Octave 3.8, jcobi/4, as called

Time bar (total: 6.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze3.0ms (0%)

Memory
4.5MiB live, 4.5MiB 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)

sample1.6s (25.3%)

Memory
15.9MiB live, 995.1MiB allocated
Samples
1.3s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 815.0ms
ival-mult: 498.0ms (61.1% of total)
ival-div: 240.0ms (29.5% of total)
ival-sub: 37.0ms (4.5% of total)
ival->: 22.0ms (2.7% of total)
exact: 14.0ms (1.7% of total)
ival-assert: 4.0ms (0.5% of total)
Bogosity

explain239.0ms (3.8%)

Memory
-6.1MiB live, 274.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1950-1(4.444192256219531e-80)(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
770-0-(/.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/o770
(*.f64 (*.f64 i i) (*.f64 i i))overflow103
(*.f64 i i)overflow154
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))overflow77
/.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/o770
(*.f64 (*.f64 i i) (*.f64 i i))overflow103
(*.f64 i i)overflow154
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))overflow77
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))overflow77
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))overflow77
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))overflow77
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))u/u570
(*.f64 (*.f64 i i) (*.f64 i i))underflow91
(*.f64 i i)underflow114
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))underflow57
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))u/n340
(*.f64 (*.f64 i i) (*.f64 i i))underflow91
(*.f64 i i)underflow114
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))o/n260
(*.f64 (*.f64 i i) (*.f64 i i))overflow103
(*.f64 i i)overflow154
Confusion
Predicted +Predicted -
+1941
-061
Precision
1.0
Recall
0.9948717948717949
Confusion?
Predicted +Predicted MaybePredicted -
+19401
-0061
Precision?
1.0
Recall?
0.9948717948717949
Freqs
test
numberfreq
062
1117
277
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
66.0ms512×0valid
Compiler

Compiled 173 to 34 computations (80.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 13.0ms (57.8% of total)
ival-div: 6.0ms (26.7% of total)
ival-sub: 2.0ms (8.9% of total)
exact: 1.0ms (4.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess292.0ms (4.6%)

Memory
24.1MiB live, 222.9MiB 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
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
25.6%
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Compiler

Compiled 25 to 10 computations (60% saved)

simplify226.0ms (3.6%)

Memory
-4.0MiB live, 164.2MiB 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)

localize55.0ms (0.9%)

Memory
-10.6MiB live, 28.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(-.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))
accuracy18.65815276580633
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
accuracy43.42052507121305
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
Samples
17.0ms256×0valid
Compiler

Compiled 74 to 12 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 6.0ms (60.1% of total)
ival-div: 3.0ms (30% of total)
ival-sub: 1.0ms (10% 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
6.8MiB live, 6.8MiB 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))

simplify263.0ms (4.2%)

Memory
-5.9MiB live, 145.9MiB 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))

rewrite198.0ms (3.1%)

Memory
-2.0MiB live, 242.4MiB 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)))
(*.f64 (pow.f64 i #s(literal -1 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal 1/4 binary64) i) (*.f64 (pow.f64 i #s(literal -1 binary64)) (*.f64 i i)))
(*.f64 (*.f64 #s(literal 1/4 binary64) i) i)
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 i i)))
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(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 i i)))
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eval413.0ms (6.5%)

Memory
16.2MiB live, 137.8MiB allocated
Compiler

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

prune17.0ms (0.3%)

Memory
1.3MiB live, 38.3MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New6966702
Fresh000
Picked101
Done000
Total6976703
Accuracy
100.0%
Counts
703 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.6%
(/.f64 (*.f64 #s(literal 1/2 binary64) i) (*.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
70.7%
(*.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i))
54.2%
#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)))
46.6%
#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)))
46.6%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
54.6%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Compiler

Compiled 304 to 156 computations (48.7% saved)

simplify131.0ms (2.1%)

Memory
6.1MiB live, 163.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
032214
045194
197186
2305162
31351162
44041157
56646157
08397152
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i))
(/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))
i
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
#s(literal 4 binary64)
(*.f64 i i)
#s(literal -1 binary64)
(*.f64 #s(literal 1/4 binary64) i)
#s(literal 1/4 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 #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 (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)
#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)
Outputs
(*.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i))
(/.f64 (*.f64 i i) (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64)))
(/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))
(/.f64 i (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
i
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
#s(literal 4 binary64)
(*.f64 i i)
#s(literal -1 binary64)
(*.f64 #s(literal 1/4 binary64) i)
#s(literal 1/4 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 #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 -1/4 binary64) i) i))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(*.f64 (*.f64 #s(literal -1/4 binary64) 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 (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)
#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)

localize62.0ms (1%)

Memory
-26.0MiB live, 93.2MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
accuracy0.0
(*.f64 i i)
accuracy0.16244125976844204
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
accuracy29.31935382721439
#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
(neg.f64 i)
accuracy0.046875
(*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
accuracy0.05078125
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)
accuracy34.1470611281154
#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)))
accuracy0.0
(*.f64 i i)
accuracy0.0
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
accuracy34.19361461406653
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
accuracy29.06454391888235
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
accuracy0.0
(*.f64 #s(literal 1/4 binary64) i)
accuracy0.00390625
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
accuracy0.14188253162065376
(*.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i))
accuracy18.034870119856752
(/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))
Samples
42.0ms256×0valid
Compiler

