Octave 3.8, jcobi/4, as called

Time bar (total: 7.9s)

analyze9.0ms (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: 7.0ms
ival-mult: 6.0ms (83.1% 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)

sample1.3s (16%)

Results
957.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 699.0ms
ival-mult: 426.0ms (60.9% of total)
ival-div: 126.0ms (18% of total)
ival->: 71.0ms (10.2% of total)
ival-sub: 57.0ms (8.2% of total)
const: 17.0ms (2.4% of total)
backward-pass: 3.0ms (0.4% of total)
Bogosity

preprocess301.0ms (3.8%)

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)

explain122.0ms (1.5%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1880-2(1.405254120933742e-78)(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
670-0-(/.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
78.0ms512×0valid
Compiler

Compiled 174 to 32 computations (81.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-mult: 41.0ms (79.8% of total)
ival-div: 7.0ms (13.6% of total)
ival-sub: 3.0ms (5.8% of total)
const: 1.0ms (1.9% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 12 to 8 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
29.3%
(/.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)))
74.5%
(*.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)

simplify273.0ms (3.4%)

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)

localize97.0ms (1.2%)

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))
accuracy99.8%
(*.f64 (*.f64 i i) (*.f64 i i))
accuracy74.6%
(/.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)))
accuracy35.3%
(/.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))
accuracy99.9%
(*.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))))
accuracy75.6%
(/.f64 i (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)))
Results
45.0ms256×0valid
Compiler

Compiled 112 to 17 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 18.0ms (66.4% of total)
ival-div: 5.0ms (18.4% of total)
ival-sub: 1.0ms (3.7% of total)
ival-add: 1.0ms (3.7% of total)
const: 1.0ms (3.7% 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
@inf
(+ (* (* i i) 16) -4)
0.0ms
i
@inf
(* (* i i) 16)

rewrite410.0ms (5.2%)

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)

simplify195.0ms (2.5%)

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)))

eval150.0ms (1.9%)

Compiler

Compiled 23393 to 2296 computations (90.2% saved)

prune127.0ms (1.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New8846890
Fresh000
Picked112
Done000
Total8857892
Accuracy
100.0%
Counts
892 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.6%
(/.f64 (/.f64 (*.f64 (/.f64 i #s(literal 4 binary64)) i) (+.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 (*.f64 i #s(literal 2 binary64)) #s(literal -1 binary64)))
74.5%
(/.f64 i (/.f64 (+.f64 (*.f64 i (*.f64 i #s(literal 16 binary64))) #s(literal -4 binary64)) i))
49.7%
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
74.5%
(*.f64 i (/.f64 i (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64))))
50.7%
(*.f64 i (/.f64 i #s(literal -4 binary64)))
51.0%
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
49.8%
#s(literal 1/16 binary64)
Compiler

Compiled 124 to 84 computations (32.3% saved)

simplify172.0ms (2.2%)

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 i #s(literal 4 binary64))
cost-diff0
(*.f64 (/.f64 i #s(literal 4 binary64)) i)
cost-diff128
(/.f64 (*.f64 (/.f64 i #s(literal 4 binary64)) i) (+.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 1 binary64)))
cost-diff384
(/.f64 (/.f64 (*.f64 (/.f64 i #s(literal 4 binary64)) i) (+.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 (*.f64 i #s(literal 2 binary64)) #s(literal -1 binary64)))
Rules
2114×*-lowering-*.f32
2114×*-lowering-*.f64
1596×sum5-define
1396×fnmadd-define
1162×+-lowering-+.f64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
024104
150104
2101101
3232101
457199
5124895
6283195
7588095
0820195
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (/ (* (/ i 4) i) (+ (* i 2) 1)) (+ (* i 2) -1))
(/ (* (/ i 4) i) (+ (* i 2) 1))
(* (/ i 4) i)
(/ i 4)
i
4
(+ (* i 2) 1)
(* i 2)
2
1
(+ (* i 2) -1)
-1
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
(/ (/ (* (/ i 4) i) (+ (* i 2) 1)) (+ (* i 2) -1))
(/.f64 (*.f64 i i) (+.f64 #s(literal -4 binary64) (*.f64 i (*.f64 i #s(literal 16 binary64)))))
(/ (* (/ i 4) i) (+ (* i 2) 1))
(/.f64 (*.f64 i i) (+.f64 #s(literal 4 binary64) (*.f64 i #s(literal 8 binary64))))
(* (/ i 4) i)
(/.f64 (*.f64 i i) #s(literal 4 binary64))
(/ i 4)
(/.f64 i #s(literal 4 binary64))
i
4
#s(literal 4 binary64)
(+ (* i 2) 1)
(+.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 1 binary64))
(* i 2)
(*.f64 i #s(literal 2 binary64))
2
#s(literal 2 binary64)
1
#s(literal 1 binary64)
(+ (* i 2) -1)
(+.f64 (*.f64 i #s(literal 2 binary64)) #s(literal -1 binary64))
-1
#s(literal -1 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)

localize149.0ms (1.9%)

Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
accuracy100.0%
(*.f64 i i)
accuracy99.9%
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
accuracy99.9%
(*.f64 i (*.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)
accuracy99.5%
(/.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 #s(literal 4 binary64)) i)
accuracy100.0%
(*.f64 i #s(literal 2 binary64))
accuracy100.0%
(/.f64 (/.f64 (*.f64 (/.f64 i #s(literal 4 binary64)) i) (+.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 (*.f64 i #s(literal 2 binary64)) #s(literal -1 binary64)))
accuracy75.6%
(/.f64 (*.f64 (/.f64 i #s(literal 4 binary64)) i) (+.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 1 binary64)))
Results
109.0ms256×0valid
Compiler

Compiled 111 to 25 computations (77.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-mult: 27.0ms (41.6% of total)
ival-add: 22.0ms (33.9% of total)
ival-div: 13.0ms (20% of total)
const: 2.0ms (3.1% of total)
ival-sub: 1.0ms (1.5% of total)
backward-pass: 0.0ms (0% of total)

series29.0ms (0.4%)

Counts
13 → 156
Calls
Call 1
Inputs
#<alt (/ (/ (* (/ i 4) i) (+ (* i 2) 1)) (+ (* i 2) -1))>
#<alt (/ (* (/ i 4) i) (+ (* i 2) 1))>
#<alt (* (/ i 4) i)>
#<alt (/ i 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))>
#<alt (* i 2)>
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 (pow i 2))>
#<alt (* (pow i 2) (+ 1/4 (* -1/2 i)))>
#<alt (* (pow i 2) (+ 1/4 (* i (- i 1/2))))>
#<alt (* (pow i 2) (+ 1/4 (* i (- (* i (+ 1 (* -2 i))) 1/2))))>
#<alt (* 1/8 i)>
#<alt (* i (- 1/8 (* 1/16 (/ 1 i))))>
#<alt (* i (- (+ 1/8 (/ 1/32 (pow i 2))) (* 1/16 (/ 1 i))))>
#<alt (* i (- (+ 1/8 (/ 1/32 (pow i 2))) (+ (* 1/16 (/ 1 i)) (* 1/64 (/ 1 (pow i 3))))))>
#<alt (* 1/8 i)>
#<alt (* -1 (* i (- (* 1/16 (/ 1 i)) 1/8)))>
#<alt (* -1 (* i (- (* -1 (/ (- (* 1/32 (/ 1 i)) 1/16) i)) 1/8)))>
#<alt (* -1 (* i (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (/ 1 i)) 1/32) i)) 1/16) i)) 1/8)))>
#<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 (* -1/4 (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))))))>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
Calls

39 calls:

TimeVariablePointExpression
21.0ms
i
@inf
(/ 1/64 (* i i))
1.0ms
i
@0
(* i (* i (- -1/4 (* i i))))
0.0ms
i
@inf
(* i (* i (- -1/4 (* i i))))
0.0ms
i
@0
(/ 1/64 (* i i))
0.0ms
i
@-inf
(* i 2)

rewrite324.0ms (4.1%)

