Octave 3.8, jcobi/4, as called

Time bar (total: 6.5s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze3.0ms (0%)

Memory
8.0MiB live, 8.0MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
0%0%50%50%0%0%0%1
50%25%25%50%0%0%0%2
50%25%25%50%0%0%0%3
75%37.5%12.5%50%0%0%0%4
87.5%43.7%6.2%50%0%0%0%5
93.8%46.9%3.1%50%0%0%0%6
96.9%48.4%1.6%50%0%0%0%7
98.4%49.2%0.8%50%0%0%0%8
99.2%49.6%0.4%50%0%0%0%9
99.6%49.8%0.2%50%0%0%0%10
99.8%49.9%0.1%50%0%0%0%11
99.9%49.9%0%50%0%0%0%12
Compiler

Compiled 29 to 13 computations (55.2% saved)

sample1.1s (17.4%)

Memory
14.2MiB live, 1 437.5MiB allocated
Samples
815.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 597.0ms
ival-mult: 355.0ms (59.5% of total)
ival-div: 98.0ms (16.4% of total)
ival-sub: 96.0ms (16.1% of total)
ival->: 28.0ms (4.7% of total)
exact: 15.0ms (2.5% of total)
ival-assert: 4.0ms (0.7% of total)
Bogosity

explain155.0ms (2.4%)

Memory
1.4MiB live, 235.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1800-0-(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
650-0-(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
00-0-#s(literal 1 binary64)
00-0-(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
00-0-(*.f64 i i)
00-0-(*.f64 (*.f64 i i) (*.f64 i i))
00-0-(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
00-0-i
00-0-#s(literal 2 binary64)
00-0-(*.f64 #s(literal 2 binary64) i)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))o/o650
(*.f64 (*.f64 i i) (*.f64 i i))overflow95
(*.f64 i i)overflow130
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))overflow65
/.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/o650
(*.f64 (*.f64 i i) (*.f64 i i))overflow95
(*.f64 i i)overflow130
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))overflow65
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))overflow65
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))overflow65
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))overflow65
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))u/u530
(*.f64 (*.f64 i i) (*.f64 i i))underflow85
(*.f64 i i)underflow106
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))underflow53
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))u/n320
(*.f64 (*.f64 i i) (*.f64 i i))underflow85
(*.f64 i i)underflow106
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))o/n300
(*.f64 (*.f64 i i) (*.f64 i i))overflow95
(*.f64 i i)overflow130
Confusion
Predicted +Predicted -
+1800
-076
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+18000
-0076
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
076
1115
265
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
35.0ms512×0valid
Compiler

Compiled 245 to 44 computations (82% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 12.0ms (56.6% of total)
ival-div: 6.0ms (28.3% of total)
ival-sub: 2.0ms (9.4% of total)
exact: 1.0ms (4.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess161.0ms (2.5%)

Memory
31.8MiB live, 182.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01243
15543
235026
3286226
4776626
01025
01721
14519
218713
3106013
4364911
5538811
6740111
0802210
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Outputs
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
(*.f64 (/.f64 i (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64))) i)
Symmetry

(abs i)

Compiler

Compiled 25 to 10 computations (60% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.6%
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Compiler

Compiled 25 to 10 computations (60% saved)

simplify155.0ms (2.4%)

Memory
1.6MiB live, 158.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff128
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
cost-diff320
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
cost-diff320
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
cost-diff7168
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01072
01762
14556
218742
3106042
4364940
5538840
6740140
0802238
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
(*.f64 (*.f64 i i) (*.f64 i i))
(*.f64 i i)
i
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(*.f64 #s(literal 2 binary64) i)
#s(literal 2 binary64)
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
(*.f64 (/.f64 i (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64))) i)
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
(*.f64 (*.f64 #s(literal 1/4 binary64) i) i)
(*.f64 (*.f64 i i) (*.f64 i i))
(pow.f64 i #s(literal 4 binary64))
(*.f64 i i)
i
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(*.f64 #s(literal 4 binary64) (*.f64 i i))
(*.f64 #s(literal 2 binary64) i)
#s(literal 2 binary64)
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
#s(literal 1 binary64)

localize46.0ms (0.7%)