Compiled 196 to 30 computations (84.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-mult: 16.0ms (54.2% of total)
ival-div: 6.0ms (20.3% of total)
ival-add: 3.0ms (10.2% of total)
ival-sub: 2.0ms (6.8% of total)
exact: 1.0ms (3.4% of total)
ival-neg: 1.0ms (3.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
13.3MiB live, 13.3MiB allocated
Counts
16 → 34
Calls
Call 1
Inputs
(*.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i))
(/.f64 i (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 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 #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 (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))
#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 #s(literal 1/4 binary64) i)
(neg.f64 i)
Outputs
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(* -1 i)
(* i (- (* -4 (pow i 2)) 1))
(* i (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1))
(* i (- (* (pow i 2) (- (* (pow i 2) (- (* -64 (pow i 2)) 16)) 4)) 1))
-1
(- (* 4 (pow i 2)) 1)
(pow i 2)
(* 1/4 i)
(* i (+ 1/4 (pow i 2)))
1/4
(+ 1/4 (pow i 2))
(/ 1/64 (pow i 2))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(/ 1/4 i)
(/ (+ 1/4 (* 1/16 (/ 1 (pow i 2)))) i)
(/ (+ 1/4 (+ (/ 1/64 (pow i 4)) (* 1/16 (/ 1 (pow i 2))))) i)
(/ (+ 1/4 (+ (/ 1/64 (pow i 4)) (+ (* 1/16 (/ 1 (pow i 2))) (* 1/256 (/ 1 (pow i 6)))))) i)
(* 4 (pow i 2))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(pow i 3)
(* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (pow i 2))) 1/4) i))
(* -1 (/ (- (* -1 (/ (+ 1/64 (* 1/256 (/ 1 (pow i 2)))) (pow i 4))) (+ 1/4 (* 1/16 (/ 1 (pow i 2))))) i))
Calls

3 calls:

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

simplify120.0ms (1.9%)

Memory
24.8MiB live, 137.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0101314
1239314
2614299
31818298
46443298
08621285
Stop Event
iter limit
node limit
Counts
34 → 34
Calls
Call 1
Inputs
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(* -1 i)
(* i (- (* -4 (pow i 2)) 1))
(* i (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1))
(* i (- (* (pow i 2) (- (* (pow i 2) (- (* -64 (pow i 2)) 16)) 4)) 1))
-1
(- (* 4 (pow i 2)) 1)
(pow i 2)
(* 1/4 i)
(* i (+ 1/4 (pow i 2)))
1/4
(+ 1/4 (pow i 2))
(/ 1/64 (pow i 2))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(/ 1/4 i)
(/ (+ 1/4 (* 1/16 (/ 1 (pow i 2)))) i)
(/ (+ 1/4 (+ (/ 1/64 (pow i 4)) (* 1/16 (/ 1 (pow i 2))))) i)
(/ (+ 1/4 (+ (/ 1/64 (pow i 4)) (+ (* 1/16 (/ 1 (pow i 2))) (* 1/256 (/ 1 (pow i 6)))))) i)
(* 4 (pow i 2))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(pow i 3)
(* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (pow i 2))) 1/4) i))
(* -1 (/ (- (* -1 (/ (+ 1/64 (* 1/256 (/ 1 (pow i 2)))) (pow i 4))) (+ 1/4 (* 1/16 (/ 1 (pow i 2))))) i))
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))
(* -1 i)
(neg.f64 i)
(* i (- (* -4 (pow i 2)) 1))
(fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal -4 binary64) (neg.f64 i))
(* i (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1))
(fma.f64 (pow.f64 i #s(literal 3 binary64)) (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal -4 binary64)) (neg.f64 i))
(* i (- (* (pow i 2) (- (* (pow i 2) (- (* -64 (pow i 2)) 16)) 4)) 1))
(fma.f64 (pow.f64 i #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -64 binary64) (*.f64 i i) #s(literal -16 binary64)) (*.f64 i i) #s(literal -4 binary64)) (neg.f64 i))
-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 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))
(/ 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)
1/16
#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))))
(/ 1/4 i)
(/.f64 #s(literal 1/4 binary64) i)
(/ (+ 1/4 (* 1/16 (/ 1 (pow i 2)))) i)
(/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 i i)) #s(literal -1/4 binary64)) i)
(/ (+ 1/4 (+ (/ 1/64 (pow i 4)) (* 1/16 (/ 1 (pow i 2))))) i)
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal -1/16 binary64) (*.f64 i i))) i)
(/ (+ 1/4 (+ (/ 1/64 (pow i 4)) (+ (* 1/16 (/ 1 (pow i 2))) (* 1/256 (/ 1 (pow i 6)))))) i)
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/4 binary64)) (-.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 6 binary64))) (/.f64 #s(literal -1/16 binary64) (*.f64 i i)))) i)
(* 4 (pow i 2))
(*.f64 #s(literal 4 binary64) (*.f64 i i))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 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))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (pow i 2))) 1/4) i))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) (pow.f64 i #s(literal 3 binary64))) (/.f64 #s(literal -1/4 binary64) i))
(* -1 (/ (- (* -1 (/ (+ 1/64 (* 1/256 (/ 1 (pow i 2)))) (pow i 4))) (+ 1/4 (* 1/16 (/ 1 (pow i 2))))) i))
(-.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (*.f64 i i)) #s(literal 1/64 binary64)) (pow.f64 i #s(literal 5 binary64))) (/.f64 #s(literal -1/16 binary64) (pow.f64 i #s(literal 3 binary64)))) (/.f64 #s(literal -1/4 binary64) i))

rewrite217.0ms (3.4%)

