Octave 3.8, jcobi/4, as called

Time bar (total: 7.1s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze40.0ms (0.6%)

Memory
-33.8MiB live, 3.2MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
0%0%50%50%0%0%0%1
50%25%25%50%0%0%0%2
50%25%25%50%0%0%0%3
75%37.5%12.5%50%0%0%0%4
87.5%43.7%6.2%50%0%0%0%5
93.8%46.9%3.1%50%0%0%0%6
96.9%48.4%1.6%50%0%0%0%7
98.4%49.2%0.8%50%0%0%0%8
99.2%49.6%0.4%50%0%0%0%9
99.6%49.8%0.2%50%0%0%0%10
99.8%49.9%0.1%50%0%0%0%11
99.9%49.9%0%50%0%0%0%12
Compiler

Compiled 29 to 13 computations (55.2% saved)

sample2.1s (29.1%)

Memory
29.6MiB live, 886.0MiB allocated
Samples
1.7s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.4s
ival-mult: 1.0s (72.6% of total)
ival-div: 231.0ms (16% of total)
ival->: 109.0ms (7.6% of total)
ival-sub: 37.0ms (2.6% of total)
exact: 14.0ms (1% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain278.0ms (3.9%)

Memory
4.4MiB live, 249.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1810-1(1.784524812427093e-80)(/.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))overflow103
(*.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/o700
(*.f64 (*.f64 i i) (*.f64 i i))overflow103
(*.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)))overflow70
(*.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/u520
(*.f64 (*.f64 i i) (*.f64 i i))underflow77
(*.f64 i i)underflow104
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))underflow52
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))o/n310
(*.f64 (*.f64 i i) (*.f64 i i))overflow103
(*.f64 i i)overflow144
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))u/n250
(*.f64 (*.f64 i i) (*.f64 i i))underflow77
(*.f64 i i)underflow104
/.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)))n/o20
(-.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
Confusion
Predicted +Predicted -
+1801
-075
Precision
1.0
Recall
0.994475138121547
Confusion?
Predicted +Predicted MaybePredicted -
+18001
-0075
Precision?
1.0
Recall?
0.994475138121547
Freqs
test
numberfreq
076
1108
272
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
35.0ms512×0valid
Compiler

Compiled 173 to 34 computations (80.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 12.0ms (58% of total)
ival-div: 6.0ms (29% of total)
ival-sub: 2.0ms (9.7% of total)
exact: 1.0ms (4.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess178.0ms (2.5%)

Memory
-6.3MiB live, 174.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01243
15543
235026
3286226
4776626
01025
01721
14519
218713
3106013
4364911
5538811
6740111
0802210
Stop Event
iter limit
node limit
iter limit
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 i (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64))) i)
Symmetry

(abs i)

Compiler

Compiled 25 to 10 computations (60% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.0%
(/.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)))
Compiler

Compiled 25 to 10 computations (60% saved)

simplify357.0ms (5%)

Memory
4.4MiB live, 157.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff2
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
cost-diff2
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
cost-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
14556
218742
3106042
4364940
5538840
6740140
0802238
Stop Event
iter limit
node limit
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 i (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64))) i)
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
(*.f64 (*.f64 #s(literal 1/4 binary64) 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)

localize25.0ms (0.4%)

Memory
3.0MiB live, 41.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.006191259768442017
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
accuracy0.125
(*.f64 (*.f64 i i) (*.f64 i i))
accuracy17.450893367847968
(/.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)))
accuracy40.11976945478982
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
Samples
18.0ms256×0valid
Compiler

Compiled 74 to 12 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 6.0ms (59.4% of total)
ival-div: 3.0ms (29.7% of total)
ival-sub: 1.0ms (9.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
9.9MiB live, 9.9MiB allocated
Counts
5 → 14
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 (*.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 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
(* 1/4 (pow i 2))
(pow i 4)
(* -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))
(* 4 (pow i 2))
-1
(- (* 4 (pow i 2)) 1)
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
Calls

3 calls:

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

simplify234.0ms (3.3%)

Memory
-0.3MiB live, 234.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049123
194123
2218122
3510118
41090118
52132118
64138118
76263118
08099113
Stop Event
iter limit
node limit
Counts
14 → 14
Calls
Call 1
Inputs
(* 1/4 (pow i 2))
(pow i 4)
(* -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))
(* 4 (pow i 2))
-1
(- (* 4 (pow i 2)) 1)
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
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))
(* -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 (fma.f64 (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 4 binary64) i) i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(*.f64 (fma.f64 i i (fma.f64 (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal 4 binary64)) (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64))) (*.f64 (neg.f64 i) i))
(* 4 (pow i 2))
(*.f64 #s(literal 4 binary64) (*.f64 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))
1/16
#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 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (+.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))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))

rewrite162.0ms (2.3%)

Memory
-22.8MiB live, 212.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01063
01747
17541
265329
0877227
Stop Event
iter limit
node limit
iter limit
Counts
5 → 653
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 (*.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 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 binary64) (*.f64 #s(literal 1/4 binary64) i)) i)
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) i) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) i) #s(literal -2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) i) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) i) #s(literal 1 binary64)))
(*.f64 (neg.f64 (*.f64 (neg.f64 i) i)) #s(literal 1/4 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) i))
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (pow.f64 i #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 i #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) i) #s(literal -1 binary64)) (pow.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 i i)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) i) i) #s(literal 1/2 binary64))
(*.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/4 binary64)) (pow.f64 i #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 i #s(literal -2 binary64)))
(*.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) i) i)))
(*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 i i)) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(*.f64 (*.f64 i #s(literal -1/2 binary64)) (*.f64 i #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64))) (/.f64 i (*.f64 #s(literal -4 binary64) (*.f64 i i))))
(*.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64))) (*.f64 i (/.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(*.f64 (neg.f64 i) (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 i i))))
(*.f64 (neg.f64 i) (*.f64 (pow.f64 i #s(literal 3 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(*.f64 (/.f64 #s(literal 1/2 binary64) i) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal 1/4 binary64) i) (pow.f64 (*.f64 i (pow.f64 i #s(literal -4 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/4 binary64) i) (pow.f64 i #s(literal 3 binary64)))
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eval68.0ms (1%)

Memory
21.0MiB live, 179.3MiB allocated
Compiler

Compiled 16 920 to 1 794 computations (89.4% saved)

prune16.0ms (0.2%)

Memory
15.3MiB live, 52.4MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New6948702
Fresh000
Picked101
Done000
Total6958703
Accuracy
100.0%
Counts
703 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.0%
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
72.7%
(/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
71.8%
(/.f64 (*.f64 i i) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
71.5%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
56.5%
#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)))
43.8%
#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)))
43.5%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
56.6%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Compiler

Compiled 378 to 194 computations (48.7% saved)

simplify300.0ms (4.2%)

Memory
-17.4MiB live, 185.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff2
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
cost-diff2
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
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)))
cost-diff0
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
cost-diff0
(*.f64 i i)
cost-diff0
(/.f64 (*.f64 i i) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
cost-diff2
(*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 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)))
cost-diff0
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
cost-diff0
(*.f64 i i)
cost-diff0
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
cost-diff2
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
cost-diff3
(/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036234
059208
1128190
2399178
31657172
44006172
57163172
08218165
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
#s(literal 1/4 binary64)
(*.f64 i i)
i
(fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))
#s(literal 2 binary64)
#s(literal -1 binary64)
(fma.f64 #s(literal 2 binary64) i #s(literal 1 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 (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 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
(*.f64 i i)
i
(*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))
#s(literal 4 binary64)
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (fma.f64 (*.f64 #s(literal 4 binary64) i) 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)
(fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))
(*.f64 #s(literal 4 binary64) i)
#s(literal 4 binary64)
#s(literal -1 binary64)
Outputs
(/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(*.f64 (/.f64 i (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64))) i)
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
(*.f64 (/.f64 i (fma.f64 #s(literal 8 binary64) i #s(literal -4 binary64))) i)
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
#s(literal 1/4 binary64)
(*.f64 i i)
i
(fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))
#s(literal 2 binary64)
#s(literal -1 binary64)
(fma.f64 #s(literal 2 binary64) i #s(literal 1 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 (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 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
(*.f64 (/.f64 i (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64))) i)
(*.f64 i i)
i
(*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))
(fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64))
#s(literal 4 binary64)
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
(*.f64 (/.f64 i (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64))) 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)
(fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(*.f64 #s(literal 4 binary64) i)
#s(literal 4 binary64)
#s(literal -1 binary64)

localize70.0ms (1%)

