Octave 3.8, jcobi/4, as called

Time bar (total: 3.9s)

start0.0ms (0%)

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

analyze3.0ms (0.1%)

Memory
5.9MiB live, 5.9MiB allocated; 0ms collecting garbage
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)

sample1.3s (33.5%)

Memory
41.6MiB live, 1 544.3MiB allocated; 334ms collecting garbage
Samples
933.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 626.0ms
ival-mult: 292.0ms (46.7% of total)
ival-div: 148.0ms (23.7% of total)
ival-sub: 93.0ms (14.9% of total)
ival->: 72.0ms (11.5% of total)
exact: 15.0ms (2.4% of total)
ival-assert: 4.0ms (0.6% of total)
adjust: 3.0ms (0.5% of total)
Bogosity

explain212.0ms (5.4%)

Memory
2.6MiB live, 286.4MiB allocated; 37ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1971(9.443590387730494e-162)1(1.8259233667048401e-78)(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
620-0-(/.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)))u/u650
(*.f64 (*.f64 i i) (*.f64 i i))underflow106
(*.f64 i i)underflow130
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))underflow65
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))o/o620
(*.f64 (*.f64 i i) (*.f64 i i))overflow91
(*.f64 i i)overflow124
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))overflow62
/.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/o620
(*.f64 (*.f64 i i) (*.f64 i i))overflow91
(*.f64 i i)overflow124
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))overflow62
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))overflow62
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))overflow62
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))overflow62
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))u/n410
(*.f64 (*.f64 i i) (*.f64 i i))underflow106
(*.f64 i i)underflow130
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))o/n290
(*.f64 (*.f64 i i) (*.f64 i i))overflow91
(*.f64 i i)overflow124
Confusion
Predicted +Predicted -
+1961
-158
Precision
0.9949238578680203
Recall
0.9949238578680203
Confusion?
Predicted +Predicted MaybePredicted -
+19601
-1058
Precision?
0.9949238578680203
Recall?
0.9949238578680203
Freqs
test
numberfreq
059
1135
262
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
49.0ms512×0valid
Compiler

Compiled 173 to 34 computations (80.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-mult: 22.0ms (69.9% of total)
ival-div: 6.0ms (19.1% of total)
ival-sub: 3.0ms (9.5% of total)
exact: 1.0ms (3.2% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess229.0ms (5.8%)

Memory
6.0MiB live, 327.3MiB allocated; 53ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01243
16243
251926
3442026
01025
01721
15619
240013
3344313
0967712
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 #s(literal 1/4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 i i))
Symmetry

(abs i)

Compiler

Compiled 25 to 10 computations (60% saved)

eval0.0ms (0%)

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

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
25.5%
(/.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)

simplify178.0ms (4.5%)

Memory
-26.7MiB live, 213.2MiB allocated; 57ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01072
01762
15656
240042
3344342
0967740
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 #s(literal 1/4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 i i))
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
(*.f64 (*.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)

localize44.0ms (1.1%)

Memory
18.6MiB live, 124.0MiB allocated; 8ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 #s(literal 2 binary64) i)
accuracy0.10546875
(*.f64 (*.f64 i i) (*.f64 i i))
accuracy15.021063347142775
(/.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)))
accuracy44.15234392489861
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
Samples
22.0ms256×0valid
Compiler

Compiled 74 to 12 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 6.0ms (53.5% of total)
ival-div: 3.0ms (26.8% of total)
ival-sub: 1.0ms (8.9% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series27.0ms (0.7%)

Memory
-28.4MiB live, 18.2MiB allocated; 2ms collecting garbage
Counts
6 → 15
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
(*.f64 (*.f64 i i) (*.f64 i i))
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) i)
Outputs
(* 1/4 (pow i 2))
(pow i 4)
(* 4 (pow i 2))
-1
(- (* 4 (pow i 2)) 1)
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(* 2 i)
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
Calls

3 calls:

TimeVariablePointExpression
23.0ms
i
@-inf
((/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* i i) (* i i)) (* (* 2 i) (* 2 i)) (- (* (* 2 i) (* 2 i)) 1) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* 2 i))
2.0ms
i
@inf
((/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* i i) (* i i)) (* (* 2 i) (* 2 i)) (- (* (* 2 i) (* 2 i)) 1) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* 2 i))
2.0ms
i
@0
((/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* i i) (* i i)) (* (* 2 i) (* 2 i)) (- (* (* 2 i) (* 2 i)) 1) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* 2 i))

simplify115.0ms (2.9%)

Memory
45.4MiB live, 182.1MiB allocated; 15ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050130
195130
2232130
3665130
42942130
08265123
Stop Event
iter limit
node limit
Counts
15 → 15
Calls
Call 1
Inputs
(* 1/4 (pow i 2))
(pow i 4)
(* 4 (pow i 2))
-1
(- (* 4 (pow i 2)) 1)
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(* 2 i)
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
Outputs
(* 1/4 (pow i 2))
(*.f64 (*.f64 #s(literal 1/4 binary64) i) i)
(pow i 4)
(pow.f64 i #s(literal 4 binary64))
(* 4 (pow i 2))
(*.f64 #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))
(* -1/4 (pow i 2))
(*.f64 (*.f64 #s(literal -1/4 binary64) i) i)
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (*.f64 i i))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal -1 binary64)) (*.f64 i i) #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 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal -4 binary64)) (*.f64 i i) #s(literal -1 binary64)) (*.f64 i i) #s(literal -1/4 binary64)) i) i)
(* 2 i)
(*.f64 #s(literal 2 binary64) i)
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))) i) i)
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(-.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(-.f64 (-.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) #s(literal -1/16 binary64)) (-.f64 (/.f64 #s(literal -1/64 binary64) (*.f64 i i)) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64)))))

rewrite89.0ms (2.3%)