Memory
-15.0MiB live, 221.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032196
045168
1186160
21344129
09078127
Stop Event
iter limit
node limit
iter limit
Counts
16 → 700
Calls
Call 1
Inputs
(*.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i))
(/.f64 i (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 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 #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 (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))
#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 #s(literal 1/4 binary64) i)
(neg.f64 i)
Outputs
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64)))) (/.f64 i (*.f64 #s(literal 4 binary64) i))) #s(literal 1 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64)))) (/.f64 i (*.f64 #s(literal 2 binary64) i))) (/.f64 i (*.f64 #s(literal 2 binary64) i)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64)))) (*.f64 i #s(literal 1/2 binary64))) (/.f64 i (*.f64 (*.f64 #s(literal 2 binary64) i) i)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64)))) (*.f64 #s(literal 1/4 binary64) i)) (pow.f64 i #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64)))) (pow.f64 i #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64)))) (*.f64 i i)) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64)))) i) (*.f64 i (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal 4 binary64) i))) #s(literal 1 binary64))
(*.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/2 binary64))) (/.f64 i (*.f64 (*.f64 #s(literal 2 binary64) i) i)))
(*.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 i i) (*.f64 #s(literal 4 binary64) i))) i)
(*.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 i i) #s(literal 1/2 binary64))) (/.f64 (*.f64 i i) (*.f64 (*.f64 #s(literal 2 binary64) i) i)))
(*.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 i (*.f64 #s(literal 4 binary64) i))) (/.f64 (pow.f64 i #s(literal 3 binary64)) i))
(*.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) i))) (/.f64 i (*.f64 #s(literal 2 binary64) i)))
(*.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 i (*.f64 #s(literal 2 binary64) i))) (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) i)))
(*.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/4 binary64))) (pow.f64 i #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 i #s(literal -1 binary64))) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 i #s(literal 3 binary64))) (*.f64 i (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) i) #s(literal 1/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/4 binary64))) (pow.f64 i #s(literal 4 binary64)))
(*.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 i #s(literal 1/2 binary64))) (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) i) i)))
(*.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 i #s(literal 1/2 binary64))) (*.f64 i #s(literal 1/2 binary64)))
(*.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) (/.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -4 binary64)))
(*.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 i #s(literal 4 binary64))) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 i i)) #s(literal 1/4 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) i) i) (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 1 binary64)))) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 i #s(literal -2 binary64)) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)))) (/.f64 (/.f64 i #s(literal -2 binary64)) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) (/.f64 (/.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -4 binary64)) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.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 #s(literal 1 binary64) (/.f64 (pow.f64 i #s(literal 3 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))) (*.f64 i (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64))))) #s(literal 1/4 binary64))
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) i) (/.f64 i (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) i) (/.f64 i (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -1 binary64)))) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) i) #s(literal -1 binary64)) (/.f64 i (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 3 binary64))) (/.f64 i (fma.f64 #s(literal -4 binary64) (*.f64 i i) (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) i) i) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)))
(*.f64 (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 (*.f64 i i) #s(literal 4 binary64) #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 (pow.f64 i #s(literal -2 binary64)) #s(literal -4 binary64)))
(*.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)) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/4 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 (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) i) (*.f64 #s(literal 4 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 -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 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) #s(literal -1 binary64)) (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 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) i) i) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) i) i) (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) i) i) (fma.f64 #s(literal -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 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) i) #s(literal 1/2 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #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 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (/.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -4 binary64)))
(*.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (*.f64 i i))
(*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) i) i) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) i) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 i #s(literal -2 binary64)) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64))) (/.f64 (/.f64 i #s(literal -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 (pow.f64 i #s(literal -2 binary64)) #s(literal -4 binary64)) (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 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (*.f64 i (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/4 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 -4 binary64) (*.f64 i i) (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))))))
(*.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 (*.f64 #s(literal 8 binary64) (pow.f64 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 (*.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) i)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 i (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))) i)
(*.f64 (pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))
(*.f64 (*.f64 i #s(literal 1/2 binary64)) (/.f64 (/.f64 i #s(literal -2 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))))
(*.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64)))) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 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 (*.f64 (*.f64 #s(literal 1/4 binary64) i) i) (pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 i #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1/4 binary64) i) (/.f64 i (fma.f64 (*.f64 i i) #s(literal 4 binary64) #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)))))
(*.f64 (/.f64 i (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64))) #s(literal -1/4 binary64))))
(*.f64 (*.f64 i i) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))))
(*.f64 (*.f64 i i) (/.f64 (*.f64 i i) (fma.f64 #s(literal -4 binary64) (*.f64 i i) (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))))))
(*.f64 (*.f64 i i) (*.f64 (pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(*.f64 i (/.f64 (pow.f64 i #s(literal 3 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 i i) (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))))))
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eval93.0ms (1.5%)

Memory
3.7MiB live, 193.1MiB allocated
Compiler

Compiled 24 259 to 2 386 computations (90.2% saved)

prune14.0ms (0.2%)

Memory
8.9MiB live, 47.8MiB allocated
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New7732775
Fresh101
Picked145
Done000
Total7756781
Accuracy
100.0%
Counts
781 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.7%
(*.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i))
46.5%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/.f64 (/.f64 i #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) i)))
54.2%
#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)))
46.6%
#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)))
46.6%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
54.6%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Compiler

Compiled 171 to 83 computations (51.5% saved)

simplify120.0ms (1.9%)

Memory
2.0MiB live, 159.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
021105
02897
16889
224677
3123677
4416473
5659473
0806671
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#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)))
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i))
(fma.f64 i i #s(literal 1/4 binary64))
i
#s(literal 1/4 binary64)
(*.f64 (neg.f64 i) i)
(neg.f64 i)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/.f64 (/.f64 i #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) i)))
(/.f64 (/.f64 i #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) i))
(/.f64 i #s(literal -2 binary64))
i
#s(literal -2 binary64)
(/.f64 #s(literal 2 binary64) i)
#s(literal 2 binary64)
Outputs
#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)))
#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 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i))
(*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (*.f64 i i))
(fma.f64 i i #s(literal 1/4 binary64))
i
#s(literal 1/4 binary64)
(*.f64 (neg.f64 i) i)
(neg.f64 i)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/.f64 (/.f64 i #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) i)))
#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 (/.f64 i #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) i))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(/.f64 i #s(literal -2 binary64))
(*.f64 #s(literal -1/2 binary64) i)
i
#s(literal -2 binary64)
(/.f64 #s(literal 2 binary64) i)
#s(literal 2 binary64)

localize54.0ms (0.9%)

Memory
-2.0MiB live, 80.3MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 i #s(literal -2 binary64))
accuracy0.0
(/.f64 #s(literal 2 binary64) i)
accuracy0.13671875
(/.f64 (/.f64 i #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) i))
accuracy34.19361461406653
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/.f64 (/.f64 i #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) i)))
accuracy0.0
(*.f64 (neg.f64 i) i)
accuracy0.0
(neg.f64 i)
accuracy0.0546875
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i))
accuracy34.1470611281154
#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)))
Samples
44.0ms256×0valid
Compiler

