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

Time bar (total: 10.1s)

analyze124.0ms (1.2%)

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: 36.0ms
ival-div: 17.0ms (47.1% of total)
ival-mult: 13.0ms (36% of total)
ival-add: 5.0ms (13.9% of total)
const: 1.0ms (2.8% of total)
backward-pass: 0.0ms (0% of total)

sample1.3s (12.6%)

Results
1.0s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 664.0ms
ival-mult: 421.0ms (63.4% of total)
ival-div: 180.0ms (27.1% of total)
ival-add: 49.0ms (7.4% of total)
const: 11.0ms (1.7% of total)
backward-pass: 3.0ms (0.5% of total)
Bogosity

preprocess68.0ms (0.7%)

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)

explain111.0ms (1.1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
270-0-(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
20-0-(*.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
79.0ms512×0valid
Compiler

Compiled 88 to 29 computations (67% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-div: 9.0ms (44.1% of total)
ival-mult: 8.0ms (39.2% of total)
ival-add: 3.0ms (14.7% of total)
const: 1.0ms (4.9% 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
▶89.6%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z z))) y) x)
▶89.2%
(/.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)

simplify16.0ms (0.2%)

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

localize74.0ms (0.7%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 z z)
✓accuracy99.5%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z z)))
✓accuracy99.4%
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z z))) y)
✓accuracy90.4%
(/.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)
✓accuracy99.2%
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
✓accuracy89.9%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
Results
56.0ms256×0valid
Compiler

Compiled 76 to 13 computations (82.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-div: 8.0ms (51.3% of total)
ival-mult: 4.0ms (25.6% of total)
ival-add: 3.0ms (19.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series16.0ms (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
4.0ms
y
@inf
(/ (/ 1 x) (* 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))))

rewrite381.0ms (3.8%)

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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(/.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))))
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(/.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)))
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(*.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))))))
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(*.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)))

simplify252.0ms (2.5%)

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)))))
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(/ 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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(* 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)

eval105.0ms (1%)

Compiler

Compiled 24275 to 1901 computations (92.2% saved)

prune140.0ms (1.4%)

Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New92414938
Fresh000
Picked112
Done000
Total92515940
Accuracy
94.9%
Counts
940 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶67.9%
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) y) x)
✓89.6%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z z))) y) x)
48.9%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) y) x)
53.2%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) x)
91.2%
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 x y))
▶53.1%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z z))) y)
60.3%
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
89.9%
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
48.4%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 z z)))
▶60.3%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
▶91.0%
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (-.f64 #s(literal -1 binary64) (*.f64 z z)))
89.6%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 z z))) (/.f64 #s(literal -1 binary64) y)) x)
▶93.2%
(*.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)))
88.9%
(*.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)))))
69.2%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y))
Compiler

Compiled 436 to 265 computations (39.2% saved)

simplify188.0ms (1.9%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 z z))
✓cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))
✓cost-diff0
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) y)
✓cost-diff0
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) y) x)
✓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 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))
✓cost-diff0
(*.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z))))
✓cost-diff0
(pow.f64 (*.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal -1/2 binary64))
✓cost-diff13440
(*.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)))
Rules
2726×*-lowering-*.f32
2726×*-lowering-*.f64
2266×sum3-define
1192×fnmadd-define
1120×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
028171
182161
2190154
3509152
41264152
52884152
66850152
08410152
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (pow (* y (* x (+ 1 (* z z)))) -1/2) (pow (* y (* x (+ 1 (* z z)))) -1/2))
(pow (* y (* x (+ 1 (* z z)))) -1/2)
(* y (* x (+ 1 (* z z))))
y
(* x (+ 1 (* z z)))
x
(+ 1 (* z z))
1
(* z z)
z
-1/2
(/ (/ 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 (* z z)) (- 1 (* z (* z (* z z))))) y) x)
(/ (/ (- 1 (* z z)) (- 1 (* z (* z (* z z))))) y)
(/ (- 1 (* z z)) (- 1 (* z (* z (* z z)))))
(- 1 (* z z))
1
(* z z)
z
(- 1 (* z (* z (* z z))))
(* z (* z (* z z)))
(* z (* z z))
y
x
Outputs
(* (pow (* y (* x (+ 1 (* z z)))) -1/2) (pow (* y (* x (+ 1 (* z z)))) -1/2))
(/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 z z)))))
(pow (* y (* x (+ 1 (* z z)))) -1/2)
(pow.f64 (*.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal -1/2 binary64))
(* y (* x (+ 1 (* z z))))
(*.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z))))
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))
1
#s(literal 1 binary64)
(* z z)
(*.f64 z z)
z
-1/2
#s(literal -1/2 binary64)
(/ (/ 1 x) y)
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 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 y (*.f64 x (*.f64 z z))))
(/ 1 (* x (* z z)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 #s(literal -1 binary64) (*.f64 y (*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 z z)))))
(/ -1 (* x y))
(/.f64 #s(literal -1 binary64) (*.f64 y x))
-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 (* z z)) (- 1 (* z (* z (* z z))))) y) x)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))))
(/ (/ (- 1 (* z z)) (- 1 (* z (* z (* z z))))) y)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))))
(/ (- 1 (* z z)) (- 1 (* z (* z (* z z)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))
(- 1 (* z z))
(-.f64 #s(literal 1 binary64) (*.f64 z z))
1
#s(literal 1 binary64)
(* z z)
(*.f64 z z)
z
(- 1 (* z (* z (* z z))))
(-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))
(* z (* z (* z z)))
(*.f64 z (*.f64 z (*.f64 z z)))
(* z (* z z))
(*.f64 z (*.f64 z z))
y
x

localize197.0ms (2%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 z (*.f64 z z))
✓accuracy99.4%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) y)
✓accuracy90.4%
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) y) x)
✓accuracy66.7%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))
✓accuracy100.0%
(*.f64 z z)
✓accuracy100.0%
(*.f64 x y)
✓accuracy99.4%
(/.f64 #s(literal -1 binary64) (*.f64 x y))
✓accuracy91.5%
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (-.f64 #s(literal -1 binary64) (*.f64 z z)))
✓accuracy100.0%
(*.f64 z z)
✓accuracy99.3%
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z z)))
✓accuracy91.0%
(*.f64 x (*.f64 z z))
✓accuracy88.9%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z z))) y)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
✓accuracy99.7%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
✓accuracy99.5%
(*.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)))
✓accuracy98.5%
(*.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z))))
✓accuracy93.7%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))
✓accuracy71.3%
(pow.f64 (*.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal -1/2 binary64))
Results
157.0ms256×0valid
Compiler

Compiled 221 to 29 computations (86.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-mult: 15.0ms (30.3% of total)
ival-div: 14.0ms (28.3% of total)
ival-pow: 14.0ms (28.3% of total)
ival-sub: 4.0ms (8.1% of total)
ival-add: 1.0ms (2% of total)
const: 1.0ms (2% of total)
backward-pass: 0.0ms (0% of total)

series45.0ms (0.4%)

Counts
19 → 456
Calls
Call 1
Inputs
#<alt (* (pow (* y (* x (+ 1 (* z z)))) -1/2) (pow (* y (* x (+ 1 (* z z)))) -1/2))>
#<alt (pow (* y (* x (+ 1 (* z z)))) -1/2)>
#<alt (* y (* x (+ 1 (* z z))))>
#<alt (* x (+ 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 (/ (/ (/ (- 1 (* z z)) (- 1 (* z (* z (* z z))))) y) x)>
#<alt (/ (/ (- 1 (* z z)) (- 1 (* z (* z (* z z))))) y)>
#<alt (/ (- 1 (* z z)) (- 1 (* z (* z (* z z)))))>
#<alt (- 1 (* z z))>
#<alt (* z (* 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 (/ (pow (sqrt -1) 2) (* x (* y (+ 1 (pow z 2))))))>
#<alt (* -1 (/ (pow (sqrt -1) 2) (* x (* y (+ 1 (pow z 2))))))>
#<alt (* -1 (/ (pow (sqrt -1) 2) (* x (* y (+ 1 (pow z 2))))))>
#<alt (* -1 (/ (pow (sqrt -1) 2) (* 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 (sqrt -1) 2) (* x (* y (+ 1 (pow z 2))))))>
#<alt (* -1 (/ (pow (sqrt -1) 2) (* x (* y (+ 1 (pow z 2))))))>
#<alt (* -1 (/ (pow (sqrt -1) 2) (* x (* y (+ 1 (pow z 2))))))>
#<alt (* -1 (/ (pow (sqrt -1) 2) (* 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 (sqrt (/ 1 (* x (* y (+ 1 (pow z 2))))))>
#<alt (sqrt (/ 1 (* x (* y (+ 1 (pow z 2))))))>
#<alt (sqrt (/ 1 (* x (* y (+ 1 (pow z 2))))))>
#<alt (sqrt (/ 1 (* x (* y (+ 1 (pow z 2))))))>
#<alt (sqrt (/ 1 (* x (* y (+ 1 (pow z 2))))))>
#<alt (sqrt (/ 1 (* x (* y (+ 1 (pow z 2))))))>
#<alt (sqrt (/ 1 (* x (* y (+ 1 (pow z 2))))))>
#<alt (sqrt (/ 1 (* x (* y (+ 1 (pow z 2))))))>
#<alt (* (sqrt (/ 1 (* x (* y (+ 1 (pow z 2)))))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 (* x (* y (+ 1 (pow z 2)))))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 (* x (* y (+ 1 (pow z 2)))))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 (* x (* y (+ 1 (pow z 2)))))) (pow (sqrt -1) 2))>
#<alt (sqrt (/ 1 (* x (* y (+ 1 (pow z 2))))))>
#<alt (sqrt (/ 1 (* x (* y (+ 1 (pow z 2))))))>
#<alt (sqrt (/ 1 (* x (* y (+ 1 (pow z 2))))))>
#<alt (sqrt (/ 1 (* x (* y (+ 1 (pow z 2))))))>
#<alt (sqrt (/ 1 (* x (* y (+ 1 (pow z 2))))))>
#<alt (sqrt (/ 1 (* x (* y (+ 1 (pow z 2))))))>
#<alt (sqrt (/ 1 (* x (* y (+ 1 (pow z 2))))))>
#<alt (sqrt (/ 1 (* x (* y (+ 1 (pow z 2))))))>
#<alt (* (sqrt (/ 1 (* x (* y (+ 1 (pow z 2)))))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 (* x (* y (+ 1 (pow z 2)))))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 (* x (* y (+ 1 (pow z 2)))))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 (* x (* y (+ 1 (pow z 2)))))) (pow (sqrt -1) 2))>
#<alt (sqrt (/ 1 (* x y)))>
#<alt (+ (sqrt (/ 1 (* x y))) (* -1/2 (* (sqrt (/ 1 (* x y))) (pow z 2))))>
#<alt (+ (sqrt (/ 1 (* x y))) (* (pow z 2) (+ (* -1/2 (sqrt (/ 1 (* x y)))) (* 3/8 (* (sqrt (/ 1 (* x y))) (pow z 2))))))>
#<alt (+ (sqrt (/ 1 (* x y))) (* (pow z 2) (+ (* -1/2 (sqrt (/ 1 (* x y)))) (* (pow z 2) (+ (* -5/16 (* (sqrt (/ 1 (* x y))) (pow z 2))) (* 3/8 (sqrt (/ 1 (* x y)))))))))>
#<alt (* (sqrt (/ 1 (* x y))) (/ 1 z))>
#<alt (/ (+ (sqrt (/ 1 (* x y))) (* -1/2 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 2))))) z)>
#<alt (/ (+ (sqrt (/ 1 (* x y))) (+ (* -1/2 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 2)))) (* 3/8 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 4)))))) z)>
#<alt (/ (+ (sqrt (/ 1 (* x y))) (+ (* -1/2 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 2)))) (+ (* -5/16 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 6)))) (* 3/8 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 4))))))) z)>
#<alt (* -1 (* (sqrt (/ 1 (* x y))) (/ 1 z)))>
#<alt (* -1 (/ (+ (sqrt (/ 1 (* x y))) (* -1/2 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 2))))) z))>
#<alt (* -1 (/ (+ (sqrt (/ 1 (* x y))) (+ (* -1/2 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 2)))) (* 3/8 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 4)))))) z))>
#<alt (* -1 (/ (+ (sqrt (/ 1 (* x y))) (+ (* -1/2 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 2)))) (+ (* -5/16 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 6)))) (* 3/8 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 4))))))) z))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x y)>
#<alt (+ (* x y) (* x (* y (pow z 2))))>
#<alt (+ (* x y) (* x (* y (pow z 2))))>
#<alt (+ (* x y) (* x (* y (pow z 2))))>
#<alt (* x (* y (pow z 2)))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (* x (* y (pow z 2)))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (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 (+ 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 (* 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 (/ 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 (pow z 2)) (* x (* y (- 1 (pow z 4)))))>
#<alt (/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))>
#<alt (/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))>
#<alt (/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))>
#<alt (/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))>
#<alt (/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))>
#<alt (/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))>
#<alt (/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))>
#<alt (/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))>
#<alt (/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))>
#<alt (/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))>
#<alt (/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))>
#<alt (/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))>
#<alt (/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))>
#<alt (/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))>
#<alt (/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))>
#<alt (/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))>
#<alt (/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))>
#<alt (/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))>
#<alt (/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))>
#<alt (/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))>
#<alt (/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))>
#<alt (/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))>
#<alt (/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))>
#<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 (pow z 2)) (* y (- 1 (pow z 4))))>
#<alt (/ (- 1 (pow z 2)) (* y (- 1 (pow z 4))))>
#<alt (/ (- 1 (pow z 2)) (* y (- 1 (pow z 4))))>
#<alt (/ (- 1 (pow z 2)) (* y (- 1 (pow z 4))))>
#<alt (/ (- 1 (pow z 2)) (* y (- 1 (pow z 4))))>
#<alt (/ (- 1 (pow z 2)) (* y (- 1 (pow z 4))))>
#<alt (/ (- 1 (pow z 2)) (* y (- 1 (pow z 4))))>
#<alt (/ (- 1 (pow z 2)) (* y (- 1 (pow z 4))))>
#<alt (/ (- 1 (pow z 2)) (* y (- 1 (pow z 4))))>
#<alt (/ (- 1 (pow z 2)) (* y (- 1 (pow z 4))))>
#<alt (/ (- 1 (pow z 2)) (* y (- 1 (pow z 4))))>
#<alt (/ (- 1 (pow z 2)) (* y (- 1 (pow z 4))))>
#<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 1>
#<alt (+ 1 (* -1 (pow z 2)))>
#<alt (+ 1 (* -1 (pow z 2)))>
#<alt (+ 1 (* -1 (pow z 2)))>
#<alt (* -1 (pow z 2))>
#<alt (* (pow z 2) (- (/ 1 (pow z 2)) 1))>
#<alt (* (pow z 2) (- (/ 1 (pow z 2)) 1))>
#<alt (* (pow z 2) (- (/ 1 (pow z 2)) 1))>
#<alt (* -1 (pow z 2))>
#<alt (* (pow z 2) (- (/ 1 (pow z 2)) 1))>
#<alt (* (pow z 2) (- (/ 1 (pow z 2)) 1))>
#<alt (* (pow z 2) (- (/ 1 (pow z 2)) 1))>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
Calls

