Octave 3.8, jcobi/4, as called

Time bar (total: 5.7s)

analyze4.0ms (0.1%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
0%0%50%50%0%0%0%1
50%25%25%50%0%0%0%2
50%25%25%50%0%0%0%3
75%37.5%12.5%50%0%0%0%4
87.5%43.7%6.2%50%0%0%0%5
93.8%46.9%3.1%50%0%0%0%6
96.9%48.4%1.6%50%0%0%0%7
98.4%49.2%0.8%50%0%0%0%8
99.2%49.6%0.4%50%0%0%0%9
99.6%49.8%0.2%50%0%0%0%10
99.8%49.9%0.1%50%0%0%0%11
99.9%49.9%0%50%0%0%0%12
Compiler

Compiled 29 to 12 computations (58.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-mult: 1.0ms (48.8% of total)
ival-sub: 0.0ms (0% of total)
ival-div: 0.0ms (0% of total)
const: 0.0ms (0% of total)
ival->: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample992.0ms (17.3%)

Results
743.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 488.0ms
ival-mult: 249.0ms (51% of total)
ival-div: 116.0ms (23.8% of total)
ival-sub: 58.0ms (11.9% of total)
ival->: 45.0ms (9.2% of total)
const: 16.0ms (3.3% of total)
backward-pass: 3.0ms (0.6% of total)
Bogosity

preprocess327.0ms (5.7%)

Algorithm
egg-herbie
Rules
4808×*-lowering-*.f32
4808×*-lowering-*.f64
3132×/-lowering-/.f32
3132×/-lowering-/.f64
1672×associate-/r/
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01964
18855
258836
3441236
01021
14018
219312
3108612
4376011
5581211
0825211
Stop Event
iter limit
node limit
node limit
Calls
Call 1
Inputs
(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1))
Outputs
(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1))
(*.f64 i (/.f64 i (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64))))
Call 2
Inputs
(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1))
(/ (/ (* (* (neg i) (neg i)) (* (neg i) (neg i))) (* (* 2 (neg i)) (* 2 (neg i)))) (- (* (* 2 (neg i)) (* 2 (neg i))) 1))
(neg (/ (/ (* (* (neg i) (neg i)) (* (neg i) (neg i))) (* (* 2 (neg i)) (* 2 (neg i)))) (- (* (* 2 (neg i)) (* 2 (neg i))) 1)))
Outputs
(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1))
(* i (* i (/ 1/4 (fnmsub i (* i -4) 1))))
(/ (/ (* (* (neg i) (neg i)) (* (neg i) (neg i))) (* (* 2 (neg i)) (* 2 (neg i)))) (- (* (* 2 (neg i)) (* 2 (neg i))) 1))
(* i (* i (/ 1/4 (fnmsub i (* i -4) 1))))
(neg (/ (/ (* (* (neg i) (neg i)) (* (neg i) (neg i))) (* (* 2 (neg i)) (* 2 (neg i)))) (- (* (* 2 (neg i)) (* 2 (neg i))) 1)))
(* i (* i (/ 1/4 (fnmsub i (* i 4) -1))))
Symmetry

(abs i)

explain124.0ms (2.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1980-1(1.3574247866080407e-78)(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
680-0-(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
00-0-(*.f64 #s(literal 2 binary64) i)
00-0-#s(literal 2 binary64)
00-0-i
00-0-(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
00-0-(*.f64 (*.f64 i i) (*.f64 i i))
00-0-(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
00-0-(*.f64 i i)
00-0-#s(literal 1 binary64)
Results
82.0ms512×0valid
Compiler

Compiled 174 to 32 computations (81.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 14.0ms (55.8% of total)
ival-div: 7.0ms (27.9% of total)
ival-sub: 3.0ms (12% of total)
const: 1.0ms (4% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 12 to 8 computations (33.3% saved)

prune3.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
24.8%
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
74.2%
(*.f64 i (/.f64 i (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64))))
Compiler

Compiled 38 to 18 computations (52.6% saved)

simplify252.0ms (4.4%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff128
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
cost-diff128
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
cost-diff640
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
cost-diff896
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
cost-diff0
(*.f64 (*.f64 i i) #s(literal 16 binary64))
cost-diff0
(+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64))
cost-diff0
(/.f64 i (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)))
cost-diff0
(*.f64 i (/.f64 i (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64))))
Rules
4816×*-lowering-*.f32
4816×*-lowering-*.f64
3132×/-lowering-/.f32
3132×/-lowering-/.f64
1670×associate-/r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01686
15381
221273
3110573
4373773
5580073
0823473
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* i (/ i (+ (* (* i i) 16) -4)))
i
(/ i (+ (* (* i i) 16) -4))
(+ (* (* i i) 16) -4)
(* (* i i) 16)
(* i i)
16
-4
(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1))
(/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))
(* (* i i) (* i i))
(* i i)
i
(* (* 2 i) (* 2 i))
(* 2 i)
2
(- (* (* 2 i) (* 2 i)) 1)
1
Outputs
(* i (/ i (+ (* (* i i) 16) -4)))
(/.f64 (*.f64 i i) (+.f64 #s(literal -4 binary64) (*.f64 (*.f64 i i) #s(literal 16 binary64))))
i
(/ i (+ (* (* i i) 16) -4))
(/.f64 i (+.f64 #s(literal -4 binary64) (*.f64 (*.f64 i i) #s(literal 16 binary64))))
(+ (* (* i i) 16) -4)
(+.f64 #s(literal -4 binary64) (*.f64 (*.f64 i i) #s(literal 16 binary64)))
(* (* i i) 16)
(*.f64 (*.f64 i i) #s(literal 16 binary64))
(* i i)
(*.f64 i i)
16
#s(literal 16 binary64)
-4
#s(literal -4 binary64)
(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1))
(/.f64 (*.f64 i i) (+.f64 #s(literal -4 binary64) (*.f64 (*.f64 i i) #s(literal 16 binary64))))
(/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))
(/.f64 (*.f64 i i) #s(literal 4 binary64))
(* (* i i) (* i i))
(*.f64 i (*.f64 i (*.f64 i i)))
(* i i)
(*.f64 i i)
i
(* (* 2 i) (* 2 i))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
2
#s(literal 2 binary64)
(- (* (* 2 i) (* 2 i)) 1)
(+.f64 (*.f64 (*.f64 i i) #s(literal 4 binary64)) #s(literal -1 binary64))
1
#s(literal 1 binary64)

localize111.0ms (1.9%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
accuracy99.9%
(*.f64 (*.f64 i i) (*.f64 i i))
accuracy74.3%
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
accuracy30.8%
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
accuracy100.0%
(+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64))
accuracy100.0%
(*.f64 (*.f64 i i) #s(literal 16 binary64))
accuracy99.9%
(*.f64 i (/.f64 i (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64))))
accuracy75.2%
(/.f64 i (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)))
Results
69.0ms256×0valid
Compiler

Compiled 112 to 17 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-mult: 44.0ms (84.2% of total)
ival-div: 5.0ms (9.6% of total)
ival-sub: 1.0ms (1.9% of total)
ival-add: 1.0ms (1.9% of total)
const: 1.0ms (1.9% of total)
backward-pass: 0.0ms (0% of total)

series6.0ms (0.1%)

Counts
9 → 108
Calls
Call 1
Inputs
#<alt (* i (/ i (+ (* (* i i) 16) -4)))>
#<alt (/ i (+ (* (* i i) 16) -4))>
#<alt (+ (* (* i i) 16) -4)>
#<alt (* (* i i) 16)>
#<alt (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1))>
#<alt (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))>
#<alt (* (* 2 i) (* 2 i))>
#<alt (- (* (* 2 i) (* 2 i)) 1)>
#<alt (* (* i i) (* i i))>
Outputs
#<alt (* -1/4 (pow i 2))>
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))>
#<alt (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))>
#<alt (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))>
#<alt (* -1/4 i)>
#<alt (* i (- (* -1 (pow i 2)) 1/4))>
#<alt (* i (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))>
#<alt (* i (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))>
#<alt (/ 1/16 i)>
#<alt (/ (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) i)>
#<alt (/ (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) i)>
#<alt (/ (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) i)>
#<alt (/ 1/16 i)>
#<alt (/ (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) i)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/64 (* 1/256 (/ 1 (pow i 2)))) (pow i 2))) 1/16) i))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/256 (* 1/1024 (/ 1 (pow i 2)))) (pow i 4))) (+ 1/16 (* 1/64 (/ 1 (pow i 2))))) i))>
#<alt -4>
#<alt (- (* 16 (pow i 2)) 4)>
#<alt (- (* 16 (pow i 2)) 4)>
#<alt (- (* 16 (pow i 2)) 4)>
#<alt (* 16 (pow i 2))>
#<alt (* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))>
#<alt (* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))>
#<alt (* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))>
#<alt (* 16 (pow i 2))>
#<alt (* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))>
#<alt (* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))>
#<alt (* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))>
#<alt (* 16 (pow i 2))>
#<alt (* 16 (pow i 2))>
#<alt (* 16 (pow i 2))>
#<alt (* 16 (pow i 2))>
#<alt (* 16 (pow i 2))>
#<alt (* 16 (pow i 2))>
#<alt (* 16 (pow i 2))>
#<alt (* 16 (pow i 2))>
#<alt (* 16 (pow i 2))>
#<alt (* 16 (pow i 2))>
#<alt (* 16 (pow i 2))>
#<alt (* 16 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))>
#<alt (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))>
#<alt (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 1/4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt (* 4 (pow i 2))>
#<alt -1>
#<alt (- (* 4 (pow i 2)) 1)>
#<alt (- (* 4 (pow i 2)) 1)>
#<alt (- (* 4 (pow i 2)) 1)>
#<alt (* 4 (pow i 2))>
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))>
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))>
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))>
#<alt (* 4 (pow i 2))>
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))>
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))>
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
#<alt (pow i 4)>
Calls

27 calls:

TimeVariablePointExpression
1.0ms
i
@inf
(/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))
0.0ms
i
@inf
(* i (/ i (+ (* (* i i) 16) -4)))
0.0ms
i
@0
(* i (/ i (+ (* (* i i) 16) -4)))
0.0ms
i
@0
(+ (* (* i i) 16) -4)
0.0ms
i
@inf
(* (* 2 i) (* 2 i))

rewrite342.0ms (6%)