Algorithm
batch-egg-rewrite
Rules
4938×*-lowering-*.f32
4938×*-lowering-*.f64
3682×/-lowering-/.f32
3682×/-lowering-/.f64
1584×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02480
113377
2100573
0892273
Stop Event
iter limit
node limit
Counts
13 → 524
Calls
Call 1
Inputs
(/ (/ (* (/ i 4) i) (+ (* i 2) 1)) (+ (* i 2) -1))
(/ (* (/ i 4) i) (+ (* i 2) 1))
(* (/ i 4) i)
(/ i 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))
(* i 2)
Outputs
(+.f64 (*.f64 (/.f64 (/.f64 (*.f64 i (/.f64 i #s(literal 4 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 i #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 i (*.f64 i i)) #s(literal -8 binary64)))) (*.f64 i (*.f64 i #s(literal 4 binary64)))) (*.f64 (/.f64 (/.f64 (*.f64 i (/.f64 i #s(literal 4 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 i #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 i (*.f64 i i)) #s(literal -8 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 i #s(literal -2 binary64)))))
(+.f64 (*.f64 (/.f64 (/.f64 (*.f64 i (/.f64 i #s(literal 4 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 i #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 i (*.f64 i i)) #s(literal -8 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 i #s(literal -2 binary64)))) (*.f64 (/.f64 (/.f64 (*.f64 i (/.f64 i #s(literal 4 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 i #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 i (*.f64 i i)) #s(literal -8 binary64)))) (*.f64 i (*.f64 i #s(literal 4 binary64)))))
(+.f64 (*.f64 (/.f64 (*.f64 i (/.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 i #s(literal -2 binary64))) i))) (+.f64 (*.f64 i (*.f64 i #s(literal 4 binary64))) #s(literal -1 binary64))) (*.f64 i #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 i (/.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 i #s(literal -2 binary64))) i))) (+.f64 (*.f64 i (*.f64 i #s(literal 4 binary64))) #s(literal -1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 i (/.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 i #s(literal -2 binary64))) i))) (+.f64 (*.f64 i (*.f64 i #s(literal 4 binary64))) #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 i (/.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 i #s(literal -2 binary64))) i))) (+.f64 (*.f64 i (*.f64 i #s(literal 4 binary64))) #s(literal -1 binary64))) (*.f64 i #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 i (*.f64 i #s(literal 4 binary64))) (/.f64 (/.f64 (*.f64 i (/.f64 i #s(literal 4 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 i #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 i (*.f64 i i)) #s(literal -8 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 i #s(literal -2 binary64))) (/.f64 (/.f64 (*.f64 i (/.f64 i #s(literal 4 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 i #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 i (*.f64 i i)) #s(literal -8 binary64))))))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 i #s(literal -2 binary64))) (/.f64 (/.f64 (*.f64 i (/.f64 i #s(literal 4 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 i #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 i (*.f64 i i)) #s(literal -8 binary64))))) (*.f64 (*.f64 i (*.f64 i #s(literal 4 binary64))) (/.f64 (/.f64 (*.f64 i (/.f64 i #s(literal 4 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 i #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 i (*.f64 i i)) #s(literal -8 binary64))))))
(+.f64 (*.f64 (*.f64 i #s(literal 2 binary64)) (/.f64 (*.f64 i (/.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 i #s(literal -2 binary64))) i))) (+.f64 (*.f64 i (*.f64 i #s(literal 4 binary64))) #s(literal -1 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (/.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 i #s(literal -2 binary64))) i))) (+.f64 (*.f64 i (*.f64 i #s(literal 4 binary64))) #s(literal -1 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (/.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 i #s(literal -2 binary64))) i))) (+.f64 (*.f64 i (*.f64 i #s(literal 4 binary64))) #s(literal -1 binary64)))) (*.f64 (*.f64 i #s(literal 2 binary64)) (/.f64 (*.f64 i (/.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 i #s(literal -2 binary64))) i))) (+.f64 (*.f64 i (*.f64 i #s(literal 4 binary64))) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (*.f64 i (*.f64 i #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 i (/.f64 i #s(literal 4 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (*.f64 i (/.f64 i #s(literal 4 binary64))) (+.f64 (*.f64 i (*.f64 i #s(literal 4 binary64))) #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 i (*.f64 i #s(literal 4 binary64))) #s(literal -1 binary64)))) (/.f64 (*.f64 i (/.f64 i #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 i (*.f64 i #s(literal 4 binary64))) #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 i #s(literal -2 binary64)))) (neg.f64 (/.f64 (*.f64 i (/.f64 i #s(literal 4 binary64))) (+.f64 (*.f64 i (*.f64 i #s(literal 4 binary64))) #s(literal -1 binary64)))))
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(/.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 (*.f64 i i) (*.f64 i (*.f64 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 i i) (*.f64 i (*.f64 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 (*.f64 i i) (*.f64 i (*.f64 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)))))
(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 (*.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 (-.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 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 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 i i)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) #s(literal 1/4 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 i #s(literal -2 binary64)))
(neg.f64 (*.f64 i #s(literal -2 binary64)))
(*.f64 i #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) i)
(*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 i #s(literal -1 binary64))))
(*.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 i #s(literal -2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) i) #s(literal -2 binary64))
(*.f64 (*.f64 i #s(literal -2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -2 binary64) (*.f64 i #s(literal -1 binary64)))

simplify217.0ms (2.7%)

Algorithm
egg-herbie
Rules
3636×*-lowering-*.f32
3636×*-lowering-*.f64
2462×+-lowering-+.f64
2462×+-lowering-+.f32
1500×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0118910
1346833
2972831
33231819
08548819
Stop Event
iter limit
node limit
Counts
156 → 156
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 (pow i 2))
(* (pow i 2) (+ 1/4 (* -1/2 i)))
(* (pow i 2) (+ 1/4 (* i (- i 1/2))))
(* (pow i 2) (+ 1/4 (* i (- (* i (+ 1 (* -2 i))) 1/2))))
(* 1/8 i)
(* i (- 1/8 (* 1/16 (/ 1 i))))
(* i (- (+ 1/8 (/ 1/32 (pow i 2))) (* 1/16 (/ 1 i))))
(* i (- (+ 1/8 (/ 1/32 (pow i 2))) (+ (* 1/16 (/ 1 i)) (* 1/64 (/ 1 (pow i 3))))))
(* 1/8 i)
(* -1 (* i (- (* 1/16 (/ 1 i)) 1/8)))
(* -1 (* i (- (* -1 (/ (- (* 1/32 (/ 1 i)) 1/16) i)) 1/8)))
(* -1 (* i (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (/ 1 i)) 1/32) i)) 1/16) i)) 1/8)))
(* 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)
(* -1/4 (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))))))
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 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 i (*.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i (*.f64 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 (*.f64 i i) (+.f64 #s(literal -4 binary64) (*.f64 i (*.f64 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 (+.f64 #s(literal 1/16 binary64) (/.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 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.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 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 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64)))))
(* 1/4 (pow i 2))
(*.f64 i (*.f64 i #s(literal 1/4 binary64)))
(* (pow i 2) (+ 1/4 (* -1/2 i)))
(*.f64 i (*.f64 i (+.f64 #s(literal 1/4 binary64) (*.f64 i #s(literal -1/2 binary64)))))
(* (pow i 2) (+ 1/4 (* i (- i 1/2))))
(*.f64 (*.f64 i i) (+.f64 #s(literal 1/4 binary64) (*.f64 i (+.f64 i #s(literal -1/2 binary64)))))
(* (pow i 2) (+ 1/4 (* i (- (* i (+ 1 (* -2 i))) 1/2))))
(*.f64 (*.f64 i i) (+.f64 #s(literal 1/4 binary64) (*.f64 i (+.f64 #s(literal -1/2 binary64) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i #s(literal -2 binary64))))))))
(* 1/8 i)
(*.f64 i #s(literal 1/8 binary64))
(* i (- 1/8 (* 1/16 (/ 1 i))))
(+.f64 (*.f64 i #s(literal 1/8 binary64)) #s(literal -1/16 binary64))
(* i (- (+ 1/8 (/ 1/32 (pow i 2))) (* 1/16 (/ 1 i))))
(+.f64 (*.f64 i (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/32 binary64) (*.f64 i i)))) #s(literal -1/16 binary64))
(* i (- (+ 1/8 (/ 1/32 (pow i 2))) (+ (* 1/16 (/ 1 i)) (* 1/64 (/ 1 (pow i 3))))))
(*.f64 i (+.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/32 binary64) (/.f64 #s(literal -1/64 binary64) i)) i) #s(literal -1/16 binary64)) i)))
(* 1/8 i)
(*.f64 i #s(literal 1/8 binary64))
(* -1 (* i (- (* 1/16 (/ 1 i)) 1/8)))
(+.f64 (*.f64 i #s(literal 1/8 binary64)) #s(literal -1/16 binary64))
(* -1 (* i (- (* -1 (/ (- (* 1/32 (/ 1 i)) 1/16) i)) 1/8)))
(+.f64 (*.f64 i (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/32 binary64) (*.f64 i i)))) #s(literal -1/16 binary64))
(* -1 (* i (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (/ 1 i)) 1/32) i)) 1/16) i)) 1/8)))
(*.f64 i (+.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/32 binary64) (/.f64 #s(literal -1/64 binary64) i)) i) #s(literal -1/16 binary64)) 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)))
(* 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))
(* -1/4 (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))
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(/ 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 #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))))
(* (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 #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 (- (* -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))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))

eval80.0ms (1%)

Compiler

Compiled 13441 to 1578 computations (88.3% saved)

prune71.0ms (0.9%)

Pruning

9 alts after pruning (4 fresh and 5 done)

PrunedKeptTotal
New7273730
Fresh011
Picked145
Done011
Total7289737
Accuracy
100.0%
Counts
737 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.6%
(/.f64 (/.f64 (*.f64 (/.f64 i #s(literal 4 binary64)) i) (+.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 (*.f64 i #s(literal 2 binary64)) #s(literal -1 binary64)))
51.6%
(/.f64 (*.f64 i #s(literal 1/8 binary64)) (+.f64 (*.f64 i #s(literal 2 binary64)) #s(literal -1 binary64)))
74.5%
(/.f64 i (/.f64 (+.f64 (*.f64 i (*.f64 i #s(literal 16 binary64))) #s(literal -4 binary64)) i))
50.6%
(/.f64 i (/.f64 #s(literal -4 binary64) i))
49.7%
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
51.0%
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 i i))
74.5%
(*.f64 i (/.f64 i (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64))))
50.7%
(*.f64 i (/.f64 i #s(literal -4 binary64)))
49.8%
#s(literal 1/16 binary64)
Compiler

Compiled 84 to 57 computations (32.1% saved)

simplify119.0ms (1.5%)

Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 i #s(literal 2 binary64))
cost-diff0
(+.f64 (*.f64 i #s(literal 2 binary64)) #s(literal -1 binary64))
cost-diff0
(*.f64 i #s(literal 1/8 binary64))
cost-diff0
(/.f64 (*.f64 i #s(literal 1/8 binary64)) (+.f64 (*.f64 i #s(literal 2 binary64)) #s(literal -1 binary64)))
cost-diff0
(*.f64 i (*.f64 i #s(literal 16 binary64)))
cost-diff0
(+.f64 (*.f64 i (*.f64 i #s(literal 16 binary64))) #s(literal -4 binary64))
cost-diff0
(/.f64 (+.f64 (*.f64 i (*.f64 i #s(literal 16 binary64))) #s(literal -4 binary64)) i)
cost-diff0
(/.f64 i (/.f64 (+.f64 (*.f64 i (*.f64 i #s(literal 16 binary64))) #s(literal -4 binary64)) i))
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 -1/4 binary64) (*.f64 i i))
cost-diff0
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 i i))
Rules
1786×fma-define
1774×sum3-define
1754×fnmadd-define
1456×fnmsub-define
1316×fmsub-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02186
14486
27184
311584
420084
529684
642984
771884
8253284
9294384
10353084
11451984
12573284
13783484
0801884
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (- -1/4 (* i i)) (* i i))
(- -1/4 (* i i))
-1/4
(* i i)
i
(/ i (/ -4 i))
i
(/ -4 i)
-4
(/ i (/ (+ (* i (* i 16)) -4) i))
i
(/ (+ (* i (* i 16)) -4) i)
(+ (* i (* i 16)) -4)
(* i (* i 16))
(* i 16)
16
-4
(/ (* i 1/8) (+ (* i 2) -1))
(* i 1/8)
i
1/8
(+ (* i 2) -1)
(* i 2)
2
-1
Outputs
(* (- -1/4 (* i i)) (* i i))
(*.f64 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)
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)
(/ i (/ (+ (* i (* i 16)) -4) i))
(/.f64 i (/.f64 (-.f64 #s(literal -4 binary64) (*.f64 i (*.f64 i #s(literal -16 binary64)))) i))
i
(/ (+ (* i (* i 16)) -4) i)
(/.f64 (-.f64 #s(literal -4 binary64) (*.f64 i (*.f64 i #s(literal -16 binary64)))) i)
(+ (* i (* i 16)) -4)
(-.f64 #s(literal -4 binary64) (*.f64 i (*.f64 i #s(literal -16 binary64))))
(* i (* i 16))
(*.f64 i (*.f64 i #s(literal 16 binary64)))
(* i 16)
(*.f64 i #s(literal 16 binary64))
16
#s(literal 16 binary64)
-4
#s(literal -4 binary64)
(/ (* i 1/8) (+ (* i 2) -1))
(/.f64 (*.f64 i #s(literal 1/8 binary64)) (+.f64 (*.f64 i #s(literal 2 binary64)) #s(literal -1 binary64)))
(* i 1/8)
(*.f64 i #s(literal 1/8 binary64))
i
1/8
#s(literal 1/8 binary64)
(+ (* i 2) -1)
(+.f64 (*.f64 i #s(literal 2 binary64)) #s(literal -1 binary64))
(* i 2)
(*.f64 i #s(literal 2 binary64))
2
#s(literal 2 binary64)
-1
#s(literal -1 binary64)

localize77.0ms (1%)

Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 (*.f64 i #s(literal 2 binary64)) #s(literal -1 binary64))
accuracy100.0%
(*.f64 i #s(literal 2 binary64))
accuracy100.0%
(*.f64 i #s(literal 1/8 binary64))
accuracy100.0%
(/.f64 (*.f64 i #s(literal 1/8 binary64)) (+.f64 (*.f64 i #s(literal 2 binary64)) #s(literal -1 binary64)))
accuracy100.0%
(*.f64 i #s(literal 16 binary64))
accuracy100.0%
(+.f64 (*.f64 i (*.f64 i #s(literal 16 binary64))) #s(literal -4 binary64))
accuracy99.9%
(/.f64 i (/.f64 (+.f64 (*.f64 i (*.f64 i #s(literal 16 binary64))) #s(literal -4 binary64)) i))
accuracy75.6%
(/.f64 (+.f64 (*.f64 i (*.f64 i #s(literal 16 binary64))) #s(literal -4 binary64)) i)
accuracy100.0%
(/.f64 #s(literal -4 binary64) i)
accuracy99.8%
(/.f64 i (/.f64 #s(literal -4 binary64) i))
accuracy100.0%
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
accuracy100.0%
(*.f64 i i)
accuracy99.9%
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 i i))
Results
52.0ms255×0valid
1.0ms2valid
Compiler

Compiled 93 to 22 computations (76.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 11.0ms (40.6% of total)
ival-div: 10.0ms (36.9% of total)
ival-add: 3.0ms (11.1% of total)
const: 1.0ms (3.7% of total)
ival-sub: 1.0ms (3.7% of total)
backward-pass: 0.0ms (0% of total)

series6.0ms (0.1%)

Counts
14 → 168
Calls
Call 1
Inputs
#<alt (* (- -1/4 (* i i)) (* i i))>
#<alt (- -1/4 (* i i))>
#<alt (* i i)>
#<alt (/ i (/ -4 i))>
#<alt (/ -4 i)>
#<alt (/ i (/ (+ (* i (* i 16)) -4) i))>
#<alt (/ (+ (* i (* i 16)) -4) i)>
#<alt (+ (* i (* i 16)) -4)>
#<alt (* i (* i 16))>
#<alt (/ (* i 1/8) (+ (* i 2) -1))>
#<alt (* i 1/8)>
#<alt (+ (* i 2) -1)>
#<alt (* i 2)>
#<alt (* i 16)>
Outputs
#<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>
#<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))))))>
#<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)>
#<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 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 (* 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 (* -1/8 i)>
#<alt (* i (- (* -1/4 i) 1/8))>
#<alt (* i (- (* i (- (* -1/2 i) 1/4)) 1/8))>
#<alt (* i (- (* i (- (* i (- (* -1 i) 1/2)) 1/4)) 1/8))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/32 (/ 1 i)))>
#<alt (+ 1/16 (+ (/ 1/64 (pow i 2)) (* 1/32 (/ 1 i))))>
#<alt (+ 1/16 (+ (/ 1/64 (pow i 2)) (+ (* 1/32 (/ 1 i)) (* 1/128 (/ 1 (pow i 3))))))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/32 (/ 1 i)))>
#<alt (+ 1/16 (+ (/ 1/64 (pow i 2)) (* 1/32 (/ 1 i))))>
#<alt (+ 1/16 (* -1 (/ (- (* -1 (/ (+ 1/64 (* 1/128 (/ 1 i))) i)) 1/32) i)))>
#<alt (* 1/8 i)>
#<alt (* 1/8 i)>
#<alt (* 1/8 i)>
#<alt (* 1/8 i)>
#<alt (* 1/8 i)>
#<alt (* 1/8 i)>
#<alt (* 1/8 i)>
#<alt (* 1/8 i)>
#<alt (* 1/8 i)>
#<alt (* 1/8 i)>
#<alt (* 1/8 i)>
#<alt (* 1/8 i)>
#<alt -1>
#<alt (- (* 2 i) 1)>
#<alt (- (* 2 i) 1)>
#<alt (- (* 2 i) 1)>
#<alt (* 2 i)>
#<alt (* i (- 2 (/ 1 i)))>
#<alt (* i (- 2 (/ 1 i)))>
#<alt (* i (- 2 (/ 1 i)))>
#<alt (* 2 i)>
#<alt (* -1 (* i (- (/ 1 i) 2)))>
#<alt (* -1 (* i (- (/ 1 i) 2)))>
#<alt (* -1 (* i (- (/ 1 i) 2)))>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 16 i)>
#<alt (* 16 i)>
#<alt (* 16 i)>
#<alt (* 16 i)>
#<alt (* 16 i)>
#<alt (* 16 i)>
#<alt (* 16 i)>
#<alt (* 16 i)>
#<alt (* 16 i)>
#<alt (* 16 i)>
#<alt (* 16 i)>
#<alt (* 16 i)>
Calls

42 calls:

TimeVariablePointExpression
0.0ms
i
@inf
(* i 1/8)
0.0ms
i
@-inf
(* i 16)
0.0ms
i
@0
(/ -4 i)
0.0ms
i
@-inf
(* i 1/8)
0.0ms
i
@0
(/ (* i 1/8) (+ (* i 2) -1))

rewrite311.0ms (3.9%)