Memory
9.4MiB live, 98.2MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01066
01750
17944
071342
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
6 → 181
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
(*.f64 (*.f64 i i) (*.f64 i i))
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) i)
Outputs
(*.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 i #s(literal 4 binary64))) (/.f64 i i))
(*.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 4 binary64)) (/.f64 i (*.f64 i i)))
(*.f64 (/.f64 (*.f64 (neg.f64 i) i) (*.f64 i #s(literal 4 binary64))) (/.f64 (*.f64 (neg.f64 i) i) i))
(*.f64 (/.f64 (*.f64 (neg.f64 i) i) #s(literal 4 binary64)) (/.f64 (*.f64 (neg.f64 i) i) (*.f64 i i)))
(*.f64 (/.f64 (*.f64 (neg.f64 i) i) (*.f64 (fabs.f64 i) #s(literal 2 binary64))) (/.f64 (*.f64 (neg.f64 i) i) (*.f64 (fabs.f64 i) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (neg.f64 i) i) (*.f64 #s(literal 2 binary64) i)) (/.f64 (*.f64 (neg.f64 i) i) (*.f64 #s(literal 2 binary64) i)))
(*.f64 (/.f64 (*.f64 i i) (*.f64 i #s(literal 4 binary64))) (/.f64 (*.f64 i i) i))
(*.f64 (/.f64 (*.f64 i i) #s(literal 4 binary64)) (/.f64 (*.f64 i i) (*.f64 i i)))
(*.f64 (/.f64 (*.f64 i i) (*.f64 #s(literal -2 binary64) i)) (/.f64 (*.f64 i i) (*.f64 #s(literal -2 binary64) i)))
(*.f64 (/.f64 (*.f64 i i) (*.f64 (fabs.f64 i) #s(literal 2 binary64))) (/.f64 (*.f64 i i) (*.f64 (fabs.f64 i) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) i)) (/.f64 i (*.f64 #s(literal -2 binary64) i)))
(*.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 (fabs.f64 i) #s(literal 2 binary64))) (/.f64 i (*.f64 (fabs.f64 i) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) i)) (/.f64 i (*.f64 #s(literal 2 binary64) i)))
(*.f64 (/.f64 (*.f64 (neg.f64 i) i) #s(literal 2 binary64)) (/.f64 (*.f64 (neg.f64 i) i) (*.f64 (*.f64 #s(literal 2 binary64) i) i)))
(*.f64 (/.f64 (*.f64 i i) #s(literal 2 binary64)) (/.f64 (*.f64 i i) (*.f64 (*.f64 #s(literal 2 binary64) i) i)))
(*.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 2 binary64)) (/.f64 i (*.f64 (*.f64 #s(literal 2 binary64) i) i)))
(*.f64 (/.f64 i (*.f64 i #s(literal 4 binary64))) (/.f64 (pow.f64 i #s(literal 3 binary64)) i))
(*.f64 (/.f64 i #s(literal 4 binary64)) (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 i i)))
(*.f64 (/.f64 i (*.f64 #s(literal -2 binary64) i)) (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) i)))
(*.f64 (/.f64 i (*.f64 (fabs.f64 i) #s(literal 2 binary64))) (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 (fabs.f64 i) #s(literal 2 binary64))))
(*.f64 (/.f64 i (*.f64 #s(literal 2 binary64) i)) (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) i)))
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(*.f64 i #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 i i) (*.f64 i i)) (-.f64 i i))
(/.f64 (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 i #s(literal 3 binary64))) (fma.f64 i i (-.f64 (*.f64 i i) (*.f64 i i))))
(fma.f64 #s(literal 1 binary64) i (*.f64 #s(literal 1 binary64) i))
(fma.f64 i #s(literal 1 binary64) (*.f64 i #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) i) (*.f64 #s(literal 1 binary64) i))
(+.f64 (*.f64 i #s(literal 1 binary64)) (*.f64 i #s(literal 1 binary64)))
(+.f64 i i)

eval41.0ms (1%)

Memory
1.5MiB live, 99.5MiB allocated; 15ms collecting garbage
Compiler

Compiled 6 890 to 778 computations (88.7% saved)

prune8.0ms (0.2%)

Memory
-22.2MiB live, 23.6MiB allocated; 3ms collecting garbage
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New2606266
Fresh000
Picked101
Done000
Total2616267
Accuracy
100.0%
Counts
267 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.8%
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
47.5%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64)))
53.2%
#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)))
53.2%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal -1 binary64)) (*.f64 i i) #s(literal -1/4 binary64)) i) i))
52.8%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
47.9%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Compiler

Compiled 396 to 188 computations (52.5% saved)

simplify163.0ms (4.1%)

Memory
-16.1MiB live, 156.0MiB allocated; 93ms collecting garbage
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
(neg.f64 i)
cost-diff0
(fma.f64 (neg.f64 i) i #s(literal -1/4 binary64))
cost-diff0
(*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (*.f64 i i))
cost-diff0
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (*.f64 i i)))
cost-diff0
(*.f64 #s(literal -1/4 binary64) i)
cost-diff0
(*.f64 (*.f64 #s(literal -1/4 binary64) i) i)
cost-diff0
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
cost-diff0
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
cost-diff0
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))
cost-diff0
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
cost-diff1
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
cost-diff2
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034259
050233
1102221
2484185
33622185
08499179
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))
(*.f64 (*.f64 #s(literal 1/4 binary64) i) i)
(*.f64 #s(literal 1/4 binary64) i)
#s(literal 1/4 binary64)
i
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(*.f64 #s(literal 2 binary64) i)
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(literal 1/16 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
(*.f64 (*.f64 #s(literal -1/4 binary64) i) i)
(*.f64 #s(literal -1/4 binary64) i)
#s(literal -1/4 binary64)
i
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (*.f64 i i)))
(*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (*.f64 i i))
(fma.f64 (neg.f64 i) i #s(literal -1/4 binary64))
(neg.f64 i)
i
#s(literal -1/4 binary64)
(*.f64 i i)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (-.f64 (/.f64 #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 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))
(*.f64 (*.f64 #s(literal 1/4 binary64) i) i)
(*.f64 #s(literal 1/4 binary64) i)
#s(literal 1/4 binary64)
i
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(*.f64 (*.f64 #s(literal 4 binary64) i) i)
(*.f64 #s(literal 2 binary64) i)
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(literal 1/16 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
(*.f64 (*.f64 #s(literal -1/4 binary64) i) i)
(*.f64 #s(literal -1/4 binary64) i)
#s(literal -1/4 binary64)
i
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (*.f64 i i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 #s(literal 1/4 binary64) i (pow.f64 i #s(literal 3 binary64))) (neg.f64 i)))
(*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (*.f64 i i))
(*.f64 (fma.f64 #s(literal 1/4 binary64) i (pow.f64 i #s(literal 3 binary64))) (neg.f64 i))
(fma.f64 (neg.f64 i) i #s(literal -1/4 binary64))
(neg.f64 i)
i
#s(literal -1/4 binary64)
(*.f64 i i)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (-.f64 (/.f64 #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)

localize83.0ms (2.1%)

Memory
-6.2MiB live, 130.3MiB allocated; 41ms collecting garbage
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)
accuracy0.47726472661995273
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
accuracy33.628133328973206
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64)))
accuracy0.0
(*.f64 i i)
accuracy0.0
(neg.f64 i)
accuracy0.06640625
(*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (*.f64 i i))
accuracy29.950748883028094
#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)))
accuracy0.0
(*.f64 (*.f64 #s(literal -1/4 binary64) i) i)
accuracy0.0
(*.f64 #s(literal -1/4 binary64) i)
accuracy30.197205056907904
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
accuracy33.361828590424274
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
accuracy0.0
(*.f64 #s(literal 2 binary64) i)
accuracy0.0
(*.f64 #s(literal 1/4 binary64) i)
accuracy0.0
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))
accuracy15.021063347142775
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Samples
45.0ms256×0valid
Compiler

