Octave 3.8, jcobi/4, as called

Time bar (total: 4.9s)

analyze4.0ms (0.1%)

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

Compiled 29 to 12 computations (58.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-mult: 1.0ms (50.9% 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)

sample1.0s (21.4%)

Results
797.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 527.0ms
ival-mult: 300.0ms (56.9% of total)
ival-div: 104.0ms (19.7% of total)
ival-sub: 59.0ms (11.2% of total)
ival->: 45.0ms (8.5% of total)
const: 16.0ms (3% of total)
backward-pass: 3.0ms (0.6% of total)
Bogosity

preprocess266.0ms (5.5%)

Algorithm
2×egg-herbie
Rules
4808×*-lowering-*.f32
4808×*-lowering-*.f64
3132×/-lowering-/.f32
3132×/-lowering-/.f64
1670×associate-/r/
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01946
19440
259330
3447330
01015
14313
219710
3109110
437059
557769
082169
Stop Event
1×iter limit
1×node limit
1×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 (*.f64 i 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))
(* (square i) (/ 1/4 (fnmsub (square i) -4 1)))
(/ (/ (* (* (neg i) (neg i)) (* (neg i) (neg i))) (* (* 2 (neg i)) (* 2 (neg i)))) (- (* (* 2 (neg i)) (* 2 (neg i))) 1))
(* (square i) (/ 1/4 (fnmsub (square 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)))
(* (square i) (/ 1/4 (fnmsub (square i) 4 -1)))
Symmetry

(abs i)

explain142.0ms (2.9%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1950-1(1.6809131642781945e-81)(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
740-0-(/.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
97.0ms512×0valid
Compiler

Compiled 174 to 32 computations (81.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-div: 40.0ms (68.4% of total)
ival-mult: 15.0ms (25.6% of total)
ival-sub: 3.0ms (5.1% of total)
const: 1.0ms (1.7% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 12 to 7 computations (41.7% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶71.1%
(/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)))
Compiler

Compiled 12 to 7 computations (41.7% saved)

simplify5.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓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 i)
✓cost-diff0
(/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)))
Rules
18×*-lowering-*.f32
18×*-lowering-*.f64
8×*-commutative
8×fma-lowering-fma.f32
8×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0722
11522
22122
32222
02222
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ (* i i) (+ (* (* i i) 16) -4))
(* i i)
i
(+ (* (* i i) 16) -4)
(* (* i i) 16)
16
-4
Outputs
(/ (* i i) (+ (* (* i i) 16) -4))
(/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)))
(* i i)
(*.f64 i i)
i
(+ (* (* i i) 16) -4)
(+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64))
(* (* i i) 16)
(*.f64 (*.f64 i i) #s(literal 16 binary64))
16
#s(literal 16 binary64)
-4
#s(literal -4 binary64)

localize33.0ms (0.7%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64))
✓accuracy100.0%
(*.f64 i i)
✓accuracy99.9%
(*.f64 (*.f64 i i) #s(literal 16 binary64))
✓accuracy72.0%
(/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)))
Results
24.0ms256×0valid
Compiler

Compiled 31 to 8 computations (74.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 4.0ms (50.2% of total)
ival-div: 2.0ms (25.1% of total)
ival-add: 1.0ms (12.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series3.0ms (0.1%)

Counts
4 → 48
Calls
Call 1
Inputs
#<alt (/ (* i i) (+ (* (* i i) 16) -4))>
#<alt (* i i)>
#<alt (+ (* (* i i) 16) -4)>
#<alt (* (* i i) 16)>
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 (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 -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))>
Calls

12 calls:

TimeVariablePointExpression
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)
0.0ms
i
@inf
(* i i)
0.0ms
i
@0
(* i i)

rewrite397.0ms (8.1%)

