Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, G

Time bar (total: 15.2s)

analyze181.0ms (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
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
20%18.7%74.9%0.1%0%6.2%0%7
20%18.7%74.9%0.1%0%6.2%0%8
41.4%37.4%53%0.1%0%9.4%0%9
58.2%49.9%35.9%0.1%0%14%0%10
58.2%49.9%35.9%0.1%0%14%0%11
67.3%56.2%27.3%0.1%0%16.4%0%12
Compiler

Compiled 17 to 11 computations (35.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 93.0ms
ival-div: 28.0ms (30.1% of total)
ival-add: 20.0ms (21.5% of total)
ival-log: 18.0ms (19.3% of total)
ival-exp: 13.0ms (14% of total)
ival-mult: 13.0ms (14% of total)
const: 1.0ms (1.1% of total)
backward-pass: 1.0ms (1.1% of total)

sample1.9s (12.7%)

Results
656.0ms6187×0valid
789.0ms2069×1valid
98.0ms925×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-log: 524.0ms (44.4% of total)
ival-div: 208.0ms (17.6% of total)
ival-add: 183.0ms (15.5% of total)
ival-mult: 112.0ms (9.5% of total)
ival-exp: 87.0ms (7.4% of total)
backward-pass: 57.0ms (4.8% of total)
const: 8.0ms (0.7% of total)
Bogosity

preprocess212.0ms (1.4%)

Algorithm
2×egg-herbie
Rules
1768×div-sub
886×sub-neg
620×distribute-rgt-in
612×distribute-lft-in
598×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
052143
1108115
2226113
3485113
41092113
52281111
63261111
74509111
85349111
96067111
106459111
116686111
126974111
137269111
147517111
157842111
167942111
177944111
187944111
197944111
01013
11511
21811
31811
01811
Stop Event
1×iter limit
1×saturated
1×node limit
Calls
Call 1
Inputs
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
Outputs
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
Call 2
Inputs
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
(+ (neg x) (/ (exp (* y (log (/ y (+ z y))))) y))
(+ x (/ (exp (* (neg y) (log (/ (neg y) (+ z (neg y)))))) (neg y)))
(+ x (/ (exp (* y (log (/ y (+ (neg z) y))))) y))
(neg (+ (neg x) (/ (exp (* y (log (/ y (+ z y))))) y)))
(neg (+ x (/ (exp (* (neg y) (log (/ (neg y) (+ z (neg y)))))) (neg y))))
(neg (+ x (/ (exp (* y (log (/ y (+ (neg z) y))))) y)))
(+ y (/ (exp (* x (log (/ x (+ z x))))) x))
(+ z (/ (exp (* y (log (/ y (+ x y))))) y))
(+ x (/ (exp (* z (log (/ z (+ y z))))) z))
Outputs
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
(+ x (/ (pow (/ y (+ y z)) y) y))
(+ (neg x) (/ (exp (* y (log (/ y (+ z y))))) y))
(- (/ (pow (/ y (+ y z)) y) y) x)
(+ x (/ (exp (* (neg y) (log (/ (neg y) (+ z (neg y)))))) (neg y)))
(- x (/ (pow (/ (- y z) y) y) y))
(+ x (/ (exp (* y (log (/ y (+ (neg z) y))))) y))
(+ x (/ (pow (/ y (- y z)) y) y))
(neg (+ (neg x) (/ (exp (* y (log (/ y (+ z y))))) y)))
(- x (/ (pow (/ y (+ y z)) y) y))
(neg (+ x (/ (exp (* (neg y) (log (/ (neg y) (+ z (neg y)))))) (neg y))))
(- (/ (pow (/ (- y z) y) y) y) x)
(neg (+ x (/ (exp (* y (log (/ y (+ (neg z) y))))) y)))
(- (neg x) (/ (pow (/ y (- y z)) y) y))
(+ y (/ (exp (* x (log (/ x (+ z x))))) x))
(+ y (/ (pow (/ x (+ x z)) x) x))
(+ z (/ (exp (* y (log (/ y (+ x y))))) y))
(+ z (/ (pow (/ y (+ x y)) y) y))
(+ x (/ (exp (* z (log (/ z (+ y z))))) z))
(+ x (/ (pow (/ z (+ y z)) z) z))

explain313.0ms (2.1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1690-1(1.0092676508473925e-213 1.38635228101917e-152 1.181293083545275e+161)(log.f64 (/.f64 y (+.f64 z y)))
340-5(8.612134752360848e+69 -9.564700004741724e+175 1.428520600602172e-145)(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))
00-0-x
00-0-y
00-0-(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
00-0-(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))))
00-0-(+.f64 z y)
00-0-(/.f64 y (+.f64 z y))
00-0-z
00-0-(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
Results
155.0ms270×1valid
21.0ms188×0valid
30.0ms46×2valid
8.0ms8×3valid
Compiler

Compiled 140 to 32 computations (77.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 163.0ms
ival-add: 73.0ms (44.7% of total)
ival-log: 50.0ms (30.6% of total)
ival-div: 15.0ms (9.2% of total)
backward-pass: 10.0ms (6.1% of total)
ival-exp: 7.0ms (4.3% of total)
ival-mult: 7.0ms (4.3% of total)
const: 1.0ms (0.6% of total)

eval0.0ms (0%)

Compiler

Compiled 14 to 8 computations (42.9% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶87.8%
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
Compiler

Compiled 14 to 8 computations (42.9% saved)

localize97.0ms (0.6%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 y (+.f64 y z))
✓cost-diff0
(pow.f64 (/.f64 y (+.f64 y z)) y)
✓cost-diff0
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
✓cost-diff0
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
✓accuracy100.0%
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
✓accuracy100.0%
(/.f64 y (+.f64 y z))
✓accuracy100.0%
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
✓accuracy79.1%
(pow.f64 (/.f64 y (+.f64 y z)) y)
Rules
8×+-lowering-+.f64
8×+-lowering-+.f32
4×/-lowering-/.f32
4×/-lowering-/.f64
4×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0838
11038
01038
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ x (/ (pow (/ y (+ y z)) y) y))
x
(/ (pow (/ y (+ y z)) y) y)
(pow (/ y (+ y z)) y)
(/ y (+ y z))
y
(+ y z)
z
Outputs
(+ x (/ (pow (/ y (+ y z)) y) y))
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
x
(/ (pow (/ y (+ y z)) y) y)
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
(pow (/ y (+ y z)) y)
(pow.f64 (/.f64 y (+.f64 y z)) y)
(/ y (+ y z))
(/.f64 y (+.f64 y z))
y
(+ y z)
(+.f64 y z)
z
Results
17.0ms139×0valid
57.0ms117×1valid
Compiler

Compiled 42 to 9 computations (78.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-pow: 38.0ms (70.5% of total)
ival-div: 8.0ms (14.8% of total)
ival-add: 5.0ms (9.3% of total)
backward-pass: 3.0ms (5.6% of total)
const: 0.0ms (0% of total)

series32.0ms (0.2%)

Counts
4 → 108
Calls
Call 1
Inputs
#<alt (pow (/ y (+ y z)) y)>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt (/ y (+ y z))>
#<alt (/ (pow (/ y (+ y z)) y) y)>
Outputs
#<alt 1>
#<alt (+ 1 (* y (+ (log y) (log (/ 1 z)))))>
#<alt (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))>
#<alt (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z)))))))>
#<alt (exp (* -1 z))>
#<alt (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)))>
#<alt (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))>
#<alt (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (pow y 3)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))))>
#<alt (exp (* -1 z))>
#<alt (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)))>
#<alt (+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)))>
#<alt (+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)))>
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)))>
#<alt (exp (* y (+ (log y) (log (/ 1 z)))))>
#<alt (+ (exp (* y (+ (log y) (log (/ 1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)))>
#<alt (+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2))))>
#<alt (+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (pow z 3)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2)))))>
#<alt (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))>
#<alt (+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)))>
#<alt (+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)))>
#<alt (+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) z)) (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4))))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)))>
#<alt (/ (pow (/ y (+ y z)) y) y)>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt x>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* y (+ x (+ (log y) (log (/ 1 z)))))) y)>
#<alt (/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))) y)>
#<alt (/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z)))))))) y)>
#<alt x>
#<alt (+ x (/ (exp (* -1 z)) y))>
#<alt (+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (/ (exp (* -1 z)) y)))>
#<alt (+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (+ (/ (exp (* -1 z)) y) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 3)))))>
#<alt x>
#<alt (+ x (/ (exp (* -1 z)) y))>
#<alt (+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)))>
#<alt (+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y)))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)))>
#<alt (+ x (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))>
#<alt (+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)))>
#<alt (+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2))))))>
#<alt (+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (* y (pow z 3))) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2)))))))>
#<alt (+ x (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))>
#<alt (+ x (+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)))>
#<alt (+ x (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y z))) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)))>
#<alt (+ x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (* y z))) (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) y)) z)) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)))>
#<alt (/ y z)>
#<alt (* y (+ (* -1 (/ y (pow z 2))) (/ 1 z)))>
#<alt (* y (+ (* y (- (/ y (pow z 3)) (/ 1 (pow z 2)))) (/ 1 z)))>
#<alt (* y (+ (* y (- (* y (+ (* -1 (/ y (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ z y)))>
#<alt (- (+ 1 (/ (pow z 2) (pow y 2))) (/ z y))>
#<alt (- (+ 1 (* -1 (/ (pow z 3) (pow y 3)))) (+ (* -1 (/ (pow z 2) (pow y 2))) (/ z y)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ z y)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow z 2) y)) (* -1 z)) y)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) y)) (* -1 (pow z 2))) y)) (* -1 z)) y)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ z y)))>
#<alt (+ 1 (* z (- (/ z (pow y 2)) (/ 1 y))))>
#<alt (+ 1 (* z (- (* z (+ (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))))>
#<alt (/ y z)>
#<alt (/ (+ y (* -1 (/ (pow y 2) z))) z)>
#<alt (/ (- (+ y (/ (pow y 3) (pow z 2))) (/ (pow y 2) z)) z)>
#<alt (/ (- (+ y (* -1 (/ (pow y 4) (pow z 3)))) (+ (* -1 (/ (pow y 3) (pow z 2))) (/ (pow y 2) z))) z)>
#<alt (/ y z)>
#<alt (* -1 (/ (+ (* -1 y) (/ (pow y 2) z)) z))>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) z) (pow y 2)) z))) z))>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (pow y 3)) z)) (pow y 2)) z))) z))>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y)>
#<alt (/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) y)>
#<alt (/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z))))))) y)>
#<alt (/ (exp (* -1 z)) y)>
#<alt (/ (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)>
#<alt (/ (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))) y)>
#<alt (/ (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (pow y 3)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))) y)>
#<alt (/ (exp (* -1 z)) y)>
#<alt (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y))>
#<alt (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y))>
#<alt (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) y)) (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) y))>
#<alt (/ 1 y)>
#<alt (+ (* -1 (/ z y)) (/ 1 y))>
#<alt (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))>
#<alt (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))>
#<alt (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)>
#<alt (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))>
#<alt (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2)))))>
#<alt (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (* y (pow z 3))) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2))))))>
#<alt (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)>
#<alt (+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y z))) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (* y z))) (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) y)) z)) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))>
Calls

27 calls:

TimeVariablePointExpression
7.0ms
x
@0
(+ x (/ (pow (/ y (+ y z)) y) y))
2.0ms
y
@inf
(pow (/ y (+ y z)) y)
2.0ms
y
@-inf
(pow (/ y (+ y z)) y)
2.0ms
z
@inf
(pow (/ y (+ y z)) y)
1.0ms
y
@-inf
(/ (pow (/ y (+ y z)) y) y)

rewrite632.0ms (4.2%)

Algorithm
1×batch-egg-rewrite
Rules
3742×*-lowering-*.f32
3742×*-lowering-*.f64
3150×accelerator-lowering-fma.f32
3150×accelerator-lowering-fma.f64
2860×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0832
15632
245932
3684432
0847732
Stop Event
1×iter limit
1×node limit
Counts
4 → 226
Calls
Call 1
Inputs
(pow (/ y (+ y z)) y)
(+ x (/ (pow (/ y (+ y z)) y) y))
(/ y (+ y z))
(/ (pow (/ y (+ y z)) y) y)
Outputs
(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 y z)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 y z)) (/.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y (+.f64 y z)) (/.f64 (+.f64 y z) y))) (/.f64 y #s(literal 2 binary64))))
(exp.f64 (*.f64 (/.f64 (log.f64 (/.f64 y (+.f64 y z))) (/.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (/.f64 (log.f64 (/.f64 y (+.f64 y z))) (/.f64 #s(literal 2 binary64) y)) (/.f64 (log.f64 (/.f64 y (+.f64 y z))) (/.f64 #s(literal 2 binary64) y))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y (+.f64 y z)) y)))
(neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y (+.f64 y z)) y)))
(pow.f64 (/.f64 y (+.f64 y z)) y)
(pow.f64 (/.f64 (+.f64 y z) y) (-.f64 #s(literal 0 binary64) y))
(pow.f64 (pow.f64 (/.f64 y (+.f64 y z)) (/.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 y (+.f64 y z)) (/.f64 (+.f64 y z) y)) (/.f64 y #s(literal 2 binary64)))
(pow.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 y) (log.f64 (/.f64 y (+.f64 y z))))
(*.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y (+.f64 y z)) y))
(*.f64 (pow.f64 (/.f64 y (+.f64 y z)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 y z)) (/.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 y (+.f64 y z)) (/.f64 y #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y (+.f64 y z)) (/.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 (/.f64 y (+.f64 y z)) (/.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 (/.f64 y (+.f64 y z)) (/.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y (+.f64 y z)) y)))
(*.f64 (pow.f64 y (/.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y z)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 y z)) (/.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y y) (pow.f64 (+.f64 y z) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (pow.f64 y y) (*.f64 (pow.f64 (+.f64 y z) (-.f64 #s(literal 0 binary64) y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 y z) (-.f64 #s(literal 0 binary64) y)) (pow.f64 y y))
(*.f64 (pow.f64 (/.f64 y (+.f64 y z)) (/.f64 y #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 y (+.f64 y z)) (/.f64 y #s(literal 4 binary64))) (pow.f64 (/.f64 y (+.f64 y z)) (/.f64 y #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y (+.f64 y z)) (/.f64 y #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y (+.f64 y z)) (/.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) y) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 y z)) y))
(*.f64 (pow.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 y (+.f64 y z)) y))
(*.f64 (pow.f64 (/.f64 y (+.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) y) (pow.f64 (+.f64 (*.f64 y y) (*.f64 z (-.f64 z y))) y))
(*.f64 (pow.f64 (/.f64 y (-.f64 (*.f64 y y) (*.f64 z z))) y) (pow.f64 (-.f64 y z) y))
(*.f64 (pow.f64 (pow.f64 y (/.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y z)) (/.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 y (+.f64 y z)) (/.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 y (+.f64 y z)) (/.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y (+.f64 y z)) (/.f64 y #s(literal 2 binary64))))) (pow.f64 (/.f64 y (+.f64 y z)) (/.f64 y #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y (+.f64 y z)) (/.f64 y #s(literal 2 binary64)))) (pow.f64 (/.f64 y (+.f64 y z)) (/.f64 y #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y y)) (pow.f64 (+.f64 y z) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (*.f64 (pow.f64 (/.f64 y (+.f64 y z)) (/.f64 y #s(literal 2 binary64))) (pow.f64 y (/.f64 y #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y z)) (/.f64 y #s(literal 2 binary64))))
(*.f64 (*.f64 (pow.f64 (/.f64 y (+.f64 y z)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 y z)) (/.f64 y #s(literal 4 binary64)))) (pow.f64 (/.f64 y (+.f64 y z)) (/.f64 y #s(literal 4 binary64))))
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x)
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))) (neg.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 #s(literal 2 binary64) y)) (*.f64 y y)) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)))))
(-.f64 x (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))) (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 #s(literal 2 binary64) y)) (*.f64 y y)) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))))
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 #s(literal 2 binary64) y)) (*.f64 y y)) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x)))
(fma.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 x #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
(fma.f64 x (/.f64 x (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))) (neg.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 #s(literal 2 binary64) y)) (*.f64 y y)) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)))))
(fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) #s(literal 1 binary64) x)
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y (+.f64 y z)) y)) (/.f64 #s(literal -1 binary64) y) x)
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y (+.f64 y z)) y)) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))) (neg.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 #s(literal 2 binary64) y)) (*.f64 y y)) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)))))
(fma.f64 #s(literal 1 binary64) x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 y (+.f64 y z)) y) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (pow.f64 (/.f64 y (+.f64 y z)) (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64)) x)
(fma.f64 (pow.f64 (/.f64 y (+.f64 y z)) (/.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (/.f64 y #s(literal 2 binary64))) y) x)
(fma.f64 (pow.f64 (/.f64 y (+.f64 y z)) (/.f64 y #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y (+.f64 y z)) (/.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) y)) x)
(fma.f64 (pow.f64 (/.f64 y (+.f64 y z)) (/.f64 y #s(literal 2 binary64))) (*.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (/.f64 y #s(literal 2 binary64))) y) #s(literal 1 binary64)) x)
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) x)
(fma.f64 (pow.f64 y (/.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y z)) (/.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (/.f64 y #s(literal 2 binary64))) y)) x)
(fma.f64 (pow.f64 y y) (/.f64 (pow.f64 (+.f64 y z) (-.f64 #s(literal 0 binary64) y)) y) x)
(fma.f64 (pow.f64 y y) (*.f64 (pow.f64 (+.f64 y z) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y (+.f64 y z)) y)) x)
(fma.f64 (pow.f64 (/.f64 y (+.f64 y z)) (/.f64 y #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 y (+.f64 y z)) (/.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (/.f64 y #s(literal 2 binary64))) y)) x)
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y (+.f64 y z)) (/.f64 y #s(literal 2 binary64)))) (*.f64 (pow.f64 (/.f64 y (+.f64 y z)) (/.f64 y #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)) x)
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y (+.f64 y z)) (/.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (/.f64 y #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) y)) x)
(fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (/.f64 y #s(literal 2 binary64))) y) (pow.f64 (/.f64 y (+.f64 y z)) (/.f64 y #s(literal 2 binary64))) x)
(fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (/.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y (+.f64 y z)) (/.f64 y #s(literal 2 binary64)))) y) x)
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y (+.f64 y z)) (/.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (/.f64 y #s(literal 2 binary64))) y) x)
(fma.f64 (pow.f64 (/.f64 y (pow.f64 (/.f64 y (+.f64 y z)) y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (pow.f64 (/.f64 y (+.f64 y z)) y)) #s(literal -1/2 binary64)) x)
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y (+.f64 y z)) (/.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (/.f64 y #s(literal 2 binary64))) y) x)
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 y y)) (pow.f64 (+.f64 y z) (-.f64 #s(literal 0 binary64) y)) x)
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 #s(literal 2 binary64) y)) (*.f64 y y)))) (+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) (neg.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 #s(literal 2 binary64) y)) (*.f64 y y)) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)))))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x x)) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 y #s(literal 3 binary64))) (*.f64 y (*.f64 y y))))) (+.f64 (*.f64 x x) (*.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) (+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)))) (neg.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 #s(literal 2 binary64) y)) (*.f64 y y)) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)))))
(neg.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 y #s(literal 3 binary64))) (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x) (/.f64 y (pow.f64 (/.f64 y (+.f64 y z)) y)))))))
(neg.f64 (/.f64 (-.f64 (*.f64 x x) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 #s(literal 2 binary64) y)) (*.f64 y y))) (+.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 y #s(literal 3 binary64))) (*.f64 y (*.f64 y y))))) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x) (/.f64 y (pow.f64 (/.f64 y (+.f64 y z)) y))))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (*.f64 x x)) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (*.f64 #s(literal 2 binary64) y)) (*.f64 y y))) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))))
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simplify684.0ms (4.5%)