Memory
-1.3MiB live, 111.8MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 #s(literal 2 binary64) i)
accuracy0.125
(*.f64 (*.f64 i i) (*.f64 i i))
accuracy17.450893367847968
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
accuracy40.11976945478982
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
accuracy0.0
(*.f64 i i)
accuracy0.0
(*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))
accuracy0.006191259768442017
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
accuracy17.45099795958515
(/.f64 (*.f64 i i) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
accuracy0.0
(neg.f64 i)
accuracy0.0390625
(*.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)
accuracy35.968092751676195
#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)))
accuracy27.76656974781389
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
accuracy0.0
(*.f64 i i)
accuracy0.015625
(/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
accuracy0.3990963177860566
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
accuracy16.30100217927562
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
Samples
49.0ms256×0valid
Compiler

Compiled 237 to 33 computations (86.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-mult: 17.0ms (49.1% of total)
ival-div: 9.0ms (26% of total)
ival-add: 6.0ms (17.3% of total)
ival-sub: 1.0ms (2.9% of total)
exact: 1.0ms (2.9% of total)
ival-neg: 1.0ms (2.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
14.4MiB live, 14.4MiB allocated
Counts
18 → 39
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(*.f64 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 (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 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))
(/.f64 (*.f64 i i) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
(fma.f64 #s(literal 4 binary64) (*.f64 i 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 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (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))
(neg.f64 i)
(*.f64 #s(literal 2 binary64) 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))
(* (pow i 2) (- (* -1/2 i) 1/4))
(* (pow i 2) (- (* i (- (* -1 i) 1/2)) 1/4))
(* (pow i 2) (- (* i (- (* i (- (* -2 i) 1)) 1/2)) 1/4))
(* 1/4 (pow i 2))
(pow i 2)
(* 1/4 i)
(* i (+ 1/4 (pow i 2)))
1/4
(+ 1/4 (pow i 2))
-4
(- (* 16 (pow i 2)) 4)
-1
(- (* 4 (pow i 2)) 1)
(pow i 4)
(* 4 (pow i 2))
(* -1 i)
(* 2 i)
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))))))
(* 1/8 i)
(* i (+ 1/8 (* 1/16 (/ 1 i))))
(* i (+ 1/8 (+ (/ 1/32 (pow i 2)) (* 1/16 (/ 1 i)))))
(* i (+ 1/8 (+ (/ 1/32 (pow i 2)) (+ (* 1/16 (/ 1 i)) (* 1/64 (/ 1 (pow i 3)))))))
(* -1 (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)))))
(* 16 (pow i 2))
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* -1 (* i (- (* -1 (/ (+ 1/16 (* 1/32 (/ 1 i))) i)) 1/8)))
(* -1 (* i (- (* -1 (/ (+ 1/16 (+ (/ 1/64 (pow i 2)) (* 1/32 (/ 1 i)))) i)) 1/8)))
Calls

3 calls:

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

simplify178.0ms (2.5%)

Memory
-5.9MiB live, 153.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0118308
1290308
2723297
32014287
47836287
08212266
Stop Event
iter limit
node limit
Counts
39 → 39
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))
(* (pow i 2) (- (* -1/2 i) 1/4))
(* (pow i 2) (- (* i (- (* -1 i) 1/2)) 1/4))
(* (pow i 2) (- (* i (- (* i (- (* -2 i) 1)) 1/2)) 1/4))
(* 1/4 (pow i 2))
(pow i 2)
(* 1/4 i)
(* i (+ 1/4 (pow i 2)))
1/4
(+ 1/4 (pow i 2))
-4
(- (* 16 (pow i 2)) 4)
-1
(- (* 4 (pow i 2)) 1)
(pow i 4)
(* 4 (pow i 2))
(* -1 i)
(* 2 i)
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))))))
(* 1/8 i)
(* i (+ 1/8 (* 1/16 (/ 1 i))))
(* i (+ 1/8 (+ (/ 1/32 (pow i 2)) (* 1/16 (/ 1 i)))))
(* i (+ 1/8 (+ (/ 1/32 (pow i 2)) (+ (* 1/16 (/ 1 i)) (* 1/64 (/ 1 (pow i 3)))))))
(* -1 (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)))))
(* 16 (pow i 2))
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* -1 (* i (- (* -1 (/ (+ 1/16 (* 1/32 (/ 1 i))) i)) 1/8)))
(* -1 (* i (- (* -1 (/ (+ 1/16 (+ (/ 1/64 (pow i 2)) (* 1/32 (/ 1 i)))) i)) 1/8)))
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 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(*.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -4 binary64) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 i i))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(*.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal -4 binary64)) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 i i))
(* (pow i 2) (- (* -1/2 i) 1/4))
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/4 binary64)) i) i)
(* (pow i 2) (- (* i (- (* -1 i) 1/2)) 1/4))
(*.f64 (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) i) i #s(literal -1/4 binary64)) i) i)
(* (pow i 2) (- (* i (- (* i (- (* -2 i) 1)) 1/2)) 1/4))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)) i #s(literal -1/2 binary64)) i #s(literal -1/4 binary64)) i) i)
(* 1/4 (pow i 2))
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(pow i 2)
(*.f64 i i)
(* 1/4 i)
(*.f64 #s(literal 1/4 binary64) i)
(* i (+ 1/4 (pow i 2)))
(fma.f64 #s(literal 1/4 binary64) i (pow.f64 i #s(literal 3 binary64)))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (pow i 2))
(fma.f64 i i #s(literal 1/4 binary64))
-4
#s(literal -4 binary64)
(- (* 16 (pow i 2)) 4)
(fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64))
-1
#s(literal -1 binary64)
(- (* 4 (pow i 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(pow i 4)
(pow.f64 i #s(literal 4 binary64))
(* 4 (pow i 2))
(*.f64 #s(literal 4 binary64) (*.f64 i i))
(* -1 i)
(neg.f64 i)
(* 2 i)
(*.f64 #s(literal 2 binary64) 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 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 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 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(* 1/8 i)
(*.f64 #s(literal 1/8 binary64) i)
(* i (+ 1/8 (* 1/16 (/ 1 i))))
(fma.f64 #s(literal 1/8 binary64) i #s(literal 1/16 binary64))
(* i (+ 1/8 (+ (/ 1/32 (pow i 2)) (* 1/16 (/ 1 i)))))
(fma.f64 #s(literal 1/8 binary64) i (+.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 1/16 binary64)))
(* i (+ 1/8 (+ (/ 1/32 (pow i 2)) (+ (* 1/16 (/ 1 i)) (* 1/64 (/ 1 (pow i 3)))))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 3 binary64))) #s(literal 1/8 binary64)) i (+.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 1/16 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 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)
(pow i 3)
(pow.f64 i #s(literal 3 binary64))
(* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(fma.f64 #s(literal 1/4 binary64) i (pow.f64 i #s(literal 3 binary64)))
(* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(fma.f64 i i #s(literal 1/4 binary64))
(* 16 (pow i 2))
(*.f64 #s(literal 16 binary64) (*.f64 i i))
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))
(fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(* -1 (* i (- (* -1 (/ (+ 1/16 (* 1/32 (/ 1 i))) i)) 1/8)))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 1/16 binary64)) i) #s(literal -1/8 binary64)) i)
(* -1 (* i (- (* -1 (/ (+ 1/16 (+ (/ 1/64 (pow i 2)) (* 1/32 (/ 1 i)))) i)) 1/8)))
(fma.f64 #s(literal 1/8 binary64) i (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 1/16 binary64)) i (/.f64 #s(literal 1/64 binary64) i)) i))

rewrite211.0ms (3%)