Compiled 91 to 21 computations (76.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-mult: 20.0ms (58.3% of total)
ival-div: 7.0ms (20.4% of total)
ival-neg: 4.0ms (11.7% of total)
ival-sub: 1.0ms (2.9% of total)
ival-add: 1.0ms (2.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
7.6MiB live, 7.6MiB allocated
Counts
9 → 18
Calls
Call 1
Inputs
#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)))
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i))
(fma.f64 i i #s(literal 1/4 binary64))
(*.f64 (neg.f64 i) i)
(/.f64 (/.f64 i #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/.f64 (/.f64 i #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) i)))
(/.f64 i #s(literal -2 binary64))
(/.f64 #s(literal 2 binary64) i)
(neg.f64 i)
Outputs
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
1/4
(+ 1/4 (pow i 2))
(* -1 (pow i 2))
(* -1/2 i)
(/ 2 i)
(* -1 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 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(pow i 2)
(* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
Calls

3 calls:

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

simplify180.0ms (2.8%)

Memory
-4.6MiB live, 123.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055135
1121135
2295133
3858129
42074129
53933129
66574129
08236124
Stop Event
iter limit
node limit
Counts
18 → 18
Calls
Call 1
Inputs
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
1/4
(+ 1/4 (pow i 2))
(* -1 (pow i 2))
(* -1/2 i)
(/ 2 i)
(* -1 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 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(pow i 2)
(* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
Outputs
(* -1/4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal -1/4 binary64))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 (pow.f64 i #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) i) i))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(*.f64 (pow.f64 i #s(literal 3 binary64)) (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal -4 binary64) (-.f64 (/.f64 #s(literal -1/4 binary64) 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))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (pow i 2))
(fma.f64 i i #s(literal 1/4 binary64))
(* -1 (pow i 2))
(*.f64 (neg.f64 i) i)
(* -1/2 i)
(*.f64 #s(literal -1/2 binary64) i)
(/ 2 i)
(/.f64 #s(literal 2 binary64) i)
(* -1 i)
(neg.f64 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))))
(* -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 (pow.f64 i #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) i) i))
(pow i 2)
(*.f64 i i)
(* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(fma.f64 i i #s(literal 1/4 binary64))

rewrite155.0ms (2.5%)