Memory
-18.1MiB live, 59.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
accuracy0.12890625
(*.f64 (*.f64 i i) (*.f64 i i))
accuracy15.74769998087549
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
accuracy40.0617871334104
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
Samples
21.0ms256×0valid
Compiler

Compiled 146 to 22 computations (84.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 6.0ms (55.6% of total)
ival-div: 3.0ms (27.8% of total)
ival-sub: 1.0ms (9.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
9.4MiB live, 9.4MiB allocated
Counts
5 → 14
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
(*.f64 (*.f64 i i) (*.f64 i i))
Outputs
(* 1/4 (pow i 2))
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(* 4 (pow i 2))
-1
(- (* 4 (pow i 2)) 1)
(pow i 4)
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
Calls

3 calls:

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

simplify173.0ms (2.7%)

Memory
17.8MiB live, 167.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049123
194123
2218122
3508118
41079118
52115118
64129118
76260118
08072113
Stop Event
iter limit
node limit
Counts
14 → 14
Calls
Call 1
Inputs
(* 1/4 (pow i 2))
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(* 4 (pow i 2))
-1
(- (* 4 (pow i 2)) 1)
(pow i 4)
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
Outputs
(* 1/4 (pow i 2))
(*.f64 (*.f64 #s(literal 1/4 binary64) i) i)
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(*.f64 (fma.f64 (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 4 binary64) i) i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(*.f64 (fma.f64 i i (fma.f64 (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal 4 binary64)) (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64))) (*.f64 (neg.f64 i) i))
(* 4 (pow i 2))
(*.f64 #s(literal 4 binary64) (*.f64 i i))
-1
#s(literal -1 binary64)
(- (* 4 (pow i 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(pow i 4)
(pow.f64 i #s(literal 4 binary64))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))

rewrite133.0ms (2%)

Memory
8.2MiB live, 239.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01063
01747
17541
265329
0877227
Stop Event
iter limit
node limit
iter limit
Counts
5 → 653
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
(*.f64 (*.f64 i i) (*.f64 i i))
Outputs
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) i)) i)
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) i) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) i) #s(literal -2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) i) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) i) #s(literal 1 binary64)))
(*.f64 (neg.f64 (*.f64 (neg.f64 i) i)) #s(literal 1/4 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) i))
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (pow.f64 i #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 i #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) i) #s(literal -1 binary64)) (pow.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 i i)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) i) i) #s(literal 1/2 binary64))
(*.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/4 binary64)) (pow.f64 i #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 i #s(literal -2 binary64)))
(*.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) i) i)))
(*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 i i)) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(*.f64 (*.f64 i #s(literal -1/2 binary64)) (*.f64 i #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64))) (/.f64 i (*.f64 #s(literal -4 binary64) (*.f64 i i))))
(*.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64))) (*.f64 i (/.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(*.f64 (neg.f64 i) (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 i i))))
(*.f64 (neg.f64 i) (*.f64 (pow.f64 i #s(literal 3 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(*.f64 (/.f64 #s(literal 1/2 binary64) i) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal 1/4 binary64) i) (pow.f64 (*.f64 i (pow.f64 i #s(literal -4 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/4 binary64) i) (pow.f64 i #s(literal 3 binary64)))
(*.f64 (pow.f64 i #s(literal -1 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal 1/4 binary64) i) (*.f64 (pow.f64 i #s(literal -1 binary64)) (*.f64 i i)))
(*.f64 (*.f64 #s(literal 1/4 binary64) i) i)
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 i i)))
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(fma.f64 (*.f64 #s(literal 2 binary64) i) (neg.f64 (*.f64 #s(literal -2 binary64) i)) #s(literal -1 binary64))
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(-.f64 (*.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 1 binary64))
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(*.f64 (neg.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64)))) i)
(*.f64 (neg.f64 (neg.f64 i)) (pow.f64 i #s(literal 3 binary64)))
(*.f64 (neg.f64 (*.f64 (neg.f64 i) i)) (*.f64 i i))
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(*.f64 (neg.f64 i) (neg.f64 (pow.f64 i #s(literal 3 binary64))))
(*.f64 (*.f64 (neg.f64 i) i) (*.f64 (neg.f64 i) i))
(*.f64 (pow.f64 i #s(literal 3 binary64)) (neg.f64 (neg.f64 i)))
(*.f64 (pow.f64 i #s(literal 3 binary64)) i)
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 4 binary64)))
(*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 i i) (neg.f64 (*.f64 (neg.f64 i) i)))
(*.f64 (*.f64 i i) (*.f64 i i))
(*.f64 i (neg.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64)))))
(*.f64 i (pow.f64 i #s(literal 3 binary64)))
(pow.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 i i) #s(literal 2 binary64))
(pow.f64 i #s(literal 4 binary64))
(neg.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(exp.f64 (fma.f64 (log.f64 i) #s(literal 2 binary64) (*.f64 (log.f64 i) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 i) #s(literal 4 binary64)))
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eval122.0ms (1.9%)

