Octave 3.8, jcobi/4, as called

Time bar (total: 5.2s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze3.0ms (0.1%)

Memory
5.0MiB live, 5.0MiB allocated; 0ms collecting garbage
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 13 computations (55.2% saved)

sample1.9s (35.7%)

Memory
-17.3MiB live, 1 856.5MiB allocated; 1.6s collecting garbage
Samples
1.5s8 255×0valid
0.0ms1×1valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-mult: 970.0ms (79.7% of total)
ival-div: 116.0ms (9.5% of total)
ival-sub: 61.0ms (5% of total)
ival->: 50.0ms (4.1% of total)
exact: 15.0ms (1.2% of total)
ival-assert: 4.0ms (0.3% of total)
adjust: 3.0ms (0.2% of total)
Bogosity

explain174.0ms (3.4%)

Memory
-15.3MiB live, 274.6MiB allocated; 42ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1940-1(2.439467354516965e-79)(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
720-0-(/.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-#s(literal 1 binary64)
00-0-(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
00-0-(*.f64 i i)
00-0-(*.f64 (*.f64 i i) (*.f64 i i))
00-0-(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
00-0-i
00-0-#s(literal 2 binary64)
00-0-(*.f64 #s(literal 2 binary64) i)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))o/o720
↳(*.f64 (*.f64 i i) (*.f64 i i))overflow98
↳(*.f64 i i)overflow144
↳(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))overflow72
/.f64(/.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)))o/o720
↳(*.f64 (*.f64 i i) (*.f64 i i))overflow98
↳(*.f64 i i)overflow144
↳(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))overflow72
↳(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))overflow72
↳(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))overflow72
↳(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))overflow72
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))u/u610
↳(*.f64 (*.f64 i i) (*.f64 i i))underflow95
↳(*.f64 i i)underflow122
↳(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))underflow61
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))u/n340
↳(*.f64 (*.f64 i i) (*.f64 i i))underflow95
↳(*.f64 i i)underflow122
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))o/n260
↳(*.f64 (*.f64 i i) (*.f64 i i))overflow98
↳(*.f64 i i)overflow144
Confusion
Predicted +Predicted -
+1931
-062
Precision
1.0
Recall
0.9948453608247423
Confusion?
Predicted +Predicted MaybePredicted -
+19301
-0062
Precision?
1.0
Recall?
0.9948453608247423
Freqs
test
numberfreq
063
1121
272
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
61.0ms512×0valid
Compiler

Compiled 173 to 34 computations (80.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-mult: 35.0ms (76.7% of total)
ival-div: 6.0ms (13.2% of total)
ival-sub: 3.0ms (6.6% of total)
exact: 1.0ms (2.2% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess137.0ms (2.6%)

Memory
19.2MiB live, 151.9MiB allocated; 22ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01243
16243
250326
3400126
01025
01721
15619
238213
3306413
0843112
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/.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 (*.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)))
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 i i))
Symmetry

(abs i)

Compiler

Compiled 25 to 10 computations (60% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶26.1%
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Compiler

Compiled 25 to 10 computations (60% saved)

simplify149.0ms (2.9%)

Memory
-27.1MiB live, 157.1MiB allocated; 30ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff1
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
cost-diff2
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
cost-diff4
(*.f64 (*.f64 i i) (*.f64 i i))
cost-diff4
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01072
01762
15656
238242
3306442
0843140
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.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)))
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
(*.f64 (*.f64 i i) (*.f64 i i))
(*.f64 i i)
i
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(*.f64 #s(literal 2 binary64) i)
#s(literal 2 binary64)
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(/.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)))
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 i i))
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(*.f64 (*.f64 i i) (*.f64 i i))
(pow.f64 i #s(literal 4 binary64))
(*.f64 i i)
i
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(*.f64 #s(literal 4 binary64) (*.f64 i i))
(*.f64 #s(literal 2 binary64) i)
#s(literal 2 binary64)
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
#s(literal 1 binary64)

localize26.0ms (0.5%)

Memory
3.1MiB live, 48.0MiB allocated; 4ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 #s(literal 2 binary64) i)
accuracy0.1171875
(*.f64 (*.f64 i i) (*.f64 i i))
accuracy17.44318545958515
(/.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)))
accuracy43.253775293515574
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
Samples
17.0ms256×0valid
Compiler

Compiled 74 to 12 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 6.0ms (57% of total)
ival-div: 3.0ms (28.5% of total)
ival-sub: 1.0ms (9.5% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
11.3MiB live, 11.3MiB allocated; 0ms collecting garbage
Counts
6 → 15
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
(*.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))
(/.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)))
(*.f64 #s(literal 2 binary64) i)
Outputs
(* 1/4 (pow i 2))
(pow i 4)
(* 4 (pow i 2))
-1
(- (* 4 (pow i 2)) 1)
(* -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))
(* 2 i)
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
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))))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
i
@inf
((/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* i i) (* i i)) (* (* 2 i) (* 2 i)) (- (* (* 2 i) (* 2 i)) 1) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* 2 i))
2.0ms
i
@0
((/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* i i) (* i i)) (* (* 2 i) (* 2 i)) (- (* (* 2 i) (* 2 i)) 1) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* 2 i))
1.0ms
i
@-inf
((/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* i i) (* i i)) (* (* 2 i) (* 2 i)) (- (* (* 2 i) (* 2 i)) 1) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* 2 i))

simplify199.0ms (3.8%)

Memory
8.6MiB live, 148.3MiB allocated; 21ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050126
195126
2209126
3495126
41135126
51599126
61870126
72048126
82062126
92062126
102062126
112488126
123407126
133413126
143439126
153803126
164501126
175100126
185965126
08014124
Stop Event
1×iter limit
1×node limit
Counts
15 → 15
Calls
Call 1
Inputs
(* 1/4 (pow i 2))
(pow i 4)
(* 4 (pow i 2))
-1
(- (* 4 (pow i 2)) 1)
(* -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))
(* 2 i)
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
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))))))
Outputs
(* 1/4 (pow i 2))
(*.f64 (*.f64 #s(literal 1/4 binary64) i) i)
(pow i 4)
(pow.f64 i #s(literal 4 binary64))
(* 4 (pow i 2))
(*.f64 (*.f64 #s(literal 4 binary64) i) i)
-1
#s(literal -1 binary64)
(- (* 4 (pow i 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(* -1/4 (pow i 2))
(*.f64 (*.f64 #s(literal -1/4 binary64) i) i)
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 1 binary64)) i) i) #s(literal 1/4 binary64)) (*.f64 i i))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -16 binary64) (*.f64 i i)) #s(literal 4 binary64)) i) i) #s(literal 1 binary64)) (*.f64 i i)) #s(literal 1/4 binary64)) (*.f64 i i))
(* 2 i)
(*.f64 #s(literal 2 binary64) i)
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(-.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(-.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (-.f64 (-.f64 (/.f64 #s(literal -1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64)))))

rewrite49.0ms (0.9%)

Memory
17.7MiB live, 61.4MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01066
01750
17944
066142
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
6 → 166
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
(*.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))
(/.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)))
(*.f64 #s(literal 2 binary64) i)
Outputs
(*.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 i #s(literal 4 binary64))) (/.f64 i i))
(*.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 4 binary64)) (/.f64 i (*.f64 i i)))
(*.f64 (/.f64 (*.f64 (neg.f64 i) i) (*.f64 i #s(literal 4 binary64))) (/.f64 (*.f64 (neg.f64 i) i) i))
(*.f64 (/.f64 (*.f64 (neg.f64 i) i) #s(literal 4 binary64)) (/.f64 (*.f64 (neg.f64 i) i) (*.f64 i i)))
(*.f64 (/.f64 (*.f64 (neg.f64 i) i) (*.f64 (fabs.f64 i) #s(literal 2 binary64))) (/.f64 (*.f64 (neg.f64 i) i) (*.f64 (fabs.f64 i) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (neg.f64 i) i) (*.f64 #s(literal 2 binary64) i)) (/.f64 (*.f64 (neg.f64 i) i) (*.f64 #s(literal 2 binary64) i)))
(*.f64 (/.f64 (*.f64 i i) (*.f64 i #s(literal 4 binary64))) (/.f64 (*.f64 i i) i))
(*.f64 (/.f64 (*.f64 i i) #s(literal 4 binary64)) (/.f64 (*.f64 i i) (*.f64 i i)))
(*.f64 (/.f64 (*.f64 i i) (*.f64 #s(literal -2 binary64) i)) (/.f64 (*.f64 i i) (*.f64 #s(literal -2 binary64) i)))
(*.f64 (/.f64 (*.f64 i i) (*.f64 (fabs.f64 i) #s(literal 2 binary64))) (/.f64 (*.f64 i i) (*.f64 (fabs.f64 i) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) i)) (/.f64 i (*.f64 #s(literal -2 binary64) i)))
(*.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 (fabs.f64 i) #s(literal 2 binary64))) (/.f64 i (*.f64 (fabs.f64 i) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) i)) (/.f64 i (*.f64 #s(literal 2 binary64) i)))
(*.f64 (/.f64 (*.f64 (neg.f64 i) i) #s(literal 2 binary64)) (/.f64 (*.f64 (neg.f64 i) i) (*.f64 (*.f64 #s(literal 2 binary64) i) i)))
(*.f64 (/.f64 (*.f64 i i) #s(literal 2 binary64)) (/.f64 (*.f64 i i) (*.f64 (*.f64 #s(literal 2 binary64) i) i)))
(*.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 2 binary64)) (/.f64 i (*.f64 (*.f64 #s(literal 2 binary64) i) i)))
(*.f64 (/.f64 i (*.f64 i #s(literal 4 binary64))) (/.f64 (pow.f64 i #s(literal 3 binary64)) i))
(*.f64 (/.f64 i #s(literal 4 binary64)) (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 i i)))
(*.f64 (/.f64 i (*.f64 #s(literal -2 binary64) i)) (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) i)))
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eval25.0ms (0.5%)