114 calls:

TimeVariablePointExpression
4.0ms
y
@-inf
(* (pow (* y (* x (+ 1 (* z z)))) -1/2) (pow (* y (* x (+ 1 (* z z)))) -1/2))
3.0ms
y
@-inf
(/ (/ 1 x) y)
2.0ms
y
@0
(/ (/ (- 1 (* z z)) (- 1 (* z (* z (* z z))))) y)
2.0ms
x
@-inf
(/ (/ 1 (* x (* z z))) y)
1.0ms
y
@0
(/ (/ (/ (- 1 (* z z)) (- 1 (* z (* z (* z z))))) y) x)

rewrite409.0ms (4.1%)

Algorithm
1×batch-egg-rewrite
Rules
3724×/-lowering-/.f32
3724×/-lowering-/.f64
3450×*-lowering-*.f32
3450×*-lowering-*.f64
1260×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028111
1191106
21395100
08579100
Stop Event
1×iter limit
1×node limit
Counts
19 → 1493
Calls
Call 1
Inputs
(* (pow (* y (* x (+ 1 (* z z)))) -1/2) (pow (* y (* x (+ 1 (* z z)))) -1/2))
(pow (* y (* x (+ 1 (* z z)))) -1/2)
(* y (* x (+ 1 (* z z))))
(* x (+ 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))
(/ (/ (/ (- 1 (* z z)) (- 1 (* z (* z (* z z))))) y) x)
(/ (/ (- 1 (* z z)) (- 1 (* z (* z (* z z))))) y)
(/ (- 1 (* z z)) (- 1 (* z (* z (* z z)))))
(- 1 (* z z))
(* z (* z z))
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))) (neg.f64 (/.f64 (/.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 y x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z))))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (*.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))))) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (*.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))))) (*.f64 #s(literal -1/2 binary64) (log.f64 (*.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z))))))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) x) y)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))) (/.f64 (/.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 y x)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))) (/.f64 (*.f64 z z) (*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) x) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) y)) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) y)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))) (/.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 z z))) (+.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) (*.f64 z z))))) (*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))) (/.f64 (/.f64 (*.f64 (*.f64 z 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))))) (*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))))) (/.f64 (*.f64 z z) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))))) (/.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 z z))) (+.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) (*.f64 z z))))) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))))) (/.f64 (/.f64 (*.f64 (*.f64 z 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))))) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))) x) (/.f64 (/.f64 (*.f64 z z) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))) x))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z z))) (-.f64 #s(literal 0 binary64) (*.f64 y x))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) x) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (+.f64 #s(literal -1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (*.f64 y x) (+.f64 #s(literal -1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))))
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) x) y)))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (-.f64 #s(literal 0 binary64) x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) y) (/.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal -1 binary64) (*.f64 z z))) (/.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))) (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y x) (+.f64 #s(literal -1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (+.f64 (*.f64 z z) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) x) (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (-.f64 #s(literal 0 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 z z))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 z z))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x (+.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) x) (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 y (-.f64 #s(literal -1 binary64) (*.f64 z z)))))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) x) y))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z))))))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (-.f64 #s(literal -1 binary64) (*.f64 z z)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (neg.f64 (*.f64 (*.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 z z))) (*.f64 y x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 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 #s(literal 0 binary64) (*.f64 y x)))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (/.f64 x #s(literal -1 binary64)))
(/.f64 (+.f64 (*.f64 z z) #s(literal -1 binary64)) (*.f64 (*.f64 y x) (+.f64 #s(literal -1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))))
(/.f64 (+.f64 (*.f64 z z) #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))))
(/.f64 (+.f64 (*.f64 z z) #s(literal -1 binary64)) (neg.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))))))
(/.f64 (+.f64 (*.f64 z z) #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) x)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (+.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) x) (-.f64 #s(literal 0 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) y))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y x)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 z z))) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) x) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) (*.f64 z z))) y)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 z z))) x) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))) y)
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 y x)) (*.f64 (*.f64 y x) (/.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))))) (*.f64 (*.f64 y x) (*.f64 y x)))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) (*.f64 z z)))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64))) (neg.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal -1 binary64))) (*.f64 y x))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 z z))) #s(literal -1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal -1 binary64))) x)
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) x)) (-.f64 #s(literal 0 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 z z))) x)) y)
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z))))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 y x)) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))))) (+.f64 (*.f64 (/.f64 (/.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 y x)) (/.f64 (/.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 y x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))) (/.f64 (/.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 y x))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))))) (*.f64 (/.f64 (/.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 y x)) (/.f64 (/.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 y x)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))) (/.f64 (/.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 y x))))
(pow.f64 (*.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 x (+.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 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))) y) #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal -1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (*.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 #s(literal 1 binary64) (*.f64 z z))))) #s(literal -1/4 binary64))
(pow.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z))))))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z z)))) y))
(*.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) x) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 z z))) (/.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) x) y)))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 z z))) (*.f64 y x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) (-.f64 #s(literal 0 binary64) x))))
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(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) (*.f64 z z))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 z 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))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) (*.f64 z z)))))) (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 z 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))))) (/.f64 (*.f64 (*.f64 z 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)))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) (*.f64 z z))))) (/.f64 (*.f64 (*.f64 z 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)))))))))
(/.f64 (-.f64 (*.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 (*.f64 z (*.f64 z (*.f64 z z))) (+.f64 #s(literal 1 binary64) (*.f64 z z))) (/.f64 (*.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 z))) (/.f64 (*.f64 z (*.f64 z (*.f64 z z))) (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) (*.f64 z z)))))) (*.f64 (/.f64 (*.f64 (*.f64 z 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))))) (/.f64 (*.f64 (*.f64 z 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))))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) (*.f64 z z))))) (/.f64 (*.f64 (*.f64 z 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 #s(literal 1 binary64) (*.f64 z z))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z z)))
(*.f64 #s(literal -1 binary64) (+.f64 (*.f64 z z) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.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 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 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 #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 #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 (*.f64 z z) (+.f64 #s(literal 1 binary64) (*.f64 z z))))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #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 #s(literal 1 binary64) (+.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 z (*.f64 z (*.f64 z z)))) (/.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 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.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 z (*.f64 z (*.f64 z z)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (+.f64 (*.f64 z z) #s(literal -1 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (*.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 #s(literal 1 binary64) (+.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 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z z)))))
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(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z (*.f64 z z)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))))) (/.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 (*.f64 z z) (+.f64 (*.f64 z z) #s(literal -1 binary64)))))))
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(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.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 #s(literal 1 binary64) (*.f64 z z))))
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(exp.f64 (*.f64 (log.f64 z) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)) #s(literal 3/2 binary64)))
(pow.f64 z #s(literal 3 binary64))
(pow.f64 (*.f64 z z) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 z #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 z)) #s(literal 3 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))
(*.f64 z (*.f64 z z))
(*.f64 (*.f64 z z) z)
(*.f64 (*.f64 z (*.f64 z z)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (*.f64 z (*.f64 z z)))
(*.f64 (pow.f64 (*.f64 z z) #s(literal 3/4 binary64)) (pow.f64 (*.f64 z z) #s(literal 3/4 binary64)))

simplify393.0ms (3.9%)