Memory
-36.7MiB live, 210.9MiB allocated
Compiler

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

prune15.0ms (0.2%)

Memory
34.3MiB live, 73.9MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New6966702
Fresh000
Picked101
Done000
Total6976703
Accuracy
100.0%
Counts
703 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f64 (*.f64 i (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) i) #s(literal 2 binary64)))
74.6%
(/.f64 (*.f64 i i) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
54.7%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
46.1%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
45.9%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
54.7%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Compiler

Compiled 310 to 154 computations (50.3% saved)

simplify366.0ms (5.6%)

Memory
-0.3MiB live, 119.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 i i)
cost-diff0
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
cost-diff0
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
cost-diff0
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
cost-diff0
(fma.f64 i i #s(literal 1/4 binary64))
cost-diff0
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)
cost-diff0
(*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
cost-diff0
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
cost-diff0
(*.f64 i i)
cost-diff0
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
cost-diff0
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
cost-diff0
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
cost-diff0
(/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
cost-diff320
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) i) #s(literal 2 binary64))
cost-diff320
(*.f64 i (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
cost-diff1152
(/.f64 (*.f64 i (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) i) #s(literal 2 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035236
050220
1106212
2322183
31465182
44376172
57599172
08117165
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 i (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) i) #s(literal 2 binary64)))
(*.f64 i (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
i
(/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
#s(literal 1/2 binary64)
(fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))
#s(literal 2 binary64)
#s(literal 1 binary64)
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) i) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) i)
(fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(literal 1/16 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
#s(literal -1/4 binary64)
(*.f64 i i)
i
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
(*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)
(fma.f64 i i #s(literal 1/4 binary64))
i
#s(literal 1/4 binary64)
(neg.f64 i)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
#s(literal 1/64 binary64)
(*.f64 i i)
i
#s(literal 1/16 binary64)
Outputs
(/.f64 (*.f64 i (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) i) #s(literal 2 binary64)))
(*.f64 (/.f64 i (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64))) i)
(*.f64 i (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(/.f64 i (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)))
i
(/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
#s(literal 1/2 binary64)
(fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))
#s(literal 2 binary64)
#s(literal 1 binary64)
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) i) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal -2 binary64)) i)
(/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) i)
(fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(literal 1/16 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #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 i i) #s(literal -1/4 binary64)))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(*.f64 (*.f64 i i) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(*.f64 i i)
i
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (*.f64 i i)))
(*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
(*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (*.f64 i i))
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)
(fma.f64 i i #s(literal 1/4 binary64))
i
#s(literal 1/4 binary64)
(neg.f64 i)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
#s(literal 1/64 binary64)
(*.f64 i i)
i
#s(literal 1/16 binary64)

localize265.0ms (4.1%)

Memory
1.8MiB live, 115.1MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
accuracy0.0
(*.f64 i i)
accuracy0.253945111932343
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
accuracy28.996553153881443
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
accuracy0.0
(neg.f64 i)
accuracy0.046875
(*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
accuracy0.05078125
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)
accuracy34.49043830853276
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
accuracy0.0
(*.f64 i i)
accuracy0.00390625
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
accuracy34.590005314835146
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
accuracy28.99709451023317
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
accuracy0.00390625
(/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) i)
accuracy0.0078125
(/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
accuracy0.0625
(/.f64 (*.f64 i (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) i) #s(literal 2 binary64)))
accuracy0.07421875
(*.f64 i (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
Samples
245.0ms256×0valid
Compiler

Compiled 459 to 69 computations (85% saved)