Algorithm
batch-egg-rewrite
Rules
5958×*-lowering-*.f32
5958×*-lowering-*.f64
3702×/-lowering-/.f32
3702×/-lowering-/.f64
1090×frac-times
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01676
110368
291260
0882160
Stop Event
iter limit
node limit
Counts
9 → 736
Calls
Call 1
Inputs
(* i (/ i (+ (* (* i i) 16) -4)))
(/ i (+ (* (* i i) 16) -4))
(+ (* (* i i) 16) -4)
(* (* i i) 16)
(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1))
(/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))
(* (* 2 i) (* 2 i))
(- (* (* 2 i) (* 2 i)) 1)
(* (* i i) (* i i))
Outputs
(+.f64 (*.f64 (/.f64 (*.f64 i i) (+.f64 (*.f64 i (*.f64 (*.f64 i i) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 4096 binary64)))) #s(literal -64 binary64))) (*.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 256 binary64))))) (*.f64 (/.f64 (*.f64 i i) (+.f64 (*.f64 i (*.f64 (*.f64 i i) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 4096 binary64)))) #s(literal -64 binary64))) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) #s(literal 64 binary64)))))
(+.f64 (*.f64 (/.f64 (*.f64 i i) (+.f64 (*.f64 i (*.f64 (*.f64 i i) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 4096 binary64)))) #s(literal -64 binary64))) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) #s(literal 64 binary64)))) (*.f64 (/.f64 (*.f64 i i) (+.f64 (*.f64 i (*.f64 (*.f64 i i) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 4096 binary64)))) #s(literal -64 binary64))) (*.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 256 binary64))))))
(+.f64 (*.f64 (/.f64 (*.f64 i i) (+.f64 (*.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 256 binary64)))) #s(literal -16 binary64))) (*.f64 i (*.f64 i #s(literal 16 binary64)))) (*.f64 (/.f64 (*.f64 i i) (+.f64 (*.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 256 binary64)))) #s(literal -16 binary64))) #s(literal 4 binary64)))
(+.f64 (*.f64 (*.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 256 binary64)))) (/.f64 (*.f64 i i) (+.f64 (*.f64 i (*.f64 (*.f64 i i) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 4096 binary64)))) #s(literal -64 binary64)))) (*.f64 (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) #s(literal 64 binary64))) (/.f64 (*.f64 i i) (+.f64 (*.f64 i (*.f64 (*.f64 i i) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 4096 binary64)))) #s(literal -64 binary64)))))
(+.f64 (*.f64 (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) #s(literal 64 binary64))) (/.f64 (*.f64 i i) (+.f64 (*.f64 i (*.f64 (*.f64 i i) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 4096 binary64)))) #s(literal -64 binary64)))) (*.f64 (*.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 256 binary64)))) (/.f64 (*.f64 i i) (+.f64 (*.f64 i (*.f64 (*.f64 i i) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 4096 binary64)))) #s(literal -64 binary64)))))
(+.f64 (*.f64 (*.f64 i (*.f64 i #s(literal 16 binary64))) (/.f64 (*.f64 i i) (+.f64 (*.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 256 binary64)))) #s(literal -16 binary64)))) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 i i) (+.f64 (*.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 256 binary64)))) #s(literal -16 binary64)))))
(neg.f64 (*.f64 (/.f64 i (-.f64 #s(literal 4 binary64) (*.f64 i (*.f64 i #s(literal 16 binary64))))) i))
(neg.f64 (*.f64 i (/.f64 i (-.f64 #s(literal 4 binary64) (*.f64 i (*.f64 i #s(literal 16 binary64)))))))
(neg.f64 (/.f64 (*.f64 i i) (-.f64 #s(literal 4 binary64) (*.f64 i (*.f64 i #s(literal 16 binary64))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) (+.f64 (*.f64 i (*.f64 i #s(literal 16 binary64))) #s(literal -4 binary64))))
(/.f64 i (/.f64 (+.f64 (*.f64 i (*.f64 i #s(literal 16 binary64))) #s(literal -4 binary64)) i))
(/.f64 (*.f64 i i) (+.f64 (*.f64 i (*.f64 i #s(literal 16 binary64))) #s(literal -4 binary64)))
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(exp.f64 (*.f64 (log.f64 i) #s(literal 4 binary64)))
(exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 i)) (*.f64 #s(literal 2 binary64) (log.f64 i))))
(-.f64 #s(literal 0 binary64) (*.f64 i (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i i)))))
(neg.f64 (*.f64 i (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i i)))))
(pow.f64 i #s(literal 4 binary64))
(pow.f64 (*.f64 i i) #s(literal 2 binary64))
(pow.f64 (*.f64 i (*.f64 i (*.f64 i i))) #s(literal 1 binary64))
(*.f64 i (*.f64 i (*.f64 i i)))
(*.f64 i (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i i)))))
(*.f64 i (*.f64 (*.f64 i (*.f64 i i)) #s(literal 1 binary64)))
(*.f64 (*.f64 i i) (*.f64 i i))
(*.f64 (*.f64 i i) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i))))
(*.f64 (*.f64 i (*.f64 i (*.f64 i i))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 i (*.f64 i (*.f64 i i))))
(*.f64 #s(literal -1 binary64) (*.f64 i (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i i)))))
(*.f64 (-.f64 #s(literal 0 binary64) i) (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i i))))
(*.f64 (*.f64 i (*.f64 i i)) i)
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) (-.f64 #s(literal 0 binary64) (*.f64 i i)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i i))) (-.f64 #s(literal 0 binary64) i))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i))) (*.f64 i i))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i i)))) i)

simplify215.0ms (3.8%)

Algorithm
egg-herbie
Rules
2330×*-lowering-*.f32
2330×*-lowering-*.f64
2038×fma-lowering-fma.f32
2038×fma-lowering-fma.f64
1492×+-lowering-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
077748
1193727
2496724
31328710
43546710
08283710
Stop Event
iter limit
node limit
Counts
108 → 108
Calls
Call 1
Inputs
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(* -1/4 i)
(* i (- (* -1 (pow i 2)) 1/4))
(* i (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* i (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(/ 1/16 i)
(/ (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) i)
(/ (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) i)
(/ (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) i)
(/ 1/16 i)
(/ (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) i)
(* -1 (/ (- (* -1 (/ (+ 1/64 (* 1/256 (/ 1 (pow i 2)))) (pow i 2))) 1/16) i))
(* -1 (/ (- (* -1 (/ (+ 1/256 (* 1/1024 (/ 1 (pow i 2)))) (pow i 4))) (+ 1/16 (* 1/64 (/ 1 (pow i 2))))) i))
-4
(- (* 16 (pow i 2)) 4)
(- (* 16 (pow i 2)) 4)
(- (* 16 (pow i 2)) 4)
(* 16 (pow i 2))
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))
(* 16 (pow i 2))
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))
(* 16 (pow i 2))
(* 16 (pow i 2))
(* 16 (pow i 2))
(* 16 (pow i 2))
(* 16 (pow i 2))
(* 16 (pow i 2))
(* 16 (pow i 2))
(* 16 (pow i 2))
(* 16 (pow i 2))
(* 16 (pow i 2))
(* 16 (pow i 2))
(* 16 (pow i 2))
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
-1
(- (* 4 (pow i 2)) 1)
(- (* 4 (pow i 2)) 1)
(- (* 4 (pow i 2)) 1)
(* 4 (pow i 2))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* 4 (pow i 2))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
(pow i 4)
Outputs
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(*.f64 (*.f64 i i) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 i i) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 i i) #s(literal -4 binary64))))))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(*.f64 (*.f64 i i) (+.f64 #s(literal -1/4 binary64) (*.f64 i (*.f64 i (+.f64 #s(literal -1 binary64) (*.f64 i (*.f64 i (+.f64 #s(literal -4 binary64) (*.f64 (*.f64 i i) #s(literal -16 binary64))))))))))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))))
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* i (- (* -1 (pow i 2)) 1/4))
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* i (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(*.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 i i) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 i i) #s(literal -4 binary64))))))
(* i (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(*.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i (*.f64 i (+.f64 #s(literal -1 binary64) (*.f64 i (*.f64 i (+.f64 #s(literal -4 binary64) (*.f64 (*.f64 i i) #s(literal -16 binary64))))))))))
(/ 1/16 i)
(/.f64 #s(literal 1/16 binary64) i)
(/ (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) i)
(/.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) i)
(/ (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) i)
(/.f64 (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) i)
(/ (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) i)
(/.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))) i)
(/ 1/16 i)
(/.f64 #s(literal 1/16 binary64) i)
(/ (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) i)
(/.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) i)
(* -1 (/ (- (* -1 (/ (+ 1/64 (* 1/256 (/ 1 (pow i 2)))) (pow i 2))) 1/16) i))
(/.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 (-.f64 #s(literal 1/64 binary64) (/.f64 #s(literal -1/256 binary64) (*.f64 i i))) (*.f64 i i))) i)
(* -1 (/ (- (* -1 (/ (+ 1/256 (* 1/1024 (/ 1 (pow i 2)))) (pow i 4))) (+ 1/16 (* 1/64 (/ 1 (pow i 2))))) i))
(/.f64 (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (/.f64 (+.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/1024 binary64) (*.f64 i i))) (*.f64 i (*.f64 i (*.f64 i i)))))) i)
-4
#s(literal -4 binary64)
(- (* 16 (pow i 2)) 4)
(+.f64 #s(literal -4 binary64) (*.f64 (*.f64 i i) #s(literal 16 binary64)))
(- (* 16 (pow i 2)) 4)
(+.f64 #s(literal -4 binary64) (*.f64 (*.f64 i i) #s(literal 16 binary64)))
(- (* 16 (pow i 2)) 4)
(+.f64 #s(literal -4 binary64) (*.f64 (*.f64 i i) #s(literal 16 binary64)))
(* 16 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 16 binary64))
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))
(+.f64 #s(literal -4 binary64) (*.f64 (*.f64 i i) #s(literal 16 binary64)))
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))
(+.f64 #s(literal -4 binary64) (*.f64 (*.f64 i i) #s(literal 16 binary64)))
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))
(+.f64 #s(literal -4 binary64) (*.f64 (*.f64 i i) #s(literal 16 binary64)))
(* 16 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 16 binary64))
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))
(+.f64 #s(literal -4 binary64) (*.f64 (*.f64 i i) #s(literal 16 binary64)))
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))
(+.f64 #s(literal -4 binary64) (*.f64 (*.f64 i i) #s(literal 16 binary64)))
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))
(+.f64 #s(literal -4 binary64) (*.f64 (*.f64 i i) #s(literal 16 binary64)))
(* 16 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 16 binary64))
(* 16 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 16 binary64))
(* 16 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 16 binary64))
(* 16 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 16 binary64))
(* 16 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 16 binary64))
(* 16 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 16 binary64))
(* 16 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 16 binary64))
(* 16 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 16 binary64))
(* 16 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 16 binary64))
(* 16 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 16 binary64))
(* 16 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 16 binary64))
(* 16 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 16 binary64))
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(*.f64 (*.f64 i i) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 i i) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 i i) #s(literal -4 binary64))))))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(*.f64 (*.f64 i i) (+.f64 #s(literal -1/4 binary64) (*.f64 i (*.f64 i (+.f64 #s(literal -1 binary64) (*.f64 i (*.f64 i (+.f64 #s(literal -4 binary64) (*.f64 (*.f64 i i) #s(literal -16 binary64))))))))))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))))
(* 1/4 (pow i 2))
(*.f64 i (*.f64 i #s(literal 1/4 binary64)))
(* 1/4 (pow i 2))
(*.f64 i (*.f64 i #s(literal 1/4 binary64)))
(* 1/4 (pow i 2))
(*.f64 i (*.f64 i #s(literal 1/4 binary64)))
(* 1/4 (pow i 2))
(*.f64 i (*.f64 i #s(literal 1/4 binary64)))
(* 1/4 (pow i 2))
(*.f64 i (*.f64 i #s(literal 1/4 binary64)))
(* 1/4 (pow i 2))
(*.f64 i (*.f64 i #s(literal 1/4 binary64)))
(* 1/4 (pow i 2))
(*.f64 i (*.f64 i #s(literal 1/4 binary64)))
(* 1/4 (pow i 2))
(*.f64 i (*.f64 i #s(literal 1/4 binary64)))
(* 1/4 (pow i 2))
(*.f64 i (*.f64 i #s(literal 1/4 binary64)))
(* 1/4 (pow i 2))
(*.f64 i (*.f64 i #s(literal 1/4 binary64)))
(* 1/4 (pow i 2))
(*.f64 i (*.f64 i #s(literal 1/4 binary64)))
(* 1/4 (pow i 2))
(*.f64 i (*.f64 i #s(literal 1/4 binary64)))
(* 4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
-1
#s(literal -1 binary64)
(- (* 4 (pow i 2)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 i i) #s(literal 4 binary64)))
(- (* 4 (pow i 2)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 i i) #s(literal 4 binary64)))
(- (* 4 (pow i 2)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 i i) #s(literal 4 binary64)))
(* 4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 i i) #s(literal 4 binary64)))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 i i) #s(literal 4 binary64)))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 i i) #s(literal 4 binary64)))
(* 4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 i i) #s(literal 4 binary64)))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 i i) #s(literal 4 binary64)))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 i i) #s(literal 4 binary64)))
(pow i 4)
(*.f64 i (*.f64 i (*.f64 i i)))
(pow i 4)
(*.f64 i (*.f64 i (*.f64 i i)))
(pow i 4)
(*.f64 i (*.f64 i (*.f64 i i)))
(pow i 4)
(*.f64 i (*.f64 i (*.f64 i i)))
(pow i 4)
(*.f64 i (*.f64 i (*.f64 i i)))
(pow i 4)
(*.f64 i (*.f64 i (*.f64 i i)))
(pow i 4)
(*.f64 i (*.f64 i (*.f64 i i)))
(pow i 4)
(*.f64 i (*.f64 i (*.f64 i i)))
(pow i 4)
(*.f64 i (*.f64 i (*.f64 i i)))
(pow i 4)
(*.f64 i (*.f64 i (*.f64 i i)))
(pow i 4)
(*.f64 i (*.f64 i (*.f64 i i)))
(pow i 4)
(*.f64 i (*.f64 i (*.f64 i i)))