Algorithm
batch-egg-rewrite
Rules
4192×*-lowering-*.f32
4192×*-lowering-*.f64
3320×/-lowering-/.f32
3320×/-lowering-/.f64
1044×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02175
111575
277673
3756873
0800573
Stop Event
iter limit
node limit
Counts
14 → 587
Calls
Call 1
Inputs
(* (- -1/4 (* i i)) (* i i))
(- -1/4 (* i i))
(* i i)
(/ i (/ -4 i))
(/ -4 i)
(/ i (/ (+ (* i (* i 16)) -4) i))
(/ (+ (* i (* i 16)) -4) i)
(+ (* i (* i 16)) -4)
(* i (* i 16))
(/ (* i 1/8) (+ (* i 2) -1))
(* i 1/8)
(+ (* i 2) -1)
(* i 2)
(* i 16)
Outputs
(+.f64 (/.f64 (*.f64 i i) #s(literal -4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (/.f64 (*.f64 i i) #s(literal -4 binary64)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 i i) (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))
(fma.f64 i (/.f64 i #s(literal -4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))
(fma.f64 (*.f64 i i) #s(literal -1/4 binary64) (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))
(fma.f64 (-.f64 #s(literal 0 binary64) i) (/.f64 i #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) #s(literal -4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))
(fma.f64 (/.f64 i #s(literal -4 binary64)) i (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))
(fma.f64 (/.f64 i #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) i) (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))
(/.f64 (*.f64 i i) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i i))))) (*.f64 (*.f64 i i) (-.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 (*.f64 i i) (-.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))))
(/.f64 (*.f64 (*.f64 i i) (-.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i i))))))
(/.f64 (*.f64 (*.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 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 binary64) (*.f64 i i)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(/.f64 (neg.f64 (*.f64 (*.f64 i i) (-.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i i)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 i i) (-.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 (/.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal -64 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 i (*.f64 i (*.f64 i i))) #s(literal 16 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) (*.f64 (/.f64 (*.f64 i i) #s(literal -4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))))
(/.f64 (-.f64 (/.f64 (*.f64 i (*.f64 i (*.f64 i i))) #s(literal 16 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (-.f64 (/.f64 (*.f64 i i) #s(literal -4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))
(/.f64 (*.f64 (*.f64 i i) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i i)))))))
(/.f64 (*.f64 (*.f64 i i) (+.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 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))) (*.f64 i i)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i i)))))))
(/.f64 (*.f64 (+.f64 #s(literal -1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 i i)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) #s(literal 1/4 binary64)))
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(*.f64 (*.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 i i))
(*.f64 (-.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i i)))))) (*.f64 i i)))
(*.f64 (-.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))) (/.f64 (*.f64 i i) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.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 #s(literal 1 binary64) (+.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 i i)))
(*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (/.f64 (*.f64 i i) (+.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(*.f64 (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) i)
(*.f64 (*.f64 (*.f64 i i) (-.f64 #s(literal -1/64 binary64) (*.f64 (*.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 #s(literal -1/4 binary64) (*.f64 i i)))))))
(*.f64 (*.f64 (*.f64 i i) (-.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(*.f64 (/.f64 (*.f64 (*.f64 i i) (-.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))) (+.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 i (*.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i i)))) (*.f64 (*.f64 i (*.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i i)))) (*.f64 i (*.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i i)))))))) (+.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 i (*.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i i)))) (-.f64 (*.f64 i (*.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i i)))) #s(literal 1/16 binary64)))))
(*.f64 (/.f64 (*.f64 (*.f64 i i) (-.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))) (-.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 i (*.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i i)))) (*.f64 i (*.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i i))))))) (-.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i i))))))
(*.f64 (/.f64 (*.f64 (*.f64 i i) (-.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 (*.f64 i i) (-.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) (+.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 i i) (-.f64 (*.f64 i i) #s(literal -1/4 binary64)))))
(+.f64 #s(literal -1/4 binary64) (-.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 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i i)))))) (neg.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i i))))))))
(+.f64 (/.f64 #s(literal 1/16 binary64) (+.f64 #s(literal -1/4 binary64) (*.f64 i i))) (neg.f64 (/.f64 (*.f64 i (*.f64 i (*.f64 i i))) (+.f64 #s(literal -1/4 binary64) (*.f64 i i)))))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(-.f64 #s(literal 0 binary64) (-.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 #s(literal -1/4 binary64) (*.f64 i i)))))) (/.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i i)))))))
(-.f64 (/.f64 #s(literal 1/16 binary64) (+.f64 #s(literal -1/4 binary64) (*.f64 i i))) (/.f64 (*.f64 i (*.f64 i (*.f64 i i))) (+.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(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 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i i))))))))
(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 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i i)))))))
(neg.f64 (/.f64 (+.f64 #s(literal -1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (+.f64 #s(literal -1/4 binary64) (*.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 #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 (-.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i i))))))
(/.f64 (-.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 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 #s(literal -1/4 binary64) (*.f64 i i)))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.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 #s(literal 0 binary64) (*.f64 i i)) #s(literal 1/4 binary64)))
(/.f64 (-.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))) (*.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i i))))) (+.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))))
(/.f64 (-.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))) (*.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 i i)) (+.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 -1/262144 binary64) (*.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))) (*.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i i))))) (+.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))) (+.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))))))
(/.f64 (-.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 i i) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))) (*.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 i i)) (+.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 #s(literal -1/4 binary64) (*.f64 i i)))))) (*.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i i))))) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))) (*.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i i))))) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i i)))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (+.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i))))) (*.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 i i)) (+.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(/.f64 (*.f64 (-.f64 #s(literal -1/262144 binary64) (*.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))) (+.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i i)))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i i)))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))) #s(literal 1 binary64)) (*.f64 (+.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 #s(literal -1/4 binary64) (*.f64 i i))))
(/.f64 (*.f64 (-.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 i i) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (+.f64 #s(literal -1/4 binary64) (*.f64 i i))))
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(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 8 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 (*.f64 i #s(literal 4 binary64)) #s(literal -2 binary64)))) (+.f64 (*.f64 (*.f64 i i) #s(literal 4 binary64)) (+.f64 (*.f64 i #s(literal -2 binary64)) #s(literal -1 binary64))))) (+.f64 (*.f64 (*.f64 i i) #s(literal 4 binary64)) (+.f64 (*.f64 i #s(literal -2 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 i i) #s(literal 4 binary64))) (+.f64 (*.f64 (*.f64 i (*.f64 i i)) #s(literal 8 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 i #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 i #s(literal 2 binary64))))))
(-.f64 #s(literal 0 binary64) (*.f64 i #s(literal -2 binary64)))
(neg.f64 (*.f64 i #s(literal -2 binary64)))
(*.f64 i #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) i)
(*.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 i #s(literal -2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) i) #s(literal -2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 i #s(literal 2 binary64)))
(*.f64 (*.f64 i #s(literal -2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) i))
(*.f64 i #s(literal 16 binary64))
(*.f64 #s(literal 16 binary64) i)

simplify196.0ms (2.5%)

Algorithm
egg-herbie
Rules
2030×*-lowering-*.f32
2030×*-lowering-*.f64
1856×fma-lowering-fma.f32
1856×fma-lowering-fma.f64
1580×sum3-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0115883
1308833
2784814
32206806
45477806
08151806
Stop Event
iter limit
node limit
Counts
168 → 168
Calls
Call 1
Inputs
(* -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
(- (* -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))))))
(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)
(* -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 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)))))
(* 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))
(* -1/8 i)
(* i (- (* -1/4 i) 1/8))
(* i (- (* i (- (* -1/2 i) 1/4)) 1/8))
(* i (- (* i (- (* i (- (* -1 i) 1/2)) 1/4)) 1/8))
1/16
(+ 1/16 (* 1/32 (/ 1 i)))
(+ 1/16 (+ (/ 1/64 (pow i 2)) (* 1/32 (/ 1 i))))
(+ 1/16 (+ (/ 1/64 (pow i 2)) (+ (* 1/32 (/ 1 i)) (* 1/128 (/ 1 (pow i 3))))))
1/16
(+ 1/16 (* 1/32 (/ 1 i)))
(+ 1/16 (+ (/ 1/64 (pow i 2)) (* 1/32 (/ 1 i))))
(+ 1/16 (* -1 (/ (- (* -1 (/ (+ 1/64 (* 1/128 (/ 1 i))) i)) 1/32) i)))
(* 1/8 i)
(* 1/8 i)
(* 1/8 i)
(* 1/8 i)
(* 1/8 i)
(* 1/8 i)
(* 1/8 i)
(* 1/8 i)
(* 1/8 i)
(* 1/8 i)
(* 1/8 i)
(* 1/8 i)
-1
(- (* 2 i) 1)
(- (* 2 i) 1)
(- (* 2 i) 1)
(* 2 i)
(* i (- 2 (/ 1 i)))
(* i (- 2 (/ 1 i)))
(* i (- 2 (/ 1 i)))
(* 2 i)
(* -1 (* i (- (/ 1 i) 2)))
(* -1 (* i (- (/ 1 i) 2)))
(* -1 (* i (- (/ 1 i) 2)))
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 16 i)
(* 16 i)
(* 16 i)
(* 16 i)
(* 16 i)
(* 16 i)
(* 16 i)
(* 16 i)
(* 16 i)
(* 16 i)
(* 16 i)
(* 16 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) (- (* -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 i (-.f64 #s(literal 0 binary64) (*.f64 i (*.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 i (-.f64 #s(literal 0 binary64) (*.f64 i (*.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
#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))
(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)
(* -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 i (*.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i (*.f64 i (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 i 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 (*.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 1/256 binary64) (*.f64 (*.f64 i i) (*.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 1/64 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 (+ (/ 1/256 (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 (*.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 1/256 binary64) (*.f64 (*.f64 i i) (*.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 1/64 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 (*.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 i (*.f64 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 i (*.f64 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 i (*.f64 i #s(literal 16 binary64)))
(* 16 (pow i 2))
(*.f64 i (*.f64 i #s(literal 16 binary64)))
(* 16 (pow i 2))
(*.f64 i (*.f64 i #s(literal 16 binary64)))
(* 16 (pow i 2))
(*.f64 i (*.f64 i #s(literal 16 binary64)))
(* 16 (pow i 2))
(*.f64 i (*.f64 i #s(literal 16 binary64)))
(* 16 (pow i 2))
(*.f64 i (*.f64 i #s(literal 16 binary64)))
(* 16 (pow i 2))
(*.f64 i (*.f64 i #s(literal 16 binary64)))
(* 16 (pow i 2))
(*.f64 i (*.f64 i #s(literal 16 binary64)))
(* 16 (pow i 2))
(*.f64 i (*.f64 i #s(literal 16 binary64)))
(* 16 (pow i 2))
(*.f64 i (*.f64 i #s(literal 16 binary64)))
(* 16 (pow i 2))
(*.f64 i (*.f64 i #s(literal 16 binary64)))
(* 16 (pow i 2))
(*.f64 i (*.f64 i #s(literal 16 binary64)))
(* -1/8 i)
(*.f64 i #s(literal -1/8 binary64))
(* i (- (* -1/4 i) 1/8))
(*.f64 i (+.f64 #s(literal -1/8 binary64) (*.f64 #s(literal -1/4 binary64) i)))
(* i (- (* i (- (* -1/2 i) 1/4)) 1/8))
(*.f64 i (+.f64 #s(literal -1/8 binary64) (*.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i #s(literal -1/2 binary64))))))
(* i (- (* i (- (* i (- (* -1 i) 1/2)) 1/4)) 1/8))
(*.f64 i (+.f64 #s(literal -1/8 binary64) (*.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i (-.f64 #s(literal -1/2 binary64) i))))))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/32 (/ 1 i)))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/32 binary64) i))
(+ 1/16 (+ (/ 1/64 (pow i 2)) (* 1/32 (/ 1 i))))
(+.f64 (/.f64 #s(literal 1/32 binary64) i) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(+ 1/16 (+ (/ 1/64 (pow i 2)) (+ (* 1/32 (/ 1 i)) (* 1/128 (/ 1 (pow i 3))))))
(+.f64 #s(literal 1/16 binary64) (/.f64 (-.f64 #s(literal 1/32 binary64) (/.f64 (+.f64 #s(literal -1/64 binary64) (/.f64 #s(literal -1/128 binary64) i)) i)) i))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/32 (/ 1 i)))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/32 binary64) i))
(+ 1/16 (+ (/ 1/64 (pow i 2)) (* 1/32 (/ 1 i))))
(+.f64 (/.f64 #s(literal 1/32 binary64) i) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(+ 1/16 (* -1 (/ (- (* -1 (/ (+ 1/64 (* 1/128 (/ 1 i))) i)) 1/32) i)))
(+.f64 #s(literal 1/16 binary64) (/.f64 (-.f64 #s(literal 1/32 binary64) (/.f64 (+.f64 #s(literal -1/64 binary64) (/.f64 #s(literal -1/128 binary64) i)) i)) i))
(* 1/8 i)
(*.f64 i #s(literal 1/8 binary64))
(* 1/8 i)
(*.f64 i #s(literal 1/8 binary64))
(* 1/8 i)
(*.f64 i #s(literal 1/8 binary64))
(* 1/8 i)
(*.f64 i #s(literal 1/8 binary64))
(* 1/8 i)
(*.f64 i #s(literal 1/8 binary64))
(* 1/8 i)
(*.f64 i #s(literal 1/8 binary64))
(* 1/8 i)
(*.f64 i #s(literal 1/8 binary64))
(* 1/8 i)
(*.f64 i #s(literal 1/8 binary64))
(* 1/8 i)
(*.f64 i #s(literal 1/8 binary64))
(* 1/8 i)
(*.f64 i #s(literal 1/8 binary64))
(* 1/8 i)
(*.f64 i #s(literal 1/8 binary64))
(* 1/8 i)
(*.f64 i #s(literal 1/8 binary64))
-1
#s(literal -1 binary64)
(- (* 2 i) 1)
(+.f64 #s(literal -1 binary64) (*.f64 i #s(literal 2 binary64)))
(- (* 2 i) 1)
(+.f64 #s(literal -1 binary64) (*.f64 i #s(literal 2 binary64)))
(- (* 2 i) 1)
(+.f64 #s(literal -1 binary64) (*.f64 i #s(literal 2 binary64)))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* i (- 2 (/ 1 i)))
(+.f64 #s(literal -1 binary64) (*.f64 i #s(literal 2 binary64)))
(* i (- 2 (/ 1 i)))
(+.f64 #s(literal -1 binary64) (*.f64 i #s(literal 2 binary64)))
(* i (- 2 (/ 1 i)))
(+.f64 #s(literal -1 binary64) (*.f64 i #s(literal 2 binary64)))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* -1 (* i (- (/ 1 i) 2)))
(+.f64 #s(literal -1 binary64) (*.f64 i #s(literal 2 binary64)))
(* -1 (* i (- (/ 1 i) 2)))
(+.f64 #s(literal -1 binary64) (*.f64 i #s(literal 2 binary64)))
(* -1 (* i (- (/ 1 i) 2)))
(+.f64 #s(literal -1 binary64) (*.f64 i #s(literal 2 binary64)))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 2 i)
(*.f64 i #s(literal 2 binary64))
(* 16 i)
(*.f64 i #s(literal 16 binary64))
(* 16 i)
(*.f64 i #s(literal 16 binary64))
(* 16 i)
(*.f64 i #s(literal 16 binary64))
(* 16 i)
(*.f64 i #s(literal 16 binary64))
(* 16 i)
(*.f64 i #s(literal 16 binary64))
(* 16 i)
(*.f64 i #s(literal 16 binary64))
(* 16 i)
(*.f64 i #s(literal 16 binary64))
(* 16 i)
(*.f64 i #s(literal 16 binary64))
(* 16 i)
(*.f64 i #s(literal 16 binary64))
(* 16 i)
(*.f64 i #s(literal 16 binary64))
(* 16 i)
(*.f64 i #s(literal 16 binary64))
(* 16 i)
(*.f64 i #s(literal 16 binary64))