Algorithm
1×egg-herbie
Rules
3500×*-lowering-*.f32
3500×*-lowering-*.f64
1920×/-lowering-/.f32
1920×/-lowering-/.f64
1368×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01594149
14863563
215243482
358403397
080693397
Stop Event
1×iter limit
1×node limit
Counts
456 → 456
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)))))
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(* -1 (/ (pow (sqrt -1) 2) (* x (* y (+ 1 (pow z 2))))))
(* -1 (/ (pow (sqrt -1) 2) (* x (* y (+ 1 (pow z 2))))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
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(/ 1 (* x (* y (+ 1 (pow z 2)))))
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(* -1 (/ (pow (sqrt -1) 2) (* x (* y (+ 1 (pow z 2))))))
(* -1 (/ (pow (sqrt -1) 2) (* x (* y (+ 1 (pow z 2))))))
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(/ (- (/ 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 (* 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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(sqrt (/ 1 (* x (* y (+ 1 (pow z 2))))))
(sqrt (/ 1 (* x (* y (+ 1 (pow z 2))))))
(sqrt (/ 1 (* x (* y (+ 1 (pow z 2))))))
(sqrt (/ 1 (* x (* y (+ 1 (pow z 2))))))
(sqrt (/ 1 (* x (* y (+ 1 (pow z 2))))))
(sqrt (/ 1 (* x (* y (+ 1 (pow z 2))))))
(* (sqrt (/ 1 (* x (* y (+ 1 (pow z 2)))))) (pow (sqrt -1) 2))
(* (sqrt (/ 1 (* x (* y (+ 1 (pow z 2)))))) (pow (sqrt -1) 2))
(* (sqrt (/ 1 (* x (* y (+ 1 (pow z 2)))))) (pow (sqrt -1) 2))
(* (sqrt (/ 1 (* x (* y (+ 1 (pow z 2)))))) (pow (sqrt -1) 2))
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(sqrt (/ 1 (* x (* y (+ 1 (pow z 2))))))
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(* (sqrt (/ 1 (* x (* y (+ 1 (pow z 2)))))) (pow (sqrt -1) 2))
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(* (sqrt (/ 1 (* x (* y (+ 1 (pow z 2)))))) (pow (sqrt -1) 2))
(* (sqrt (/ 1 (* x (* y (+ 1 (pow z 2)))))) (pow (sqrt -1) 2))
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x
(+ x (* x (pow z 2)))
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(/ 1 x)
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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))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(* x (pow z 2))
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(* x (pow z 2))
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(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (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)
(/ 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)))))
(/ 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)))))
(/ 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) (* 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))
(/ -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))
(/ -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)))))
(/ 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))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/ 1 y)
(+ (* -1 (/ (pow z 2) y)) (/ 1 y))
(+ (* (pow z 2) (- (/ (pow z 2) y) (/ 1 y))) (/ 1 y))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) y)) (/ 1 y))) (/ 1 y))) (/ 1 y))
(/ 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))
(/ 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))
(/ (- 1 (pow z 2)) (* y (- 1 (pow z 4))))
(/ (- 1 (pow z 2)) (* y (- 1 (pow z 4))))
(/ (- 1 (pow z 2)) (* y (- 1 (pow z 4))))
(/ (- 1 (pow z 2)) (* y (- 1 (pow z 4))))
(/ (- 1 (pow z 2)) (* y (- 1 (pow z 4))))
(/ (- 1 (pow z 2)) (* y (- 1 (pow z 4))))
(/ (- 1 (pow z 2)) (* y (- 1 (pow z 4))))
(/ (- 1 (pow z 2)) (* y (- 1 (pow z 4))))
(/ (- 1 (pow z 2)) (* y (- 1 (pow z 4))))
(/ (- 1 (pow z 2)) (* y (- 1 (pow z 4))))
(/ (- 1 (pow z 2)) (* y (- 1 (pow z 4))))
(/ (- 1 (pow z 2)) (* y (- 1 (pow z 4))))
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))
1
(+ 1 (* -1 (pow z 2)))
(+ 1 (* -1 (pow z 2)))
(+ 1 (* -1 (pow z 2)))
(* -1 (pow z 2))
(* (pow z 2) (- (/ 1 (pow z 2)) 1))
(* (pow z 2) (- (/ 1 (pow z 2)) 1))
(* (pow z 2) (- (/ 1 (pow z 2)) 1))
(* -1 (pow z 2))
(* (pow z 2) (- (/ 1 (pow z 2)) 1))
(* (pow z 2) (- (/ 1 (pow z 2)) 1))
(* (pow z 2) (- (/ 1 (pow z 2)) 1))
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
Outputs
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(* -1 (/ (pow (sqrt -1) 2) (* x (* y (+ 1 (pow z 2))))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(* -1 (/ (pow (sqrt -1) 2) (* x (* y (+ 1 (pow z 2))))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(* -1 (/ (pow (sqrt -1) 2) (* x (* y (+ 1 (pow z 2))))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(* -1 (/ (pow (sqrt -1) 2) (* x (* y (+ 1 (pow z 2))))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(* -1 (/ (pow (sqrt -1) 2) (* x (* y (+ 1 (pow z 2))))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(* -1 (/ (pow (sqrt -1) 2) (* x (* y (+ 1 (pow z 2))))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(* -1 (/ (pow (sqrt -1) 2) (* x (* y (+ 1 (pow z 2))))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(* -1 (/ (pow (sqrt -1) 2) (* x (* y (+ 1 (pow z 2))))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) x)
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (*.f64 (/.f64 (/.f64 (*.f64 z z) y) x) (+.f64 (*.f64 z z) #s(literal -1 binary64))))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(+.f64 (*.f64 (*.f64 z z) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 (/.f64 (*.f64 z z) y) x))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) x))
(/ 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 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 x y))) (*.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z (*.f64 z (*.f64 z z)))))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 x y))) (*.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 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z (*.f64 z (*.f64 z z)))))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 x y))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (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 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 x y))) (*.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z (*.f64 z (*.f64 z z)))))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 x y))) (*.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 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z (*.f64 z (*.f64 z z)))))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 x y))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 z #s(literal 6 binary64)))) (*.f64 z z))
(sqrt (/ 1 (* x (* y (+ 1 (pow z 2))))))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(sqrt (/ 1 (* x (* y (+ 1 (pow z 2))))))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(sqrt (/ 1 (* x (* y (+ 1 (pow z 2))))))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(sqrt (/ 1 (* x (* y (+ 1 (pow z 2))))))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(sqrt (/ 1 (* x (* y (+ 1 (pow z 2))))))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(sqrt (/ 1 (* x (* y (+ 1 (pow z 2))))))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(sqrt (/ 1 (* x (* y (+ 1 (pow z 2))))))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(sqrt (/ 1 (* x (* y (+ 1 (pow z 2))))))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(* (sqrt (/ 1 (* x (* y (+ 1 (pow z 2)))))) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(* (sqrt (/ 1 (* x (* y (+ 1 (pow z 2)))))) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(* (sqrt (/ 1 (* x (* y (+ 1 (pow z 2)))))) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(* (sqrt (/ 1 (* x (* y (+ 1 (pow z 2)))))) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(sqrt (/ 1 (* x (* y (+ 1 (pow z 2))))))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(sqrt (/ 1 (* x (* y (+ 1 (pow z 2))))))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(sqrt (/ 1 (* x (* y (+ 1 (pow z 2))))))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(sqrt (/ 1 (* x (* y (+ 1 (pow z 2))))))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(sqrt (/ 1 (* x (* y (+ 1 (pow z 2))))))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(sqrt (/ 1 (* x (* y (+ 1 (pow z 2))))))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(sqrt (/ 1 (* x (* y (+ 1 (pow z 2))))))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(sqrt (/ 1 (* x (* y (+ 1 (pow z 2))))))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(* (sqrt (/ 1 (* x (* y (+ 1 (pow z 2)))))) (pow (sqrt -1) 2))
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(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) x) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.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)) 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) y) (*.f64 (*.f64 z z) (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 (*.f64 z z) y)) (/.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 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z))) 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) (*.f64 y (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z))) y)) (*.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) (*.f64 y (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal -1 binary64) (*.f64 y (pow.f64 z #s(literal 6 binary64))))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z))) y)) (*.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 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z))) 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) (*.f64 y (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z))) y)) (*.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) (*.f64 y (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal -1 binary64) (*.f64 y (pow.f64 z #s(literal 6 binary64))))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z))) y)) (*.f64 z z))
(/ (- 1 (pow z 2)) (* y (- 1 (pow z 4))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))
(/ (- 1 (pow z 2)) (* y (- 1 (pow z 4))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))
(/ (- 1 (pow z 2)) (* y (- 1 (pow z 4))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))
(/ (- 1 (pow z 2)) (* y (- 1 (pow z 4))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))
(/ (- 1 (pow z 2)) (* y (- 1 (pow z 4))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))
(/ (- 1 (pow z 2)) (* y (- 1 (pow z 4))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))
(/ (- 1 (pow z 2)) (* y (- 1 (pow z 4))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))
(/ (- 1 (pow z 2)) (* y (- 1 (pow z 4))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))
(/ (- 1 (pow z 2)) (* y (- 1 (pow z 4))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))
(/ (- 1 (pow z 2)) (* y (- 1 (pow z 4))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))
(/ (- 1 (pow z 2)) (* y (- 1 (pow z 4))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))
(/ (- 1 (pow z 2)) (* y (- 1 (pow z 4))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.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 #s(literal 1 binary64) (*.f64 (*.f64 z z) (+.f64 #s(literal -1 binary64) (*.f64 z (*.f64 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 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z))) z) z)
(/ (- (+ 1 (/ 1 (pow z 4))) (/ 1 (pow z 2))) (pow z 2))
(/.f64 (+.f64 (/.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 z z))
(/ (- (+ 1 (/ 1 (pow z 4))) (+ (/ 1 (pow z 2)) (/ 1 (pow z 6)))) (pow z 2))
(/.f64 (+.f64 (+.f64 (/.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 #s(literal -1 binary64) (pow.f64 z #s(literal 6 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 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z))) z) z)
(/ (- (+ 1 (/ 1 (pow z 4))) (/ 1 (pow z 2))) (pow z 2))
(/.f64 (+.f64 (/.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 z z))
(/ (- (+ 1 (/ 1 (pow z 4))) (+ (/ 1 (pow z 2)) (/ 1 (pow z 6)))) (pow z 2))
(/.f64 (+.f64 (+.f64 (/.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 #s(literal -1 binary64) (pow.f64 z #s(literal 6 binary64)))) (*.f64 z z))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow z 2)))
(-.f64 #s(literal 1 binary64) (*.f64 z z))
(+ 1 (* -1 (pow z 2)))
(-.f64 #s(literal 1 binary64) (*.f64 z z))
(+ 1 (* -1 (pow z 2)))
(-.f64 #s(literal 1 binary64) (*.f64 z z))
(* -1 (pow z 2))
(-.f64 #s(literal 0 binary64) (*.f64 z z))
(* (pow z 2) (- (/ 1 (pow z 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 z z))
(* (pow z 2) (- (/ 1 (pow z 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 z z))
(* (pow z 2) (- (/ 1 (pow z 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 z z))
(* -1 (pow z 2))
(-.f64 #s(literal 0 binary64) (*.f64 z z))
(* (pow z 2) (- (/ 1 (pow z 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 z z))
(* (pow z 2) (- (/ 1 (pow z 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 z z))
(* (pow z 2) (- (/ 1 (pow z 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))

eval342.0ms (3.4%)

Compiler

Compiled 64456 to 4271 computations (93.4% saved)

prune235.0ms (2.3%)

Pruning

18 alts after pruning (14 fresh and 4 done)

PrunedKeptTotal
New2430112441
Fresh639
Picked235
Done011
Total2438182456
Accuracy
100.0%
Counts
2456 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓89.6%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z z))) y) x)
▶57.5%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) z) y)
53.2%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) x)
57.5%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x z) z)) y)
✓53.1%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z z))) y)
60.3%
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
✓60.3%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
✓91.0%
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (-.f64 #s(literal -1 binary64) (*.f64 z z)))
33.1%
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 y x)) (*.f64 (*.f64 y x) (/.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))))) (*.f64 (*.f64 y x) (*.f64 y x)))
57.5%
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 #s(literal -1 binary64) x) z)) y)
▶52.9%
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z))))
▶60.1%
(/.f64 #s(literal 1 binary64) (*.f64 y x))
60.0%
(*.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)))
▶69.2%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y))
▶57.2%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (/.f64 #s(literal 1 binary64) (*.f64 x z)))
57.2%
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) z) (/.f64 (/.f64 #s(literal -1 binary64) y) z))
60.2%
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x z)))
60.2%
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
Compiler

Compiled 472 to 278 computations (41.1% saved)

simplify202.0ms (2%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 x z))
✓cost-diff0
(/.f64 #s(literal 1 binary64) y)
✓cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
✓cost-diff128
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (/.f64 #s(literal 1 binary64) (*.f64 x z)))
✓cost-diff0
(*.f64 x z)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 x z))
✓cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) z)
✓cost-diff0
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) z) y)
✓cost-diff0
(*.f64 z z)
✓cost-diff0
(*.f64 x (*.f64 z z))
✓cost-diff0
(*.f64 y (*.f64 x (*.f64 z z)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z))))
✓cost-diff0
(*.f64 y x)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 y x))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))))
✓cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) x)
✓cost-diff128
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y))
Rules
2180×*-lowering-*.f32
2180×*-lowering-*.f64
1736×sum5-define
1588×fma-define
1488×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
025147
177136
2200135
3476133
41308133
53460133
67428133
08296133
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (/ (/ 1 (- 1 (* z (* z (* z z))))) x) (/ (- 1 (* z z)) y))
(/ (/ 1 (- 1 (* z (* z (* z z))))) x)
(/ 1 (- 1 (* z (* z (* z z)))))
1
(- 1 (* z (* z (* z z))))
(* z (* z (* z z)))
z
(* z (* z z))
(* z z)
x
(/ (- 1 (* z z)) y)
(- 1 (* z z))
y
(/ 1 (* y x))
1
(* y x)
y
x
(/ 1 (* y (* x (* z z))))
1
(* y (* x (* z z)))
y
(* x (* z z))
x
(* z z)
z
(/ (/ (/ 1 (* x z)) z) y)
(/ (/ 1 (* x z)) z)
(/ 1 (* x z))
1
(* x z)
x
z
y
(* (/ (/ 1 y) z) (/ 1 (* x z)))
(/ (/ 1 y) z)
(/ 1 y)
1
y
z
(/ 1 (* x z))
(* x z)
x
Outputs
(* (/ (/ 1 (- 1 (* z (* z (* z z))))) x) (/ (- 1 (* z z)) y))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 x y)))
(/ (/ 1 (- 1 (* z (* z (* z z))))) x)
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) x))
(/ 1 (- 1 (* z (* z (* z z)))))
(/.f64 #s(literal -1 binary64) (+.f64 (*.f64 z (*.f64 z (*.f64 z z))) #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(- 1 (* z (* z (* z z))))
(-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))
(* z (* z (* z z)))
(*.f64 z (*.f64 z (*.f64 z z)))
z
(* z (* z z))
(*.f64 z (*.f64 z z))
(* z z)
(*.f64 z z)
x
(/ (- 1 (* z z)) y)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y)
(- 1 (* z z))
(-.f64 #s(literal 1 binary64) (*.f64 z 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 (* y (* x (* z z))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z (*.f64 z y))))
1
#s(literal 1 binary64)
(* y (* x (* z z)))
(*.f64 x (*.f64 z (*.f64 z y)))
y
(* x (* z z))
(*.f64 z (*.f64 z x))
x
(* z z)
(*.f64 z z)
z
(/ (/ (/ 1 (* x z)) z) y)
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z (*.f64 z y))))
(/ (/ 1 (* x z)) z)
(/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z x)))
(/ 1 (* x z))
(/.f64 (/.f64 #s(literal 1 binary64) x) z)
1
#s(literal 1 binary64)
(* x z)
(*.f64 z x)
x
z
y
(* (/ (/ 1 y) z) (/ 1 (* x z)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z (*.f64 z y))))
(/ (/ 1 y) z)
(/.f64 #s(literal 1 binary64) (*.f64 z y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
z
(/ 1 (* x z))
(/.f64 (/.f64 #s(literal 1 binary64) x) z)
(* x z)
(*.f64 z x)
x