Memory
5.4MiB live, 48.6MiB allocated; 9ms collecting garbage
Compiler

Compiled 5 966 to 690 computations (88.4% saved)

prune81.0ms (1.6%)

Memory
-19.8MiB live, 46.1MiB allocated; 83ms collecting garbage
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New2267233
Fresh000
Picked101
Done000
Total2277234
Accuracy
100.0%
Counts
234 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶71.9%
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
71.9%
(*.f64 (*.f64 i i) (/.f64 (*.f64 (/.f64 i (*.f64 i #s(literal 4 binary64))) (/.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
▶52.1%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
48.3%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 1 binary64)) i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
▶48.3%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
▶48.1%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
▶52.4%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Compiler

Compiled 442 to 216 computations (51.1% saved)

simplify142.0ms (2.7%)

Memory
21.5MiB live, 154.2MiB allocated; 88ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (neg.f64 i) i)
cost-diff0
(-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64))
cost-diff0
(*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i))
cost-diff0
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
cost-diff0
(*.f64 i i)
cost-diff0
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
cost-diff0
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
cost-diff0
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
cost-diff0
(*.f64 #s(literal -1/4 binary64) i)
cost-diff0
(*.f64 (*.f64 #s(literal -1/4 binary64) i) i)
cost-diff0
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
cost-diff0
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
cost-diff0
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))
cost-diff0
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
cost-diff1
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
cost-diff2
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034266
050240
1102228
2457192
33214192
08887186
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))
(*.f64 (*.f64 #s(literal 1/4 binary64) i) i)
(*.f64 #s(literal 1/4 binary64) i)
#s(literal 1/4 binary64)
i
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(*.f64 #s(literal 2 binary64) i)
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(literal 1/16 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
(*.f64 (*.f64 #s(literal -1/4 binary64) i) i)
(*.f64 #s(literal -1/4 binary64) i)
#s(literal -1/4 binary64)
i
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
#s(literal 1/64 binary64)
(*.f64 i i)
i
#s(literal 1/16 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
(*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i))
(-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64))
(*.f64 (neg.f64 i) i)
(neg.f64 i)
i
#s(literal 1/4 binary64)
(*.f64 i i)
Outputs
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))
(*.f64 (*.f64 #s(literal 1/4 binary64) i) i)
(*.f64 #s(literal 1/4 binary64) i)
#s(literal 1/4 binary64)
i
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(*.f64 (*.f64 #s(literal 4 binary64) i) i)
(*.f64 #s(literal 2 binary64) i)
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(literal 1/16 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
(*.f64 (*.f64 #s(literal -1/4 binary64) i) i)
(*.f64 #s(literal -1/4 binary64) i)
#s(literal -1/4 binary64)
i
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
#s(literal 1/64 binary64)
(*.f64 i i)
i
#s(literal 1/16 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) i) i))
(*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i))
(*.f64 (*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) i) i)
(-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64))
(*.f64 (neg.f64 i) i)
(neg.f64 i)
i
#s(literal 1/4 binary64)
(*.f64 i i)

localize94.0ms (1.8%)

Memory
-29.3MiB live, 123.0MiB allocated; 29ms collecting garbage
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 i i)
accuracy0.0
(neg.f64 i)
accuracy0.0625
(*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i))
accuracy33.11041794199978
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
accuracy0.0
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
accuracy0.0
(*.f64 i i)
accuracy0.1852382672405944
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
accuracy30.630264735151883
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
accuracy0.0
(*.f64 (*.f64 #s(literal -1/4 binary64) i) i)
accuracy0.0
(*.f64 #s(literal -1/4 binary64) i)
accuracy33.19708972045012
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
accuracy30.47783209560621
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
accuracy0.0
(*.f64 #s(literal 2 binary64) i)
accuracy0.0
(*.f64 #s(literal 1/4 binary64) i)
accuracy0.0
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))
accuracy17.44318545958515
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Samples
79.0ms256×0valid
Compiler

Compiled 229 to 26 computations (88.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-mult: 22.0ms (44.9% of total)
ival-neg: 18.0ms (36.8% of total)
ival-div: 4.0ms (8.2% of total)
ival-sub: 2.0ms (4.1% of total)
ival-add: 1.0ms (2% of total)
exact: 1.0ms (2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series9.0ms (0.2%)

Memory
18.6MiB live, 18.6MiB allocated; 0ms collecting garbage
Counts
19 → 26
Calls
Call 1
Inputs
(*.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))
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
(*.f64 (*.f64 #s(literal -1/4 binary64) i) i)
(*.f64 #s(literal -1/4 binary64) i)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(*.f64 i i)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
(*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i))
(-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64))
(*.f64 (neg.f64 i) i)
(*.f64 #s(literal 1/4 binary64) i)
(*.f64 #s(literal 2 binary64) i)
(neg.f64 i)
Outputs
(* 4 (pow i 2))
-1
(- (* 4 (pow i 2)) 1)
(* -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))
(* 1/4 (pow i 2))
(* -1/4 i)
(/ 1/64 (pow i 2))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(pow i 2)
-1/4
(- (* -1 (pow i 2)) 1/4)
(* -1 (pow i 2))
(* 1/4 i)
(* 2 i)
(* -1 i)
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
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 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
i
@inf
((* (* 2 i) (* 2 i)) (- (* (* 2 i) (* 2 i)) 1) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* -1/4 i) i) (* -1/4 i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+ (/ 1/64 (* i i)) 1/16) (/ 1/64 (* i i)) (* i i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (- (* (neg i) i) 1/4) (* i i)) (- (* (neg i) i) 1/4) (* (neg i) i) (* 1/4 i) (* 2 i) (neg i))
3.0ms
i
@0
((* (* 2 i) (* 2 i)) (- (* (* 2 i) (* 2 i)) 1) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* -1/4 i) i) (* -1/4 i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+ (/ 1/64 (* i i)) 1/16) (/ 1/64 (* i i)) (* i i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (- (* (neg i) i) 1/4) (* i i)) (- (* (neg i) i) 1/4) (* (neg i) i) (* 1/4 i) (* 2 i) (neg i))
2.0ms
i
@-inf
((* (* 2 i) (* 2 i)) (- (* (* 2 i) (* 2 i)) 1) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* -1/4 i) i) (* -1/4 i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+ (/ 1/64 (* i i)) 1/16) (/ 1/64 (* i i)) (* i i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (- (* (neg i) i) 1/4) (* i i)) (- (* (neg i) i) 1/4) (* (neg i) i) (* 1/4 i) (* 2 i) (neg i))

simplify104.0ms (2%)

Memory
-3.5MiB live, 97.0MiB allocated; 9ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
064191
1150191
2418179
31601179
44422179
57683179
08257179
Stop Event
1×iter limit
1×node limit
Counts
26 → 26
Calls
Call 1
Inputs
(* 4 (pow i 2))
-1
(- (* 4 (pow i 2)) 1)
(* -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))
(* 1/4 (pow i 2))
(* -1/4 i)
(/ 1/64 (pow i 2))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(pow i 2)
-1/4
(- (* -1 (pow i 2)) 1/4)
(* -1 (pow i 2))
(* 1/4 i)
(* 2 i)
(* -1 i)
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
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 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
Outputs
(* 4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
-1
#s(literal -1 binary64)
(- (* 4 (pow i 2)) 1)
(-.f64 (*.f64 (*.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64))
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 1 binary64)) i) i) #s(literal 1/4 binary64)) (*.f64 i i))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -16 binary64) (*.f64 i i)) #s(literal 4 binary64)) i) i) #s(literal 1 binary64)) (*.f64 i i)) #s(literal 1/4 binary64)) (*.f64 i i))
(* 1/4 (pow i 2))
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(/ 1/64 (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 i i)) #s(literal -1/16 binary64))
(pow i 2)
(*.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))
(*.f64 (neg.f64 i) i)
(* 1/4 i)
(*.f64 #s(literal 1/4 binary64) i)
(* 2 i)
(*.f64 #s(literal 2 binary64) i)
(* -1 i)
(neg.f64 i)
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))) i) i)
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(-.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #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))) (* 1/1024 (/ 1 (pow i 6))))))
(-.f64 (-.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (/.f64 #s(literal -1/64 binary64) (*.f64 i i))) (-.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64)))))
(* -1 (pow i 4))
(neg.f64 (pow.f64 i #s(literal 4 binary64)))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 i i))) (pow.f64 i #s(literal 4 binary64)))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))

rewrite208.0ms (4%)