Algorithm
1×batch-egg-rewrite
Rules
3326×/-lowering-/.f32
3326×/-lowering-/.f64
3164×*-lowering-*.f32
3164×*-lowering-*.f64
2290×fma-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0719
13919
225719
3243919
0881519
Stop Event
1×iter limit
1×node limit
Counts
4 → 332
Calls
Call 1
Inputs
(/ (* i i) (+ (* (* i i) 16) -4))
(* i i)
(+ (* (* i i) 16) -4)
(* (* i i) 16)
Outputs
(+.f64 (*.f64 (/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64))) (*.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 256 binary64)))) (*.f64 (/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i (*.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 (*.f64 i (*.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 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64))) (*.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 256 binary64)))))
(+.f64 (*.f64 (/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 256 binary64))) #s(literal -16 binary64))) (*.f64 (*.f64 i i) #s(literal 16 binary64))) (*.f64 (/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 256 binary64))) #s(literal -16 binary64))) #s(literal 4 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 256 binary64))) (/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i (*.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 (*.f64 i (*.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 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64)))) (*.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 256 binary64))) (/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64)))))
(+.f64 (*.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) (/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 256 binary64))) #s(literal -16 binary64)))) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 256 binary64))) #s(literal -16 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)) i) i)) #s(literal -1 binary64)))
(exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 i)) (*.f64 (log.f64 (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64))) #s(literal -1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 i))))
(exp.f64 (-.f64 (*.f64 (log.f64 (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64))) #s(literal -1 binary64)) (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 i)))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 i i) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 i i) #s(literal -16 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64))) (/.f64 (*.f64 i i) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 i i) #s(literal -16 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) (+.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 256 binary64))) #s(literal -16 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 i i))) (/.f64 (/.f64 #s(literal -4 binary64) (+.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 256 binary64))) #s(literal -16 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 i i))))
(-.f64 (/.f64 (/.f64 (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 256 binary64)))) (+.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 i i))) (/.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal -64 binary64)) (+.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 i i))))
(fma.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) (/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 256 binary64))) #s(literal -16 binary64))) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 256 binary64))) #s(literal -16 binary64)))))
(fma.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 256 binary64))) (/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i (*.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 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64)))))
(fma.f64 (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) #s(literal 64 binary64))) (/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64))) (*.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 256 binary64))) (/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64)))))
(fma.f64 (/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64))) (*.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 256 binary64))) (*.f64 (/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i (*.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)))))
(fma.f64 (/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i (*.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 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64))) (*.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 256 binary64)))))
(fma.f64 (/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 256 binary64))) #s(literal -16 binary64))) (*.f64 (*.f64 i i) #s(literal 16 binary64)) (*.f64 (/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 256 binary64))) #s(literal -16 binary64))) #s(literal 4 binary64)))
(neg.f64 (/.f64 (*.f64 i i) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 i i) #s(literal -16 binary64)))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 i i) #s(literal -16 binary64))))))
(/.f64 i (/.f64 (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)) i))
(/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 i i) #s(literal -16 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)) i) i))
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 i i) #s(literal -16 binary64))) (*.f64 i i)))
(/.f64 (-.f64 #s(literal 0 binary64) i) (neg.f64 (/.f64 (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)) i)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 i i)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 i i) #s(literal -16 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i))))
(/.f64 (/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) (-.f64 (*.f64 (*.f64 i i) #s(literal 256 binary64)) #s(literal -64 binary64))))))
(/.f64 (/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 256 binary64))) #s(literal -16 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64))))
(/.f64 (*.f64 i (*.f64 i (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) (-.f64 (*.f64 (*.f64 i i) #s(literal 256 binary64)) #s(literal -64 binary64)))))) (+.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64)))
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(*.f64 (+.f64 #s(literal 16 binary64) (*.f64 #s(literal -256 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -4 binary64) (*.f64 (*.f64 i i) #s(literal 16 binary64)))))
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(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64)) (+.f64 (*.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 16777216 binary64))) (*.f64 (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) #s(literal 64 binary64))) (*.f64 (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) #s(literal 64 binary64))) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) #s(literal 64 binary64))))))) (+.f64 (*.f64 #s(literal 65536 binary64) (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) (*.f64 i (*.f64 i (*.f64 i i))))) (*.f64 (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) #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 i) #s(literal 256 binary64)))))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 i (*.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) (-.f64 (*.f64 (*.f64 i i) #s(literal 256 binary64)) #s(literal -64 binary64)))) (-.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 256 binary64))) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) #s(literal 64 binary64)))))) (-.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 256 binary64))) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) #s(literal 64 binary64)))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 256 binary64))) #s(literal -16 binary64)) (+.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 4096 binary64))) #s(literal 64 binary64))) (+.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 256 binary64))) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) #s(literal -64 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) (-.f64 (*.f64 (*.f64 i i) #s(literal 256 binary64)) #s(literal -64 binary64))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) (-.f64 (*.f64 (*.f64 i i) #s(literal 256 binary64)) #s(literal -64 binary64)))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 256 binary64))) #s(literal -16 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 256 binary64))) #s(literal -16 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) (-.f64 (*.f64 (*.f64 i i) #s(literal 256 binary64)) #s(literal -64 binary64)))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 256 binary64))) #s(literal -16 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 i i) #s(literal -16 binary64)) #s(literal -4 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (*.f64 #s(literal -256 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -4 binary64) (*.f64 (*.f64 i i) #s(literal 16 binary64)))))
(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64)) (+.f64 (*.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 16777216 binary64))) #s(literal -4096 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 65536 binary64) (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) (*.f64 i (*.f64 i (*.f64 i i))))) (+.f64 #s(literal 256 binary64) (*.f64 #s(literal 4096 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))))
(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 65536 binary64) (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) (*.f64 i (*.f64 i (*.f64 i i))))) #s(literal -256 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 256 binary64))))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) (-.f64 (*.f64 (*.f64 i i) #s(literal 256 binary64)) #s(literal -64 binary64)))) (+.f64 (*.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 (*.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 68719476736 binary64))) #s(literal -262144 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 16777216 binary64))) (+.f64 #s(literal 4096 binary64) (*.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 262144 binary64))))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) (-.f64 (*.f64 (*.f64 i i) #s(literal 256 binary64)) #s(literal -64 binary64)))) (+.f64 (*.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 16777216 binary64))) #s(literal -4096 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 4096 binary64))) #s(literal 64 binary64))))
(exp.f64 (log.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal 1 binary64)))
(pow.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal 1 binary64))
(*.f64 i (*.f64 i #s(literal 16 binary64)))
(*.f64 i (pow.f64 (*.f64 i #s(literal 16 binary64)) #s(literal 1 binary64)))
(*.f64 i (exp.f64 (log.f64 (*.f64 i #s(literal 16 binary64)))))
(*.f64 (*.f64 i i) #s(literal 16 binary64))
(*.f64 (*.f64 i i) (exp.f64 (log.f64 #s(literal 16 binary64))))
(*.f64 #s(literal 16 binary64) (*.f64 i i))
(*.f64 (*.f64 i #s(literal 16 binary64)) i)
(*.f64 (pow.f64 (*.f64 i #s(literal 16 binary64)) #s(literal 1 binary64)) i)
(*.f64 (exp.f64 (log.f64 (*.f64 i #s(literal 16 binary64)))) i)
(*.f64 (exp.f64 (log.f64 #s(literal 16 binary64))) (*.f64 i i))

simplify197.0ms (4%)

Algorithm
1×egg-herbie
Rules
2386×fma-lowering-fma.f32
2386×fma-lowering-fma.f64
1710×*-lowering-*.f32
1710×*-lowering-*.f64
1692×fmm-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
050291
1116233
2282233
3722233
41731233
53656233
67789233
08370233
Stop Event
1×iter limit
1×node limit
Counts
48 → 48
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))))))
(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)
-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))
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 (*.f64 i i) (-.f64 #s(literal 1 binary64) (*.f64 i (*.f64 i (+.f64 #s(literal -4 binary64) (*.f64 (*.f64 i i) #s(literal -16 binary64)))))))))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))))) (+.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) (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i)))))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.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)
-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))

eval59.0ms (1.2%)

Compiler

Compiled 13223 to 1153 computations (91.3% saved)

prune83.0ms (1.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New4134417
Fresh000
Picked011
Done000
Total4135418
Accuracy
100.0%
Counts
418 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓71.1%
(/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)))
▶49.1%
(/.f64 (*.f64 i i) #s(literal -4 binary64))
▶51.7%
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
▶49.2%
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
▶51.8%
#s(literal 1/16 binary64)
Compiler

Compiled 38 to 25 computations (34.2% saved)

simplify107.0ms (2.2%)