Memory
20.8MiB live, 253.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036196
059164
1241143
21665124
08735123
Stop Event
iter limit
node limit
iter limit
Counts
18 → 1 283
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(*.f64 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 (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 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))
(/.f64 (*.f64 i i) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
(fma.f64 #s(literal 4 binary64) (*.f64 i 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 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (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))
(neg.f64 i)
(*.f64 #s(literal 2 binary64) i)
Outputs
(*.f64 (pow.f64 (*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64))) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64))) #s(literal 4 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) i) (pow.f64 i #s(literal -4 binary64)))) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)) (pow.f64 i #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 i #s(literal 1/2 binary64)) #s(literal -2 binary64)) (pow.f64 i #s(literal -4 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -2 binary64)))
(*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) i)) #s(literal -1 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) i)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (pow.f64 i #s(literal -4 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 i i))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (pow.f64 i #s(literal -2 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)) (*.f64 (*.f64 i i) #s(literal 1/4 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (pow.f64 (*.f64 i #s(literal 1/2 binary64)) #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 2 binary64) i) (pow.f64 i #s(literal -2 binary64)))) (fma.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) i) i (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) (-.f64 (/.f64 #s(literal 2 binary64) i) (pow.f64 i #s(literal -2 binary64)))) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 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)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64))))
(*.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -2 binary64)))
(*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) i) #s(literal 1/2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)) #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 #s(literal -1/4 binary64) i) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64))) (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64))) (*.f64 i (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))))
(*.f64 (/.f64 (*.f64 i #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 (*.f64 i #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 i i)) (fma.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) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64))))
(*.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 i (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64)))) #s(literal 1/4 binary64))
(*.f64 (pow.f64 i #s(literal 3 binary64)) (/.f64 i (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 i i)))))
(*.f64 (/.f64 i (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64))) i)
(*.f64 (*.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) i) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) i (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 3 binary64)))))
(*.f64 (*.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) i) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) i))))
(*.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 i i) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64)) #s(literal -1 binary64)) (*.f64 i i))
(*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 2 binary64) i) (pow.f64 i #s(literal -2 binary64)))))
(*.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -2 binary64))))
(*.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 i #s(literal 1/4 binary64)))
(*.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 i #s(literal 1/2 binary64)) (/.f64 (*.f64 i #s(literal 1/2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
(*.f64 (*.f64 (neg.f64 i) i) (pow.f64 (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal 4 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1/4 binary64) (-.f64 (/.f64 #s(literal 2 binary64) i) (pow.f64 i #s(literal -2 binary64)))) (pow.f64 (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal 4 binary64)) (*.f64 i i))))
(*.f64 (pow.f64 i #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 i i))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 2 binary64) i) (pow.f64 i #s(literal -2 binary64)))) (pow.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64))))))
(*.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 i i) (/.f64 (*.f64 i i) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 i i)))))
(*.f64 (*.f64 i i) (pow.f64 (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64)) #s(literal -1 binary64)))
(*.f64 i (/.f64 (pow.f64 i #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 i i)))))
(*.f64 i (/.f64 i (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64))))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 i i) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64))) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64))))
(*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64)))))
(pow.f64 (*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64))) #s(literal 4 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) i) #s(literal 1/2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) (*.f64 #s(literal -2 binary64) i))
(/.f64 (neg.f64 (/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) (*.f64 #s(literal 4 binary64) (*.f64 i i)))
(/.f64 (neg.f64 (*.f64 i (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))) #s(literal -4 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64))))) #s(literal -4 binary64))
(/.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) (-.f64 (/.f64 #s(literal 2 binary64) i) (pow.f64 i #s(literal -2 binary64)))) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64))))
(/.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
(/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 i i)))
(/.f64 (/.f64 (*.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) i) #s(literal 1/2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) i))
(/.f64 (/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 i i)))
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(+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 2 binary64) i) (pow.f64 i #s(literal -2 binary64)))) (fma.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 i i))) (*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 2 binary64) i) (pow.f64 i #s(literal -2 binary64)))) (fma.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64))))
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) (-.f64 (/.f64 #s(literal 2 binary64) i) (pow.f64 i #s(literal -2 binary64)))) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) i)) (*.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) (-.f64 (/.f64 #s(literal 2 binary64) i) (pow.f64 i #s(literal -2 binary64)))) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) (-.f64 (/.f64 #s(literal 2 binary64) i) (pow.f64 i #s(literal -2 binary64)))) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) (-.f64 (/.f64 #s(literal 2 binary64) i) (pow.f64 i #s(literal -2 binary64)))) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) i)))
(+.f64 (*.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 i i))) (*.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 i i))))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 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)) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 i i))))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i 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 #s(literal -1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64))))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i 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 (neg.f64 (*.f64 #s(literal -4 binary64) i)) i)
(*.f64 (neg.f64 (neg.f64 i)) (*.f64 #s(literal 4 binary64) i))
(*.f64 (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) i))) (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) i))))
(*.f64 (*.f64 #s(literal -4 binary64) i) (neg.f64 i))
(*.f64 (*.f64 #s(literal -2 binary64) i) (*.f64 #s(literal -2 binary64) i))
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) i) #s(literal -1 binary64)))
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) i) i))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) i) #s(literal 2 binary64))
(*.f64 #s(literal -4 binary64) (*.f64 (*.f64 i i) #s(literal -1 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 (neg.f64 i) i))
(*.f64 (*.f64 (neg.f64 i) i) #s(literal -4 binary64))
(*.f64 (*.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal -1 binary64))
(*.f64 (*.f64 #s(literal 4 binary64) i) (neg.f64 (neg.f64 i)))
(*.f64 (*.f64 #s(literal 4 binary64) i) i)
(*.f64 (*.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(*.f64 #s(literal 4 binary64) (neg.f64 (*.f64 (*.f64 i i) #s(literal -1 binary64))))
(*.f64 #s(literal 4 binary64) (*.f64 i i))
(*.f64 (neg.f64 i) (*.f64 (*.f64 #s(literal 4 binary64) i) #s(literal -1 binary64)))
(*.f64 (neg.f64 i) (*.f64 #s(literal -4 binary64) i))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 i i)))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 i i)))
(*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) i) #s(literal -1 binary64))))
(*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (*.f64 #s(literal -2 binary64) i) i)))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) i) i))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
(*.f64 i (neg.f64 (*.f64 (*.f64 #s(literal 4 binary64) i) #s(literal -1 binary64))))
(*.f64 i (neg.f64 (*.f64 #s(literal -4 binary64) i)))
(*.f64 i (*.f64 #s(literal 4 binary64) i))
(pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) i))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -2 binary64)))
(neg.f64 (*.f64 #s(literal -4 binary64) (*.f64 i i)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -4 binary64) (*.f64 i i)))
(exp.f64 (fma.f64 (log.f64 i) #s(literal 2 binary64) (log.f64 #s(literal 4 binary64))))
(*.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 i i #s(literal 0 binary64))))
(*.f64 (*.f64 (neg.f64 i) i) (pow.f64 i #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) i)
(*.f64 i #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64)))) (neg.f64 (fma.f64 i i #s(literal 0 binary64))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 i) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 i i) (*.f64 #s(literal 0 binary64) (neg.f64 i)))))
(/.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64))) (fma.f64 i i #s(literal 0 binary64)))
(/.f64 (*.f64 (neg.f64 i) i) (-.f64 #s(literal 0 binary64) (neg.f64 i)))
(/.f64 (*.f64 (neg.f64 i) i) i)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 i i #s(literal 0 binary64)) (neg.f64 (pow.f64 i #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (neg.f64 i) i)))
(/.f64 (*.f64 i i) (neg.f64 i))
(neg.f64 i)
(-.f64 (/.f64 #s(literal 0 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 (/.f64 #s(literal 0 binary64) i) i)
(-.f64 #s(literal 0 binary64) i)
(+.f64 #s(literal 0 binary64) (neg.f64 i))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) i) #s(literal -1 binary64))
(*.f64 #s(literal -2 binary64) (neg.f64 i))
(*.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))
(*.f64 (neg.f64 i) #s(literal -2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) i))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) i))
(*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 i)))
(*.f64 #s(literal 2 binary64) i)
(*.f64 i #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))
(neg.f64 (*.f64 #s(literal -2 binary64) i))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) i))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))

eval121.0ms (1.7%)