Precisions
Click to see histograms. Total time spent on operations: 174.0ms
ival-div: 152.0ms (87.4% of total)
ival-mult: 13.0ms (7.5% of total)
ival-add: 5.0ms (2.9% of total)
ival-sub: 1.0ms (0.6% of total)
exact: 1.0ms (0.6% of total)
ival-neg: 1.0ms (0.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series17.0ms (0.3%)

Memory
-30.1MiB live, 14.8MiB allocated
Counts
17 → 49
Calls
Call 1
Inputs
(/.f64 (*.f64 i (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) i) #s(literal 2 binary64)))
(*.f64 i (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) i) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #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(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(*.f64 i i)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
(*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)
(fma.f64 i i #s(literal 1/4 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) i)
(neg.f64 i)
Outputs
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(* 1/2 i)
(* i (+ 1/2 (* -1 i)))
(* i (+ 1/2 (* i (- (* 2 i) 1))))
(* i (+ 1/2 (* i (- (* i (+ 2 (* -4 i))) 1))))
(/ -2 i)
(/ (- (* 4 i) 2) i)
1/2
(+ 1/2 (* -1 i))
(+ 1/2 (* i (- (* 2 i) 1)))
(+ 1/2 (* i (- (* i (+ 2 (* -4 i))) 1)))
(pow i 2)
(* 1/4 i)
(* i (+ 1/4 (pow i 2)))
1/4
(+ 1/4 (pow i 2))
(/ 1/64 (pow i 2))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(/ -1 i)
(/ (- (* 2 i) 1) i)
(* -1 i)
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(- 1/4 (* 1/8 (/ 1 i)))
(- (+ 1/4 (/ 1/16 (pow i 2))) (* 1/8 (/ 1 i)))
(- (+ 1/4 (/ 1/16 (pow i 2))) (+ (* 1/8 (/ 1 i)) (* 1/32 (/ 1 (pow i 3)))))
4
(- 4 (* 2 (/ 1 i)))
(/ 1/4 i)
(/ (- 1/4 (* 1/8 (/ 1 i))) i)
(/ (- (+ 1/4 (/ 1/16 (pow i 2))) (* 1/8 (/ 1 i))) i)
(/ (- (+ 1/4 (/ 1/16 (pow i 2))) (+ (* 1/8 (/ 1 i)) (* 1/32 (/ 1 (pow i 3))))) i)
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(pow i 3)
(* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
2
(- 2 (/ 1 i))
(+ 1/4 (* -1 (/ (- 1/8 (* 1/16 (/ 1 i))) i)))
(+ 1/4 (* -1 (/ (+ 1/8 (* -1 (/ (- 1/16 (* 1/32 (/ 1 i))) i))) i)))
(* -1 (/ (- (* 1/8 (/ 1 i)) 1/4) i))
(* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 i)) 1/8) i)) 1/4) i))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/32 (/ 1 i)) 1/16) i)) 1/8) i)) 1/4) i))
Calls

3 calls:

TimeVariablePointExpression
10.0ms
i
@inf
((/ (* i (/ 1/2 (+ (* 2 i) 1))) (* (/ (+ (* 2 i) -1) i) 2)) (* i (/ 1/2 (+ (* 2 i) 1))) (* (/ (+ (* 2 i) -1) i) 2) (/ 1/2 (+ (* 2 i) 1)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* -1/4 (* i i)) (* i i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* (+ (* i i) 1/4) i) (neg i)) (* (+ (* i i) 1/4) i) (+ (* i i) 1/4) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+ (/ 1/64 (* i i)) 1/16) (/ 1/64 (* i i)) (/ (+ (* 2 i) -1) i) (neg i))
3.0ms
i
@-inf
((/ (* i (/ 1/2 (+ (* 2 i) 1))) (* (/ (+ (* 2 i) -1) i) 2)) (* i (/ 1/2 (+ (* 2 i) 1))) (* (/ (+ (* 2 i) -1) i) 2) (/ 1/2 (+ (* 2 i) 1)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* -1/4 (* i i)) (* i i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* (+ (* i i) 1/4) i) (neg i)) (* (+ (* i i) 1/4) i) (+ (* i i) 1/4) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+ (/ 1/64 (* i i)) 1/16) (/ 1/64 (* i i)) (/ (+ (* 2 i) -1) i) (neg i))
3.0ms
i
@0
((/ (* i (/ 1/2 (+ (* 2 i) 1))) (* (/ (+ (* 2 i) -1) i) 2)) (* i (/ 1/2 (+ (* 2 i) 1))) (* (/ (+ (* 2 i) -1) i) 2) (/ 1/2 (+ (* 2 i) 1)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* -1/4 (* i i)) (* i i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* (+ (* i i) 1/4) i) (neg i)) (* (+ (* i i) 1/4) i) (+ (* i i) 1/4) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+ (/ 1/64 (* i i)) 1/16) (/ 1/64 (* i i)) (/ (+ (* 2 i) -1) i) (neg i))