Compiled 225 to 27 computations (88% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-mult: 21.0ms (67% of total)
ival-div: 5.0ms (16% of total)
ival-sub: 2.0ms (6.4% of total)
ival-add: 1.0ms (3.2% of total)
exact: 1.0ms (3.2% of total)
ival-neg: 1.0ms (3.2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series8.0ms (0.2%)

Memory
21.3MiB live, 21.3MiB allocated; 0ms collecting garbage
Counts
18 → 26
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
(*.f64 (*.f64 #s(literal -1/4 binary64) i) i)
(*.f64 #s(literal -1/4 binary64) i)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (*.f64 i i)))
(*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (*.f64 i i))
(fma.f64 (neg.f64 i) 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))
(*.f64 i i)
(*.f64 #s(literal 1/4 binary64) i)
(*.f64 #s(literal 2 binary64) i)
Outputs
(* 4 (pow i 2))
-1
(- (* 4 (pow i 2)) 1)
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(* 1/4 (pow i 2))
(* -1/4 i)
-1/4
(- (* -1 (pow i 2)) 1/4)
(* -1 i)
(/ 1/64 (pow i 2))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(pow i 2)
(* 1/4 i)
(* 2 i)
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (pow i 2))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
Calls

3 calls:

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

simplify163.0ms (4.1%)

Memory
10.0MiB live, 288.9MiB allocated; 40ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064191
1150191
2454179
31880179
08217173
Stop Event
iter limit
node limit
Counts
26 → 26
Calls
Call 1
Inputs
(* 4 (pow i 2))
-1
(- (* 4 (pow i 2)) 1)
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(* 1/4 (pow i 2))
(* -1/4 i)
-1/4
(- (* -1 (pow i 2)) 1/4)
(* -1 i)
(/ 1/64 (pow i 2))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(pow i 2)
(* 1/4 i)
(* 2 i)
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (pow i 2))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
Outputs
(* 4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
-1
#s(literal -1 binary64)
(- (* 4 (pow i 2)) 1)
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 (*.f64 (-.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 (*.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal -1 binary64)) (*.f64 i i) #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 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal -4 binary64)) (*.f64 i i) #s(literal -1 binary64)) (*.f64 i i) #s(literal -1/4 binary64)) i) i)
(* 1/4 (pow i 2))
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
-1/4
#s(literal -1/4 binary64)
(- (* -1 (pow i 2)) 1/4)
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1 i)
(neg.f64 i)
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64))
(pow i 2)
(*.f64 i i)
(* 1/4 i)
(*.f64 #s(literal 1/4 binary64) i)
(* 2 i)
(*.f64 #s(literal 2 binary64) i)
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))) i) i)
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(-.f64 (-.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal -1/16 binary64)) (/.f64 #s(literal -1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (/.f64 #s(literal -1/64 binary64) (*.f64 i i))) (/.f64 #s(literal -1/1024 binary64) (pow.f64 i #s(literal 6 binary64)))) #s(literal -1/16 binary64))
(* -1 (pow i 4))
(neg.f64 (pow.f64 i #s(literal 4 binary64)))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 i i)) #s(literal 1 binary64)) (pow.f64 i #s(literal 4 binary64)))
(* -1 (pow i 2))
(*.f64 (neg.f64 i) i)
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))

rewrite62.0ms (1.6%)