Memory
1.6MiB live, 233.0MiB allocated; 29ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034246
050206
1158194
21017134
09922132
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
19 → 2 509
Calls
Call 1
Inputs
(*.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))
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
(*.f64 (*.f64 #s(literal -1/4 binary64) i) i)
(*.f64 #s(literal -1/4 binary64) i)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(*.f64 i i)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
(*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i))
(-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64))
(*.f64 (neg.f64 i) i)
(*.f64 #s(literal 1/4 binary64) i)
(*.f64 #s(literal 2 binary64) i)
(neg.f64 i)
Outputs
(*.f64 (*.f64 #s(literal 16 binary64) (pow.f64 (neg.f64 i) #s(literal 3 binary64))) (neg.f64 i))
(*.f64 (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 3 binary64))) i)
(*.f64 (*.f64 #s(literal 16 binary64) (*.f64 (neg.f64 i) i)) (*.f64 (neg.f64 i) i))
(*.f64 (*.f64 #s(literal 16 binary64) (neg.f64 i)) (pow.f64 (neg.f64 i) #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal 16 binary64) (*.f64 i i)) (*.f64 i i))
(*.f64 (*.f64 #s(literal 16 binary64) i) (pow.f64 i #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) i) #s(literal -4 binary64)) (*.f64 i i))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 i i)) #s(literal 4 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) i) (*.f64 #s(literal -2 binary64) i))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 16 binary64)) (pow.f64 i #s(literal 4 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)) #s(literal 4 binary64)) (*.f64 i i))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)) (*.f64 i i)) #s(literal 4 binary64))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)) i) (*.f64 #s(literal -2 binary64) i))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) i))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 64 binary64)) (pow.f64 i #s(literal 6 binary64)))
(*.f64 (*.f64 #s(literal -4 binary64) (neg.f64 i)) (neg.f64 i))
(*.f64 (*.f64 #s(literal -4 binary64) i) i)
(*.f64 (*.f64 #s(literal -2 binary64) (*.f64 i i)) #s(literal 2 binary64))
(*.f64 #s(literal 256 binary64) (pow.f64 i #s(literal 8 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 3/4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 3/4 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) i))
(*.f64 (sqrt.f64 i) (*.f64 #s(literal -2 binary64) i))
(*.f64 #s(literal -8 binary64) (pow.f64 i #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 i i) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 i i) #s(literal 3/2 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (*.f64 #s(literal -2 binary64) i))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (*.f64 #s(literal -2 binary64) i))
(*.f64 (pow.f64 i #s(literal 3/2 binary64)) (*.f64 #s(literal -2 binary64) i))
(*.f64 #s(literal 262144 binary64) (pow.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 3 binary64)))
(*.f64 #s(literal 512 binary64) (*.f64 #s(literal -2 binary64) i))
(*.f64 #s(literal 4096 binary64) (pow.f64 i #s(literal 12 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 (*.f64 i i) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64))))
(*.f64 #s(literal -4 binary64) (*.f64 (neg.f64 i) i))
(*.f64 #s(literal -4 binary64) (*.f64 i i))
(*.f64 #s(literal -2 binary64) (neg.f64 i))
(*.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) i))
(*.f64 #s(literal -2 binary64) i)
(*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)))
(*.f64 #s(literal 16 binary64) (*.f64 #s(literal -2 binary64) i))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) i))
(*.f64 (fma.f64 i i #s(literal 0 binary64)) (*.f64 #s(literal -2 binary64) i))
(*.f64 (pow.f64 (neg.f64 i) #s(literal 3 binary64)) #s(literal 8 binary64))
(*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal -8 binary64))
(*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 64 binary64))
(*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 8 binary64))
(*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 4 binary64))
(*.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) i))
(*.f64 #s(literal 64 binary64) (pow.f64 i #s(literal 6 binary64)))
(*.f64 #s(literal 64 binary64) (*.f64 #s(literal -2 binary64) i))
(*.f64 #s(literal 8 binary64) (pow.f64 (neg.f64 i) #s(literal 3 binary64)))
(*.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64)))
(*.f64 #s(literal 8 binary64) (*.f64 #s(literal -2 binary64) i))
(*.f64 (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) i))
(*.f64 #s(literal 4 binary64) (neg.f64 (*.f64 (*.f64 i i) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)))))
(*.f64 #s(literal 4 binary64) (*.f64 (*.f64 i i) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64))))
(*.f64 #s(literal 4 binary64) (fma.f64 i i #s(literal 0 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 (neg.f64 i) i))
(*.f64 #s(literal 4 binary64) (neg.f64 i))
(*.f64 #s(literal 4 binary64) (*.f64 i i))
(*.f64 #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) i))
(*.f64 #s(literal 4 binary64) i)
(*.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 64 binary64))
(*.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 8 binary64))
(*.f64 (*.f64 (neg.f64 i) i) #s(literal 4 binary64))
(*.f64 (*.f64 (neg.f64 i) i) (*.f64 #s(literal -2 binary64) i))
(*.f64 (*.f64 (neg.f64 i) i) #s(literal 2 binary64))
(*.f64 (neg.f64 i) #s(literal -2 binary64))
(*.f64 (neg.f64 i) #s(literal 4 binary64))
(*.f64 (neg.f64 i) (*.f64 #s(literal -2 binary64) i))
(*.f64 (neg.f64 i) #s(literal 2 binary64))
(*.f64 (*.f64 i i) (-.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 4 binary64)))
(*.f64 (*.f64 i i) #s(literal -4 binary64))
(*.f64 (*.f64 i i) #s(literal -2 binary64))
(*.f64 (*.f64 i i) #s(literal 16 binary64))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
(*.f64 (*.f64 i i) (*.f64 #s(literal -2 binary64) i))
(*.f64 (*.f64 i i) #s(literal 2 binary64))
(*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64))
(*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 4 binary64))
(*.f64 (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) i))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) i))
(*.f64 (*.f64 #s(literal -2 binary64) i) (-.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) i) (-.f64 (*.f64 #s(literal -2 binary64) i) i))
(*.f64 (*.f64 #s(literal -2 binary64) i) (neg.f64 (*.f64 i (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) i) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) i) (sqrt.f64 (neg.f64 i)))
(*.f64 (*.f64 #s(literal -2 binary64) i) (sqrt.f64 i))
(*.f64 (*.f64 #s(literal -2 binary64) i) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) i) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) i) (pow.f64 (neg.f64 i) #s(literal 3/2 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) i) (pow.f64 i #s(literal 3/2 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) i) (pow.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) i) (*.f64 i (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) i) #s(literal -2 binary64))
(*.f64 (*.f64 #s(literal -2 binary64) i) #s(literal -1 binary64))
(*.f64 (*.f64 #s(literal -2 binary64) i) (pow.f64 (neg.f64 i) #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) i) (pow.f64 i #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 8 binary64))
(*.f64 (*.f64 #s(literal -2 binary64) i) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 4 binary64))
(*.f64 (*.f64 #s(literal -2 binary64) i) (pow.f64 i #s(literal 6 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) i) (*.f64 (neg.f64 i) i))
(*.f64 (*.f64 #s(literal -2 binary64) i) (neg.f64 i))
(*.f64 (*.f64 #s(literal -2 binary64) i) (*.f64 i i))
(*.f64 (*.f64 #s(literal -2 binary64) i) (pow.f64 i #s(literal 4 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) i) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal -2 binary64) i) (*.f64 #s(literal -2 binary64) i))
(*.f64 (*.f64 #s(literal -2 binary64) i) i)
(*.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 2 binary64))
(*.f64 i #s(literal -4 binary64))
(*.f64 i #s(literal -2 binary64))
(*.f64 i #s(literal 4 binary64))
(*.f64 i (*.f64 #s(literal -2 binary64) i))
(*.f64 i #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 i #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (neg.f64 i))
(*.f64 #s(literal 2 binary64) (*.f64 i i))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) i))
(*.f64 #s(literal 2 binary64) i)
(pow.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 9 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 18 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 12 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 3/2 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 8 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 6 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 4 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 i #s(literal 6 binary64)) (pow.f64 i #s(literal 6 binary64))) (-.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 i #s(literal 3 binary64))))
(/.f64 (+.f64 (pow.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 i #s(literal 6 binary64)) (-.f64 (pow.f64 i #s(literal 6 binary64)) (pow.f64 i #s(literal 6 binary64)))))
(/.f64 (+.f64 (pow.f64 (neg.f64 i) #s(literal 3 binary64)) (pow.f64 (neg.f64 i) #s(literal 3 binary64))) (fma.f64 i i #s(literal 0 binary64)))
(/.f64 (-.f64 (pow.f64 i #s(literal 4 binary64)) (pow.f64 i #s(literal 4 binary64))) #s(literal 0 binary64))
(/.f64 (+.f64 (pow.f64 i #s(literal 6 binary64)) (pow.f64 i #s(literal 6 binary64))) (+.f64 (pow.f64 i #s(literal 4 binary64)) (-.f64 (pow.f64 i #s(literal 4 binary64)) (pow.f64 i #s(literal 4 binary64)))))
(/.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) i)) (*.f64 #s(literal 0 binary64) (fma.f64 i i #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64))) (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64))) (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64))))
(/.f64 #s(literal 0 binary64) (-.f64 (neg.f64 i) (neg.f64 i)))