Memory
12.9MiB live, 240.8MiB allocated
Compiler

Compiled 26 677 to 3 168 computations (88.1% saved)

prune37.0ms (0.5%)

Memory
-30.3MiB live, 59.1MiB allocated
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1 01231 015
Fresh123
Picked325
Done000
Total1 01671 023
Accuracy
100.0%
Counts
1 023 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.8%
(/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)))
71.9%
(/.f64 (*.f64 i i) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) i)) i #s(literal -4 binary64)))
43.8%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))))
56.5%
#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)))
43.8%
#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)))
43.5%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
56.6%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Compiler

Compiled 312 to 150 computations (51.9% saved)

simplify120.0ms (1.7%)

Memory
0.8MiB live, 196.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 i)
cost-diff0
(*.f64 (neg.f64 i) i)
cost-diff0
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))))
cost-diff4
(fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
cost-diff0
(fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))
cost-diff0
(*.f64 i i)
cost-diff0
(/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)))
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 i i)
cost-diff0
(*.f64 #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 #s(literal -1/4 binary64) (*.f64 i i)))
cost-diff0
(fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) i)) i #s(literal -4 binary64))
cost-diff0
(*.f64 i i)
cost-diff0
(/.f64 (*.f64 i i) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) i)) i #s(literal -4 binary64)))
cost-diff2
(*.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) i))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
032216
048192
1108186
2289166
31229157
43867157
55698157
08126157
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 i i) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) i)) i #s(literal -4 binary64)))
(*.f64 i i)
i
(fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) i)) i #s(literal -4 binary64))
(*.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) i))
#s(literal 4 binary64)
(*.f64 #s(literal 4 binary64) i)
#s(literal -4 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
#s(literal -1/4 binary64)
(*.f64 i i)
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)
(/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)))
(*.f64 i i)
i
(fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))
#s(literal 16 binary64)
#s(literal -4 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(*.f64 (neg.f64 i) i)
(neg.f64 i)
i
(*.f64 i i)
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
#s(literal -1/4 binary64)
Outputs
(/.f64 (*.f64 i i) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) i)) i #s(literal -4 binary64)))
(*.f64 (/.f64 i (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64))) i)
(*.f64 i i)
i
(fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) i)) i #s(literal -4 binary64))
(fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64))
(*.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) i))
(*.f64 #s(literal 16 binary64) i)
#s(literal 4 binary64)
(*.f64 #s(literal 4 binary64) i)
#s(literal -4 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
#s(literal -1/4 binary64)
(*.f64 i i)
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 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
#s(literal 1/64 binary64)
(*.f64 i i)
i
#s(literal 1/16 binary64)
(/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)))
(*.f64 (/.f64 i (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64))) i)
(*.f64 i i)
i
(fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))
(fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64))
#s(literal 16 binary64)
#s(literal -4 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i)))
(fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i))
(*.f64 (neg.f64 i) i)
(neg.f64 i)
i
(*.f64 i i)
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
#s(literal -1/4 binary64)

localize64.0ms (0.9%)

Memory
-5.3MiB live, 117.9MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(neg.f64 i)
accuracy0.0546875
(fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
accuracy0.3990963177860566
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
accuracy35.968092751676195
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))))
accuracy0.0
(*.f64 i i)
accuracy0.006191259768442017
(fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))
accuracy17.45099795958515
(/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)))
accuracy0.0
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
accuracy0.0
(*.f64 i i)
accuracy0.6473369678655685
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
accuracy27.81257072167599
#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 i i)
accuracy0.3990963177860566
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
accuracy36.14577809443516
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
accuracy0.0
(*.f64 i i)
accuracy0.0
(*.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) i))
accuracy0.0
(*.f64 #s(literal 4 binary64) i)
accuracy17.45099795958515
(/.f64 (*.f64 i i) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) i)) i #s(literal -4 binary64)))
Samples
47.0ms256×0valid
Compiler

Compiled 195 to 33 computations (83.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-mult: 15.0ms (46.7% of total)
ival-div: 7.0ms (21.8% of total)
ival-add: 4.0ms (12.5% of total)
ival-sub: 3.0ms (9.3% of total)
exact: 1.0ms (3.1% of total)
ival-neg: 1.0ms (3.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
17.3MiB live, 17.3MiB allocated
Counts
16 → 21
Calls
Call 1
Inputs
(*.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) i))
(/.f64 (*.f64 i i) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) i)) i #s(literal -4 binary64)))
(*.f64 i i)
(fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) i)) i #s(literal -4 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(*.f64 #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 #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 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)))
(fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))
(fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(*.f64 (neg.f64 i) i)
(neg.f64 i)
(*.f64 #s(literal 4 binary64) i)
Outputs
(* 16 i)
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(pow i 2)
-4
(- (* 16 (pow i 2)) 4)
(/ 1/64 (pow i 2))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(* -1 (pow i 2))
(* -1 i)
(* 4 i)
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))))))
(* 16 (pow i 2))
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
Calls

3 calls:

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

simplify155.0ms (2.2%)

Memory
2.8MiB live, 155.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062160
1132160
2317158
3778154
41903154
53469154
66853154
08358148
Stop Event
iter limit
node limit
Counts
21 → 21
Calls
Call 1
Inputs
(* 16 i)
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(pow i 2)
-4
(- (* 16 (pow i 2)) 4)
(/ 1/64 (pow i 2))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(* -1 (pow i 2))
(* -1 i)
(* 4 i)
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))))))
(* 16 (pow i 2))
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
Outputs
(* 16 i)
(*.f64 #s(literal 16 binary64) i)
(* -1/4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal -1/4 binary64))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(*.f64 (neg.f64 (fma.f64 (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 4 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 (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -16 binary64) (neg.f64 (fma.f64 (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 4 binary64) i) i #s(literal 1/4 binary64)))) (*.f64 i i))
(pow i 2)
(*.f64 i i)
-4
#s(literal -4 binary64)
(- (* 16 (pow i 2)) 4)
(fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(/.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 i i) #s(literal 1/64 binary64)) i) i)
(* -1 (pow i 2))
(*.f64 (neg.f64 i) i)
(* -1 i)
(neg.f64 i)
(* 4 i)
(*.f64 #s(literal 4 binary64) 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 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(* 16 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 16 binary64))
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))
(fma.f64 (*.f64 i i) #s(literal 16 binary64) #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 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i))

rewrite255.0ms (3.6%)