Algorithm
1×egg-herbie
Rules
8936×accelerator-lowering-fma.f32
8936×accelerator-lowering-fma.f64
5130×*-lowering-*.f32
5130×*-lowering-*.f64
3466×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04413085
113502647
245232341
084942221
Stop Event
1×iter limit
1×node limit
Counts
108 → 108
Calls
Call 1
Inputs
1
(+ 1 (* y (+ (log y) (log (/ 1 z)))))
(+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))
(+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z)))))))
(exp (* -1 z))
(+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)))
(+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))
(+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (pow y 3)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))))
(exp (* -1 z))
(+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)))
(+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)))
(+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)))
1
(+ 1 (* -1 z))
(+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))
(+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)))
(exp (* y (+ (log y) (log (/ 1 z)))))
(+ (exp (* y (+ (log y) (log (/ 1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)))
(+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2))))
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(/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (log.f64 y) (log.f64 z)))) y)
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) y)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (log.f64 y) (-.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) z))) (log.f64 z))))) y)
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z))))))) y)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (-.f64 (log.f64 y) (log.f64 z)) (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) (/.f64 (-.f64 (log.f64 y) (log.f64 z)) z)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 y) (log.f64 z)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) z))))))) y)
(/ (exp (* -1 z)) y)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y)
(/ (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)
(/.f64 (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z (/.f64 z y)) (exp.f64 z)))) y)
(/ (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))) y)
(/.f64 (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) (+.f64 (*.f64 (*.f64 z (/.f64 z y)) #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 1/8 binary64))) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/3 binary64))) (*.f64 y y))))) y)
(/ (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (pow y 3)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))) y)
(/.f64 (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) (+.f64 (*.f64 (*.f64 z (/.f64 z y)) #s(literal 1/2 binary64)) (+.f64 (/.f64 (+.f64 (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 1/8 binary64))) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/3 binary64))) (*.f64 y y)) (/.f64 (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) #s(literal 6 binary64))) (*.f64 (*.f64 z z) (+.f64 (*.f64 (*.f64 z (*.f64 (*.f64 z z) #s(literal -2 binary64))) #s(literal 1/12 binary64)) (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) #s(literal 1/48 binary64))))) (*.f64 y (*.f64 y y))))))) y)
(/ (exp (* -1 z)) y)
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y)
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 z (/.f64 z y)) #s(literal -1/2 binary64)))) y))
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y))
(/.f64 (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) (/.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) (+.f64 (/.f64 (+.f64 (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 1/8 binary64))) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/3 binary64))) y) (*.f64 (*.f64 z z) #s(literal 1/2 binary64)))) y)) y)
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) y)) (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) y))
(/.f64 (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) (exp.f64 z))) (/.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) (-.f64 (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) #s(literal 6 binary64)) #s(literal -1/24 binary64)) (*.f64 (*.f64 z z) (+.f64 (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) #s(literal -1/48 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 z (*.f64 z (*.f64 z #s(literal 2 binary64)))))))) y) (+.f64 (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) #s(literal 1/8 binary64))) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/3 binary64))))) y)) y)) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -1 (/ z y)) (/ 1 y))
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y))
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z (+.f64 (*.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) (/.f64 #s(literal -1 binary64) y))))
(+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z (+.f64 (*.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 (*.f64 z (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))) y)))) (/.f64 #s(literal -1 binary64) y))))
(/ (exp (* y (+ (log y) (log (/ 1 z))))) y)
(/.f64 (*.f64 (pow.f64 y y) (pow.f64 (/.f64 #s(literal 1 binary64) z) y)) y)
(+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))
(-.f64 (/.f64 (*.f64 (pow.f64 y y) (pow.f64 (/.f64 #s(literal 1 binary64) z) y)) y) (*.f64 (*.f64 (pow.f64 y y) (pow.f64 (/.f64 #s(literal 1 binary64) z) y)) (/.f64 y z)))
(+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2)))))
(-.f64 (*.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y y)))) (*.f64 z z)) #s(literal 1 binary64)) (/.f64 (*.f64 (pow.f64 y y) (pow.f64 (/.f64 #s(literal 1 binary64) z) y)) y)) (*.f64 (*.f64 (pow.f64 y y) (pow.f64 (/.f64 #s(literal 1 binary64) z) y)) (/.f64 y z)))
(+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (* y (pow z 3))) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2))))))
(+.f64 (-.f64 (/.f64 (*.f64 (pow.f64 y y) (pow.f64 (/.f64 #s(literal 1 binary64) z) y)) y) (*.f64 (*.f64 (pow.f64 y y) (pow.f64 (/.f64 #s(literal 1 binary64) z) y)) (/.f64 y z))) (*.f64 (/.f64 (*.f64 (pow.f64 y y) (pow.f64 (/.f64 #s(literal 1 binary64) z) y)) y) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y y)))) (*.f64 z z)) (/.f64 (+.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 y (*.f64 y y))) (*.f64 y #s(literal 1/6 binary64))) (+.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/2 binary64))) (*.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 6 binary64))))) (*.f64 z (*.f64 z z))))))
(/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)
(/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y)) y)
(+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))
(-.f64 (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y)) y) (/.f64 (*.f64 y (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y))) z))
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y z))) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))
(-.f64 (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y)) y) (/.f64 (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y)) (+.f64 y (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y y))) z)) y))) z))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (* y z))) (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) y)) z)) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))
(+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y)) y) (/.f64 (-.f64 (/.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y)) y) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y y)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 (*.f64 y y) (*.f64 y y)))) (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 y (*.f64 y (*.f64 #s(literal 2 binary64) (*.f64 y y)))) (pow.f64 y #s(literal 6 binary64))))) z))) z) (*.f64 y (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) y)))) z))

eval147.0ms (1%)

Compiler

Compiled 9712 to 3179 computations (67.3% saved)

prune58.0ms (0.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New32410334
Fresh000
Picked101
Done000
Total32510335
Accuracy
100.0%
Counts
335 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
39.8%
(/.f64 #s(literal 1 binary64) y)
▶88.2%
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
▶58.9%
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 z (+.f64 (*.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) (/.f64 #s(literal -1 binary64) y))))
47.9%
(+.f64 x (/.f64 (pow.f64 (/.f64 y z) y) y))
▶71.1%
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
66.3%
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))))) y))
61.1%
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))))))))) y))
▶86.6%
(+.f64 x (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y))
81.6%
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 y x))))
▶50.8%
x
Compiler

Compiled 298 to 210 computations (29.5% saved)

localize848.0ms (5.6%)

Algorithm
1×egg-herbie
Localize:

Found 26 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 #s(literal 0 binary64) z)
✓cost-diff0
(exp.f64 (-.f64 #s(literal 0 binary64) z))
✓cost-diff0
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y)
✓cost-diff0
(+.f64 x (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y))
✓cost-diff128
(*.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)))
✓cost-diff256
(+.f64 (*.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) (/.f64 #s(literal -1 binary64) y))
✓cost-diff256
(*.f64 z (+.f64 (*.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) (/.f64 #s(literal -1 binary64) y)))
✓cost-diff256
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 z (+.f64 (*.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) (/.f64 #s(literal -1 binary64) y))))
✓cost-diff0
(-.f64 #s(literal 1 binary64) z)
✓cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
✓cost-diff0
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
✓cost-diff0
(/.f64 #s(literal 1 binary64) y)
✓cost-diff0
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
✓accuracy100.0%
(-.f64 #s(literal 0 binary64) z)
✓accuracy100.0%
(exp.f64 (-.f64 #s(literal 0 binary64) z))
✓accuracy100.0%
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y)
✓accuracy100.0%
(+.f64 x (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y))
✓accuracy100.0%
(+.f64 (*.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) (/.f64 #s(literal -1 binary64) y))
✓accuracy99.8%
(/.f64 (/.f64 #s(literal 1/2 binary64) y) y)
✓accuracy98.7%
(*.f64 z (+.f64 (*.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) (/.f64 #s(literal -1 binary64) y)))
✓accuracy95.7%
(*.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) z)
✓accuracy100.0%
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
✓accuracy100.0%
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
✓accuracy100.0%
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
Rules
12194×accelerator-lowering-fma.f32
12194×accelerator-lowering-fma.f64
2500×*-lowering-*.f32
2500×*-lowering-*.f64
1648×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024133
158133
2136131
3263123
4499123
51057121
62363121
74220121
86475117
97697117
08030113
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (/ 1 y) x)
(/ 1 y)
1
y
x
(+ x (/ (- 1 z) y))
(/ (- 1 z) y)
(- 1 z)
z
(+ (+ (/ 1 y) x) (* z (+ (* z (+ (/ 1/2 y) (/ (/ 1/2 y) y))) (/ -1 y))))
(* z (+ (* z (+ (/ 1/2 y) (/ (/ 1/2 y) y))) (/ -1 y)))
(+ (* z (+ (/ 1/2 y) (/ (/ 1/2 y) y))) (/ -1 y))
(* z (+ (/ 1/2 y) (/ (/ 1/2 y) y)))
(+ (/ 1/2 y) (/ (/ 1/2 y) y))
(/ 1/2 y)
1/2
(/ (/ 1/2 y) y)
(/ -1 y)
-1
(+ x (/ (exp (- 0 z)) y))
(/ (exp (- 0 z)) y)
(exp (- 0 z))
(- 0 z)
0
Outputs
(+ (/ 1 y) x)
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
x
(+ x (/ (- 1 z) y))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(/ (- 1 z) y)
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
z
(+ (+ (/ 1 y) x) (* z (+ (* z (+ (/ 1/2 y) (/ (/ 1/2 y) y))) (/ -1 y))))
(+.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) (+.f64 (+.f64 z #s(literal -1 binary64)) (*.f64 (*.f64 z z) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) y))))))
(* z (+ (* z (+ (/ 1/2 y) (/ (/ 1/2 y) y))) (/ -1 y)))
(*.f64 (/.f64 z y) (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))))
(+ (* z (+ (/ 1/2 y) (/ (/ 1/2 y) y))) (/ -1 y))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))) y)
(* z (+ (/ 1/2 y) (/ (/ 1/2 y) y)))
(*.f64 (/.f64 z y) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(+ (/ 1/2 y) (/ (/ 1/2 y) y))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
1/2
#s(literal 1/2 binary64)
(/ (/ 1/2 y) y)
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
-1
#s(literal -1 binary64)
(+ x (/ (exp (- 0 z)) y))
(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 z)) y))
(/ (exp (- 0 z)) y)
(/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 z)) y)
(exp (- 0 z))
(/.f64 #s(literal 1 binary64) (exp.f64 z))
(- 0 z)
(-.f64 #s(literal 0 binary64) z)
0
#s(literal 0 binary64)
Results
162.0ms256×0valid
Compiler

Compiled 160 to 99 computations (38.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 121.0ms
ival-div: 70.0ms (58% of total)
ival-add: 16.0ms (13.3% of total)
ival-mult: 13.0ms (10.8% of total)
ival-sub: 11.0ms (9.1% of total)
ival-exp: 6.0ms (5% of total)
const: 4.0ms (3.3% of total)
backward-pass: 0.0ms (0% of total)

series38.0ms (0.3%)

Counts
14 → 312
Calls
Call 1
Inputs
#<alt (+ (/ 1 y) x)>
#<alt (/ 1 y)>
#<alt (+ x (/ (- 1 z) y))>
#<alt (/ (- 1 z) y)>
#<alt (- 1 z)>
#<alt (* z (+ (/ 1/2 y) (/ (/ 1/2 y) y)))>
#<alt (* z (+ (* z (+ (/ 1/2 y) (/ (/ 1/2 y) y))) (/ -1 y)))>
#<alt (/ (/ 1/2 y) y)>
#<alt (+ (* z (+ (/ 1/2 y) (/ (/ 1/2 y) y))) (/ -1 y))>
#<alt (+ x (/ (exp (- 0 z)) y))>
#<alt (/ (exp (- 0 z)) y)>
#<alt (exp (- 0 z))>
#<alt (- 0 z)>
#<alt (+ (+ (/ 1 y) x) (* z (+ (* z (+ (/ 1/2 y) (/ (/ 1/2 y) y))) (/ -1 y))))>
Outputs
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* x y)) y)>
#<alt (/ (+ 1 (* x y)) y)>
#<alt (/ (+ 1 (* x y)) y)>
#<alt x>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt x>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (/ 1 y)>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt x>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt x>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 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 y) (/ z y))>
#<alt (- (+ x (/ 1 y)) (/ z y))>
#<alt (- (+ x (/ 1 y)) (/ z y))>
#<alt (- (+ x (/ 1 y)) (/ z y))>
#<alt x>
#<alt (* x (- (+ 1 (/ 1 (* x y))) (/ z (* x y))))>
#<alt (* x (- (+ 1 (/ 1 (* x y))) (/ z (* x y))))>
#<alt (* x (- (+ 1 (/ 1 (* x y))) (/ z (* x y))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ z y)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ z y)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ z y)) x)) 1)))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (* -1 (/ z y))>
#<alt (* z (- (+ (/ 1 (* y z)) (/ x z)) (/ 1 y)))>
#<alt (* z (- (+ (/ 1 (* y z)) (/ x z)) (/ 1 y)))>
#<alt (* z (- (+ (/ 1 (* y z)) (/ x z)) (/ 1 y)))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y))))>
#<alt (/ (- 1 z) y)>
#<alt (/ (- (+ 1 (* x y)) z) y)>
#<alt (/ (- (+ 1 (* x y)) z) y)>
#<alt (/ (- (+ 1 (* x y)) z) y)>
#<alt x>
#<alt (- (+ x (/ 1 y)) (/ z y))>
#<alt (- (+ x (/ 1 y)) (/ z y))>
#<alt (- (+ x (/ 1 y)) (/ z y))>
#<alt x>
#<alt (- (+ x (/ 1 y)) (/ z y))>
#<alt (- (+ x (/ 1 y)) (/ z y))>
#<alt (- (+ x (/ 1 y)) (/ z y))>
#<alt (/ 1 y)>
#<alt (+ (* -1 (/ z y)) (/ 1 y))>
#<alt (+ (* -1 (/ z y)) (/ 1 y))>
#<alt (+ (* -1 (/ z y)) (/ 1 y))>
#<alt (* -1 (/ z y))>
#<alt (* z (- (/ 1 (* y z)) (/ 1 y)))>
#<alt (* z (- (/ 1 (* y z)) (/ 1 y)))>
#<alt (* z (- (/ 1 (* y z)) (/ 1 y)))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (* z (- (/ 1 y) (/ 1 (* y z)))))>
#<alt (* -1 (* z (- (/ 1 y) (/ 1 (* y z)))))>
#<alt (* -1 (* z (- (/ 1 y) (/ 1 (* y z)))))>
#<alt (/ (- 1 z) y)>
#<alt (/ (- 1 z) y)>
#<alt (/ (- 1 z) y)>
#<alt (/ (- 1 z) y)>
#<alt (/ (- 1 z) y)>
#<alt (/ (- 1 z) y)>
#<alt (/ (- 1 z) y)>
#<alt (/ (- 1 z) y)>
#<alt (/ (- 1 z) y)>
#<alt (/ (- 1 z) y)>
#<alt (/ (- 1 z) y)>
#<alt (/ (- 1 z) y)>
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ 1 z) 1))>
#<alt (* z (- (/ 1 z) 1))>
#<alt (* z (- (/ 1 z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (- 1 (/ 1 z))))>
#<alt (* -1 (* z (- 1 (/ 1 z))))>
#<alt (* -1 (* z (- 1 (/ 1 z))))>
#<alt (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* 1/2 (/ z (pow y 2)))>
#<alt (/ (+ (* 1/2 z) (* 1/2 (* y z))) (pow y 2))>
#<alt (/ (+ (* 1/2 z) (* 1/2 (* y z))) (pow y 2))>
#<alt (/ (+ (* 1/2 z) (* 1/2 (* y z))) (pow y 2))>
#<alt (* 1/2 (/ z y))>
#<alt (/ (+ (* 1/2 z) (* 1/2 (/ z y))) y)>
#<alt (/ (+ (* 1/2 z) (* 1/2 (/ z y))) y)>
#<alt (/ (+ (* 1/2 z) (* 1/2 (/ z y))) y)>
#<alt (* 1/2 (/ z y))>
#<alt (* -1 (/ (+ (* -1/2 z) (* -1/2 (/ z y))) y))>
#<alt (* -1 (/ (+ (* -1/2 z) (* -1/2 (/ z y))) y))>
#<alt (* -1 (/ (+ (* -1/2 z) (* -1/2 (/ z y))) y))>
#<alt (* -1 (/ z y))>
#<alt (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))>
#<alt (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))>
#<alt (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))>
#<alt (* (pow z 2) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))>
#<alt (* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))>
#<alt (* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))>
#<alt (* (pow z 2) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))>
#<alt (* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))>
#<alt (* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))>
#<alt (* 1/2 (/ (pow z 2) (pow y 2)))>
#<alt (/ (+ (* 1/2 (pow z 2)) (* y (* z (- (* 1/2 z) 1)))) (pow y 2))>
#<alt (/ (+ (* 1/2 (pow z 2)) (* y (* z (- (* 1/2 z) 1)))) (pow y 2))>
#<alt (/ (+ (* 1/2 (pow z 2)) (* y (* z (- (* 1/2 z) 1)))) (pow y 2))>
#<alt (/ (* z (- (* 1/2 z) 1)) y)>
#<alt (/ (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1))) y)>
#<alt (/ (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1))) y)>
#<alt (/ (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1))) y)>
#<alt (* -1 (/ (* z (+ 1 (* -1/2 z))) y))>
#<alt (* -1 (/ (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) y))>
#<alt (* -1 (/ (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) y))>
#<alt (* -1 (/ (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) y))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ -1 y)>
#<alt (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))>
#<alt (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))>
#<alt (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))>
#<alt (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* z (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))>
#<alt (* z (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))>
#<alt (* z (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))>
#<alt (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* -1 (* z (+ (* -1 (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 (* y z)))))>
#<alt (* -1 (* z (+ (* -1 (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 (* y z)))))>
#<alt (* -1 (* z (+ (* -1 (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 (* y z)))))>
#<alt (* 1/2 (/ z (pow y 2)))>
#<alt (/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) (pow y 2))>
#<alt (/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) (pow y 2))>
#<alt (/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) (pow y 2))>
#<alt (/ (- (* 1/2 z) 1) y)>
#<alt (/ (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) y)>
#<alt (/ (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) y)>
#<alt (/ (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) y)>
#<alt (* -1 (/ (+ 1 (* -1/2 z)) y))>
#<alt (* -1 (/ (+ 1 (+ (* -1/2 z) (* -1/2 (/ z y)))) y))>
#<alt (* -1 (/ (+ 1 (+ (* -1/2 z) (* -1/2 (/ z y)))) y))>
#<alt (* -1 (/ (+ 1 (+ (* -1/2 z) (* -1/2 (/ z y)))) y))>
#<alt (/ (exp (neg z)) y)>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt x>
#<alt (* x (+ 1 (/ (exp (neg z)) (* x y))))>
#<alt (* x (+ 1 (/ (exp (neg z)) (* x y))))>
#<alt (* x (+ 1 (/ (exp (neg z)) (* x y))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (exp (neg z)) (* x y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (exp (neg z)) (* x y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (exp (neg z)) (* x y))) 1)))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y)))>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (+ x (/ (exp (* -1 z)) y))>
#<alt (+ x (/ (exp (* -1 z)) y))>
#<alt (+ x (/ (exp (* -1 z)) y))>
#<alt (+ x (/ (exp (* -1 z)) y))>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (+ (exp (neg z)) (* x y)) y)>
#<alt (/ (+ (exp (neg z)) (* x y)) y)>
#<alt (/ (+ (exp (neg z)) (* x y)) y)>
#<alt x>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt x>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (/ 1 y)>
#<alt (+ (* -1 (/ z y)) (/ 1 y))>
#<alt (+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y))>
#<alt (+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y))>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (* -1 z)) y)>
#<alt (/ (exp (* -1 z)) y)>
#<alt (/ (exp (* -1 z)) y)>
#<alt (/ (exp (* -1 z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* z (- (* 1/2 z) 1)))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))>
#<alt (exp (neg z))>
#<alt (exp (neg z))>
#<alt (exp (neg z))>
#<alt (exp (neg z))>
#<alt (exp (* -1 z))>
#<alt (exp (* -1 z))>
#<alt (exp (* -1 z))>
#<alt (exp (* -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 z)>
#<alt (* 1/2 (/ (pow z 2) (pow y 2)))>
#<alt (/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (* z (- (* 1/2 z) 1))))) (pow y 2))>
#<alt (/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (+ (* x y) (* z (- (* 1/2 z) 1)))))) (pow y 2))>
#<alt (/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (+ (* x y) (* z (- (* 1/2 z) 1)))))) (pow y 2))>
#<alt x>
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* 1/2 z) 1)) y)))>
#<alt (+ x (+ (* 1/2 (/ (pow z 2) (pow y 2))) (+ (/ 1 y) (/ (* z (- (* 1/2 z) 1)) y))))>
#<alt (+ x (+ (* 1/2 (/ (pow z 2) (pow y 2))) (+ (/ 1 y) (/ (* z (- (* 1/2 z) 1)) y))))>
#<alt x>
#<alt (+ x (* -1 (/ (- (* z (+ 1 (* -1/2 z))) 1) y)))>
#<alt (+ x (* -1 (/ (- (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) 1) y)))>
#<alt (+ x (* -1 (/ (- (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) 1) y)))>
#<alt (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))>
#<alt (+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))>
#<alt x>
#<alt (* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) x))))>
#<alt (* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) x))))>
#<alt (* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) x)) 1)))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))>
#<alt (* (pow z 2) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))>
#<alt (* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (+ (/ 1 (* y (pow z 2))) (/ x (pow z 2))))) (/ 1 (* y z))))>
#<alt (* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (+ (/ 1 (* y (pow z 2))) (/ x (pow z 2))))) (/ 1 (* y z))))>
#<alt (* (pow z 2) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))>
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))))>
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))))>
Calls

78 calls:

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

rewrite772.0ms (5.1%)

Algorithm
1×batch-egg-rewrite
Rules
5476×accelerator-lowering-fma.f32
5476×accelerator-lowering-fma.f64
4292×/-lowering-/.f32
4292×/-lowering-/.f64
3558×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024111
1186111
22047111
08548103
Stop Event
1×iter limit
1×node limit
Counts
14 → 522
Calls
Call 1
Inputs
(+ (/ 1 y) x)
(/ 1 y)
(+ x (/ (- 1 z) y))
(/ (- 1 z) y)
(- 1 z)
(* z (+ (/ 1/2 y) (/ (/ 1/2 y) y)))
(* z (+ (* z (+ (/ 1/2 y) (/ (/ 1/2 y) y))) (/ -1 y)))
(/ (/ 1/2 y) y)
(+ (* z (+ (/ 1/2 y) (/ (/ 1/2 y) y))) (/ -1 y))
(+ x (/ (exp (- 0 z)) y))
(/ (exp (- 0 z)) y)
(exp (- 0 z))
(- 0 z)
(+ (+ (/ 1 y) x) (* z (+ (* z (+ (/ 1/2 y) (/ (/ 1/2 y) y))) (/ -1 y))))
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (-.f64 (/.f64 #s(literal 1 binary64) y) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1 binary64) y) x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 #s(literal 1 binary64) y))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (-.f64 x (/.f64 #s(literal 1 binary64) y))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64) x)
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y) x)
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)) x)
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simplify831.0ms (5.5%)