eval139.0ms (1.7%)

Compiler

Compiled 15804 to 1710 computations (89.2% saved)

prune73.0ms (0.9%)

Pruning

10 alts after pruning (3 fresh and 7 done)

PrunedKeptTotal
New7703773
Fresh000
Picked134
Done145
Total77210782
Accuracy
100.0%
Counts
782 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.6%
(/.f64 (/.f64 (*.f64 (/.f64 i #s(literal 4 binary64)) i) (+.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 (*.f64 i #s(literal 2 binary64)) #s(literal -1 binary64)))
74.5%
(/.f64 i (/.f64 (+.f64 (*.f64 i (*.f64 i #s(literal 16 binary64))) #s(literal -4 binary64)) i))
50.6%
(/.f64 i (/.f64 #s(literal -4 binary64) i))
99.9%
(/.f64 i (+.f64 (*.f64 i #s(literal 16 binary64)) (/.f64 #s(literal -4 binary64) i)))
49.0%
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/32 binary64) i))
49.7%
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
51.0%
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 i i))
50.7%
(*.f64 i (/.f64 i #s(literal -4 binary64)))
4.1%
(*.f64 i #s(literal -1/8 binary64))
49.8%
#s(literal 1/16 binary64)
Compiler

Compiled 82 to 56 computations (31.7% saved)

simplify5.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal -4 binary64) i)
cost-diff0
(*.f64 i #s(literal 16 binary64))
cost-diff0
(+.f64 (*.f64 i #s(literal 16 binary64)) (/.f64 #s(literal -4 binary64) i))
cost-diff0
(/.f64 i (+.f64 (*.f64 i #s(literal 16 binary64)) (/.f64 #s(literal -4 binary64) i)))
cost-diff0
(/.f64 #s(literal 1/32 binary64) i)
cost-diff0
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/32 binary64) i))
cost-diff0
(*.f64 i #s(literal -1/8 binary64))
Rules
+-lowering-+.f64
*-lowering-*.f32
*-lowering-*.f64
+-lowering-+.f32
/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01339
11839
21939
01939
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* i -1/8)
i
-1/8
(+ 1/16 (/ 1/32 i))
1/16
(/ 1/32 i)
1/32
i
(/ i (+ (* i 16) (/ -4 i)))
i
(+ (* i 16) (/ -4 i))
(* i 16)
16
(/ -4 i)
-4
Outputs
(* i -1/8)
(*.f64 i #s(literal -1/8 binary64))
i
-1/8
#s(literal -1/8 binary64)
(+ 1/16 (/ 1/32 i))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/32 binary64) i))
1/16
#s(literal 1/16 binary64)
(/ 1/32 i)
(/.f64 #s(literal 1/32 binary64) i)
1/32
#s(literal 1/32 binary64)
i
(/ i (+ (* i 16) (/ -4 i)))
(/.f64 i (+.f64 (*.f64 i #s(literal 16 binary64)) (/.f64 #s(literal -4 binary64) i)))
i
(+ (* i 16) (/ -4 i))
(+.f64 (*.f64 i #s(literal 16 binary64)) (/.f64 #s(literal -4 binary64) i))
(* i 16)
(*.f64 i #s(literal 16 binary64))
16
#s(literal 16 binary64)
(/ -4 i)
(/.f64 #s(literal -4 binary64) i)
-4
#s(literal -4 binary64)

localize47.0ms (0.6%)

Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 #s(literal -4 binary64) i)
accuracy100.0%
(*.f64 i #s(literal 16 binary64))
accuracy100.0%
(+.f64 (*.f64 i #s(literal 16 binary64)) (/.f64 #s(literal -4 binary64) i))
accuracy99.9%
(/.f64 i (+.f64 (*.f64 i #s(literal 16 binary64)) (/.f64 #s(literal -4 binary64) i)))
accuracy100.0%
(/.f64 #s(literal 1/32 binary64) i)
accuracy100.0%
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/32 binary64) i))
accuracy100.0%
(*.f64 i #s(literal -1/8 binary64))
Results
33.0ms256×0valid
Compiler

Compiled 43 to 14 computations (67.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-div: 7.0ms (40.8% of total)
ival-mult: 5.0ms (29.2% of total)
ival-add: 4.0ms (23.3% of total)
const: 1.0ms (5.8% of total)
backward-pass: 0.0ms (0% of total)

series3.0ms (0%)

Counts
7 → 84
Calls
Call 1
Inputs
#<alt (* i -1/8)>
#<alt (+ 1/16 (/ 1/32 i))>
#<alt (/ 1/32 i)>
#<alt (/ i (+ (* i 16) (/ -4 i)))>
#<alt (+ (* i 16) (/ -4 i))>
#<alt (* i 16)>
#<alt (/ -4 i)>
Outputs
#<alt (* -1/8 i)>
#<alt (* -1/8 i)>
#<alt (* -1/8 i)>
#<alt (* -1/8 i)>
#<alt (* -1/8 i)>
#<alt (* -1/8 i)>
#<alt (* -1/8 i)>
#<alt (* -1/8 i)>
#<alt (* -1/8 i)>
#<alt (* -1/8 i)>
#<alt (* -1/8 i)>
#<alt (* -1/8 i)>
#<alt (/ 1/32 i)>
#<alt (/ (+ 1/32 (* 1/16 i)) i)>
#<alt (/ (+ 1/32 (* 1/16 i)) i)>
#<alt (/ (+ 1/32 (* 1/16 i)) i)>
#<alt 1/16>
#<alt (+ 1/16 (* 1/32 (/ 1 i)))>
#<alt (+ 1/16 (* 1/32 (/ 1 i)))>
#<alt (+ 1/16 (* 1/32 (/ 1 i)))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/32 (/ 1 i)))>
#<alt (+ 1/16 (* 1/32 (/ 1 i)))>
#<alt (+ 1/16 (* 1/32 (/ 1 i)))>
#<alt (/ 1/32 i)>
#<alt (/ 1/32 i)>
#<alt (/ 1/32 i)>
#<alt (/ 1/32 i)>
#<alt (/ 1/32 i)>
#<alt (/ 1/32 i)>
#<alt (/ 1/32 i)>
#<alt (/ 1/32 i)>
#<alt (/ 1/32 i)>
#<alt (/ 1/32 i)>
#<alt (/ 1/32 i)>
#<alt (/ 1/32 i)>
#<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 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 (* 16 i)>
#<alt (* 16 i)>
#<alt (* 16 i)>
#<alt (* 16 i)>
#<alt (* 16 i)>
#<alt (* 16 i)>
#<alt (* 16 i)>
#<alt (* 16 i)>
#<alt (* 16 i)>
#<alt (* 16 i)>
#<alt (* 16 i)>
#<alt (* 16 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)>
#<alt (/ -4 i)>
Calls