Memory
-32.2MiB live, 152.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032186
048156
1209150
21655136
08334131
Stop Event
iter limit
node limit
iter limit
Counts
16 → 348
Calls
Call 1
Inputs
(*.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) i))
(/.f64 (*.f64 i i) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) i)) i #s(literal -4 binary64)))
(*.f64 i i)
(fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) i)) i #s(literal -4 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(*.f64 #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 #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 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)))
(fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))
(fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(*.f64 (neg.f64 i) i)
(neg.f64 i)
(*.f64 #s(literal 4 binary64) i)
Outputs
(*.f64 (*.f64 i #s(literal 4 binary64)) #s(literal 4 binary64))
(*.f64 #s(literal 16 binary64) i)
(*.f64 i #s(literal 16 binary64))
(*.f64 #s(literal 4 binary64) (*.f64 i #s(literal 4 binary64)))
(*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64)) (pow.f64 i #s(literal -2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64)) (pow.f64 i #s(literal -2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.f64 i i) (fma.f64 #s(literal 256 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -16 binary64))) (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal 4 binary64)))
(*.f64 (/.f64 (*.f64 i i) (fma.f64 #s(literal 4096 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -64 binary64))) (fma.f64 #s(literal 256 binary64) (pow.f64 i #s(literal 4 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) #s(literal -64 binary64)))))
(*.f64 (/.f64 i (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64))) i)
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64)) (pow.f64 i #s(literal -2 binary64))))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 i) i) (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64))))
(*.f64 (pow.f64 (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64)) #s(literal -1 binary64)) (*.f64 i i))
(*.f64 (*.f64 (neg.f64 i) i) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64))))
(*.f64 (neg.f64 i) (/.f64 i (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 16 binary64) (*.f64 i i)))))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 i (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64))) i))
(*.f64 (*.f64 i i) (pow.f64 (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64)) #s(literal -1 binary64)))
(*.f64 i (/.f64 i (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64))))
(pow.f64 (*.f64 (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64)) (pow.f64 i #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64)) (pow.f64 i #s(literal -2 binary64)))))
(/.f64 (*.f64 (neg.f64 i) i) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 16 binary64) (*.f64 i i))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64)) (pow.f64 i #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64)) (pow.f64 i #s(literal -2 binary64))))
(/.f64 (*.f64 i i) (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64)))
(/.f64 i (/.f64 (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64)) i))
(neg.f64 (/.f64 (*.f64 (neg.f64 i) i) (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64))))
(fma.f64 (/.f64 (*.f64 i i) (fma.f64 #s(literal 256 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -16 binary64))) (*.f64 #s(literal 16 binary64) (*.f64 i i)) (*.f64 (/.f64 (*.f64 i i) (fma.f64 #s(literal 256 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -16 binary64))) #s(literal 4 binary64)))
(fma.f64 (/.f64 (*.f64 i i) (fma.f64 #s(literal 4096 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -64 binary64))) (*.f64 #s(literal 256 binary64) (pow.f64 i #s(literal 4 binary64))) (*.f64 (/.f64 (*.f64 i i) (fma.f64 #s(literal 4096 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -64 binary64))) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) #s(literal -64 binary64)))))
(fma.f64 (/.f64 (*.f64 i i) (fma.f64 #s(literal 4096 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -64 binary64))) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) #s(literal -64 binary64))) (*.f64 (/.f64 (*.f64 i i) (fma.f64 #s(literal 4096 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -64 binary64))) (*.f64 #s(literal 256 binary64) (pow.f64 i #s(literal 4 binary64)))))
(fma.f64 (*.f64 #s(literal 256 binary64) (pow.f64 i #s(literal 4 binary64))) (/.f64 (*.f64 i i) (fma.f64 #s(literal 4096 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -64 binary64))) (*.f64 (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) #s(literal -64 binary64))) (/.f64 (*.f64 i i) (fma.f64 #s(literal 4096 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -64 binary64)))))
(fma.f64 (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) #s(literal -64 binary64))) (/.f64 (*.f64 i i) (fma.f64 #s(literal 4096 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -64 binary64))) (*.f64 (*.f64 #s(literal 256 binary64) (pow.f64 i #s(literal 4 binary64))) (/.f64 (*.f64 i i) (fma.f64 #s(literal 4096 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -64 binary64)))))
(fma.f64 (*.f64 #s(literal 16 binary64) (*.f64 i i)) (/.f64 (*.f64 i i) (fma.f64 #s(literal 256 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -16 binary64))) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 i i) (fma.f64 #s(literal 256 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -16 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 16 binary64) (*.f64 i i)))) (/.f64 (*.f64 (neg.f64 i) i) (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (neg.f64 i) i) (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64)) (pow.f64 i #s(literal -2 binary64)))) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 i i)) (/.f64 (*.f64 i i) (fma.f64 #s(literal 256 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -16 binary64)))) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 i i) (fma.f64 #s(literal 256 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -16 binary64)))))
(+.f64 (*.f64 (*.f64 #s(literal 256 binary64) (pow.f64 i #s(literal 4 binary64))) (/.f64 (*.f64 i i) (fma.f64 #s(literal 4096 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -64 binary64)))) (*.f64 (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) #s(literal -64 binary64))) (/.f64 (*.f64 i i) (fma.f64 #s(literal 4096 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -64 binary64)))))
(+.f64 (*.f64 (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) #s(literal -64 binary64))) (/.f64 (*.f64 i i) (fma.f64 #s(literal 4096 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -64 binary64)))) (*.f64 (*.f64 #s(literal 256 binary64) (pow.f64 i #s(literal 4 binary64))) (/.f64 (*.f64 i i) (fma.f64 #s(literal 4096 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -64 binary64)))))
(+.f64 (*.f64 (/.f64 (*.f64 i i) (fma.f64 #s(literal 256 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -16 binary64))) (*.f64 #s(literal 16 binary64) (*.f64 i i))) (*.f64 (/.f64 (*.f64 i i) (fma.f64 #s(literal 256 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -16 binary64))) #s(literal 4 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 i i) (fma.f64 #s(literal 4096 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -64 binary64))) (*.f64 #s(literal 256 binary64) (pow.f64 i #s(literal 4 binary64)))) (*.f64 (/.f64 (*.f64 i i) (fma.f64 #s(literal 4096 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -64 binary64))) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) #s(literal -64 binary64)))))
(+.f64 (*.f64 (/.f64 (*.f64 i i) (fma.f64 #s(literal 4096 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -64 binary64))) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 i i) #s(literal -64 binary64)))) (*.f64 (/.f64 (*.f64 i i) (fma.f64 #s(literal 4096 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -64 binary64))) (*.f64 #s(literal 256 binary64) (pow.f64 i #s(literal 4 binary64)))))
(*.f64 (pow.f64 (*.f64 i i) #s(literal 1/2 binary64)) (pow.f64 (*.f64 i i) #s(literal 1/2 binary64)))
(*.f64 (exp.f64 (log.f64 i)) (exp.f64 (log.f64 i)))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 i) i))
(*.f64 (neg.f64 i) (neg.f64 i))
(*.f64 #s(literal 1 binary64) (*.f64 i i))
(*.f64 (*.f64 i i) #s(literal 1 binary64))
(*.f64 i i)
(pow.f64 (exp.f64 (log.f64 i)) #s(literal 2 binary64))
(pow.f64 (neg.f64 i) #s(literal 2 binary64))
(pow.f64 (*.f64 i i) #s(literal 1 binary64))
(pow.f64 i #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 i) i) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal -2 binary64)))
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(*.f64 #s(literal -1 binary64) (*.f64 i i))
(*.f64 (neg.f64 i) i)
(*.f64 i (neg.f64 i))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 i #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 i i)))))
(/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 i i)))
(neg.f64 (*.f64 i i))
(fma.f64 i #s(literal 0 binary64) (*.f64 (neg.f64 i) i))
(-.f64 #s(literal 0 binary64) (*.f64 i i))
(+.f64 (*.f64 i #s(literal 0 binary64)) (*.f64 (neg.f64 i) i))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 i) i))
(*.f64 (pow.f64 (neg.f64 i) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 i i #s(literal 0 binary64))))
(*.f64 #s(literal -1 binary64) i)
(*.f64 (*.f64 (neg.f64 i) i) (pow.f64 i #s(literal -1 binary64)))
(*.f64 i #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 (neg.f64 i) #s(literal 3 binary64))) (neg.f64 (fma.f64 i i #s(literal 0 binary64))))
(/.f64 (pow.f64 (neg.f64 i) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 i i) (*.f64 #s(literal 0 binary64) (neg.f64 i)))))
(/.f64 (pow.f64 (neg.f64 i) #s(literal 3 binary64)) (fma.f64 i i #s(literal 0 binary64)))
(/.f64 (*.f64 (neg.f64 i) i) (-.f64 #s(literal 0 binary64) (neg.f64 i)))
(/.f64 (*.f64 (neg.f64 i) i) i)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 i i #s(literal 0 binary64)) (pow.f64 (neg.f64 i) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (neg.f64 i) i)))
(/.f64 (*.f64 i i) (neg.f64 i))
(neg.f64 i)
(-.f64 (/.f64 #s(literal 0 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 (/.f64 #s(literal 0 binary64) i) i)
(-.f64 #s(literal 0 binary64) i)
(+.f64 #s(literal 0 binary64) (neg.f64 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 #s(literal 4 binary64) i)

eval51.0ms (0.7%)