(/.f64 #s(literal 0 binary64) (*.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) i) (neg.f64 (fma.f64 i i #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal -2 binary64) i) (*.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 i i #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal -2 binary64) i) (*.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64))))
(/.f64 (*.f64 #s(literal -2 binary64) i) (*.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal -2 binary64) i) (fabs.f64 (fma.f64 i i #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal -2 binary64) i) (pow.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) i) (fma.f64 i i #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) i) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) i) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) i) (*.f64 #s(literal -2 binary64) i))
(neg.f64 (*.f64 #s(literal 16 binary64) (neg.f64 (pow.f64 i #s(literal 4 binary64)))))
(neg.f64 (*.f64 #s(literal -2 binary64) i))
(fma.f64 (*.f64 #s(literal 16 binary64) (pow.f64 (neg.f64 i) #s(literal 3 binary64))) (neg.f64 i) (*.f64 (+.f64 i #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) i)))
(fma.f64 (*.f64 #s(literal 16 binary64) (pow.f64 (neg.f64 i) #s(literal 3 binary64))) (neg.f64 i) (*.f64 (-.f64 i #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) i)))
(fma.f64 (*.f64 #s(literal 16 binary64) (pow.f64 (neg.f64 i) #s(literal 3 binary64))) (neg.f64 i) (*.f64 (*.f64 #s(literal -2 binary64) i) (+.f64 i #s(literal 1 binary64))))
(fma.f64 (*.f64 #s(literal 16 binary64) (pow.f64 (neg.f64 i) #s(literal 3 binary64))) (neg.f64 i) (*.f64 (*.f64 #s(literal -2 binary64) i) (-.f64 i #s(literal 1 binary64))))
(fma.f64 (*.f64 #s(literal 16 binary64) (pow.f64 (neg.f64 i) #s(literal 3 binary64))) (neg.f64 i) (*.f64 #s(literal -2 binary64) i))
(fma.f64 (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 3 binary64))) i (*.f64 (+.f64 i #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) i)))
(fma.f64 (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 3 binary64))) i (*.f64 (-.f64 i #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) i)))
(fma.f64 (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 3 binary64))) i (*.f64 (*.f64 #s(literal -2 binary64) i) (+.f64 i #s(literal 1 binary64))))
(fma.f64 (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 3 binary64))) i (*.f64 (*.f64 #s(literal -2 binary64) i) (-.f64 i #s(literal 1 binary64))))
(fma.f64 (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 3 binary64))) i (*.f64 #s(literal -2 binary64) i))
(fma.f64 (*.f64 #s(literal 16 binary64) (*.f64 (neg.f64 i) i)) (*.f64 (neg.f64 i) i) (*.f64 (+.f64 i #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) i)))
(fma.f64 (*.f64 #s(literal 16 binary64) (*.f64 (neg.f64 i) i)) (*.f64 (neg.f64 i) i) (*.f64 (-.f64 i #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) i)))
(fma.f64 (*.f64 #s(literal 16 binary64) (*.f64 (neg.f64 i) i)) (*.f64 (neg.f64 i) i) (*.f64 (*.f64 #s(literal -2 binary64) i) (+.f64 i #s(literal 1 binary64))))
(fma.f64 (*.f64 #s(literal 16 binary64) (*.f64 (neg.f64 i) i)) (*.f64 (neg.f64 i) i) (*.f64 (*.f64 #s(literal -2 binary64) i) (-.f64 i #s(literal 1 binary64))))
(fma.f64 (*.f64 #s(literal 16 binary64) (*.f64 (neg.f64 i) i)) (*.f64 (neg.f64 i) i) (*.f64 #s(literal -2 binary64) i))
(fma.f64 (*.f64 #s(literal 16 binary64) (neg.f64 i)) (pow.f64 (neg.f64 i) #s(literal 3 binary64)) (*.f64 (+.f64 i #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) i)))
(fma.f64 (*.f64 #s(literal 16 binary64) (neg.f64 i)) (pow.f64 (neg.f64 i) #s(literal 3 binary64)) (*.f64 (-.f64 i #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) i)))
(fma.f64 (*.f64 #s(literal 16 binary64) (neg.f64 i)) (pow.f64 (neg.f64 i) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) i) (+.f64 i #s(literal 1 binary64))))
(fma.f64 (*.f64 #s(literal 16 binary64) (neg.f64 i)) (pow.f64 (neg.f64 i) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) i) (-.f64 i #s(literal 1 binary64))))
(fma.f64 (*.f64 #s(literal 16 binary64) (neg.f64 i)) (pow.f64 (neg.f64 i) #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) i))
(fma.f64 (*.f64 #s(literal 16 binary64) (*.f64 i i)) (*.f64 i i) (*.f64 (+.f64 i #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) i)))
(fma.f64 (*.f64 #s(literal 16 binary64) (*.f64 i i)) (*.f64 i i) (*.f64 (-.f64 i #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) i)))
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(fma.f64 (*.f64 i i) #s(literal 16 binary64) (*.f64 (-.f64 i #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) i)))
(fma.f64 (*.f64 i i) #s(literal 16 binary64) (*.f64 (*.f64 #s(literal -2 binary64) i) (+.f64 i #s(literal 1 binary64))))
(fma.f64 (*.f64 i i) #s(literal 16 binary64) (*.f64 (*.f64 #s(literal -2 binary64) i) (-.f64 i #s(literal 1 binary64))))
(fma.f64 (*.f64 i i) #s(literal 16 binary64) (*.f64 #s(literal -2 binary64) i))
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(fma.f64 (*.f64 i i) #s(literal 4 binary64) (*.f64 (-.f64 i #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) i)))
(fma.f64 (*.f64 i i) #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -2 binary64) i) (+.f64 i #s(literal 1 binary64))))
(fma.f64 (*.f64 i i) #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -2 binary64) i) (-.f64 i #s(literal 1 binary64))))
(fma.f64 (*.f64 i i) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) i))
(fma.f64 (*.f64 i i) #s(literal 1 binary64) (fma.f64 i i (*.f64 #s(literal -2 binary64) i)))
(fma.f64 (*.f64 i i) #s(literal 1 binary64) (*.f64 i i))
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(fma.f64 (*.f64 i i) (*.f64 #s(literal -2 binary64) i) (*.f64 #s(literal -2 binary64) i))
(fma.f64 (*.f64 i i) i (pow.f64 i #s(literal 3 binary64)))
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(-.f64 (*.f64 #s(literal -2 binary64) i) (*.f64 #s(literal -2 binary64) i))
(fabs.f64 (*.f64 #s(literal -2 binary64) i))
(hypot.f64 (pow.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 3/4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 3/4 binary64)))
(hypot.f64 (pow.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 3/4 binary64)) (*.f64 #s(literal -2 binary64) i))
(hypot.f64 (pow.f64 i #s(literal 1/2 binary64)) (pow.f64 i #s(literal 1/2 binary64)))
(hypot.f64 (pow.f64 i #s(literal 1/2 binary64)) (sqrt.f64 (neg.f64 i)))
(hypot.f64 (pow.f64 i #s(literal 1/2 binary64)) (sqrt.f64 i))
(hypot.f64 (sqrt.f64 (*.f64 (neg.f64 i) i)) (sqrt.f64 (*.f64 (neg.f64 i) i)))
(hypot.f64 (sqrt.f64 (*.f64 (neg.f64 i) i)) (exp.f64 (log.f64 i)))
(hypot.f64 (sqrt.f64 (*.f64 (neg.f64 i) i)) (neg.f64 i))
(hypot.f64 (sqrt.f64 (*.f64 (neg.f64 i) i)) i)
(hypot.f64 (sqrt.f64 (neg.f64 i)) (pow.f64 i #s(literal 1/2 binary64)))
(hypot.f64 (sqrt.f64 (neg.f64 i)) (sqrt.f64 (neg.f64 i)))
(hypot.f64 (sqrt.f64 (neg.f64 i)) (sqrt.f64 i))
(hypot.f64 (sqrt.f64 i) (pow.f64 i #s(literal 1/2 binary64)))
(hypot.f64 (sqrt.f64 i) (sqrt.f64 (neg.f64 i)))
(hypot.f64 (sqrt.f64 i) (sqrt.f64 i))
(hypot.f64 (exp.f64 (log.f64 i)) (sqrt.f64 (*.f64 (neg.f64 i) i)))
(hypot.f64 (exp.f64 (log.f64 i)) (exp.f64 (log.f64 i)))
(hypot.f64 (exp.f64 (log.f64 i)) (neg.f64 i))
(hypot.f64 (exp.f64 (log.f64 i)) i)
(hypot.f64 (pow.f64 i #s(literal 3/2 binary64)) (pow.f64 i #s(literal 3/2 binary64)))
(hypot.f64 (neg.f64 i) (sqrt.f64 (*.f64 (neg.f64 i) i)))
(hypot.f64 (neg.f64 i) (exp.f64 (log.f64 i)))
(hypot.f64 (neg.f64 i) (neg.f64 i))
(hypot.f64 (neg.f64 i) i)
(hypot.f64 (*.f64 #s(literal -2 binary64) i) (pow.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 3/4 binary64)))
(hypot.f64 (*.f64 #s(literal -2 binary64) i) (*.f64 #s(literal -2 binary64) i))
(hypot.f64 i (sqrt.f64 (*.f64 (neg.f64 i) i)))
(hypot.f64 i (exp.f64 (log.f64 i)))
(hypot.f64 i (neg.f64 i))
(hypot.f64 i i)
(exp.f64 (fma.f64 (log.f64 i) #s(literal 2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) i))))
(exp.f64 (fma.f64 (log.f64 (*.f64 #s(literal -2 binary64) i)) #s(literal 3 binary64) (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) i)) #s(literal 3 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) i)) #s(literal 3 binary64)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (log.f64 (*.f64 #s(literal -2 binary64) i)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) i)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) i)) #s(literal 3 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) i)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) i)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) i)) #s(literal 6 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) i)) #s(literal 4 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) i)))
(+.f64 (fma.f64 #s(literal -2 binary64) i (*.f64 i i)) (*.f64 i i))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 i i)) (*.f64 #s(literal -2 binary64) (*.f64 i i)))
(+.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) (fma.f64 i i #s(literal 0 binary64))) (/.f64 (pow.f64 i #s(literal 3 binary64)) (fma.f64 i i #s(literal 0 binary64))))
(+.f64 (cosh.f64 (log.f64 (*.f64 #s(literal -2 binary64) i))) (sinh.f64 (log.f64 (*.f64 #s(literal -2 binary64) i))))
(+.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) i)) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) i)) #s(literal 3 binary64))))
(+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 i #s(literal 3 binary64)))
(+.f64 (*.f64 (neg.f64 i) i) (*.f64 (neg.f64 i) i))
(+.f64 (neg.f64 i) (neg.f64 i))
(+.f64 (*.f64 i i) (fma.f64 i i (*.f64 #s(literal -2 binary64) i)))
(+.f64 (*.f64 i i) (*.f64 i i))
(+.f64 (*.f64 #s(literal -2 binary64) i) (*.f64 (+.f64 i #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) i)))
(+.f64 (*.f64 #s(literal -2 binary64) i) (*.f64 (-.f64 i #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) i)))
(+.f64 (*.f64 #s(literal -2 binary64) i) (*.f64 (*.f64 #s(literal -2 binary64) i) (+.f64 i #s(literal 1 binary64))))
(+.f64 (*.f64 #s(literal -2 binary64) i) (*.f64 (*.f64 #s(literal -2 binary64) i) (-.f64 i #s(literal 1 binary64))))
(+.f64 (*.f64 #s(literal -2 binary64) i) (*.f64 #s(literal -2 binary64) i))
(+.f64 i i)
(neg.f64 i)