localize211.0ms (2.1%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x z)
✓accuracy99.7%
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (*.f64 x z))
✓accuracy96.6%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (/.f64 #s(literal 1 binary64) (*.f64 x z)))
✓accuracy100.0%
(*.f64 x z)
✓accuracy99.8%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) z)
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (*.f64 x z))
✓accuracy88.9%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) z) y)
✓accuracy100.0%
(*.f64 z z)
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z))))
✓accuracy91.0%
(*.f64 x (*.f64 z z))
✓accuracy89.4%
(*.f64 y (*.f64 x (*.f64 z z)))
✓accuracy100.0%
(*.f64 y x)
✓accuracy99.4%
(/.f64 #s(literal 1 binary64) (*.f64 y x))
✓accuracy99.8%
(*.f64 z (*.f64 z z))
✓accuracy95.7%
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) x)
✓accuracy91.1%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y)
✓accuracy81.5%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y))
Results
107.0ms256×0valid
Compiler

Compiled 187 to 26 computations (86.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-mult: 20.0ms (50.3% of total)
ival-div: 16.0ms (40.2% of total)
ival-sub: 3.0ms (7.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series40.0ms (0.4%)

Counts
19 → 456
Calls
Call 1
Inputs
#<alt (* (/ (/ 1 (- 1 (* z (* z (* z z))))) x) (/ (- 1 (* z z)) y))>
#<alt (/ (/ 1 (- 1 (* z (* z (* z z))))) x)>
#<alt (/ 1 (- 1 (* z (* z (* z z)))))>
#<alt (- 1 (* z (* z (* z z))))>
#<alt (/ 1 (* y x))>
#<alt (* y x)>
#<alt (/ 1 (* y (* x (* z z))))>
#<alt (* y (* x (* z z)))>
#<alt (* x (* z z))>
#<alt (* z z)>
#<alt (/ (/ (/ 1 (* x z)) z) y)>
#<alt (/ (/ 1 (* x z)) z)>
#<alt (/ 1 (* x z))>
#<alt (* x z)>
#<alt (* (/ (/ 1 y) z) (/ 1 (* x z)))>
#<alt (/ (/ 1 y) z)>
#<alt (/ 1 y)>
#<alt (/ (- 1 (* z z)) y)>
#<alt (* z (* z z))>
Outputs
#<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 (pow z 2)) (* x (* y (- 1 (pow z 4)))))>
#<alt (/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))>
#<alt (/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))>
#<alt (/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))>
#<alt (/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))>
#<alt (/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))>
#<alt (/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))>
#<alt (/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))>
#<alt (/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))>
#<alt (/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))>
#<alt (/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))>
#<alt (/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))>
#<alt (/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))>
#<alt (/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))>
#<alt (/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))>
#<alt (/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))>
#<alt (/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))>
#<alt (/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))>
#<alt (/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))>
#<alt (/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))>
#<alt (/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))>
#<alt (/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))>
#<alt (/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))>
#<alt (/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))>
#<alt (/ 1 x)>
#<alt (+ (/ 1 x) (/ (pow z 4) x))>
#<alt (+ (* (pow z 4) (+ (/ 1 x) (/ (pow z 4) x))) (/ 1 x))>
#<alt (+ (* (pow z 4) (+ (* (pow z 4) (+ (/ 1 x) (/ (pow z 4) x))) (/ 1 x))) (/ 1 x))>
#<alt (/ -1 (* x (pow z 4)))>
#<alt (* -1 (/ (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (pow z 4)))>
#<alt (/ (- (* -1 (/ (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (pow z 4))) (/ 1 x)) (pow z 4))>
#<alt (/ (- (* -1 (/ (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (pow z 8))) (+ (/ 1 x) (/ 1 (* x (pow z 4))))) (pow z 4))>
#<alt (/ -1 (* x (pow z 4)))>
#<alt (* -1 (/ (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (pow z 4)))>
#<alt (/ (- (* -1 (/ (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (pow z 4))) (/ 1 x)) (pow z 4))>
#<alt (/ (- (* -1 (/ (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (pow z 8))) (+ (/ 1 x) (/ 1 (* x (pow z 4))))) (pow z 4))>
#<alt (/ 1 (* x (- 1 (pow z 4))))>
#<alt (/ 1 (* x (- 1 (pow z 4))))>
#<alt (/ 1 (* x (- 1 (pow z 4))))>
#<alt (/ 1 (* x (- 1 (pow z 4))))>
#<alt (/ 1 (* x (- 1 (pow z 4))))>
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#<alt (/ 1 (* x (- 1 (pow z 4))))>
#<alt (/ 1 (* x (- 1 (pow z 4))))>
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#<alt (/ 1 (* x (- 1 (pow z 4))))>
#<alt (/ 1 (* x (- 1 (pow z 4))))>
#<alt (/ 1 (* x (- 1 (pow z 4))))>
#<alt 1>
#<alt (+ 1 (pow z 4))>
#<alt (+ 1 (* (pow z 4) (+ 1 (pow z 4))))>
#<alt (+ 1 (* (pow z 4) (+ 1 (* (pow z 4) (+ 1 (pow z 4))))))>
#<alt (/ -1 (pow z 4))>
#<alt (* -1 (/ (+ 1 (/ 1 (pow z 4))) (pow z 4)))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow z 4))) (pow z 4))) 1) (pow z 4))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow z 4))) (pow z 8))) (+ 1 (/ 1 (pow z 4)))) (pow z 4))>
#<alt (/ -1 (pow z 4))>
#<alt (* -1 (/ (+ 1 (/ 1 (pow z 4))) (pow z 4)))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow z 4))) (pow z 4))) 1) (pow z 4))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow z 4))) (pow z 8))) (+ 1 (/ 1 (pow z 4)))) (pow z 4))>
#<alt 1>
#<alt (+ 1 (* -1 (pow z 4)))>
#<alt (+ 1 (* -1 (pow z 4)))>
#<alt (+ 1 (* -1 (pow z 4)))>
#<alt (* -1 (pow z 4))>
#<alt (* (pow z 4) (- (/ 1 (pow z 4)) 1))>
#<alt (* (pow z 4) (- (/ 1 (pow z 4)) 1))>
#<alt (* (pow z 4) (- (/ 1 (pow z 4)) 1))>
#<alt (* -1 (pow z 4))>
#<alt (* (pow z 4) (- (/ 1 (pow z 4)) 1))>
#<alt (* (pow z 4) (- (/ 1 (pow z 4)) 1))>
#<alt (* (pow z 4) (- (/ 1 (pow z 4)) 1))>
#<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)>
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#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (/ 1 (* x (* y (pow z 2))))>
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#<alt (/ 1 (* x (* y (pow z 2))))>
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#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
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#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
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#<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 (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))))>
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#<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)))>
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#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
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#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ 1 (* x (pow z 2)))>
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#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
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#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
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#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
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#<alt (* x z)>
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#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
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#<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))))>
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#<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))))>
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#<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))))>
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#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<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 (/ 1 y)>
#<alt (+ (* -1 (/ (pow z 2) y)) (/ 1 y))>
#<alt (+ (* -1 (/ (pow z 2) y)) (/ 1 y))>
#<alt (+ (* -1 (/ (pow z 2) y)) (/ 1 y))>
#<alt (* -1 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (/ 1 (* y (pow z 2))) (/ 1 y)))>
#<alt (* (pow z 2) (- (/ 1 (* y (pow z 2))) (/ 1 y)))>
#<alt (* (pow z 2) (- (/ 1 (* y (pow z 2))) (/ 1 y)))>
#<alt (* -1 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (/ 1 (* y (pow z 2))) (/ 1 y)))>
#<alt (* (pow z 2) (- (/ 1 (* y (pow z 2))) (/ 1 y)))>
#<alt (* (pow z 2) (- (/ 1 (* y (pow z 2))) (/ 1 y)))>
#<alt (/ (- 1 (pow z 2)) y)>
#<alt (/ (- 1 (pow z 2)) y)>
#<alt (/ (- 1 (pow z 2)) y)>
#<alt (/ (- 1 (pow z 2)) y)>
#<alt (/ (- 1 (pow z 2)) y)>
#<alt (/ (- 1 (pow z 2)) y)>
#<alt (/ (- 1 (pow z 2)) y)>
#<alt (/ (- 1 (pow z 2)) y)>
#<alt (/ (- 1 (pow z 2)) y)>
#<alt (/ (- 1 (pow z 2)) y)>
#<alt (/ (- 1 (pow z 2)) y)>
#<alt (/ (- 1 (pow z 2)) y)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
Calls

114 calls:

TimeVariablePointExpression
24.0ms
y
@inf
(* y (* x (* z z)))
1.0ms
z
@inf
(/ (/ 1 (- 1 (* z (* z (* z z))))) x)
1.0ms
x
@0
(/ (/ 1 (- 1 (* z (* z (* z z))))) x)
1.0ms
x
@0
(/ 1 (* x z))
0.0ms
z
@0
(/ (/ 1 (- 1 (* z (* z (* z z))))) x)

rewrite516.0ms (5.1%)

Algorithm
1×batch-egg-rewrite
Rules
4888×*-lowering-*.f32
4888×*-lowering-*.f64
3418×/-lowering-/.f32
3418×/-lowering-/.f64
1140×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
025110
1167100
2133595
0897195
Stop Event
1×iter limit
1×node limit
Counts
19 → 1189
Calls
Call 1
Inputs
(* (/ (/ 1 (- 1 (* z (* z (* z z))))) x) (/ (- 1 (* z z)) y))
(/ (/ 1 (- 1 (* z (* z (* z z))))) x)
(/ 1 (- 1 (* z (* z (* z z)))))
(- 1 (* z (* z (* z z))))
(/ 1 (* y x))
(* y x)
(/ 1 (* y (* x (* z z))))
(* y (* x (* z z)))
(* x (* z z))
(* z z)
(/ (/ (/ 1 (* x z)) z) y)
(/ (/ 1 (* x z)) z)
(/ 1 (* x z))
(* x z)
(* (/ (/ 1 y) z) (/ 1 (* x z)))
(/ (/ 1 y) z)
(/ 1 y)
(/ (- 1 (* z z)) y)
(* z (* z z))
Outputs
(+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) x))))
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(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 z z))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64))) y)
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) y)) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 z z))))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) y)) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 z (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z z)))))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) y) (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 z z))) #s(literal 3 binary64))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 z z))) (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 z z)))) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 z z)))))))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 z z))) (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 z z))))) (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 z z)))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 z (*.f64 z (*.f64 z z))) #s(literal -1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z z)) y)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.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) y) (-.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 #s(literal 1 binary64) (*.f64 z z))))))
(/.f64 (*.f64 (+.f64 (*.f64 z z) #s(literal -1 binary64)) #s(literal -1 binary64)) y)
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 y (*.f64 z (*.f64 z y)))) (*.f64 y y))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 z (*.f64 z y)))) (*.f64 (-.f64 #s(literal 0 binary64) y) y))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) #s(literal -1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z z))))) y)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (*.f64 (/.f64 (*.f64 z z) y) (/.f64 (/.f64 (*.f64 z z) y) (/.f64 y (*.f64 z z)))))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 (/.f64 (*.f64 z z) y) (+.f64 (/.f64 (*.f64 z z) y) (/.f64 #s(literal 1 binary64) y)))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 z z))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.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 z (*.f64 z (*.f64 z z)))) y)) (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) y)) (+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z z))))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (*.f64 z (*.f64 z (*.f64 z z))) #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 z z))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 z (*.f64 z (*.f64 z z)))))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.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) y) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 z (*.f64 z (*.f64 z z)))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 z (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z z)))))))
(pow.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z z))) y))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 z z)))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 z z) #s(literal -1 binary64)) y))
(*.f64 (+.f64 (*.f64 z (*.f64 z (*.f64 z z))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z z)) y))))
(*.f64 (+.f64 (*.f64 z z) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z z))))))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z z))))) y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z z)))))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (-.f64 y (*.f64 z (*.f64 z y))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 z (*.f64 z y))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) y) y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z z))))) y))))
(*.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (*.f64 (/.f64 (*.f64 z z) y) (/.f64 (/.f64 (*.f64 z z) y) (/.f64 y (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 (/.f64 (*.f64 z z) y) (+.f64 (/.f64 (*.f64 z z) y) (/.f64 #s(literal 1 binary64) y))))))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 z z))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(*.f64 (*.f64 (-.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 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z z)))))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) y) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z z)))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(*.f64 (pow.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z z)))))))
(*.f64 (/.f64 (-.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 z (*.f64 z (*.f64 z z)))) y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) y) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.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 (*.f64 z (*.f64 z (*.f64 z z))) (+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))))) y))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.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))))) y))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 z (*.f64 z (*.f64 z z))))))) y) (/.f64 (/.f64 #s(literal 1 binary64) (+.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 #s(literal 1 binary64) (*.f64 z z))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 z (*.f64 z (*.f64 z z))))) y) (/.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 (pow.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (-.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) y) (-.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 (/.f64 #s(literal 1 binary64) y) (-.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 z (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z z)))))))
(*.f64 (*.f64 (+.f64 (*.f64 z z) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(exp.f64 (*.f64 (log.f64 z) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)) #s(literal 3/2 binary64)))
(pow.f64 z #s(literal 3 binary64))
(pow.f64 (*.f64 z z) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 z #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 z)) #s(literal 3 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))
(*.f64 z (*.f64 z z))
(*.f64 (*.f64 z z) z)
(*.f64 (*.f64 z (*.f64 z z)) #s(literal 1 binary64))
(*.f64 (*.f64 z (*.f64 z z)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (*.f64 z (*.f64 z z)))
(*.f64 (pow.f64 (*.f64 z z) #s(literal 3/4 binary64)) (pow.f64 (*.f64 z z) #s(literal 3/4 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3/2 binary64))) (pow.f64 z #s(literal 3/2 binary64)))