21 calls:

TimeVariablePointExpression
0.0ms
i
@0
(/ 1/32 i)
0.0ms
i
@0
(* i -1/8)
0.0ms
i
@0
(+ 1/16 (/ 1/32 i))
0.0ms
i
@-inf
(/ i (+ (* i 16) (/ -4 i)))
0.0ms
i
@0
(/ i (+ (* i 16) (/ -4 i)))

rewrite271.0ms (3.4%)

Algorithm
batch-egg-rewrite
Rules
3282×*-lowering-*.f32
3282×*-lowering-*.f64
2578×/-lowering-/.f32
2578×/-lowering-/.f64
1802×sum5-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01331
16631
255631
3621731
0810831
Stop Event
iter limit
node limit
Counts
7 → 225
Calls
Call 1
Inputs
(* i -1/8)
(+ 1/16 (/ 1/32 i))
(/ 1/32 i)
(/ i (+ (* i 16) (/ -4 i)))
(+ (* i 16) (/ -4 i))
(* i 16)
(/ -4 i)
Outputs
(*.f64 i #s(literal -1/8 binary64))
(*.f64 #s(literal -1/8 binary64) i)
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/32 binary64) i))
(+.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 1/16 binary64))
(+.f64 (/.f64 #s(literal -1/256 binary64) (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1/32 binary64) i))) (neg.f64 (/.f64 (/.f64 #s(literal 1/1024 binary64) (*.f64 i i)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/32 binary64) i)))))
(-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/32 binary64) i))
(-.f64 (/.f64 #s(literal -1/256 binary64) (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1/32 binary64) i))) (/.f64 (/.f64 #s(literal 1/1024 binary64) (*.f64 i i)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/32 binary64) i))))
(-.f64 (/.f64 (/.f64 #s(literal 1/1024 binary64) (*.f64 i i)) (+.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal -1/16 binary64))) (/.f64 #s(literal 1/256 binary64) (+.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal -1/16 binary64))))
(fma.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) i) #s(literal 1/16 binary64))
(fma.f64 #s(literal -1/32 binary64) (/.f64 #s(literal -1 binary64) i) #s(literal 1/16 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/32 binary64) i) #s(literal 1/16 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 1/32 binary64) #s(literal 1/16 binary64))
(neg.f64 (/.f64 (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/32768 binary64) (*.f64 i (*.f64 i i)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/256 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/1024 binary64) i) #s(literal 1/512 binary64)) i)))))
(neg.f64 (/.f64 (-.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/1024 binary64) (*.f64 i i))) (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1/32 binary64) i))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/32768 binary64) (*.f64 i (*.f64 i i))))) (+.f64 #s(literal 1/256 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/1024 binary64) i) #s(literal 1/512 binary64)) i))))
(neg.f64 (/.f64 (+.f64 #s(literal -1/256 binary64) (/.f64 #s(literal 1/1024 binary64) (*.f64 i i))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/32 binary64) i))))
(/.f64 (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/32768 binary64) (*.f64 i (*.f64 i i)))) (+.f64 #s(literal 1/256 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/1024 binary64) i) #s(literal 1/512 binary64)) i)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/32 binary64) i))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/32 binary64) i))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal -1/16 binary64)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (*.f64 i i)) #s(literal -1/256 binary64))))
(/.f64 (-.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/1024 binary64) (*.f64 i i))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/32 binary64) i)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/32 binary64) i)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/32768 binary64) (*.f64 i (*.f64 i i))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/256 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/1024 binary64) i) #s(literal 1/512 binary64)) i))))
(/.f64 (+.f64 #s(literal -1/256 binary64) (/.f64 #s(literal 1/1024 binary64) (*.f64 i i))) (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1/32 binary64) i)))
(/.f64 (+.f64 #s(literal 1/68719476736 binary64) (*.f64 (/.f64 #s(literal 1/32768 binary64) (*.f64 i (*.f64 i i))) (/.f64 (/.f64 #s(literal 1/32768 binary64) (*.f64 i (*.f64 i i))) (/.f64 (*.f64 i (*.f64 i i)) #s(literal 1/32768 binary64))))) (*.f64 (+.f64 #s(literal 1/256 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/1024 binary64) i) #s(literal 1/512 binary64)) i)) (+.f64 #s(literal 1/16777216 binary64) (*.f64 (/.f64 #s(literal 1/32768 binary64) (*.f64 i (*.f64 i i))) (-.f64 (/.f64 #s(literal 1/32768 binary64) (*.f64 i (*.f64 i i))) #s(literal 1/4096 binary64))))))
(/.f64 (-.f64 #s(literal 1/16777216 binary64) (/.f64 (/.f64 #s(literal 1/32768 binary64) (*.f64 i (*.f64 i i))) (/.f64 (*.f64 i (*.f64 i i)) #s(literal 1/32768 binary64)))) (*.f64 (+.f64 #s(literal 1/256 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/1024 binary64) i) #s(literal 1/512 binary64)) i)) (-.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/32768 binary64) (*.f64 i (*.f64 i i))))))
(/.f64 (-.f64 #s(literal 1/16777216 binary64) (/.f64 (/.f64 #s(literal 1/32768 binary64) (*.f64 i (*.f64 i i))) (/.f64 (*.f64 i (*.f64 i i)) #s(literal 1/32768 binary64)))) (*.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/32 binary64) i)) (+.f64 #s(literal 1/65536 binary64) (*.f64 (/.f64 #s(literal 1/1024 binary64) (*.f64 i i)) (+.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/1024 binary64) (*.f64 i i)))))))
(/.f64 (+.f64 (/.f64 #s(literal 1/1024 binary64) (*.f64 i i)) #s(literal -1/256 binary64)) (+.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal -1/16 binary64)))
(/.f64 (+.f64 #s(literal 1/65536 binary64) (*.f64 (/.f64 #s(literal -1/1024 binary64) (*.f64 i i)) (/.f64 #s(literal 1/1024 binary64) (*.f64 i i)))) (*.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/32 binary64) i)) (+.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/1024 binary64) (*.f64 i i)))))
(/.f64 (-.f64 (*.f64 #s(literal 1/256 binary64) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/32 binary64) i))) (*.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/32 binary64) i)) (/.f64 #s(literal 1/1024 binary64) (*.f64 i i)))) (*.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/32 binary64) i)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/32 binary64) i))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/32768 binary64) (*.f64 i (*.f64 i i)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/256 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/1024 binary64) i) #s(literal 1/512 binary64)) i)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1/256 binary64) (/.f64 #s(literal 1/1024 binary64) (*.f64 i i)))) (neg.f64 (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1/32 binary64) i))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/1024 binary64) (*.f64 i i)) #s(literal -1/256 binary64))) (neg.f64 (+.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal -1/16 binary64))))
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(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 16777216 binary64) (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i)))) (/.f64 (/.f64 #s(literal -64 binary64) (*.f64 i (*.f64 i i))) (/.f64 (*.f64 i (*.f64 i i)) #s(literal -64 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 i #s(literal 16 binary64)) (/.f64 #s(literal 4 binary64) i)))) (+.f64 (*.f64 (*.f64 (*.f64 i i) (*.f64 i i)) #s(literal 65536 binary64)) (*.f64 (/.f64 #s(literal 16 binary64) (*.f64 i i)) (+.f64 (*.f64 (*.f64 i i) #s(literal 256 binary64)) (/.f64 #s(literal 16 binary64) (*.f64 i i))))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 i i) (*.f64 i i)) #s(literal 65536 binary64)) (*.f64 (/.f64 #s(literal -16 binary64) (*.f64 i i)) (/.f64 #s(literal 16 binary64) (*.f64 i i)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 i #s(literal 16 binary64)) (/.f64 #s(literal 4 binary64) i)))) (+.f64 (*.f64 (*.f64 i i) #s(literal 256 binary64)) (/.f64 #s(literal 16 binary64) (*.f64 i i))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 i #s(literal 16 binary64)) (/.f64 #s(literal -4 binary64) i))) #s(literal -1 binary64))
(*.f64 (+.f64 (*.f64 i #s(literal 16 binary64)) (/.f64 #s(literal -4 binary64) i)) #s(literal 1 binary64))
(*.f64 (+.f64 (*.f64 i #s(literal 16 binary64)) (/.f64 #s(literal -4 binary64) i)) (/.f64 (+.f64 (*.f64 i #s(literal 16 binary64)) (/.f64 #s(literal 4 binary64) i)) (+.f64 (*.f64 i #s(literal 16 binary64)) (/.f64 #s(literal 4 binary64) i))))
(*.f64 (+.f64 (*.f64 i #s(literal 16 binary64)) (/.f64 #s(literal -4 binary64) i)) (*.f64 (+.f64 (*.f64 i #s(literal 16 binary64)) (/.f64 #s(literal 4 binary64) i)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 i #s(literal 16 binary64)) (/.f64 #s(literal 4 binary64) i)))))
(*.f64 (+.f64 (*.f64 (*.f64 i (*.f64 i i)) #s(literal 4096 binary64)) (/.f64 #s(literal -64 binary64) (*.f64 i (*.f64 i i)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 i i) #s(literal 256 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i #s(literal -64 binary64))) i))))
(*.f64 (+.f64 (*.f64 (*.f64 i (*.f64 i i)) #s(literal 4096 binary64)) (/.f64 #s(literal -64 binary64) (*.f64 i (*.f64 i i)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 i i) #s(literal 256 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i #s(literal -64 binary64))) i))) #s(literal 1 binary64)))
(*.f64 (+.f64 (*.f64 (*.f64 i i) #s(literal 256 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i #s(literal -64 binary64))) i)) (/.f64 (+.f64 (*.f64 i #s(literal 16 binary64)) (/.f64 #s(literal -4 binary64) i)) (+.f64 (*.f64 (*.f64 i i) #s(literal 256 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i #s(literal -64 binary64))) i))))
(*.f64 (+.f64 (*.f64 (*.f64 i i) #s(literal 256 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i #s(literal -64 binary64))) i)) (*.f64 (+.f64 (*.f64 i #s(literal 16 binary64)) (/.f64 #s(literal -4 binary64) i)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 i i) #s(literal 256 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i #s(literal -64 binary64))) i)))))
(*.f64 #s(literal 1 binary64) (+.f64 (*.f64 i #s(literal 16 binary64)) (/.f64 #s(literal -4 binary64) i)))
(*.f64 (+.f64 (*.f64 (*.f64 i i) #s(literal 256 binary64)) (/.f64 #s(literal -16 binary64) (*.f64 i i))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 i #s(literal 16 binary64)) (/.f64 #s(literal 4 binary64) i))))
(*.f64 (+.f64 (*.f64 (*.f64 i i) #s(literal 256 binary64)) (/.f64 #s(literal -16 binary64) (*.f64 i i))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 i #s(literal 16 binary64)) (/.f64 #s(literal 4 binary64) i))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) i) (*.f64 i #s(literal -16 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 i (*.f64 i i)) #s(literal 4096 binary64)) (/.f64 #s(literal -64 binary64) (*.f64 i (*.f64 i i))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 i i) #s(literal 256 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i #s(literal -64 binary64))) i)))))
(*.f64 (+.f64 (neg.f64 (*.f64 (*.f64 i i) #s(literal 256 binary64))) (/.f64 #s(literal 16 binary64) (*.f64 i i))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 i #s(literal -16 binary64)) (/.f64 #s(literal -4 binary64) i))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 i i) #s(literal 256 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i #s(literal -64 binary64))) i))) (+.f64 (*.f64 (*.f64 i (*.f64 i i)) #s(literal 4096 binary64)) (/.f64 #s(literal -64 binary64) (*.f64 i (*.f64 i i)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 i #s(literal 16 binary64)) (/.f64 #s(literal 4 binary64) i))) (+.f64 (*.f64 (*.f64 i i) #s(literal 256 binary64)) (/.f64 #s(literal -16 binary64) (*.f64 i i))))
(*.f64 (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 i i)) (*.f64 #s(literal -256 binary64) (*.f64 i i))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) i) (*.f64 i #s(literal -16 binary64)))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 i i) #s(literal 256 binary64)) (/.f64 #s(literal -16 binary64) (*.f64 i i))) (+.f64 (*.f64 (*.f64 i i) #s(literal 256 binary64)) (/.f64 #s(literal -16 binary64) (*.f64 i i)))) (+.f64 (*.f64 i #s(literal 16 binary64)) (/.f64 #s(literal -4 binary64) i)))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 i (*.f64 i i)) #s(literal 4096 binary64)) (/.f64 #s(literal -64 binary64) (*.f64 i (*.f64 i i)))) (+.f64 (*.f64 #s(literal 16777216 binary64) (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i)))) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i #s(literal -64 binary64))) i) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i #s(literal -64 binary64))) i) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i #s(literal -64 binary64))) i))))) (+.f64 (*.f64 (*.f64 (*.f64 i i) (*.f64 i i)) #s(literal 65536 binary64)) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i #s(literal -64 binary64))) i) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i #s(literal -64 binary64))) i) (*.f64 (*.f64 i i) #s(literal 256 binary64))))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 i (*.f64 i i)) #s(literal 4096 binary64)) (/.f64 #s(literal -64 binary64) (*.f64 i (*.f64 i i)))) (-.f64 (*.f64 (*.f64 (*.f64 i i) (*.f64 i i)) #s(literal 65536 binary64)) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i #s(literal -64 binary64))) i) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i #s(literal -64 binary64))) i)))) (-.f64 (*.f64 (*.f64 i i) #s(literal 256 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) i) (*.f64 i #s(literal -64 binary64))) i)))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 i i) #s(literal 256 binary64)) (/.f64 #s(literal -16 binary64) (*.f64 i i))) (-.f64 (*.f64 (*.f64 i (*.f64 i i)) #s(literal 4096 binary64)) (/.f64 #s(literal -64 binary64) (*.f64 i (*.f64 i i))))) (+.f64 (*.f64 (*.f64 i i) #s(literal 256 binary64)) (*.f64 (/.f64 #s(literal -4 binary64) i) (+.f64 (*.f64 i #s(literal 16 binary64)) (/.f64 #s(literal -4 binary64) i)))))
(*.f64 i #s(literal 16 binary64))
(*.f64 #s(literal 16 binary64) i)
(*.f64 (*.f64 i #s(literal 16 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 i #s(literal 16 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 i #s(literal -4 binary64))) #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 -4 binary64) i)
(/.f64 #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) i))
(/.f64 #s(literal 1 binary64) (/.f64 i #s(literal -4 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) i) #s(literal -1/4 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 i #s(literal 4 binary64)))
(pow.f64 (/.f64 i #s(literal -4 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) i))
(*.f64 (/.f64 #s(literal -4 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 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) i))
(*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal -4 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) i))
(*.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)))