eval101.0ms (1.8%)

Compiler

Compiled 23393 to 2296 computations (90.2% saved)

prune104.0ms (1.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New8855890
Fresh000
Picked112
Done000
Total8866892
Accuracy
100.0%
Counts
892 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.7%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (*.f64 i (*.f64 i #s(literal 16 binary64))) #s(literal -4 binary64)) i) i))
49.3%
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
74.2%
(*.f64 i (/.f64 i (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64))))
51.3%
(*.f64 i (/.f64 i #s(literal -4 binary64)))
51.5%
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
49.8%
#s(literal 1/16 binary64)
Compiler

Compiled 92 to 64 computations (30.4% saved)

simplify194.0ms (3.4%)

Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 i i)
cost-diff0
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
cost-diff0
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
cost-diff0
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
cost-diff0
(*.f64 i i)
cost-diff0
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
cost-diff0
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
cost-diff0
(/.f64 i #s(literal -4 binary64))
cost-diff0
(*.f64 i (/.f64 i #s(literal -4 binary64)))
cost-diff0
(+.f64 (*.f64 i (*.f64 i #s(literal 16 binary64))) #s(literal -4 binary64))
cost-diff128
(/.f64 (+.f64 (*.f64 i (*.f64 i #s(literal 16 binary64))) #s(literal -4 binary64)) i)
cost-diff256
(/.f64 (/.f64 (+.f64 (*.f64 i (*.f64 i #s(literal 16 binary64))) #s(literal -4 binary64)) i) i)
cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (*.f64 i (*.f64 i #s(literal 16 binary64))) #s(literal -4 binary64)) i) i))
Rules
1676×fma-define
1470×sum3-define
1448×fnmadd-define
1144×sum5-define
1126×fmsub-define
Iterations

Useful iterations: 13 (0.0ms)

IterNodesCost
021102
145102
27598
314298
428298
541698
661998
795398
8301098
9349198
10392698
11449998
12536998
13653392
0822792
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ 1 (/ (/ (+ (* i (* i 16)) -4) i) i))
1
(/ (/ (+ (* i (* i 16)) -4) i) i)
(/ (+ (* i (* i 16)) -4) i)
(+ (* i (* i 16)) -4)
(* i (* i 16))
i
(* i 16)
16
-4
1/16
(* i (/ i -4))
i
(/ i -4)
-4
(+ 1/16 (/ 1/64 (* i i)))
1/16
(/ 1/64 (* i i))
1/64
(* i i)
i
(* i (* i (- -1/4 (* i i))))
i
(* i (- -1/4 (* i i)))
(- -1/4 (* i i))
-1/4
(* i i)
Outputs
(/ 1 (/ (/ (+ (* i (* i 16)) -4) i) i))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal -4 binary64) i) i) #s(literal 16 binary64)))
1
#s(literal 1 binary64)
(/ (/ (+ (* i (* i 16)) -4) i) i)
(+.f64 (/.f64 (/.f64 #s(literal -4 binary64) i) i) #s(literal 16 binary64))
(/ (+ (* i (* i 16)) -4) i)
(+.f64 (/.f64 #s(literal -4 binary64) i) (*.f64 i #s(literal 16 binary64)))
(+ (* i (* i 16)) -4)
(+.f64 (*.f64 i (*.f64 i #s(literal 16 binary64))) #s(literal -4 binary64))
(* i (* i 16))
(*.f64 i (*.f64 i #s(literal 16 binary64)))
i
(* i 16)
(*.f64 i #s(literal 16 binary64))
16
#s(literal 16 binary64)
-4
#s(literal -4 binary64)
1/16
#s(literal 1/16 binary64)
(* i (/ i -4))
(/.f64 (*.f64 i i) #s(literal -4 binary64))
i
(/ i -4)
(/.f64 i #s(literal -4 binary64))
-4
#s(literal -4 binary64)
(+ 1/16 (/ 1/64 (* i i)))
(-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/64 binary64) (*.f64 i i)))
1/16
#s(literal 1/16 binary64)
(/ 1/64 (* i i))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
1/64
#s(literal 1/64 binary64)
(* i i)
(*.f64 i i)
i
(* i (* i (- -1/4 (* i i))))
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
i
(* i (- -1/4 (* i i)))
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(- -1/4 (* i i))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
-1/4
#s(literal -1/4 binary64)
(* i i)
(*.f64 i i)

localize93.0ms (1.6%)

Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
accuracy100.0%
(*.f64 i i)
accuracy100.0%
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
accuracy99.9%
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
accuracy100.0%
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
accuracy100.0%
(*.f64 i i)
accuracy99.8%
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
accuracy100.0%
(/.f64 i #s(literal -4 binary64))
accuracy100.0%
(*.f64 i (/.f64 i #s(literal -4 binary64)))
accuracy100.0%
(+.f64 (*.f64 i (*.f64 i #s(literal 16 binary64))) #s(literal -4 binary64))
accuracy99.9%
(/.f64 (/.f64 (+.f64 (*.f64 i (*.f64 i #s(literal 16 binary64))) #s(literal -4 binary64)) i) i)
accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (*.f64 i (*.f64 i #s(literal 16 binary64))) #s(literal -4 binary64)) i) i))
accuracy75.3%
(/.f64 (+.f64 (*.f64 i (*.f64 i #s(literal 16 binary64))) #s(literal -4 binary64)) i)
Results
67.0ms256×0valid
Compiler

Compiled 109 to 22 computations (79.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 15.0ms (50.9% of total)
ival-div: 9.0ms (30.6% of total)
ival-add: 4.0ms (13.6% of total)
ival-sub: 1.0ms (3.4% of total)
const: 1.0ms (3.4% of total)
backward-pass: 0.0ms (0% of total)

series7.0ms (0.1%)

