 (* (* y (+ 1 (* z z))) (* y (- 1 (* z z)))))
0.0ms
y
@inf
(/ 1 (* (* y (+ 1 (* z z))) (* y (- 1 (* z z)))))

rewrite346.0ms (3.7%)

Algorithm
1×batch-egg-rewrite
Rules
5066×*-lowering-*.f32
5066×*-lowering-*.f64
4388×/-lowering-/.f32
4388×/-lowering-/.f64
916×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
025133
1167127
2123888
0854088
Stop Event
1×iter limit
1×node limit
Counts
18 → 1200
Calls
Call 1
Inputs
(/ (/ (/ 1 z) (* x z)) y)
(/ (/ 1 z) (* x z))
(/ 1 z)
(* x z)
(/ (/ 1 y) x)
(/ 1 y)
(/ y (/ 1 x))
(/ 1 (/ y (/ 1 x)))
(/ 1 x)
(/ (/ (/ 1 x) z) (* y z))
(/ (/ 1 x) z)
(* y z)
(* (/ 1 (* (* y (+ 1 (* z z))) (* y (- 1 (* z z))))) (* y (- 1 (* z z))))
(/ (* (/ 1 (* (* y (+ 1 (* z z))) (* y (- 1 (* z z))))) (* y (- 1 (* z z)))) x)
(/ 1 (* (* y (+ 1 (* z z))) (* y (- 1 (* z z)))))
(* (* y (+ 1 (* z z))) (* y (- 1 (* z z))))
(* y (+ 1 (* z z)))
(* y (- 1 (* z z)))
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 z (*.f64 z (*.f64 x y)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z x)) z) y))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) z))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z x)) z) y))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z x)) z) y))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 x y)))) (/.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 x y)))))
(neg.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z x)) z) y))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)))))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 x y)))))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x y)))))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) z)))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z y)))))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 z z))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z x)) z) y)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z x)) z)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (/.f64 #s(literal -1 binary64) (*.f64 z x))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x y))) (/.f64 #s(literal -1 binary64) z)))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z (*.f64 x y))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 z (*.f64 z x))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 z (*.f64 z y))))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 z (*.f64 z (*.f64 x y)))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z y)) (*.f64 z x)))
(/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 x y))))
(/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z (*.f64 x y)))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) z) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z (*.f64 z x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z (*.f64 z y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) (*.f64 z y))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 x y)))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z (*.f64 x y)))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z))))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z x)) z) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 x y))))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z x)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))
(/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 z (*.f64 x (-.f64 #s(literal 0 binary64) z))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (*.f64 z z))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (*.f64 z x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x y))) z)
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (-.f64 #s(literal 0 binary64) (*.f64 z z)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z y))) x)
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z y)) (*.f64 x (-.f64 #s(literal 0 binary64) z)))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z (*.f64 x y))) (-.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 z y))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) z)) (*.f64 x (-.f64 #s(literal 0 binary64) z)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (/.f64 #s(literal 1 binary64) z)) x)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (/.f64 #s(literal 1 binary64) x)) z)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x y))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) y)) x)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 z z))) x)
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 x y))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 z x))) (-.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) z)) z)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal -1 binary64)) (*.f64 x (-.f64 #s(literal 0 binary64) z)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (/.f64 #s(literal -1 binary64) z)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z y)))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z x)) #s(literal -1 binary64)) (*.f64 z y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y)) z)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (-.f64 #s(literal 0 binary64) z))) (-.f64 #s(literal 0 binary64) z))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z (*.f64 z y))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z x)) z) #s(literal -1 binary64)) y)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z (*.f64 x y))) #s(literal -1 binary64)) z)
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z y)) z) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z y)) #s(literal -1 binary64)) (*.f64 z x))
(pow.f64 (*.f64 z (*.f64 z (*.f64 x y))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 x y)))))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x y))))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) z) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) z))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z y))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) (*.f64 z y))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 z z))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) (/.f64 #s(literal 1 binary64) (*.f64 z y)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 x y)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z x)) z) y))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) z)))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z y)))))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 z z))))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z)))))
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 z y))))
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -1 binary64) (*.f64 z y))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z x)) z) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) (*.f64 z (*.f64 x y))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z x)) (/.f64 #s(literal -1 binary64) (*.f64 z y)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z x)) z))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (pow.f64 (*.f64 z z) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (/.f64 (/.f64 #s(literal 1 binary64) z) x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x y))) (/.f64 #s(literal 1 binary64) z))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) z)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x y)))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z y)))))
(*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z z))))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z x)) z) y) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z y))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z y)) (/.f64 #s(literal -1 binary64) (*.f64 z x)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z (*.f64 x y))) (/.f64 #s(literal -1 binary64) z))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (pow.f64 (*.f64 z (*.f64 z (*.f64 x y))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 z (*.f64 z (*.f64 x y))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) z) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal -1 binary64) (*.f64 z x)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x y))) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (-.f64 #s(literal 0 binary64) z))) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (-.f64 #s(literal 0 binary64) z)) (/.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 (log.f64 (*.f64 z (*.f64 z x))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 z))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z x)) z))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) z)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z x)) z))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 z z))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z x)) z))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) z))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z x)) z))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z x)) z))
(/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z x)))
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(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) y) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z (*.f64 z z))))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (+.f64 (*.f64 z z) #s(literal -1 binary64)))))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) y) (+.f64 (*.f64 z (*.f64 z (*.f64 z z))) #s(literal -1 binary64))) (+.f64 (*.f64 z z) #s(literal -1 binary64)))