Memory
-26.1MiB live, 72.7MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034239
050201
1158189
01116183
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
18 → 190
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
(*.f64 (*.f64 #s(literal -1/4 binary64) i) i)
(*.f64 #s(literal -1/4 binary64) i)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (*.f64 i i)))
(*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (*.f64 i i))
(fma.f64 (neg.f64 i) 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))
(*.f64 i i)
(*.f64 #s(literal 1/4 binary64) i)
(*.f64 #s(literal 2 binary64) i)
Outputs
(*.f64 (*.f64 #s(literal 4 binary64) (fabs.f64 i)) (fabs.f64 i))
(*.f64 (*.f64 #s(literal 4 binary64) (neg.f64 i)) (neg.f64 i))
(*.f64 (*.f64 #s(literal 4 binary64) i) i)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 (fabs.f64 i) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fabs.f64 i) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (*.f64 #s(literal -2 binary64) i)) (neg.f64 (*.f64 #s(literal -2 binary64) i)))
(*.f64 (neg.f64 (*.f64 (fabs.f64 i) #s(literal 2 binary64))) (neg.f64 (*.f64 (fabs.f64 i) #s(literal 2 binary64))))
(*.f64 (fabs.f64 (*.f64 (fabs.f64 i) #s(literal 2 binary64))) (fabs.f64 (*.f64 (fabs.f64 i) #s(literal 2 binary64))))
(*.f64 (pow.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 i #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 i i) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (*.f64 i #s(literal 4 binary64)) (*.f64 i #s(literal 1 binary64)))
(*.f64 (*.f64 i #s(literal 4 binary64)) i)
(*.f64 #s(literal 4 binary64) (*.f64 (*.f64 i i) #s(literal 1 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 i i))
(*.f64 (*.f64 #s(literal -2 binary64) i) (*.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) i) (*.f64 #s(literal -2 binary64) i))
(*.f64 (*.f64 (fabs.f64 i) #s(literal 2 binary64)) (*.f64 (*.f64 (fabs.f64 i) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (fabs.f64 i) #s(literal 2 binary64)) (*.f64 (fabs.f64 i) #s(literal 2 binary64)))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 i #s(literal 2 binary64)) (*.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 i #s(literal 2 binary64)) (*.f64 i #s(literal 2 binary64)))
(*.f64 i (*.f64 i #s(literal 4 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 i i)))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 i i) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 i i) #s(literal 2 binary64)))
(pow.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 2 binary64))
(pow.f64 (*.f64 (fabs.f64 i) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -4 binary64) (*.f64 i i)))
(fma.f64 (*.f64 i i) #s(literal 2 binary64) (*.f64 (*.f64 i i) #s(literal 2 binary64)))
(fma.f64 (*.f64 i #s(literal 2 binary64)) i (*.f64 (*.f64 i i) #s(literal 2 binary64)))
(fma.f64 i (*.f64 i #s(literal 2 binary64)) (*.f64 (*.f64 i i) #s(literal 2 binary64)))
(fabs.f64 (pow.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 i #s(literal 2 binary64))) #s(literal 2 binary64)))
(+.f64 (*.f64 (*.f64 i i) #s(literal 2 binary64)) (*.f64 (*.f64 i i) #s(literal 2 binary64)))
(*.f64 (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 1 binary64)))
(*.f64 (fma.f64 (fabs.f64 i) #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 (fabs.f64 i) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)))
(*.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64)))))
(/.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))))
(fma.f64 (*.f64 #s(literal 4 binary64) (fabs.f64 i)) (fabs.f64 i) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) (neg.f64 i)) (neg.f64 i) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 (*.f64 (fabs.f64 i) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fabs.f64 i) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (*.f64 #s(literal -2 binary64) i)) (neg.f64 (*.f64 #s(literal -2 binary64) i)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (*.f64 (fabs.f64 i) #s(literal 2 binary64))) (neg.f64 (*.f64 (fabs.f64 i) #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (*.f64 (fabs.f64 i) #s(literal 2 binary64))) (fabs.f64 (*.f64 (fabs.f64 i) #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 i #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 (*.f64 i i) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 i #s(literal 4 binary64)) (*.f64 i #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 i #s(literal 4 binary64)) i #s(literal -1 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal -2 binary64) i) (*.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal -2 binary64) i) (*.f64 #s(literal -2 binary64) i) #s(literal -1 binary64))
(fma.f64 (*.f64 (fabs.f64 i) #s(literal 2 binary64)) (*.f64 (*.f64 (fabs.f64 i) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 (fabs.f64 i) #s(literal 2 binary64)) (*.f64 (fabs.f64 i) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 i #s(literal 2 binary64)) (*.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 i #s(literal 2 binary64)) (*.f64 i #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 i i)) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 i i) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 i i) #s(literal 2 binary64)) #s(literal -1 binary64))
(expm1.f64 (*.f64 (log.f64 (*.f64 i #s(literal 2 binary64))) #s(literal 2 binary64)))
(-.f64 (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 6 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64)))))
(-.f64 (pow.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 (pow.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (-.f64 (pow.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))))
(/.f64 (neg.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))) (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
(neg.f64 (/.f64 (neg.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(neg.f64 (/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (fabs.f64 i)) (fabs.f64 i))
(*.f64 (*.f64 #s(literal -1/4 binary64) (neg.f64 i)) (neg.f64 i))
(*.f64 (*.f64 i i) #s(literal -1/4 binary64))
(*.f64 (*.f64 #s(literal -1/4 binary64) i) i)
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(*.f64 i (*.f64 #s(literal -1/4 binary64) i))
(*.f64 #s(literal -1/4 binary64) i)
(*.f64 i #s(literal -1/4 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) i) i))
(*.f64 (*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (fabs.f64 i)) (fabs.f64 i))
(*.f64 (*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (neg.f64 i)) (neg.f64 i))
(*.f64 (*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) i) i)
(*.f64 (fabs.f64 i) (*.f64 (fabs.f64 i) (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64))))
(*.f64 (*.f64 i i) (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)))
(*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (*.f64 i i))
(*.f64 (neg.f64 i) (*.f64 (neg.f64 i) (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64))))
(*.f64 i (*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) i))
(/.f64 (*.f64 (-.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 i i)) (-.f64 (*.f64 (neg.f64 i) i) #s(literal -1/4 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 i) i) #s(literal 3 binary64)) #s(literal -1/64 binary64)) (*.f64 i i)) (fma.f64 #s(literal -1/4 binary64) (-.f64 #s(literal -1/4 binary64) (*.f64 (neg.f64 i) i)) (pow.f64 i #s(literal 4 binary64))))
(/.f64 (*.f64 (*.f64 i i) (-.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64))) (-.f64 (*.f64 (neg.f64 i) i) #s(literal -1/4 binary64)))
(/.f64 (*.f64 (*.f64 i i) (+.f64 (pow.f64 (*.f64 (neg.f64 i) i) #s(literal 3 binary64)) #s(literal -1/64 binary64))) (fma.f64 #s(literal -1/4 binary64) (-.f64 #s(literal -1/4 binary64) (*.f64 (neg.f64 i) i)) (pow.f64 i #s(literal 4 binary64))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (fabs.f64 i)) (fabs.f64 i) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (neg.f64 i)) (neg.f64 i) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64))) i (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(fma.f64 (pow.f64 i #s(literal 3 binary64)) (neg.f64 i) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(fma.f64 (*.f64 i i) (*.f64 (neg.f64 i) i) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(fma.f64 (*.f64 i i) #s(literal -1/4 binary64) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 (neg.f64 i) (pow.f64 i #s(literal 3 binary64)) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(fma.f64 (*.f64 #s(literal -1/4 binary64) i) i (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 i i) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 i (neg.f64 (pow.f64 i #s(literal 3 binary64))) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(fma.f64 i (*.f64 #s(literal -1/4 binary64) i) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(+.f64 (*.f64 (*.f64 i i) #s(literal -1/4 binary64)) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(+.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(/.f64 (-.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64))) (-.f64 #s(literal -1/4 binary64) (*.f64 (neg.f64 i) i)))
(/.f64 (neg.f64 (-.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64))) (neg.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal -1/4 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 i) i) #s(literal 3 binary64)) #s(literal -1/64 binary64))) (neg.f64 (fma.f64 #s(literal -1/4 binary64) (-.f64 #s(literal -1/4 binary64) (*.f64 (neg.f64 i) i)) (pow.f64 i #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)) (-.f64 (*.f64 (neg.f64 i) i) #s(literal -1/4 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 i) i) #s(literal 3 binary64)) #s(literal -1/64 binary64)) (+.f64 #s(literal 1/16 binary64) (-.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 i) i) #s(literal -1/4 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 i) i) #s(literal 3 binary64)) #s(literal -1/64 binary64)) (fma.f64 #s(literal -1/4 binary64) (-.f64 #s(literal -1/4 binary64) (*.f64 (neg.f64 i) i)) (pow.f64 i #s(literal 4 binary64))))
(fma.f64 (neg.f64 (fabs.f64 i)) (fabs.f64 i) #s(literal -1/4 binary64))
(fma.f64 (neg.f64 (neg.f64 i)) (neg.f64 i) #s(literal -1/4 binary64))
(fma.f64 (fabs.f64 i) (neg.f64 (fabs.f64 i)) #s(literal -1/4 binary64))
(fma.f64 (neg.f64 i) (neg.f64 (neg.f64 i)) #s(literal -1/4 binary64))
(fma.f64 (neg.f64 i) i #s(literal -1/4 binary64))
(fma.f64 i (neg.f64 i) #s(literal -1/4 binary64))
(-.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) (-.f64 (*.f64 (neg.f64 i) i) #s(literal -1/4 binary64))) (/.f64 #s(literal 1/16 binary64) (-.f64 (*.f64 (neg.f64 i) i) #s(literal -1/4 binary64))))
(-.f64 #s(literal -1/4 binary64) (*.f64 (neg.f64 (neg.f64 i)) i))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(+.f64 (/.f64 (pow.f64 (*.f64 (neg.f64 i) i) #s(literal 3 binary64)) (fma.f64 #s(literal -1/4 binary64) (-.f64 #s(literal -1/4 binary64) (*.f64 (neg.f64 i) i)) (pow.f64 i #s(literal 4 binary64)))) (/.f64 #s(literal -1/64 binary64) (fma.f64 #s(literal -1/4 binary64) (-.f64 #s(literal -1/4 binary64) (*.f64 (neg.f64 i) i)) (pow.f64 i #s(literal 4 binary64)))))
(+.f64 (*.f64 (neg.f64 i) i) #s(literal -1/4 binary64))
(+.f64 #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 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64)))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/256 binary64))) (neg.f64 (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 3 binary64)) #s(literal -1/4096 binary64))) (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/256 binary64)) (/.f64 #s(literal -1/1024 binary64) (*.f64 i i)))))
(/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/256 binary64)) (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 3 binary64)) #s(literal -1/4096 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/256 binary64)) (/.f64 #s(literal -1/1024 binary64) (*.f64 i i))))
(-.f64 (/.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))) (/.f64 #s(literal 1/256 binary64) (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 3 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/256 binary64)) (/.f64 #s(literal -1/1024 binary64) (*.f64 i i)))) (/.f64 #s(literal -1/4096 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/256 binary64)) (/.f64 #s(literal -1/1024 binary64) (*.f64 i i)))))
(-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64))
(/.f64 (/.f64 #s(literal -1/64 binary64) i) (neg.f64 i))
(/.f64 (/.f64 #s(literal 1/64 binary64) (fabs.f64 i)) (fabs.f64 i))
(/.f64 (/.f64 #s(literal 1/64 binary64) (neg.f64 i)) (neg.f64 i))
(/.f64 (neg.f64 (/.f64 #s(literal 1/64 binary64) i)) (neg.f64 i))
(/.f64 (/.f64 #s(literal 1/64 binary64) i) i)
(/.f64 #s(literal -1/64 binary64) (*.f64 (neg.f64 i) i))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(neg.f64 (/.f64 #s(literal -1/64 binary64) (*.f64 i i)))
(neg.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 (neg.f64 i) i)))
(*.f64 (neg.f64 (fabs.f64 i)) (neg.f64 (fabs.f64 i)))
(*.f64 (neg.f64 (neg.f64 i)) (neg.f64 (neg.f64 i)))
(*.f64 (fabs.f64 (fabs.f64 i)) (fabs.f64 (fabs.f64 i)))
(*.f64 (pow.f64 i #s(literal 1 binary64)) (pow.f64 i #s(literal 1 binary64)))
(*.f64 (pow.f64 i #s(literal 1 binary64)) i)
(*.f64 (fabs.f64 i) (fabs.f64 i))
(*.f64 (neg.f64 i) (neg.f64 i))
(*.f64 i i)
(pow.f64 (fabs.f64 i) #s(literal 2 binary64))
(pow.f64 (neg.f64 i) #s(literal 2 binary64))
(pow.f64 i #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 i) i))
(sqrt.f64 (pow.f64 i #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 i) i))
(fabs.f64 (*.f64 i i))
(exp.f64 (*.f64 (log.f64 i) #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) i)
(*.f64 i #s(literal 1/4 binary64))
(*.f64 i #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) i)
(/.f64 (-.f64 (*.f64 i i) (*.f64 i i)) (-.f64 i i))
(/.f64 (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 i #s(literal 3 binary64))) (fma.f64 i i (-.f64 (*.f64 i i) (*.f64 i i))))
(fma.f64 #s(literal 1 binary64) i (*.f64 #s(literal 1 binary64) i))
(fma.f64 i #s(literal 1 binary64) (*.f64 i #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) i) (*.f64 #s(literal 1 binary64) i))
(+.f64 (*.f64 i #s(literal 1 binary64)) (*.f64 i #s(literal 1 binary64)))
(+.f64 i i)