Algorithm
1×egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 i i)
✓cost-diff0
(/.f64 (*.f64 i i) #s(literal -4 binary64))
✓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 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))))
Rules
1226×sum3-define
1072×sum5-define
990×fma-define
980×fnmadd-define
808×fmsub-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01245
12645
24845
310345
417645
527045
640645
765845
8236645
9275745
10320345
11359545
12363945
13376645
14405045
15427245
16439245
17446645
18451645
19454045
0454045
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
1/16
(* i (* i (- -1/4 (* i i))))
i
(* i (- -1/4 (* i i)))
(- -1/4 (* i i))
-1/4
(* i i)
(+ 1/16 (/ 1/64 (* i i)))
1/16
(/ 1/64 (* i i))
1/64
(* i i)
i
(/ (* i i) -4)
(* i i)
i
-4
Outputs
1/16
#s(literal 1/16 binary64)
(* 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)
(+ 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) -4)
(/.f64 (*.f64 i i) #s(literal -4 binary64))
(* i i)
(*.f64 i i)
i
-4
#s(literal -4 binary64)

localize76.0ms (1.6%)

Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 (*.f64 i i) #s(literal -4 binary64))
✓accuracy100.0%
(*.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)
✓accuracy99.7%
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
✓accuracy100.0%
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
✓accuracy100.0%
(*.f64 i i)
✓accuracy100.0%
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
✓accuracy99.9%
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
Results
48.0ms256×0valid
Compiler

Compiled 57 to 13 computations (77.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 7.0ms (51.7% of total)
ival-div: 4.0ms (29.6% of total)
ival-sub: 1.0ms (7.4% of total)
ival-add: 1.0ms (7.4% of total)
const: 1.0ms (7.4% of total)
backward-pass: 0.0ms (0% of total)

series4.0ms (0.1%)

Counts
7 → 84
Calls
Call 1
Inputs
#<alt (* i (* i (- -1/4 (* i i))))>
#<alt (* i (- -1/4 (* i i)))>
#<alt (- -1/4 (* i i))>
#<alt (* i i)>
#<alt (+ 1/16 (/ 1/64 (* i i)))>
#<alt (/ 1/64 (* i i))>
#<alt (/ (* i i) -4)>
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 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 (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 (/ 1/64 (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 (* -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))>
Calls

21 calls:

TimeVariablePointExpression
0.0ms
i
@-inf
(+ 1/16 (/ 1/64 (* i i)))
0.0ms
i
@inf
(* i (* i (- -1/4 (* i i))))
0.0ms
i
@0
(/ 1/64 (* i i))
0.0ms
i
@0
(* i (* i (- -1/4 (* i i))))
0.0ms
i
@inf
(/ (* i i) -4)

rewrite306.0ms (6.3%)