eval257.0ms (4.9%)

Memory
-5.2MiB live, 415.3MiB allocated; 63ms collecting garbage
Compiler

Compiled 60 497 to 4 708 computations (92.2% saved)

prune73.0ms (1.4%)

Memory
-12.1MiB live, 98.4MiB allocated; 7ms collecting garbage
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1 71221 714
Fresh112
Picked235
Done000
Total1 71561 721
Accuracy
100.0%
Counts
1 721 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶71.9%
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
▶71.9%
(*.f64 (*.f64 i i) (/.f64 (*.f64 (/.f64 i (*.f64 i #s(literal 4 binary64))) (/.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
✓52.1%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
▶48.3%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
✓48.1%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
✓52.4%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Compiler

Compiled 174 to 85 computations (51.1% saved)

simplify118.0ms (2.3%)

Memory
7.7MiB live, 139.6MiB allocated; 17ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 1/4 binary64) i)
cost-diff0
(*.f64 (*.f64 #s(literal 1/4 binary64) i) i)
cost-diff0
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))
cost-diff0
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
cost-diff0
(*.f64 (*.f64 i i) (/.f64 (*.f64 (/.f64 i (*.f64 i #s(literal 4 binary64))) (/.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
cost-diff2
(/.f64 i i)
cost-diff2
(*.f64 (/.f64 i (*.f64 i #s(literal 4 binary64))) (/.f64 i i))
cost-diff4
(/.f64 i (*.f64 i #s(literal 4 binary64)))
cost-diff0
(fma.f64 i i #s(literal 1/4 binary64))
cost-diff0
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)
cost-diff0
(*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
cost-diff0
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031196
049158
1124133
2555133
33183133
09197133
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
(*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)
(fma.f64 i i #s(literal 1/4 binary64))
i
#s(literal 1/4 binary64)
(neg.f64 i)
(*.f64 (*.f64 i i) (/.f64 (*.f64 (/.f64 i (*.f64 i #s(literal 4 binary64))) (/.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
(*.f64 i i)
i
(/.f64 (*.f64 (/.f64 i (*.f64 i #s(literal 4 binary64))) (/.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))
(*.f64 (/.f64 i (*.f64 i #s(literal 4 binary64))) (/.f64 i i))
(/.f64 i (*.f64 i #s(literal 4 binary64)))
(*.f64 i #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 i i)
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))
(*.f64 (*.f64 #s(literal 1/4 binary64) i) i)
(*.f64 #s(literal 1/4 binary64) i)
#s(literal 1/4 binary64)
i
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
(*.f64 i i)
#s(literal 4 binary64)
#s(literal -1 binary64)
Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (*.f64 i i)))
(*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
(*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (*.f64 i i))
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)
(fma.f64 i i #s(literal 1/4 binary64))
i
#s(literal 1/4 binary64)
(neg.f64 i)
(*.f64 (*.f64 i i) (/.f64 (*.f64 (/.f64 i (*.f64 i #s(literal 4 binary64))) (/.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) i) i) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
(*.f64 i i)
i
(/.f64 (*.f64 (/.f64 i (*.f64 i #s(literal 4 binary64))) (/.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))
(/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
(*.f64 (/.f64 i (*.f64 i #s(literal 4 binary64))) (/.f64 i i))
#s(literal 1/4 binary64)
(/.f64 i (*.f64 i #s(literal 4 binary64)))
#s(literal 1/4 binary64)
(*.f64 i #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) i)
#s(literal 4 binary64)
(/.f64 i i)
#s(literal 1 binary64)
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))
(*.f64 (*.f64 #s(literal 1/4 binary64) i) i)
(*.f64 #s(literal 1/4 binary64) i)
#s(literal 1/4 binary64)
i
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))
(*.f64 i i)
#s(literal 4 binary64)
#s(literal -1 binary64)

localize85.0ms (1.6%)

Memory
-2.4MiB live, 52.5MiB allocated; 8ms collecting garbage
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 i i)
accuracy0.0
(*.f64 #s(literal 1/4 binary64) i)
accuracy0.0
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))
accuracy17.44318545958515
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
accuracy0.0
(*.f64 i #s(literal 4 binary64))
accuracy0.15672435587535288
(/.f64 (*.f64 (/.f64 i (*.f64 i #s(literal 4 binary64))) (/.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))
accuracy0.24217096543311645
(/.f64 i (*.f64 i #s(literal 4 binary64)))
accuracy17.505679978887247
(*.f64 (*.f64 i i) (/.f64 (*.f64 (/.f64 i (*.f64 i #s(literal 4 binary64))) (/.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
accuracy0.0
(neg.f64 i)
accuracy0.04296875
(*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
accuracy0.0546875
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)
accuracy33.11041794199978
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
Samples
44.0ms256×0valid
Compiler

Compiled 184 to 32 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-mult: 17.0ms (53.1% of total)
ival-div: 8.0ms (25% of total)
ival-add: 3.0ms (9.4% of total)
ival-sub: 1.0ms (3.1% of total)
exact: 1.0ms (3.1% of total)
ival-neg: 1.0ms (3.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
10.8MiB live, 10.8MiB allocated; 0ms collecting garbage
Counts
16 → 30
Calls
Call 1
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
(*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)
(fma.f64 i i #s(literal 1/4 binary64))
(/.f64 i (*.f64 i #s(literal 4 binary64)))
(*.f64 (/.f64 i (*.f64 i #s(literal 4 binary64))) (/.f64 i i))
(/.f64 i i)
(*.f64 (*.f64 i i) (/.f64 (*.f64 (/.f64 i (*.f64 i #s(literal 4 binary64))) (/.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))
(*.f64 (*.f64 #s(literal 1/4 binary64) i) i)
(*.f64 #s(literal 1/4 binary64) i)
(neg.f64 i)
(/.f64 (*.f64 (/.f64 i (*.f64 i #s(literal 4 binary64))) (/.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))
(*.f64 i #s(literal 4 binary64))
(*.f64 i i)
Outputs
(* -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))
(* 1/4 i)
(* i (+ 1/4 (pow i 2)))
1/4
(+ 1/4 (pow i 2))
1
(* 1/4 (pow i 2))
(* -1 i)
-1/4
(- (* -1 (pow i 2)) 1/4)
(- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)
(- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)
(* 4 i)
(pow i 2)
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 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(pow i 3)
(* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(/ 1/16 (pow i 2))
(/ (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (pow i 2))
(/ (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) (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))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
i
@-inf
((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* (+ (* i i) 1/4) i) (neg i)) (* (+ (* i i) 1/4) i) (+ (* i i) 1/4) (/ i (* i 4)) (* (/ i (* i 4)) (/ i i)) (/ i i) (* (* i i) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 4 (* i i)) -1))) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ (* (* i i) 4) -1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* 1/4 i) i) (* 1/4 i) (neg i) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 4 (* i i)) -1)) (* i 4) (* i i))
2.0ms
i
@inf
((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* (+ (* i i) 1/4) i) (neg i)) (* (+ (* i i) 1/4) i) (+ (* i i) 1/4) (/ i (* i 4)) (* (/ i (* i 4)) (/ i i)) (/ i i) (* (* i i) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 4 (* i i)) -1))) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ (* (* i i) 4) -1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* 1/4 i) i) (* 1/4 i) (neg i) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 4 (* i i)) -1)) (* i 4) (* i i))
1.0ms
i
@0
((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* (+ (* i i) 1/4) i) (neg i)) (* (+ (* i i) 1/4) i) (+ (* i i) 1/4) (/ i (* i 4)) (* (/ i (* i 4)) (/ i i)) (/ i i) (* (* i i) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 4 (* i i)) -1))) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ (* (* i i) 4) -1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* 1/4 i) i) (* 1/4 i) (neg i) (/ (* (/ i (* i 4)) (/ i i)) (+ (* 4 (* i i)) -1)) (* i 4) (* i i))

simplify152.0ms (2.9%)

Memory
8.4MiB live, 134.1MiB allocated; 23ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063251
1153251
2434250
31735248
46591248
08483243
Stop Event
1×iter limit
1×node limit
Counts
30 → 30
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))
(* 1/4 i)
(* i (+ 1/4 (pow i 2)))
1/4
(+ 1/4 (pow i 2))
1
(* 1/4 (pow i 2))
(* -1 i)
-1/4
(- (* -1 (pow i 2)) 1/4)
(- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)
(- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)
(* 4 i)
(pow i 2)
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 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(pow i 3)
(* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(/ 1/16 (pow i 2))
(/ (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (pow i 2))
(/ (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) (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))
Outputs
(* -1/4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal -1/4 binary64))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 1 binary64)) i) i) #s(literal 1/4 binary64)) (*.f64 i i))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -16 binary64) (*.f64 i i)) #s(literal 4 binary64)) i) i) #s(literal 1 binary64)) (*.f64 i i)) #s(literal 1/4 binary64)) (*.f64 i i))
(* 1/4 i)
(*.f64 #s(literal 1/4 binary64) i)
(* i (+ 1/4 (pow i 2)))
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)
1/4
#s(literal 1/4 binary64)
(+ 1/4 (pow i 2))
(fma.f64 i i #s(literal 1/4 binary64))
1
#s(literal 1 binary64)
(* 1/4 (pow i 2))
(*.f64 (*.f64 #s(literal 1/4 binary64) i) i)
(* -1 i)
(neg.f64 i)
-1/4
#s(literal -1/4 binary64)
(- (* -1 (pow i 2)) 1/4)
(-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64))
(- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 1 binary64)) i) i) #s(literal 1/4 binary64))
(- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)
(-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -16 binary64) (*.f64 i i)) #s(literal 4 binary64)) i) i) #s(literal 1 binary64)) (*.f64 i i)) #s(literal 1/4 binary64))
(* 4 i)
(*.f64 #s(literal 4 binary64) i)
(pow i 2)
(*.f64 i i)
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(-.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #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))) (* 1/1024 (/ 1 (pow i 6))))))
(-.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/1024 binary64) (pow.f64 i #s(literal 6 binary64)))) (-.f64 (/.f64 #s(literal -1/64 binary64) (*.f64 i i)) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64)))))
(* -1 (pow i 4))
(neg.f64 (pow.f64 i #s(literal 4 binary64)))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) i) i (pow.f64 i #s(literal 4 binary64))))
(pow i 3)
(pow.f64 i #s(literal 3 binary64))
(* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)
(* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(fma.f64 i i #s(literal 1/4 binary64))
(/ 1/16 (pow i 2))
(/.f64 #s(literal 1/16 binary64) (*.f64 i i))
(/ (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (pow i 2))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) i) i)
(/ (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) (pow i 2))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/64 binary64) (*.f64 i i))) (*.f64 i i))
(/ (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) (pow i 2))
(/.f64 (-.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/1024 binary64) (pow.f64 i #s(literal 6 binary64)))) (-.f64 (/.f64 #s(literal -1/64 binary64) (*.f64 i i)) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))))) (*.f64 i i))

rewrite108.0ms (2.1%)