simplify292.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
2394×*-lowering-*.f32
2394×*-lowering-*.f64
1836×sum5-define
1728×sum3-define
1726×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01043187
12952861
28232840
324362762
467522762
082962762
Stop Event
1×iter limit
1×node limit
Counts
456 → 456
Calls
Call 1
Inputs
(/ 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))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/ 1 x)
(+ (/ 1 x) (/ (pow z 4) x))
(+ (* (pow z 4) (+ (/ 1 x) (/ (pow z 4) x))) (/ 1 x))
(+ (* (pow z 4) (+ (* (pow z 4) (+ (/ 1 x) (/ (pow z 4) x))) (/ 1 x))) (/ 1 x))
(/ -1 (* x (pow z 4)))
(* -1 (/ (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (pow z 4)))
(/ (- (* -1 (/ (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (pow z 4))) (/ 1 x)) (pow z 4))
(/ (- (* -1 (/ (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (pow z 8))) (+ (/ 1 x) (/ 1 (* x (pow z 4))))) (pow z 4))
(/ -1 (* x (pow z 4)))
(* -1 (/ (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (pow z 4)))
(/ (- (* -1 (/ (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (pow z 4))) (/ 1 x)) (pow z 4))
(/ (- (* -1 (/ (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (pow z 8))) (+ (/ 1 x) (/ 1 (* x (pow z 4))))) (pow z 4))
(/ 1 (* x (- 1 (pow z 4))))
(/ 1 (* x (- 1 (pow z 4))))
(/ 1 (* x (- 1 (pow z 4))))
(/ 1 (* x (- 1 (pow z 4))))
(/ 1 (* x (- 1 (pow z 4))))
(/ 1 (* x (- 1 (pow z 4))))
(/ 1 (* x (- 1 (pow z 4))))
(/ 1 (* x (- 1 (pow z 4))))
(/ 1 (* x (- 1 (pow z 4))))
(/ 1 (* x (- 1 (pow z 4))))
(/ 1 (* x (- 1 (pow z 4))))
(/ 1 (* x (- 1 (pow z 4))))
1
(+ 1 (pow z 4))
(+ 1 (* (pow z 4) (+ 1 (pow z 4))))
(+ 1 (* (pow z 4) (+ 1 (* (pow z 4) (+ 1 (pow z 4))))))
(/ -1 (pow z 4))
(* -1 (/ (+ 1 (/ 1 (pow z 4))) (pow z 4)))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow z 4))) (pow z 4))) 1) (pow z 4))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow z 4))) (pow z 8))) (+ 1 (/ 1 (pow z 4)))) (pow z 4))
(/ -1 (pow z 4))
(* -1 (/ (+ 1 (/ 1 (pow z 4))) (pow z 4)))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow z 4))) (pow z 4))) 1) (pow z 4))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow z 4))) (pow z 8))) (+ 1 (/ 1 (pow z 4)))) (pow z 4))
1
(+ 1 (* -1 (pow z 4)))
(+ 1 (* -1 (pow z 4)))
(+ 1 (* -1 (pow z 4)))
(* -1 (pow z 4))
(* (pow z 4) (- (/ 1 (pow z 4)) 1))
(* (pow z 4) (- (/ 1 (pow z 4)) 1))
(* (pow z 4) (- (/ 1 (pow z 4)) 1))
(* -1 (pow z 4))
(* (pow z 4) (- (/ 1 (pow z 4)) 1))
(* (pow z 4) (- (/ 1 (pow z 4)) 1))
(* (pow z 4) (- (/ 1 (pow z 4)) 1))
(/ 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))
(/ 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 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (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)
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* y z))
(/ 1 (* y z))
(/ 1 (* y z))
(/ 1 (* y z))
(/ 1 (* y z))
(/ 1 (* y z))
(/ 1 (* y z))
(/ 1 (* y z))
(/ 1 (* y z))
(/ 1 (* y z))
(/ 1 (* y z))
(/ 1 (* y z))
(/ 1 (* y z))
(/ 1 (* y z))
(/ 1 (* y z))
(/ 1 (* y z))
(/ 1 (* y z))
(/ 1 (* y z))
(/ 1 (* y z))
(/ 1 (* y z))
(/ 1 (* y z))
(/ 1 (* y z))
(/ 1 (* y z))
(/ 1 (* y z))
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(+ (* -1 (/ (pow z 2) y)) (/ 1 y))
(+ (* -1 (/ (pow z 2) y)) (/ 1 y))
(+ (* -1 (/ (pow z 2) y)) (/ 1 y))
(* -1 (/ (pow z 2) y))
(* (pow z 2) (- (/ 1 (* y (pow z 2))) (/ 1 y)))
(* (pow z 2) (- (/ 1 (* y (pow z 2))) (/ 1 y)))
(* (pow z 2) (- (/ 1 (* y (pow z 2))) (/ 1 y)))
(* -1 (/ (pow z 2) y))
(* (pow z 2) (- (/ 1 (* y (pow z 2))) (/ 1 y)))
(* (pow z 2) (- (/ 1 (* y (pow z 2))) (/ 1 y)))
(* (pow z 2) (- (/ 1 (* y (pow z 2))) (/ 1 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)) y)
(/ (- 1 (pow z 2)) y)
(/ (- 1 (pow z 2)) y)
(/ (- 1 (pow z 2)) y)
(/ (- 1 (pow z 2)) y)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
Outputs
(/ 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 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 x y)) (+.f64 #s(literal -1 binary64) (*.f64 z z))))
(+ (* (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 (*.f64 z z) (*.f64 z z))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 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) (*.f64 z z)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (*.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) (*.f64 z z)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (*.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 #s(literal -1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))) (-.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (*.f64 z z)) (/.f64 (/.f64 #s(literal 1 binary64) x) 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)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (*.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) (*.f64 z z)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (*.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 #s(literal -1 binary64) (*.f64 x (*.f64 y (pow.f64 z #s(literal 6 binary64))))) (-.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (*.f64 z z)) (/.f64 (/.f64 #s(literal 1 binary64) x) y))) (*.f64 z z))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 x y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z z))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 x y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z z))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 x y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z z))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 x y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z z))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 x y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z z))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 x y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z z))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 x y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z z))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 x y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z z))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 x y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z z))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 x y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z z))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 x y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z z))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 x y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z z))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 x y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z z))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 x y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z z))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 x y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z z))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 x y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z z))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 x y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z z))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 x y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z z))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 x y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z z))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 x y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z z))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 x y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z z))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 x y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z z))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 x y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z z))))
(/ (- 1 (pow z 2)) (* x (* y (- 1 (pow z 4)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 x y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z z))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (/ 1 x) (/ (pow z 4) x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z z))) x)
(+ (* (pow z 4) (+ (/ 1 x) (/ (pow z 4) x))) (/ 1 x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z z))))))
(+ (* (pow z 4) (+ (* (pow z 4) (+ (/ 1 x) (/ (pow z 4) x))) (/ 1 x))) (/ 1 x))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 z z))) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (*.f64 z z) (*.f64 z z)))))
(/ -1 (* x (pow z 4)))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (*.f64 z z) (*.f64 z z))))
(* -1 (/ (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (pow z 4)))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 z z) (*.f64 z z)))) (*.f64 (*.f64 z z) (*.f64 z z)))
(/ (- (* -1 (/ (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (pow z 4))) (/ 1 x)) (pow z 4))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 z z) (*.f64 z z)))) (*.f64 (*.f64 z z) (*.f64 z z)))) (*.f64 (*.f64 z z) (*.f64 z z)))
(/ (- (* -1 (/ (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (pow z 8))) (+ (/ 1 x) (/ 1 (* x (pow z 4))))) (pow z 4))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 z z) (*.f64 z z)))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (*.f64 z z) (*.f64 z z)))) #s(literal -1 binary64))) (*.f64 (*.f64 z z) (*.f64 z z)))
(/ -1 (* x (pow z 4)))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (*.f64 z z) (*.f64 z z))))
(* -1 (/ (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (pow z 4)))
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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))))
(/ 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))))
(/.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))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 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)
(/ 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)
(/ 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)
(/ 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 z))
(/.f64 #s(literal 1 binary64) (*.f64 x z))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (*.f64 x z))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (*.f64 x z))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (*.f64 x z))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (*.f64 x z))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (*.f64 x z))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (*.f64 x z))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (*.f64 x z))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (*.f64 x z))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (*.f64 x z))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (*.f64 x z))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (*.f64 x z))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (*.f64 x z))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (*.f64 x z))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (*.f64 x z))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (*.f64 x z))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (*.f64 x z))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (*.f64 x z))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (*.f64 x z))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (*.f64 x z))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (*.f64 x z))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (*.f64 x z))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (*.f64 x z))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (*.f64 x z))
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x 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))))
(/.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))))
(/.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))))
(/.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))))
(/.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))))
(/.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))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* y z))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(/ 1 (* y z))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(/ 1 (* y z))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(/ 1 (* y z))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(/ 1 (* y z))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(/ 1 (* y z))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(/ 1 (* y z))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(/ 1 (* y z))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(/ 1 (* y z))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(/ 1 (* y z))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(/ 1 (* y z))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(/ 1 (* y z))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(/ 1 (* y z))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(/ 1 (* y z))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(/ 1 (* y z))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(/ 1 (* y z))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(/ 1 (* y z))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(/ 1 (* y z))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(/ 1 (* y z))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(/ 1 (* y z))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(/ 1 (* y z))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(/ 1 (* y z))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(/ 1 (* y z))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(/ 1 (* y z))
(/.f64 (/.f64 #s(literal 1 binary64) y) 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)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -1 (/ (pow z 2) y)) (/ 1 y))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y)
(+ (* -1 (/ (pow z 2) y)) (/ 1 y))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y)
(+ (* -1 (/ (pow z 2) y)) (/ 1 y))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y)
(* -1 (/ (pow z 2) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z z) y))
(* (pow z 2) (- (/ 1 (* y (pow z 2))) (/ 1 y)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y)
(* (pow z 2) (- (/ 1 (* y (pow z 2))) (/ 1 y)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y)
(* (pow z 2) (- (/ 1 (* y (pow z 2))) (/ 1 y)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y)
(* -1 (/ (pow z 2) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z z) y))
(* (pow z 2) (- (/ 1 (* y (pow z 2))) (/ 1 y)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y)
(* (pow z 2) (- (/ 1 (* y (pow z 2))) (/ 1 y)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y)
(* (pow z 2) (- (/ 1 (* y (pow z 2))) (/ 1 y)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y)
(/ (- 1 (pow z 2)) y)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y)
(/ (- 1 (pow z 2)) y)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y)
(/ (- 1 (pow z 2)) y)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y)
(/ (- 1 (pow z 2)) y)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y)
(/ (- 1 (pow z 2)) y)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y)
(/ (- 1 (pow z 2)) y)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y)
(/ (- 1 (pow z 2)) y)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y)
(/ (- 1 (pow z 2)) y)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y)
(/ (- 1 (pow z 2)) y)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y)
(/ (- 1 (pow z 2)) y)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y)
(/ (- 1 (pow z 2)) y)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y)
(/ (- 1 (pow z 2)) y)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y)
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))
(pow z 3)
(*.f64 z (*.f64 z z))

eval217.0ms (2.1%)