eval30.0ms (0.8%)

Memory
-2.4MiB live, 87.3MiB allocated; 10ms collecting garbage
Compiler

Compiled 8 501 to 771 computations (90.9% saved)

prune9.0ms (0.2%)

Memory
28.6MiB live, 28.6MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New2373240
Fresh101
Picked145
Done000
Total2397246
Accuracy
100.0%
Counts
246 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.8%
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
53.2%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 (*.f64 i i) #s(literal -1/4 binary64))))
47.5%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64)))
53.2%
#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)))
53.2%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
52.8%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
47.9%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Compiler

Compiled 228 to 107 computations (53.1% saved)

simplify170.0ms (4.3%)

Memory
5.6MiB live, 251.3MiB allocated; 33ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

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

Useful iterations: 2 (0.0ms)

IterNodesCost
029199
043179
1105169
2572145
34229145
08422145
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 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
(*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i 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)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 (*.f64 i i) #s(literal -1/4 binary64))))
(fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(*.f64 (neg.f64 i) i)
(neg.f64 i)
i
(*.f64 i i)
(*.f64 (*.f64 i i) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))
(*.f64 (*.f64 #s(literal 1/4 binary64) i) i)
(*.f64 #s(literal 1/4 binary64) i)
#s(literal 1/4 binary64)
i
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
(*.f64 i i)
#s(literal 4 binary64)
#s(literal -1 binary64)
Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
(*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i 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)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 (*.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 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
(fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)
(*.f64 (neg.f64 i) i)
(neg.f64 i)
i
(*.f64 i i)
(*.f64 (*.f64 i i) #s(literal -1/4 binary64))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
#s(literal -1/4 binary64)
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 #s(literal 1/4 binary64) (*.f64 i i))) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 #s(literal 1/4 binary64) (*.f64 i i)))
(*.f64 (*.f64 #s(literal 1/4 binary64) i) i)
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(*.f64 #s(literal 1/4 binary64) i)
#s(literal 1/4 binary64)
i
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))
(*.f64 i i)
#s(literal 4 binary64)
#s(literal -1 binary64)

localize78.0ms (2%)

Memory
-43.3MiB live, 148.7MiB allocated; 23ms collecting garbage
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 i i)
accuracy0.0
(*.f64 #s(literal 1/4 binary64) i)
accuracy0.0
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))
accuracy15.021063347142775
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
accuracy0.0
(neg.f64 i)
accuracy0.0078125
(*.f64 (*.f64 i i) #s(literal -1/4 binary64))
accuracy0.0546875
(fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
accuracy29.950748883028094
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 (*.f64 i i) #s(literal -1/4 binary64))))
accuracy0.00390625
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
accuracy0.03125
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i)
accuracy0.03515625
(*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)
accuracy29.950748883028094
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
Samples
54.0ms256×0valid
Compiler

Compiled 168 to 29 computations (82.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-mult: 18.0ms (43.1% of total)
ival-div: 17.0ms (40.7% of total)
ival-add: 2.0ms (4.8% of total)
ival-sub: 2.0ms (4.8% of total)
exact: 1.0ms (2.4% of total)
ival-neg: 1.0ms (2.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series7.0ms (0.2%)

Memory
15.8MiB live, 15.8MiB allocated; 0ms collecting garbage
Counts
14 → 22
Calls
Call 1
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
(*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i)
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 (*.f64 i i) #s(literal -1/4 binary64))))
(*.f64 (neg.f64 i) i)
(neg.f64 i)
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))
(*.f64 (*.f64 #s(literal 1/4 binary64) i) i)
(*.f64 #s(literal 1/4 binary64) i)
(*.f64 (*.f64 i i) #s(literal -1/4 binary64))
(*.f64 i i)
Outputs
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(* -1/4 i)
(* i (- (* -1 (pow i 2)) 1/4))
-1/4
(- (* -1 (pow i 2)) 1/4)
(* -1 (pow i 2))
(* -1 i)
(* 1/4 (pow i 2))
(* 1/4 i)
(pow i 2)
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (pow i 3))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
Calls