Memory
-31.2MiB live, 43.4MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031172
049110
1204109
01073109
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
16 → 181
Calls
Call 1
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
(*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)
(fma.f64 i i #s(literal 1/4 binary64))
(/.f64 i (*.f64 i #s(literal 4 binary64)))
(*.f64 (/.f64 i (*.f64 i #s(literal 4 binary64))) (/.f64 i i))
(/.f64 i i)
(*.f64 (*.f64 i i) (/.f64 (*.f64 (/.f64 i (*.f64 i #s(literal 4 binary64))) (/.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))
(*.f64 (*.f64 #s(literal 1/4 binary64) i) i)
(*.f64 #s(literal 1/4 binary64) i)
(neg.f64 i)
(/.f64 (*.f64 (/.f64 i (*.f64 i #s(literal 4 binary64))) (/.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))
(*.f64 i #s(literal 4 binary64))
(*.f64 i i)
Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (neg.f64 i) i) (fma.f64 i i #s(literal 1/4 binary64))))
(*.f64 (*.f64 (neg.f64 i) (fma.f64 i i #s(literal 1/4 binary64))) i)
(*.f64 (neg.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)) i)
(*.f64 (*.f64 (neg.f64 i) i) (fma.f64 i i #s(literal 1/4 binary64)))
(*.f64 (neg.f64 i) (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i))
(*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i))
(*.f64 i (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (neg.f64 i)))
(/.f64 (*.f64 (-.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (neg.f64 i) i)) (-.f64 (*.f64 i i) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 6 binary64))) (*.f64 (neg.f64 i) i)) (-.f64 (+.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)))
(neg.f64 (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) i))
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)
(*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)) i) (-.f64 (*.f64 i i) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 6 binary64))) i) (-.f64 (+.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)))
(/.f64 (*.f64 i (-.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64))) (-.f64 (*.f64 i i) #s(literal 1/4 binary64)))
(/.f64 (*.f64 i (+.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 6 binary64)))) (-.f64 (+.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)))
(fma.f64 (*.f64 i (fabs.f64 i)) (fabs.f64 i) (*.f64 #s(literal 1/4 binary64) i))
(fma.f64 (*.f64 (neg.f64 i) i) (neg.f64 i) (*.f64 #s(literal 1/4 binary64) i))
(fma.f64 (fabs.f64 i) (*.f64 (fabs.f64 i) i) (*.f64 #s(literal 1/4 binary64) i))
(fma.f64 (*.f64 i i) i (*.f64 #s(literal 1/4 binary64) i))
(fma.f64 (neg.f64 i) (*.f64 (neg.f64 i) i) (*.f64 #s(literal 1/4 binary64) i))
(fma.f64 #s(literal 1/4 binary64) i (pow.f64 i #s(literal 3 binary64)))
(fma.f64 i (*.f64 i i) (*.f64 #s(literal 1/4 binary64) i))
(fma.f64 i #s(literal 1/4 binary64) (pow.f64 i #s(literal 3 binary64)))
(+.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal 1/4 binary64) i))
(+.f64 (*.f64 #s(literal 1/4 binary64) i) (pow.f64 i #s(literal 3 binary64)))
(/.f64 (-.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 i i)))
(/.f64 (neg.f64 (-.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64))) (neg.f64 (-.f64 (*.f64 i i) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 6 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))))
(/.f64 (-.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)) (-.f64 (*.f64 i i) #s(literal 1/4 binary64)))
(/.f64 (+.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 6 binary64))) (+.f64 #s(literal 1/16 binary64) (-.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))))
(/.f64 (+.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)))
(fma.f64 (pow.f64 i #s(literal 1 binary64)) (pow.f64 i #s(literal 1 binary64)) #s(literal 1/4 binary64))
(fma.f64 (neg.f64 (fabs.f64 i)) (neg.f64 (fabs.f64 i)) #s(literal 1/4 binary64))
(fma.f64 (neg.f64 (neg.f64 i)) (neg.f64 (neg.f64 i)) #s(literal 1/4 binary64))
(fma.f64 (fabs.f64 (fabs.f64 i)) (fabs.f64 (fabs.f64 i)) #s(literal 1/4 binary64))
(fma.f64 (fabs.f64 i) (fabs.f64 i) #s(literal 1/4 binary64))
(fma.f64 (neg.f64 i) (neg.f64 i) #s(literal 1/4 binary64))
(fma.f64 i i #s(literal 1/4 binary64))
(-.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) (-.f64 (*.f64 i i) #s(literal 1/4 binary64))) (/.f64 #s(literal 1/16 binary64) (-.f64 (*.f64 i i) #s(literal 1/4 binary64))))
(-.f64 #s(literal 1/4 binary64) (*.f64 (neg.f64 i) i))
(+.f64 (/.f64 (pow.f64 i #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))) (/.f64 #s(literal 1/64 binary64) (-.f64 (+.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))))
(+.f64 (*.f64 i i) #s(literal 1/4 binary64))
(+.f64 #s(literal 1/4 binary64) (*.f64 i i))
#s(literal 1/4 binary64)
#s(literal 1/4 binary64)
#s(literal 1 binary64)
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) i) i) (-.f64 (*.f64 #s(literal 64 binary64) (pow.f64 i #s(literal 6 binary64))) #s(literal 1 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) i) i) (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1 binary64))) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) i) i) (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 i i)))))
(*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (fabs.f64 i)) (fabs.f64 i))
(*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (neg.f64 i)) (neg.f64 i))
(*.f64 (/.f64 (*.f64 (/.f64 i #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 (*.f64 (/.f64 i #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))))
(*.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64))) (/.f64 i (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (neg.f64 i) i) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64))) (/.f64 (*.f64 (neg.f64 i) i) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))
(*.f64 (/.f64 i (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64))) (/.f64 (pow.f64 i #s(literal 3 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))
(*.f64 (pow.f64 i #s(literal 3 binary64)) (/.f64 i (*.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)))))
(*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) i) i)
(*.f64 (*.f64 (/.f64 i #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (/.f64 i #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))
(*.f64 (*.f64 (neg.f64 i) i) (/.f64 (*.f64 (neg.f64 i) i) (*.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)))))
(*.f64 (fabs.f64 i) (*.f64 (fabs.f64 i) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (*.f64 i i))
(*.f64 (*.f64 i i) (/.f64 (*.f64 i i) (*.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)))))
(*.f64 (*.f64 i i) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))
(*.f64 (neg.f64 i) (*.f64 (neg.f64 i) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 i i)))
(*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) i) i) (pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 i (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)))))
(*.f64 i (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) i))
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) i) i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) i) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))
(/.f64 (*.f64 (*.f64 i i) #s(literal -1/4 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))
(/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))
(/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) i) i) (neg.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) i) i) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
(/.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64))))
(neg.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal -1/4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))
(neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) i) i) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1 binary64))) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 i i)))))
(/.f64 (neg.f64 (neg.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)))) (neg.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))))
(/.f64 (neg.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
(neg.f64 (/.f64 (neg.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))
(neg.f64 (/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))
(*.f64 (*.f64 #s(literal 1/4 binary64) (fabs.f64 i)) (fabs.f64 i))
(*.f64 (*.f64 #s(literal 1/4 binary64) (neg.f64 i)) (neg.f64 i))
(*.f64 (/.f64 (*.f64 (neg.f64 i) i) (*.f64 (fabs.f64 i) #s(literal 2 binary64))) (/.f64 (*.f64 (neg.f64 i) i) (*.f64 (fabs.f64 i) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (neg.f64 i) i) (*.f64 i i)) (/.f64 (*.f64 (neg.f64 i) i) #s(literal 4 binary64)))
(*.f64 (/.f64 (*.f64 (neg.f64 i) i) #s(literal 4 binary64)) (/.f64 (*.f64 (neg.f64 i) i) (*.f64 i i)))
(*.f64 (/.f64 (*.f64 (neg.f64 i) i) (*.f64 #s(literal 2 binary64) i)) (/.f64 (*.f64 (neg.f64 i) i) (*.f64 #s(literal 2 binary64) i)))
(*.f64 (/.f64 (*.f64 (neg.f64 i) i) (*.f64 #s(literal 4 binary64) i)) (/.f64 (*.f64 (neg.f64 i) i) i))
(*.f64 (/.f64 (*.f64 i i) (*.f64 #s(literal -2 binary64) i)) (/.f64 (*.f64 i i) (*.f64 #s(literal -2 binary64) i)))
(*.f64 (/.f64 (*.f64 i i) (*.f64 (fabs.f64 i) #s(literal 2 binary64))) (/.f64 (*.f64 i i) (*.f64 (fabs.f64 i) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 i i) (*.f64 i i)) (/.f64 (*.f64 i i) #s(literal 4 binary64)))
(*.f64 (/.f64 (*.f64 i i) #s(literal 4 binary64)) (/.f64 (*.f64 i i) (*.f64 i i)))
(*.f64 (/.f64 (*.f64 i i) (*.f64 #s(literal 4 binary64) i)) (/.f64 (*.f64 i i) i))
(*.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) i)) (/.f64 i (*.f64 #s(literal -2 binary64) i)))
(*.f64 (/.f64 i (*.f64 #s(literal -2 binary64) i)) (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) i)))
(*.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 (fabs.f64 i) #s(literal 2 binary64))) (/.f64 i (*.f64 (fabs.f64 i) #s(literal 2 binary64))))
(*.f64 (/.f64 i (*.f64 (fabs.f64 i) #s(literal 2 binary64))) (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 (fabs.f64 i) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 4 binary64)) (/.f64 i (*.f64 i i)))
(*.f64 (/.f64 i (*.f64 i i)) (/.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 4 binary64)))
(*.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 i i)) (/.f64 i #s(literal 4 binary64)))
(*.f64 (/.f64 i #s(literal 4 binary64)) (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 i i)))
(*.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) i)) (/.f64 i (*.f64 #s(literal 2 binary64) i)))
(*.f64 (/.f64 i (*.f64 #s(literal 2 binary64) i)) (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) i)))
(*.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal 4 binary64) i)) #s(literal 1 binary64))
(*.f64 (/.f64 (*.f64 (neg.f64 i) i) #s(literal 2 binary64)) (/.f64 (*.f64 (neg.f64 i) i) (*.f64 (*.f64 i i) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (neg.f64 i) i) i) (/.f64 (*.f64 (neg.f64 i) i) (*.f64 #s(literal 4 binary64) i)))
(*.f64 (/.f64 (*.f64 i i) #s(literal 2 binary64)) (/.f64 (*.f64 i i) (*.f64 (*.f64 i i) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 i i) i) (/.f64 (*.f64 i i) (*.f64 #s(literal 4 binary64) i)))
(*.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) i) #s(literal 1/4 binary64))
(*.f64 (/.f64 i #s(literal 2 binary64)) (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 (*.f64 i i) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 2 binary64)) (/.f64 i (*.f64 (*.f64 i i) #s(literal 2 binary64))))
(*.f64 (neg.f64 (*.f64 (/.f64 i #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (/.f64 i #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (fabs.f64 (*.f64 (/.f64 i #s(literal 2 binary64)) #s(literal 1 binary64))) (fabs.f64 (*.f64 (/.f64 i #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 i #s(literal 3 binary64)) (/.f64 i (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 i #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 i #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 i) i) (/.f64 (*.f64 (neg.f64 i) i) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64))))
(*.f64 (fabs.f64 i) (*.f64 (fabs.f64 i) #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal 1/4 binary64) i) i)
(*.f64 (*.f64 i i) #s(literal 1/4 binary64))
(*.f64 (neg.f64 i) (*.f64 (neg.f64 i) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 i #s(literal 3 binary64)) i))
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal 4 binary64) i)))
(*.f64 i (/.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64))))
(*.f64 i (*.f64 #s(literal 1/4 binary64) i))
(pow.f64 (*.f64 (/.f64 i #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) i)
(/.f64 (/.f64 (*.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) i) #s(literal 2 binary64))
(/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) i)) (*.f64 #s(literal -2 binary64) i))
(/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 (fabs.f64 i) #s(literal 2 binary64))) (*.f64 (fabs.f64 i) #s(literal 2 binary64)))
(/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 i i)) #s(literal 4 binary64))
(/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) i)) i)
(/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 i i))
(/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 i i) #s(literal 2 binary64)))
(/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) i) (*.f64 #s(literal 4 binary64) i))
(/.f64 (*.f64 (*.f64 (/.f64 i #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 i i)) (*.f64 #s(literal 2 binary64) i))
(/.f64 (neg.f64 (*.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) i))
(/.f64 (*.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) i))
(/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 i i)))
(/.f64 (pow.f64 i #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)))
(neg.f64 (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(*.f64 #s(literal 1/4 binary64) i)
(*.f64 i #s(literal 1/4 binary64))
(neg.f64 i)
(*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1 binary64))) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 i i)))))
(*.f64 (pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))
(/.f64 #s(literal 1/4 binary64) (neg.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))))
(/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))
(*.f64 #s(literal 4 binary64) i)
(*.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) i))
(*.f64 i #s(literal 4 binary64))
(*.f64 (pow.f64 i #s(literal 1 binary64)) (pow.f64 i #s(literal 1 binary64)))
(*.f64 (neg.f64 (fabs.f64 i)) (neg.f64 (fabs.f64 i)))
(*.f64 (neg.f64 (neg.f64 i)) (neg.f64 (neg.f64 i)))
(*.f64 (fabs.f64 (fabs.f64 i)) (fabs.f64 (fabs.f64 i)))
(*.f64 (fabs.f64 i) (fabs.f64 i))
(*.f64 (neg.f64 i) (neg.f64 i))
(*.f64 i i)
(pow.f64 (fabs.f64 i) #s(literal 2 binary64))
(pow.f64 (neg.f64 i) #s(literal 2 binary64))
(pow.f64 i #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 i) i))
(sqrt.f64 (pow.f64 i #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 i) i))
(fabs.f64 (*.f64 i i))
(exp.f64 (*.f64 (log.f64 i) #s(literal 2 binary64)))