simplify273.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
2766×*-lowering-*.f32
2766×*-lowering-*.f64
2068×+-lowering-+.f64
2068×+-lowering-+.f32
1994×fma-lowering-fma.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01163109
13462668
29902638
331582584
479402572
086792572
Stop Event
1×iter limit
1×node limit
Counts
432 → 432
Calls
Call 1
Inputs
(/ 1 (* x (* y (pow z 2))))
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(/ 1 (* x (* y (pow z 2))))
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(+ (* -1 (/ (pow z 2) y)) (/ 1 y))
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(/ 1 (* y (pow z 2)))
(/ (- (/ 1 y) (/ 1 (* y (pow z 2)))) (pow z 2))
(/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (/ 1 (* y (pow z 2)))) (pow z 2))
(/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (+ (/ 1 (* y (pow z 2))) (/ 1 (* y (pow z 6))))) (pow z 2))
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(* (pow y 2) (* (+ 1 (pow z 2)) (- 1 (pow z 2))))
(* (pow y 2) (* (+ 1 (pow z 2)) (- 1 (pow z 2))))
(pow y 2)
(+ (* -1 (* (pow y 2) (pow z 4))) (pow y 2))
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(+ (* -1 (* (pow y 2) (pow z 4))) (pow y 2))
(* -1 (* (pow y 2) (pow z 4)))
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(* (pow z 4) (+ (* -1 (pow y 2)) (/ (pow y 2) (pow z 4))))
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(* y (+ 1 (pow z 2)))
y
(+ y (* y (pow z 2)))
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y
(+ y (* -1 (* y (pow z 2))))
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Outputs
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
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(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
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(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
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(/ 1 (* x (* y (pow z 2))))
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(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
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(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
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(/ 1 (* x (* y (pow z 2))))
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(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
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(/ 1 (* x (* y (pow z 2))))
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(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (pow z 2)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) x)
(/ 1 (* x (pow z 2)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) x)
(/ 1 (* x (pow z 2)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) x)
(/ 1 (* x (pow z 2)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) x)
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(*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))
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(*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))
(* y (- 1 (pow z 2)))
(*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))
(* y (- 1 (pow z 2)))
(*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))
y
(+ y (* -1 (* y (pow z 2))))
(*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))
(+ y (* -1 (* y (pow z 2))))
(*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))
(+ y (* -1 (* y (pow z 2))))
(*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))
(* -1 (* y (pow z 2)))
(-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 z z)))
(* (pow z 2) (+ (* -1 y) (/ y (pow z 2))))
(*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))
(* (pow z 2) (+ (* -1 y) (/ y (pow z 2))))
(*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))
(* (pow z 2) (+ (* -1 y) (/ y (pow z 2))))
(*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))
(* -1 (* y (pow z 2)))
(-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 z z)))
(* (pow z 2) (+ (* -1 y) (/ y (pow z 2))))
(*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))
(* (pow z 2) (+ (* -1 y) (/ y (pow z 2))))
(*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))
(* (pow z 2) (+ (* -1 y) (/ y (pow z 2))))
(*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))

eval238.0ms (2.5%)