Counts
12 → 144
Calls
Call 1
Inputs
#<alt (/ 1 (/ (/ (+ (* i (* i 16)) -4) i) i))>
#<alt (/ (/ (+ (* i (* i 16)) -4) i) i)>
#<alt (/ (+ (* i (* i 16)) -4) i)>
#<alt (+ (* i (* i 16)) -4)>
#<alt (* i (/ i -4))>
#<alt (/ i -4)>
#<alt (+ 1/16 (/ 1/64 (* i i)))>
#<alt (/ 1/64 (* i i))>
#<alt (* i i)>
#<alt (* i (* i (- -1/4 (* i i))))>
#<alt (* i (- -1/4 (* i i)))>
#<alt (- -1/4 (* i i))>
Outputs
#<alt (* -1/4 (pow i 2))>
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))>
#<alt (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))>
#<alt (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))>
#<alt (/ -4 (pow i 2))>
#<alt (/ (- (* 16 (pow i 2)) 4) (pow i 2))>
#<alt (/ (- (* 16 (pow i 2)) 4) (pow i 2))>
#<alt (/ (- (* 16 (pow i 2)) 4) (pow i 2))>
#<alt 16>
#<alt (- 16 (* 4 (/ 1 (pow i 2))))>
#<alt (- 16 (* 4 (/ 1 (pow i 2))))>
#<alt (- 16 (* 4 (/ 1 (pow i 2))))>
#<alt 16>
#<alt (- 16 (* 4 (/ 1 (pow i 2))))>
#<alt (- 16 (* 4 (/ 1 (pow i 2))))>
#<alt (- 16 (* 4 (/ 1 (pow i 2))))>
#<alt (/ -4 i)>
#<alt (/ (- (* 16 (pow i 2)) 4) i)>
#<alt (/ (- (* 16 (pow i 2)) 4) i)>
#<alt (/ (- (* 16 (pow i 2)) 4) i)>
#<alt (* 16 i)>
#<alt (* i (- 16 (* 4 (/ 1 (pow i 2)))))>
#<alt (* i (- 16 (* 4 (/ 1 (pow i 2)))))>
#<alt (* i (- 16 (* 4 (/ 1 (pow i 2)))))>
#<alt (* 16 i)>
#<alt (* -1 (* i (- (* 4 (/ 1 (pow i 2))) 16)))>
#<alt (* -1 (* i (- (* 4 (/ 1 (pow i 2))) 16)))>
#<alt (* -1 (* i (- (* 4 (/ 1 (pow i 2))) 16)))>
#<alt -4>
#<alt (- (* 16 (pow i 2)) 4)>
#<alt (- (* 16 (pow i 2)) 4)>
#<alt (- (* 16 (pow i 2)) 4)>
#<alt (* 16 (pow i 2))>
#<alt (* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))>
#<alt (* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))>
#<alt (* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))>
#<alt (* 16 (pow i 2))>
#<alt (* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))>
#<alt (* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))>
#<alt (* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))>
#<alt (/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))>
#<alt (/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (* -1/4 (pow i 2))>
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))>
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))>
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))>
#<alt (* -1 (pow i 4))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (pow i 4))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1/4 i)>
#<alt (* i (- (* -1 (pow i 2)) 1/4))>
#<alt (* i (- (* -1 (pow i 2)) 1/4))>
#<alt (* i (- (* -1 (pow i 2)) 1/4))>
#<alt (* -1 (pow i 3))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (pow i 3))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt -1/4>
#<alt (- (* -1 (pow i 2)) 1/4)>
#<alt (- (* -1 (pow i 2)) 1/4)>
#<alt (- (* -1 (pow i 2)) 1/4)>
#<alt (* -1 (pow i 2))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (pow i 2))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
Calls

36 calls:

TimeVariablePointExpression
1.0ms
i
@0
(* i (- -1/4 (* i i)))
0.0ms
i
@inf
(* i (* i (- -1/4 (* i i))))
0.0ms
i
@0
(* i (* i (- -1/4 (* i i))))
0.0ms
i
@inf
(* i (/ i -4))
0.0ms
i
@0
(/ 1/64 (* i i))

rewrite338.0ms (5.9%)

Algorithm
batch-egg-rewrite
Rules
4284×*-lowering-*.f32
4284×*-lowering-*.f64
3584×/-lowering-/.f32
3584×/-lowering-/.f64
1178×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02179
112077
283674
0810974
Stop Event
iter limit
node limit
Counts
12 → 586
Calls
Call 1
Inputs
(/ 1 (/ (/ (+ (* i (* i 16)) -4) i) i))
(/ (/ (+ (* i (* i 16)) -4) i) i)
(/ (+ (* i (* i 16)) -4) i)
(+ (* i (* i 16)) -4)
(* i (/ i -4))
(/ i -4)
(+ 1/16 (/ 1/64 (* i i)))
(/ 1/64 (* i i))
(* i i)
(* i (* i (- -1/4 (* i i))))
(* i (- -1/4 (* i i)))
(- -1/4 (* i i))
Outputs
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 i i)) #s(literal -4 binary64)) (*.f64 i i)))))
(-.f64 #s(literal 0 binary64) (*.f64 i (/.f64 i (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 i i) #s(literal -16 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 i i) #s(literal -16 binary64))) i)) (*.f64 i (/.f64 i (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 i i) #s(literal -16 binary64))))))
(neg.f64 (*.f64 i (/.f64 i (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 i i) #s(literal -16 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 i i)) #s(literal -4 binary64)) (*.f64 i i)))
(/.f64 i (/.f64 (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 i i)) #s(literal -4 binary64)) i))
(/.f64 (*.f64 i i) (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 i i)) #s(literal -4 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 i i) #s(literal -16 binary64))) (*.f64 i i)))
(/.f64 (-.f64 #s(literal 0 binary64) i) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 i i) #s(literal -16 binary64))) i))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 i i) #s(literal -16 binary64))))
(/.f64 (/.f64 (*.f64 i i) (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 i i)) #s(literal -4 binary64))) #s(literal 1 binary64))
(/.f64 (/.f64 i (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 i i)) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) i))
(/.f64 (*.f64 i (/.f64 i (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 i i) #s(literal -16 binary64))))) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 i i)) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 i i)))
(/.f64 (/.f64 i (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 i i) #s(literal -16 binary64)))) (/.f64 #s(literal -1 binary64) i))
(/.f64 (/.f64 i (/.f64 #s(literal 1 binary64) i)) (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 i i)) #s(literal -4 binary64)))
(/.f64 (/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) (*.f64 (*.f64 i i) #s(literal 4096 binary64))) #s(literal -64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) (-.f64 (*.f64 (*.f64 i i) #s(literal 256 binary64)) #s(literal -64 binary64))))))
(/.f64 (/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 256 binary64))) #s(literal -16 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 i i)) #s(literal 4 binary64))))
(pow.f64 (/.f64 (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 i i)) #s(literal -4 binary64)) (*.f64 i i)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 i i) (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 i i)) #s(literal -4 binary64))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 i i)) #s(literal -4 binary64)) (*.f64 i i)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 i i)) #s(literal -4 binary64)) (*.f64 i i)) (/.f64 (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 i i)) #s(literal -4 binary64)) (*.f64 i i))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 i i)) #s(literal -4 binary64)) (*.f64 i i)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 i i)) #s(literal -4 binary64))))
(*.f64 i (/.f64 i (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 i i)) #s(literal -4 binary64))))
(*.f64 (*.f64 i i) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 i i)) #s(literal -4 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 i (/.f64 i (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 i i) #s(literal -16 binary64))))))
(*.f64 (-.f64 #s(literal 0 binary64) i) (/.f64 i (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 i i) #s(literal -16 binary64)))))
(*.f64 (/.f64 (*.f64 i i) (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 i i)) #s(literal -4 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 i (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 i i)) #s(literal -4 binary64))) i)
(*.f64 (*.f64 i (/.f64 i (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 i i) #s(literal -16 binary64))))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 i i)) #s(literal -4 binary64))) (*.f64 i i))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 i i)) #s(literal -4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 i i)) #s(literal -4 binary64))) (/.f64 i (/.f64 #s(literal 1 binary64) i)))
(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 i i)) #s(literal -4 binary64)) (*.f64 i i)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 i i)) #s(literal -4 binary64)) (*.f64 i i)) #s(literal -1/2 binary64)))
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(-.f64 (/.f64 #s(literal -1/64 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))))) (/.f64 (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i))) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))))))
(-.f64 (/.f64 #s(literal 1/16 binary64) (+.f64 (*.f64 i i) #s(literal -1/4 binary64))) (/.f64 (*.f64 i (*.f64 i (*.f64 i i))) (+.f64 (*.f64 i i) #s(literal -1/4 binary64))))
(fma.f64 i (-.f64 #s(literal 0 binary64) i) #s(literal -1/4 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 i i) #s(literal -1/4 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) i) i #s(literal -1/4 binary64))
(neg.f64 (/.f64 (-.f64 #s(literal -1/64 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i)))) (+.f64 #s(literal -1/16 binary64) (neg.f64 (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64))))))))
(neg.f64 (/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) #s(literal 1/4 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/64 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i))))) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))))))
(neg.f64 (/.f64 (+.f64 #s(literal -1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (+.f64 (*.f64 i i) #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) #s(literal -1/4 binary64)))) (-.f64 #s(literal -1/64 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))))
(/.f64 (-.f64 #s(literal -1/64 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i)))) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64))))))
(/.f64 (-.f64 #s(literal -1/64 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i)))) (+.f64 #s(literal 1/16 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) #s(literal -1/4 binary64)))))
(/.f64 (-.f64 #s(literal -1/64 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i)))) (+.f64 (*.f64 i (*.f64 i (*.f64 i i))) (-.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 i i)))))
(/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/64 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i))))) (+.f64 #s(literal -1/16 binary64) (neg.f64 (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/64 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i))))) (neg.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) #s(literal -1/4 binary64))))))
(/.f64 (+.f64 #s(literal -1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) #s(literal 1/4 binary64)))
(/.f64 (-.f64 #s(literal -1/262144 binary64) (*.f64 (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i))) (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) (*.f64 i (*.f64 i (*.f64 i i))))))) (*.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64))))) (+.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i))) (+.f64 #s(literal -1/64 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i))))))))
(/.f64 (-.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) (*.f64 i (*.f64 i (*.f64 i i)))))) (*.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64))))) (+.f64 #s(literal -1/64 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i))))))
(/.f64 (-.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) (*.f64 i (*.f64 i (*.f64 i i)))))) (*.f64 (+.f64 (*.f64 i i) #s(literal -1/4 binary64)) (+.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))))
(/.f64 (-.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) (*.f64 i (*.f64 i (*.f64 i i))))) (*.f64 (+.f64 (*.f64 i i) #s(literal -1/4 binary64)) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))
(/.f64 (-.f64 (*.f64 #s(literal -1/64 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))))) (*.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64))))) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i))))) (*.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64))))) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (+.f64 (*.f64 i i) #s(literal -1/4 binary64))) (*.f64 (+.f64 (*.f64 i i) #s(literal -1/4 binary64)) (*.f64 i (*.f64 i (*.f64 i i))))) (*.f64 (+.f64 (*.f64 i i) #s(literal -1/4 binary64)) (+.f64 (*.f64 i i) #s(literal -1/4 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/64 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i)))))) (neg.f64 (+.f64 #s(literal -1/16 binary64) (neg.f64 (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64))))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) #s(literal 1/4 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/64 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i))) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal -1/64 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))))) (/.f64 #s(literal -1/64 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64))))))) (+.f64 (*.f64 (/.f64 (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i))) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))))) (/.f64 (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i))) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64))))))) (*.f64 (/.f64 #s(literal -1/64 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))))) (/.f64 (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i))) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64))))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/16 binary64) (+.f64 (*.f64 i i) #s(literal -1/4 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 i (*.f64 i (*.f64 i i))) (+.f64 (*.f64 i i) #s(literal -1/4 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1/16 binary64) (+.f64 (*.f64 i i) #s(literal -1/4 binary64))) (/.f64 #s(literal 1/16 binary64) (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))) (+.f64 (*.f64 (/.f64 (*.f64 i (*.f64 i (*.f64 i i))) (+.f64 (*.f64 i i) #s(literal -1/4 binary64))) (/.f64 (*.f64 i (*.f64 i (*.f64 i i))) (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))) (*.f64 (/.f64 #s(literal 1/16 binary64) (+.f64 (*.f64 i i) #s(literal -1/4 binary64))) (/.f64 (*.f64 i (*.f64 i (*.f64 i i))) (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))))))
(/.f64 (-.f64 (*.f64 i (*.f64 i (*.f64 i i))) #s(literal 1/16 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) #s(literal -1/4 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/64 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))))) (/.f64 #s(literal -1/64 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64))))))) (*.f64 (/.f64 (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i))) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))))) (/.f64 (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i))) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))))))) (+.f64 (/.f64 #s(literal -1/64 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))))) (/.f64 (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i))) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64))))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/16 binary64) (+.f64 (*.f64 i i) #s(literal -1/4 binary64))) (/.f64 #s(literal 1/16 binary64) (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))) (*.f64 (/.f64 (*.f64 i (*.f64 i (*.f64 i i))) (+.f64 (*.f64 i i) #s(literal -1/4 binary64))) (/.f64 (*.f64 i (*.f64 i (*.f64 i i))) (+.f64 (*.f64 i i) #s(literal -1/4 binary64))))) (+.f64 (/.f64 #s(literal 1/16 binary64) (+.f64 (*.f64 i i) #s(literal -1/4 binary64))) (/.f64 (*.f64 i (*.f64 i (*.f64 i i))) (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal -1/64 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i)))) #s(literal 1 binary64)) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 1 binary64)) (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal -1/262144 binary64) (*.f64 (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i))) (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) (*.f64 i (*.f64 i (*.f64 i i))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64))))))) (+.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i))) (+.f64 #s(literal -1/64 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i)))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) (*.f64 i (*.f64 i (*.f64 i i)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64))))))) (+.f64 #s(literal -1/64 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) (*.f64 i (*.f64 i (*.f64 i i)))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))) (+.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) (*.f64 i (*.f64 i (*.f64 i i))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(*.f64 (-.f64 #s(literal -1/64 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))))))
(*.f64 (-.f64 #s(literal -1/64 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) #s(literal -1/4 binary64))))))
(*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 i i) #s(literal -1/4 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/64 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/16 binary64) (neg.f64 (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64))))))))
(*.f64 (+.f64 #s(literal -1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))))) (-.f64 #s(literal -1/64 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 i i) #s(literal -1/4 binary64))) (-.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))
(*.f64 (/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (-.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(*.f64 (/.f64 (-.f64 #s(literal -1/64 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i)))) (+.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))) (*.f64 (*.f64 i i) (*.f64 (+.f64 (*.f64 i i) #s(literal -1/4 binary64)) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64))))))))) (+.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))) (-.f64 (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))) #s(literal 1/16 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal -1/64 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i)))) (-.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 i i) (*.f64 (+.f64 (*.f64 i i) #s(literal -1/4 binary64)) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64)))))))) (-.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 (*.f64 i i) #s(literal -1/4 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (+.f64 #s(literal -1/64 binary64) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i i))))) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 i i) (-.f64 (*.f64 i i) #s(literal -1/4 binary64)))))