eval46.0ms (0.9%)

Memory
20.6MiB live, 64.1MiB allocated; 6ms collecting garbage
Compiler

Compiled 7 128 to 796 computations (88.8% saved)

prune8.0ms (0.2%)

Memory
-30.1MiB live, 16.5MiB allocated; 2ms collecting garbage
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New2381239
Fresh000
Picked213
Done033
Total2405245
Accuracy
100.0%
Counts
245 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶71.9%
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (*.f64 i i))
✓52.1%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
✓48.3%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
✓48.1%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
✓52.4%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Compiler

Compiled 138 to 66 computations (52.2% saved)

simplify11.0ms (0.2%)

Memory
13.0MiB live, 13.0MiB allocated; 0ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 i i)
cost-diff0
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
cost-diff0
(/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
cost-diff0
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (*.f64 i i))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0833
01333
12633
28133
321033
436133
546133
649333
049333
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (*.f64 i i))
(/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
#s(literal 1/4 binary64)
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
(*.f64 i i)
i
#s(literal 4 binary64)
#s(literal -1 binary64)
Outputs
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (*.f64 i i))
(*.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 i #s(literal 1/4 binary64)))
(/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
(/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))
#s(literal 1/4 binary64)
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(*.f64 i i)
i
#s(literal 4 binary64)
#s(literal -1 binary64)

localize21.0ms (0.4%)

Memory
19.6MiB live, 19.6MiB allocated; 0ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
accuracy0.0
(*.f64 i i)
accuracy0.15672435587535288
(/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
accuracy17.505679978887247
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (*.f64 i i))
Samples
14.0ms256×0valid
Compiler

Compiled 38 to 11 computations (71.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 5.0ms (61% of total)
ival-div: 2.0ms (24.4% of total)
ival-add: 1.0ms (12.2% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
2.6MiB live, 2.6MiB allocated; 0ms collecting garbage
Counts
4 → 21
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (*.f64 i i))
(/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
(*.f64 i i)
Outputs
(* -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))
-1/4
(- (* -1 (pow i 2)) 1/4)
(- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)
(- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)
-1
(- (* 4 (pow i 2)) 1)
(pow i 2)
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 (pow i 2))
(/ (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (pow i 2))
(/ (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) (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))
(* 4 (pow i 2))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
Calls

3 calls:

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

simplify104.0ms (2%)

Memory
-8.0MiB live, 90.5MiB allocated; 13ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052217
1100217
2249217
3801217
43248217
08176217
Stop Event
1×iter limit
1×node limit
Counts
21 → 21
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))
-1/4
(- (* -1 (pow i 2)) 1/4)
(- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)
(- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)
-1
(- (* 4 (pow i 2)) 1)
(pow i 2)
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 (pow i 2))
(/ (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (pow i 2))
(/ (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) (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))
(* 4 (pow i 2))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
Outputs
(* -1/4 (pow i 2))
(*.f64 (*.f64 #s(literal -1/4 binary64) i) i)
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 (*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) i) i)
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) i) i) #s(literal 1 binary64)) (*.f64 i i)) #s(literal 1/4 binary64)) (*.f64 i i))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -16 binary64) (*.f64 i i)) #s(literal 4 binary64)) i) i) #s(literal 1 binary64)) (*.f64 i i)) #s(literal 1/4 binary64)) (*.f64 i i))
-1/4
#s(literal -1/4 binary64)
(- (* -1 (pow i 2)) 1/4)
(-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64))
(- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)
(-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) i) i) #s(literal 1 binary64)) (*.f64 i i)) #s(literal 1/4 binary64))
(- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)
(-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -16 binary64) (*.f64 i i)) #s(literal 4 binary64)) i) i) #s(literal 1 binary64)) (*.f64 i i)) #s(literal 1/4 binary64))
-1
#s(literal -1 binary64)
(- (* 4 (pow i 2)) 1)
(-.f64 (*.f64 (*.f64 #s(literal 4 binary64) i) i) #s(literal 1 binary64))
(pow i 2)
(*.f64 i i)
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(-.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(-.f64 (-.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) (/.f64 #s(literal -1/1024 binary64) (pow.f64 i #s(literal 6 binary64))))
(/ 1/16 (pow i 2))
(/.f64 #s(literal 1/16 binary64) (*.f64 i i))
(/ (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (pow i 2))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) i) i)
(/ (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) (pow i 2))
(/.f64 (-.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) (*.f64 i i))
(/ (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) (pow i 2))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) (/.f64 #s(literal -1/1024 binary64) (pow.f64 i #s(literal 6 binary64)))) (*.f64 i i))
(* 4 (pow i 2))
(*.f64 (*.f64 #s(literal 4 binary64) i) i)
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))) i) i)

rewrite229.0ms (4.4%)