Compiler

Compiled 40862 to 3737 computations (90.9% saved)

prune230.0ms (2.4%)

Pruning

20 alts after pruning (11 fresh and 9 done)

PrunedKeptTotal
New175341757
Fresh279
Picked235
Done066
Total1757201777
Accuracy
100.0%
Counts
1777 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓53.8%
(/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) y)
42.6%
(/.f64 (/.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) z) (*.f64 y z))
62.3%
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) z) y)
47.2%
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z z)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 y y))) (/.f64 #s(literal 1 binary64) y)) x)
✓61.1%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (*.f64 y z))
47.8%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) x)
✓62.0%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x z) z)) y)
64.5%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x y))) z)
53.9%
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (*.f64 z z)))
✓53.9%
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
✓86.0%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
✓53.9%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
30.1%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (/.f64 #s(literal -1 binary64) (*.f64 y x)))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y x))))
39.0%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))) x)
✓54.1%
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
54.1%
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) y)))
✓54.1%
(/.f64 #s(literal 1 binary64) (*.f64 y x))
53.8%
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (/.f64 (pow.f64 x #s(literal -3/4 binary64)) y))
✓61.6%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y z)) (/.f64 #s(literal 1 binary64) z))
53.8%
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
Compiler

Compiled 727 to 291 computations (60% saved)

regimes113.0ms (1.2%)

Counts
39 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 z z)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (*.f64 z z)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z z))) y)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x y))) z)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x z) z)) y)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) x)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (*.f64 y z))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x z)) y)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) x) y)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) y) x)
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) z) y)
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) z) y)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y z)) (/.f64 #s(literal 1 binary64) z))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (-.f64 #s(literal -1 binary64) (*.f64 z z)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z z))) y) x)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))) x)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (/.f64 #s(literal -1 binary64) (*.f64 y x)))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y x))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 y (-.f64 (*.f64 (*.f64 z z) (*.f64 y (*.f64 z z))) y)) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 z z) #s(literal -1 binary64))))))
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z z)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 y y))) (/.f64 #s(literal 1 binary64) y)) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
(/.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) z) z) y)
(/.f64 (/.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) z) (*.f64 y z))
(/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) y)
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (/.f64 (pow.f64 x #s(literal -3/4 binary64)) y))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) z) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) z)) y)
(/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1/2 binary64)) (*.f64 x y)))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (*.f64 y z))
Calls

8 calls:

25.0ms
(/.f64 #s(literal 1 binary64) x)
18.0ms
z
13.0ms
x
13.0ms
y
11.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
89.8%1x
94.3%2y
99.2%2z
95.7%2(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
89.8%1(/.f64 #s(literal 1 binary64) x)
98.2%2(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
99.2%2(+.f64 #s(literal 1 binary64) (*.f64 z z))
99.2%2(*.f64 z z)
Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes21.0ms (0.2%)

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

3 calls:

7.0ms
(+.f64 #s(literal 1 binary64) (*.f64 z z))
6.0ms
z
6.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
98.4%2z
98.4%2(+.f64 #s(literal 1 binary64) (*.f64 z z))
98.4%2(*.f64 z z)
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes20.0ms (0.2%)

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

2 calls:

13.0ms
(*.f64 z z)
6.0ms
z
Results
AccuracySegmentsBranch
99.1%3z
97.5%2(*.f64 z z)
Compiler

Compiled 10 to 7 computations (30% saved)

regimes11.0ms (0.1%)

Counts
12 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 z z)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (*.f64 z z)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z z))) y)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x y))) z)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x z) z)) y)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) x)
Outputs
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) x)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x z) z)) y)
Calls

2 calls:

5.0ms
(*.f64 z z)
4.0ms
z
Results
AccuracySegmentsBranch
97.3%2(*.f64 z z)
97.3%2z
Compiler

Compiled 10 to 7 computations (30% saved)

regimes8.0ms (0.1%)

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

2 calls:

4.0ms
z
4.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
97.3%2z
97.3%2(*.f64 z z)
Compiler

Compiled 10 to 7 computations (30% saved)

regimes16.0ms (0.2%)