simplify185.0ms (3.2%)

Algorithm
egg-herbie
Rules
1926×*-lowering-*.f32
1926×*-lowering-*.f64
1378×fnmadd-define
1374×fma-lowering-fma.f32
1374×fma-lowering-fma.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
077896
1203831
2593804
32056782
46029782
08163782
Stop Event
iter limit
node limit
Counts
144 → 144
Calls
Call 1
Inputs
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(/ -4 (pow i 2))
(/ (- (* 16 (pow i 2)) 4) (pow i 2))
(/ (- (* 16 (pow i 2)) 4) (pow i 2))
(/ (- (* 16 (pow i 2)) 4) (pow i 2))
16
(- 16 (* 4 (/ 1 (pow i 2))))
(- 16 (* 4 (/ 1 (pow i 2))))
(- 16 (* 4 (/ 1 (pow i 2))))
16
(- 16 (* 4 (/ 1 (pow i 2))))
(- 16 (* 4 (/ 1 (pow i 2))))
(- 16 (* 4 (/ 1 (pow i 2))))
(/ -4 i)
(/ (- (* 16 (pow i 2)) 4) i)
(/ (- (* 16 (pow i 2)) 4) i)
(/ (- (* 16 (pow i 2)) 4) i)
(* 16 i)
(* i (- 16 (* 4 (/ 1 (pow i 2)))))
(* i (- 16 (* 4 (/ 1 (pow i 2)))))
(* i (- 16 (* 4 (/ 1 (pow i 2)))))
(* 16 i)
(* -1 (* i (- (* 4 (/ 1 (pow i 2))) 16)))
(* -1 (* i (- (* 4 (/ 1 (pow i 2))) 16)))
(* -1 (* i (- (* 4 (/ 1 (pow i 2))) 16)))
-4
(- (* 16 (pow i 2)) 4)
(- (* 16 (pow i 2)) 4)
(- (* 16 (pow i 2)) 4)
(* 16 (pow i 2))
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))
(* 16 (pow i 2))
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(/ 1/64 (pow i 2))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1/4 i)
(* i (- (* -1 (pow i 2)) 1/4))
(* i (- (* -1 (pow i 2)) 1/4))
(* i (- (* -1 (pow i 2)) 1/4))
(* -1 (pow i 3))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (pow i 3))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
-1/4
(- (* -1 (pow i 2)) 1/4)
(- (* -1 (pow i 2)) 1/4)
(- (* -1 (pow i 2)) 1/4)
(* -1 (pow i 2))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (pow i 2))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
Outputs
(* -1/4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal -1/4 binary64))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(*.f64 i (*.f64 i (+.f64 (*.f64 i (*.f64 i (+.f64 #s(literal -1 binary64) (*.f64 i (*.f64 i #s(literal -4 binary64)))))) #s(literal -1/4 binary64))))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(*.f64 (*.f64 i i) (+.f64 (*.f64 i (*.f64 i (+.f64 #s(literal -1 binary64) (*.f64 i (*.f64 i (+.f64 #s(literal -4 binary64) (*.f64 (*.f64 i i) #s(literal -16 binary64)))))))) #s(literal -1/4 binary64)))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) (/.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 i i) (*.f64 i i))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) (+.f64 (/.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 i i) (*.f64 i i))) (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64)))))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) (/.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 i i) (*.f64 i i))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) (+.f64 (/.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 i i) (*.f64 i i))) (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64)))))
(/ -4 (pow i 2))
(/.f64 #s(literal -4 binary64) (*.f64 i i))
(/ (- (* 16 (pow i 2)) 4) (pow i 2))
(-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
(/ (- (* 16 (pow i 2)) 4) (pow i 2))
(-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
(/ (- (* 16 (pow i 2)) 4) (pow i 2))
(-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
16
#s(literal 16 binary64)
(- 16 (* 4 (/ 1 (pow i 2))))
(-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
(- 16 (* 4 (/ 1 (pow i 2))))
(-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
(- 16 (* 4 (/ 1 (pow i 2))))
(-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
16
#s(literal 16 binary64)
(- 16 (* 4 (/ 1 (pow i 2))))
(-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
(- 16 (* 4 (/ 1 (pow i 2))))
(-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
(- 16 (* 4 (/ 1 (pow i 2))))
(-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
(/ -4 i)
(/.f64 #s(literal -4 binary64) i)
(/ (- (* 16 (pow i 2)) 4) i)
(+.f64 (*.f64 i #s(literal 16 binary64)) (/.f64 #s(literal -4 binary64) i))
(/ (- (* 16 (pow i 2)) 4) i)
(+.f64 (*.f64 i #s(literal 16 binary64)) (/.f64 #s(literal -4 binary64) i))
(/ (- (* 16 (pow i 2)) 4) i)
(+.f64 (*.f64 i #s(literal 16 binary64)) (/.f64 #s(literal -4 binary64) i))
(* 16 i)
(*.f64 i #s(literal 16 binary64))
(* i (- 16 (* 4 (/ 1 (pow i 2)))))
(+.f64 (*.f64 i #s(literal 16 binary64)) (/.f64 #s(literal -4 binary64) i))
(* i (- 16 (* 4 (/ 1 (pow i 2)))))
(+.f64 (*.f64 i #s(literal 16 binary64)) (/.f64 #s(literal -4 binary64) i))
(* i (- 16 (* 4 (/ 1 (pow i 2)))))
(+.f64 (*.f64 i #s(literal 16 binary64)) (/.f64 #s(literal -4 binary64) i))
(* 16 i)
(*.f64 i #s(literal 16 binary64))
(* -1 (* i (- (* 4 (/ 1 (pow i 2))) 16)))
(+.f64 (*.f64 i #s(literal 16 binary64)) (/.f64 #s(literal -4 binary64) i))
(* -1 (* i (- (* 4 (/ 1 (pow i 2))) 16)))
(+.f64 (*.f64 i #s(literal 16 binary64)) (/.f64 #s(literal -4 binary64) i))
(* -1 (* i (- (* 4 (/ 1 (pow i 2))) 16)))
(+.f64 (*.f64 i #s(literal 16 binary64)) (/.f64 #s(literal -4 binary64) i))
-4
#s(literal -4 binary64)
(- (* 16 (pow i 2)) 4)
(+.f64 #s(literal -4 binary64) (*.f64 i (*.f64 i #s(literal 16 binary64))))
(- (* 16 (pow i 2)) 4)
(+.f64 #s(literal -4 binary64) (*.f64 i (*.f64 i #s(literal 16 binary64))))
(- (* 16 (pow i 2)) 4)
(+.f64 #s(literal -4 binary64) (*.f64 i (*.f64 i #s(literal 16 binary64))))
(* 16 (pow i 2))
(*.f64 i (*.f64 i #s(literal 16 binary64)))
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))
(+.f64 #s(literal -4 binary64) (*.f64 i (*.f64 i #s(literal 16 binary64))))
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))
(+.f64 #s(literal -4 binary64) (*.f64 i (*.f64 i #s(literal 16 binary64))))
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))
(+.f64 #s(literal -4 binary64) (*.f64 i (*.f64 i #s(literal 16 binary64))))
(* 16 (pow i 2))
(*.f64 i (*.f64 i #s(literal 16 binary64)))
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))
(+.f64 #s(literal -4 binary64) (*.f64 i (*.f64 i #s(literal 16 binary64))))
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))
(+.f64 #s(literal -4 binary64) (*.f64 i (*.f64 i #s(literal 16 binary64))))
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))
(+.f64 #s(literal -4 binary64) (*.f64 i (*.f64 i #s(literal 16 binary64))))
(* -1/4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal -1/4 binary64))
(* -1/4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal -1/4 binary64))
(* -1/4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal -1/4 binary64))
(* -1/4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal -1/4 binary64))
(* -1/4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal -1/4 binary64))
(* -1/4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal -1/4 binary64))
(* -1/4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal -1/4 binary64))
(* -1/4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal -1/4 binary64))
(* -1/4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal -1/4 binary64))
(* -1/4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal -1/4 binary64))
(* -1/4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal -1/4 binary64))
(* -1/4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal -1/4 binary64))
(* -1/4 i)
(*.f64 i #s(literal -1/4 binary64))
(* -1/4 i)
(*.f64 i #s(literal -1/4 binary64))
(* -1/4 i)
(*.f64 i #s(literal -1/4 binary64))
(* -1/4 i)
(*.f64 i #s(literal -1/4 binary64))
(* -1/4 i)
(*.f64 i #s(literal -1/4 binary64))
(* -1/4 i)
(*.f64 i #s(literal -1/4 binary64))
(* -1/4 i)
(*.f64 i #s(literal -1/4 binary64))
(* -1/4 i)
(*.f64 i #s(literal -1/4 binary64))
(* -1/4 i)
(*.f64 i #s(literal -1/4 binary64))
(* -1/4 i)
(*.f64 i #s(literal -1/4 binary64))
(* -1/4 i)
(*.f64 i #s(literal -1/4 binary64))
(* -1/4 i)
(*.f64 i #s(literal -1/4 binary64))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(/.f64 (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 i i) #s(literal 1/16 binary64))) (*.f64 i i))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(/.f64 (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 i i) #s(literal 1/16 binary64))) (*.f64 i i))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(/.f64 (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 i i) #s(literal 1/16 binary64))) (*.f64 i i))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(* -1/4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal -1/4 binary64))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(* -1 (pow i 4))
(*.f64 (*.f64 i i) (-.f64 #s(literal 0 binary64) (*.f64 i i)))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(* -1 (pow i 4))
(*.f64 (*.f64 i i) (-.f64 #s(literal 0 binary64) (*.f64 i i)))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(* -1/4 i)
(*.f64 i #s(literal -1/4 binary64))
(* i (- (* -1 (pow i 2)) 1/4))
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* i (- (* -1 (pow i 2)) 1/4))
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* i (- (* -1 (pow i 2)) 1/4))
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* -1 (pow i 3))
(-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i i)))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* -1 (pow i 3))
(-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i i)))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
-1/4
#s(literal -1/4 binary64)
(- (* -1 (pow i 2)) 1/4)
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(- (* -1 (pow i 2)) 1/4)
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(- (* -1 (pow i 2)) 1/4)
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1 (pow i 2))
(-.f64 #s(literal 0 binary64) (*.f64 i i))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1 (pow i 2))
(-.f64 #s(literal 0 binary64) (*.f64 i i))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))