Memory
-10.1MiB live, 222.2MiB allocated; 30ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0829
01329
14629
226229
3235229
0888229
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 307
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (*.f64 i i))
(/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
(*.f64 i i)
Outputs
(*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal -1 binary64)))
(*.f64 (*.f64 i (/.f64 i (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))) #s(literal 1/4 binary64))
(*.f64 (*.f64 (*.f64 i i) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 i i) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 i #s(literal 1/4 binary64)) (/.f64 i (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 1 binary64)))) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal -1 binary64))))
(*.f64 (*.f64 (*.f64 i #s(literal 1/4 binary64)) (/.f64 i (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 1 binary64)))) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal -1 binary64)) (*.f64 i i)))
(*.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))) (*.f64 i i)))
(*.f64 (*.f64 i #s(literal 1/4 binary64)) (/.f64 i (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal -1 binary64))) i) i)
(*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal -1 binary64)) (*.f64 (*.f64 i i) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))))
(*.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))) (*.f64 (*.f64 i #s(literal 1/4 binary64)) (/.f64 i (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(literal -1/4 binary64) (*.f64 i (/.f64 i (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 i i))
(*.f64 (*.f64 i i) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal -1 binary64))))
(*.f64 i (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal -1 binary64))) i))
(*.f64 #s(literal 1/4 binary64) (*.f64 i (/.f64 i (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)) (*.f64 (*.f64 i #s(literal 1/4 binary64)) (/.f64 i (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 1 binary64))))) (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)) (*.f64 (*.f64 i #s(literal 1/4 binary64)) (/.f64 i (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 1 binary64)))))) (*.f64 (*.f64 (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) (*.f64 (*.f64 i #s(literal 1/4 binary64)) (/.f64 i (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 1 binary64))))) (*.f64 (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) (*.f64 (*.f64 i #s(literal 1/4 binary64)) (/.f64 i (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 1 binary64))))))) (-.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)) (*.f64 (*.f64 i #s(literal 1/4 binary64)) (/.f64 i (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 1 binary64))))) (*.f64 (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) (*.f64 (*.f64 i #s(literal 1/4 binary64)) (/.f64 i (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) (*.f64 (*.f64 i #s(literal 1/4 binary64)) (/.f64 i (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 1 binary64))))) (*.f64 (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) (*.f64 (*.f64 i #s(literal 1/4 binary64)) (/.f64 i (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 1 binary64)))))) (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)) (*.f64 (*.f64 i #s(literal 1/4 binary64)) (/.f64 i (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 1 binary64))))) (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)) (*.f64 (*.f64 i #s(literal 1/4 binary64)) (/.f64 i (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 1 binary64))))))) (-.f64 (*.f64 (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) (*.f64 (*.f64 i #s(literal 1/4 binary64)) (/.f64 i (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 1 binary64))))) (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)) (*.f64 (*.f64 i #s(literal 1/4 binary64)) (/.f64 i (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 i #s(literal 1/4 binary64)) (/.f64 i (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 1 binary64)))) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 i #s(literal 1/4 binary64)) (/.f64 i (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 1 binary64)))) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 i #s(literal 1/4 binary64)) (/.f64 i (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 1 binary64)))) (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)))) (*.f64 (*.f64 (*.f64 i #s(literal 1/4 binary64)) (/.f64 i (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 1 binary64)))) (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)))))) (-.f64 (*.f64 (*.f64 (*.f64 i #s(literal 1/4 binary64)) (/.f64 i (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 1 binary64)))) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 i #s(literal 1/4 binary64)) (/.f64 i (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 1 binary64)))) (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 i #s(literal 1/4 binary64)) (/.f64 i (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 1 binary64)))) (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)))) (*.f64 (*.f64 (*.f64 i #s(literal 1/4 binary64)) (/.f64 i (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 1 binary64)))) (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 i #s(literal 1/4 binary64)) (/.f64 i (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 1 binary64)))) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 i #s(literal 1/4 binary64)) (/.f64 i (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 1 binary64)))) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))))) (-.f64 (*.f64 (*.f64 (*.f64 i #s(literal 1/4 binary64)) (/.f64 i (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 1 binary64)))) (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)))) (*.f64 (*.f64 (*.f64 i #s(literal 1/4 binary64)) (/.f64 i (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 1 binary64)))) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)) (*.f64 (*.f64 i #s(literal 1/4 binary64)) (/.f64 i (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 1 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) (*.f64 (*.f64 i #s(literal 1/4 binary64)) (/.f64 i (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 1 binary64))))) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)) (*.f64 (*.f64 i #s(literal 1/4 binary64)) (/.f64 i (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 1 binary64))))) (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)) (*.f64 (*.f64 i #s(literal 1/4 binary64)) (/.f64 i (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 1 binary64))))) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) (*.f64 (*.f64 i #s(literal 1/4 binary64)) (/.f64 i (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 1 binary64))))) (*.f64 (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) (*.f64 (*.f64 i #s(literal 1/4 binary64)) (/.f64 i (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 1 binary64)))))) (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)) (*.f64 (*.f64 i #s(literal 1/4 binary64)) (/.f64 i (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 1 binary64))))) (*.f64 (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) (*.f64 (*.f64 i #s(literal 1/4 binary64)) (/.f64 i (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 1 binary64)))))))))
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(pow.f64 (*.f64 i i) #s(literal 1 binary64))
(pow.f64 i #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 i) #s(literal 2 binary64))) (cosh.f64 (*.f64 (log.f64 i) #s(literal 2 binary64)))) (*.f64 (sinh.f64 (*.f64 (log.f64 i) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 i) #s(literal 2 binary64))))) (-.f64 (cosh.f64 (*.f64 (log.f64 i) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 i) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 i) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 i) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (log.f64 i) #s(literal 2 binary64))) (cosh.f64 (*.f64 (log.f64 i) #s(literal 2 binary64))) (-.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 i) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 i) #s(literal 2 binary64)))) (*.f64 (cosh.f64 (*.f64 (log.f64 i) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 i) #s(literal 2 binary64)))))))
(neg.f64 (*.f64 i i))
(sqrt.f64 (pow.f64 i #s(literal 4 binary64)))
(fabs.f64 (*.f64 i i))
(exp.f64 (/.f64 (fma.f64 (log.f64 i) #s(literal 2 binary64) (*.f64 (log.f64 i) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 (*.f64 (log.f64 i) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 i) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 i) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 i) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 i) #s(literal 2 binary64))))

eval77.0ms (1.5%)

Memory
-1.9MiB live, 90.5MiB allocated; 6ms collecting garbage
Compiler

Compiled 11 969 to 1 350 computations (88.7% saved)

prune8.0ms (0.2%)

Memory
14.8MiB live, 14.8MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New3460346
Fresh000
Picked011
Done044
Total3465351
Accuracy
100.0%
Counts
351 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓71.9%
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (*.f64 i i))
✓52.1%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
✓48.3%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
✓48.1%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
✓52.4%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Compiler

Compiled 459 to 130 computations (71.7% saved)

regimes7.0ms (0.1%)

Memory
4.6MiB live, 4.6MiB allocated; 0ms collecting garbage
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (*.f64 i i))
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 1 binary64)) i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
(*.f64 (*.f64 i i) (/.f64 (*.f64 (/.f64 i (*.f64 i #s(literal 4 binary64))) (/.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Outputs
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (*.f64 i i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Calls

2 calls:

3.0ms
i
3.0ms
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
76.9%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)))
100.0%2i
Compiler

Compiled 26 to 11 computations (57.7% saved)

regimes2.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated; 0ms collecting garbage
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
Calls

1 calls:

2.0ms
i
Results
AccuracySegmentsBranch
99.2%2i
Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated; 0ms collecting garbage
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Calls

1 calls:

2.0ms
i
Results
AccuracySegmentsBranch
98.9%2i
Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated; 0ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Calls

1 calls:

1.0ms
i
Results
AccuracySegmentsBranch
98.8%2i
Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory
2.6MiB live, 2.6MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

1.0ms
i
1.0ms
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
52.4%1(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
52.4%1i
Compiler

Compiled 26 to 11 computations (57.7% saved)

bsearch4.0ms (0.1%)

Memory
1.5MiB live, 1.5MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
3.0ms
46050.14385401915
20820147944.195053
Samples
2.0ms32×0valid
Compiler

Compiled 106 to 58 computations (45.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-mult: 1.0ms (80.1% of total)
ival-sub: 0.0ms (0% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch15.0ms (0.3%)

Memory
5.4MiB live, 5.4MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
0.009782757055989551
2.6113446802677305
Samples
8.0ms128×0valid
Compiler

Compiled 572 to 286 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (59.2% of total)
ival-sub: 1.0ms (19.7% of total)
ival-div: 1.0ms (19.7% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
0.009782757055989551
2.6113446802677305
Compiler

Compiled 524 to 254 computations (51.5% saved)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
0.009782757055989551
2.6113446802677305
Compiler

Compiled 492 to 238 computations (51.6% saved)

simplify47.0ms (0.9%)

Memory
-25.3MiB live, 32.2MiB allocated; 5ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040270
182254
2422222
33214222
Stop Event
1×node limit
Calls
Call 1
Inputs
(if (<=.f64 i #s(literal 50000000 binary64)) (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (*.f64 i i)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Outputs
(if (<=.f64 i #s(literal 50000000 binary64)) (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (*.f64 i i)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

derivations503.0ms (9.7%)

Memory
-6.1MiB live, 418.5MiB allocated; 54ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01066
01750
17944
066142
050126
195126
2209126
3495126
41135126
51599126
61870126
72048126
82062126
92062126
102062126
112488126
123407126
133413126
143439126
153803126
164501126
175100126
185965126
08014124
031172
049110
1204109
01073109
064191
1150191
2418179
31601179
44422179
57683179
08257179
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 270 to 40 computations (85.2% saved)

preprocess42.0ms (0.8%)

Memory
15.8MiB live, 61.3MiB allocated; 3ms collecting garbage
Remove

(abs i)

Compiler

Compiled 676 to 144 computations (78.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

Loading profile data...