Algorithm
1×egg-herbie
Rules
15166×accelerator-lowering-fma.f32
15166×accelerator-lowering-fma.f64
3650×*-lowering-*.f32
3650×*-lowering-*.f64
2532×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02012767
15632743
215582482
348432373
082032239
Stop Event
1×iter limit
1×node limit
Counts
312 → 312
Calls
Call 1
Inputs
(/ 1 y)
(/ (+ 1 (* x y)) y)
(/ (+ 1 (* x y)) y)
(/ (+ 1 (* x y)) y)
x
(+ x (/ 1 y))
(+ x (/ 1 y))
(+ x (/ 1 y))
x
(+ x (/ 1 y))
(+ x (/ 1 y))
(+ x (/ 1 y))
(/ 1 y)
(+ x (/ 1 y))
(+ x (/ 1 y))
(+ x (/ 1 y))
x
(* x (+ 1 (/ 1 (* x y))))
(* x (+ 1 (/ 1 (* x y))))
(* x (+ 1 (/ 1 (* x y))))
x
(* x (+ 1 (/ 1 (* x y))))
(* x (+ 1 (/ 1 (* x y))))
(* x (+ 1 (/ 1 (* x 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 y) (/ z y))
(- (+ x (/ 1 y)) (/ z y))
(- (+ x (/ 1 y)) (/ z y))
(- (+ x (/ 1 y)) (/ z y))
x
(* x (- (+ 1 (/ 1 (* x y))) (/ z (* x y))))
(* x (- (+ 1 (/ 1 (* x y))) (/ z (* x y))))
(* x (- (+ 1 (/ 1 (* x y))) (/ z (* x y))))
x
(* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ z y)) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ z y)) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ z y)) x)) 1)))
(+ x (/ 1 y))
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(* -1 (/ z y))
(* z (- (+ (/ 1 (* y z)) (/ x z)) (/ 1 y)))
(* z (- (+ (/ 1 (* y z)) (/ x z)) (/ 1 y)))
(* z (- (+ (/ 1 (* y z)) (/ x z)) (/ 1 y)))
(* -1 (/ z y))
(* -1 (* z (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y))))
(* -1 (* z (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y))))
(* -1 (* z (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y))))
(/ (- 1 z) y)
(/ (- (+ 1 (* x y)) z) y)
(/ (- (+ 1 (* x y)) z) y)
(/ (- (+ 1 (* x y)) z) y)
x
(- (+ x (/ 1 y)) (/ z y))
(- (+ x (/ 1 y)) (/ z y))
(- (+ x (/ 1 y)) (/ z y))
x
(- (+ x (/ 1 y)) (/ z y))
(- (+ x (/ 1 y)) (/ z y))
(- (+ x (/ 1 y)) (/ z y))
(/ 1 y)
(+ (* -1 (/ z y)) (/ 1 y))
(+ (* -1 (/ z y)) (/ 1 y))
(+ (* -1 (/ z y)) (/ 1 y))
(* -1 (/ z y))
(* z (- (/ 1 (* y z)) (/ 1 y)))
(* z (- (/ 1 (* y z)) (/ 1 y)))
(* z (- (/ 1 (* y z)) (/ 1 y)))
(* -1 (/ z y))
(* -1 (* z (- (/ 1 y) (/ 1 (* y z)))))
(* -1 (* z (- (/ 1 y) (/ 1 (* y z)))))
(* -1 (* z (- (/ 1 y) (/ 1 (* y z)))))
(/ (- 1 z) y)
(/ (- 1 z) y)
(/ (- 1 z) y)
(/ (- 1 z) y)
(/ (- 1 z) y)
(/ (- 1 z) y)
(/ (- 1 z) y)
(/ (- 1 z) y)
(/ (- 1 z) y)
(/ (- 1 z) y)
(/ (- 1 z) y)
(/ (- 1 z) y)
1
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(* -1 z)
(* z (- (/ 1 z) 1))
(* z (- (/ 1 z) 1))
(* z (- (/ 1 z) 1))
(* -1 z)
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (- 1 (/ 1 z))))
(* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))
(* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))
(* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))
(* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))
(* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))
(* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))
(* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))
(* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))
(* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))
(* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))
(* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))
(* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))
(* 1/2 (/ z (pow y 2)))
(/ (+ (* 1/2 z) (* 1/2 (* y z))) (pow y 2))
(/ (+ (* 1/2 z) (* 1/2 (* y z))) (pow y 2))
(/ (+ (* 1/2 z) (* 1/2 (* y z))) (pow y 2))
(* 1/2 (/ z y))
(/ (+ (* 1/2 z) (* 1/2 (/ z y))) y)
(/ (+ (* 1/2 z) (* 1/2 (/ z y))) y)
(/ (+ (* 1/2 z) (* 1/2 (/ z y))) y)
(* 1/2 (/ z y))
(* -1 (/ (+ (* -1/2 z) (* -1/2 (/ z y))) y))
(* -1 (/ (+ (* -1/2 z) (* -1/2 (/ z y))) y))
(* -1 (/ (+ (* -1/2 z) (* -1/2 (/ z y))) y))
(* -1 (/ z y))
(* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))
(* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))
(* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))
(* (pow z 2) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))
(* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))
(* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))
(* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))
(* (pow z 2) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))
(* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))
(* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))
(* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))
(* 1/2 (/ (pow z 2) (pow y 2)))
(/ (+ (* 1/2 (pow z 2)) (* y (* z (- (* 1/2 z) 1)))) (pow y 2))
(/ (+ (* 1/2 (pow z 2)) (* y (* z (- (* 1/2 z) 1)))) (pow y 2))
(/ (+ (* 1/2 (pow z 2)) (* y (* z (- (* 1/2 z) 1)))) (pow y 2))
(/ (* z (- (* 1/2 z) 1)) y)
(/ (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1))) y)
(/ (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1))) y)
(/ (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1))) y)
(* -1 (/ (* z (+ 1 (* -1/2 z))) y))
(* -1 (/ (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) y))
(* -1 (/ (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) y))
(* -1 (/ (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) y))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ -1 y)
(- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))
(- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))
(- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))
(* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))
(* z (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))
(* z (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))
(* z (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))
(* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))
(* -1 (* z (+ (* -1 (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 (* y z)))))
(* -1 (* z (+ (* -1 (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 (* y z)))))
(* -1 (* z (+ (* -1 (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 (* y z)))))
(* 1/2 (/ z (pow y 2)))
(/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) (pow y 2))
(/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) (pow y 2))
(/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) (pow y 2))
(/ (- (* 1/2 z) 1) y)
(/ (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) y)
(/ (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) y)
(/ (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) y)
(* -1 (/ (+ 1 (* -1/2 z)) y))
(* -1 (/ (+ 1 (+ (* -1/2 z) (* -1/2 (/ z y)))) y))
(* -1 (/ (+ 1 (+ (* -1/2 z) (* -1/2 (/ z y)))) y))
(* -1 (/ (+ 1 (+ (* -1/2 z) (* -1/2 (/ z y)))) y))
(/ (exp (neg z)) y)
(+ x (/ (exp (neg z)) y))
(+ x (/ (exp (neg z)) y))
(+ x (/ (exp (neg z)) y))
x
(* x (+ 1 (/ (exp (neg z)) (* x y))))
(* x (+ 1 (/ (exp (neg z)) (* x y))))
(* x (+ 1 (/ (exp (neg z)) (* x y))))
x
(* -1 (* x (- (* -1 (/ (exp (neg z)) (* x y))) 1)))
(* -1 (* x (- (* -1 (/ (exp (neg z)) (* x y))) 1)))
(* -1 (* x (- (* -1 (/ (exp (neg z)) (* x y))) 1)))
(+ x (/ 1 y))
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+ x (+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y)))
(+ x (+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y)))
(+ x (/ (exp (neg z)) y))
(+ x (/ (exp (neg z)) y))
(+ x (/ (exp (neg z)) y))
(+ x (/ (exp (neg z)) y))
(+ x (/ (exp (* -1 z)) y))
(+ x (/ (exp (* -1 z)) y))
(+ x (/ (exp (* -1 z)) y))
(+ x (/ (exp (* -1 z)) y))
(/ (exp (neg z)) y)
(/ (+ (exp (neg z)) (* x y)) y)
(/ (+ (exp (neg z)) (* x y)) y)
(/ (+ (exp (neg z)) (* x y)) y)
x
(+ x (/ (exp (neg z)) y))
(+ x (/ (exp (neg z)) y))
(+ x (/ (exp (neg z)) y))
x
(+ x (/ (exp (neg z)) y))
(+ x (/ (exp (neg z)) y))
(+ x (/ (exp (neg z)) y))
(/ 1 y)
(+ (* -1 (/ z y)) (/ 1 y))
(+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y))
(+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y))
(/ (exp (neg z)) y)
(/ (exp (neg z)) y)
(/ (exp (neg z)) y)
(/ (exp (neg z)) y)
(/ (exp (* -1 z)) y)
(/ (exp (* -1 z)) y)
(/ (exp (* -1 z)) y)
(/ (exp (* -1 z)) y)
(/ (exp (neg z)) y)
(/ (exp (neg z)) y)
(/ (exp (neg z)) y)
(/ (exp (neg z)) y)
(/ (exp (neg z)) y)
(/ (exp (neg z)) y)
(/ (exp (neg z)) y)
(/ (exp (neg z)) y)
(/ (exp (neg z)) y)
(/ (exp (neg z)) y)
(/ (exp (neg z)) y)
(/ (exp (neg z)) y)
1
(+ 1 (* -1 z))
(+ 1 (* z (- (* 1/2 z) 1)))
(+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))
(exp (neg z))
(exp (neg z))
(exp (neg z))
(exp (neg z))
(exp (* -1 z))
(exp (* -1 z))
(exp (* -1 z))
(exp (* -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 z)
(* 1/2 (/ (pow z 2) (pow y 2)))
(/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (* z (- (* 1/2 z) 1))))) (pow y 2))
(/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (+ (* x y) (* z (- (* 1/2 z) 1)))))) (pow y 2))
(/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (+ (* x y) (* z (- (* 1/2 z) 1)))))) (pow y 2))
x
(+ x (+ (/ 1 y) (/ (* z (- (* 1/2 z) 1)) y)))
(+ x (+ (* 1/2 (/ (pow z 2) (pow y 2))) (+ (/ 1 y) (/ (* z (- (* 1/2 z) 1)) y))))
(+ x (+ (* 1/2 (/ (pow z 2) (pow y 2))) (+ (/ 1 y) (/ (* z (- (* 1/2 z) 1)) y))))
x
(+ x (* -1 (/ (- (* z (+ 1 (* -1/2 z))) 1) y)))
(+ x (* -1 (/ (- (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) 1) y)))
(+ x (* -1 (/ (- (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) 1) y)))
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))
x
(* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) x))))
(* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) x))))
(* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) x))))
x
(* -1 (* x (- (* -1 (/ (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) x)) 1)))
(+ x (/ 1 y))
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))
(* (pow z 2) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))
(* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))
(* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (+ (/ 1 (* y (pow z 2))) (/ x (pow z 2))))) (/ 1 (* y z))))
(* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (+ (/ 1 (* y (pow z 2))) (/ x (pow z 2))))) (/ 1 (* y z))))
(* (pow z 2) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))
(* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))))
Outputs
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 (* x y)) y)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) y)
(/ (+ 1 (* x y)) y)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) y)
(/ (+ 1 (* x y)) y)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) y)
x
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
x
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
x
(* x (+ 1 (/ 1 (* x y))))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(* x (+ 1 (/ 1 (* x y))))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(* x (+ 1 (/ 1 (* x y))))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
x
(* x (+ 1 (/ 1 (* x y))))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(* x (+ 1 (/ 1 (* x y))))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(* x (+ 1 (/ 1 (* x y))))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(/ 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) (/ z y))
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(- (+ x (/ 1 y)) (/ z y))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(- (+ x (/ 1 y)) (/ z y))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(- (+ x (/ 1 y)) (/ z y))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
x
(* x (- (+ 1 (/ 1 (* x y))) (/ z (* x y))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x)))
(* x (- (+ 1 (/ 1 (* x y))) (/ z (* x y))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x)))
(* x (- (+ 1 (/ 1 (* x y))) (/ z (* x y))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x)))
x
(* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ z y)) x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x)))
(* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ z y)) x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x)))
(* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ z y)) x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x)))
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(* -1 (/ z y))
(-.f64 #s(literal 0 binary64) (/.f64 z y))
(* z (- (+ (/ 1 (* y z)) (/ x z)) (/ 1 y)))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) (*.f64 z (/.f64 x z)))
(* z (- (+ (/ 1 (* y z)) (/ x z)) (/ 1 y)))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) (*.f64 z (/.f64 x z)))
(* z (- (+ (/ 1 (* y z)) (/ x z)) (/ 1 y)))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) (*.f64 z (/.f64 x z)))
(* -1 (/ z y))
(-.f64 #s(literal 0 binary64) (/.f64 z y))
(* -1 (* z (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y))))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(* -1 (* z (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y))))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(* -1 (* z (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y))))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(/ (- 1 z) y)
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(/ (- (+ 1 (* x y)) z) y)
(/.f64 (+.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) z)) y)
(/ (- (+ 1 (* x y)) z) y)
(/.f64 (+.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) z)) y)
(/ (- (+ 1 (* x y)) z) y)
(/.f64 (+.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) z)) y)
x
(- (+ x (/ 1 y)) (/ z y))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(- (+ x (/ 1 y)) (/ z y))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(- (+ x (/ 1 y)) (/ z y))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
x
(- (+ x (/ 1 y)) (/ z y))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(- (+ x (/ 1 y)) (/ z y))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(- (+ x (/ 1 y)) (/ z y))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -1 (/ z y)) (/ 1 y))
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(+ (* -1 (/ z y)) (/ 1 y))
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(+ (* -1 (/ z y)) (/ 1 y))
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(* -1 (/ z y))
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(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 z)))
(+ x (/ (exp (neg z)) y))
(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 z)))
x
(+ x (/ (exp (neg z)) y))
(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 z)))
(+ x (/ (exp (neg z)) y))
(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 z)))
(+ x (/ (exp (neg z)) y))
(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 z)))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -1 (/ z y)) (/ 1 y))
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z #s(literal -1/2 binary64))))) y)
(+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) (*.f64 z (*.f64 (/.f64 z y) (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))
(/ (exp (neg z)) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 z))
(/ (exp (neg z)) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 z))
(/ (exp (neg z)) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 z))
(/ (exp (neg z)) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 z))
(/ (exp (* -1 z)) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 z))
(/ (exp (* -1 z)) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 z))
(/ (exp (* -1 z)) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 z))
(/ (exp (* -1 z)) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 z))
(/ (exp (neg z)) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 z))
(/ (exp (neg z)) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 z))
(/ (exp (neg z)) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 z))
(/ (exp (neg z)) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 z))
(/ (exp (neg z)) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 z))
(/ (exp (neg z)) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 z))
(/ (exp (neg z)) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 z))
(/ (exp (neg z)) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 z))
(/ (exp (neg z)) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 z))
(/ (exp (neg z)) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 z))
(/ (exp (neg z)) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 z))
(/ (exp (neg z)) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 z))
1
#s(literal 1 binary64)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(+ 1 (* z (- (* 1/2 z) 1)))
(-.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z #s(literal -1/2 binary64)))))
(+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64)))))))
(exp (neg z))
(exp.f64 (-.f64 #s(literal 0 binary64) z))
(exp (neg z))
(exp.f64 (-.f64 #s(literal 0 binary64) z))
(exp (neg z))
(exp.f64 (-.f64 #s(literal 0 binary64) z))
(exp (neg z))
(exp.f64 (-.f64 #s(literal 0 binary64) z))
(exp (* -1 z))
(exp.f64 (-.f64 #s(literal 0 binary64) z))
(exp (* -1 z))
(exp.f64 (-.f64 #s(literal 0 binary64) z))
(exp (* -1 z))
(exp.f64 (-.f64 #s(literal 0 binary64) z))
(exp (* -1 z))
(exp.f64 (-.f64 #s(literal 0 binary64) z))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* 1/2 (/ (pow z 2) (pow y 2)))
(/.f64 (*.f64 z (*.f64 z #s(literal 1/2 binary64))) (*.f64 y y))
(/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (* z (- (* 1/2 z) 1))))) (pow y 2))
(/.f64 (+.f64 y (*.f64 z (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z #s(literal 1/2 binary64))) y))) (*.f64 y y))
(/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (+ (* x y) (* z (- (* 1/2 z) 1)))))) (pow y 2))
(/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z #s(literal 1/2 binary64))) y)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y x)))) (*.f64 y y))
(/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (+ (* x y) (* z (- (* 1/2 z) 1)))))) (pow y 2))
(/.f64 (+.f64 (*.f64 z (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z #s(literal 1/2 binary64))) y)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y x)))) (*.f64 y y))
x
(+ x (+ (/ 1 y) (/ (* z (- (* 1/2 z) 1)) y)))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z #s(literal -1/2 binary64))))) y))
(+ x (+ (* 1/2 (/ (pow z 2) (pow y 2))) (+ (/ 1 y) (/ (* z (- (* 1/2 z) 1)) y))))
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))))) y))
(+ x (+ (* 1/2 (/ (pow z 2) (pow y 2))) (+ (/ 1 y) (/ (* z (- (* 1/2 z) 1)) y))))
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))))) y))
x
(+ x (* -1 (/ (- (* z (+ 1 (* -1/2 z))) 1) y)))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z #s(literal -1/2 binary64))))) y))
(+ x (* -1 (/ (- (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) 1) y)))
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))))) y))
(+ x (* -1 (/ (- (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) 1) y)))
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))))) y))
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))))) y)
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))))) y))
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))))) y))
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))))) y))
x
(* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) x))))
(+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))) y)) x))))
(* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) x))))
(+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))) y)) x))))
(* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) x))))
(+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))) y)) x))))
x
(* -1 (* x (- (* -1 (/ (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))))) y) x)))
(* -1 (* x (- (* -1 (/ (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))))) y) x)))
(* -1 (* x (- (* -1 (/ (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))))) y) x)))
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))))) y))
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))))) y))
(* (pow z 2) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))
(*.f64 (*.f64 z (/.f64 z y)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))
(*.f64 z (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))) y))
(* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (+ (/ 1 (* y (pow z 2))) (/ x (pow z 2))))) (/ 1 (* y z))))
(*.f64 z (+.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 z (+.f64 (/.f64 (/.f64 x z) z) (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y z)))))))
(* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (+ (/ 1 (* y (pow z 2))) (/ x (pow z 2))))) (/ 1 (* y z))))
(*.f64 z (+.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 z (+.f64 (/.f64 (/.f64 x z) z) (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y z)))))))
(* (pow z 2) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))
(*.f64 (*.f64 z (/.f64 z y)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))
(*.f64 z (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))) y))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))))
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))))) y))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))))
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))))) y))

eval217.0ms (1.4%)

Compiler

Compiled 22631 to 14176 computations (37.4% saved)

prune195.0ms (1.3%)

Pruning

19 alts after pruning (17 fresh and 2 done)

PrunedKeptTotal
New89615911
Fresh325
Picked325
Done000
Total90219921
Accuracy
100.0%
Counts
921 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.1%
(/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 z))
▶54.5%
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) y) x))
29.4%
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
▶32.1%
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)))))
▶79.8%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) y)
54.4%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x x))))
▶39.8%
(/.f64 #s(literal 1 binary64) y)
✓88.2%
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
69.9%
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 (/.f64 z y) (+.f64 #s(literal -1 binary64) (*.f64 z #s(literal 1/2 binary64)))))
47.9%
(+.f64 x (/.f64 (pow.f64 (/.f64 y z) y) y))
72.4%
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z #s(literal -1/2 binary64))))) y))
71.3%
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))) y))
71.1%
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) z))))
70.7%
(+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) (*.f64 z (*.f64 (/.f64 z y) (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64)))))))
71.1%
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) z)))
32.0%
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y))))))
▶4.4%
(*.f64 (*.f64 z (/.f64 z y)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))
4.3%
(*.f64 z (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))) y))
✓50.8%
x
Compiler

Compiled 562 to 395 computations (29.7% saved)

localize855.0ms (5.6%)

Algorithm
1×egg-herbie
Localize:

Found 32 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 x (*.f64 x x))
✓cost-diff0
(+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))
✓cost-diff0
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) y)
✓cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) y) y)
✓cost-diff0
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x x))
✓cost-diff0
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) y) x))
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))
✓cost-diff0
(/.f64 z y)
✓cost-diff0
(*.f64 z (/.f64 z y))
✓cost-diff0
(*.f64 (*.f64 z (/.f64 z y)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) y)
✓cost-diff0
(*.f64 y x)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 y x))
✓cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) y)
✓accuracy98.5%
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))
✓accuracy97.1%
(+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))
✓accuracy96.9%
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y))))
✓accuracy36.8%
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)))))
✓accuracy100.0%
(-.f64 (/.f64 #s(literal 1 binary64) y) x)
✓accuracy99.8%
(/.f64 (/.f64 #s(literal 1 binary64) y) y)
✓accuracy94.6%
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x x))
✓accuracy60.4%
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) y) x))
✓accuracy100.0%
(/.f64 #s(literal 1/2 binary64) y)
✓accuracy100.0%
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))
✓accuracy99.8%
(*.f64 z (/.f64 z y))
✓accuracy96.8%
(*.f64 (*.f64 z (/.f64 z y)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 y x))
✓accuracy100.0%
(*.f64 y x)
✓accuracy84.9%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) y)
Rules
6602×accelerator-lowering-fma.f32
6602×accelerator-lowering-fma.f64
4402×*-lowering-*.f32
4402×*-lowering-*.f64
2238×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028158
166158
2138158
3253158
4413158
5798158
61440158
72489158
85191158
08115153
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (+ 1 (* y x)) y)
(+ 1 (* y x))
1
(* y x)
y
x
(/ 1 y)
(* (* z (/ z y)) (+ 1/2 (/ 1/2 y)))
(* z (/ z y))
z
(/ z y)
(+ 1/2 (/ 1/2 y))
1/2
(/ 1/2 y)
(/ (- (/ (/ 1 y) y) (* x x)) (- (/ 1 y) x))
(- (/ (/ 1 y) y) (* x x))
(/ (/ 1 y) y)
(* x x)
(- (/ 1 y) x)
(/ (+ (* x (* x x)) (/ 1 (* y (* y y)))) (+ (/ (/ 1 y) y) (* x (- x (/ 1 y)))))
(+ (* x (* x x)) (/ 1 (* y (* y y))))
(* x (* x x))
(/ 1 (* y (* y y)))
(* y (* y y))
(* y y)
(+ (/ (/ 1 y) y) (* x (- x (/ 1 y))))
(* x (- x (/ 1 y)))
(- x (/ 1 y))
Outputs
(/ (+ 1 (* y x)) y)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) y)
(+ 1 (* y x))
(+.f64 #s(literal 1 binary64) (*.f64 y x))
1
#s(literal 1 binary64)
(* y x)
(*.f64 y x)
y
x
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(* (* z (/ z y)) (+ 1/2 (/ 1/2 y)))
(*.f64 (/.f64 (*.f64 z z) y) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(* z (/ z y))
(/.f64 (*.f64 z z) y)
z
(/ z y)
(/.f64 z y)
(+ 1/2 (/ 1/2 y))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))
1/2
#s(literal 1/2 binary64)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ (- (/ (/ 1 y) y) (* x x)) (- (/ 1 y) x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) y) x))
(- (/ (/ 1 y) y) (* x x))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))
(/ (/ 1 y) y)
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(* x x)
(*.f64 x x)
(- (/ 1 y) x)
(-.f64 (/.f64 #s(literal 1 binary64) y) x)
(/ (+ (* x (* x x)) (/ 1 (* y (* y y)))) (+ (/ (/ 1 y) y) (* x (- x (/ 1 y)))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x (+.f64 x (/.f64 #s(literal -1 binary64) y)))))
(+ (* x (* x x)) (/ 1 (* y (* y y))))
(+.f64 (*.f64 x (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)))
(* x (* x x))
(*.f64 x (*.f64 x x))
(/ 1 (* y (* y y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))
(* y (* y y))
(*.f64 y (*.f64 y y))
(* y y)
(*.f64 y y)
(+ (/ (/ 1 y) y) (* x (- x (/ 1 y))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x (+.f64 x (/.f64 #s(literal -1 binary64) y))))
(* x (- x (/ 1 y)))
(*.f64 x (+.f64 x (/.f64 #s(literal -1 binary64) y)))
(- x (/ 1 y))
(+.f64 x (/.f64 #s(literal -1 binary64) y))
Results
152.0ms256×0valid
Compiler