Memory
-8.8MiB live, 143.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021100
02888
113180
2100972
0884970
Stop Event
iter limit
node limit
iter limit
Counts
9 → 435
Calls
Call 1
Inputs
#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)))
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i))
(fma.f64 i i #s(literal 1/4 binary64))
(*.f64 (neg.f64 i) i)
(/.f64 (/.f64 i #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/.f64 (/.f64 i #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) i)))
(/.f64 i #s(literal -2 binary64))
(/.f64 #s(literal 2 binary64) i)
(neg.f64 i)
Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))) (neg.f64 i)))
(*.f64 (*.f64 i (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) #s(literal -1 binary64))) i)
(*.f64 (neg.f64 (fma.f64 i i #s(literal 1/4 binary64))) (*.f64 i i))
(*.f64 (*.f64 (*.f64 (-.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)) i) (neg.f64 i)) (pow.f64 (fma.f64 i i #s(literal -1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 6 binary64))) i) (neg.f64 i)) (pow.f64 (+.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 i i) (pow.f64 i #s(literal 4 binary64)))) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (neg.f64 i) i) (-.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64))) (pow.f64 (fma.f64 i i #s(literal -1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (neg.f64 i) i) (+.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 6 binary64)))) (pow.f64 (+.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 i i) (pow.f64 i #s(literal 4 binary64)))) #s(literal -1 binary64)))
(*.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))) (neg.f64 i))
(*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) #s(literal -1 binary64)) (*.f64 i i))
(*.f64 (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) i) #s(literal -1 binary64))
(*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
(*.f64 (*.f64 (neg.f64 i) (fma.f64 i i #s(literal 1/4 binary64))) i)
(*.f64 (-.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (pow.f64 (fma.f64 i i #s(literal -1/4 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 i) i)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) i))
(*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 i #s(literal 1/4 binary64)) i (pow.f64 i #s(literal 4 binary64))))
(*.f64 (+.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 6 binary64))) (*.f64 (pow.f64 (+.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 i i) (pow.f64 i #s(literal 4 binary64)))) #s(literal -1 binary64)) (*.f64 (neg.f64 i) i)))
(*.f64 (*.f64 (neg.f64 i) i) (fma.f64 i i #s(literal 1/4 binary64)))
(*.f64 (neg.f64 i) (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))))
(*.f64 (neg.f64 i) (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i))
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i))
(*.f64 (*.f64 i i) (neg.f64 (fma.f64 i i #s(literal 1/4 binary64))))
(*.f64 i (*.f64 (neg.f64 i) (fma.f64 i i #s(literal 1/4 binary64))))
(/.f64 (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 (pow.f64 i #s(literal 3 binary64)))) (fma.f64 i i #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (*.f64 (neg.f64 i) i)) i)
(/.f64 (*.f64 i (*.f64 (-.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)) (neg.f64 i))) (fma.f64 i i #s(literal -1/4 binary64)))
(/.f64 (*.f64 i (*.f64 (+.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 6 binary64))) (neg.f64 i))) (+.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 i i) (pow.f64 i #s(literal 4 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (neg.f64 (pow.f64 i #s(literal 4 binary64))))) (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (neg.f64 (pow.f64 i #s(literal 4 binary64)))))
(/.f64 (-.f64 (*.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))) (-.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (-.f64 (*.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (neg.f64 (pow.f64 i #s(literal 4 binary64)))))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) #s(literal 3 binary64))) (fma.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (neg.f64 (pow.f64 i #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)) i) (neg.f64 i))) (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 6 binary64))) i) (neg.f64 i))) (neg.f64 (+.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 i i) (pow.f64 i #s(literal 4 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 i) i) (-.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)))) (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 i) i) (+.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 6 binary64))))) (neg.f64 (+.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 i i) (pow.f64 i #s(literal 4 binary64))))))
(/.f64 (*.f64 (*.f64 (neg.f64 i) i) (-.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64)))) (-.f64 #s(literal 1/4 binary64) (*.f64 i i)))
(/.f64 (*.f64 (*.f64 (neg.f64 i) i) (fma.f64 #s(literal -1 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64))) (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64)))
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(/.f64 (*.f64 (*.f64 (neg.f64 i) i) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 i i #s(literal 1/4 binary64))))
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(/.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) i)
(/.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/2 binary64)) i)) #s(literal 2 binary64))
(/.f64 (neg.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) i))) i)
(/.f64 (neg.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64))) (*.f64 i i))
(/.f64 (neg.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) i) i))
(/.f64 (*.f64 (*.f64 (neg.f64 i) i) (*.f64 (*.f64 #s(literal 1/2 binary64) i) i)) (*.f64 (*.f64 #s(literal 2 binary64) i) i))
(/.f64 (*.f64 (*.f64 (neg.f64 i) i) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 i i)) (*.f64 i i)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) i)
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/2 binary64)) i)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) i))) i)
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64))) (*.f64 i i))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) i) i))
(/.f64 (*.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 i i)))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) i) (neg.f64 (pow.f64 i #s(literal 3 binary64)))) (*.f64 #s(literal -2 binary64) (fma.f64 i i #s(literal 0 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) i) (*.f64 (neg.f64 i) i)) (*.f64 #s(literal -2 binary64) i))
(/.f64 (*.f64 (neg.f64 i) (neg.f64 i)) #s(literal -4 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 i)) (/.f64 #s(literal 4 binary64) i))
(/.f64 (*.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (neg.f64 i))
(/.f64 (/.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/2 binary64)) i) #s(literal -2 binary64))
(/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) i)) (neg.f64 i))
(/.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i))
(/.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) i) i))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 i i)) #s(literal 2 binary64))
(/.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 i #s(literal -1 binary64)) (pow.f64 i #s(literal -1 binary64))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -2 binary64) i) (pow.f64 i #s(literal -1 binary64))))
(/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal -2 binary64) i) i))
(/.f64 (*.f64 i #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) i))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) i) i) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/2 binary64))) (neg.f64 (*.f64 #s(literal -2 binary64) i)))
(/.f64 (neg.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) i))
(/.f64 (*.f64 #s(literal -1/4 binary64) i) (pow.f64 i #s(literal -1 binary64)))
(/.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) i))
(/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)))
(/.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 i #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) i)))
(/.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) i) i))
(/.f64 (*.f64 #s(literal 1/2 binary64) i) (/.f64 #s(literal -2 binary64) i))
(/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 i i)))
(/.f64 (*.f64 #s(literal -1/2 binary64) i) (/.f64 #s(literal 2 binary64) i))
(/.f64 (*.f64 (neg.f64 i) i) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 i i)) (*.f64 i i)))
(/.f64 (*.f64 (neg.f64 i) i) #s(literal 4 binary64))
(/.f64 (neg.f64 i) (/.f64 #s(literal 4 binary64) i))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) i) (neg.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) i) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(/.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 i i)))
(/.f64 (*.f64 i i) #s(literal -4 binary64))
(/.f64 i (/.f64 #s(literal -4 binary64) i))
(neg.f64 (/.f64 (neg.f64 i) (/.f64 #s(literal -4 binary64) i)))
(neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)))
(fma.f64 (*.f64 i #s(literal 1/4 binary64)) #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(fma.f64 #s(literal 0 binary64) (*.f64 i #s(literal 1/4 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (*.f64 i i))) (*.f64 #s(literal 1/4 binary64) (*.f64 i i)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) i)) (*.f64 #s(literal 1/4 binary64) (*.f64 i i)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) i)) (*.f64 #s(literal 1/4 binary64) (*.f64 i i)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) i)) (*.f64 #s(literal 1/4 binary64) (*.f64 i i)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 i i)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i))) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 0 binary64) (*.f64 i #s(literal 1/4 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(+.f64 (*.f64 (*.f64 i #s(literal 1/4 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(+.f64 #s(literal 0 binary64) (*.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 #s(literal -1/4 binary64) (*.f64 i 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 1 binary64) (neg.f64 i)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) i) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (neg.f64 i))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) i))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/2 binary64) i)
(*.f64 (*.f64 #s(literal 1/2 binary64) i) #s(literal -1 binary64))
(*.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1 binary64))
(*.f64 (*.f64 (neg.f64 i) i) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -1 binary64)))
(*.f64 (neg.f64 i) #s(literal 1/2 binary64))
(*.f64 (neg.f64 i) (/.f64 i (*.f64 #s(literal 2 binary64) i)))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) i))
(*.f64 (*.f64 i i) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -1 binary64))))
(*.f64 i (neg.f64 (/.f64 i (*.f64 #s(literal 2 binary64) i))))
(*.f64 i #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal -2 binary64) i) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) i) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 i #s(literal 1/4 binary64)) i (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) i)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 i) i)) (*.f64 #s(literal -2 binary64) i))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 i)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 i i)) i)
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 #s(literal 1/2 binary64) i))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) i))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) i) i) (neg.f64 i))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) i))
(/.f64 #s(literal -1/2 binary64) (pow.f64 i #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) i) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1 binary64))
(/.f64 (*.f64 (neg.f64 i) i) (neg.f64 (*.f64 #s(literal -2 binary64) i)))
(/.f64 (*.f64 (neg.f64 i) i) (*.f64 #s(literal 2 binary64) i))
(/.f64 (neg.f64 i) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) i))
(/.f64 (*.f64 i i) (*.f64 #s(literal -2 binary64) i))
(/.f64 i #s(literal -2 binary64))
(neg.f64 (*.f64 #s(literal 1/2 binary64) i))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) i))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -2 binary64) i)) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) i))
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) i) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) i) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) i) #s(literal -2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) i))
(*.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) i))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) i))
(*.f64 (*.f64 #s(literal 2 binary64) i) (/.f64 #s(literal 1 binary64) (*.f64 i i)))
(*.f64 #s(literal 2 binary64) (pow.f64 i #s(literal -1 binary64)))
(pow.f64 (*.f64 #s(literal 1/2 binary64) i) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) i) (*.f64 (neg.f64 i) i))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) i))
(/.f64 (/.f64 #s(literal -2 binary64) i) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))
(/.f64 #s(literal -2 binary64) (neg.f64 i))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) i))
(/.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 i i))
(/.f64 #s(literal 2 binary64) i)
(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 1/2 binary64) i)) #s(literal -1 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 #s(literal -1 binary64) i)
(*.f64 (*.f64 (neg.f64 i) i) (pow.f64 i #s(literal -1 binary64)))
(*.f64 (neg.f64 i) #s(literal 1 binary64))
(*.f64 i #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 i) (neg.f64 i))) i)
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 i) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (neg.f64 i) (neg.f64 i)) (*.f64 #s(literal 0 binary64) (neg.f64 i)))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64)))) (neg.f64 (fma.f64 i i #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 i) i)) (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) 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)))
(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))