Algorithm
1×batch-egg-rewrite
Rules
2550×*-lowering-*.f32
2550×*-lowering-*.f64
2282×/-lowering-/.f32
2282×/-lowering-/.f64
1830×fma-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01233
17033
249333
3517033
0835433
Stop Event
1×iter limit
1×node limit
Counts
7 → 272
Calls
Call 1
Inputs
(* i (* i (- -1/4 (* i i))))
(* i (- -1/4 (* i i)))
(- -1/4 (* i i))
(* i i)
(+ 1/16 (/ 1/64 (* i i)))
(/ 1/64 (* i i))
(/ (* i i) -4)
Outputs
(+.f64 (/.f64 i (/.f64 #s(literal -4 binary64) i)) (-.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 i (/.f64 #s(literal -4 binary64) i)))
(-.f64 (/.f64 i (/.f64 #s(literal -4 binary64) i)) (*.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 #s(literal -1/4 binary64) (*.f64 i i) (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))
(fma.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) #s(literal -1 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) (*.f64 i i)) #s(literal 1/4 binary64) (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))
(fma.f64 (/.f64 i (/.f64 #s(literal -4 binary64) i)) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))
(fma.f64 #s(literal 1 binary64) (/.f64 i (/.f64 #s(literal -4 binary64) i)) (-.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 (-.f64 #s(literal 0 binary64) i) (*.f64 i #s(literal 1/4 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 #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 #s(literal 1/4 binary64) (-.f64 #s(literal 0 binary64) (*.f64 i i)) (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))
(fma.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.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 1 binary64) i) (/.f64 i #s(literal -4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))
(fma.f64 (pow.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal -1/2 binary64)) (-.f64 #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 (*.f64 i i)) (*.f64 i (*.f64 i i)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 i (*.f64 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 (*.f64 i 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 i (*.f64 i (-.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (+.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 (*.f64 i i)) (*.f64 i (*.f64 i i)))))) (+.f64 #s(literal -1/16 binary64) (neg.f64 (*.f64 i (*.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i i)))))))
(/.f64 (neg.f64 (*.f64 i (*.f64 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 (*.f64 i 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 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (-.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 i (/.f64 #s(literal -4 binary64) i)) (-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (*.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 i (*.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i i)))))
(/.f64 (*.f64 (*.f64 i i) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i)))))) (+.f64 #s(literal -1/16 binary64) (neg.f64 (*.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 (*.f64 i i)) (*.f64 i (*.f64 i i))))) (*.f64 i i)) (+.f64 #s(literal -1/16 binary64) (neg.f64 (*.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 (*.f64 (*.f64 i (-.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i 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 (-.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) i) (+.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(*.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 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) i)
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) (+.f64 #s(literal 1/4 binary64) (*.f64 i i)))
(*.f64 (-.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 i (*.f64 i 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 1/16 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 (*.f64 i i) (-.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 i (*.f64 i 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 i (*.f64 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 (*.f64 i 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 (*.f64 i 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 i (*.f64 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 i (*.f64 i (-.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (+.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 i (*.f64 i 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 (/.f64 i #s(literal -4 binary64)) (*.f64 i (-.f64 #s(literal 0 binary64) (*.f64 i i))))
(+.f64 (*.f64 i (-.f64 #s(literal 0 binary64) (*.f64 i i))) (/.f64 i #s(literal -4 binary64)))
(-.f64 (/.f64 i #s(literal -4 binary64)) (*.f64 i (*.f64 i i)))
(fma.f64 i #s(literal -1/4 binary64) (*.f64 i (-.f64 #s(literal 0 binary64) (*.f64 i i))))
(fma.f64 #s(literal -1/4 binary64) i (*.f64 i (-.f64 #s(literal 0 binary64) (*.f64 i i))))
(/.f64 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 i (-.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 i (-.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))))
(/.f64 (*.f64 i (-.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 i (*.f64 i 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 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 #s(literal 1 binary64) i) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(/.f64 (neg.f64 (*.f64 i (-.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i)))))) (+.f64 #s(literal -1/16 binary64) (neg.f64 (*.f64 i (*.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i i)))))))
(/.f64 (neg.f64 (*.f64 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 (pow.f64 (/.f64 i #s(literal -4 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 i (-.f64 #s(literal 0 binary64) (*.f64 i i))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 i #s(literal -4 binary64)) (/.f64 i #s(literal -4 binary64))) (-.f64 (*.f64 (*.f64 i (-.f64 #s(literal 0 binary64) (*.f64 i i))) (*.f64 i (-.f64 #s(literal 0 binary64) (*.f64 i i)))) (*.f64 (/.f64 i #s(literal -4 binary64)) (*.f64 i (-.f64 #s(literal 0 binary64) (*.f64 i i)))))))
(/.f64 (-.f64 (*.f64 (/.f64 i #s(literal -4 binary64)) (/.f64 i #s(literal -4 binary64))) (*.f64 (*.f64 i (-.f64 #s(literal 0 binary64) (*.f64 i i))) (*.f64 i (-.f64 #s(literal 0 binary64) (*.f64 i i))))) (-.f64 (/.f64 i #s(literal -4 binary64)) (*.f64 i (-.f64 #s(literal 0 binary64) (*.f64 i i)))))
(/.f64 (*.f64 i #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(/.f64 (*.f64 i (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i)))))) (+.f64 #s(literal -1/16 binary64) (neg.f64 (*.f64 i (*.f64 i (+.f64 #s(literal -1/4 binary64) (*.f64 i i)))))))
(/.f64 (*.f64 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 (*.f64 i i)) (*.f64 i (*.f64 i i))))) i) (+.f64 #s(literal -1/16 binary64) (neg.f64 (*.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)))) i) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) #s(literal 1/4 binary64)))
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i)
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(/.f64 (*.f64 (-.f64 #s(literal 1/16777216 binary64) (/.f64 #s(literal 1/68719476736 binary64) (*.f64 (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i))) (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/64 binary64) (*.f64 i i))))) (+.f64 #s(literal 1/65536 binary64) (*.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (+.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/4096 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/65536 binary64) (/.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) #s(literal 4096 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/64 binary64) (*.f64 i i))))) (+.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/4096 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/64 binary64) (*.f64 i i)))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/262144 binary64) (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/256 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 i i)) #s(literal 1/1024 binary64)) (*.f64 i i)))))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/64 binary64) (*.f64 i i))))
(*.f64 (-.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/4096 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/64 binary64) (*.f64 i i)))))
(*.f64 (+.f64 #s(literal -1/4096 binary64) (neg.f64 (/.f64 #s(literal 1/262144 binary64) (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i)))))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 i i)) #s(literal 1/1024 binary64)) (*.f64 i i))) #s(literal -1/256 binary64))))
(*.f64 (+.f64 #s(literal -1/256 binary64) (/.f64 #s(literal 1/4096 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/256 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 i i)) #s(literal 1/1024 binary64)) (*.f64 i i)))) (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/262144 binary64) (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/64 binary64) (*.f64 i i)))) (-.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/4096 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))
(*.f64 (+.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal -1/256 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/4096 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) (-.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/4096 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/64 binary64) (*.f64 i i))))
(*.f64 (/.f64 (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/262144 binary64) (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i))))) (+.f64 #s(literal 1/16777216 binary64) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 i i)) #s(literal 1/1024 binary64)) (*.f64 i i)) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 i i)) #s(literal 1/1024 binary64)) (*.f64 i i)) (/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 i i)) #s(literal 1/1024 binary64)) (*.f64 i i)))))) (+.f64 #s(literal 1/65536 binary64) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 i i)) #s(literal 1/1024 binary64)) (*.f64 i i)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 i i)) #s(literal 1/1024 binary64)) (*.f64 i i)) #s(literal 1/256 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/262144 binary64) (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i))))) (-.f64 #s(literal 1/65536 binary64) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 i i)) #s(literal 1/1024 binary64)) (*.f64 i i)) (/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 i i)) #s(literal 1/1024 binary64)) (*.f64 i i))))) (-.f64 #s(literal 1/256 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (*.f64 i i)) #s(literal 1/1024 binary64)) (*.f64 i i))))
(*.f64 (/.f64 (-.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/4096 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) (-.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/262144 binary64) (*.f64 (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i i)))))) (+.f64 #s(literal 1/256 binary64) (*.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/64 binary64) (*.f64 i i))))))
(exp.f64 (*.f64 (log.f64 (/.f64 i (/.f64 #s(literal 1/64 binary64) i))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/64 binary64) (*.f64 i i)))
(neg.f64 (/.f64 #s(literal -1/64 binary64) (*.f64 i i)))
(neg.f64 (*.f64 (/.f64 #s(literal -1/64 binary64) (*.f64 i i)) #s(literal 1 binary64)))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/.f64 #s(literal -1/64 binary64) (-.f64 #s(literal 0 binary64) (*.f64 i i)))
(/.f64 #s(literal 1 binary64) (/.f64 i (/.f64 #s(literal 1/64 binary64) i)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) #s(literal 64 binary64))
(/.f64 (/.f64 #s(literal 1/64 binary64) i) i)
(/.f64 (/.f64 #s(literal 1/64 binary64) i) (neg.f64 (-.f64 #s(literal 0 binary64) i)))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 i i) #s(literal -1/64 binary64)))
(/.f64 (/.f64 #s(literal -1/64 binary64) i) (-.f64 #s(literal 0 binary64) i))
(/.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 i #s(literal 1/64 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/64 binary64) i)) (-.f64 #s(literal 0 binary64) i))
(/.f64 (*.f64 (/.f64 #s(literal -1/64 binary64) i) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) i))
(/.f64 (/.f64 (/.f64 #s(literal -1/64 binary64) i) #s(literal -1 binary64)) i)
(pow.f64 (/.f64 i (/.f64 #s(literal 1/64 binary64) i)) #s(literal -1 binary64))
(*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i)))
(*.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1 binary64))
(*.f64 #s(literal -1/64 binary64) (/.f64 #s(literal -1 binary64) (*.f64 i i)))
(*.f64 #s(literal -1/64 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 i i)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) #s(literal 1/64 binary64))
(*.f64 (/.f64 #s(literal 1/64 binary64) i) (/.f64 #s(literal 1 binary64) i))
(*.f64 (/.f64 #s(literal 1/64 binary64) i) (*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/64 binary64) (*.f64 i i)))
(*.f64 (/.f64 #s(literal -1/64 binary64) i) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) i)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 i i)) #s(literal -1/64 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 #s(literal 1/64 binary64) i))
(*.f64 (pow.f64 (/.f64 i (/.f64 #s(literal 1/64 binary64) i)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 i (/.f64 #s(literal 1/64 binary64) i)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 i i) #s(literal 4 binary64)))
(neg.f64 (/.f64 (*.f64 i i) #s(literal 4 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) #s(literal 4 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))))
(/.f64 i (/.f64 #s(literal -4 binary64) i))
(/.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i)))
(/.f64 (*.f64 i i) #s(literal -4 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 i i))) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) i) (/.f64 #s(literal -4 binary64) i))
(/.f64 (*.f64 i #s(literal 1 binary64)) (/.f64 #s(literal -4 binary64) i))
(pow.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal -1 binary64))
(*.f64 i (/.f64 i #s(literal -4 binary64)))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) #s(literal -1 binary64)))
(*.f64 (*.f64 i i) #s(literal -1/4 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) #s(literal 1/4 binary64))
(*.f64 (/.f64 i (/.f64 #s(literal -4 binary64) i)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 i (/.f64 #s(literal -4 binary64) i)))
(*.f64 (-.f64 #s(literal 0 binary64) i) (/.f64 i #s(literal 4 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) i) (*.f64 i #s(literal 1/4 binary64)))
(*.f64 (/.f64 i #s(literal -4 binary64)) i)
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 i i) #s(literal 4 binary64)))
(*.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 0 binary64) (*.f64 i i)))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 i i))) #s(literal 1/4 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) i) (/.f64 i #s(literal -4 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal -1/2 binary64)))