3 calls:

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

simplify181.0ms (4.6%)

Memory
28.8MiB live, 207.8MiB allocated; 62ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061164
1150164
2491158
31874158
08502154
Stop Event
iter limit
node limit
Counts
22 → 22
Calls
Call 1
Inputs
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(* -1/4 i)
(* i (- (* -1 (pow i 2)) 1/4))
-1/4
(- (* -1 (pow i 2)) 1/4)
(* -1 (pow i 2))
(* -1 i)
(* 1/4 (pow i 2))
(* 1/4 i)
(pow i 2)
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (pow i 3))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (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 (*.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 (*.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal -1 binary64)) (*.f64 i i) #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 (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -16 binary64) (*.f64 i i)) #s(literal 4 binary64)) (*.f64 i i) #s(literal -1 binary64)) (*.f64 i i) #s(literal -1/4 binary64)) i) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* i (- (* -1 (pow i 2)) 1/4))
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i)
-1/4
#s(literal -1/4 binary64)
(- (* -1 (pow i 2)) 1/4)
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1 (pow i 2))
(*.f64 (neg.f64 i) i)
(* -1 i)
(neg.f64 i)
(* 1/4 (pow i 2))
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(* 1/4 i)
(*.f64 #s(literal 1/4 binary64) i)
(pow i 2)
(*.f64 i i)
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(-.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/64 binary64) (*.f64 i i))) (/.f64 #s(literal -1/1024 binary64) (pow.f64 i #s(literal 6 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)) #s(literal 1 binary64)) (pow.f64 i #s(literal 4 binary64)))
(* -1 (pow i 3))
(pow.f64 (neg.f64 i) #s(literal 3 binary64))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i)
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))

rewrite79.0ms (2%)