Counts
10 → 3
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 z z)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (*.f64 z z)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z z))) y)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x y))) z)
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (*.f64 z z)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x y))) z)
Calls

3 calls:

7.0ms
(*.f64 z z)
4.0ms
y
4.0ms
z
Results
AccuracySegmentsBranch
69.9%4y
95.1%3z
95.1%3(*.f64 z z)
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes15.0ms (0.2%)

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

4 calls:

4.0ms
(*.f64 z z)
3.0ms
(/.f64 #s(literal 1 binary64) x)
3.0ms
x
3.0ms
z
Results
AccuracySegmentsBranch
64.3%4(/.f64 #s(literal 1 binary64) x)
64.3%4x
89.2%2(*.f64 z z)
89.2%2z
Compiler

Compiled 20 to 15 computations (25% saved)

regimes16.0ms (0.2%)

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

2 calls:

12.0ms
z
2.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
85.4%2z
85.4%2(*.f64 z z)
Compiler

Compiled 10 to 7 computations (30% saved)

regimes11.0ms (0.1%)

Accuracy

Total -0.3b remaining (-0.9%)

Threshold costs -0.3b (-0.9%)

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

4 calls:

3.0ms
(/.f64 #s(literal 1 binary64) x)
3.0ms
x
3.0ms
y
3.0ms
z
Results
AccuracySegmentsBranch
54.1%1x
54.1%1(/.f64 #s(literal 1 binary64) x)
54.1%1y
54.1%1z
Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.7369896970423818e+308
+inf
Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.00308642878166e+229
1.6201572733713218e+231
Compiler

Compiled 20 to 14 computations (30% saved)

bsearch51.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
22.0ms
5.261448097494396e+227
1.734462419628937e+230
26.0ms
0.009730490885760248
0.4270983456141285
Results
40.0ms240×0valid
Compiler

Compiled 410 to 284 computations (30.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-div: 18.0ms (78.6% of total)
ival-mult: 3.0ms (13.1% of total)
ival-add: 1.0ms (4.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch19.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
17.0ms
0.009730490885760248
0.4270983456141285
Results
14.0ms112×0valid
Compiler

Compiled 202 to 140 computations (30.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-add: 6.0ms (63.8% of total)
ival-div: 2.0ms (21.3% of total)
ival-mult: 2.0ms (21.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
9.468245287786325e-5
0.18241299682632556
Compiler

Compiled 20 to 14 computations (30% saved)

bsearch42.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
27.0ms
1.3179490494865049e+154
1.3655021081563764e+159
12.0ms
0.009730490885760248
0.4270983456141285
Results
20.0ms256×0valid
Compiler

Compiled 408 to 288 computations (29.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 4.0ms (41.1% of total)
ival-mult: 4.0ms (41.1% of total)
ival-add: 2.0ms (20.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch15.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
0.009730490885760248
0.4270983456141285
Results
9.0ms112×0valid
Compiler

Compiled 174 to 126 computations (27.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (47% of total)
ival-mult: 2.0ms (47% of total)
ival-add: 1.0ms (23.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch15.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
0.009730490885760248
0.4270983456141285
Results
10.0ms112×0valid
Compiler