eval135.0ms (2.3%)

Compiler

Compiled 16629 to 1971 computations (88.1% saved)

prune87.0ms (1.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New7552757
Fresh000
Picked235
Done101
Total7585763
Accuracy
100.0%
Counts
763 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.2%
(/.f64 i (/.f64 #s(literal -4 binary64) i))
99.6%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
49.3%
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
51.3%
(*.f64 i (/.f64 i #s(literal -4 binary64)))
49.8%
#s(literal 1/16 binary64)
Compiler

Compiled 32 to 24 computations (25% saved)

simplify19.0ms (0.3%)

Algorithm
egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal -4 binary64) i)
cost-diff0
(/.f64 i (/.f64 #s(literal -4 binary64) i))
cost-diff0
(*.f64 i i)
cost-diff0
(/.f64 #s(literal 4 binary64) (*.f64 i i))
cost-diff0
(-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
Rules
168×fma-define
162×sum3-define
122×fmsub-define
98×fma-lowering-fma.f32
98×fma-lowering-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01137
12037
23437
35137
48137
512637
621437
729137
837137
955737
1056637
1157137
1257437
057437
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ 1 (- 16 (/ 4 (* i i))))
1
(- 16 (/ 4 (* i i)))
16
(/ 4 (* i i))
4
(* i i)
i
(/ i (/ -4 i))
i
(/ -4 i)
-4
Outputs
(/ 1 (- 16 (/ 4 (* i i))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))))
1
#s(literal 1 binary64)
(- 16 (/ 4 (* i i)))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
16
#s(literal 16 binary64)
(/ 4 (* i i))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
4
#s(literal 4 binary64)
(* i i)
(*.f64 i i)
i
(/ i (/ -4 i))
(/.f64 i (/.f64 #s(literal -4 binary64) i))
i
(/ -4 i)
(/.f64 #s(literal -4 binary64) i)
-4
#s(literal -4 binary64)

localize41.0ms (0.7%)

Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 #s(literal -4 binary64) i)
accuracy99.8%
(/.f64 i (/.f64 #s(literal -4 binary64) i))
accuracy100.0%
(-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
accuracy100.0%
(*.f64 i i)
accuracy99.8%
(/.f64 #s(literal 4 binary64) (*.f64 i i))
accuracy99.6%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
Results
29.0ms256×0valid
Compiler

Compiled 40 to 12 computations (70% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-div: 7.0ms (58.2% of total)
ival-mult: 3.0ms (24.9% of total)
ival-sub: 1.0ms (8.3% of total)
const: 1.0ms (8.3% of total)
backward-pass: 0.0ms (0% of total)

series2.0ms (0%)

Counts
6 → 72
Calls
Call 1
Inputs
#<alt (/ 1 (- 16 (/ 4 (* i i))))>
#<alt (- 16 (/ 4 (* i i)))>
#<alt (/ 4 (* i i))>
#<alt (* i i)>
#<alt (/ i (/ -4 i))>
#<alt (/ -4 i)>
Outputs
#<alt (* -1/4 (pow i 2))>
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))>
#<alt (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))>
#<alt (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))>
#<alt (/ -4 (pow i 2))>
#<alt (/ (- (* 16 (pow i 2)) 4) (pow i 2))>
#<alt (/ (- (* 16 (pow i 2)) 4) (pow i 2))>
#<alt (/ (- (* 16 (pow i 2)) 4) (pow i 2))>
#<alt 16>
#<alt (- 16 (* 4 (/ 1 (pow i 2))))>
#<alt (- 16 (* 4 (/ 1 (pow i 2))))>
#<alt (- 16 (* 4 (/ 1 (pow i 2))))>
#<alt 16>
#<alt (- 16 (* 4 (/ 1 (pow i 2))))>
#<alt (- 16 (* 4 (/ 1 (pow i 2))))>
#<alt (- 16 (* 4 (/ 1 (pow i 2))))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (/ -4 i)>
#<alt (/ -4 i)>
#<alt (/ -4 i)>
#<alt (/ -4 i)>
#<alt (/ -4 i)>
#<alt (/ -4 i)>
#<alt (/ -4 i)>
#<alt (/ -4 i)>
#<alt (/ -4 i)>
#<alt (/ -4 i)>
#<alt (/ -4 i)>
#<alt (/ -4 i)>
Calls

18 calls:

TimeVariablePointExpression
0.0ms
i
@0
(/ -4 i)
0.0ms
i
@inf
(/ -4 i)
0.0ms
i
@-inf
(/ -4 i)
0.0ms
i
@0
(/ 1 (- 16 (/ 4 (* i i))))
0.0ms
i
@inf
(/ 1 (- 16 (/ 4 (* i i))))

rewrite275.0ms (4.8%)