simplify208.0ms (2.6%)

Algorithm
egg-herbie
Rules
2074×*-lowering-*.f32
2074×*-lowering-*.f64
1838×+-lowering-+.f64
1838×+-lowering-+.f32
1470×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
066411
1152400
2341400
3819378
41851378
53893378
08190378
Stop Event
iter limit
node limit
Counts
84 → 84
Calls
Call 1
Inputs
(* -1/8 i)
(* -1/8 i)
(* -1/8 i)
(* -1/8 i)
(* -1/8 i)
(* -1/8 i)
(* -1/8 i)
(* -1/8 i)
(* -1/8 i)
(* -1/8 i)
(* -1/8 i)
(* -1/8 i)
(/ 1/32 i)
(/ (+ 1/32 (* 1/16 i)) i)
(/ (+ 1/32 (* 1/16 i)) i)
(/ (+ 1/32 (* 1/16 i)) i)
1/16
(+ 1/16 (* 1/32 (/ 1 i)))
(+ 1/16 (* 1/32 (/ 1 i)))
(+ 1/16 (* 1/32 (/ 1 i)))
1/16
(+ 1/16 (* 1/32 (/ 1 i)))
(+ 1/16 (* 1/32 (/ 1 i)))
(+ 1/16 (* 1/32 (/ 1 i)))
(/ 1/32 i)
(/ 1/32 i)
(/ 1/32 i)
(/ 1/32 i)
(/ 1/32 i)
(/ 1/32 i)
(/ 1/32 i)
(/ 1/32 i)
(/ 1/32 i)
(/ 1/32 i)
(/ 1/32 i)
(/ 1/32 i)
(* -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 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)))
(* 16 i)
(* 16 i)
(* 16 i)
(* 16 i)
(* 16 i)
(* 16 i)
(* 16 i)
(* 16 i)
(* 16 i)
(* 16 i)
(* 16 i)
(* 16 i)
(/ -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
(* -1/8 i)
(*.f64 #s(literal -1/8 binary64) i)
(* -1/8 i)
(*.f64 #s(literal -1/8 binary64) i)
(* -1/8 i)
(*.f64 #s(literal -1/8 binary64) i)
(* -1/8 i)
(*.f64 #s(literal -1/8 binary64) i)
(* -1/8 i)
(*.f64 #s(literal -1/8 binary64) i)
(* -1/8 i)
(*.f64 #s(literal -1/8 binary64) i)
(* -1/8 i)
(*.f64 #s(literal -1/8 binary64) i)
(* -1/8 i)
(*.f64 #s(literal -1/8 binary64) i)
(* -1/8 i)
(*.f64 #s(literal -1/8 binary64) i)
(* -1/8 i)
(*.f64 #s(literal -1/8 binary64) i)
(* -1/8 i)
(*.f64 #s(literal -1/8 binary64) i)
(* -1/8 i)
(*.f64 #s(literal -1/8 binary64) i)
(/ 1/32 i)
(/.f64 #s(literal 1/32 binary64) i)
(/ (+ 1/32 (* 1/16 i)) i)
(/.f64 (+.f64 #s(literal 1/32 binary64) (*.f64 i #s(literal 1/16 binary64))) i)
(/ (+ 1/32 (* 1/16 i)) i)
(/.f64 (+.f64 #s(literal 1/32 binary64) (*.f64 i #s(literal 1/16 binary64))) i)
(/ (+ 1/32 (* 1/16 i)) i)
(/.f64 (+.f64 #s(literal 1/32 binary64) (*.f64 i #s(literal 1/16 binary64))) i)
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/32 (/ 1 i)))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/32 binary64) i))
(+ 1/16 (* 1/32 (/ 1 i)))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/32 binary64) i))
(+ 1/16 (* 1/32 (/ 1 i)))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/32 binary64) i))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/32 (/ 1 i)))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/32 binary64) i))
(+ 1/16 (* 1/32 (/ 1 i)))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/32 binary64) i))
(+ 1/16 (* 1/32 (/ 1 i)))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/32 binary64) i))
(/ 1/32 i)
(/.f64 #s(literal 1/32 binary64) i)
(/ 1/32 i)
(/.f64 #s(literal 1/32 binary64) i)
(/ 1/32 i)
(/.f64 #s(literal 1/32 binary64) i)
(/ 1/32 i)
(/.f64 #s(literal 1/32 binary64) i)
(/ 1/32 i)
(/.f64 #s(literal 1/32 binary64) i)
(/ 1/32 i)
(/.f64 #s(literal 1/32 binary64) i)
(/ 1/32 i)
(/.f64 #s(literal 1/32 binary64) i)
(/ 1/32 i)
(/.f64 #s(literal 1/32 binary64) i)
(/ 1/32 i)
(/.f64 #s(literal 1/32 binary64) i)
(/ 1/32 i)
(/.f64 #s(literal 1/32 binary64) i)
(/ 1/32 i)
(/.f64 #s(literal 1/32 binary64) i)
(/ 1/32 i)
(/.f64 #s(literal 1/32 binary64) i)
(* -1/4 (pow i 2))
(*.f64 i (*.f64 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 (*.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 (*.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 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) (/.f64 (/.f64 #s(literal 1/256 binary64) (*.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 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) (/.f64 (/.f64 #s(literal 1/256 binary64) (*.f64 i i)) (*.f64 i i))) (/.f64 #s(literal 1/1024 binary64) (*.f64 (*.f64 i 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 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) (/.f64 (/.f64 #s(literal 1/256 binary64) (*.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 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) (/.f64 (/.f64 #s(literal 1/256 binary64) (*.f64 i i)) (*.f64 i i))) (/.f64 #s(literal 1/1024 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.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))
(* 16 i)
(*.f64 i #s(literal 16 binary64))
(* 16 i)
(*.f64 i #s(literal 16 binary64))
(* 16 i)
(*.f64 i #s(literal 16 binary64))
(* 16 i)
(*.f64 i #s(literal 16 binary64))
(* 16 i)
(*.f64 i #s(literal 16 binary64))
(* 16 i)
(*.f64 i #s(literal 16 binary64))
(* 16 i)
(*.f64 i #s(literal 16 binary64))
(* 16 i)
(*.f64 i #s(literal 16 binary64))
(* 16 i)
(*.f64 i #s(literal 16 binary64))
(* 16 i)
(*.f64 i #s(literal 16 binary64))
(* 16 i)
(*.f64 i #s(literal 16 binary64))
(* 16 i)
(*.f64 i #s(literal 16 binary64))
(/ -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)