Compiler

Compiled 32587 to 2772 computations (91.5% saved)

prune153.0ms (1.5%)

Pruning

15 alts after pruning (10 fresh and 5 done)

PrunedKeptTotal
New178761793
Fresh549
Picked325
Done134
Total1796151811
Accuracy
100.0%
Counts
1811 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.0%
(pow.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
▶57.5%
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) z) y)
✓89.6%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z z))) y) x)
53.2%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) x)
▶56.9%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (*.f64 z x))
56.9%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) (*.f64 z y))
✓53.1%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z z))) y)
▶60.3%
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
✓60.3%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
33.1%
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 y x)) (*.f64 (*.f64 y x) (/.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))))) (*.f64 (*.f64 y x) (*.f64 y x)))
✓52.9%
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z))))
✓60.1%
(/.f64 #s(literal 1 binary64) (*.f64 y x))
▶18.2%
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) (*.f64 z z))) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y))
▶60.2%
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
60.2%
(neg.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z x)) y) z))
Compiler

Compiled 364 to 217 computations (40.4% saved)

simplify168.0ms (1.7%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (*.f64 z z) (*.f64 z z))
✓cost-diff0
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) (*.f64 z z)))
✓cost-diff0
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) (*.f64 z z))) x)
✓cost-diff256
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) (*.f64 z z))) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y))
✓cost-diff0
(/.f64 #s(literal 1 binary64) z)
✓cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) z) x)
✓cost-diff0
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) z)
✓cost-diff0
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) z) y)
✓cost-diff0
(*.f64 z x)
✓cost-diff0
(*.f64 z y)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 z y))
✓cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (*.f64 z x))
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff0
(/.f64 #s(literal 1 binary64) y)
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) 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)
Rules
3226×*-lowering-*.f32
3226×*-lowering-*.f64
1622×fma-lowering-fma.f32
1622×fma-lowering-fma.f64
1314×/-lowering-/.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
024112
171112
2164108
3480108
41806107
54083107
08641107
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (/ 1 y) x)
(/ 1 y)
1
y
x
(* (/ 1 y) (/ 1 x))
(/ 1 y)
1
y
(/ 1 x)
x
(/ (/ 1 (* z y)) (* z x))
(/ 1 (* z y))
1
(* z y)
z
y
(* z x)
x
(/ (/ (/ (/ 1 z) x) z) y)
(/ (/ (/ 1 z) x) z)
(/ (/ 1 z) x)
(/ 1 z)
1
z
x
y
(* (/ (/ -1 (* (* z z) (* z z))) x) (/ (- 1 (* z z)) y))
(/ (/ -1 (* (* z z) (* z z))) x)
(/ -1 (* (* z z) (* z z)))
-1
(* (* z z) (* z z))
(* z z)
z
x
(/ (- 1 (* z z)) y)
(- 1 (* z z))
1
y
Outputs
(/ (/ 1 y) x)
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 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 y x))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
x
(/ (/ 1 (* z y)) (* z x))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z))))
(/ 1 (* z y))
(/.f64 #s(literal 1 binary64) (*.f64 y z))
1
#s(literal 1 binary64)
(* z y)
(*.f64 y z)
z
y
(* z x)
(*.f64 x z)
x
(/ (/ (/ (/ 1 z) x) z) y)
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z))))
(/ (/ (/ 1 z) x) z)
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z z)))
(/ (/ 1 z) x)
(/.f64 #s(literal 1 binary64) (*.f64 x z))
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
1
#s(literal 1 binary64)
z
x
y
(* (/ (/ -1 (* (* z z) (* z z))) x) (/ (- 1 (* z z)) y))
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z))) z) z) x) y)
(/ (/ -1 (* (* z z) (* z z))) x)
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) z) z) x)
(/ -1 (* (* z z) (* z z)))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) z) z)
-1
#s(literal -1 binary64)
(* (* z z) (* z z))
(*.f64 z (*.f64 z (*.f64 z z)))
(* z z)
(*.f64 z z)
z
x
(/ (- 1 (* z z)) y)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y)
(- 1 (* z z))
(-.f64 #s(literal 1 binary64) (*.f64 z z))
1
#s(literal 1 binary64)
y

localize207.0ms (2.1%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(*.f64 (*.f64 z z) (*.f64 z z))
✓accuracy93.8%
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) (*.f64 z z))) x)
✓accuracy91.1%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y)
✓accuracy79.0%
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) (*.f64 z z))) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) z)
✓accuracy99.8%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) z)
✓accuracy99.7%
(/.f64 (/.f64 #s(literal 1 binary64) z) x)
✓accuracy88.9%
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) z) y)
✓accuracy100.0%
(*.f64 z y)
✓accuracy100.0%
(*.f64 z x)
✓accuracy99.2%
(/.f64 #s(literal 1 binary64) (*.f64 z y))
✓accuracy96.6%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (*.f64 z x))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
✓accuracy99.6%
(*.f64 (/.f64 #s(literal 1 binary64) 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)
Results
172.0ms256×0valid
Compiler

Compiled 149 to 25 computations (83.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-mult: 28.0ms (57.2% of total)
ival-div: 19.0ms (38.8% of total)
ival-sub: 1.0ms (2% of total)
const: 1.0ms (2% of total)
backward-pass: 0.0ms (0% of total)

series17.0ms (0.2%)

Counts
17 → 384
Calls
Call 1
Inputs
#<alt (/ (/ 1 y) x)>
#<alt (/ 1 y)>
#<alt (* (/ 1 y) (/ 1 x))>
#<alt (/ 1 x)>
#<alt (/ (/ 1 (* z y)) (* z x))>
#<alt (/ 1 (* z y))>
#<alt (* z y)>
#<alt (* z x)>
#<alt (/ (/ (/ (/ 1 z) x) z) y)>
#<alt (/ (/ (/ 1 z) x) z)>
#<alt (/ (/ 1 z) x)>
#<alt (/ 1 z)>
#<alt (* (/ (/ -1 (* (* z z) (* z z))) x) (/ (- 1 (* z z)) y))>
#<alt (/ (/ -1 (* (* z z) (* z z))) x)>
#<alt (/ -1 (* (* z z) (* z z)))>
#<alt (* (* z z) (* z z))>
#<alt (/ (- 1 (* z z)) y)>
Outputs
#<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 (/ 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 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* x 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 (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 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 (/ -1 (* x (* y (pow z 4))))>
#<alt (/ (- (/ (pow z 2) (* x y)) (/ 1 (* x y))) (pow z 4))>
#<alt (/ (- (/ (pow z 2) (* x y)) (/ 1 (* x y))) (pow z 4))>
#<alt (/ (- (/ (pow z 2) (* x y)) (/ 1 (* x y))) (pow z 4))>
#<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 2))))) (pow z 2))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (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 2))))) (pow z 2))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (* -1 (/ (- 1 (pow z 2)) (* x (* y (pow z 4)))))>
#<alt (* -1 (/ (- 1 (pow z 2)) (* x (* y (pow z 4)))))>
#<alt (* -1 (/ (- 1 (pow z 2)) (* x (* y (pow z 4)))))>
#<alt (* -1 (/ (- 1 (pow z 2)) (* x (* y (pow z 4)))))>
#<alt (* -1 (/ (- 1 (pow z 2)) (* x (* y (pow z 4)))))>
#<alt (* -1 (/ (- 1 (pow z 2)) (* x (* y (pow z 4)))))>
#<alt (* -1 (/ (- 1 (pow z 2)) (* x (* y (pow z 4)))))>
#<alt (* -1 (/ (- 1 (pow z 2)) (* x (* y (pow z 4)))))>
#<alt (* -1 (/ (- 1 (pow z 2)) (* x (* y (pow z 4)))))>
#<alt (* -1 (/ (- 1 (pow z 2)) (* x (* y (pow z 4)))))>
#<alt (* -1 (/ (- 1 (pow z 2)) (* x (* y (pow z 4)))))>
#<alt (* -1 (/ (- 1 (pow z 2)) (* x (* y (pow z 4)))))>
#<alt (* -1 (/ (- 1 (pow z 2)) (* x (* y (pow z 4)))))>
#<alt (* -1 (/ (- 1 (pow z 2)) (* x (* y (pow z 4)))))>
#<alt (* -1 (/ (- 1 (pow z 2)) (* x (* y (pow z 4)))))>
#<alt (* -1 (/ (- 1 (pow z 2)) (* x (* y (pow z 4)))))>
#<alt (* -1 (/ (- 1 (pow z 2)) (* x (* y (pow z 4)))))>
#<alt (* -1 (/ (- 1 (pow z 2)) (* x (* y (pow z 4)))))>
#<alt (* -1 (/ (- 1 (pow z 2)) (* x (* y (pow z 4)))))>
#<alt (* -1 (/ (- 1 (pow z 2)) (* x (* y (pow z 4)))))>
#<alt (* -1 (/ (- 1 (pow z 2)) (* x (* y (pow z 4)))))>
#<alt (* -1 (/ (- 1 (pow z 2)) (* x (* y (pow z 4)))))>
#<alt (* -1 (/ (- 1 (pow z 2)) (* x (* y (pow z 4)))))>
#<alt (* -1 (/ (- 1 (pow z 2)) (* x (* y (pow z 4)))))>
#<alt (/ -1 (* x (pow z 4)))>
#<alt (/ -1 (* x (pow z 4)))>
#<alt (/ -1 (* x (pow z 4)))>
#<alt (/ -1 (* x (pow z 4)))>
#<alt (/ -1 (* x (pow z 4)))>
#<alt (/ -1 (* x (pow z 4)))>
#<alt (/ -1 (* x (pow z 4)))>
#<alt (/ -1 (* x (pow z 4)))>
#<alt (/ -1 (* x (pow z 4)))>
#<alt (/ -1 (* x (pow z 4)))>
#<alt (/ -1 (* x (pow z 4)))>
#<alt (/ -1 (* x (pow z 4)))>
#<alt (/ -1 (* x (pow z 4)))>
#<alt (/ -1 (* x (pow z 4)))>
#<alt (/ -1 (* x (pow z 4)))>
#<alt (/ -1 (* x (pow z 4)))>
#<alt (/ -1 (* x (pow z 4)))>
#<alt (/ -1 (* x (pow z 4)))>
#<alt (/ -1 (* x (pow z 4)))>
#<alt (/ -1 (* x (pow z 4)))>
#<alt (/ -1 (* x (pow z 4)))>
#<alt (/ -1 (* x (pow z 4)))>
#<alt (/ -1 (* x (pow z 4)))>
#<alt (/ -1 (* x (pow z 4)))>
#<alt (/ -1 (pow z 4))>
#<alt (/ -1 (pow z 4))>
#<alt (/ -1 (pow z 4))>
#<alt (/ -1 (pow z 4))>
#<alt (/ -1 (pow z 4))>
#<alt (/ -1 (pow z 4))>
#<alt (/ -1 (pow z 4))>
#<alt (/ -1 (pow z 4))>
#<alt (/ -1 (pow z 4))>
#<alt (/ -1 (pow z 4))>
#<alt (/ -1 (pow z 4))>
#<alt (/ -1 (pow z 4))>
#<alt (pow z 4)>
#<alt (pow z 4)>
#<alt (pow z 4)>
#<alt (pow z 4)>
#<alt (pow z 4)>
#<alt (pow z 4)>
#<alt (pow z 4)>
#<alt (pow z 4)>
#<alt (pow z 4)>
#<alt (pow z 4)>
#<alt (pow z 4)>
#<alt (pow z 4)>
#<alt (/ 1 y)>
#<alt (+ (* -1 (/ (pow z 2) y)) (/ 1 y))>
#<alt (+ (* -1 (/ (pow z 2) y)) (/ 1 y))>
#<alt (+ (* -1 (/ (pow z 2) y)) (/ 1 y))>
#<alt (* -1 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (/ 1 (* y (pow z 2))) (/ 1 y)))>
#<alt (* (pow z 2) (- (/ 1 (* y (pow z 2))) (/ 1 y)))>
#<alt (* (pow z 2) (- (/ 1 (* y (pow z 2))) (/ 1 y)))>
#<alt (* -1 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (/ 1 (* y (pow z 2))) (/ 1 y)))>
#<alt (* (pow z 2) (- (/ 1 (* y (pow z 2))) (/ 1 y)))>
#<alt (* (pow z 2) (- (/ 1 (* y (pow z 2))) (/ 1 y)))>
#<alt (/ (- 1 (pow z 2)) y)>
#<alt (/ (- 1 (pow z 2)) y)>
#<alt (/ (- 1 (pow z 2)) y)>
#<alt (/ (- 1 (pow z 2)) y)>
#<alt (/ (- 1 (pow z 2)) y)>
#<alt (/ (- 1 (pow z 2)) y)>
#<alt (/ (- 1 (pow z 2)) y)>
#<alt (/ (- 1 (pow z 2)) y)>
#<alt (/ (- 1 (pow z 2)) y)>
#<alt (/ (- 1 (pow z 2)) y)>
#<alt (/ (- 1 (pow z 2)) y)>
#<alt (/ (- 1 (pow z 2)) y)>
Calls