Algorithm
batch-egg-rewrite
Rules
2712×*-lowering-*.f32
2712×*-lowering-*.f64
1960×/-lowering-/.f32
1960×/-lowering-/.f64
1320×--lowering--.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01131
16431
244429
3460829
0807229
Stop Event
iter limit
node limit
Counts
6 → 266
Calls
Call 1
Inputs
(/ 1 (- 16 (/ 4 (* i i))))
(- 16 (/ 4 (* i i)))
(/ 4 (* i i))
(* i i)
(/ i (/ -4 i))
(/ -4 i)
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4096 binary64) (/.f64 (/.f64 #s(literal 64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i)))))) #s(literal 256 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4096 binary64) (/.f64 (/.f64 #s(literal 64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i)))))) (/.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) (/.f64 i (/.f64 #s(literal 4 binary64) i)))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4096 binary64) (/.f64 (/.f64 #s(literal 64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i)))))) (/.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) (/.f64 i (/.f64 #s(literal 4 binary64) i)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4096 binary64) (/.f64 (/.f64 #s(literal 64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i)))))) #s(literal 256 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4096 binary64) (/.f64 (/.f64 #s(literal 64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i)))))) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4096 binary64) (/.f64 (/.f64 #s(literal 64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i)))))) (/.f64 #s(literal 64 binary64) (*.f64 i i))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal -16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) #s(literal 16 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal -16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal -16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal -16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) #s(literal 16 binary64)))
(+.f64 (*.f64 #s(literal 256 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4096 binary64) (/.f64 (/.f64 #s(literal 64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i))))))) (*.f64 (/.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) (/.f64 i (/.f64 #s(literal 4 binary64) i))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4096 binary64) (/.f64 (/.f64 #s(literal 64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i))))))))
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) (/.f64 i (/.f64 #s(literal 4 binary64) i))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4096 binary64) (/.f64 (/.f64 #s(literal 64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i))))))) (*.f64 #s(literal 256 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4096 binary64) (/.f64 (/.f64 #s(literal 64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i))))))))
(+.f64 (*.f64 (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4096 binary64) (/.f64 (/.f64 #s(literal 64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i))))))) (*.f64 (/.f64 #s(literal 64 binary64) (*.f64 i i)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4096 binary64) (/.f64 (/.f64 #s(literal 64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i))))))))
(+.f64 (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal -16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))) (*.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal -16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))))
(+.f64 (*.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal -16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))) (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal -16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))))
(exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))))) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))))
(neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))))
(/.f64 (+.f64 #s(literal 256 binary64) (/.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) (/.f64 i (/.f64 #s(literal 4 binary64) i)))) (-.f64 #s(literal 4096 binary64) (/.f64 (/.f64 #s(literal 64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i))))))
(/.f64 (+.f64 #s(literal 256 binary64) (/.f64 #s(literal -16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) (*.f64 (+.f64 #s(literal 256 binary64) (/.f64 #s(literal -16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))))
(/.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal -16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))
(/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) (/.f64 i (/.f64 #s(literal 4 binary64) i)))) #s(literal -256 binary64)) (+.f64 #s(literal -4096 binary64) (/.f64 (/.f64 #s(literal 64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i))))))
(/.f64 (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal -16 binary64)) (+.f64 #s(literal -256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))
(/.f64 (+.f64 #s(literal 16777216 binary64) (*.f64 (/.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) (/.f64 i (/.f64 #s(literal 4 binary64) i))) (*.f64 (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))))))) (*.f64 (-.f64 #s(literal 4096 binary64) (/.f64 (/.f64 #s(literal 64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i))))) (+.f64 #s(literal 65536 binary64) (*.f64 (/.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) (/.f64 i (/.f64 #s(literal 4 binary64) i))) (-.f64 (/.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) (/.f64 i (/.f64 #s(literal 4 binary64) i))) #s(literal 256 binary64))))))
(/.f64 (+.f64 #s(literal 4096 binary64) (/.f64 (/.f64 #s(literal 64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i))))) (*.f64 (+.f64 #s(literal 256 binary64) (/.f64 #s(literal -16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) (+.f64 #s(literal 256 binary64) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (*.f64 i i)) #s(literal 64 binary64)) (*.f64 i i)))))
(/.f64 (-.f64 #s(literal 65536 binary64) (*.f64 (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))))) (*.f64 (-.f64 #s(literal 4096 binary64) (/.f64 (/.f64 #s(literal 64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i))))) (+.f64 #s(literal 256 binary64) (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4096 binary64) (/.f64 (/.f64 #s(literal 64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) (/.f64 i (/.f64 #s(literal 4 binary64) i))))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal -16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4096 binary64) (/.f64 (/.f64 #s(literal 64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i)))))) (+.f64 #s(literal 16777216 binary64) (*.f64 (/.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) (/.f64 i (/.f64 #s(literal 4 binary64) i))) (*.f64 (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))))))) (+.f64 #s(literal 65536 binary64) (*.f64 (/.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) (/.f64 i (/.f64 #s(literal 4 binary64) i))) (-.f64 (/.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) (/.f64 i (/.f64 #s(literal 4 binary64) i))) #s(literal 256 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4096 binary64) (/.f64 (/.f64 #s(literal 64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i)))))) (-.f64 #s(literal 65536 binary64) (*.f64 (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))))))) (+.f64 #s(literal 256 binary64) (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal -16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal -16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal -16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (+.f64 #s(literal 4096 binary64) (/.f64 (/.f64 #s(literal 64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i)))))) (+.f64 #s(literal 256 binary64) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (*.f64 i i)) #s(literal 64 binary64)) (*.f64 i i))))
(pow.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))))
(*.f64 (+.f64 #s(literal 256 binary64) (/.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) (/.f64 i (/.f64 #s(literal 4 binary64) i)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4096 binary64) (/.f64 (/.f64 #s(literal 64 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i)))))))
(*.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal -16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))))
(*.f64 (pow.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) #s(literal -1/2 binary64)))
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(/.f64 (/.f64 #s(literal -4 binary64) i) (-.f64 #s(literal 0 binary64) i))
(/.f64 (/.f64 #s(literal -4 binary64) i) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) i)))
(/.f64 #s(literal -1 binary64) (/.f64 i (/.f64 #s(literal -4 binary64) i)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) #s(literal 1/4 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 i #s(literal 4 binary64)))
(/.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 4 binary64) i) i)
(/.f64 (/.f64 #s(literal -1 binary64) i) (/.f64 i #s(literal -4 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 4 binary64) i) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) i))
(/.f64 (/.f64 (/.f64 #s(literal -4 binary64) i) #s(literal -1 binary64)) i)
(pow.f64 (/.f64 i (/.f64 #s(literal 4 binary64) i)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
(*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i)))
(*.f64 #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 1 binary64))
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 i i)))
(*.f64 #s(literal -4 binary64) (*.f64 (/.f64 #s(literal -1 binary64) i) (/.f64 #s(literal 1 binary64) i)))
(*.f64 #s(literal -4 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 i i)) #s(literal 1 binary64)))
(*.f64 #s(literal -4 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 i i)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -4 binary64) i) (/.f64 #s(literal -1 binary64) i))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) #s(literal 4 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 #s(literal 4 binary64) i))
(*.f64 (/.f64 #s(literal 4 binary64) i) (/.f64 #s(literal 1 binary64) i))
(*.f64 (/.f64 #s(literal 4 binary64) i) (/.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 i i)) #s(literal -4 binary64))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) i) #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) i))
(*.f64 (pow.f64 (/.f64 i (/.f64 #s(literal 4 binary64) i)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 i (/.f64 #s(literal 4 binary64) i)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 i)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 i)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 i))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 i)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 i i)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i)))
(/.f64 (*.f64 i i) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) #s(literal -1 binary64))
(pow.f64 i #s(literal 2 binary64))
(pow.f64 (*.f64 i i) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (log.f64 i)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 i i))
(*.f64 i i)
(*.f64 (*.f64 i i) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 i i)))
(*.f64 (-.f64 #s(literal 0 binary64) i) (-.f64 #s(literal 0 binary64) i))
(*.f64 (exp.f64 (log.f64 i)) (exp.f64 (log.f64 i)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 i (/.f64 #s(literal 4 binary64) i)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) i)) (/.f64 i (/.f64 #s(literal 4 binary64) i)))
(neg.f64 (/.f64 i (/.f64 #s(literal 4 binary64) i)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(/.f64 i (/.f64 #s(literal -4 binary64) i))
(/.f64 (*.f64 i i) #s(literal -4 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) #s(literal 4 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) i) (/.f64 #s(literal 4 binary64) i))
(/.f64 (/.f64 i #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) i))
(/.f64 (/.f64 i (/.f64 #s(literal -4 binary64) i)) #s(literal 1 binary64))
(/.f64 (/.f64 i #s(literal 4 binary64)) (/.f64 #s(literal -1 binary64) i))
(/.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i)))
(/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 i i)))
(/.f64 (/.f64 i (/.f64 #s(literal 1 binary64) i)) #s(literal -4 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) i)) (/.f64 #s(literal 4 binary64) i))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) i) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) i))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))) #s(literal 4 binary64))
(pow.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 i (/.f64 #s(literal -4 binary64) i)))
(*.f64 i (/.f64 i #s(literal -4 binary64)))
(*.f64 (*.f64 i i) #s(literal -1/4 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 i (/.f64 #s(literal 4 binary64) i)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) #s(literal 1/4 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) i) (/.f64 i #s(literal 4 binary64)))
(*.f64 (/.f64 i #s(literal -4 binary64)) i)
(*.f64 (/.f64 i (/.f64 #s(literal -4 binary64) i)) #s(literal 1 binary64))
(*.f64 (/.f64 i #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) i))
(*.f64 (/.f64 i #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) i)))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(*.f64 #s(literal -1/4 binary64) (/.f64 i (/.f64 #s(literal 1 binary64) i)))
(*.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 0 binary64) (*.f64 i i)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 i i)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/4 binary64) (/.f64 i (/.f64 #s(literal -1 binary64) i)))
(*.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 0 binary64) i) (/.f64 #s(literal 1 binary64) i)))
(*.f64 (/.f64 i (/.f64 #s(literal 1 binary64) i)) #s(literal -1/4 binary64))
(*.f64 (/.f64 (/.f64 i #s(literal -4 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) i))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) i) #s(literal 1 binary64)) (/.f64 i #s(literal 4 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) i)) (/.f64 i #s(literal 4 binary64)))
(*.f64 (*.f64 (/.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) i)
(*.f64 (/.f64 i #s(literal -1 binary64)) (/.f64 i #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 i #s(literal -4 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -4 binary64) i)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) i))
(neg.f64 (/.f64 #s(literal 4 binary64) i))
(neg.f64 (/.f64 (/.f64 #s(literal 4 binary64) i) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 i #s(literal -4 binary64)))
(/.f64 #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) i))
(/.f64 #s(literal 4 binary64) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) i)))
(/.f64 #s(literal -4 binary64) i)
(/.f64 (/.f64 #s(literal -4 binary64) i) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 i #s(literal 4 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) i) #s(literal -1/4 binary64))
(/.f64 (/.f64 #s(literal 4 binary64) i) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal -4 binary64) i) #s(literal 1 binary64))
(pow.f64 (/.f64 i #s(literal -4 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) i))
(*.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) i))
(*.f64 #s(literal 4 binary64) (/.f64 (/.f64 #s(literal -1 binary64) i) #s(literal 1 binary64)))
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) i))
(*.f64 #s(literal -4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -4 binary64) i) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) i))
(*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal -4 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) i) #s(literal 4 binary64))
(*.f64 (pow.f64 (/.f64 i #s(literal -4 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 i #s(literal -4 binary64)) #s(literal -1/2 binary64)))

simplify256.0ms (4.5%)