eval72.0ms (1.1%)

Memory
7.5MiB live, 80.3MiB allocated
Compiler

Compiled 17 644 to 1 411 computations (92% saved)

prune24.0ms (0.4%)

Memory
-13.0MiB live, 25.8MiB allocated
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New4511452
Fresh000
Picked112
Done044
Total4526458
Accuracy
100.0%
Counts
458 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.7%
(*.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i))
46.5%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/.f64 i (/.f64 #s(literal -4 binary64) i)))
54.2%
#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)))
46.6%
#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)))
46.6%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
54.6%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Compiler

Compiled 169 to 81 computations (52.1% saved)

simplify149.0ms (2.4%)

Memory
4.0MiB live, 120.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01441
01637
14635
218829
3106229
4364727
5540327
6742427
0804626
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/.f64 i (/.f64 #s(literal -4 binary64) i)))
(/.f64 i (/.f64 #s(literal -4 binary64) i))
i
(/.f64 #s(literal -4 binary64) i)
#s(literal -4 binary64)
Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/.f64 i (/.f64 #s(literal -4 binary64) i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/.f64 (*.f64 i i) #s(literal -4 binary64)))
(/.f64 i (/.f64 #s(literal -4 binary64) i))
(/.f64 (*.f64 i i) #s(literal -4 binary64))
i
(/.f64 #s(literal -4 binary64) i)
#s(literal -4 binary64)

localize43.0ms (0.7%)

Memory
3.4MiB live, 40.6MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 #s(literal -4 binary64) i)
accuracy0.13671875
(/.f64 i (/.f64 #s(literal -4 binary64) i))
accuracy34.19361461406653
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/.f64 i (/.f64 #s(literal -4 binary64) i)))
Samples
19.0ms256×0valid
Compiler

Compiled 37 to 15 computations (59.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-div: 6.0ms (45% of total)
ival-mult: 6.0ms (45% of total)
ival-sub: 1.0ms (7.5% 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
3.7MiB live, 3.7MiB allocated
Counts
3 → 9
Calls
Call 1
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/.f64 i (/.f64 #s(literal -4 binary64) i)))
(/.f64 i (/.f64 #s(literal -4 binary64) i))
(/.f64 #s(literal -4 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))
(/ -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))))))
Calls

3 calls:

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

simplify192.0ms (3%)

Memory
-28.0MiB live, 240.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04598
18498
218697
343193
489893
5165293
6288393
7552093
8661993
0817790
Stop Event
iter limit
node limit
Counts
9 → 9
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))
(/ -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))))))
Outputs
(* -1/4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal -1/4 binary64))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(*.f64 (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 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 #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))))

rewrite100.0ms (1.6%)