Memory
24.7MiB live, 61.8MiB allocated
Compiler

Compiled 13 665 to 1 188 computations (91.3% saved)

prune33.0ms (0.5%)

Memory
-10.2MiB live, 25.7MiB allocated
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New4271428
Fresh000
Picked235
Done022
Total4296435
Accuracy
100.0%
Counts
435 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.9%
(/.f64 (*.f64 i i) (fma.f64 (*.f64 i #s(literal 16 binary64)) i #s(literal -4 binary64)))
43.8%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))))
56.5%
#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)))
43.8%
#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)))
43.5%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
56.6%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Compiler

Compiled 175 to 82 computations (53.1% saved)

simplify3.0ms (0%)

Memory
3.4MiB live, 3.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 i #s(literal 16 binary64))
cost-diff0
(fma.f64 (*.f64 i #s(literal 16 binary64)) i #s(literal -4 binary64))
cost-diff0
(*.f64 i i)
cost-diff0
(/.f64 (*.f64 i i) (fma.f64 (*.f64 i #s(literal 16 binary64)) i #s(literal -4 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0725
01225
11825
22125
02125
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 i i) (fma.f64 (*.f64 i #s(literal 16 binary64)) i #s(literal -4 binary64)))
(*.f64 i i)
i
(fma.f64 (*.f64 i #s(literal 16 binary64)) i #s(literal -4 binary64))
(*.f64 i #s(literal 16 binary64))
#s(literal 16 binary64)
#s(literal -4 binary64)
Outputs
(/.f64 (*.f64 i i) (fma.f64 (*.f64 i #s(literal 16 binary64)) i #s(literal -4 binary64)))
(*.f64 (/.f64 i (fma.f64 (*.f64 #s(literal 16 binary64) i) i #s(literal -4 binary64))) i)
(*.f64 i i)
i
(fma.f64 (*.f64 i #s(literal 16 binary64)) i #s(literal -4 binary64))
(fma.f64 (*.f64 #s(literal 16 binary64) i) i #s(literal -4 binary64))
(*.f64 i #s(literal 16 binary64))
(*.f64 #s(literal 16 binary64) i)
#s(literal 16 binary64)
#s(literal -4 binary64)

localize29.0ms (0.4%)

Memory
-24.1MiB live, 23.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 (*.f64 i #s(literal 16 binary64)) i #s(literal -4 binary64))
accuracy0.0
(*.f64 i i)
accuracy0.0
(*.f64 i #s(literal 16 binary64))
accuracy17.45099795958515
(/.f64 (*.f64 i i) (fma.f64 (*.f64 i #s(literal 16 binary64)) i #s(literal -4 binary64)))
Samples
23.0ms256×0valid
Compiler

Compiled 29 to 10 computations (65.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 4.0ms (50.1% of total)
ival-div: 2.0ms (25.1% of total)
ival-add: 1.0ms (12.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
3.5MiB live, 3.5MiB allocated
Counts
4 → 14
Calls
Call 1
Inputs
(/.f64 (*.f64 i i) (fma.f64 (*.f64 i #s(literal 16 binary64)) i #s(literal -4 binary64)))
(*.f64 i i)
(fma.f64 (*.f64 i #s(literal 16 binary64)) i #s(literal -4 binary64))
(*.f64 i #s(literal 16 binary64))
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))
(pow i 2)
-4
(- (* 16 (pow i 2)) 4)
(* 16 i)
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))))))
(* 16 (pow i 2))
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))
Calls

3 calls:

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

simplify157.0ms (2.2%)

Memory
20.7MiB live, 130.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051121
1101121
2232120
3543116
41255116
52341116
64494116
77291116
08189111
Stop Event
iter limit
node limit
Counts
14 → 14
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))
(pow i 2)
-4
(- (* 16 (pow i 2)) 4)
(* 16 i)
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))))))
(* 16 (pow i 2))
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))
Outputs
(* -1/4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal -1/4 binary64))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(*.f64 (neg.f64 (fma.f64 (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 4 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 (neg.f64 (fma.f64 i i (fma.f64 (fma.f64 (*.f64 #s(literal 16 binary64) i) i #s(literal 4 binary64)) (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (*.f64 i i))
(pow i 2)
(*.f64 i i)
-4
#s(literal -4 binary64)
(- (* 16 (pow i 2)) 4)
(fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64))
(* 16 i)
(*.f64 #s(literal 16 binary64) 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 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (+.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))))
(* 16 (pow i 2))
(*.f64 #s(literal 16 binary64) (*.f64 i i))
(* (pow i 2) (- 16 (* 4 (/ 1 (pow i 2)))))
(fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64))

rewrite285.0ms (4%)