simplify140.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
2192×*-lowering-*.f32
2192×*-lowering-*.f64
1386×fma-define
1182×times-frac
938×distribute-lft-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036487
195369
2317369
31153369
43527369
08589369
Stop Event
1×iter limit
1×node limit
Counts
84 → 84
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 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))))))
(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)
(/ 1/64 (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))
(* -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))
Outputs
(* -1/4 (pow i 2))
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 (*.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 (*.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 (*.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* -1 (pow i 4))
(-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i (*.f64 i i))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 (*.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 (*.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 (*.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* -1 (pow i 4))
(-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i (*.f64 i i))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 (*.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 (*.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 (*.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* -1/4 i)
(*.f64 i #s(literal -1/4 binary64))
(* i (- (* -1 (pow i 2)) 1/4))
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* i (- (* -1 (pow i 2)) 1/4))
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* i (- (* -1 (pow i 2)) 1/4))
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* -1 (pow i 3))
(-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i i)))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* -1 (pow i 3))
(-.f64 #s(literal 0 binary64) (*.f64 i (*.f64 i i)))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
-1/4
#s(literal -1/4 binary64)
(- (* -1 (pow i 2)) 1/4)
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(- (* -1 (pow i 2)) 1/4)
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(- (* -1 (pow i 2)) 1/4)
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1 (pow i 2))
(-.f64 #s(literal 0 binary64) (*.f64 i i))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1 (pow i 2))
(-.f64 #s(literal 0 binary64) (*.f64 i i))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(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)
(/ 1/64 (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))
(* -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)))

eval53.0ms (1.1%)

Compiler

Compiled 7784 to 894 computations (88.5% saved)

prune42.0ms (0.9%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New4151416
Fresh000
Picked134
Done011
Total4165421
Accuracy
100.0%
Counts
421 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓71.1%
(/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)))
✓49.1%
(/.f64 (*.f64 i i) #s(literal -4 binary64))
✓51.7%
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
▶49.2%
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 i i))
✓51.8%
#s(literal 1/16 binary64)
Compiler

Compiled 38 to 24 computations (36.8% saved)

simplify63.0ms (1.3%)

Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓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
1112×sum3-define
1072×sum5-define
832×fma-define
728×fnmadd-define
582×fmsub-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0515
11415
23115
37315
415815
525815
639115
764015
8233415
9272215
10312115
11344715
12345515
0345515
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (- -1/4 (* i i)) (* i i))
(- -1/4 (* i i))
-1/4
(* i i)
i
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

localize30.0ms (0.6%)

Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓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
22.0ms256×0valid
Compiler

Compiled 21 to 6 computations (71.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 6.0ms (75% of total)
ival-sub: 1.0ms (12.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series1.0ms (0%)

Counts
3 → 36
Calls
Call 1
Inputs
#<alt (* (- -1/4 (* i i)) (* i i))>
#<alt (- -1/4 (* i i))>
#<alt (* i i)>
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)>
Calls

9 calls:

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

rewrite378.0ms (7.7%)