Compiled 199 to 91 computations (54.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 110.0ms
ival-div: 66.0ms (60% of total)
ival-mult: 21.0ms (19.1% of total)
ival-sub: 10.0ms (9.1% of total)
ival-add: 10.0ms (9.1% of total)
const: 3.0ms (2.7% of total)
backward-pass: 0.0ms (0% of total)

series42.0ms (0.3%)

Counts
19 → 372
Calls
Call 1
Inputs
#<alt (/ (+ 1 (* y x)) y)>
#<alt (* y x)>
#<alt (+ 1 (* y x))>
#<alt (/ 1 y)>
#<alt (* (* z (/ z y)) (+ 1/2 (/ 1/2 y)))>
#<alt (* z (/ z y))>
#<alt (+ 1/2 (/ 1/2 y))>
#<alt (/ 1/2 y)>
#<alt (/ (- (/ (/ 1 y) y) (* x x)) (- (/ 1 y) x))>
#<alt (- (/ (/ 1 y) y) (* x x))>
#<alt (/ (/ 1 y) y)>
#<alt (- (/ 1 y) x)>
#<alt (/ (+ (* x (* x x)) (/ 1 (* y (* y y)))) (+ (/ (/ 1 y) y) (* x (- x (/ 1 y)))))>
#<alt (+ (/ (/ 1 y) y) (* x (- x (/ 1 y))))>
#<alt (+ (* x (* x x)) (/ 1 (* y (* y y))))>
#<alt (/ 1 (* y (* y y)))>
#<alt (/ z y)>
#<alt (* x (* x x))>
#<alt (* x x)>
Outputs
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* x y)) y)>
#<alt (/ (+ 1 (* x y)) y)>
#<alt (/ (+ 1 (* x y)) y)>
#<alt x>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt x>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (/ 1 y)>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt x>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt x>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 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 (* x y))>
#<alt (+ 1 (* x y))>
#<alt (+ 1 (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (/ 1 y)))>
#<alt (* y (+ x (/ 1 y)))>
#<alt (* y (+ x (/ 1 y)))>
#<alt (* x y)>
#<alt (* -1 (* y (- (* -1 x) (/ 1 y))))>
#<alt (* -1 (* y (- (* -1 x) (/ 1 y))))>
#<alt (* -1 (* y (- (* -1 x) (/ 1 y))))>
#<alt 1>
#<alt (+ 1 (* x y))>
#<alt (+ 1 (* x y))>
#<alt (+ 1 (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (/ 1 x)))>
#<alt (* x (+ y (/ 1 x)))>
#<alt (* x (+ y (/ 1 x)))>
#<alt (* x y)>
#<alt (* -1 (* x (- (* -1 y) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 y) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 y) (/ 1 x))))>
#<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 (/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y)>
#<alt (/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y)>
#<alt (/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y)>
#<alt (/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y)>
#<alt (/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y)>
#<alt (/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y)>
#<alt (/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y)>
#<alt (/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y)>
#<alt (/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y)>
#<alt (/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y)>
#<alt (/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y)>
#<alt (/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y)>
#<alt (* 1/2 (/ (pow z 2) (pow y 2)))>
#<alt (/ (+ (* 1/2 (* y (pow z 2))) (* 1/2 (pow z 2))) (pow y 2))>
#<alt (/ (+ (* 1/2 (* y (pow z 2))) (* 1/2 (pow z 2))) (pow y 2))>
#<alt (/ (+ (* 1/2 (* y (pow z 2))) (* 1/2 (pow z 2))) (pow y 2))>
#<alt (* 1/2 (/ (pow z 2) y))>
#<alt (/ (+ (* 1/2 (/ (pow z 2) y)) (* 1/2 (pow z 2))) y)>
#<alt (/ (+ (* 1/2 (/ (pow z 2) y)) (* 1/2 (pow z 2))) y)>
#<alt (/ (+ (* 1/2 (/ (pow z 2) y)) (* 1/2 (pow z 2))) y)>
#<alt (* 1/2 (/ (pow z 2) y))>
#<alt (* -1 (/ (+ (* -1/2 (/ (pow z 2) y)) (* -1/2 (pow z 2))) y))>
#<alt (* -1 (/ (+ (* -1/2 (/ (pow z 2) y)) (* -1/2 (pow z 2))) y))>
#<alt (* -1 (/ (+ (* -1/2 (/ (pow z 2) y)) (* -1/2 (pow z 2))) y))>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ 1/2 y)>
#<alt (/ (+ 1/2 (* 1/2 y)) y)>
#<alt (/ (+ 1/2 (* 1/2 y)) y)>
#<alt (/ (+ 1/2 (* 1/2 y)) y)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ 1 y)))>
#<alt (+ 1/2 (* 1/2 (/ 1 y)))>
#<alt (+ 1/2 (* 1/2 (/ 1 y)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ 1 y)))>
#<alt (+ 1/2 (* 1/2 (/ 1 y)))>
#<alt (+ 1/2 (* 1/2 (/ 1 y)))>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* x y)) y)>
#<alt (/ (+ 1 (* x y)) y)>
#<alt (/ (+ 1 (* x y)) y)>
#<alt x>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt x>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (/ 1 y)>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt x>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt x>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (/ 1 (pow y 2))>
#<alt (/ (+ 1 (* -1 (* (pow x 2) (pow y 2)))) (pow y 2))>
#<alt (/ (+ 1 (* -1 (* (pow x 2) (pow y 2)))) (pow y 2))>
#<alt (/ (+ 1 (* -1 (* (pow x 2) (pow y 2)))) (pow y 2))>
#<alt (* -1 (pow x 2))>
#<alt (- (/ 1 (pow y 2)) (pow x 2))>
#<alt (- (/ 1 (pow y 2)) (pow x 2))>
#<alt (- (/ 1 (pow y 2)) (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (- (/ 1 (pow y 2)) (pow x 2))>
#<alt (- (/ 1 (pow y 2)) (pow x 2))>
#<alt (- (/ 1 (pow y 2)) (pow x 2))>
#<alt (/ 1 (pow y 2))>
#<alt (+ (* -1 (pow x 2)) (/ 1 (pow y 2)))>
#<alt (+ (* -1 (pow x 2)) (/ 1 (pow y 2)))>
#<alt (+ (* -1 (pow x 2)) (/ 1 (pow y 2)))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1))>
#<alt (* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1))>
#<alt (* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1))>
#<alt (* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1))>
#<alt (* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* -1 (* x y))) y)>
#<alt (/ (+ 1 (* -1 (* x y))) y)>
#<alt (/ (+ 1 (* -1 (* x y))) y)>
#<alt (* -1 x)>
#<alt (- (/ 1 y) x)>
#<alt (- (/ 1 y) x)>
#<alt (- (/ 1 y) x)>
#<alt (* -1 x)>
#<alt (- (/ 1 y) x)>
#<alt (- (/ 1 y) x)>
#<alt (- (/ 1 y) x)>
#<alt (/ 1 y)>
#<alt (+ (* -1 x) (/ 1 y))>
#<alt (+ (* -1 x) (/ 1 y))>
#<alt (+ (* -1 x) (/ 1 y))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 (* x y)) 1))>
#<alt (* x (- (/ 1 (* x y)) 1))>
#<alt (* x (- (/ 1 (* x y)) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 (* x y)))))>
#<alt (* -1 (* x (- 1 (/ 1 (* x y)))))>
#<alt (* -1 (* x (- 1 (/ 1 (* x y)))))>
#<alt (/ 1 y)>
#<alt (+ x (/ 1 y))>
#<alt (+ (* x (+ 1 (* -1 (* x (+ y (* -1 y)))))) (/ 1 y))>
#<alt (+ (* x (+ 1 (* x (- (* -1 (* x (* y (+ y (* -1 y))))) (+ y (* -1 y)))))) (/ 1 y))>
#<alt x>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt x>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* x y)) y)>
#<alt (/ (+ 1 (* y (- (* -1 (* y (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x)))) y)>
#<alt (/ (+ 1 (* y (- (* y (- (* -1 (* x (* y (+ (* -1 (pow x 2)) (pow x 2))))) (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x)))) y)>
#<alt x>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt x>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (/ 1 (pow y 2))>
#<alt (/ (+ 1 (* -1 (* x y))) (pow y 2))>
#<alt (/ (+ 1 (* y (+ (* -1 x) (* (pow x 2) y)))) (pow y 2))>
#<alt (/ (+ 1 (* y (+ (* -1 x) (* (pow x 2) y)))) (pow y 2))>
#<alt (pow x 2)>
#<alt (+ (* -1 (/ x y)) (pow x 2))>
#<alt (+ (* -1 (/ x y)) (+ (/ 1 (pow y 2)) (pow x 2)))>
#<alt (+ (* -1 (/ x y)) (+ (/ 1 (pow y 2)) (pow x 2)))>
#<alt (pow x 2)>
#<alt (+ (* -1 (/ x y)) (pow x 2))>
#<alt (+ (* -1 (/ (- x (/ 1 y)) y)) (pow x 2))>
#<alt (+ (* -1 (/ (- x (/ 1 y)) y)) (pow x 2))>
#<alt (/ 1 (pow y 2))>
#<alt (+ (* -1 (/ x y)) (/ 1 (pow y 2)))>
#<alt (+ (* x (- x (/ 1 y))) (/ 1 (pow y 2)))>
#<alt (+ (* x (- x (/ 1 y))) (/ 1 (pow y 2)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (* x y))))>
#<alt (* (pow x 2) (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y))))>
#<alt (* (pow x 2) (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (* x y))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x))))>
#<alt (/ 1 (pow y 3))>
#<alt (+ (/ 1 (pow y 3)) (pow x 3))>
#<alt (+ (/ 1 (pow y 3)) (pow x 3))>
#<alt (+ (/ 1 (pow y 3)) (pow x 3))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ 1 (* (pow x 3) (pow y 3)))))>
#<alt (* (pow x 3) (+ 1 (/ 1 (* (pow x 3) (pow y 3)))))>
#<alt (* (pow x 3) (+ 1 (/ 1 (* (pow x 3) (pow y 3)))))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ 1 (* (pow x 3) (pow y 3)))))>
#<alt (* (pow x 3) (+ 1 (/ 1 (* (pow x 3) (pow y 3)))))>
#<alt (* (pow x 3) (+ 1 (/ 1 (* (pow x 3) (pow y 3)))))>
#<alt (/ 1 (pow y 3))>
#<alt (/ (+ 1 (* (pow x 3) (pow y 3))) (pow y 3))>
#<alt (/ (+ 1 (* (pow x 3) (pow y 3))) (pow y 3))>
#<alt (/ (+ 1 (* (pow x 3) (pow y 3))) (pow y 3))>
#<alt (pow x 3)>
#<alt (+ (/ 1 (pow y 3)) (pow x 3))>
#<alt (+ (/ 1 (pow y 3)) (pow x 3))>
#<alt (+ (/ 1 (pow y 3)) (pow x 3))>
#<alt (pow x 3)>
#<alt (+ (/ 1 (pow y 3)) (pow x 3))>
#<alt (+ (/ 1 (pow y 3)) (pow x 3))>
#<alt (+ (/ 1 (pow y 3)) (pow x 3))>
#<alt (/ 1 (pow y 3))>
#<alt (/ 1 (pow y 3))>
#<alt (/ 1 (pow y 3))>
#<alt (/ 1 (pow y 3))>
#<alt (/ 1 (pow y 3))>
#<alt (/ 1 (pow y 3))>
#<alt (/ 1 (pow y 3))>
#<alt (/ 1 (pow y 3))>
#<alt (/ 1 (pow y 3))>
#<alt (/ 1 (pow y 3))>
#<alt (/ 1 (pow y 3))>
#<alt (/ 1 (pow y 3))>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
Calls

93 calls:

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

rewrite1.0s (6.9%)

Algorithm
1×batch-egg-rewrite
Rules
6888×accelerator-lowering-fma.f32
6888×accelerator-lowering-fma.f64
5446×/-lowering-/.f32
5446×/-lowering-/.f64
4818×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028135
1195111
21787111
08946107
Stop Event
1×iter limit
1×node limit
Counts
19 → 845
Calls
Call 1
Inputs
(/ (+ 1 (* y x)) y)
(* y x)
(+ 1 (* y x))
(/ 1 y)
(* (* z (/ z y)) (+ 1/2 (/ 1/2 y)))
(* z (/ z y))
(+ 1/2 (/ 1/2 y))
(/ 1/2 y)
(/ (- (/ (/ 1 y) y) (* x x)) (- (/ 1 y) x))
(- (/ (/ 1 y) y) (* x x))
(/ (/ 1 y) y)
(- (/ 1 y) x)
(/ (+ (* x (* x x)) (/ 1 (* y (* y y)))) (+ (/ (/ 1 y) y) (* x (- x (/ 1 y)))))
(+ (/ (/ 1 y) y) (* x (- x (/ 1 y))))
(+ (* x (* x x)) (/ 1 (* y (* y y))))
(/ 1 (* y (* y y)))
(/ z y)
(* x (* x x))
(* x x)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y x)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) (neg.f64 y)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y x))) y) (/.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 #s(literal 1 binary64) (*.f64 y x))) y))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y x)))) (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y x)))))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) (neg.f64 y)))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y x))) y))
(/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y x))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) y)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y x))) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y x))) (neg.f64 y))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 y x)))) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y x))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(literal 1 binary64)))) y))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(literal 1 binary64)))) (neg.f64 y)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 y x)))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) y))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 y x)))) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) (neg.f64 y)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y x)))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x)))))) (neg.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 y x))))) (neg.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y x)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)) y)
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (/.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 y x)))) (/.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (*.f64 y x)))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(literal 1 binary64)))) y)))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) #s(literal -1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(literal 1 binary64)))) (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 y x)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) y)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 y x)))) #s(literal -1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) (neg.f64 y))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y x))))) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal -1 binary64))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (/.f64 #s(literal 1 binary64) y))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 y x)))) (/.f64 #s(literal 1 binary64) y))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x))))
(pow.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) y))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) y) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 y x)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y x))) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y x))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(literal 1 binary64))))))
(*.f64 (pow.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 y x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y x))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) y) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(literal 1 binary64))))) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 y x)))) y) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y x))) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal 1 binary64) (*.f64 y x))
(*.f64 y x)
(*.f64 x y)
(*.f64 (*.f64 y x) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) y) x)
(*.f64 (*.f64 #s(literal 1 binary64) x) y)
(+.f64 #s(literal 1 binary64) (*.f64 y x))
(+.f64 (*.f64 y x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y x))) (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 #s(literal 1 binary64) (*.f64 y x))))
(-.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 y x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) #s(literal 1 binary64))
(fma.f64 y x #s(literal 1 binary64))
(fma.f64 x y #s(literal 1 binary64))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) y) x #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) x) y #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 y x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 y x)))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (+.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 #s(literal 1 binary64) (*.f64 y x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 y x)))) (-.f64 #s(literal 1 binary64) (*.f64 y x)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x)))))) (neg.f64 (+.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 #s(literal 1 binary64) (*.f64 y x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 y x))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x))))
(/.f64 (-.f64 (*.f64 y (*.f64 x (*.f64 y x))) #s(literal 1 binary64)) (-.f64 (*.f64 y x) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 y (*.f64 x (*.f64 y x))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) (-.f64 #s(literal 1 binary64) (*.f64 y x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 y x)))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 y (*.f64 x (*.f64 y x))) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 y x) #s(literal 1 binary64))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 y x))))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(literal 1 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 y x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y x))))
(exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)))
(neg.f64 (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 y))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 y))))
(pow.f64 y #s(literal -1 binary64))
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (neg.f64 y)) #s(literal -1 binary64))
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 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 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
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(+.f64 (/.f64 (*.f64 (/.f64 z y) (*.f64 z #s(literal 1/2 binary64))) y) (*.f64 (/.f64 z y) (*.f64 z #s(literal 1/2 binary64))))
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(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 z (/.f64 y z)) #s(literal 2 binary64)) (*.f64 (/.f64 z y) (*.f64 z #s(literal 1/2 binary64))))
(fma.f64 z (*.f64 (/.f64 z y) #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 z y) (*.f64 z #s(literal 1/2 binary64))) y))
(fma.f64 z (*.f64 (/.f64 z y) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (/.f64 z y) (*.f64 z #s(literal 1/2 binary64))))
(fma.f64 (/.f64 z y) (*.f64 z #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 z y) (*.f64 z #s(literal 1/2 binary64))) y))
(fma.f64 (/.f64 z y) (*.f64 z (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (/.f64 z y) (*.f64 z #s(literal 1/2 binary64))))
(fma.f64 (/.f64 z y) (/.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 (/.f64 z y) (*.f64 z #s(literal 1/2 binary64))))
(fma.f64 (/.f64 z y) (/.f64 (*.f64 (/.f64 z y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 z y) (*.f64 z #s(literal 1/2 binary64))))
(fma.f64 (/.f64 z (/.f64 y z)) #s(literal 1/2 binary64) (/.f64 (*.f64 (/.f64 z y) (*.f64 z #s(literal 1/2 binary64))) y))
(fma.f64 (/.f64 z (/.f64 y z)) (/.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 z y) (*.f64 z #s(literal 1/2 binary64))))
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(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (/.f64 y z))) (*.f64 (/.f64 z y) (*.f64 z #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 z (/.f64 y z)) y) (*.f64 (/.f64 z y) (*.f64 z #s(literal 1/2 binary64))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 z (/.f64 y z)) (*.f64 (/.f64 z y) (*.f64 z #s(literal 1/2 binary64))))
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(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (/.f64 z (/.f64 y z)) #s(literal 1 binary64)) (*.f64 (/.f64 z y) (*.f64 z #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (/.f64 z y) (*.f64 z #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 z y) (*.f64 z #s(literal 1/2 binary64))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 z y)) z (/.f64 (*.f64 (/.f64 z y) (*.f64 z #s(literal 1/2 binary64))) y))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 z y)) z (*.f64 (/.f64 z y) (*.f64 z #s(literal 1/2 binary64))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) z) (/.f64 z y) (/.f64 (*.f64 (/.f64 z y) (*.f64 z #s(literal 1/2 binary64))) y))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) z) (/.f64 z y) (*.f64 (/.f64 z y) (*.f64 z #s(literal 1/2 binary64))))
(fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 (*.f64 z z) #s(literal 1 binary64)) (*.f64 (/.f64 z y) (*.f64 z #s(literal 1/2 binary64))))
(fma.f64 (/.f64 (/.f64 z y) y) (/.f64 z #s(literal 2 binary64)) (*.f64 (/.f64 z y) (*.f64 z #s(literal 1/2 binary64))))
(fma.f64 (/.f64 (/.f64 z y) y) (/.f64 (*.f64 z #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 z y) (*.f64 z #s(literal 1/2 binary64))))
(fma.f64 (/.f64 (/.f64 z (/.f64 y z)) y) #s(literal 1/2 binary64) (*.f64 (/.f64 z y) (*.f64 z #s(literal 1/2 binary64))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 z y)) y) (/.f64 z #s(literal 1 binary64)) (*.f64 (/.f64 z y) (*.f64 z #s(literal 1/2 binary64))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) z) y) (/.f64 (/.f64 z y) #s(literal 1 binary64)) (*.f64 (/.f64 z y) (*.f64 z #s(literal 1/2 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y z))))
(/.f64 z y)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y z) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) z) (neg.f64 y))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) z)) (neg.f64 (neg.f64 y)))
(/.f64 (*.f64 z #s(literal 1 binary64)) y)
(/.f64 (*.f64 z #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 z #s(literal 1 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) z))) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 z #s(literal -1 binary64))) (neg.f64 (neg.f64 y)))
(pow.f64 (/.f64 y z) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 z y))
(*.f64 (/.f64 #s(literal 1 binary64) y) z)
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(*.f64 z (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 z y) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/2 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(*.f64 x (*.f64 x x))
(*.f64 (*.f64 x x) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))

simplify552.0ms (3.6%)