Memory
-4.6MiB live, 202.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0722
01222
14222
223522
3207222
0868022
Stop Event
iter limit
node limit
iter limit
Counts
4 → 349
Calls
Call 1
Inputs
(/.f64 (*.f64 i i) (fma.f64 (*.f64 i #s(literal 16 binary64)) i #s(literal -4 binary64)))
(*.f64 i i)
(fma.f64 (*.f64 i #s(literal 16 binary64)) i #s(literal -4 binary64))
(*.f64 i #s(literal 16 binary64))
Outputs
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) i) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal 4 binary64)) i) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 i i)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal 4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 i (fma.f64 (*.f64 #s(literal 16 binary64) i) i #s(literal -4 binary64))))
(*.f64 (/.f64 (*.f64 i i) (-.f64 #s(literal 16 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64)))) (-.f64 #s(literal -4 binary64) (*.f64 (*.f64 #s(literal 16 binary64) i) i)))
(*.f64 (/.f64 (*.f64 (neg.f64 i) i) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) #s(literal -16 binary64))) (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal -4 binary64)))
(*.f64 (/.f64 (*.f64 i i) (fma.f64 #s(literal -4096 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 64 binary64))) (neg.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) (-.f64 #s(literal 16 binary64) (*.f64 #s(literal -64 binary64) (*.f64 i i))))))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 i (/.f64 i (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) #s(literal -16 binary64))))) (fma.f64 (*.f64 #s(literal 16 binary64) i) i #s(literal 4 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 i (/.f64 i (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 4096 binary64) #s(literal -64 binary64))))) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) (-.f64 #s(literal 16 binary64) (*.f64 #s(literal -64 binary64) (*.f64 i i)))))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 i) i)) (pow.f64 (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal 4 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) i) (/.f64 i (fma.f64 (*.f64 #s(literal 16 binary64) i) i #s(literal -4 binary64))))
(*.f64 (pow.f64 (*.f64 (pow.f64 i #s(literal -2 binary64)) (fma.f64 (*.f64 #s(literal 16 binary64) i) i #s(literal -4 binary64))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (pow.f64 i #s(literal -2 binary64)) (fma.f64 (*.f64 #s(literal 16 binary64) i) i #s(literal -4 binary64))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 i #s(literal 1 binary64)) (/.f64 i (fma.f64 (*.f64 #s(literal 16 binary64) i) i #s(literal -4 binary64))))
(*.f64 (/.f64 i #s(literal -1 binary64)) (/.f64 i (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal 4 binary64))))
(*.f64 (*.f64 i (/.f64 i (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) #s(literal -16 binary64)))) (fma.f64 (*.f64 #s(literal 16 binary64) i) i #s(literal 4 binary64)))
(*.f64 (*.f64 i (/.f64 i (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 4096 binary64) #s(literal -64 binary64)))) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) (-.f64 #s(literal 16 binary64) (*.f64 #s(literal -64 binary64) (*.f64 i i)))))
(*.f64 (pow.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) #s(literal -16 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 16 binary64) i) i #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 i i)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) #s(literal -16 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 16 binary64) i) i #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 i #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) #s(literal -16 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 16 binary64) i) i #s(literal 4 binary64)) (*.f64 i i)))
(*.f64 (pow.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 4096 binary64) #s(literal -64 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) (-.f64 #s(literal 16 binary64) (*.f64 #s(literal -64 binary64) (*.f64 i i)))) #s(literal -1 binary64)) (*.f64 i i)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 4096 binary64) #s(literal -64 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) (-.f64 #s(literal 16 binary64) (*.f64 #s(literal -64 binary64) (*.f64 i i)))) (*.f64 i i)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 4096 binary64) #s(literal -64 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) (-.f64 #s(literal 16 binary64) (*.f64 #s(literal -64 binary64) (*.f64 i i)))) (*.f64 i i)))
(*.f64 (/.f64 i (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) #s(literal -16 binary64))) (pow.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 16 binary64) i) i #s(literal 4 binary64)) #s(literal -1 binary64)) i) #s(literal -1 binary64)))
(*.f64 (/.f64 i (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) #s(literal -16 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 16 binary64) i) i #s(literal 4 binary64)) i))
(*.f64 (/.f64 i (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) #s(literal -16 binary64))) (/.f64 i (pow.f64 (fma.f64 (*.f64 #s(literal 16 binary64) i) i #s(literal 4 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 i (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 4096 binary64) #s(literal -64 binary64))) (pow.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) (-.f64 #s(literal 16 binary64) (*.f64 #s(literal -64 binary64) (*.f64 i i)))) #s(literal -1 binary64)) i) #s(literal -1 binary64)))
(*.f64 (/.f64 i (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 4096 binary64) #s(literal -64 binary64))) (*.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) (-.f64 #s(literal 16 binary64) (*.f64 #s(literal -64 binary64) (*.f64 i i)))) i))
(*.f64 (/.f64 i (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 4096 binary64) #s(literal -64 binary64))) (/.f64 i (pow.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) (-.f64 #s(literal 16 binary64) (*.f64 #s(literal -64 binary64) (*.f64 i i)))) #s(literal -1 binary64))))
(*.f64 (pow.f64 (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 i i)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 i) i))
(*.f64 (neg.f64 i) (*.f64 i (pow.f64 (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal 4 binary64)) #s(literal -1 binary64))))
(*.f64 (neg.f64 i) (/.f64 i (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal 4 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 i (/.f64 i (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal 4 binary64)))))
(*.f64 (/.f64 i (fma.f64 (*.f64 #s(literal 16 binary64) i) i #s(literal -4 binary64))) (pow.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 i (fma.f64 (*.f64 #s(literal 16 binary64) i) i #s(literal -4 binary64))) i)
(*.f64 (fma.f64 (*.f64 #s(literal 16 binary64) i) i #s(literal 4 binary64)) (*.f64 i (/.f64 i (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) #s(literal -16 binary64)))))
(*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 16 binary64) i) i #s(literal -4 binary64)) #s(literal -1 binary64)) (*.f64 i i))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 i (fma.f64 (*.f64 #s(literal 16 binary64) i) i #s(literal -4 binary64))) i))
(*.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) (-.f64 #s(literal 16 binary64) (*.f64 #s(literal -64 binary64) (*.f64 i i)))) (*.f64 i (/.f64 i (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 4096 binary64) #s(literal -64 binary64)))))
(*.f64 (*.f64 (neg.f64 i) i) (pow.f64 (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal 4 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 i (fma.f64 (*.f64 #s(literal 16 binary64) i) i #s(literal -4 binary64))) i) #s(literal 1 binary64))
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(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64)) (fma.f64 (*.f64 #s(literal 16 binary64) i) i #s(literal 4 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64)) (fma.f64 (*.f64 #s(literal 16 binary64) i) i #s(literal 4 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal -16 binary64) (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal -4 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64)) (fma.f64 (*.f64 #s(literal 16 binary64) i) i #s(literal 4 binary64))) (/.f64 #s(literal -16 binary64) (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal -4 binary64))))))) (/.f64 (pow.f64 (/.f64 #s(literal -16 binary64) (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal -4 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64)) (fma.f64 (*.f64 #s(literal 16 binary64) i) i #s(literal 4 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal -16 binary64) (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal -4 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64)) (fma.f64 (*.f64 #s(literal 16 binary64) i) i #s(literal 4 binary64))) (/.f64 #s(literal -16 binary64) (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal -4 binary64))))))))
(-.f64 (/.f64 (*.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64)) (fma.f64 (*.f64 #s(literal 16 binary64) i) i #s(literal 4 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 16 binary64) i) i #s(literal 4 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 16 binary64) i) i #s(literal 4 binary64)) #s(literal 16 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 16 binary64) i) i #s(literal 4 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 16 binary64) i) i) #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 16 binary64) i) i #s(literal 4 binary64)) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) #s(literal 16 binary64)))) (/.f64 #s(literal 256 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 16 binary64) i) i #s(literal 4 binary64)) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) #s(literal 16 binary64)))))
(-.f64 (/.f64 #s(literal 16 binary64) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -4 binary64) (*.f64 (*.f64 #s(literal 16 binary64) i) i)))) (/.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -4 binary64) (*.f64 (*.f64 #s(literal 16 binary64) i) i)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 16 binary64) i) i) #s(literal 6 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 16 binary64) i) i #s(literal 4 binary64)) (fma.f64 (pow.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 65536 binary64) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 4096 binary64) #s(literal 256 binary64))))) (/.f64 #s(literal 4096 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 16 binary64) i) i #s(literal 4 binary64)) (fma.f64 (pow.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 65536 binary64) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 4096 binary64) #s(literal 256 binary64))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 16 binary64) i) i) #s(literal 6 binary64)) (*.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) (-.f64 #s(literal 16 binary64) (*.f64 #s(literal -64 binary64) (*.f64 i i)))) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 4096 binary64) #s(literal 64 binary64)))) (/.f64 #s(literal 4096 binary64) (*.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) (-.f64 #s(literal 16 binary64) (*.f64 #s(literal -64 binary64) (*.f64 i i)))) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 4096 binary64) #s(literal 64 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal -4 binary64)))) (/.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) #s(literal -16 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal -4 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal -4 binary64))) (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal 4 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) (-.f64 #s(literal 16 binary64) (*.f64 #s(literal -64 binary64) (*.f64 i i))))))) (/.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 4096 binary64) #s(literal -64 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) (-.f64 #s(literal 16 binary64) (*.f64 #s(literal -64 binary64) (*.f64 i i))))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) (-.f64 #s(literal 16 binary64) (*.f64 #s(literal -64 binary64) (*.f64 i i)))))) (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal 4 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 16 binary64) i) i) #s(literal 4 binary64)) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) #s(literal 16 binary64))) (neg.f64 (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal -4 binary64)))) (/.f64 (/.f64 #s(literal 256 binary64) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) #s(literal 16 binary64))) (neg.f64 (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal -4 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 16 binary64) i) i) #s(literal 6 binary64)) (fma.f64 (pow.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 65536 binary64) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 4096 binary64) #s(literal 256 binary64)))) (neg.f64 (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal -4 binary64)))) (/.f64 (/.f64 #s(literal 4096 binary64) (fma.f64 (pow.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 65536 binary64) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 4096 binary64) #s(literal 256 binary64)))) (neg.f64 (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal -4 binary64)))))
(-.f64 (/.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64)) (neg.f64 (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal -4 binary64)))) (/.f64 #s(literal -16 binary64) (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal -4 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 16 binary64) i) i) #s(literal 4 binary64)) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) #s(literal 16 binary64))) (fma.f64 (*.f64 #s(literal 16 binary64) i) i #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 256 binary64) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) #s(literal 16 binary64))) (fma.f64 (*.f64 #s(literal 16 binary64) i) i #s(literal 4 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 16 binary64) i) i) #s(literal 6 binary64)) (fma.f64 (pow.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 65536 binary64) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 4096 binary64) #s(literal 256 binary64)))) (fma.f64 (*.f64 #s(literal 16 binary64) i) i #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 4096 binary64) (fma.f64 (pow.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 65536 binary64) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 4096 binary64) #s(literal 256 binary64)))) (fma.f64 (*.f64 #s(literal 16 binary64) i) i #s(literal 4 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 16 binary64) i) i) #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 4096 binary64) #s(literal 64 binary64))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) (-.f64 #s(literal 16 binary64) (*.f64 #s(literal -64 binary64) (*.f64 i i))))))) (/.f64 (/.f64 #s(literal 4096 binary64) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 4096 binary64) #s(literal 64 binary64))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) (-.f64 #s(literal 16 binary64) (*.f64 #s(literal -64 binary64) (*.f64 i i))))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 16 binary64) i) i) #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 4096 binary64) #s(literal 64 binary64))) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) (-.f64 #s(literal 16 binary64) (*.f64 #s(literal -64 binary64) (*.f64 i i))))) (/.f64 (/.f64 #s(literal 4096 binary64) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 4096 binary64) #s(literal 64 binary64))) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64) (-.f64 #s(literal 16 binary64) (*.f64 #s(literal -64 binary64) (*.f64 i i))))))
(-.f64 (/.f64 (/.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64)) (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal -4 binary64))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal -4 binary64))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 #s(literal -16 binary64) (*.f64 i i)) #s(literal -1 binary64)) #s(literal 4 binary64))
(-.f64 (/.f64 (/.f64 #s(literal 16 binary64) (-.f64 #s(literal -4 binary64) (*.f64 (*.f64 #s(literal 16 binary64) i) i))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64)) (-.f64 #s(literal -4 binary64) (*.f64 (*.f64 #s(literal 16 binary64) i) i))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 16 binary64) (-.f64 #s(literal -4 binary64) (*.f64 (*.f64 #s(literal 16 binary64) i) i))) (/.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64)) (-.f64 #s(literal -4 binary64) (*.f64 (*.f64 #s(literal 16 binary64) i) i))))
(-.f64 (/.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64)) (fma.f64 (*.f64 #s(literal 16 binary64) i) i #s(literal 4 binary64))) (/.f64 #s(literal -16 binary64) (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal -4 binary64))))
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal 4 binary64)))
(-.f64 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 #s(literal 16 binary64) i) i) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 (*.f64 #s(literal 16 binary64) i) i #s(literal -4 binary64))) #s(literal -1 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (*.f64 #s(literal 16 binary64) i) i #s(literal -4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 16 binary64) i) i #s(literal -4 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (neg.f64 (*.f64 #s(literal -16 binary64) (*.f64 i i))) #s(literal -4 binary64))
(+.f64 (/.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 256 binary64)) (fma.f64 (*.f64 #s(literal 16 binary64) i) i #s(literal 4 binary64))) (neg.f64 (/.f64 #s(literal -16 binary64) (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal -4 binary64)))))
(+.f64 (*.f64 (*.f64 #s(literal 16 binary64) i) i) #s(literal -4 binary64))
(+.f64 #s(literal -4 binary64) (neg.f64 (*.f64 #s(literal -16 binary64) (*.f64 i i))))
(+.f64 #s(literal -4 binary64) (*.f64 (*.f64 #s(literal 16 binary64) i) i))
(*.f64 #s(literal 16 binary64) i)
(*.f64 i #s(literal 16 binary64))