Compiled 174 to 126 computations (27.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 3.0ms (56.9% of total)
ival-mult: 2.0ms (37.9% of total)
ival-add: 1.0ms (19% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify12.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
20×*-commutative_binary64
10×+-commutative_binary64
8×sub-neg_binary64
4×neg-sub0_binary64
4×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057201
176201
283201
387201
489201
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 z z) #s(literal +inf.0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (*.f64 y z)))
(if (<=.f64 (*.f64 z z) #s(literal 19999999999999999836777221245888555157266854023040746648359793341285923569054049205612780991738616816940675431370589468387985186797779692394447533106893958186103920770675008711375515345125281086808706628454884068855007427340271616 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (-.f64 #s(literal -1 binary64) (*.f64 z z))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (*.f64 y z)))
(if (<=.f64 z #s(literal 7566047373982433/18014398509481984 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) x) (if (<=.f64 z #s(literal 3599999999999999997551795640187612285381901924493593164322502591886116403060927080722209208514004836271294243387958974591990134167232819321660049080181988252713117364459131519818337958300186938366885633489611444822922785808449536 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x z) z)) y) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (*.f64 y z))))
(if (<=.f64 z #s(literal 7566047373982433/18014398509481984 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x z) z)) y))
(if (<=.f64 (*.f64 z z) #s(literal 7378697629483821/73786976294838206464 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x z) z)) y))
(if (<=.f64 z #s(literal 7566047373982433/18014398509481984 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (if (<=.f64 z #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (*.f64 z z))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x y))) z)))
(if (<=.f64 z #s(literal 7566047373982433/18014398509481984 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (*.f64 z z))))
(if (<=.f64 z #s(literal 7566047373982433/18014398509481984 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
Outputs
(if (<=.f64 (*.f64 z z) #s(literal +inf.0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (*.f64 y z)))
(if (<=.f64 (*.f64 z z) #s(literal +inf.0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (+.f64 (*.f64 z z) #s(literal 1 binary64)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (*.f64 z y)))
(if (<=.f64 (*.f64 z z) #s(literal 19999999999999999836777221245888555157266854023040746648359793341285923569054049205612780991738616816940675431370589468387985186797779692394447533106893958186103920770675008711375515345125281086808706628454884068855007427340271616 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (-.f64 #s(literal -1 binary64) (*.f64 z z))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (*.f64 y z)))
(if (<=.f64 (*.f64 z z) #s(literal 19999999999999999836777221245888555157266854023040746648359793341285923569054049205612780991738616816940675431370589468387985186797779692394447533106893958186103920770675008711375515345125281086808706628454884068855007427340271616 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (-.f64 #s(literal -1 binary64) (*.f64 z z))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (*.f64 z y)))
(if (<=.f64 z #s(literal 7566047373982433/18014398509481984 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) x) (if (<=.f64 z #s(literal 3599999999999999997551795640187612285381901924493593164322502591886116403060927080722209208514004836271294243387958974591990134167232819321660049080181988252713117364459131519818337958300186938366885633489611444822922785808449536 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x z) z)) y) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (*.f64 y z))))
(if (<=.f64 z #s(literal 7566047373982433/18014398509481984 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) x) (if (<=.f64 z #s(literal 3599999999999999997551795640187612285381901924493593164322502591886116403060927080722209208514004836271294243387958974591990134167232819321660049080181988252713117364459131519818337958300186938366885633489611444822922785808449536 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z x))) y) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (*.f64 z y))))
(if (<=.f64 z #s(literal 7566047373982433/18014398509481984 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x z) z)) y))
(if (<=.f64 z #s(literal 7566047373982433/18014398509481984 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z x))) y))
(if (<=.f64 (*.f64 z z) #s(literal 7378697629483821/73786976294838206464 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x z) z)) y))
(if (<=.f64 (*.f64 z z) #s(literal 7378697629483821/73786976294838206464 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z x))) y))
(if (<=.f64 z #s(literal 7566047373982433/18014398509481984 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (if (<=.f64 z #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (*.f64 z z))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x y))) z)))
(if (<=.f64 z #s(literal 7566047373982433/18014398509481984 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (if (<=.f64 z #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 z z) x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y x))) z)))
(if (<=.f64 z #s(literal 7566047373982433/18014398509481984 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (*.f64 z z))))
(if (<=.f64 z #s(literal 7566047373982433/18014398509481984 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 z z) x)))
(if (<=.f64 z #s(literal 7566047373982433/18014398509481984 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 z z))))
(if (<=.f64 z #s(literal 7566047373982433/18014398509481984 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 z z) y)))
(/.f64 #s(literal 1 binary64) (*.f64 y x))

soundness2.2s (23.4%)

Rules
5066×*-lowering-*.f32
5066×*-lowering-*.f64
4388×/-lowering-/.f32
4388×/-lowering-/.f64
4178×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0941633
12761356
28001348
330211307
081491307
02375
112769
275769
3465469
0834169
099
1259
2488
31118
41798
52468
62508
02508
02384
115683
2112179
0872179
025133
1167127
2123888
0854088
01244
18044
257740
3426240
0829740
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×saturated
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 575 to 307 computations (46.6% saved)

preprocess306.0ms (3.2%)

Compiler

Compiled 852 to 344 computations (59.6% saved)

end0.0ms (0%)

Profiling

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