Memory
26.9MiB live, 146.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01439
01633
18831
273823
0907822
Stop Event
iter limit
node limit
iter limit
Counts
3 → 161
Calls
Call 1
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/.f64 i (/.f64 #s(literal -4 binary64) i)))
(/.f64 i (/.f64 #s(literal -4 binary64) i))
(/.f64 #s(literal -4 binary64) 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)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) i)) (pow.f64 i #s(literal 3 binary64)))
(*.f64 (/.f64 i #s(literal -1 binary64)) (*.f64 #s(literal 1/4 binary64) i))
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) i) #s(literal -1 binary64)) i)
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 i)) (*.f64 #s(literal 1/4 binary64) i))
(*.f64 (*.f64 (*.f64 i #s(literal -1/2 binary64)) i) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 (neg.f64 i) i) (*.f64 #s(literal 1/4 binary64) i)) (pow.f64 i #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (neg.f64 i) i) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 i #s(literal 1/2 binary64)) i)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal -4 binary64) i) i) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal -4 binary64) i) i) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) i) #s(literal -1 binary64)) (neg.f64 i))
(*.f64 (/.f64 (neg.f64 i) #s(literal 1 binary64)) (*.f64 #s(literal 1/4 binary64) i))
(*.f64 (neg.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/4 binary64))) (pow.f64 i #s(literal -1 binary64)))
(*.f64 (neg.f64 (*.f64 (*.f64 i #s(literal 1/2 binary64)) i)) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 i #s(literal 1/2 binary64)) i))
(*.f64 (*.f64 #s(literal -1 binary64) (*.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 3 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) i))
(*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 i i)) (pow.f64 i #s(literal 4 binary64)))
(*.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) i))
(*.f64 (*.f64 i #s(literal -1/2 binary64)) (*.f64 i #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/4 binary64) (/.f64 i (pow.f64 i #s(literal -1 binary64))))
(*.f64 #s(literal -1/4 binary64) (pow.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(*.f64 (*.f64 (*.f64 i #s(literal 1/2 binary64)) i) (/.f64 i (*.f64 #s(literal -2 binary64) i)))
(*.f64 (*.f64 (*.f64 i #s(literal 1/2 binary64)) i) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal 1/4 binary64) i) (neg.f64 i))
(*.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (*.f64 i #s(literal 1/2 binary64)) i)))
(*.f64 (*.f64 i #s(literal 1/2 binary64)) (*.f64 i #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) i))
(*.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (/.f64 (neg.f64 i) (pow.f64 i #s(literal -1 binary64))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (neg.f64 i) i))
(*.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) i)))
(*.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/2 binary64)) (neg.f64 (/.f64 #s(literal 1/2 binary64) i)))
(*.f64 (pow.f64 i #s(literal 3 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) i)))
(*.f64 (pow.f64 i #s(literal 3 binary64)) (/.f64 (neg.f64 i) (*.f64 #s(literal 4 binary64) (*.f64 i i))))
(*.f64 (pow.f64 i #s(literal 3 binary64)) (/.f64 i (*.f64 #s(literal -4 binary64) (*.f64 i i))))
(*.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 (neg.f64 i) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -2 binary64))))
(*.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 i (/.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(*.f64 (pow.f64 i #s(literal 3 binary64)) (neg.f64 (/.f64 #s(literal 1/4 binary64) i)))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 i i)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -2 binary64)) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(*.f64 (*.f64 #s(literal -1/4 binary64) i) (pow.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal -1/4 binary64) i) i)
(*.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -2 binary64)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) #s(literal 1 binary64))
(*.f64 (neg.f64 i) (*.f64 #s(literal 1/4 binary64) i))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) #s(literal -1 binary64))
(*.f64 (pow.f64 i #s(literal 4 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(*.f64 (*.f64 i i) (*.f64 (/.f64 #s(literal 1/2 binary64) i) (*.f64 i #s(literal -1/2 binary64))))
(*.f64 (*.f64 i i) #s(literal -1/4 binary64))
(*.f64 i (/.f64 (*.f64 (*.f64 i #s(literal 1/2 binary64)) i) (*.f64 #s(literal -2 binary64) i)))
(*.f64 i (/.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 i i))))
(*.f64 i (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 i i))))
(*.f64 i (*.f64 #s(literal 1/2 binary64) (*.f64 i #s(literal -1/2 binary64))))
(*.f64 i (*.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -2 binary64))))
(*.f64 i (*.f64 (pow.f64 i #s(literal 3 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(*.f64 i (*.f64 #s(literal -1/4 binary64) i))
(pow.f64 (/.f64 (/.f64 #s(literal -4 binary64) i) i) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) i)
(/.f64 (/.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal -1/2 binary64)) i) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 i #s(literal 3 binary64)))) i)
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 i i))) #s(literal 2 binary64))
(/.f64 (/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) i) i)) #s(literal 2 binary64))
(/.f64 (/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 i i)))
(/.f64 (/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (*.f64 i i)) #s(literal 4 binary64))
(/.f64 (/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) i) (*.f64 #s(literal 4 binary64) i))
(/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 i #s(literal -4 binary64))) i)
(/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) i) i))
(/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 i i)))
(/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -4 binary64)) (*.f64 i i))
(/.f64 (/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) i)) i)
(/.f64 (/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 4 binary64)) (*.f64 i i))
(/.f64 (/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) i) i))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) i)) (*.f64 i (pow.f64 i #s(literal -4 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) i)) (/.f64 #s(literal 2 binary64) (pow.f64 i #s(literal 3 binary64))))
(/.f64 (*.f64 (*.f64 (*.f64 i #s(literal 1/2 binary64)) i) (*.f64 i #s(literal -1/2 binary64))) i)
(/.f64 (*.f64 i (*.f64 i #s(literal -1/2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 i #s(literal -1/2 binary64)) (*.f64 (*.f64 i #s(literal 1/2 binary64)) i)) i)
(/.f64 (*.f64 (*.f64 i #s(literal -1/2 binary64)) (*.f64 (neg.f64 i) i)) (*.f64 #s(literal -2 binary64) i))
(/.f64 (*.f64 (*.f64 (neg.f64 i) i) (*.f64 #s(literal 1/4 binary64) (*.f64 i i))) (*.f64 i i))
(/.f64 (*.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (/.f64 #s(literal 1/4 binary64) i)) i)
(/.f64 (*.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 1/4 binary64)) (*.f64 i i))
(/.f64 (*.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) i) i))
(/.f64 (*.f64 (neg.f64 i) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) i))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 i)) (/.f64 #s(literal 4 binary64) i))
(/.f64 (*.f64 (*.f64 i #s(literal -1/2 binary64)) i) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (neg.f64 i) i) (*.f64 #s(literal 1/4 binary64) i)) i)
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 i #s(literal 1/2 binary64)) i)) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (*.f64 #s(literal 1/4 binary64) (*.f64 i i)))) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 i i))))
(/.f64 (/.f64 i (pow.f64 i #s(literal -1 binary64))) #s(literal -4 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 i i))))))
(/.f64 (neg.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/4 binary64))) i)
(/.f64 (neg.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64))) (*.f64 i i))
(/.f64 (neg.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) i) i))
(/.f64 (neg.f64 (*.f64 (*.f64 i #s(literal 1/2 binary64)) i)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (neg.f64 i) i) (*.f64 (*.f64 i #s(literal 1/2 binary64)) i)) (*.f64 (*.f64 #s(literal 2 binary64) i) i))
(/.f64 (*.f64 i #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) i))
(/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 i i)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/4 binary64))) i)
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64))) (*.f64 i i))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) i) i))
(/.f64 (*.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 i i)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 i i)) #s(literal -4 binary64))
(/.f64 (*.f64 (*.f64 (neg.f64 i) i) #s(literal 1 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/4 binary64)) (neg.f64 i))
(/.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i))
(/.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) i) i))
(/.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 i i)) (pow.f64 i #s(literal -4 binary64)))
(/.f64 (*.f64 i #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) i))
(/.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal -2 binary64)))
(/.f64 (*.f64 (*.f64 i #s(literal 1/2 binary64)) i) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 1/4 binary64) i) (/.f64 #s(literal -1 binary64) i))
(/.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal -1/2 binary64)) (neg.f64 (*.f64 #s(literal -2 binary64) i)))
(/.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) i))
(/.f64 (*.f64 (neg.f64 i) i) #s(literal 4 binary64))
(/.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) i))
(/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 i #s(literal -4 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 i #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) i)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
(/.f64 (*.f64 #s(literal -1/4 binary64) i) (pow.f64 i #s(literal -1 binary64)))
(/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 i i)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) #s(literal 1 binary64))
(/.f64 (neg.f64 i) (/.f64 #s(literal 4 binary64) i))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) i) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -4 binary64) i) i))
(/.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 i i)))
(/.f64 (*.f64 i i) #s(literal -4 binary64))
(/.f64 i (/.f64 #s(literal -4 binary64) i))
(neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) i)) (*.f64 #s(literal 1/4 binary64) (*.f64 i i)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (*.f64 i i))) (*.f64 #s(literal 1/4 binary64) (*.f64 i i)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 i i)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal -4 binary64) i) i)) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(*.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) i) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal -1/4 binary64) i) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) i) #s(literal 4 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) i))
(*.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal -4 binary64))
(*.f64 #s(literal 4 binary64) (/.f64 (/.f64 #s(literal -1 binary64) i) #s(literal 1 binary64)))
(*.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) i))
(*.f64 (/.f64 #s(literal -4 binary64) i) #s(literal 1 binary64))
(*.f64 #s(literal -4 binary64) (/.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal -4 binary64) (pow.f64 i #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) i))
(pow.f64 (*.f64 #s(literal -1/4 binary64) i) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal -4 binary64) i) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/4 binary64) i))
(/.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal -1/4 binary64))
(/.f64 #s(literal 4 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 i)))
(/.f64 #s(literal 4 binary64) (neg.f64 i))
(/.f64 (/.f64 #s(literal 4 binary64) i) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -4 binary64) i) #s(literal 1 binary64))
(/.f64 #s(literal -4 binary64) i)
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) i))
(neg.f64 (/.f64 (/.f64 #s(literal 4 binary64) i) #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal 4 binary64) i))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) i))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/4 binary64) i)) #s(literal -1 binary64)))