eval40.0ms (0.6%)

Memory
19.7MiB live, 58.0MiB allocated
Compiler

Compiled 10 254 to 1 172 computations (88.6% saved)

prune44.0ms (0.6%)

Memory
-12.0MiB live, 26.3MiB allocated
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New3620362
Fresh000
Picked011
Done055
Total3626368
Accuracy
100.0%
Counts
368 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.9%
(/.f64 (*.f64 i i) (fma.f64 (*.f64 i #s(literal 16 binary64)) i #s(literal -4 binary64)))
43.8%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))))
56.5%
#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)))
43.8%
#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)))
43.5%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
56.6%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Compiler

Compiled 460 to 145 computations (68.5% saved)

regimes27.0ms (0.4%)

Memory
-22.8MiB live, 14.9MiB allocated
Counts
13 → 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 #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 (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)))
(/.f64 (*.f64 i i) (fma.f64 (*.f64 i #s(literal 16 binary64)) i #s(literal -4 binary64)))
(/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(/.f64 (*.f64 i i) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
(/.f64 (*.f64 i i) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) i)) i #s(literal -4 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #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) (*.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (fma.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))) (fma.f64 (*.f64 #s(literal 4 binary64) 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 i i) (fma.f64 (*.f64 i #s(literal 16 binary64)) i #s(literal -4 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Calls

2 calls:

4.0ms
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
100.0%2i
80.3%2(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Compiler

Compiled 26 to 11 computations (57.7% saved)

regimes2.0ms (0%)

Memory
4.7MiB live, 4.7MiB allocated
Counts
4 → 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 #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 (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)))
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
4.2MiB live, 4.2MiB allocated
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 #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 (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
98.8%2i
Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory
3.6MiB live, 3.6MiB allocated
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 #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 #s(literal -1/4 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

1 calls:

1.0ms
i
Results
AccuracySegmentsBranch
98.5%2i
Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory
5.5MiB live, 5.5MiB allocated
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
56.6%1(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
56.6%1i
Compiler

Compiled 26 to 11 computations (57.7% saved)

bsearch4.0ms (0.1%)

Memory
6.0MiB live, 6.0MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
3.0ms
799010.2202540198
626180153.97172
Samples
2.0ms32×0valid
Compiler

Compiled 102 to 56 computations (45.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-mult: 1.0ms (80.3% of total)
ival-sub: 0.0ms (0% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch74.0ms (1%)

Memory
-20.5MiB live, 30.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
72.0ms
2.7139375268085937e-6
0.5364175546107145
Samples
66.0ms144×0valid
Compiler

Compiled 640 to 320 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-div: 59.0ms (93.6% of total)
ival-mult: 3.0ms (4.8% of total)
ival-sub: 1.0ms (1.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
2.8MiB live, 2.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
2.7139375268085937e-6
0.5364175546107145
Compiler

Compiled 586 to 284 computations (51.5% saved)

bsearch1.0ms (0%)

Memory
3.0MiB live, 3.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
2.7139375268085937e-6
0.5364175546107145
Compiler

Compiled 550 to 266 computations (51.6% saved)

simplify60.0ms (0.8%)

Memory
13.2MiB live, 49.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
039268
171252
2225220
31137204
42592196
54941188
67963188
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 i #s(literal 40000000 binary64)) (/.f64 (*.f64 i i) (fma.f64 (*.f64 i #s(literal 16 binary64)) i #s(literal -4 binary64))) #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 #s(literal -1/4 binary64) (*.f64 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 40000000 binary64)) (/.f64 (*.f64 i i) (fma.f64 (*.f64 i #s(literal 16 binary64)) i #s(literal -4 binary64))) #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 #s(literal -1/4 binary64) (*.f64 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))

soundness1.3s (17.8%)

Memory
-8.0MiB live, 629.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01063
01747
17541
265329
0877227
036196
059164
1241143
21665124
08735123
032186
048156
1209150
21655136
08334131
049123
194123
2218122
3510118
41090118
52132118
64138118
76263118
08099113
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 373 to 103 computations (72.4% saved)

preprocess46.0ms (0.6%)

Memory
22.0MiB live, 60.7MiB allocated
Remove

(abs i)

Compiler

Compiled 668 to 140 computations (79% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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