Memory
-4.1MiB live, 102.8MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029179
043151
1173141
01404141
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
14 → 160
Calls
Call 1
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
(*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i)
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 (*.f64 i i) #s(literal -1/4 binary64))))
(*.f64 (neg.f64 i) i)
(neg.f64 i)
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))
(*.f64 (*.f64 #s(literal 1/4 binary64) i) i)
(*.f64 #s(literal 1/4 binary64) i)
(*.f64 (*.f64 i i) #s(literal -1/4 binary64))
(*.f64 i i)
Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
(*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (fabs.f64 i)) (fabs.f64 i))
(*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (neg.f64 i)) (neg.f64 i))
(*.f64 (*.f64 (neg.f64 i) i) (-.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 i i))
(*.f64 (*.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(*.f64 i (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i))
(/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64))) (*.f64 i i)) (fma.f64 i i #s(literal -1/4 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal -1/64 binary64) (pow.f64 i #s(literal 6 binary64))) (*.f64 i i)) (fma.f64 (*.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64))) (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 i i) #s(literal -1/4 binary64)) (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 (*.f64 (neg.f64 i) i) #s(literal -1/4 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 i i) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (*.f64 (*.f64 (neg.f64 i) i) #s(literal -1/4 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64))))) (neg.f64 (*.f64 (*.f64 i i) (-.f64 (*.f64 (neg.f64 i) i) #s(literal -1/4 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/64 binary64) (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 i i) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))))))
(/.f64 (-.f64 (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64)))) (*.f64 (*.f64 i i) (-.f64 (*.f64 (neg.f64 i) i) #s(literal -1/4 binary64))))
(/.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/64 binary64) (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64)) (-.f64 (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (*.f64 (*.f64 i i) #s(literal -1/4 binary64))))))
(/.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/64 binary64) (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 i i) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.f64 i i) #s(literal -1/4 binary64))))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (fabs.f64 i)) (fabs.f64 i) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (neg.f64 i)) (neg.f64 i) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 (*.f64 (*.f64 (neg.f64 i) i) (fabs.f64 i)) (fabs.f64 i) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(fma.f64 (*.f64 (*.f64 i i) (neg.f64 i)) i (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(fma.f64 (pow.f64 i #s(literal 3 binary64)) (neg.f64 i) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(fma.f64 (*.f64 #s(literal -1/4 binary64) i) i (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64))) i (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(fma.f64 (fabs.f64 i) (*.f64 (fabs.f64 i) #s(literal -1/4 binary64)) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 (fabs.f64 i) (*.f64 (fabs.f64 i) (*.f64 (neg.f64 i) i)) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(fma.f64 (neg.f64 i) (*.f64 (neg.f64 i) #s(literal -1/4 binary64)) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 (neg.f64 i) (pow.f64 i #s(literal 3 binary64)) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(fma.f64 (*.f64 i i) (*.f64 (neg.f64 i) i) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(fma.f64 (*.f64 i i) #s(literal -1/4 binary64) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 i i) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 i (*.f64 #s(literal -1/4 binary64) i) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 i (neg.f64 (pow.f64 i #s(literal 3 binary64))) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(-.f64 (/.f64 (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 i i) (-.f64 (*.f64 (neg.f64 i) i) #s(literal -1/4 binary64)))) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64))) (*.f64 (*.f64 i i) (-.f64 (*.f64 (neg.f64 i) i) #s(literal -1/4 binary64)))))
(-.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (*.f64 (*.f64 (neg.f64 i) i) #s(literal -1/4 binary64)))
(-.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))
(-.f64 (*.f64 (*.f64 i i) #s(literal -1/4 binary64)) (*.f64 (neg.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64)))) i))
(-.f64 (*.f64 (*.f64 i i) #s(literal -1/4 binary64)) (*.f64 (neg.f64 (neg.f64 i)) (pow.f64 i #s(literal 3 binary64))))
(-.f64 (*.f64 (*.f64 i i) #s(literal -1/4 binary64)) (pow.f64 i #s(literal 4 binary64)))
(+.f64 (/.f64 (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 i i) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))))) (/.f64 (*.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/64 binary64)) (fma.f64 (*.f64 i i) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))))))
(+.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(+.f64 (*.f64 (*.f64 i i) #s(literal -1/4 binary64)) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i)
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64))) i) (fma.f64 i i #s(literal -1/4 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal -1/64 binary64) (pow.f64 i #s(literal 6 binary64))) i) (fma.f64 (*.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64)))
(/.f64 (*.f64 i (-.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64)))) (fma.f64 i i #s(literal -1/4 binary64)))
(/.f64 (*.f64 i (-.f64 #s(literal -1/64 binary64) (pow.f64 i #s(literal 6 binary64)))) (fma.f64 (*.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64)))
(fma.f64 #s(literal -1/4 binary64) i (neg.f64 (pow.f64 i #s(literal 3 binary64))))
(fma.f64 i #s(literal -1/4 binary64) (neg.f64 (pow.f64 i #s(literal 3 binary64))))
(+.f64 (*.f64 #s(literal -1/4 binary64) i) (neg.f64 (pow.f64 i #s(literal 3 binary64))))
(/.f64 (+.f64 #s(literal -1/64 binary64) (pow.f64 (*.f64 (neg.f64 i) i) #s(literal 3 binary64))) (fma.f64 (*.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64)))) (neg.f64 (fma.f64 i i #s(literal -1/4 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal -1/64 binary64) (pow.f64 i #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64))))
(/.f64 (-.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64))) (fma.f64 i i #s(literal -1/4 binary64)))
(/.f64 (-.f64 #s(literal -1/64 binary64) (pow.f64 i #s(literal 6 binary64))) (fma.f64 (*.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64)))
(fma.f64 (neg.f64 (fabs.f64 i)) (fabs.f64 i) #s(literal -1/4 binary64))
(fma.f64 (neg.f64 (neg.f64 i)) (neg.f64 i) #s(literal -1/4 binary64))
(fma.f64 (fabs.f64 i) (neg.f64 (fabs.f64 i)) #s(literal -1/4 binary64))
(fma.f64 (neg.f64 i) (neg.f64 (neg.f64 i)) #s(literal -1/4 binary64))
(fma.f64 (neg.f64 i) i #s(literal -1/4 binary64))
(fma.f64 i (neg.f64 i) #s(literal -1/4 binary64))
(-.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 i i #s(literal -1/4 binary64))) (/.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 i i #s(literal -1/4 binary64))))
(-.f64 (/.f64 #s(literal -1/64 binary64) (fma.f64 (*.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64))) (/.f64 (pow.f64 i #s(literal 6 binary64)) (fma.f64 (*.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64))))
(-.f64 #s(literal -1/4 binary64) (*.f64 (neg.f64 (neg.f64 i)) i))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(+.f64 (*.f64 (neg.f64 i) i) #s(literal -1/4 binary64))
(+.f64 #s(literal -1/4 binary64) (*.f64 (neg.f64 i) i))
(*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (fabs.f64 i)) (fabs.f64 i))
(*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (neg.f64 i)) (neg.f64 i))
(*.f64 (*.f64 (neg.f64 i) i) (-.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)
(*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 i i))
(*.f64 (*.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(*.f64 i (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i))
(/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64))) (*.f64 i i)) (fma.f64 i i #s(literal -1/4 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal -1/64 binary64) (pow.f64 i #s(literal 6 binary64))) (*.f64 i i)) (fma.f64 (*.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64))) (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 i i) #s(literal -1/4 binary64)) (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 (*.f64 (neg.f64 i) i) #s(literal -1/4 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 i i) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (*.f64 (*.f64 (neg.f64 i) i) #s(literal -1/4 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64))))) (neg.f64 (*.f64 (*.f64 i i) (-.f64 (*.f64 (neg.f64 i) i) #s(literal -1/4 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/64 binary64) (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 i i) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))))))
(/.f64 (-.f64 (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64)))) (*.f64 (*.f64 i i) (-.f64 (*.f64 (neg.f64 i) i) #s(literal -1/4 binary64))))
(/.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/64 binary64) (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64)) (-.f64 (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (*.f64 (*.f64 i i) #s(literal -1/4 binary64))))))
(/.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/64 binary64) (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 i i) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.f64 i i) #s(literal -1/4 binary64))))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (fabs.f64 i)) (fabs.f64 i) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (neg.f64 i)) (neg.f64 i) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 (*.f64 (*.f64 (neg.f64 i) i) (fabs.f64 i)) (fabs.f64 i) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(fma.f64 (*.f64 (*.f64 i i) (neg.f64 i)) i (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(fma.f64 (pow.f64 i #s(literal 3 binary64)) (neg.f64 i) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(fma.f64 (*.f64 #s(literal -1/4 binary64) i) i (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64))) i (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(fma.f64 (fabs.f64 i) (*.f64 (fabs.f64 i) #s(literal -1/4 binary64)) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 (fabs.f64 i) (*.f64 (fabs.f64 i) (*.f64 (neg.f64 i) i)) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(fma.f64 (neg.f64 i) (*.f64 (neg.f64 i) #s(literal -1/4 binary64)) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 (neg.f64 i) (pow.f64 i #s(literal 3 binary64)) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(fma.f64 (*.f64 i i) (*.f64 (neg.f64 i) i) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(fma.f64 (*.f64 i i) #s(literal -1/4 binary64) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 i i) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 i (*.f64 #s(literal -1/4 binary64) i) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 i (neg.f64 (pow.f64 i #s(literal 3 binary64))) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(-.f64 (/.f64 (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 i i) (-.f64 (*.f64 (neg.f64 i) i) #s(literal -1/4 binary64)))) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64))) (*.f64 (*.f64 i i) (-.f64 (*.f64 (neg.f64 i) i) #s(literal -1/4 binary64)))))
(-.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (*.f64 (*.f64 (neg.f64 i) i) #s(literal -1/4 binary64)))
(-.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))
(-.f64 (*.f64 (*.f64 i i) #s(literal -1/4 binary64)) (*.f64 (neg.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64)))) i))
(-.f64 (*.f64 (*.f64 i i) #s(literal -1/4 binary64)) (*.f64 (neg.f64 (neg.f64 i)) (pow.f64 i #s(literal 3 binary64))))
(-.f64 (*.f64 (*.f64 i i) #s(literal -1/4 binary64)) (pow.f64 i #s(literal 4 binary64)))
(+.f64 (/.f64 (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 i i) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))))) (/.f64 (*.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/64 binary64)) (fma.f64 (*.f64 i i) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))))))
(+.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (*.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(+.f64 (*.f64 (*.f64 i i) #s(literal -1/4 binary64)) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
(*.f64 (neg.f64 (fabs.f64 i)) (fabs.f64 i))
(*.f64 (neg.f64 (neg.f64 i)) (neg.f64 i))
(*.f64 (fabs.f64 i) (neg.f64 (fabs.f64 i)))
(*.f64 (neg.f64 i) (neg.f64 (neg.f64 i)))
(*.f64 (neg.f64 i) i)
(*.f64 i (neg.f64 i))
(neg.f64 (*.f64 i i))
(neg.f64 i)
(*.f64 (/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)))) (neg.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))))
(/.f64 (neg.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
(neg.f64 (/.f64 (neg.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(neg.f64 (/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))
(*.f64 (*.f64 #s(literal 1/4 binary64) (fabs.f64 i)) (fabs.f64 i))
(*.f64 (*.f64 #s(literal 1/4 binary64) (neg.f64 i)) (neg.f64 i))
(*.f64 (*.f64 #s(literal 1/4 binary64) i) i)
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(*.f64 (*.f64 i i) #s(literal 1/4 binary64))
(*.f64 i (*.f64 #s(literal 1/4 binary64) i))
(*.f64 #s(literal 1/4 binary64) i)
(*.f64 i #s(literal 1/4 binary64))
(*.f64 (*.f64 #s(literal -1/4 binary64) (fabs.f64 i)) (fabs.f64 i))
(*.f64 (*.f64 #s(literal -1/4 binary64) (neg.f64 i)) (neg.f64 i))
(*.f64 (*.f64 #s(literal -1/4 binary64) i) i)
(*.f64 (fabs.f64 i) (*.f64 (fabs.f64 i) #s(literal -1/4 binary64)))
(*.f64 (neg.f64 i) (*.f64 (neg.f64 i) #s(literal -1/4 binary64)))
(*.f64 (*.f64 i i) #s(literal -1/4 binary64))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(*.f64 i (*.f64 #s(literal -1/4 binary64) i))
(*.f64 (neg.f64 (fabs.f64 i)) (neg.f64 (fabs.f64 i)))
(*.f64 (neg.f64 (neg.f64 i)) (neg.f64 (neg.f64 i)))
(*.f64 (fabs.f64 (fabs.f64 i)) (fabs.f64 (fabs.f64 i)))
(*.f64 (pow.f64 i #s(literal 1 binary64)) (pow.f64 i #s(literal 1 binary64)))
(*.f64 (pow.f64 i #s(literal 1 binary64)) i)
(*.f64 (fabs.f64 i) (fabs.f64 i))
(*.f64 (neg.f64 i) (neg.f64 i))
(*.f64 i i)
(pow.f64 (fabs.f64 i) #s(literal 2 binary64))
(pow.f64 (neg.f64 i) #s(literal 2 binary64))
(pow.f64 i #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 i) i))
(sqrt.f64 (pow.f64 i #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 i) i))
(fabs.f64 (*.f64 i i))
(exp.f64 (*.f64 (log.f64 i) #s(literal 2 binary64)))