simplify141.0ms (2.2%)

Memory
43.0MiB live, 152.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0134401
1374383
2872365
32223361
46582361
08197343
Stop Event
iter limit
node limit
Counts
49 → 49
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))
(* 1/2 i)
(* i (+ 1/2 (* -1 i)))
(* i (+ 1/2 (* i (- (* 2 i) 1))))
(* i (+ 1/2 (* i (- (* i (+ 2 (* -4 i))) 1))))
(/ -2 i)
(/ (- (* 4 i) 2) i)
1/2
(+ 1/2 (* -1 i))
(+ 1/2 (* i (- (* 2 i) 1)))
(+ 1/2 (* i (- (* i (+ 2 (* -4 i))) 1)))
(pow i 2)
(* 1/4 i)
(* i (+ 1/4 (pow i 2)))
1/4
(+ 1/4 (pow i 2))
(/ 1/64 (pow i 2))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(/ -1 i)
(/ (- (* 2 i) 1) i)
(* -1 i)
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(- 1/4 (* 1/8 (/ 1 i)))
(- (+ 1/4 (/ 1/16 (pow i 2))) (* 1/8 (/ 1 i)))
(- (+ 1/4 (/ 1/16 (pow i 2))) (+ (* 1/8 (/ 1 i)) (* 1/32 (/ 1 (pow i 3)))))
4
(- 4 (* 2 (/ 1 i)))
(/ 1/4 i)
(/ (- 1/4 (* 1/8 (/ 1 i))) i)
(/ (- (+ 1/4 (/ 1/16 (pow i 2))) (* 1/8 (/ 1 i))) i)
(/ (- (+ 1/4 (/ 1/16 (pow i 2))) (+ (* 1/8 (/ 1 i)) (* 1/32 (/ 1 (pow i 3))))) i)
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(pow i 3)
(* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
2
(- 2 (/ 1 i))
(+ 1/4 (* -1 (/ (- 1/8 (* 1/16 (/ 1 i))) i)))
(+ 1/4 (* -1 (/ (+ 1/8 (* -1 (/ (- 1/16 (* 1/32 (/ 1 i))) i))) i)))
(* -1 (/ (- (* 1/8 (/ 1 i)) 1/4) i))
(* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 i)) 1/8) i)) 1/4) i))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/32 (/ 1 i)) 1/16) i)) 1/8) i)) 1/4) i))
Outputs
(* -1/4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal -1/4 binary64))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(*.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -4 binary64) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 i i))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(*.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal -4 binary64)) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 i i))
(* 1/2 i)
(*.f64 #s(literal 1/2 binary64) i)
(* i (+ 1/2 (* -1 i)))
(*.f64 (-.f64 #s(literal 1/2 binary64) i) i)
(* i (+ 1/2 (* i (- (* 2 i) 1))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) i #s(literal 1/2 binary64)) i)
(* i (+ 1/2 (* i (- (* i (+ 2 (* -4 i))) 1))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) i #s(literal 2 binary64)) i #s(literal -1 binary64)) i #s(literal 1/2 binary64)) i)
(/ -2 i)
(/.f64 #s(literal -2 binary64) i)
(/ (- (* 4 i) 2) i)
(-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1 i))
(-.f64 #s(literal 1/2 binary64) i)
(+ 1/2 (* i (- (* 2 i) 1)))
(fma.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) i #s(literal 1/2 binary64))
(+ 1/2 (* i (- (* i (+ 2 (* -4 i))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) i #s(literal 2 binary64)) i #s(literal -1 binary64)) i #s(literal 1/2 binary64))
(pow i 2)
(*.f64 i i)
(* 1/4 i)
(*.f64 #s(literal 1/4 binary64) i)