eval76.0ms (1%)

Compiler

Compiled 5979 to 692 computations (88.4% saved)

prune34.0ms (0.4%)

Pruning

11 alts after pruning (1 fresh and 10 done)

PrunedKeptTotal
New3081309
Fresh000
Picked033
Done077
Total30811319
Accuracy
100.0%
Counts
319 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.6%
(/.f64 (/.f64 (*.f64 (/.f64 i #s(literal 4 binary64)) i) (+.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 (*.f64 i #s(literal 2 binary64)) #s(literal -1 binary64)))
49.0%
(/.f64 (+.f64 #s(literal 1/32 binary64) (*.f64 i #s(literal 1/16 binary64))) i)
74.5%
(/.f64 i (/.f64 (+.f64 (*.f64 i (*.f64 i #s(literal 16 binary64))) #s(literal -4 binary64)) i))
50.6%
(/.f64 i (/.f64 #s(literal -4 binary64) i))
99.9%
(/.f64 i (+.f64 (*.f64 i #s(literal 16 binary64)) (/.f64 #s(literal -4 binary64) i)))
49.0%
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/32 binary64) i))
49.7%
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
51.0%
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 i i))
50.7%
(*.f64 i (/.f64 i #s(literal -4 binary64)))
4.1%
(*.f64 i #s(literal -1/8 binary64))
49.8%
#s(literal 1/16 binary64)
Compiler

Compiled 224 to 118 computations (47.3% saved)

regimes10.0ms (0.1%)

Counts
15 → 1
Calls
Call 1
Inputs
#s(literal 1/16 binary64)
(*.f64 i #s(literal -1/8 binary64))
(*.f64 i (/.f64 i #s(literal -4 binary64)))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/32 binary64) i))
(/.f64 i (/.f64 #s(literal -4 binary64) i))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(/.f64 (+.f64 #s(literal 1/32 binary64) (*.f64 i #s(literal 1/16 binary64))) i)
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 i i))
(/.f64 i (+.f64 (*.f64 i #s(literal 16 binary64)) (/.f64 #s(literal -4 binary64) i)))
(/.f64 (*.f64 i #s(literal 1/8 binary64)) (+.f64 (*.f64 i #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 i (/.f64 i (+.f64 (*.f64 (*.f64 i 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 (*.f64 (/.f64 i #s(literal 4 binary64)) i) (+.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 (*.f64 i #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.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 i (+.f64 (*.f64 i #s(literal 16 binary64)) (/.f64 #s(literal -4 binary64) i)))
Calls

2 calls:

5.0ms
i
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)))
Results
AccuracySegmentsBranch
99.9%1i
99.9%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)

regimes5.0ms (0.1%)

Counts
9 → 2
Calls
Call 1
Inputs
#s(literal 1/16 binary64)
(*.f64 i #s(literal -1/8 binary64))
(*.f64 i (/.f64 i #s(literal -4 binary64)))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/32 binary64) i))
(/.f64 i (/.f64 #s(literal -4 binary64) i))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(/.f64 (+.f64 #s(literal 1/32 binary64) (*.f64 i #s(literal 1/16 binary64))) i)
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 i i))
Outputs
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 i i))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
Calls

1 calls:

4.0ms
i
Results
AccuracySegmentsBranch
99.5%2i
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts
8 → 2
Calls
Call 1
Inputs
#s(literal 1/16 binary64)
(*.f64 i #s(literal -1/8 binary64))
(*.f64 i (/.f64 i #s(literal -4 binary64)))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/32 binary64) i))
(/.f64 i (/.f64 #s(literal -4 binary64) i))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(/.f64 (+.f64 #s(literal 1/32 binary64) (*.f64 i #s(literal 1/16 binary64))) 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:

3.0ms
i
Results
AccuracySegmentsBranch
99.5%2i
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts
7 → 2
Calls
Call 1
Inputs
#s(literal 1/16 binary64)
(*.f64 i #s(literal -1/8 binary64))
(*.f64 i (/.f64 i #s(literal -4 binary64)))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/32 binary64) i))
(/.f64 i (/.f64 #s(literal -4 binary64) i))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(/.f64 (+.f64 #s(literal 1/32 binary64) (*.f64 i #s(literal 1/16 binary64))) 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:

3.0ms
i
Results
AccuracySegmentsBranch
99.2%2i
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts
5 → 2
Calls
Call 1
Inputs
#s(literal 1/16 binary64)
(*.f64 i #s(literal -1/8 binary64))
(*.f64 i (/.f64 i #s(literal -4 binary64)))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/32 binary64) i))
(/.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:

2.0ms
i
Results
AccuracySegmentsBranch
98.8%2i
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts
2 → 2
Calls
Call 1
Inputs
#s(literal 1/16 binary64)
(*.f64 i #s(literal -1/8 binary64))
Outputs
(*.f64 i #s(literal -1/8 binary64))
#s(literal 1/16 binary64)
Calls

1 calls:

1.0ms
i
Results
AccuracySegmentsBranch
52.1%2i
Compiler

Compiled 2 to 1 computations (50% saved)

regimes273.0ms (3.4%)

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:

272.0ms
i
Results
AccuracySegmentsBranch
49.8%1i
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch13.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
0.01152944736213768
0.5214362934087328
Results
8.0ms112×0valid
Compiler

Compiled 170 to 104 computations (38.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (55.9% of total)
ival-sub: 1.0ms (18.6% of total)
ival-div: 1.0ms (18.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch19.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
18.0ms
0.01152944736213768
0.5214362934087328
Results
14.0ms112×0valid
Compiler

Compiled 170 to 111 computations (34.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 7.0ms (64.6% of total)
ival-mult: 3.0ms (27.7% of total)
ival-sub: 1.0ms (9.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch24.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
22.0ms
0.01152944736213768
0.5214362934087328
Results
8.0ms112×0valid
Compiler

Compiled 142 to 97 computations (31.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (52.6% of total)
ival-sub: 1.0ms (17.5% of total)
ival-div: 1.0ms (17.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch13.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
0.01152944736213768
0.5214362934087328
Results
8.0ms112×0valid
Compiler

Compiled 100 to 69 computations (31% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (56% of total)
ival-sub: 1.0ms (18.7% of total)
ival-div: 1.0ms (18.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch15.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
0.01152944736213768
0.5214362934087328
Results
10.0ms112×0valid
Compiler

Compiled 86 to 62 computations (27.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (52.3% of total)
ival-sub: 1.0ms (17.4% of total)
ival-div: 1.0ms (17.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify11.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02884
14184
24984
35384
45584
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 i (+.f64 (*.f64 i #s(literal 16 binary64)) (/.f64 #s(literal -4 binary64) i)))
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.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 (-.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))
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 i #s(literal -1/8 binary64)) #s(literal 1/16 binary64))
#s(literal 1/16 binary64)
Outputs
(/.f64 i (+.f64 (*.f64 i #s(literal 16 binary64)) (/.f64 #s(literal -4 binary64) i)))
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.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 (*.f64 i 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 (-.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))
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 i #s(literal -1/8 binary64)) #s(literal 1/16 binary64))
#s(literal 1/16 binary64)

soundness1.8s (23%)

Rules
5958×*-lowering-*.f32
5958×*-lowering-*.f64
4938×*-lowering-*.f32
4938×*-lowering-*.f64
4808×*-lowering-*.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
077748
1193727
2496724
31328710
43546710
08283710
0118910
1346833
2972831
33231819
08548819
0115883
1308833
2784814
32206806
45477806
08151806
01676
110368
291260
0882160
02480
113377
2100573
0892273
01021
14018
219312
3108612
4376011
5581211
0825211
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 196 to 109 computations (44.4% saved)

preprocess156.0ms (2%)

Remove

(abs i)

Compiler

Compiled 242 to 90 computations (62.8% saved)

end0.0ms (0%)

Profiling

Loading profile data...