Algorithm
egg-herbie
Rules
1924×*-lowering-*.f32
1924×*-lowering-*.f64
1410×sum4-define
1372×fnmadd-define
1344×+-lowering-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
053419
1120411
2292384
3727380
41555380
53252380
67071380
08020380
Stop Event
iter limit
node limit
Counts
72 → 72
Calls
Call 1
Inputs
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(/ -4 (pow i 2))
(/ (- (* 16 (pow i 2)) 4) (pow i 2))
(/ (- (* 16 (pow i 2)) 4) (pow i 2))
(/ (- (* 16 (pow i 2)) 4) (pow i 2))
16
(- 16 (* 4 (/ 1 (pow i 2))))
(- 16 (* 4 (/ 1 (pow i 2))))
(- 16 (* 4 (/ 1 (pow i 2))))
16
(- 16 (* 4 (/ 1 (pow i 2))))
(- 16 (* 4 (/ 1 (pow i 2))))
(- 16 (* 4 (/ 1 (pow i 2))))
(/ 4 (pow i 2))
(/ 4 (pow i 2))
(/ 4 (pow i 2))
(/ 4 (pow i 2))
(/ 4 (pow i 2))
(/ 4 (pow i 2))
(/ 4 (pow i 2))
(/ 4 (pow i 2))
(/ 4 (pow i 2))
(/ 4 (pow i 2))
(/ 4 (pow i 2))
(/ 4 (pow i 2))
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(/ -4 i)
(/ -4 i)
(/ -4 i)
(/ -4 i)
(/ -4 i)
(/ -4 i)
(/ -4 i)
(/ -4 i)
(/ -4 i)
(/ -4 i)
(/ -4 i)
(/ -4 i)
Outputs
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(*.f64 (*.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 (+.f64 (*.f64 (*.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 i i))))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(*.f64 (*.f64 i i) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 i i) (+.f64 #s(literal -1 binary64) (*.f64 i (*.f64 i (+.f64 #s(literal -4 binary64) (*.f64 (*.f64 i i) #s(literal -16 binary64)))))))))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (+.f64 (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/1024 binary64) (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))))))))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (+.f64 (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/1024 binary64) (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))))))))
(/ -4 (pow i 2))
(/.f64 #s(literal -4 binary64) (*.f64 i i))
(/ (- (* 16 (pow i 2)) 4) (pow i 2))
(-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
(/ (- (* 16 (pow i 2)) 4) (pow i 2))
(-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
(/ (- (* 16 (pow i 2)) 4) (pow i 2))
(-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
16
#s(literal 16 binary64)
(- 16 (* 4 (/ 1 (pow i 2))))
(-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
(- 16 (* 4 (/ 1 (pow i 2))))
(-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
(- 16 (* 4 (/ 1 (pow i 2))))
(-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
16
#s(literal 16 binary64)
(- 16 (* 4 (/ 1 (pow i 2))))
(-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
(- 16 (* 4 (/ 1 (pow i 2))))
(-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
(- 16 (* 4 (/ 1 (pow i 2))))
(-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
(/ 4 (pow i 2))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(/ 4 (pow i 2))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(/ 4 (pow i 2))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(/ 4 (pow i 2))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(/ 4 (pow i 2))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(/ 4 (pow i 2))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(/ 4 (pow i 2))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(/ 4 (pow i 2))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(/ 4 (pow i 2))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(/ 4 (pow i 2))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(/ 4 (pow i 2))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(/ 4 (pow i 2))
(/.f64 #s(literal 4 binary64) (*.f64 i i))
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(/ -4 i)
(/.f64 #s(literal -4 binary64) i)
(/ -4 i)
(/.f64 #s(literal -4 binary64) i)
(/ -4 i)
(/.f64 #s(literal -4 binary64) i)
(/ -4 i)
(/.f64 #s(literal -4 binary64) i)
(/ -4 i)
(/.f64 #s(literal -4 binary64) i)
(/ -4 i)
(/.f64 #s(literal -4 binary64) i)
(/ -4 i)
(/.f64 #s(literal -4 binary64) i)
(/ -4 i)
(/.f64 #s(literal -4 binary64) i)
(/ -4 i)
(/.f64 #s(literal -4 binary64) i)
(/ -4 i)
(/.f64 #s(literal -4 binary64) i)
(/ -4 i)
(/.f64 #s(literal -4 binary64) i)
(/ -4 i)
(/.f64 #s(literal -4 binary64) i)

eval37.0ms (0.6%)

Compiler

Compiled 6858 to 782 computations (88.6% saved)

prune35.0ms (0.6%)

Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New3380338
Fresh000
Picked022
Done033
Total3385343
Accuracy
100.0%
Counts
343 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.2%
(/.f64 i (/.f64 #s(literal -4 binary64) i))
99.6%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
49.3%
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
51.3%
(*.f64 i (/.f64 i #s(literal -4 binary64)))
49.8%
#s(literal 1/16 binary64)
Compiler

Compiled 118 to 62 computations (47.5% saved)

regimes8.0ms (0.1%)

Counts
9 → 1
Calls
Call 1
Inputs
#s(literal 1/16 binary64)
(*.f64 i (/.f64 i #s(literal -4 binary64)))
(/.f64 i (/.f64 #s(literal -4 binary64) i))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
(*.f64 i (/.f64 i (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (*.f64 i (*.f64 i #s(literal 16 binary64))) #s(literal -4 binary64)) i) i))
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Outputs
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
Calls

2 calls:

4.0ms
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
3.0ms
i
Results
AccuracySegmentsBranch
99.6%1i
99.6%1(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Compiler

Compiled 28 to 11 computations (60.7% saved)

regimes3.0ms (0%)

Counts
5 → 2
Calls
Call 1
Inputs
#s(literal 1/16 binary64)
(*.f64 i (/.f64 i #s(literal -4 binary64)))
(/.f64 i (/.f64 #s(literal -4 binary64) i))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
Outputs
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
Calls

1 calls:

2.0ms
i
Results
AccuracySegmentsBranch
99.7%2i
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts
4 → 2
Calls
Call 1
Inputs
#s(literal 1/16 binary64)
(*.f64 i (/.f64 i #s(literal -4 binary64)))
(/.f64 i (/.f64 #s(literal -4 binary64) i))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
Outputs
(*.f64 i (/.f64 i #s(literal -4 binary64)))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
Calls

1 calls:

2.0ms
i
Results
AccuracySegmentsBranch
99.4%2i
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0.1%)

Counts
3 → 2
Calls
Call 1
Inputs
#s(literal 1/16 binary64)
(*.f64 i (/.f64 i #s(literal -4 binary64)))
(/.f64 i (/.f64 #s(literal -4 binary64) i))
Outputs
(*.f64 i (/.f64 i #s(literal -4 binary64)))
#s(literal 1/16 binary64)
Calls

1 calls:

3.0ms
i
Results
AccuracySegmentsBranch
99.3%2i
Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 1/16 binary64)
Outputs
#s(literal 1/16 binary64)
Calls

1 calls:

1.0ms
i
Results
AccuracySegmentsBranch
49.8%1i
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch17.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
7.19288605635568e-5
1.418752291254635
Results
11.0ms128×0valid
Compiler

Compiled 190 to 125 computations (34.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 4.0ms (65.6% of total)
ival-div: 2.0ms (32.8% of total)
ival-sub: 1.0ms (16.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch16.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
7.19288605635568e-5
1.418752291254635
Results
10.0ms128×0valid
Compiler

Compiled 158 to 109 computations (31% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (49.6% of total)
ival-div: 2.0ms (33.1% of total)
ival-sub: 1.0ms (16.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch16.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
7.19288605635568e-5
1.418752291254635
Results
10.0ms128×0valid
Compiler

Compiled 110 to 77 computations (30% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 4.0ms (55.9% of total)
ival-div: 3.0ms (41.9% of total)
ival-sub: 1.0ms (14% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify9.0ms (0.1%)

Algorithm
egg-herbie
Rules
14×*-commutative_binary64
14×+-commutative_binary64
12×sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02456
13856
25156
35956
46456
56556
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 i (/.f64 i #s(literal -4 binary64))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 i (/.f64 i #s(literal -4 binary64))) #s(literal 1/16 binary64))
#s(literal 1/16 binary64)
Outputs
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 i (/.f64 i #s(literal -4 binary64))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 i (/.f64 i #s(literal -4 binary64))) #s(literal 1/16 binary64))
#s(literal 1/16 binary64)

soundness1.3s (22.9%)

Rules
5958×*-lowering-*.f32
5958×*-lowering-*.f64
4808×*-lowering-*.f32
4808×*-lowering-*.f64
3702×/-lowering-/.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
077748
1193727
2496724
31328710
43546710
08283710
077896
1203831
2593804
32056782
46029782
08163782
01021
14018
219312
3108612
4376011
5581211
0825211
01676
110368
291260
0882160
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 131 to 80 computations (38.9% saved)

preprocess63.0ms (1.1%)

Remove

(abs i)

Compiler

Compiled 208 to 94 computations (54.8% saved)

end0.0ms (0%)

Profiling

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