96 calls:

TimeVariablePointExpression
4.0ms
z
@0
(/ (/ -1 (* (* z z) (* z z))) x)
1.0ms
x
@0
(* (/ (/ -1 (* (* z z) (* z z))) x) (/ (- 1 (* z z)) y))
1.0ms
y
@0
(* (/ (/ -1 (* (* z z) (* z z))) x) (/ (- 1 (* z z)) y))
1.0ms
z
@0
(* (/ (/ -1 (* (* z z) (* z z))) x) (/ (- 1 (* z z)) y))
1.0ms
z
@inf
(* (/ (/ -1 (* (* z z) (* z z))) x) (/ (- 1 (* z z)) y))

rewrite297.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
4838×*-lowering-*.f32
4838×*-lowering-*.f64
3744×/-lowering-/.f32
3744×/-lowering-/.f64
1288×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02485
115684
2129178
0852078
Stop Event
1×iter limit
1×node limit
Counts
17 → 1042
Calls
Call 1
Inputs
(/ (/ 1 y) x)
(/ 1 y)
(* (/ 1 y) (/ 1 x))
(/ 1 x)
(/ (/ 1 (* z y)) (* z x))
(/ 1 (* z y))
(* z y)
(* z x)
(/ (/ (/ (/ 1 z) x) z) y)
(/ (/ (/ 1 z) x) z)
(/ (/ 1 z) x)
(/ 1 z)
(* (/ (/ -1 (* (* z z) (* z z))) x) (/ (- 1 (* z z)) y))
(/ (/ -1 (* (* z z) (* z z))) x)
(/ -1 (* (* z z) (* z z)))
(* (* z z) (* z z))
(/ (- 1 (* z z)) y)
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal -1 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)) (*.f64 (log.f64 x) #s(literal -1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)) (*.f64 (log.f64 y) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y x)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 y x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) y)))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
(/.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) y)
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) x)
(pow.f64 (*.f64 y x) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y x)))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) y))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) #s(literal -1 binary64))
(*.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 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64))
(*.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) y))
(neg.f64 (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) y))
(pow.f64 y #s(literal -1 binary64))
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal -1 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)) (*.f64 (log.f64 x) #s(literal -1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)) (*.f64 (log.f64 y) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y x)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 y x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) y)))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
(/.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) y)
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) x)
(pow.f64 (*.f64 y x) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y x)))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) y))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) #s(literal -1 binary64))
(*.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 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64))
(*.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))
(pow.f64 x #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 z (*.f64 y (*.f64 x z)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (*.f64 y (*.f64 x z)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) z))) (/.f64 #s(literal -1 binary64) (*.f64 z (*.f64 y (*.f64 x z)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal -1 binary64) (*.f64 z (*.f64 y (*.f64 x z)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y (/.f64 x (/.f64 #s(literal -1 binary64) z)))) (/.f64 #s(literal -1 binary64) (*.f64 z (*.f64 y (*.f64 x z)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y (-.f64 #s(literal 0 binary64) z))) (/.f64 #s(literal -1 binary64) (*.f64 z (*.f64 y (*.f64 x z)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 z (*.f64 y (*.f64 x z)))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x (*.f64 z z))))
(neg.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x z)) y) z))
(/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y (*.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x z)) y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (*.f64 z z)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 z z)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 x z))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y (*.f64 x z)))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y (*.f64 x z)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (*.f64 y z))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z z)) y)
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (/.f64 z (/.f64 #s(literal -1 binary64) z)) y)))
(/.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 y (/.f64 x (/.f64 #s(literal -1 binary64) z))))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y (-.f64 #s(literal 0 binary64) z)))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y z)) (/.f64 x (/.f64 #s(literal -1 binary64) z)))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 x z)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) z) x)
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x z))) z)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) z) (*.f64 y x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 z (/.f64 #s(literal -1 binary64) z)) y))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x z)) y) (-.f64 #s(literal 0 binary64) z))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y z)) z) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y z)) x) (-.f64 #s(literal 0 binary64) z))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x z)) #s(literal -1 binary64)) (*.f64 y z))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) y) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (/.f64 #s(literal -1 binary64) z))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x (/.f64 #s(literal -1 binary64) z)))) (-.f64 #s(literal 0 binary64) z))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y z)) #s(literal -1 binary64)) (*.f64 x z))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 x z)) #s(literal -1 binary64)) y)
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y z)) z) #s(literal -1 binary64)) x)
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x z)) y) #s(literal -1 binary64)) z)
(pow.f64 (*.f64 z (*.f64 y (*.f64 x z))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y (*.f64 x z)))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z z)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 #s(literal 1 binary64) z) z))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) z))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (/.f64 #s(literal 1 binary64) x) z))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y (*.f64 x z)))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x z))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (/.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z z)) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (*.f64 y (*.f64 x z)))))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x (*.f64 z z))))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y z)) x))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x z)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (-.f64 #s(literal 0 binary64) x)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x (/.f64 #s(literal -1 binary64) z)))))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 y z)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y z))))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (-.f64 #s(literal 0 binary64) z))))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 x z)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x z)) (/.f64 #s(literal -1 binary64) (*.f64 y z)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y z)) (/.f64 #s(literal -1 binary64) (*.f64 x z)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 x z)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) z) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (*.f64 y x)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) z) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
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(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 z z))))
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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 z (*.f64 z (*.f64 z z))))) (-.f64 #s(literal 1 binary64) (*.f64 z z)))
(*.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 z (*.f64 z (*.f64 z z)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (+.f64 #s(literal -1 binary64) (*.f64 z z)))))

simplify238.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
2530×*-lowering-*.f32
2530×*-lowering-*.f64
1788×fnmsub-define
1650×fma-lowering-fma.f32
1650×fma-lowering-fma.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0442346
11092144
22722090
37612063
423292057
564982057
084832057
Stop Event
1×iter limit
1×node limit
Counts
384 → 384
Calls
Call 1
Inputs
(/ 1 (* x y))
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(* x z)
(* x z)
(* x z)
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x (pow z 2)))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ -1 (* x (* y (pow z 4))))
(/ (- (/ (pow z 2) (* x y)) (/ 1 (* x y))) (pow z 4))
(/ (- (/ (pow z 2) (* x y)) (/ 1 (* x y))) (pow z 4))
(/ (- (/ (pow z 2) (* x y)) (/ 1 (* x y))) (pow z 4))
(/ 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 2))))) (pow z 2))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (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 2))))) (pow z 2))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(* -1 (/ (- 1 (pow z 2)) (* x (* y (pow z 4)))))
(* -1 (/ (- 1 (pow z 2)) (* x (* y (pow z 4)))))
(* -1 (/ (- 1 (pow z 2)) (* x (* y (pow z 4)))))
(* -1 (/ (- 1 (pow z 2)) (* x (* y (pow z 4)))))
(* -1 (/ (- 1 (pow z 2)) (* x (* y (pow z 4)))))
(* -1 (/ (- 1 (pow z 2)) (* x (* y (pow z 4)))))
(* -1 (/ (- 1 (pow z 2)) (* x (* y (pow z 4)))))
(* -1 (/ (- 1 (pow z 2)) (* x (* y (pow z 4)))))
(* -1 (/ (- 1 (pow z 2)) (* x (* y (pow z 4)))))
(* -1 (/ (- 1 (pow z 2)) (* x (* y (pow z 4)))))
(* -1 (/ (- 1 (pow z 2)) (* x (* y (pow z 4)))))
(* -1 (/ (- 1 (pow z 2)) (* x (* y (pow z 4)))))
(* -1 (/ (- 1 (pow z 2)) (* x (* y (pow z 4)))))
(* -1 (/ (- 1 (pow z 2)) (* x (* y (pow z 4)))))
(* -1 (/ (- 1 (pow z 2)) (* x (* y (pow z 4)))))
(* -1 (/ (- 1 (pow z 2)) (* x (* y (pow z 4)))))
(* -1 (/ (- 1 (pow z 2)) (* x (* y (pow z 4)))))
(* -1 (/ (- 1 (pow z 2)) (* x (* y (pow z 4)))))
(* -1 (/ (- 1 (pow z 2)) (* x (* y (pow z 4)))))
(* -1 (/ (- 1 (pow z 2)) (* x (* y (pow z 4)))))
(* -1 (/ (- 1 (pow z 2)) (* x (* y (pow z 4)))))
(* -1 (/ (- 1 (pow z 2)) (* x (* y (pow z 4)))))
(* -1 (/ (- 1 (pow z 2)) (* x (* y (pow z 4)))))
(* -1 (/ (- 1 (pow z 2)) (* x (* y (pow z 4)))))
(/ -1 (* x (pow z 4)))
(/ -1 (* x (pow z 4)))
(/ -1 (* x (pow z 4)))
(/ -1 (* x (pow z 4)))
(/ -1 (* x (pow z 4)))
(/ -1 (* x (pow z 4)))
(/ -1 (* x (pow z 4)))
(/ -1 (* x (pow z 4)))
(/ -1 (* x (pow z 4)))
(/ -1 (* x (pow z 4)))
(/ -1 (* x (pow z 4)))
(/ -1 (* x (pow z 4)))
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(/ -1 (* x (pow z 4)))
(/ -1 (* x (pow z 4)))
(/ -1 (* x (pow z 4)))
(/ -1 (* x (pow z 4)))
(/ -1 (* x (pow z 4)))
(/ -1 (* x (pow z 4)))
(/ -1 (* x (pow z 4)))
(/ -1 (* x (pow z 4)))
(/ -1 (* x (pow z 4)))
(/ -1 (* x (pow z 4)))
(/ -1 (* x (pow z 4)))
(/ -1 (pow z 4))
(/ -1 (pow z 4))
(/ -1 (pow z 4))
(/ -1 (pow z 4))
(/ -1 (pow z 4))
(/ -1 (pow z 4))
(/ -1 (pow z 4))
(/ -1 (pow z 4))
(/ -1 (pow z 4))
(/ -1 (pow z 4))
(/ -1 (pow z 4))
(/ -1 (pow z 4))
(pow z 4)
(pow z 4)
(pow z 4)
(pow z 4)
(pow z 4)
(pow z 4)
(pow z 4)
(pow z 4)
(pow z 4)
(pow z 4)
(pow z 4)
(pow z 4)
(/ 1 y)
(+ (* -1 (/ (pow z 2) y)) (/ 1 y))
(+ (* -1 (/ (pow z 2) y)) (/ 1 y))
(+ (* -1 (/ (pow z 2) y)) (/ 1 y))
(* -1 (/ (pow z 2) y))
(* (pow z 2) (- (/ 1 (* y (pow z 2))) (/ 1 y)))
(* (pow z 2) (- (/ 1 (* y (pow z 2))) (/ 1 y)))
(* (pow z 2) (- (/ 1 (* y (pow z 2))) (/ 1 y)))
(* -1 (/ (pow z 2) y))
(* (pow z 2) (- (/ 1 (* y (pow z 2))) (/ 1 y)))
(* (pow z 2) (- (/ 1 (* y (pow z 2))) (/ 1 y)))
(* (pow z 2) (- (/ 1 (* y (pow z 2))) (/ 1 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)) y)
(/ (- 1 (pow z 2)) y)
(/ (- 1 (pow z 2)) y)
(/ (- 1 (pow z 2)) y)
(/ (- 1 (pow z 2)) y)
Outputs
(/ 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))
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(/ 1 (* x y))
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(/ 1 (* x y))
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(/ 1 (* x y))
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(/ 1 (* x y))
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(/ 1 (* x y))
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(/ 1 (* x y))
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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 z (*.f64 y (*.f64 x z))))
(/ 1 (* x (* y (pow z 2))))
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(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y (*.f64 x z))))
(/ 1 (* x (* y (pow z 2))))
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(/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y (*.f64 x z))))
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(/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y (*.f64 x z))))
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(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
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(/ 1 (* x (* y (pow z 2))))
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(*.f64 z (-.f64 #s(literal 0 binary64) (/.f64 z y)))
(* (pow z 2) (- (/ 1 (* y (pow z 2))) (/ 1 y)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y)
(* (pow z 2) (- (/ 1 (* y (pow z 2))) (/ 1 y)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y)
(* (pow z 2) (- (/ 1 (* y (pow z 2))) (/ 1 y)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y)
(/ (- 1 (pow z 2)) y)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y)
(/ (- 1 (pow z 2)) y)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y)
(/ (- 1 (pow z 2)) y)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y)
(/ (- 1 (pow z 2)) y)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y)
(/ (- 1 (pow z 2)) y)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y)
(/ (- 1 (pow z 2)) y)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y)
(/ (- 1 (pow z 2)) y)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y)
(/ (- 1 (pow z 2)) y)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y)
(/ (- 1 (pow z 2)) y)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y)
(/ (- 1 (pow z 2)) y)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y)
(/ (- 1 (pow z 2)) y)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y)
(/ (- 1 (pow z 2)) y)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y)

eval209.0ms (2.1%)