(* i (+ 1/4 (pow i 2)))
(fma.f64 #s(literal 1/4 binary64) i (pow.f64 i #s(literal 3 binary64)))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (pow i 2))
(fma.f64 i i #s(literal 1/4 binary64))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(/.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 i i) #s(literal 1/64 binary64)) i) i)
(/ -1 i)
(/.f64 #s(literal -1 binary64) i)
(/ (- (* 2 i) 1) i)
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) i))
(* -1 i)
(neg.f64 i)
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(- 1/4 (* 1/8 (/ 1 i)))
(-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) i))
(- (+ 1/4 (/ 1/16 (pow i 2))) (* 1/8 (/ 1 i)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) i) #s(literal 1/8 binary64)) i) #s(literal -1/4 binary64))
(- (+ 1/4 (/ 1/16 (pow i 2))) (+ (* 1/8 (/ 1 i)) (* 1/32 (/ 1 (pow i 3)))))
(-.f64 (/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 1/16 binary64)) i)) i) #s(literal -1/4 binary64))
4
#s(literal 4 binary64)
(- 4 (* 2 (/ 1 i)))
(-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i))
(/ 1/4 i)
(/.f64 #s(literal 1/4 binary64) i)
(/ (- 1/4 (* 1/8 (/ 1 i))) i)
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) i)) i)
(/ (- (+ 1/4 (/ 1/16 (pow i 2))) (* 1/8 (/ 1 i))) i)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) i) #s(literal 1/8 binary64)) i) #s(literal -1/4 binary64)) i)
(/ (- (+ 1/4 (/ 1/16 (pow i 2))) (+ (* 1/8 (/ 1 i)) (* 1/32 (/ 1 (pow i 3))))) i)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 1/16 binary64)) i)) i) #s(literal -1/4 binary64)) i)
(* -1 (pow i 4))
(neg.f64 (pow.f64 i #s(literal 4 binary64)))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)
(pow i 3)
(pow.f64 i #s(literal 3 binary64))
(* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(fma.f64 #s(literal 1/4 binary64) i (pow.f64 i #s(literal 3 binary64)))
(* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(fma.f64 i i #s(literal 1/4 binary64))
2
#s(literal 2 binary64)
(- 2 (/ 1 i))
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) i))
(+ 1/4 (* -1 (/ (- 1/8 (* 1/16 (/ 1 i))) i)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) i) #s(literal 1/8 binary64)) i) #s(literal -1/4 binary64))
(+ 1/4 (* -1 (/ (+ 1/8 (* -1 (/ (- 1/16 (* 1/32 (/ 1 i))) i))) i)))
(-.f64 (/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 1/16 binary64)) i)) i) #s(literal -1/4 binary64))
(* -1 (/ (- (* 1/8 (/ 1 i)) 1/4) i))
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) i)) i)
(* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 i)) 1/8) i)) 1/4) i))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) i) #s(literal 1/8 binary64)) i) #s(literal -1/4 binary64)) i)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/32 (/ 1 i)) 1/16) i)) 1/8) i)) 1/4) i))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 1/16 binary64)) i)) i) #s(literal -1/4 binary64)) i)