Algorithm
1×batch-egg-rewrite
Rules
3654×/-lowering-/.f32
3654×/-lowering-/.f64
3286×*-lowering-*.f32
3286×*-lowering-*.f64
1942×fma-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0513
13113
219813
3162013
0900813
Stop Event
1×iter limit
1×node limit
Counts
3 → 355
Calls
Call 1
Inputs
(* (- -1/4 (* i i)) (* i i))
(- -1/4 (* i i))
(* i i)
Outputs
(+.f64 (*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) (fma.f64 (neg.f64 (*.f64 i (*.f64 i i))) i (*.f64 i (*.f64 i (*.f64 i i)))))
(+.f64 (*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))
(+.f64 (*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) (fma.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i))) (-.f64 #s(literal 0 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i)))))
(+.f64 (*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) (fma.f64 (*.f64 i (*.f64 i (-.f64 #s(literal 0 binary64) (*.f64 i i)))) #s(literal 1 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))
(+.f64 (*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) (fma.f64 (-.f64 #s(literal 0 binary64) i) (*.f64 i (*.f64 i i)) (*.f64 i (*.f64 i (*.f64 i i)))))
(+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 i (*.f64 i (-.f64 #s(literal 0 binary64) (*.f64 i i)))))
(+.f64 (*.f64 i (*.f64 i (-.f64 #s(literal 0 binary64) (*.f64 i i)))) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(+.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 i i) (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) i) (-.f64 #s(literal 0 binary64) (*.f64 i i))) i))) (fma.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) i) (-.f64 #s(literal 0 binary64) (*.f64 i i)))) i (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) i) (-.f64 #s(literal 0 binary64) (*.f64 i i))) i)))
(+.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 i i) (neg.f64 (*.f64 (*.f64 i (-.f64 #s(literal 0 binary64) (*.f64 i i))) (-.f64 #s(literal 0 binary64) i)))) (fma.f64 (neg.f64 (*.f64 i (-.f64 #s(literal 0 binary64) (*.f64 i i)))) (-.f64 #s(literal 0 binary64) i) (*.f64 (*.f64 i (-.f64 #s(literal 0 binary64) (*.f64 i i))) (-.f64 #s(literal 0 binary64) i))))
(+.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 i i) (neg.f64 (*.f64 (*.f64 i (*.f64 i (-.f64 #s(literal 0 binary64) (*.f64 i i)))) #s(literal -1 binary64)))) (fma.f64 (*.f64 i (*.f64 i (*.f64 i i))) #s(literal -1 binary64) (*.f64 (*.f64 i (*.f64 i (-.f64 #s(literal 0 binary64) (*.f64 i i)))) #s(literal -1 binary64))))
(+.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 i i) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) i) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) i)))) (fma.f64 (neg.f64 (-.f64 #s(literal 0 binary64) i)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) i) (*.f64 (-.f64 #s(literal 0 binary64) i) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) i))))
(+.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 i i) (neg.f64 (*.f64 i (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) (-.f64 #s(literal 0 binary64) i))))) (fma.f64 (-.f64 #s(literal 0 binary64) i) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) (-.f64 #s(literal 0 binary64) i)) (*.f64 i (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) (-.f64 #s(literal 0 binary64) i)))))
(+.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 i i) (neg.f64 (*.f64 (*.f64 i i) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) #s(literal -1 binary64))))) (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) #s(literal -1 binary64)) (*.f64 (*.f64 i i) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) #s(literal -1 binary64)))))
(+.f64 (fma.f64 i (*.f64 #s(literal -1/4 binary64) i) (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) i) (-.f64 #s(literal 0 binary64) (*.f64 i i))) i))) (fma.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) i) (-.f64 #s(literal 0 binary64) (*.f64 i i)))) i (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) i) (-.f64 #s(literal 0 binary64) (*.f64 i i))) i)))
(+.f64 (fma.f64 i (*.f64 #s(literal -1/4 binary64) i) (neg.f64 (*.f64 (*.f64 i (-.f64 #s(literal 0 binary64) (*.f64 i i))) (-.f64 #s(literal 0 binary64) i)))) (fma.f64 (neg.f64 (*.f64 i (-.f64 #s(literal 0 binary64) (*.f64 i i)))) (-.f64 #s(literal 0 binary64) i) (*.f64 (*.f64 i (-.f64 #s(literal 0 binary64) (*.f64 i i))) (-.f64 #s(literal 0 binary64) i))))
(+.f64 (fma.f64 i (*.f64 #s(literal -1/4 binary64) i) (neg.f64 (*.f64 (*.f64 i (*.f64 i (-.f64 #s(literal 0 binary64) (*.f64 i i)))) #s(literal -1 binary64)))) (fma.f64 (*.f64 i (*.f64 i (*.f64 i i))) #s(literal -1 binary64) (*.f64 (*.f64 i (*.f64 i (-.f64 #s(literal 0 binary64) (*.f64 i i)))) #s(literal -1 binary64))))
(+.f64 (fma.f64 i (*.f64 #s(literal -1/4 binary64) i) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) i) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) i)))) (fma.f64 (neg.f64 (-.f64 #s(literal 0 binary64) i)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) i) (*.f64 (-.f64 #s(literal 0 binary64) i) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) i))))
(+.f64 (fma.f64 i (*.f64 #s(literal -1/4 binary64) i) (neg.f64 (*.f64 i (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) (-.f64 #s(literal 0 binary64) i))))) (fma.f64 (-.f64 #s(literal 0 binary64) i) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) (-.f64 #s(literal 0 binary64) i)) (*.f64 i (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) (-.f64 #s(literal 0 binary64) i)))))
(+.f64 (fma.f64 i (*.f64 #s(literal -1/4 binary64) i) (neg.f64 (*.f64 (*.f64 i i) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) #s(literal -1 binary64))))) (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) #s(literal -1 binary64)) (*.f64 (*.f64 i i) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) #s(literal -1 binary64)))))
(+.f64 (fma.f64 (*.f64 i i) #s(literal -1/4 binary64) (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) i) (-.f64 #s(literal 0 binary64) (*.f64 i i))) i))) (fma.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) i) (-.f64 #s(literal 0 binary64) (*.f64 i i)))) i (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) i) (-.f64 #s(literal 0 binary64) (*.f64 i i))) i)))
(+.f64 (fma.f64 (*.f64 i i) #s(literal -1/4 binary64) (neg.f64 (*.f64 (*.f64 i (-.f64 #s(literal 0 binary64) (*.f64 i i))) (-.f64 #s(literal 0 binary64) i)))) (fma.f64 (neg.f64 (*.f64 i (-.f64 #s(literal 0 binary64) (*.f64 i i)))) (-.f64 #s(literal 0 binary64) i) (*.f64 (*.f64 i (-.f64 #s(literal 0 binary64) (*.f64 i i))) (-.f64 #s(literal 0 binary64) i))))
(+.f64 (fma.f64 (*.f64 i i) #s(literal -1/4 binary64) (neg.f64 (*.f64 (*.f64 i (*.f64 i (-.f64 #s(literal 0 binary64) (*.f64 i i)))) #s(literal -1 binary64)))) (fma.f64 (*.f64 i (*.f64 i (*.f64 i i))) #s(literal -1 binary64) (*.f64 (*.f64 i (*.f64 i (-.f64 #s(literal 0 binary64) (*.f64 i i)))) #s(literal -1 binary64))))
(+.f64 (fma.f64 (*.f64 i i) #s(literal -1/4 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) i) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) i)))) (fma.f64 (neg.f64 (-.f64 #s(literal 0 binary64) i)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) i) (*.f64 (-.f64 #s(literal 0 binary64) i) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) i))))
(+.f64 (fma.f64 (*.f64 i i) #s(literal -1/4 binary64) (neg.f64 (*.f64 i (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) (-.f64 #s(literal 0 binary64) i))))) (fma.f64 (-.f64 #s(literal 0 binary64) i) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) (-.f64 #s(literal 0 binary64) i)) (*.f64 i (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) (-.f64 #s(literal 0 binary64) i)))))
(+.f64 (fma.f64 (*.f64 i i) #s(literal -1/4 binary64) (neg.f64 (*.f64 (*.f64 i i) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) #s(literal -1 binary64))))) (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) #s(literal -1 binary64)) (*.f64 (*.f64 i i) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) #s(literal -1 binary64)))))