Algorithm
1×egg-herbie
Rules
8646×accelerator-lowering-fma.f32
8646×accelerator-lowering-fma.f64
3704×*-lowering-*.f32
3704×*-lowering-*.f64
2436×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01462120
14002090
210871960
340121960
085301919
Stop Event
1×iter limit
1×node limit
Counts
372 → 372
Calls
Call 1
Inputs
(/ 1 y)
(/ (+ 1 (* x y)) y)
(/ (+ 1 (* x y)) y)
(/ (+ 1 (* x y)) y)
x
(+ x (/ 1 y))
(+ x (/ 1 y))
(+ x (/ 1 y))
x
(+ x (/ 1 y))
(+ x (/ 1 y))
(+ x (/ 1 y))
(/ 1 y)
(+ x (/ 1 y))
(+ x (/ 1 y))
(+ x (/ 1 y))
x
(* x (+ 1 (/ 1 (* x y))))
(* x (+ 1 (/ 1 (* x y))))
(* x (+ 1 (/ 1 (* x y))))
x
(* x (+ 1 (/ 1 (* x y))))
(* x (+ 1 (/ 1 (* x y))))
(* x (+ 1 (/ 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 (* x y))
(+ 1 (* x y))
(+ 1 (* x y))
(* x y)
(* y (+ x (/ 1 y)))
(* y (+ x (/ 1 y)))
(* y (+ x (/ 1 y)))
(* x y)
(* -1 (* y (- (* -1 x) (/ 1 y))))
(* -1 (* y (- (* -1 x) (/ 1 y))))
(* -1 (* y (- (* -1 x) (/ 1 y))))
1
(+ 1 (* x y))
(+ 1 (* x y))
(+ 1 (* x y))
(* x y)
(* x (+ y (/ 1 x)))
(* x (+ y (/ 1 x)))
(* x (+ y (/ 1 x)))
(* x y)
(* -1 (* x (- (* -1 y) (/ 1 x))))
(* -1 (* x (- (* -1 y) (/ 1 x))))
(* -1 (* x (- (* -1 y) (/ 1 x))))
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y)
(/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y)
(/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y)
(/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y)
(/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y)
(/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y)
(/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y)
(/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y)
(/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y)
(/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y)
(/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y)
(/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y)
(* 1/2 (/ (pow z 2) (pow y 2)))
(/ (+ (* 1/2 (* y (pow z 2))) (* 1/2 (pow z 2))) (pow y 2))
(/ (+ (* 1/2 (* y (pow z 2))) (* 1/2 (pow z 2))) (pow y 2))
(/ (+ (* 1/2 (* y (pow z 2))) (* 1/2 (pow z 2))) (pow y 2))
(* 1/2 (/ (pow z 2) y))
(/ (+ (* 1/2 (/ (pow z 2) y)) (* 1/2 (pow z 2))) y)
(/ (+ (* 1/2 (/ (pow z 2) y)) (* 1/2 (pow z 2))) y)
(/ (+ (* 1/2 (/ (pow z 2) y)) (* 1/2 (pow z 2))) y)
(* 1/2 (/ (pow z 2) y))
(* -1 (/ (+ (* -1/2 (/ (pow z 2) y)) (* -1/2 (pow z 2))) y))
(* -1 (/ (+ (* -1/2 (/ (pow z 2) y)) (* -1/2 (pow z 2))) y))
(* -1 (/ (+ (* -1/2 (/ (pow z 2) y)) (* -1/2 (pow z 2))) y))
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ 1/2 y)
(/ (+ 1/2 (* 1/2 y)) y)
(/ (+ 1/2 (* 1/2 y)) y)
(/ (+ 1/2 (* 1/2 y)) y)
1/2
(+ 1/2 (* 1/2 (/ 1 y)))
(+ 1/2 (* 1/2 (/ 1 y)))
(+ 1/2 (* 1/2 (/ 1 y)))
1/2
(+ 1/2 (* 1/2 (/ 1 y)))
(+ 1/2 (* 1/2 (/ 1 y)))
(+ 1/2 (* 1/2 (/ 1 y)))
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1 y)
(/ (+ 1 (* x y)) y)
(/ (+ 1 (* x y)) y)
(/ (+ 1 (* x y)) y)
x
(+ x (/ 1 y))
(+ x (/ 1 y))
(+ x (/ 1 y))
x
(+ x (/ 1 y))
(+ x (/ 1 y))
(+ x (/ 1 y))
(/ 1 y)
(+ x (/ 1 y))
(+ x (/ 1 y))
(+ x (/ 1 y))
x
(* x (+ 1 (/ 1 (* x y))))
(* x (+ 1 (/ 1 (* x y))))
(* x (+ 1 (/ 1 (* x y))))
x
(* x (+ 1 (/ 1 (* x y))))
(* x (+ 1 (/ 1 (* x y))))
(* x (+ 1 (/ 1 (* x y))))
(/ 1 (pow y 2))
(/ (+ 1 (* -1 (* (pow x 2) (pow y 2)))) (pow y 2))
(/ (+ 1 (* -1 (* (pow x 2) (pow y 2)))) (pow y 2))
(/ (+ 1 (* -1 (* (pow x 2) (pow y 2)))) (pow y 2))
(* -1 (pow x 2))
(- (/ 1 (pow y 2)) (pow x 2))
(- (/ 1 (pow y 2)) (pow x 2))
(- (/ 1 (pow y 2)) (pow x 2))
(* -1 (pow x 2))
(- (/ 1 (pow y 2)) (pow x 2))
(- (/ 1 (pow y 2)) (pow x 2))
(- (/ 1 (pow y 2)) (pow x 2))
(/ 1 (pow y 2))
(+ (* -1 (pow x 2)) (/ 1 (pow y 2)))
(+ (* -1 (pow x 2)) (/ 1 (pow y 2)))
(+ (* -1 (pow x 2)) (/ 1 (pow y 2)))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1))
(* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1))
(* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1))
(* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1))
(* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 y)
(/ (+ 1 (* -1 (* x y))) y)
(/ (+ 1 (* -1 (* x y))) y)
(/ (+ 1 (* -1 (* x y))) y)
(* -1 x)
(- (/ 1 y) x)
(- (/ 1 y) x)
(- (/ 1 y) x)
(* -1 x)
(- (/ 1 y) x)
(- (/ 1 y) x)
(- (/ 1 y) x)
(/ 1 y)
(+ (* -1 x) (/ 1 y))
(+ (* -1 x) (/ 1 y))
(+ (* -1 x) (/ 1 y))
(* -1 x)
(* x (- (/ 1 (* x y)) 1))
(* x (- (/ 1 (* x y)) 1))
(* x (- (/ 1 (* x y)) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 (* x y)))))
(* -1 (* x (- 1 (/ 1 (* x y)))))
(* -1 (* x (- 1 (/ 1 (* x y)))))
(/ 1 y)
(+ x (/ 1 y))
(+ (* x (+ 1 (* -1 (* x (+ y (* -1 y)))))) (/ 1 y))
(+ (* x (+ 1 (* x (- (* -1 (* x (* y (+ y (* -1 y))))) (+ y (* -1 y)))))) (/ 1 y))
x
(* x (+ 1 (/ 1 (* x y))))
(* x (+ 1 (/ 1 (* x y))))
(* x (+ 1 (/ 1 (* x y))))
x
(* x (+ 1 (/ 1 (* x y))))
(* x (+ 1 (/ 1 (* x y))))
(* x (+ 1 (/ 1 (* x y))))
(/ 1 y)
(/ (+ 1 (* x y)) y)
(/ (+ 1 (* y (- (* -1 (* y (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x)))) y)
(/ (+ 1 (* y (- (* y (- (* -1 (* x (* y (+ (* -1 (pow x 2)) (pow x 2))))) (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x)))) y)
x
(+ x (/ 1 y))
(+ x (/ 1 y))
(+ x (/ 1 y))
x
(+ x (/ 1 y))
(+ x (/ 1 y))
(+ x (/ 1 y))
(/ 1 (pow y 2))
(/ (+ 1 (* -1 (* x y))) (pow y 2))
(/ (+ 1 (* y (+ (* -1 x) (* (pow x 2) y)))) (pow y 2))
(/ (+ 1 (* y (+ (* -1 x) (* (pow x 2) y)))) (pow y 2))
(pow x 2)
(+ (* -1 (/ x y)) (pow x 2))
(+ (* -1 (/ x y)) (+ (/ 1 (pow y 2)) (pow x 2)))
(+ (* -1 (/ x y)) (+ (/ 1 (pow y 2)) (pow x 2)))
(pow x 2)
(+ (* -1 (/ x y)) (pow x 2))
(+ (* -1 (/ (- x (/ 1 y)) y)) (pow x 2))
(+ (* -1 (/ (- x (/ 1 y)) y)) (pow x 2))
(/ 1 (pow y 2))
(+ (* -1 (/ x y)) (/ 1 (pow y 2)))
(+ (* x (- x (/ 1 y))) (/ 1 (pow y 2)))
(+ (* x (- x (/ 1 y))) (/ 1 (pow y 2)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (* x y))))
(* (pow x 2) (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y))))
(* (pow x 2) (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (* x y))))
(* (pow x 2) (+ 1 (* -1 (/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x))))
(/ 1 (pow y 3))
(+ (/ 1 (pow y 3)) (pow x 3))
(+ (/ 1 (pow y 3)) (pow x 3))
(+ (/ 1 (pow y 3)) (pow x 3))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 (* (pow x 3) (pow y 3)))))
(* (pow x 3) (+ 1 (/ 1 (* (pow x 3) (pow y 3)))))
(* (pow x 3) (+ 1 (/ 1 (* (pow x 3) (pow y 3)))))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 (* (pow x 3) (pow y 3)))))
(* (pow x 3) (+ 1 (/ 1 (* (pow x 3) (pow y 3)))))
(* (pow x 3) (+ 1 (/ 1 (* (pow x 3) (pow y 3)))))
(/ 1 (pow y 3))
(/ (+ 1 (* (pow x 3) (pow y 3))) (pow y 3))
(/ (+ 1 (* (pow x 3) (pow y 3))) (pow y 3))
(/ (+ 1 (* (pow x 3) (pow y 3))) (pow y 3))
(pow x 3)
(+ (/ 1 (pow y 3)) (pow x 3))
(+ (/ 1 (pow y 3)) (pow x 3))
(+ (/ 1 (pow y 3)) (pow x 3))
(pow x 3)
(+ (/ 1 (pow y 3)) (pow x 3))
(+ (/ 1 (pow y 3)) (pow x 3))
(+ (/ 1 (pow y 3)) (pow x 3))
(/ 1 (pow y 3))
(/ 1 (pow y 3))
(/ 1 (pow y 3))
(/ 1 (pow y 3))
(/ 1 (pow y 3))
(/ 1 (pow y 3))
(/ 1 (pow y 3))
(/ 1 (pow y 3))
(/ 1 (pow y 3))
(/ 1 (pow y 3))
(/ 1 (pow y 3))
(/ 1 (pow y 3))
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
Outputs
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 (* x y)) y)
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(/ (+ 1 (* x y)) y)
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(/ (+ 1 (* x y)) y)
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
x
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
x
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
x
(* x (+ 1 (/ 1 (* x y))))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(* x (+ 1 (/ 1 (* x y))))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(* x (+ 1 (/ 1 (* x y))))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
x
(* x (+ 1 (/ 1 (* x y))))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(* x (+ 1 (/ 1 (* x y))))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(* x (+ 1 (/ 1 (* x y))))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
1
#s(literal 1 binary64)
(+ 1 (* x y))
(+.f64 #s(literal 1 binary64) (*.f64 y x))
(+ 1 (* x y))
(+.f64 #s(literal 1 binary64) (*.f64 y x))
(+ 1 (* x y))
(+.f64 #s(literal 1 binary64) (*.f64 y x))
(* x y)
(*.f64 y x)
(* y (+ x (/ 1 y)))
(+.f64 #s(literal 1 binary64) (*.f64 y x))
(* y (+ x (/ 1 y)))
(+.f64 #s(literal 1 binary64) (*.f64 y x))
(* y (+ x (/ 1 y)))
(+.f64 #s(literal 1 binary64) (*.f64 y x))
(* x y)
(*.f64 y x)
(* -1 (* y (- (* -1 x) (/ 1 y))))
(+.f64 #s(literal 1 binary64) (*.f64 y x))
(* -1 (* y (- (* -1 x) (/ 1 y))))
(+.f64 #s(literal 1 binary64) (*.f64 y x))
(* -1 (* y (- (* -1 x) (/ 1 y))))
(+.f64 #s(literal 1 binary64) (*.f64 y x))
1
#s(literal 1 binary64)
(+ 1 (* x y))
(+.f64 #s(literal 1 binary64) (*.f64 y x))
(+ 1 (* x y))
(+.f64 #s(literal 1 binary64) (*.f64 y x))
(+ 1 (* x y))
(+.f64 #s(literal 1 binary64) (*.f64 y x))
(* x y)
(*.f64 y x)
(* x (+ y (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 y x))
(* x (+ y (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 y x))
(* x (+ y (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 y x))
(* x y)
(*.f64 y x)
(* -1 (* x (- (* -1 y) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 y x))
(* -1 (* x (- (* -1 y) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 y x))
(* -1 (* x (- (* -1 y) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 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)
(/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y)
(/.f64 (*.f64 z (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))) y)
(/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y)
(/.f64 (*.f64 z (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))) y)
(/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y)
(/.f64 (*.f64 z (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))) y)
(/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y)
(/.f64 (*.f64 z (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))) y)
(/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y)
(/.f64 (*.f64 z (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))) y)
(/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y)
(/.f64 (*.f64 z (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))) y)
(/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y)
(/.f64 (*.f64 z (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))) y)
(/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y)
(/.f64 (*.f64 z (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))) y)
(/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y)
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(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (*.f64 y y) (*.f64 x (*.f64 x x))))) (*.f64 y (*.f64 y y)))
(/ (+ 1 (* (pow x 3) (pow y 3))) (pow y 3))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (*.f64 y y) (*.f64 x (*.f64 x x))))) (*.f64 y (*.f64 y y)))
(pow x 3)
(*.f64 x (*.f64 x x))
(+ (/ 1 (pow y 3)) (pow x 3))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)) (*.f64 x (*.f64 x x)))
(+ (/ 1 (pow y 3)) (pow x 3))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)) (*.f64 x (*.f64 x x)))
(+ (/ 1 (pow y 3)) (pow x 3))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)) (*.f64 x (*.f64 x x)))
(pow x 3)
(*.f64 x (*.f64 x x))
(+ (/ 1 (pow y 3)) (pow x 3))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)) (*.f64 x (*.f64 x x)))
(+ (/ 1 (pow y 3)) (pow x 3))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)) (*.f64 x (*.f64 x x)))
(+ (/ 1 (pow y 3)) (pow x 3))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)) (*.f64 x (*.f64 x x)))
(/ 1 (pow y 3))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))
(/ 1 (pow y 3))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))
(/ 1 (pow y 3))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))
(/ 1 (pow y 3))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))
(/ 1 (pow y 3))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))
(/ 1 (pow y 3))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))
(/ 1 (pow y 3))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))
(/ 1 (pow y 3))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))
(/ 1 (pow y 3))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))
(/ 1 (pow y 3))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))
(/ 1 (pow y 3))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))
(/ 1 (pow y 3))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

eval477.0ms (3.1%)

Compiler

Compiled 37522 to 17242 computations (54% saved)

prune244.0ms (1.6%)

Pruning

29 alts after pruning (25 fresh and 4 done)

PrunedKeptTotal
New1372191391
Fresh6612
Picked325
Done022
Total1381291410
Accuracy
100.0%
Counts
1410 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
9.9%
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))))) (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)))))
56.2%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(literal 1 binary64))))) y)
40.1%
(/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 z))
22.1%
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x x)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (+.f64 x (/.f64 #s(literal 1 binary64) y)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)))))
24.0%
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x x)) (*.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 1 binary64) y) x))))))
33.2%
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x x)) (neg.f64 x))
54.4%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) y) x))
29.4%
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
19.9%
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 (/.f64 #s(literal 1 binary64) y) y))
19.5%
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (*.f64 x x))
✓79.8%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) y)
▶32.0%
(/.f64 (*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x (+.f64 x (/.f64 #s(literal 1 binary64) y))))) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 x (/.f64 #s(literal -1 binary64) y)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)))))
9.9%
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)))))
7.7%
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)
▶42.3%
(/.f64 (*.f64 y x) y)
33.5%
(/.f64 (*.f64 x (neg.f64 x)) (-.f64 (/.f64 #s(literal 1 binary64) y) x))
▶88.1%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 1 binary64) y))))
✓39.8%
(/.f64 #s(literal 1 binary64) y)
✓88.2%
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
47.9%
(+.f64 x (/.f64 (pow.f64 (/.f64 y z) y) y))
72.4%
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z #s(literal -1/2 binary64))))) y))
▶71.3%
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))) y))
▶4.4%
(*.f64 (/.f64 z (/.f64 y z)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))
7.2%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 z z))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))
79.6%
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 y x)))
32.0%
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y))))))
4.8%
(*.f64 (*.f64 z (/.f64 z y)) #s(literal 1/2 binary64))
4.4%
(*.f64 (*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) y) z)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))
✓50.8%
x
Compiler

Compiled 1350 to 765 computations (43.3% saved)

localize1.3s (8.9%)

Algorithm
1×egg-herbie
Localize:

Found 36 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x (+.f64 x (/.f64 #s(literal 1 binary64) y)))))
✓cost-diff0
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x (+.f64 x (/.f64 #s(literal 1 binary64) y))))) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 x (/.f64 #s(literal -1 binary64) y))))
✓cost-diff128
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y))))
✓cost-diff128
(/.f64 (*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x (+.f64 x (/.f64 #s(literal 1 binary64) y))))) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 x (/.f64 #s(literal -1 binary64) y)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)))))
✓cost-diff0
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64)))))))
✓cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))) y)
✓cost-diff0
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))) y))
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))
✓cost-diff0
(/.f64 y z)
✓cost-diff0
(/.f64 z (/.f64 y z))
✓cost-diff0
(*.f64 (/.f64 z (/.f64 y z)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))
✓cost-diff0
(*.f64 y x)
✓cost-diff256
(/.f64 (*.f64 y x) y)
✓cost-diff0
(/.f64 #s(literal 1 binary64) y)
✓cost-diff0
(+.f64 x (/.f64 #s(literal 1 binary64) y))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 1 binary64) y)))
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 1 binary64) y))))
✓accuracy94.9%
(+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))))
✓accuracy78.5%
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 x (/.f64 #s(literal -1 binary64) y)))
✓accuracy36.8%
(/.f64 (*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x (+.f64 x (/.f64 #s(literal 1 binary64) y))))) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 x (/.f64 #s(literal -1 binary64) y)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)))))
✓accuracy36.8%
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x (+.f64 x (/.f64 #s(literal 1 binary64) y)))))
✓accuracy99.9%
(*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))
✓accuracy99.9%
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))
✓accuracy99.6%
(*.f64 z #s(literal -1/6 binary64))
✓accuracy94.4%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))) y)
✓accuracy100.0%
(/.f64 #s(literal 1/2 binary64) y)
✓accuracy100.0%
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))
✓accuracy99.8%
(/.f64 z (/.f64 y z))
✓accuracy96.8%
(*.f64 (/.f64 z (/.f64 y z)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))
✓accuracy100.0%
(*.f64 y x)
✓accuracy79.4%
(/.f64 (*.f64 y x) y)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
✓accuracy100.0%
(+.f64 x (/.f64 #s(literal 1 binary64) y))
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 1 binary64) y)))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 1 binary64) y))))
Rules
8562×accelerator-lowering-fma.f32
8562×accelerator-lowering-fma.f64
3740×*-lowering-*.f32
3740×*-lowering-*.f64
2502×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047371
1114371
2270371
3560371
41503371
56813367
08255347
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (/ 1 (+ x (/ 1 y))))
1
(/ 1 (+ x (/ 1 y)))
(+ x (/ 1 y))
x
(/ 1 y)
y
(/ (* y x) y)
(* y x)
(* (/ z (/ y z)) (+ 1/2 (/ 1/2 y)))
(/ z (/ y z))
z
(/ y z)
(+ 1/2 (/ 1/2 y))
1/2
(/ 1/2 y)
(+ x (/ (+ 1 (* z (+ -1 (* z (+ 1/2 (* z -1/6)))))) y))
(/ (+ 1 (* z (+ -1 (* z (+ 1/2 (* z -1/6)))))) y)
(+ 1 (* z (+ -1 (* z (+ 1/2 (* z -1/6))))))
(* z (+ -1 (* z (+ 1/2 (* z -1/6)))))
(+ -1 (* z (+ 1/2 (* z -1/6))))
-1
(* z (+ 1/2 (* z -1/6)))
(+ 1/2 (* z -1/6))
(* z -1/6)
-1/6
(/ (* (/ (+ (* x (* x x)) (/ (/ 1 (* y y)) y)) (+ (/ 1 (* y y)) (* x (+ x (/ 1 y))))) (/ (+ (* x (* x x)) (/ -1 (* y (* y y)))) (+ x (/ -1 y)))) (+ (/ (/ 1 y) y) (* x (- x (/ 1 y)))))
(* (/ (+ (* x (* x x)) (/ (/ 1 (* y y)) y)) (+ (/ 1 (* y y)) (* x (+ x (/ 1 y))))) (/ (+ (* x (* x x)) (/ -1 (* y (* y y)))) (+ x (/ -1 y))))
(/ (+ (* x (* x x)) (/ (/ 1 (* y y)) y)) (+ (/ 1 (* y y)) (* x (+ x (/ 1 y)))))
(+ (* x (* x x)) (/ (/ 1 (* y y)) y))
(* x (* x x))
(* x x)
(/ (/ 1 (* y y)) y)
(/ 1 (* y y))
(* y y)
(+ (/ 1 (* y y)) (* x (+ x (/ 1 y))))
(* x (+ x (/ 1 y)))
(/ (+ (* x (* x x)) (/ -1 (* y (* y y)))) (+ x (/ -1 y)))
(+ (* x (* x x)) (/ -1 (* y (* y y))))
(/ -1 (* y (* y y)))
(* y (* y y))
(+ x (/ -1 y))
(/ -1 y)
(+ (/ (/ 1 y) y) (* x (- x (/ 1 y))))
(/ (/ 1 y) y)
(* x (- x (/ 1 y)))
(- x (/ 1 y))
Outputs
(/ 1 (/ 1 (+ x (/ 1 y))))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
1
#s(literal 1 binary64)
(/ 1 (+ x (/ 1 y)))
(/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 1 binary64) y)))
(+ x (/ 1 y))
(+.f64 x (/.f64 #s(literal 1 binary64) y))
x
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
y
(/ (* y x) y)
x
(* y x)
(*.f64 x y)
(* (/ z (/ y z)) (+ 1/2 (/ 1/2 y)))
(/.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) (/.f64 y z))
(/ z (/ y z))
(/.f64 z (/.f64 y z))
z
(/ y z)
(/.f64 y z)
(+ 1/2 (/ 1/2 y))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))
1/2
#s(literal 1/2 binary64)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(+ x (/ (+ 1 (* z (+ -1 (* z (+ 1/2 (* z -1/6)))))) y))
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))) y))
(/ (+ 1 (* z (+ -1 (* z (+ 1/2 (* z -1/6)))))) y)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))) y)
(+ 1 (* z (+ -1 (* z (+ 1/2 (* z -1/6))))))
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64)))))))
(* z (+ -1 (* z (+ 1/2 (* z -1/6)))))
(*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))
(+ -1 (* z (+ 1/2 (* z -1/6))))
(+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64)))))
-1
#s(literal -1 binary64)
(* z (+ 1/2 (* z -1/6)))
(*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))
(+ 1/2 (* z -1/6))
(+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64)))
(* z -1/6)
(*.f64 z #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
(/ (* (/ (+ (* x (* x x)) (/ (/ 1 (* y y)) y)) (+ (/ 1 (* y y)) (* x (+ x (/ 1 y))))) (/ (+ (* x (* x x)) (/ -1 (* y (* y y)))) (+ x (/ -1 y)))) (+ (/ (/ 1 y) y) (* x (- x (/ 1 y)))))
(/.f64 (/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x (+.f64 x (/.f64 #s(literal 1 binary64) y)))))) (+.f64 x (/.f64 #s(literal -1 binary64) y))) (-.f64 (*.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal -1 binary64) y)) y)))
(* (/ (+ (* x (* x x)) (/ (/ 1 (* y y)) y)) (+ (/ 1 (* y y)) (* x (+ x (/ 1 y))))) (/ (+ (* x (* x x)) (/ -1 (* y (* y y)))) (+ x (/ -1 y))))
(/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x (+.f64 x (/.f64 #s(literal 1 binary64) y)))))) (+.f64 x (/.f64 #s(literal -1 binary64) y)))
(/ (+ (* x (* x x)) (/ (/ 1 (* y y)) y)) (+ (/ 1 (* y y)) (* x (+ x (/ 1 y)))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x (+.f64 x (/.f64 #s(literal 1 binary64) y)))))
(+ (* x (* x x)) (/ (/ 1 (* y y)) y))
(+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))
(* x (* x x))
(*.f64 x (*.f64 x x))
(* x x)
(*.f64 x x)
(/ (/ 1 (* y y)) y)
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))
(/ 1 (* y y))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(* y y)
(*.f64 y y)
(+ (/ 1 (* y y)) (* x (+ x (/ 1 y))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x (+.f64 x (/.f64 #s(literal 1 binary64) y))))
(* x (+ x (/ 1 y)))
(*.f64 x (+.f64 x (/.f64 #s(literal 1 binary64) y)))
(/ (+ (* x (* x x)) (/ -1 (* y (* y y)))) (+ x (/ -1 y)))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 x (/.f64 #s(literal -1 binary64) y)))
(+ (* x (* x x)) (/ -1 (* y (* y y))))
(+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))))
(/ -1 (* y (* y y)))
(/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))
(* y (* y y))
(*.f64 y (*.f64 y y))
(+ x (/ -1 y))
(+.f64 x (/.f64 #s(literal -1 binary64) y))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(+ (/ (/ 1 y) y) (* x (- x (/ 1 y))))
(-.f64 (*.f64 x x) (/.f64 (+.f64 x (/.f64 #s(literal -1 binary64) y)) y))
(/ (/ 1 y) y)
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(* x (- x (/ 1 y)))
(*.f64 x (+.f64 x (/.f64 #s(literal -1 binary64) y)))
(- x (/ 1 y))
(+.f64 x (/.f64 #s(literal -1 binary64) y))
Results
572.0ms256×0valid
Compiler