eval18.0ms (0.3%)

Memory
-2.4MiB live, 36.9MiB allocated
Compiler

Compiled 5 947 to 532 computations (91.1% saved)

prune20.0ms (0.3%)

Memory
-21.9MiB live, 17.4MiB allocated
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New1700170
Fresh000
Picked011
Done055
Total1706176
Accuracy
100.0%
Counts
176 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.7%
(*.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i))
46.5%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/.f64 i (/.f64 #s(literal -4 binary64) i)))
54.2%
#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)))
46.6%
#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)))
46.6%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
54.6%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Compiler

Compiled 445 to 137 computations (69.2% saved)

regimes7.0ms (0.1%)

Memory
12.4MiB live, 12.3MiB allocated
Counts
10 → 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 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.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)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/.f64 i (/.f64 #s(literal -4 binary64) i)))
(*.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/.f64 (/.f64 i #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) i)))
(/.f64 (*.f64 #s(literal 1/2 binary64) i) (*.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Outputs
(*.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Calls

2 calls:

3.0ms
i
3.0ms
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
100.0%2i
78.3%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)

regimes3.0ms (0%)

Memory
5.1MiB live, 5.1MiB allocated
Counts
6 → 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 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.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)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/.f64 i (/.f64 #s(literal -4 binary64) i)))
Outputs
#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)))
#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
99.7%2i
Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory
4.8MiB live, 4.8MiB 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 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i)))
Outputs
#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)))
#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
99.6%2i
Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory
4.6MiB live, 4.6MiB 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
99.6%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
99.4%2i
Compiler

Compiled 1 to 1 computations (0% saved)

regimes23.0ms (0.4%)

Memory
-33.0MiB live, 6.0MiB 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:

21.0ms
(/.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)))
1.0ms
i
Results
AccuracySegmentsBranch
54.6%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)))
54.6%1i
Compiler

Compiled 26 to 11 computations (57.7% saved)

bsearch7.0ms (0.1%)

Memory
16.2MiB live, 16.2MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
6.0ms
827.9797069635129
61582772.53257533
Samples
4.0ms64×0valid
Compiler

Compiled 184 to 106 computations (42.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div: 1.0ms (39.4% of total)
ival-mult: 1.0ms (39.4% of total)
ival-sub: 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)

bsearch31.0ms (0.5%)

Memory
-16.6MiB live, 23.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
0.05875680378679866
827.9797069635129
Samples
7.0ms128×0valid
Compiler

Compiled 572 to 286 computations (50% saved)

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

bsearch1.0ms (0%)

Memory
2.9MiB live, 2.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.05875680378679866
827.9797069635129
Compiler

Compiled 524 to 254 computations (51.5% saved)

bsearch1.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.05875680378679866
827.9797069635129
Compiler

Compiled 524 to 254 computations (51.5% saved)

bsearch1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.05875680378679866
827.9797069635129
Compiler

Compiled 492 to 238 computations (51.6% saved)

simplify180.0ms (2.8%)

Memory
20.7MiB live, 57.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
044336
176316
2234276
31145256
42625246
54862236
67372236
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 i #s(literal 20000000 binary64)) (*.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) 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 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.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))))
(if (<=.f64 i #s(literal 1/2 binary64)) #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))) #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)) #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 20000000 binary64)) (*.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) 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 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.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))))
(if (<=.f64 i #s(literal 1/2 binary64)) #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))) #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)) #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))

soundness907.0ms (14.4%)

Memory
14.6MiB live, 331.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049123
194123
2218122
3510118
41090118
52132118
64138118
76263118
08099113
01063
01747
17541
265329
0877227
032196
045168
1186160
21344129
09078127
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 450 to 114 computations (74.7% saved)

preprocess63.0ms (1%)

Memory
-4.0MiB live, 115.5MiB allocated
Remove

(abs i)

Compiler

Compiled 808 to 154 computations (80.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...