(+.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) i) i (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) i) (-.f64 #s(literal 0 binary64) (*.f64 i i))) i))) (fma.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) i) (-.f64 #s(literal 0 binary64) (*.f64 i i)))) i (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) i) (-.f64 #s(literal 0 binary64) (*.f64 i i))) i)))
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(*.f64 (/.f64 (+.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 i i) (*.f64 (*.f64 i (*.f64 (*.f64 i i) (*.f64 i (*.f64 i i)))) (*.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 binary64) (+.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))) (/.f64 #s(literal 1 binary64) (-.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 (-.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (+.f64 #s(literal -1/64 binary64) (*.f64 i (*.f64 (*.f64 i i) (*.f64 i (*.f64 i i))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 i 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 (-.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 binary64) (+.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 (-.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (+.f64 #s(literal 1/64 binary64) (*.f64 i (*.f64 (*.f64 i i) (*.f64 i (*.f64 i i))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 i 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 (-.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 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (-.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 i (*.f64 i (*.f64 i i))) #s(literal 1 binary64)))) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(*.f64 (/.f64 (+.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 i i) (*.f64 (*.f64 i (*.f64 (*.f64 i i) (*.f64 i (*.f64 i i)))) (*.f64 i (*.f64 i (*.f64 i i)))))) (/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (-.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))) (+.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(*.f64 (/.f64 (-.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i i))))) (+.f64 #s(literal -1/64 binary64) (*.f64 i (*.f64 (*.f64 i i) (*.f64 i (*.f64 i i)))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 i i) (-.f64 (*.f64 i i) #s(literal -1/4 binary64)))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i i))))) (/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (-.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.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 -1/262144 binary64) (*.f64 (*.f64 i (*.f64 (*.f64 i i) (*.f64 i (*.f64 i i)))) (*.f64 (*.f64 i i) (*.f64 (*.f64 i (*.f64 (*.f64 i i) (*.f64 i (*.f64 i i)))) (*.f64 i (*.f64 i (*.f64 i i))))))) (+.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 i (*.f64 (*.f64 i i) (*.f64 i (*.f64 i i)))) (*.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 i i)) (+.f64 #s(literal -1/4 binary64) (*.f64 i i))))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 i (*.f64 (*.f64 i i) (*.f64 i (*.f64 i i)))) (+.f64 #s(literal -1/64 binary64) (*.f64 i (*.f64 (*.f64 i i) (*.f64 i (*.f64 i i)))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 (*.f64 i i) (+.f64 #s(literal -1/4 binary64) (*.f64 i i))) (-.f64 (*.f64 (*.f64 i i) (+.f64 #s(literal -1/4 binary64) (*.f64 i i))) #s(literal 1/16 binary64)))))))
(*.f64 (/.f64 (+.f64 #s(literal -1/262144 binary64) (*.f64 (*.f64 i (*.f64 (*.f64 i i) (*.f64 i (*.f64 i i)))) (*.f64 (*.f64 i i) (*.f64 (*.f64 i (*.f64 (*.f64 i i) (*.f64 i (*.f64 i i)))) (*.f64 i (*.f64 i (*.f64 i i))))))) (-.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 i i) (*.f64 (+.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 binary64) (+.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 i (*.f64 (*.f64 i i) (*.f64 i (*.f64 i i)))) (+.f64 #s(literal -1/64 binary64) (*.f64 i (*.f64 (*.f64 i i) (*.f64 i (*.f64 i i)))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 i i) (+.f64 #s(literal -1/4 binary64) (*.f64 i i)))))))
(*.f64 (/.f64 (+.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 i i) (*.f64 (*.f64 i (*.f64 (*.f64 i i) (*.f64 i (*.f64 i i)))) (*.f64 i (*.f64 i (*.f64 i i)))))) (+.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 i (*.f64 (*.f64 i i) (*.f64 i (*.f64 i i)))) (*.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 i i)) (+.f64 #s(literal -1/4 binary64) (*.f64 i i))))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/64 binary64) (*.f64 i (*.f64 (*.f64 i i) (*.f64 i (*.f64 i i)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 (*.f64 i i) (+.f64 #s(literal -1/4 binary64) (*.f64 i i))) (-.f64 (*.f64 (*.f64 i i) (+.f64 #s(literal -1/4 binary64) (*.f64 i i))) #s(literal 1/16 binary64)))))))
(*.f64 (/.f64 (+.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 i i) (*.f64 (*.f64 i (*.f64 (*.f64 i i) (*.f64 i (*.f64 i i)))) (*.f64 i (*.f64 i (*.f64 i i)))))) (-.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 i i) (*.f64 (+.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 binary64) (+.f64 #s(literal -1/64 binary64) (*.f64 i (*.f64 (*.f64 i i) (*.f64 i (*.f64 i i)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 i i) (+.f64 #s(literal -1/4 binary64) (*.f64 i i)))))))
(*.f64 (/.f64 (+.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 i i) (*.f64 (*.f64 i (*.f64 (*.f64 i i) (*.f64 i (*.f64 i i)))) (*.f64 i (*.f64 i (*.f64 i i)))))) (/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (+.f64 #s(literal -1/64 binary64) (*.f64 i (*.f64 (*.f64 i i) (*.f64 i (*.f64 i i))))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 i i) (+.f64 #s(literal -1/4 binary64) (*.f64 i i))))))
(*.f64 (/.f64 (+.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 i i) (*.f64 (*.f64 i (*.f64 (*.f64 i i) (*.f64 i (*.f64 i i)))) (*.f64 i (*.f64 i (*.f64 i i)))))) (/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (+.f64 #s(literal 1/64 binary64) (*.f64 i (*.f64 (*.f64 i i) (*.f64 i (*.f64 i i))))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 i i) (+.f64 #s(literal -1/4 binary64) (*.f64 i i)))))))
(*.f64 (/.f64 (+.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 i i) (*.f64 (*.f64 i (*.f64 (*.f64 i i) (*.f64 i (*.f64 i i)))) (*.f64 i (*.f64 i (*.f64 i i)))))) (/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (+.f64 #s(literal -1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 i i) (*.f64 (*.f64 i (*.f64 (*.f64 i i) (*.f64 i (*.f64 i i)))) (*.f64 i (*.f64 i (*.f64 i i)))))) (-.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 i (*.f64 i (*.f64 i i))) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))))
(*.f64 (/.f64 (-.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i i))))) (/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (+.f64 #s(literal -1/64 binary64) (*.f64 i (*.f64 (*.f64 i i) (*.f64 i (*.f64 i i))))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 i i) (+.f64 #s(literal -1/4 binary64) (*.f64 i i))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i i))))) (/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (+.f64 #s(literal 1/64 binary64) (*.f64 i (*.f64 (*.f64 i i) (*.f64 i (*.f64 i i))))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 i i) (+.f64 #s(literal -1/4 binary64) (*.f64 i i)))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i i))))) (/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (+.f64 #s(literal -1/16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.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 1/256 binary64) (*.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i i))))) (-.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 i (*.f64 i (*.f64 i i))) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.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)))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 i)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 i)) #s(literal 1 binary64)))
(pow.f64 i #s(literal 2 binary64))
(pow.f64 (*.f64 i i) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) i) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 i))
(*.f64 i i)
(*.f64 (-.f64 #s(literal 0 binary64) i) (-.f64 #s(literal 0 binary64) i))