Compiled 443 to 228 computations (48.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 446.0ms
ival-add: 236.0ms (52.9% of total)
ival-div: 117.0ms (26.2% of total)
ival-mult: 78.0ms (17.5% of total)
const: 8.0ms (1.8% of total)
ival-sub: 7.0ms (1.6% of total)
backward-pass: 0.0ms (0% of total)

series121.0ms (0.8%)

Counts
23 → 480
Calls
Call 1
Inputs
#<alt (/ 1 (/ 1 (+ x (/ 1 y))))>
#<alt (/ 1 (+ x (/ 1 y)))>
#<alt (+ x (/ 1 y))>
#<alt (/ 1 y)>
#<alt (/ (* y x) y)>
#<alt (* y x)>
#<alt (* (/ z (/ y z)) (+ 1/2 (/ 1/2 y)))>
#<alt (/ z (/ y z))>
#<alt (+ 1/2 (/ 1/2 y))>
#<alt (/ 1/2 y)>
#<alt (/ (+ 1 (* z (+ -1 (* z (+ 1/2 (* z -1/6)))))) y)>
#<alt (* z -1/6)>
#<alt (* z (+ -1 (* z (+ 1/2 (* z -1/6)))))>
#<alt (* z (+ 1/2 (* z -1/6)))>
#<alt (/ (+ (* x (* x x)) (/ (/ 1 (* y y)) y)) (+ (/ 1 (* y y)) (* x (+ x (/ 1 y)))))>
#<alt (/ (* (/ (+ (* x (* x x)) (/ (/ 1 (* y y)) y)) (+ (/ 1 (* y y)) (* x (+ x (/ 1 y))))) (/ (+ (* x (* x x)) (/ -1 (* y (* y y)))) (+ x (/ -1 y)))) (+ (/ (/ 1 y) y) (* x (- x (/ 1 y)))))>
#<alt (/ (+ (* x (* x x)) (/ -1 (* y (* y y)))) (+ x (/ -1 y)))>
#<alt (+ (* x (* x x)) (/ -1 (* y (* y y))))>
#<alt (/ y z)>
#<alt (+ x (/ (+ 1 (* z (+ -1 (* z (+ 1/2 (* z -1/6)))))) y))>
#<alt (+ 1 (* z (+ -1 (* z (+ 1/2 (* z -1/6))))))>
#<alt (+ (/ (/ 1 y) y) (* x (- x (/ 1 y))))>
#<alt (* (/ (+ (* x (* x x)) (/ (/ 1 (* y y)) y)) (+ (/ 1 (* y y)) (* x (+ x (/ 1 y))))) (/ (+ (* x (* x x)) (/ -1 (* y (* y y)))) (+ x (/ -1 y))))>
Outputs
#<alt (/ 1 y)>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt x>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt x>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* x y)) y)>
#<alt (/ (+ 1 (* x y)) y)>
#<alt (/ (+ 1 (* x y)) y)>
#<alt x>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt x>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt y>
#<alt (+ y (* -1 (* x (pow y 2))))>
#<alt (+ y (* x (- (* x (pow y 3)) (pow y 2))))>
#<alt (+ y (* x (- (* x (- (* -1 (* x (pow y 4))) (* -1 (pow y 3)))) (pow y 2))))>
#<alt (/ 1 x)>
#<alt (/ (- 1 (/ 1 (* x y))) x)>
#<alt (/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) x)>
#<alt (/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) (pow y 3))))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (/ 1 (* x y)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) 1) x))>
#<alt y>
#<alt (* y (+ 1 (* -1 (* x y))))>
#<alt (* y (+ 1 (* y (- (* (pow x 2) y) x))))>
#<alt (* y (+ 1 (* y (- (* y (- (* -1 (* (pow x 3) y)) (* -1 (pow x 2)))) x))))>
#<alt (/ 1 x)>
#<alt (- (/ 1 x) (/ 1 (* (pow x 2) y)))>
#<alt (- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (/ 1 (* (pow x 2) y)))>
#<alt (- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 4) (pow y 3)))))>
#<alt (/ 1 x)>
#<alt (- (/ 1 x) (/ 1 (* (pow x 2) y)))>
#<alt (+ (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 (* (pow x 3) y))) y)) (/ 1 x))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow x 3)) (/ 1 (* (pow x 4) y))) y)) (/ 1 (pow x 2))) y)) (/ 1 x))>
#<alt (/ 1 y)>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt x>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt x>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* x y)) y)>
#<alt (/ (+ 1 (* x y)) y)>
#<alt (/ (+ 1 (* x y)) y)>
#<alt x>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt x>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 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 x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y)>
#<alt (/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y)>
#<alt (/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y)>
#<alt (/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y)>
#<alt (/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y)>
#<alt (/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y)>
#<alt (/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y)>
#<alt (/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y)>
#<alt (/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y)>
#<alt (/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y)>
#<alt (/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y)>
#<alt (/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y)>
#<alt (* 1/2 (/ (pow z 2) (pow y 2)))>
#<alt (/ (+ (* 1/2 (* y (pow z 2))) (* 1/2 (pow z 2))) (pow y 2))>
#<alt (/ (+ (* 1/2 (* y (pow z 2))) (* 1/2 (pow z 2))) (pow y 2))>
#<alt (/ (+ (* 1/2 (* y (pow z 2))) (* 1/2 (pow z 2))) (pow y 2))>
#<alt (* 1/2 (/ (pow z 2) y))>
#<alt (/ (+ (* 1/2 (/ (pow z 2) y)) (* 1/2 (pow z 2))) y)>
#<alt (/ (+ (* 1/2 (/ (pow z 2) y)) (* 1/2 (pow z 2))) y)>
#<alt (/ (+ (* 1/2 (/ (pow z 2) y)) (* 1/2 (pow z 2))) y)>
#<alt (* 1/2 (/ (pow z 2) y))>
#<alt (* -1 (/ (+ (* -1/2 (/ (pow z 2) y)) (* -1/2 (pow z 2))) y))>
#<alt (* -1 (/ (+ (* -1/2 (/ (pow z 2) y)) (* -1/2 (pow z 2))) y))>
#<alt (* -1 (/ (+ (* -1/2 (/ (pow z 2) y)) (* -1/2 (pow z 2))) y))>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ 1/2 y)>
#<alt (/ (+ 1/2 (* 1/2 y)) y)>
#<alt (/ (+ 1/2 (* 1/2 y)) y)>
#<alt (/ (+ 1/2 (* 1/2 y)) y)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ 1 y)))>
#<alt (+ 1/2 (* 1/2 (/ 1 y)))>
#<alt (+ 1/2 (* 1/2 (/ 1 y)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ 1 y)))>
#<alt (+ 1/2 (* 1/2 (/ 1 y)))>
#<alt (+ 1/2 (* 1/2 (/ 1 y)))>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1 y)>
#<alt (+ (* -1 (/ z y)) (/ 1 y))>
#<alt (+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y))>
#<alt (+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y))>
#<alt (* -1/6 (/ (pow z 3) y))>
#<alt (* (pow z 3) (- (* 1/2 (/ 1 (* y z))) (* 1/6 (/ 1 y))))>
#<alt (* (pow z 3) (- (/ 1/2 (* y z)) (+ (* 1/6 (/ 1 y)) (/ 1 (* y (pow z 2))))))>
#<alt (* (pow z 3) (- (+ (/ 1/2 (* y z)) (/ 1 (* y (pow z 3)))) (+ (* 1/6 (/ 1 y)) (/ 1 (* y (pow z 2))))))>
#<alt (* -1/6 (/ (pow z 3) y))>
#<alt (* -1 (* (pow z 3) (- (* 1/6 (/ 1 y)) (* 1/2 (/ 1 (* y z))))))>
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (- (* 1/2 (/ 1 y)) (/ 1 (* y z))) z)) (* 1/6 (/ 1 y)))))>
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (* 1/2 (/ 1 y))) z)) (* 1/6 (/ 1 y)))))>
#<alt (/ (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) y)>
#<alt (/ (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) y)>
#<alt (/ (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) y)>
#<alt (/ (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) y)>
#<alt (/ (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) y)>
#<alt (/ (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) y)>
#<alt (/ (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) y)>
#<alt (/ (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) y)>
#<alt (/ (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) y)>
#<alt (/ (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) y)>
#<alt (/ (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) y)>
#<alt (/ (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) y)>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt (* -1/6 z)>
#<alt (* -1 z)>
#<alt (* z (- (* 1/2 z) 1))>
#<alt (* z (- (* z (+ 1/2 (* -1/6 z))) 1))>
#<alt (* z (- (* z (+ 1/2 (* -1/6 z))) 1))>
#<alt (* -1/6 (pow z 3))>
#<alt (* (pow z 3) (- (* 1/2 (/ 1 z)) 1/6))>
#<alt (* (pow z 3) (- (* 1/2 (/ 1 z)) (+ 1/6 (/ 1 (pow z 2)))))>
#<alt (* (pow z 3) (- (* 1/2 (/ 1 z)) (+ 1/6 (/ 1 (pow z 2)))))>
#<alt (* -1/6 (pow z 3))>
#<alt (* -1 (* (pow z 3) (- 1/6 (* 1/2 (/ 1 z)))))>
#<alt (* -1 (* (pow z 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 z)) z)))))>
#<alt (* -1 (* (pow z 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 z)) z)))))>
#<alt (* 1/2 z)>
#<alt (* z (+ 1/2 (* -1/6 z)))>
#<alt (* z (+ 1/2 (* -1/6 z)))>
#<alt (* z (+ 1/2 (* -1/6 z)))>
#<alt (* -1/6 (pow z 2))>
#<alt (* (pow z 2) (- (* 1/2 (/ 1 z)) 1/6))>
#<alt (* (pow z 2) (- (* 1/2 (/ 1 z)) 1/6))>
#<alt (* (pow z 2) (- (* 1/2 (/ 1 z)) 1/6))>
#<alt (* -1/6 (pow z 2))>
#<alt (* (pow z 2) (- (* 1/2 (/ 1 z)) 1/6))>
#<alt (* (pow z 2) (- (* 1/2 (/ 1 z)) 1/6))>
#<alt (* (pow z 2) (- (* 1/2 (/ 1 z)) 1/6))>
#<alt (/ 1 y)>
#<alt (+ (* -1 x) (/ 1 y))>
#<alt (+ (* x (- (* -1 (* x (+ y (* -1 y)))) 1)) (/ 1 y))>
#<alt (+ (* x (- (* x (- (* x (- (pow y 2) (+ (* -1 (* y (+ y (* -1 y)))) (* -1 (pow y 2))))) (+ y (* -1 y)))) 1)) (/ 1 y))>
#<alt x>
#<alt (* x (- 1 (/ 1 (* x y))))>
#<alt (* x (- (+ 1 (/ 2 (* (pow x 3) (pow y 3)))) (/ 1 (* x y))))>
#<alt (* x (- (+ 1 (* 2 (/ 1 (* (pow x 3) (pow y 3))))) (+ (/ 1 (* x y)) (* 2 (/ 1 (* (pow x 4) (pow y 4)))))))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 (* x y)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* 2 (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 y)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (/ 2 (* (pow x 2) (pow y 3))) (+ (/ 1 y) (/ 2 (* (pow x 3) (pow y 4))))) x)) 1)))>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* -1 (* x y))) y)>
#<alt (/ (+ 1 (* y (- (* -1 (* y (+ (* -1 (pow x 2)) (pow x 2)))) x))) y)>
#<alt (/ (+ 1 (* y (- (* y (- (* y (- (pow x 3) (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3))))) (+ (* -1 (pow x 2)) (pow x 2)))) x))) y)>
#<alt x>
#<alt (- x (/ 1 y))>
#<alt (- (+ x (/ 2 (* (pow x 2) (pow y 3)))) (/ 1 y))>
#<alt (- (+ x (* 2 (/ 1 (* (pow x 2) (pow y 3))))) (+ (/ 1 y) (* 2 (/ 1 (* (pow x 3) (pow y 4))))))>
#<alt x>
#<alt (- x (/ 1 y))>
#<alt (+ x (* -1 (/ (- 1 (* 2 (/ 1 (* (pow x 2) (pow y 2))))) y)))>
#<alt (+ x (* -1 (/ (- (+ 1 (/ 2 (* (pow x 3) (pow y 3)))) (/ 2 (* (pow x 2) (pow y 2)))) y)))>
#<alt (/ 1 y)>
#<alt (+ x (/ 1 y))>
#<alt (+ (* x (+ 1 (* -1 (* x (+ y (* -1 y)))))) (/ 1 y))>
#<alt (+ (* x (+ 1 (* x (- (* -1 (* x (+ (* -1 (pow y 2)) (+ (* y (+ y (* -1 y))) (pow y 2))))) (+ y (* -1 y)))))) (/ 1 y))>
#<alt x>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt x>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* y (+ (* -1 x) (* 2 x)))) y)>
#<alt (/ (+ 1 (* y (- (* -1 (* y (+ (* -1 (+ (* -2 (pow x 2)) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* -1 (pow (+ (* -1 x) (* 2 x)) 2))))) (* -1 (+ (* -1 x) (* 2 x)))))) y)>
#<alt (/ (+ 1 (* y (- (* y (- (* y (- (* -1 (+ (* -1 (pow x 3)) (pow x 3))) (+ (* -1 (* (+ (* -2 (pow x 2)) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) (+ (* -1 x) (* 2 x)))) (+ (* -1 (+ (* -2 (pow x 3)) (+ (* 2 (pow x 3)) (pow x 3)))) (* (+ (* -1 x) (* 2 x)) (+ (* -1 (+ (* -2 (pow x 2)) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* -1 (pow (+ (* -1 x) (* 2 x)) 2)))))))) (+ (* -1 (+ (* -2 (pow x 2)) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* -1 (pow (+ (* -1 x) (* 2 x)) 2))))) (* -1 (+ (* -1 x) (* 2 x)))))) y)>
#<alt x>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (- (+ x (/ 1 y)) (+ (* -1 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (* (pow x 4) (pow y 3)))) (+ (* -1 (/ (+ (* -1 (pow x 3)) (pow x 3)) (* (pow x 4) (pow y 2)))) (+ (* -1 (/ (+ (* -1 (pow x 3)) (pow x 3)) (* (pow x 5) (pow y 3)))) (+ (/ 1 (* (pow x 2) (pow y 3))) (/ (* (+ (* -1 (pow x 3)) (pow x 3)) (+ (* -1 (pow x 4)) (* x (+ (* -1 (pow x 3)) (pow x 3))))) (* (pow x 9) (pow y 3))))))))>
#<alt x>
#<alt (+ x (/ 1 y))>
#<alt (+ x (* -1 (/ (- (+ (* -1 (/ (+ (* x (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4)) (* (pow x 5) y))) (/ 1 (* x y))) 1) y)))>
#<alt (+ x (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (/ (+ (* x (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4)) (pow x 5))) (/ 1 x)) (+ (* x (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4))) (* (pow x 5) y))) (+ (* -1 (/ (+ (* -1 (pow x 3)) (+ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) (pow x 3))) (* (pow x 5) y))) (/ 1 (* (pow x 2) y)))) (+ (* -1 (/ (+ (* x (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4)) (pow x 5))) (/ 1 x))) y)) 1) y)))>
#<alt (/ 1 (pow y 2))>
#<alt (+ (/ 1 (pow y 2)) (/ x y))>
#<alt (+ (* x (+ x (/ 1 y))) (/ 1 (pow y 2)))>
#<alt (+ (* x (+ x (/ 1 y))) (/ 1 (pow y 2)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (* x y))))>
#<alt (* (pow x 2) (+ 1 (+ (/ 1 (* x y)) (/ 1 (* (pow x 2) (pow y 2))))))>
#<alt (* (pow x 2) (+ 1 (+ (/ 1 (* x y)) (/ 1 (* (pow x 2) (pow y 2))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (* x y))))>
#<alt (* (pow x 2) (+ 1 (+ (/ 1 (* x y)) (/ 1 (* (pow x 2) (pow y 2))))))>
#<alt (* (pow x 2) (+ 1 (+ (/ 1 (* x y)) (/ 1 (* (pow x 2) (pow y 2))))))>
#<alt (/ 1 (pow y 2))>
#<alt (/ (+ 1 (* x y)) (pow y 2))>
#<alt (/ (+ 1 (* y (- (* (pow x 2) y) (* -1 x)))) (pow y 2))>
#<alt (/ (+ 1 (* y (- (* (pow x 2) y) (* -1 x)))) (pow y 2))>
#<alt (pow x 2)>
#<alt (+ (/ x y) (pow x 2))>
#<alt (- (+ (/ 1 (pow y 2)) (pow x 2)) (* -1 (/ x y)))>
#<alt (- (+ (/ 1 (pow y 2)) (pow x 2)) (* -1 (/ x y)))>
#<alt (pow x 2)>
#<alt (+ (/ x y) (pow x 2))>
#<alt (+ (/ 1 (pow y 2)) (+ (/ x y) (pow x 2)))>
#<alt (+ (/ 1 (pow y 2)) (+ (/ x y) (pow x 2)))>
#<alt (/ -1 (pow y 3))>
#<alt (- (pow x 3) (/ 1 (pow y 3)))>
#<alt (- (pow x 3) (/ 1 (pow y 3)))>
#<alt (- (pow x 3) (/ 1 (pow y 3)))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (- 1 (/ 1 (* (pow x 3) (pow y 3)))))>
#<alt (* (pow x 3) (- 1 (/ 1 (* (pow x 3) (pow y 3)))))>
#<alt (* (pow x 3) (- 1 (/ 1 (* (pow x 3) (pow y 3)))))>
#<alt (pow x 3)>
#<alt (* -1 (* (pow x 3) (- (/ 1 (* (pow x 3) (pow y 3))) 1)))>
#<alt (* -1 (* (pow x 3) (- (/ 1 (* (pow x 3) (pow y 3))) 1)))>
#<alt (* -1 (* (pow x 3) (- (/ 1 (* (pow x 3) (pow y 3))) 1)))>
#<alt (/ -1 (pow y 3))>
#<alt (/ (- (* (pow x 3) (pow y 3)) 1) (pow y 3))>
#<alt (/ (- (* (pow x 3) (pow y 3)) 1) (pow y 3))>
#<alt (/ (- (* (pow x 3) (pow y 3)) 1) (pow y 3))>
#<alt (pow x 3)>
#<alt (- (pow x 3) (/ 1 (pow y 3)))>
#<alt (- (pow x 3) (/ 1 (pow y 3)))>
#<alt (- (pow x 3) (/ 1 (pow y 3)))>
#<alt (pow x 3)>
#<alt (- (pow x 3) (/ 1 (pow y 3)))>
#<alt (- (pow x 3) (/ 1 (pow y 3)))>
#<alt (- (pow x 3) (/ 1 (pow y 3)))>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (+ (/ 1 y) (/ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) y))>
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) y)))>
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) y)))>
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) y)))>
#<alt x>
#<alt (* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) (* x y)))))>
#<alt (* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) (* x y)))))>
#<alt (* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) (* x y)))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (+ (/ 1 y) (/ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) y)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (/ 1 y) (/ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) y)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (/ 1 y) (/ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) y)) x)) 1)))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y)))>
#<alt (* -1/6 (/ (pow z 3) y))>
#<alt (* (pow z 3) (- (* 1/2 (/ 1 (* y z))) (* 1/6 (/ 1 y))))>
#<alt (* (pow z 3) (- (/ 1/2 (* y z)) (+ (* 1/6 (/ 1 y)) (/ 1 (* y (pow z 2))))))>
#<alt (* (pow z 3) (- (+ (/ 1/2 (* y z)) (+ (/ 1 (* y (pow z 3))) (/ x (pow z 3)))) (+ (* 1/6 (/ 1 y)) (/ 1 (* y (pow z 2))))))>
#<alt (* -1/6 (/ (pow z 3) y))>
#<alt (* -1 (* (pow z 3) (- (* 1/6 (/ 1 y)) (* 1/2 (/ 1 (* y z))))))>
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (- (* 1/2 (/ 1 y)) (/ 1 (* y z))) z)) (* 1/6 (/ 1 y)))))>
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)) z)) (* 1/2 (/ 1 y))) z)) (* 1/6 (/ 1 y)))))>
#<alt (/ (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) y)>
#<alt (/ (+ 1 (+ (* x y) (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) y)>
#<alt (/ (+ 1 (+ (* x y) (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) y)>
#<alt (/ (+ 1 (+ (* x y) (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) y)>
#<alt x>
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) y)))>
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) y)))>
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) y)))>
#<alt x>
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) y)))>
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) y)))>
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) y)))>
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* z (- (* 1/2 z) 1)))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))>
#<alt (* -1/6 (pow z 3))>
#<alt (* (pow z 3) (- (* 1/2 (/ 1 z)) 1/6))>
#<alt (* (pow z 3) (- (* 1/2 (/ 1 z)) (+ 1/6 (/ 1 (pow z 2)))))>
#<alt (* (pow z 3) (- (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 3))) (+ 1/6 (/ 1 (pow z 2)))))>
#<alt (* -1/6 (pow z 3))>
#<alt (* -1 (* (pow z 3) (- 1/6 (* 1/2 (/ 1 z)))))>
#<alt (* -1 (* (pow z 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 z)) z)))))>
#<alt (* -1 (* (pow z 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 z)) z))) z)))))>
#<alt (/ 1 (pow y 2))>
#<alt (/ (+ 1 (* -1 (* x y))) (pow y 2))>
#<alt (/ (+ 1 (* y (+ (* -1 x) (* (pow x 2) y)))) (pow y 2))>
#<alt (/ (+ 1 (* y (+ (* -1 x) (* (pow x 2) y)))) (pow y 2))>
#<alt (pow x 2)>
#<alt (+ (* -1 (/ x y)) (pow x 2))>
#<alt (+ (* -1 (/ x y)) (+ (/ 1 (pow y 2)) (pow x 2)))>
#<alt (+ (* -1 (/ x y)) (+ (/ 1 (pow y 2)) (pow x 2)))>
#<alt (pow x 2)>
#<alt (+ (* -1 (/ x y)) (pow x 2))>
#<alt (+ (* -1 (/ (- x (/ 1 y)) y)) (pow x 2))>
#<alt (+ (* -1 (/ (- x (/ 1 y)) y)) (pow x 2))>
#<alt (/ 1 (pow y 2))>
#<alt (+ (* -1 (/ x y)) (/ 1 (pow y 2)))>
#<alt (+ (* x (- x (/ 1 y))) (/ 1 (pow y 2)))>
#<alt (+ (* x (- x (/ 1 y))) (/ 1 (pow y 2)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (* x y))))>
#<alt (* (pow x 2) (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y))))>
#<alt (* (pow x 2) (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (* x y))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x))))>
#<alt (/ 1 (pow y 3))>
#<alt (+ (/ 1 (pow y 3)) (pow x 3))>
#<alt (+ (/ 1 (pow y 3)) (pow x 3))>
#<alt (+ (/ 1 (pow y 3)) (pow x 3))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ 1 (* (pow x 3) (pow y 3)))))>
#<alt (* (pow x 3) (+ 1 (/ 1 (* (pow x 3) (pow y 3)))))>
#<alt (* (pow x 3) (+ 1 (/ 1 (* (pow x 3) (pow y 3)))))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ 1 (* (pow x 3) (pow y 3)))))>
#<alt (* (pow x 3) (+ 1 (/ 1 (* (pow x 3) (pow y 3)))))>
#<alt (* (pow x 3) (+ 1 (/ 1 (* (pow x 3) (pow y 3)))))>
#<alt (/ 1 (pow y 3))>
#<alt (/ (+ 1 (* y (+ x (* -1 x)))) (pow y 3))>
#<alt (/ (+ 1 (* y (- (* -1 (* y (+ (* -1 (+ (* -1 (pow x 2)) (pow x 2))) (* -1 (pow (+ x (* -1 x)) 2))))) (* -1 (+ x (* -1 x)))))) (pow y 3))>
#<alt (/ (+ 1 (* y (- (* y (- (* y (- (* -1 (+ (* -1 (pow x 3)) (pow x 3))) (+ (* -1 (* (+ x (* -1 x)) (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* -1 (pow x 3)) (* (+ x (* -1 x)) (+ (* -1 (+ (* -1 (pow x 2)) (pow x 2))) (* -1 (pow (+ x (* -1 x)) 2)))))))) (+ (* -1 (+ (* -1 (pow x 2)) (pow x 2))) (* -1 (pow (+ x (* -1 x)) 2))))) (* -1 (+ x (* -1 x)))))) (pow y 3))>
#<alt (pow x 3)>
#<alt (+ (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)) (pow x 3))>
#<alt (- (+ (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow (+ (* -1 (pow x 2)) (pow x 2)) 2) (pow x 3))))) (pow y 2))) (pow x 3)) (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y)))>
#<alt (- (+ (/ 1 (pow y 3)) (pow x 3)) (+ (* -1 (/ x (pow y 2))) (+ (* -1 (/ (* (+ x (* -1 x)) (+ (* -1 (pow x 2)) (pow x 2))) (* (pow x 3) (pow y 3)))) (+ (* -1 (/ (* (+ x (+ (* -1 x) (* -1 (/ (pow (+ (* -1 (pow x 2)) (pow x 2)) 2) (pow x 3))))) (+ (* -1 (pow x 2)) (pow x 2))) (* (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) y)) (+ (* -1 (/ (pow (+ (* -1 (pow x 2)) (pow x 2)) 2) (* (pow x 3) (pow y 2)))) (+ (/ x (pow y 2)) (/ (pow x 2) y))))))))>
#<alt (pow x 3)>
#<alt (+ (* -1 (/ (pow x 2) y)) (+ (/ (pow x 2) y) (pow x 3)))>
#<alt (+ (* -1 (/ (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow (+ (* -1 (pow x 2)) (pow x 2)) 2) (* (pow x 3) y))) (/ x y))) (+ (* -1 (pow x 2)) (pow x 2))) y)) (pow x 3))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ x (* -1 x)) (+ (* -1 (pow x 2)) (pow x 2))) (* (pow x 3) y))) (+ (* -1 (/ (* (+ x (+ (* -1 x) (* -1 (/ (pow (+ (* -1 (pow x 2)) (pow x 2)) 2) (pow x 3))))) (+ (* -1 (pow x 2)) (pow x 2))) (* (pow x 3) y))) (/ 1 y))) (+ x (+ (* -1 x) (* -1 (/ (pow (+ (* -1 (pow x 2)) (pow x 2)) 2) (pow x 3)))))) y)) (+ (* -1 (pow x 2)) (pow x 2))) y)) (pow x 3))>
Calls