Compiler

Compiled 23838 to 2234 computations (90.6% saved)

prune165.0ms (1.6%)

Pruning

12 alts after pruning (4 fresh and 8 done)

PrunedKeptTotal
New145411455
Fresh235
Picked235
Done055
Total1458121470
Accuracy
100.0%
Counts
1470 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.0%
(pow.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
✓89.6%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z z))) y) x)
53.2%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) x)
✓56.9%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (*.f64 z x))
60.2%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x z))) z)
✓53.1%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z z))) y)
✓60.3%
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
✓60.3%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
33.1%
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 y x)) (*.f64 (*.f64 y x) (/.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))))) (*.f64 (*.f64 y x) (*.f64 y x)))
✓52.9%
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z))))
✓60.1%
(/.f64 #s(literal 1 binary64) (*.f64 y x))
✓60.2%
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
Compiler

Compiled 563 to 209 computations (62.9% saved)

regimes91.0ms (0.9%)

Counts
34 → 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 y (*.f64 x (*.f64 z z))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 z z)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z z))) y)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x z))) z)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) (*.f64 z y))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (*.f64 z x))
(/.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) (*.f64 x z)) z) y)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) y) x)
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) z) y)
(neg.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z x)) y) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x z)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) z) (/.f64 (/.f64 #s(literal -1 binary64) y) z))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (/.f64 #s(literal 1 binary64) (*.f64 x z)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 #s(literal -1 binary64) x) z)) y)
(/.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) (+.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 x y))
(/.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 #s(literal -1 binary64) (*.f64 z z))) (/.f64 #s(literal -1 binary64) y)) x)
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) (*.f64 z z))) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y))
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) y) x)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (*.f64 y x)) (*.f64 (*.f64 y x) (/.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))))) (*.f64 (*.f64 y x) (*.f64 y x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)))
(*.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 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)))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x z))) z)
Calls

8 calls:

17.0ms
y
16.0ms
(/.f64 #s(literal 1 binary64) x)
10.0ms
x
10.0ms
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
10.0ms
z
Results
AccuracySegmentsBranch
93.2%1x
96.3%2y
99.7%2z
97.8%2(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
93.2%1(/.f64 #s(literal 1 binary64) x)
99.7%2(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
99.7%2(+.f64 #s(literal 1 binary64) (*.f64 z z))
99.7%2(*.f64 z z)
Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes27.0ms (0.3%)

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 y (*.f64 x (*.f64 z z))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 z z)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z z))) y)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x z))) z)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) (*.f64 z y))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (*.f64 z x))
(/.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) (*.f64 x z)) z) y)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) y) x)
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) z) y)
(neg.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z x)) y) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x z)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) z) (/.f64 (/.f64 #s(literal -1 binary64) y) z))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (/.f64 #s(literal 1 binary64) (*.f64 x z)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 #s(literal -1 binary64) x) z)) y)
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x 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)))
(neg.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z x)) y) z))
Calls

2 calls:

19.0ms
(*.f64 z z)
6.0ms
z
Results
AccuracySegmentsBranch
98.5%2z
98.5%2(*.f64 z z)
Compiler

Compiled 10 to 7 computations (30% saved)

regimes15.0ms (0.1%)

Counts
20 → 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 y (*.f64 x (*.f64 z z))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 z z)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z z))) y)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x z))) z)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) (*.f64 z y))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (*.f64 z x))
(/.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) (*.f64 x z)) z) y)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) y) x)
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) z) y)
(neg.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z x)) y) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x z)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) z) (/.f64 (/.f64 #s(literal -1 binary64) y) z))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (/.f64 #s(literal 1 binary64) (*.f64 x z)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 #s(literal -1 binary64) x) z)) y)
Outputs
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) x)
(neg.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z x)) y) z))
Calls

2 calls:

8.0ms
z
6.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
98.2%2z
98.2%2(*.f64 z z)
Compiler

Compiled 10 to 7 computations (30% saved)

regimes11.0ms (0.1%)

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

2 calls:

5.0ms
z
4.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
98.2%2z
98.2%2(*.f64 z z)
Compiler

Compiled 10 to 7 computations (30% saved)

regimes10.0ms (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 y (*.f64 x (*.f64 z z))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 z z)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z z))) y)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x z))) z)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) (*.f64 z y))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (*.f64 z x))
(/.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 y (*.f64 x z))) z)
Calls

2 calls:

5.0ms
z
4.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
98.0%2z
98.0%2(*.f64 z z)
Compiler

Compiled 10 to 7 computations (30% saved)

regimes15.0ms (0.1%)

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 y (*.f64 x (*.f64 z z))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (*.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) (*.f64 x (*.f64 z z))) y)
Calls

5 calls:

3.0ms
z
3.0ms
(/.f64 #s(literal 1 binary64) x)
3.0ms
x
3.0ms
y
3.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
64.0%2(/.f64 #s(literal 1 binary64) x)
64.0%2x
63.7%2y
93.2%2z
93.2%2(*.f64 z z)
Compiler

Compiled 24 to 18 computations (25% saved)

regimes7.0ms (0.1%)

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

2 calls:

4.0ms
(*.f64 z z)
3.0ms
z
Results
AccuracySegmentsBranch
93.0%2z
93.0%2(*.f64 z z)
Compiler

Compiled 10 to 7 computations (30% saved)

regimes9.0ms (0.1%)

Counts
4 → 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))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
Calls

4 calls:

2.0ms
z
2.0ms
(/.f64 #s(literal 1 binary64) x)
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
60.3%1y
60.3%1x
60.3%1(/.f64 #s(literal 1 binary64) x)
60.3%1z
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes5.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

2.0ms
y
1.0ms
z
1.0ms
x
Results
AccuracySegmentsBranch
60.1%1x
60.1%1y
60.1%1z
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.3900769533742196e+306
3.52986751681729e+307
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
3.067039444745921e+134
5.037237337044393e+138
Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.000262554126179791
110371.84371148759
Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.000262554126179791
110371.84371148759
Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.000262554126179791
110371.84371148759
Compiler

Compiled 20 to 14 computations (30% saved)

bsearch15.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
0.000262554126179791
110371.84371148759
Results
9.0ms144×0valid
Compiler

Compiled 200 to 149 computations (25.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (49.2% of total)
ival-add: 1.0ms (24.6% of total)
ival-mult: 1.0ms (24.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch18.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
17.0ms
0.000262554126179791
110371.84371148759
Results
13.0ms144×0valid
Compiler

Compiled 200 to 149 computations (25.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (48.7% of total)
ival-add: 1.0ms (24.4% of total)
ival-mult: 1.0ms (24.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify12.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
28×*-commutative_binary64
24×+-commutative_binary64
22×sub-neg_binary64
18×neg-sub0_binary64
18×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048176
170176
285176
3100176
4116176
5123176
6127176
7128176
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal 2000000000000000034432129193472909657662175650026477964657784035784761342489150095975840903750919189137212277723396582120622098451065897041393877611422881300245257029338856920713985249936056659101378448350568693460121432177658428510879389260239589093011024831235964286525341725837632725724238309498254524416 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x z))) z))
(if (<=.f64 (*.f64 z z) #s(literal 499999999999999980914845420907469931724617668138392575722702061727550202027827845338095855082297280184351144790266035545655630691827712 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (-.f64 #s(literal -1 binary64) (*.f64 z z))) (neg.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z x)) y) z)))
(if (<=.f64 (*.f64 z z) #s(literal 1152921504606847/2305843009213693952 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) x) (neg.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z x)) y) z)))
(if (<=.f64 (*.f64 z z) #s(literal 1152921504606847/2305843009213693952 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x z))) z))
(if (<=.f64 (*.f64 z z) #s(literal 1152921504606847/2305843009213693952 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x z))) z))
(if (<=.f64 (*.f64 z z) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z z))) y))
(if (<=.f64 (*.f64 z z) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal 1 binary64) (*.f64 y x))
Outputs
(if (<=.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal 2000000000000000034432129193472909657662175650026477964657784035784761342489150095975840903750919189137212277723396582120622098451065897041393877611422881300245257029338856920713985249936056659101378448350568693460121432177658428510879389260239589093011024831235964286525341725837632725724238309498254524416 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x z))) z))
(if (<=.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal 2000000000000000034432129193472909657662175650026477964657784035784761342489150095975840903750919189137212277723396582120622098451065897041393877611422881300245257029338856920713985249936056659101378448350568693460121432177658428510879389260239589093011024831235964286525341725837632725724238309498254524416 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z x))) z))
(if (<=.f64 (*.f64 z z) #s(literal 499999999999999980914845420907469931724617668138392575722702061727550202027827845338095855082297280184351144790266035545655630691827712 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (-.f64 #s(literal -1 binary64) (*.f64 z z))) (neg.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z x)) y) z)))
(if (<=.f64 (*.f64 z z) #s(literal 499999999999999980914845420907469931724617668138392575722702061727550202027827845338095855082297280184351144790266035545655630691827712 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) (*.f64 z x)) (-.f64 #s(literal 0 binary64) y)) z))
(if (<=.f64 (*.f64 z z) #s(literal 1152921504606847/2305843009213693952 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) x) (neg.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z x)) y) z)))
(if (<=.f64 (*.f64 z z) #s(literal 1152921504606847/2305843009213693952 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) x) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z x)) (-.f64 #s(literal 0 binary64) y)) z))
(if (<=.f64 (*.f64 z z) #s(literal 1152921504606847/2305843009213693952 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x z))) z))
(if (<=.f64 (*.f64 z z) #s(literal 1152921504606847/2305843009213693952 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z x))) z))
(if (<=.f64 (*.f64 z z) #s(literal 1152921504606847/2305843009213693952 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x z))) z))
(if (<=.f64 (*.f64 z z) #s(literal 1152921504606847/2305843009213693952 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z x))) z))
(if (<=.f64 (*.f64 z z) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z z))) y))
(if (<=.f64 (*.f64 z z) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) x)) y))
(if (<=.f64 (*.f64 z z) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z)))))
(if (<=.f64 (*.f64 z z) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (*.f64 z z) x))))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal 1 binary64) (*.f64 y x))

soundness2.0s (19.4%)

Rules
4888×*-lowering-*.f32
4888×*-lowering-*.f64
4838×*-lowering-*.f32
4838×*-lowering-*.f64
3744×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
025110
1167100
2133595
0897195
099
1259
2488
31118
41798
52468
62508
02508
0941633
12761356
28001348
330211307
081491307
01244
18044
257740
3426240
0829740
02485
115684
2129178
0852078
028111
1191106
21395100
08579100
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×saturated
1×iter limit
1×node limit
Compiler

Compiled 549 to 296 computations (46.1% saved)

preprocess586.0ms (5.8%)

Remove

(abs z)

Compiler

Compiled 964 to 374 computations (61.2% saved)

end0.0ms (0%)

Profiling

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