simplify162.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
2060×sum5-define
1732×sum4-define
1554×fma-define
1110×*-lowering-*.f32
1110×*-lowering-*.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021202
159142
2204142
3739142
41654142
53476142
66619142
08193142
Stop Event
1×iter limit
1×node limit
Counts
36 → 36
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)
Outputs
(* -1/4 (pow i 2))
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 (*.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 (*.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 (*.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* -1 (pow i 4))
(*.f64 (*.f64 i i) (/.f64 i (/.f64 #s(literal -1 binary64) i)))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 (*.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 (*.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 (*.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* -1 (pow i 4))
(*.f64 (*.f64 i i) (/.f64 i (/.f64 #s(literal -1 binary64) i)))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 (*.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 (*.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 (*.f64 i 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 i (/.f64 #s(literal -1 binary64) 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 i (/.f64 #s(literal -1 binary64) 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)

eval55.0ms (1.1%)

Compiler

Compiled 19129 to 1212 computations (93.7% saved)

prune49.0ms (1%)

Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New4110411
Fresh000
Picked011
Done044
Total4115416
Accuracy
100.0%
Counts
416 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓71.1%
(/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64)))
✓49.1%
(/.f64 (*.f64 i i) #s(literal -4 binary64))
✓51.7%
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
✓49.2%
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 i i))
✓51.8%
#s(literal 1/16 binary64)
Compiler

Compiled 106 to 49 computations (53.8% saved)

regimes44.0ms (0.9%)

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

2 calls:

40.0ms
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
3.0ms
i
Results
AccuracySegmentsBranch
100.0%2i
77.7%2(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Compiler

Compiled 28 to 11 computations (60.7% saved)

regimes3.0ms (0.1%)

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

2.0ms
i
Results
AccuracySegmentsBranch
99.7%2i
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0.1%)

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

1 calls:

2.0ms
i
Results
AccuracySegmentsBranch
99.7%2i
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts
3 → 2
Calls
Call 1
Inputs
#s(literal 1/16 binary64)
(/.f64 (*.f64 i i) #s(literal -4 binary64))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
Outputs
(/.f64 (*.f64 i i) #s(literal -4 binary64))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
Calls

1 calls:

2.0ms
i
Results
AccuracySegmentsBranch
99.5%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 (*.f64 i i) #s(literal -4 binary64))
Outputs
(/.f64 (*.f64 i i) #s(literal -4 binary64))
#s(literal 1/16 binary64)
Calls

1 calls:

2.0ms
i
Results
AccuracySegmentsBranch
99.1%2i
Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

1 calls:

1.0ms
i
Results
AccuracySegmentsBranch
51.8%1i
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch4.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
4.0ms
84418.35336423149
1536645390.056216
Results
2.0ms32×0valid
Compiler

Compiled 62 to 35 computations (43.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-mult: 1.0ms (69.4% of total)
ival-sub: 0.0ms (0% of total)
ival-div: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch20.0ms (0.4%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
18.0ms
0.00011370444999902488
9.863219120567845
Results
13.0ms144×0valid
Compiler

Compiled 210 to 130 computations (38.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 4.0ms (47.1% of total)
ival-div: 3.0ms (35.4% of total)
ival-sub: 1.0ms (11.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch19.0ms (0.4%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
18.0ms
0.00011370444999902488
9.863219120567845
Results
13.0ms144×0valid
Compiler

Compiled 210 to 139 computations (33.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 5.0ms (60.7% of total)
ival-div: 2.0ms (24.3% of total)
ival-sub: 1.0ms (12.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch19.0ms (0.4%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
17.0ms
0.00011370444999902488
9.863219120567845
Results
11.0ms144×0valid
Compiler

Compiled 174 to 121 computations (30.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 4.0ms (59.5% of total)
ival-div: 2.0ms (29.7% of total)
ival-sub: 1.0ms (14.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch19.0ms (0.4%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
17.0ms
0.00011370444999902488
9.863219120567845
Results
12.0ms144×0valid
Compiler

Compiled 120 to 85 computations (29.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 5.0ms (65.3% of total)
ival-div: 2.0ms (26.1% of total)
ival-sub: 1.0ms (13.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify9.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02683
13783
24583
34983
45183
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 i #s(literal 20000000 binary64)) (/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64))) #s(literal 1/16 binary64))
(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 (*.f64 i 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 (*.f64 i i) #s(literal -4 binary64)) #s(literal 1/16 binary64))
#s(literal 1/16 binary64)
Outputs
(if (<=.f64 i #s(literal 20000000 binary64)) (/.f64 (*.f64 i i) (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64))) #s(literal 1/16 binary64))
(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 (*.f64 i 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 (*.f64 i i) #s(literal -4 binary64)) #s(literal 1/16 binary64))
#s(literal 1/16 binary64)

soundness965.0ms (19.8%)

Rules
4808×*-lowering-*.f32
4808×*-lowering-*.f64
3132×/-lowering-/.f32
3132×/-lowering-/.f64
2550×*-lowering-*.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01233
17033
249333
3517033
0835433
01015
14313
219710
3109110
437059
557769
082169
050291
1116233
2282233
3722233
41731233
53656233
67789233
08370233
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 167 to 86 computations (48.5% saved)

preprocess66.0ms (1.4%)

Remove

(abs i)

Compiler

Compiled 254 to 94 computations (63% saved)

end0.0ms (0%)

Profiling

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