120 calls:

TimeVariablePointExpression
56.0ms
y
@0
(/ (* (/ (+ (* x (* x x)) (/ (/ 1 (* y y)) y)) (+ (/ 1 (* y y)) (* x (+ x (/ 1 y))))) (/ (+ (* x (* x x)) (/ -1 (* y (* y y)))) (+ x (/ -1 y)))) (+ (/ (/ 1 y) y) (* x (- x (/ 1 y)))))
4.0ms
y
@0
(/ (+ 1 (* z (+ -1 (* z (+ 1/2 (* z -1/6)))))) y)
2.0ms
y
@inf
(/ 1 (+ x (/ 1 y)))
1.0ms
y
@inf
(/ (* (/ (+ (* x (* x x)) (/ (/ 1 (* y y)) y)) (+ (/ 1 (* y y)) (* x (+ x (/ 1 y))))) (/ (+ (* x (* x x)) (/ -1 (* y (* y y)))) (+ x (/ -1 y)))) (+ (/ (/ 1 y) y) (* x (- x (/ 1 y)))))
1.0ms
x
@-inf
(/ (* (/ (+ (* x (* x x)) (/ (/ 1 (* y y)) y)) (+ (/ 1 (* y y)) (* x (+ x (/ 1 y))))) (/ (+ (* x (* x x)) (/ -1 (* y (* y y)))) (+ x (/ -1 y)))) (+ (/ (/ 1 y) y) (* x (- x (/ 1 y)))))

rewrite592.0ms (3.9%)

Algorithm
1×batch-egg-rewrite
Rules
4632×/-lowering-/.f32
4632×/-lowering-/.f64
3016×*-lowering-*.f32
3016×*-lowering-*.f64
2296×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047243
1347197
23641183
09239169
Stop Event
1×iter limit
1×node limit
Counts
23 → 1116
Calls
Call 1
Inputs
(/ 1 (/ 1 (+ x (/ 1 y))))
(/ 1 (+ x (/ 1 y)))
(+ x (/ 1 y))
(/ 1 y)
(/ (* y x) y)
(* y x)
(* (/ z (/ y z)) (+ 1/2 (/ 1/2 y)))
(/ z (/ y z))
(+ 1/2 (/ 1/2 y))
(/ 1/2 y)
(/ (+ 1 (* z (+ -1 (* z (+ 1/2 (* z -1/6)))))) y)
(* z -1/6)
(* z (+ -1 (* z (+ 1/2 (* z -1/6)))))
(* z (+ 1/2 (* z -1/6)))
(/ (+ (* x (* x x)) (/ (/ 1 (* y y)) y)) (+ (/ 1 (* y y)) (* x (+ x (/ 1 y)))))
(/ (* (/ (+ (* x (* x x)) (/ (/ 1 (* y y)) y)) (+ (/ 1 (* y y)) (* x (+ x (/ 1 y))))) (/ (+ (* x (* x x)) (/ -1 (* y (* y y)))) (+ x (/ -1 y)))) (+ (/ (/ 1 y) y) (* x (- x (/ 1 y)))))
(/ (+ (* x (* x x)) (/ -1 (* y (* y y)))) (+ x (/ -1 y)))
(+ (* x (* x x)) (/ -1 (* y (* y y))))
(/ y z)
(+ x (/ (+ 1 (* z (+ -1 (* z (+ 1/2 (* z -1/6)))))) y))
(+ 1 (* z (+ -1 (* z (+ 1/2 (* z -1/6))))))
(+ (/ (/ 1 y) y) (* x (- x (/ 1 y))))
(* (/ (+ (* x (* x x)) (/ (/ 1 (* y y)) y)) (+ (/ 1 (* y y)) (* x (+ x (/ 1 y))))) (/ (+ (* x (* x x)) (/ -1 (* y (* y y)))) (+ x (/ -1 y))))
Outputs
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))
(+.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(exp.f64 (log.f64 (+.f64 x (/.f64 #s(literal 1 binary64) y))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))
(-.f64 x (/.f64 #s(literal -1 binary64) y))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 #s(literal -1 binary64) y))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 x (/.f64 #s(literal -1 binary64) y))))
(-.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 #s(literal -1 binary64) y))) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 x (/.f64 #s(literal -1 binary64) y))) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)))) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y y))) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)))) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y))))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 (*.f64 x x) (/.f64 x y)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 (*.f64 x x) (/.f64 x y)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 (*.f64 x x) (/.f64 x y)))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y y))) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 (*.f64 x x) (/.f64 x y)))))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x (-.f64 #s(literal 0 binary64) y))))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)) (+.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x (-.f64 #s(literal 0 binary64) y))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)))) (+.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x (-.f64 #s(literal 0 binary64) y))))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y y))) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)))) (+.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x (-.f64 #s(literal 0 binary64) y))))))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)) (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)))) (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y)))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y y))) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)))) (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y)))) (+.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1 binary64) y) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1 binary64) y) x)))
(fma.f64 #s(literal 1 binary64) x (/.f64 #s(literal 1 binary64) y))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64) x)
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simplify471.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
7672×accelerator-lowering-fma.f32
7672×accelerator-lowering-fma.f64
3382×*-lowering-*.f32
3382×*-lowering-*.f64
2854×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06044535
119384110
273174092
080793912
Stop Event
1×iter limit
1×node limit
Counts
480 → 480
Calls
Call 1
Inputs
(/ 1 y)
(+ x (/ 1 y))
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(- (+ (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow (+ (* -1 (pow x 2)) (pow x 2)) 2) (pow x 3))))) (pow y 2))) (pow x 3)) (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y)))
(- (+ (/ 1 (pow y 3)) (pow x 3)) (+ (* -1 (/ x (pow y 2))) (+ (* -1 (/ (* (+ x (* -1 x)) (+ (* -1 (pow x 2)) (pow x 2))) (* (pow x 3) (pow y 3)))) (+ (* -1 (/ (* (+ x (+ (* -1 x) (* -1 (/ (pow (+ (* -1 (pow x 2)) (pow x 2)) 2) (pow x 3))))) (+ (* -1 (pow x 2)) (pow x 2))) (* (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) y)) (+ (* -1 (/ (pow (+ (* -1 (pow x 2)) (pow x 2)) 2) (* (pow x 3) (pow y 2)))) (+ (/ x (pow y 2)) (/ (pow x 2) y))))))))
(pow x 3)
(+ (* -1 (/ (pow x 2) y)) (+ (/ (pow x 2) y) (pow x 3)))
(+ (* -1 (/ (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow (+ (* -1 (pow x 2)) (pow x 2)) 2) (* (pow x 3) y))) (/ x y))) (+ (* -1 (pow x 2)) (pow x 2))) y)) (pow x 3))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ x (* -1 x)) (+ (* -1 (pow x 2)) (pow x 2))) (* (pow x 3) y))) (+ (* -1 (/ (* (+ x (+ (* -1 x) (* -1 (/ (pow (+ (* -1 (pow x 2)) (pow x 2)) 2) (pow x 3))))) (+ (* -1 (pow x 2)) (pow x 2))) (* (pow x 3) y))) (/ 1 y))) (+ x (+ (* -1 x) (* -1 (/ (pow (+ (* -1 (pow x 2)) (pow x 2)) 2) (pow x 3)))))) y)) (+ (* -1 (pow x 2)) (pow x 2))) y)) (pow x 3))
Outputs
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
x
(* x (+ 1 (/ 1 (* x y))))
(+.f64 x (/.f64 x (*.f64 y x)))
(* x (+ 1 (/ 1 (* x y))))
(+.f64 x (/.f64 x (*.f64 y x)))
(* x (+ 1 (/ 1 (* x y))))
(+.f64 x (/.f64 x (*.f64 y x)))
x
(* x (+ 1 (/ 1 (* x y))))
(+.f64 x (/.f64 x (*.f64 y x)))
(* x (+ 1 (/ 1 (* x y))))
(+.f64 x (/.f64 x (*.f64 y x)))
(* x (+ 1 (/ 1 (* x y))))
(+.f64 x (/.f64 x (*.f64 y x)))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 (* x y)) y)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) y)
(/ (+ 1 (* x y)) y)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) y)
(/ (+ 1 (* x y)) y)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) y)
x
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
x
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
y
(+ y (* -1 (* x (pow y 2))))
(*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y x)))
(+ y (* x (- (* x (pow y 3)) (pow y 2))))
(+.f64 y (*.f64 x (-.f64 (*.f64 y (*.f64 y (*.f64 y x))) (*.f64 y y))))
(+ y (* x (- (* x (- (* -1 (* x (pow y 4))) (* -1 (pow y 3)))) (pow y 2))))
(+.f64 y (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) (*.f64 y (*.f64 y y))) x)) (*.f64 y y))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (/ 1 (* x y))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) x)
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) (/.f64 #s(literal -1 binary64) y)) x)) x)
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) (pow y 3))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) (/.f64 #s(literal -1 binary64) y)) x) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 x (*.f64 x x)))))))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (/ 1 (* x y)) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) x)
(* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x)) 1) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) (/.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 0 binary64) x))) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) 1) x))
(/.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) y) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) y)) x))) (-.f64 #s(literal 0 binary64) x))
y
(* y (+ 1 (* -1 (* x y))))
(*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y x)))
(* y (+ 1 (* y (- (* (pow x 2) y) x))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y (*.f64 x x)) x))))
(* y (+ 1 (* y (- (* y (- (* -1 (* (pow x 3) y)) (* -1 (pow x 2)))) x))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 x (*.f64 x x)))))) x))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(- (/ 1 x) (/ 1 (* (pow x 2) y)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) x)
(- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (/ 1 (* (pow x 2) y)))
(+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x (*.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) x))
(- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 4) (pow y 3)))))
(-.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x (*.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 y y)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(- (/ 1 x) (/ 1 (* (pow x 2) y)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) x)
(+ (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 (* (pow x 3) y))) y)) (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (*.f64 x x)))) y))
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow x 3)) (/ 1 (* (pow x 4) y))) y)) (/ 1 (pow x 2))) y)) (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (*.f64 x (*.f64 x x))))) y)) y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
x
(* x (+ 1 (/ 1 (* x y))))
(+.f64 x (/.f64 x (*.f64 y x)))
(* x (+ 1 (/ 1 (* x y))))
(+.f64 x (/.f64 x (*.f64 y x)))
(* x (+ 1 (/ 1 (* x y))))
(+.f64 x (/.f64 x (*.f64 y x)))
x
(* x (+ 1 (/ 1 (* x y))))
(+.f64 x (/.f64 x (*.f64 y x)))
(* x (+ 1 (/ 1 (* x y))))
(+.f64 x (/.f64 x (*.f64 y x)))
(* x (+ 1 (/ 1 (* x y))))
(+.f64 x (/.f64 x (*.f64 y x)))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 (* x y)) y)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) y)
(/ (+ 1 (* x y)) y)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) y)
(/ (+ 1 (* x y)) y)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) y)
x
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
x
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y)
(/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) y)
(/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y)
(/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) y)
(/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y)
(/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) y)
(/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y)
(/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) y)
(/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y)
(/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) y)
(/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y)
(/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) y)
(/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y)
(/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) y)
(/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y)
(/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) y)
(/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y)
(/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) y)
(/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y)
(/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) y)
(/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y)
(/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) y)
(/ (* (pow z 2) (+ 1/2 (* 1/2 (/ 1 y)))) y)
(/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) y)
(* 1/2 (/ (pow z 2) (pow y 2)))
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) (*.f64 y y))
(/ (+ (* 1/2 (* y (pow z 2))) (* 1/2 (pow z 2))) (pow y 2))
(/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64)))) (*.f64 y y))
(/ (+ (* 1/2 (* y (pow z 2))) (* 1/2 (pow z 2))) (pow y 2))
(/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64)))) (*.f64 y y))
(/ (+ (* 1/2 (* y (pow z 2))) (* 1/2 (pow z 2))) (pow y 2))
(/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64)))) (*.f64 y y))
(* 1/2 (/ (pow z 2) y))
(*.f64 (*.f64 z z) (/.f64 #s(literal 1/2 binary64) y))
(/ (+ (* 1/2 (/ (pow z 2) y)) (* 1/2 (pow z 2))) y)
(/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) y)
(/ (+ (* 1/2 (/ (pow z 2) y)) (* 1/2 (pow z 2))) y)
(/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) y)
(/ (+ (* 1/2 (/ (pow z 2) y)) (* 1/2 (pow z 2))) y)
(/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) y)
(* 1/2 (/ (pow z 2) y))
(*.f64 (*.f64 z z) (/.f64 #s(literal 1/2 binary64) y))
(* -1 (/ (+ (* -1/2 (/ (pow z 2) y)) (* -1/2 (pow z 2))) y))
(/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) y)
(* -1 (/ (+ (* -1/2 (/ (pow z 2) y)) (* -1/2 (pow z 2))) y))
(/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) y)
(* -1 (/ (+ (* -1/2 (/ (pow z 2) y)) (* -1/2 (pow z 2))) y))
(/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ (+ 1/2 (* 1/2 y)) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64))) y)
(/ (+ 1/2 (* 1/2 y)) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64))) y)
(/ (+ 1/2 (* 1/2 y)) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64))) y)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 (/ 1 y)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))
(+ 1/2 (* 1/2 (/ 1 y)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))
(+ 1/2 (* 1/2 (/ 1 y)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 (/ 1 y)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))
(+ 1/2 (* 1/2 (/ 1 y)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))
(+ 1/2 (* 1/2 (/ 1 y)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -1 (/ z y)) (/ 1 y))
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y))
(+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z (+.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 z (/.f64 #s(literal 1/2 binary64) y)))))
(+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z (+.f64 (*.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 z (/.f64 #s(literal -1/6 binary64) y)))) (/.f64 #s(literal -1 binary64) y))))
(* -1/6 (/ (pow z 3) y))
(*.f64 #s(literal -1/6 binary64) (*.f64 z (/.f64 (*.f64 z z) y)))
(* (pow z 3) (- (* 1/2 (/ 1 (* y z))) (* 1/6 (/ 1 y))))
(*.f64 z (*.f64 (*.f64 z z) (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) z) (/.f64 #s(literal 1/6 binary64) y))))
(* (pow z 3) (- (/ 1/2 (* y z)) (+ (* 1/6 (/ 1 y)) (/ 1 (* y (pow z 2))))))
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(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (* x y))))
(*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x))))
(* (pow x 2) (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) (/.f64 #s(literal -1 binary64) y)) x)))
(* (pow x 2) (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) (/.f64 #s(literal -1 binary64) y)) x)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (* x y))))
(*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x))))
(* (pow x 2) (+ 1 (* -1 (/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x)) x)))
(* (pow x 2) (+ 1 (* -1 (/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x)) x)))
(/ 1 (pow y 3))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))
(+ (/ 1 (pow y 3)) (pow x 3))
(+.f64 (*.f64 x (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)))
(+ (/ 1 (pow y 3)) (pow x 3))
(+.f64 (*.f64 x (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)))
(+ (/ 1 (pow y 3)) (pow x 3))
(+.f64 (*.f64 x (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)))
(pow x 3)
(*.f64 x (*.f64 x x))
(* (pow x 3) (+ 1 (/ 1 (* (pow x 3) (pow y 3)))))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x (*.f64 x x))) y))))
(* (pow x 3) (+ 1 (/ 1 (* (pow x 3) (pow y 3)))))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x (*.f64 x x))) y))))
(* (pow x 3) (+ 1 (/ 1 (* (pow x 3) (pow y 3)))))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x (*.f64 x x))) y))))
(pow x 3)
(*.f64 x (*.f64 x x))
(* (pow x 3) (+ 1 (/ 1 (* (pow x 3) (pow y 3)))))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x (*.f64 x x))) y))))
(* (pow x 3) (+ 1 (/ 1 (* (pow x 3) (pow y 3)))))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x (*.f64 x x))) y))))
(* (pow x 3) (+ 1 (/ 1 (* (pow x 3) (pow y 3)))))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x (*.f64 x x))) y))))
(/ 1 (pow y 3))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))
(/ (+ 1 (* y (+ x (* -1 x)))) (pow y 3))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))
(/ (+ 1 (* y (- (* -1 (* y (+ (* -1 (+ (* -1 (pow x 2)) (pow x 2))) (* -1 (pow (+ x (* -1 x)) 2))))) (* -1 (+ x (* -1 x)))))) (pow y 3))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))
(/ (+ 1 (* y (- (* y (- (* y (- (* -1 (+ (* -1 (pow x 3)) (pow x 3))) (+ (* -1 (* (+ x (* -1 x)) (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* -1 (pow x 3)) (* (+ x (* -1 x)) (+ (* -1 (+ (* -1 (pow x 2)) (pow x 2))) (* -1 (pow (+ x (* -1 x)) 2)))))))) (+ (* -1 (+ (* -1 (pow x 2)) (pow x 2))) (* -1 (pow (+ x (* -1 x)) 2))))) (* -1 (+ x (* -1 x)))))) (pow y 3))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 x (*.f64 x x)))))) (*.f64 y (*.f64 y y)))
(pow x 3)
(*.f64 x (*.f64 x x))
(+ (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)) (pow x 3))
(*.f64 x (*.f64 x x))
(- (+ (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow (+ (* -1 (pow x 2)) (pow x 2)) 2) (pow x 3))))) (pow y 2))) (pow x 3)) (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y)))
(+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))
(- (+ (/ 1 (pow y 3)) (pow x 3)) (+ (* -1 (/ x (pow y 2))) (+ (* -1 (/ (* (+ x (* -1 x)) (+ (* -1 (pow x 2)) (pow x 2))) (* (pow x 3) (pow y 3)))) (+ (* -1 (/ (* (+ x (+ (* -1 x) (* -1 (/ (pow (+ (* -1 (pow x 2)) (pow x 2)) 2) (pow x 3))))) (+ (* -1 (pow x 2)) (pow x 2))) (* (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) y)) (+ (* -1 (/ (pow (+ (* -1 (pow x 2)) (pow x 2)) 2) (* (pow x 3) (pow y 2)))) (+ (/ x (pow y 2)) (/ (pow x 2) y))))))))
(+.f64 (*.f64 x (*.f64 x x)) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)) (-.f64 (+.f64 (+.f64 (+.f64 (/.f64 (/.f64 x y) y) (/.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))) (/.f64 (/.f64 x y) y))))
(pow x 3)
(*.f64 x (*.f64 x x))
(+ (* -1 (/ (pow x 2) y)) (+ (/ (pow x 2) y) (pow x 3)))
(*.f64 x (*.f64 x x))
(+ (* -1 (/ (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow (+ (* -1 (pow x 2)) (pow x 2)) 2) (* (pow x 3) y))) (/ x y))) (+ (* -1 (pow x 2)) (pow x 2))) y)) (pow x 3))
(+.f64 (*.f64 x (*.f64 x x)) (/.f64 (+.f64 (/.f64 x y) (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (/.f64 x y))) y))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ x (* -1 x)) (+ (* -1 (pow x 2)) (pow x 2))) (* (pow x 3) y))) (+ (* -1 (/ (* (+ x (+ (* -1 x) (* -1 (/ (pow (+ (* -1 (pow x 2)) (pow x 2)) 2) (pow x 3))))) (+ (* -1 (pow x 2)) (pow x 2))) (* (pow x 3) y))) (/ 1 y))) (+ x (+ (* -1 x) (* -1 (/ (pow (+ (* -1 (pow x 2)) (pow x 2)) 2) (pow x 3)))))) y)) (+ (* -1 (pow x 2)) (pow x 2))) y)) (pow x 3))
(-.f64 (*.f64 x (*.f64 x x)) (/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (*.f64 y y)))