eval31.0ms (0.8%)

Memory
3.7MiB live, 47.5MiB allocated; 7ms collecting garbage
Compiler

Compiled 7 184 to 629 computations (91.2% saved)

prune31.0ms (0.8%)

Memory
-25.4MiB live, 21.1MiB allocated; 5ms collecting garbage
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New1870187
Fresh000
Picked033
Done044
Total1877194
Accuracy
100.0%
Counts
194 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.8%
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
53.2%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 (*.f64 i i) #s(literal -1/4 binary64))))
47.5%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64)))
53.2%
#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)))
53.2%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
52.8%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
47.9%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Compiler

Compiled 553 to 164 computations (70.3% saved)

regimes7.0ms (0.2%)

Memory
14.3MiB live, 14.3MiB allocated; 0ms collecting garbage
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 (*.f64 #s(literal -1/4 binary64) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) 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)))
#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)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 (*.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 (fma.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal -1 binary64)) (*.f64 i i) #s(literal -1/4 binary64)) i) i))
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
(/.f64 (/.f64 (*.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 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #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
75.8%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)))
100.0%2i
Compiler

Compiled 26 to 11 computations (57.7% saved)

regimes3.0ms (0.1%)

Memory
6.8MiB live, 6.8MiB allocated; 0ms collecting garbage
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) 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)))
#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)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 (*.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 (fma.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal -1 binary64)) (*.f64 i i) #s(literal -1/4 binary64)) i) i))
Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal -1 binary64)) (*.f64 i i) #s(literal -1/4 binary64)) 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:

3.0ms
i
Results
AccuracySegmentsBranch
99.5%2i
Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0.1%)

Memory
7.6MiB live, 7.6MiB allocated; 0ms collecting garbage
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 (*.f64 #s(literal -1/4 binary64) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) 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)))
#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)) (fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 (*.f64 i i) #s(literal -1/4 binary64))))
Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64)))
Calls

1 calls:

2.0ms
i
Results
AccuracySegmentsBranch
99.5%2i
Compiler

Compiled 1 to 1 computations (0% saved)

regimes12.0ms (0.3%)

Memory
-54.8MiB live, 10.3MiB allocated; 10ms collecting garbage
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 (*.f64 #s(literal -1/4 binary64) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) 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)))
Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) 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:

11.0ms
i
Results
AccuracySegmentsBranch
99.3%2i
Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory
4.0MiB live, 4.0MiB allocated; 0ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Calls

1 calls:

1.0ms
i
Results
AccuracySegmentsBranch
98.8%2i
Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0.1%)

Memory
5.9MiB live, 5.9MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

1.0ms
i
1.0ms
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
47.9%1(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
47.9%1i
Compiler

Compiled 26 to 11 computations (57.7% saved)

bsearch2.0ms (0.1%)

Memory
3.8MiB live, 3.8MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
2.0ms
42352732.720209934
4439867559.950865
Samples
1.0ms16×0valid
Compiler

Compiled 83 to 44 computations (47% saved)

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

bsearch14.0ms (0.4%)

Memory
28.4MiB live, 28.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
0.16230608387369416
3.1969163666078955
Samples
7.0ms112×0valid
Compiler

Compiled 546 to 273 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (61.1% of total)
ival-sub: 1.0ms (20.4% of total)
ival-div: 1.0ms (20.4% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch5.0ms (0.1%)

Memory
-38.6MiB live, 5.0MiB allocated; 7ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
5.0ms
0.16230608387369416
3.1969163666078955
Compiler

Compiled 504 to 252 computations (50% saved)

bsearch1.0ms (0%)

Memory
4.1MiB live, 4.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.16230608387369416
3.1969163666078955
Compiler

Compiled 462 to 224 computations (51.5% saved)

bsearch1.0ms (0%)

Memory
3.9MiB live, 3.9MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.16230608387369416
3.1969163666078955
Compiler

Compiled 434 to 210 computations (51.6% saved)

simplify44.0ms (1.1%)

Memory
27.7MiB live, 73.6MiB allocated; 5ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
049364
194342
2453276
33525276
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 i #s(literal 50000000 binary64)) (/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 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 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal -1 binary64)) (*.f64 i i) #s(literal -1/4 binary64)) 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 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64))))
(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 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) 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 #s(literal -1/4 binary64) i) i)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Outputs
(if (<=.f64 i #s(literal 50000000 binary64)) (/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #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 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal -1 binary64)) (*.f64 i i) #s(literal -1/4 binary64)) 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 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64))))
(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 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) 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 #s(literal -1/4 binary64) i) i)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

derivations443.0ms (11.2%)

Memory
-12.9MiB live, 363.6MiB allocated; 38ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050130
195130
2232130
3665130
42942130
08265123
034239
050201
1158189
01116183
064191
1150191
2454179
31880179
08217173
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 364 to 49 computations (86.5% saved)

preprocess36.0ms (0.9%)

Memory
18.9MiB live, 62.9MiB allocated; 5ms collecting garbage
Remove

(abs i)

Compiler

Compiled 896 to 166 computations (81.5% saved)

end0.0ms (0%)

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

Profiling

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