eval834.0ms (5.5%)

Compiler

Compiled 75036 to 38201 computations (49.1% saved)

prune519.0ms (3.4%)

Pruning

35 alts after pruning (29 fresh and 6 done)

PrunedKeptTotal
New1780201800
Fresh11920
Picked325
Done044
Total1794351829
Accuracy
100.0%
Counts
1829 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.2%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(literal 1 binary64))))) y)
24.0%
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x x)) (*.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 1 binary64) y) x))))))
33.2%
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x x)) (neg.f64 x))
29.4%
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
19.9%
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 (/.f64 #s(literal 1 binary64) y) y))
19.5%
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (*.f64 x x))
34.6%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))) y)
✓79.8%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) y)
13.0%
(/.f64 (*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y y)))) (*.f64 (+.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x (/.f64 #s(literal 1 binary64) y)))) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))))) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 x (/.f64 #s(literal -1 binary64) y)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)))))
29.6%
(/.f64 (*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)) (neg.f64 (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y))))))) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 x (/.f64 #s(literal -1 binary64) y)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)))))
16.3%
(/.f64 (*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x (+.f64 x (/.f64 #s(literal 1 binary64) y))))) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 x (/.f64 #s(literal -1 binary64) y)))) (/.f64 (/.f64 #s(literal 1 binary64) y) y))
16.7%
(/.f64 (*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x (+.f64 x (/.f64 #s(literal 1 binary64) y))))) (/.f64 (*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y y)))) (+.f64 x (/.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x (/.f64 #s(literal 1 binary64) y)))))) (+.f64 x (/.f64 #s(literal -1 binary64) y)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)))))
15.9%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 x (/.f64 #s(literal -1 binary64) y)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)))))
7.7%
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)
✓42.3%
(/.f64 (*.f64 y x) y)
21.2%
(/.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x (*.f64 x x))) y)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)))))
33.5%
(/.f64 (*.f64 x (neg.f64 x)) (-.f64 (/.f64 #s(literal 1 binary64) y) x))
✓88.1%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 1 binary64) y))))
32.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y))))))
✓39.8%
(/.f64 #s(literal 1 binary64) y)
✓88.2%
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
47.9%
(+.f64 x (/.f64 (pow.f64 (/.f64 y z) y) y))
63.9%
(+.f64 x (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64)))))) (*.f64 (*.f64 z z) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64)))))) (-.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64)))))) #s(literal 1 binary64))))) y))
68.1%
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64)))) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64)))))) z) (-.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))) y))
37.0%
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64)) (*.f64 z (*.f64 z z)))) (+.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 z (*.f64 z #s(literal -1/6 binary64))) (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) (*.f64 (*.f64 z #s(literal 1/2 binary64)) (*.f64 z (*.f64 z #s(literal -1/6 binary64)))))))))) y))
67.5%
(+.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64)))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))))) y))
43.9%
(+.f64 x (/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y))
82.6%
(+.f64 x (/.f64 x (*.f64 y x)))
4.8%
(*.f64 (/.f64 z (/.f64 y z)) #s(literal 1/2 binary64))
42.2%
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x y))
8.4%
(*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y z))) (neg.f64 (*.f64 z (*.f64 z z))))
32.2%
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y))))
67.6%
(*.f64 x (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64)))))) y))) x))))
7.1%
(*.f64 #s(literal -1/6 binary64) (*.f64 z (/.f64 (*.f64 z z) y)))
✓50.8%
x
Compiler

Compiled 2679 to 1482 computations (44.7% saved)

regimes340.0ms (2.2%)

Counts
66 → 3
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1 binary64) y)
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 (*.f64 y x) y)
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(*.f64 (*.f64 z (/.f64 z y)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x y))
(*.f64 (/.f64 z (/.f64 y z)) #s(literal 1/2 binary64))
(+.f64 x (/.f64 x (*.f64 y x)))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) y)
(*.f64 #s(literal -1/6 binary64) (*.f64 z (/.f64 (*.f64 z z) y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 y x)))
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) z)))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 1 binary64) y))))
(/.f64 (*.f64 x (neg.f64 x)) (-.f64 (/.f64 #s(literal 1 binary64) y) x))
(*.f64 (*.f64 z (/.f64 z y)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (/.f64 z (/.f64 y z)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(+.f64 x (/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x x)) (neg.f64 x))
(*.f64 z (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))) y))
(*.f64 (*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) y) z)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 z z))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z #s(literal -1/2 binary64))))) y))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 (/.f64 z y) (+.f64 #s(literal -1 binary64) (*.f64 z #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))) y)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) y) x))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) y) x))
(*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y z))) (neg.f64 (*.f64 z (*.f64 z z))))
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))) y))
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))))) y))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x x))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (*.f64 x x))
(+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) (*.f64 z (*.f64 (/.f64 z y) (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64)))))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 (/.f64 #s(literal 1 binary64) y) y))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 z (+.f64 (*.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) (/.f64 #s(literal -1 binary64) y))))
(*.f64 x (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64)))))) y))) x))))
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(literal 1 binary64))))) y)
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y))))))
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))))))))) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y))))))
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64)))) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64)))))) z) (-.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))) y))
(/.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x (*.f64 x x))) y)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 x (/.f64 #s(literal -1 binary64) y)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)))))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x x)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (+.f64 x (/.f64 #s(literal 1 binary64) y)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)))))
(+.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64)))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))))) y))
(/.f64 (*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x (+.f64 x (/.f64 #s(literal 1 binary64) y))))) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 x (/.f64 #s(literal -1 binary64) y)))) (/.f64 (/.f64 #s(literal 1 binary64) y) y))
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64)) (*.f64 z (*.f64 z z)))) (+.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 z (*.f64 z #s(literal -1/6 binary64))) (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) (*.f64 (*.f64 z #s(literal 1/2 binary64)) (*.f64 z (*.f64 z #s(literal -1/6 binary64)))))))))) y))
(/.f64 (*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x (+.f64 x (/.f64 #s(literal 1 binary64) y))))) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 x (/.f64 #s(literal -1 binary64) y)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)))))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x x)) (*.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 1 binary64) y) x))))))
(+.f64 x (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64)))))) (*.f64 (*.f64 z z) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64)))))) (-.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64)))))) #s(literal 1 binary64))))) y))
(/.f64 (*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)) (neg.f64 (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y))))))) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 x (/.f64 #s(literal -1 binary64) y)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)))))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))))) (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)))))
(/.f64 (*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y y)))) (*.f64 (+.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x (/.f64 #s(literal 1 binary64) y)))) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))))) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 x (/.f64 #s(literal -1 binary64) y)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)))))
(/.f64 (*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x (+.f64 x (/.f64 #s(literal 1 binary64) y))))) (/.f64 (*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y y)))) (+.f64 x (/.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x (/.f64 #s(literal 1 binary64) y)))))) (+.f64 x (/.f64 #s(literal -1 binary64) y)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 z))
(+.f64 x (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y))
(+.f64 x (/.f64 (pow.f64 (/.f64 y z) y) y))
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 y x))))
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
Outputs
(+.f64 x (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+.f64 x (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) z)) y))
Calls

5 calls:

131.0ms
x
50.0ms
y
49.0ms
z
46.0ms
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
38.0ms
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
Results
AccuracySegmentsBranch
90.3%3x
99.8%3y
94.1%3z
92.6%4(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
96.2%5(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes89.0ms (0.6%)

Counts
61 → 3
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1 binary64) y)
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 (*.f64 y x) y)
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(*.f64 (*.f64 z (/.f64 z y)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x y))
(*.f64 (/.f64 z (/.f64 y z)) #s(literal 1/2 binary64))
(+.f64 x (/.f64 x (*.f64 y x)))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) y)
(*.f64 #s(literal -1/6 binary64) (*.f64 z (/.f64 (*.f64 z z) y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 y x)))
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) z)))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 1 binary64) y))))
(/.f64 (*.f64 x (neg.f64 x)) (-.f64 (/.f64 #s(literal 1 binary64) y) x))
(*.f64 (*.f64 z (/.f64 z y)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (/.f64 z (/.f64 y z)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(+.f64 x (/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x x)) (neg.f64 x))
(*.f64 z (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))) y))
(*.f64 (*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) y) z)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 z z))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z #s(literal -1/2 binary64))))) y))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 (/.f64 z y) (+.f64 #s(literal -1 binary64) (*.f64 z #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))) y)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) y) x))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) y) x))
(*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y z))) (neg.f64 (*.f64 z (*.f64 z z))))
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))) y))
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))))) y))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x x))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (*.f64 x x))
(+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) (*.f64 z (*.f64 (/.f64 z y) (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64)))))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 (/.f64 #s(literal 1 binary64) y) y))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 z (+.f64 (*.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) (/.f64 #s(literal -1 binary64) y))))
(*.f64 x (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64)))))) y))) x))))
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(literal 1 binary64))))) y)
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y))))))
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))))))))) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y))))))
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64)))) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64)))))) z) (-.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))) y))
(/.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x (*.f64 x x))) y)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 x (/.f64 #s(literal -1 binary64) y)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)))))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x x)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (+.f64 x (/.f64 #s(literal 1 binary64) y)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)))))
(+.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64)))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))))) y))
(/.f64 (*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x (+.f64 x (/.f64 #s(literal 1 binary64) y))))) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 x (/.f64 #s(literal -1 binary64) y)))) (/.f64 (/.f64 #s(literal 1 binary64) y) y))
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64)) (*.f64 z (*.f64 z z)))) (+.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 z (*.f64 z #s(literal -1/6 binary64))) (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) (*.f64 (*.f64 z #s(literal 1/2 binary64)) (*.f64 z (*.f64 z #s(literal -1/6 binary64)))))))))) y))
(/.f64 (*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x (+.f64 x (/.f64 #s(literal 1 binary64) y))))) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 x (/.f64 #s(literal -1 binary64) y)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)))))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x x)) (*.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 1 binary64) y) x))))))
(+.f64 x (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64)))))) (*.f64 (*.f64 z z) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64)))))) (-.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64)))))) #s(literal 1 binary64))))) y))
(/.f64 (*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)) (neg.f64 (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y))))))) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 x (/.f64 #s(literal -1 binary64) y)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)))))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))))) (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)))))
(/.f64 (*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y y)))) (*.f64 (+.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x (/.f64 #s(literal 1 binary64) y)))) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))))) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 x (/.f64 #s(literal -1 binary64) y)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)))))
(/.f64 (*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x (+.f64 x (/.f64 #s(literal 1 binary64) y))))) (/.f64 (*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y y)))) (+.f64 x (/.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x (/.f64 #s(literal 1 binary64) y)))))) (+.f64 x (/.f64 #s(literal -1 binary64) y)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 z))
Outputs
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 z))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
Calls

2 calls:

43.0ms
z
32.0ms
y
Results
AccuracySegmentsBranch
93.8%3z
90.0%2y
Compiler

Compiled 8 to 6 computations (25% saved)

regimes36.0ms (0.2%)

Counts
60 → 2
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1 binary64) y)
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 (*.f64 y x) y)
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(*.f64 (*.f64 z (/.f64 z y)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x y))
(*.f64 (/.f64 z (/.f64 y z)) #s(literal 1/2 binary64))
(+.f64 x (/.f64 x (*.f64 y x)))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) y)
(*.f64 #s(literal -1/6 binary64) (*.f64 z (/.f64 (*.f64 z z) y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 y x)))
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) z)))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 1 binary64) y))))
(/.f64 (*.f64 x (neg.f64 x)) (-.f64 (/.f64 #s(literal 1 binary64) y) x))
(*.f64 (*.f64 z (/.f64 z y)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (/.f64 z (/.f64 y z)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(+.f64 x (/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) y))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x x)) (neg.f64 x))
(*.f64 z (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))) y))
(*.f64 (*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) y) z)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 z z))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z #s(literal -1/2 binary64))))) y))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 (/.f64 z y) (+.f64 #s(literal -1 binary64) (*.f64 z #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))) y)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) y) x))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) y) x))
(*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal -1/2 binary64) (*.f64 y z))) (neg.f64 (*.f64 z (*.f64 z z))))
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))) y))
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))))) y))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x x))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (*.f64 x x))
(+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) (*.f64 z (*.f64 (/.f64 z y) (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64)))))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 (/.f64 #s(literal 1 binary64) y) y))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 z (+.f64 (*.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) (/.f64 #s(literal -1 binary64) y))))
(*.f64 x (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64)))))) y))) x))))
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(literal 1 binary64))))) y)
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y))))))
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 z (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)))))))))) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y))))))
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64)))) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64)))))) z) (-.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))) y))
(/.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x (*.f64 x x))) y)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 x (/.f64 #s(literal -1 binary64) y)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)))))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x x)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (+.f64 x (/.f64 #s(literal 1 binary64) y)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)))))
(+.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64)))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))))) y))
(/.f64 (*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x (+.f64 x (/.f64 #s(literal 1 binary64) y))))) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 x (/.f64 #s(literal -1 binary64) y)))) (/.f64 (/.f64 #s(literal 1 binary64) y) y))
(+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/216 binary64)) (*.f64 z (*.f64 z z)))) (+.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 z (*.f64 z #s(literal -1/6 binary64))) (*.f64 z (*.f64 z #s(literal -1/6 binary64)))) (*.f64 (*.f64 z #s(literal 1/2 binary64)) (*.f64 z (*.f64 z #s(literal -1/6 binary64)))))))))) y))
(/.f64 (*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x (+.f64 x (/.f64 #s(literal 1 binary64) y))))) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 x (/.f64 #s(literal -1 binary64) y)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)))))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x x)) (*.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 1 binary64) y) x))))))
(+.f64 x (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64)))))) (*.f64 (*.f64 z z) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64)))))) (-.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64)))))) #s(literal 1 binary64))))) y))
(/.f64 (*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)) (neg.f64 (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y))))))) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 x (/.f64 #s(literal -1 binary64) y)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)))))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))))) (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)))))
(/.f64 (*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y y)))) (*.f64 (+.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x (/.f64 #s(literal 1 binary64) y)))) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))))) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 x (/.f64 #s(literal -1 binary64) y)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)))))
(/.f64 (*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x (+.f64 x (/.f64 #s(literal 1 binary64) y))))) (/.f64 (*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y y)))) (+.f64 x (/.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x (/.f64 #s(literal 1 binary64) y)))))) (+.f64 x (/.f64 #s(literal -1 binary64) y)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)))))
Outputs
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) y)
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
Calls

1 calls:

32.0ms
z
Results
AccuracySegmentsBranch
91.2%2z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes11.0ms (0.1%)

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

2 calls:

7.0ms
z
3.0ms
y
Results
AccuracySegmentsBranch
88.2%1y
90.5%3z
Compiler

Compiled 8 to 6 computations (25% saved)

regimes12.0ms (0.1%)

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

3 calls:

4.0ms
x
4.0ms
y
3.0ms
z
Results
AccuracySegmentsBranch
69.6%5x
56.1%4z
71.4%3y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

0.0ms
x
0.0ms
y
0.0ms
z
Results
AccuracySegmentsBranch
50.8%1z
50.8%1x
50.8%1y
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch39.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×predicate-same
1×narrow-enough
Steps
TimeLeftRight
16.0ms
2.3446191453061826e-10
4.90745567725717e-7
20.0ms
-369776.6427815539
-4431.624125907904
Results
22.0ms208×0valid
4.0ms54×0invalid
Compiler

Compiled 295 to 223 computations (24.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-div: 4.0ms (23.1% of total)
ival-log: 4.0ms (23.1% of total)
ival-exp: 4.0ms (23.1% of total)
ival-add: 3.0ms (17.3% of total)
ival-mult: 2.0ms (11.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch131.0ms (0.9%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
40.0ms
-15234963.067654485
-1.6926997888244724
51.0ms
-1.9479962123480302e+90
-1.3227207421747898e+76
Results
53.0ms171×1valid
13.0ms133×0valid
10.0ms130×0invalid
Compiler

Compiled 403 to 310 computations (23.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-log: 21.0ms (37.1% of total)
ival-div: 10.0ms (17.6% of total)
ival-add: 9.0ms (15.9% of total)
backward-pass: 7.0ms (12.4% of total)
ival-exp: 5.0ms (8.8% of total)
ival-mult: 5.0ms (8.8% of total)
const: 0.0ms (0% of total)

bsearch40.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
36.0ms
-1248564361250.1453
-209704298.9367765
Results
23.0ms78×1valid
5.0ms50×0valid
3.0ms43×0invalid
Compiler

Compiled 182 to 135 computations (25.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-log: 8.0ms (37.4% of total)
ival-div: 4.0ms (18.7% of total)
ival-add: 3.0ms (14% of total)
ival-mult: 2.0ms (9.4% of total)
ival-exp: 2.0ms (9.4% of total)
backward-pass: 2.0ms (9.4% of total)
const: 0.0ms (0% of total)

bsearch125.0ms (0.8%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
80.0ms
4.90745567725717e-7
136928746839.16226
41.0ms
-1.003812765338034e-71
-2.818637315101274e-73
Results
105.0ms272×0valid
6.0ms80×0invalid
Compiler

Compiled 226 to 185 computations (18.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-add: 27.0ms (62.8% of total)
ival-log: 6.0ms (14% of total)
ival-div: 5.0ms (11.6% of total)
ival-mult: 3.0ms (7% of total)
ival-exp: 2.0ms (4.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

soundness1.0ms (0%)

Stop Event
1×fuel
Compiler

Compiled 93 to 59 computations (36.6% saved)

preprocess75.0ms (0.5%)

Compiler

Compiled 282 to 178 computations (36.9% saved)

end0.0ms (0%)

Profiling

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