rewrite385.0ms (5.9%)

Memory
-23.3MiB live, 190.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035212
050188
1206180
21609159
08628151
Stop Event
iter limit
node limit
iter limit
Counts
17 → 550
Calls
Call 1
Inputs
(/.f64 (*.f64 i (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) i) #s(literal 2 binary64)))
(*.f64 i (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) i) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #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(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(*.f64 i i)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
(*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)
(fma.f64 i i #s(literal 1/4 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) i)
(neg.f64 i)
Outputs
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) i) (pow.f64 i #s(literal -4 binary64)))) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)) (pow.f64 i #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) (pow.f64 i #s(literal -4 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -2 binary64)))
(*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (pow.f64 i #s(literal -2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (*.f64 (*.f64 i #s(literal 1/4 binary64)) (pow.f64 i #s(literal -1 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (pow.f64 i #s(literal -4 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 i #s(literal 4 binary64) #s(literal -2 binary64)) i) (/.f64 #s(literal 2 binary64) i)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) i) (*.f64 (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64)) #s(literal -2 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) i))
(*.f64 (/.f64 (*.f64 (*.f64 i #s(literal 1/4 binary64)) 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 (*.f64 (*.f64 i #s(literal 1/4 binary64)) i) (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) i) (fma.f64 i #s(literal 4 binary64) #s(literal -2 binary64))) i)
(*.f64 (/.f64 (*.f64 (*.f64 i #s(literal 1/4 binary64)) i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -2 binary64)))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) i) #s(literal 1/2 binary64)) (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) i) #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal -1 binary64)))
(*.f64 (*.f64 i (/.f64 #s(literal 1/2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)))) (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) i) (/.f64 i (fma.f64 i #s(literal 4 binary64) #s(literal -2 binary64)))) (pow.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) i) (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(*.f64 (/.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 i #s(literal 1/4 binary64)) (pow.f64 i #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -2 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) (*.f64 i (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -2 binary64))))
(*.f64 (/.f64 (*.f64 i i) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) (*.f64 (*.f64 i #s(literal 1/4 binary64)) (pow.f64 i #s(literal -1 binary64))))
(*.f64 (/.f64 i (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) (*.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -2 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) i))
(*.f64 (neg.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) i))) #s(literal -1/2 binary64))
(*.f64 (pow.f64 i #s(literal 3 binary64)) (/.f64 i (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)) #s(literal -1 binary64) (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))))))
(*.f64 (*.f64 (/.f64 i (fma.f64 i #s(literal 4 binary64) #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) i)
(*.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) i)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) i) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal -2 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 3 binary64)))))
(*.f64 (*.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) i) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) i))))
(*.f64 (*.f64 #s(literal 1/2 binary64) i) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (/.f64 (fma.f64 i #s(literal 4 binary64) #s(literal -2 binary64)) i))))
(*.f64 (*.f64 #s(literal 1/2 binary64) i) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 i (fma.f64 i #s(literal 4 binary64) #s(literal -2 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) i) (pow.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) i) (*.f64 (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64)) #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) i) (/.f64 (*.f64 #s(literal 1/2 binary64) i) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) i) (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))))
(*.f64 (/.f64 i (fma.f64 i #s(literal 4 binary64) #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) i))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))) (*.f64 (*.f64 i #s(literal 1/4 binary64)) i))
(*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 i i))) #s(literal -1 binary64)))
(*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) i)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64))) (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) i))
(*.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) i) (/.f64 #s(literal 1/2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) i) (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 i #s(literal 4 binary64) #s(literal -2 binary64)) i)))
(*.f64 (neg.f64 (*.f64 (*.f64 i #s(literal 1/4 binary64)) i)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))))
(*.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 i i)))))
(*.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)) #s(literal -1 binary64) (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)))))))
(*.f64 (*.f64 i i) (/.f64 (*.f64 (*.f64 i #s(literal 1/4 binary64)) (pow.f64 i #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(*.f64 (*.f64 i i) (*.f64 (*.f64 i i) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -2 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))))
(*.f64 (*.f64 (*.f64 i #s(literal 1/4 binary64)) i) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))))
(*.f64 (pow.f64 i #s(literal 4 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -2 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 i #s(literal 1/4 binary64)) i) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) i) (/.f64 i (fma.f64 i #s(literal 4 binary64) #s(literal -2 binary64)))))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) i) (/.f64 i (fma.f64 i #s(literal 4 binary64) #s(literal -2 binary64))))
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(*.f64 #s(literal -1/64 binary64) (/.f64 #s(literal -1 binary64) (*.f64 i i)))
(*.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1 binary64))
(*.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal -2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 i i) #s(literal 64 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/64 binary64) (pow.f64 i #s(literal -2 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(pow.f64 (*.f64 (*.f64 i i) #s(literal 64 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/64 binary64) i))) 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))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 i i) #s(literal 64 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 i i) #s(literal 64 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 i i) #s(literal 64 binary64)))
(neg.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 i #s(literal -2 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/64 binary64) (pow.f64 i #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 i i) #s(literal 64 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 i (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 i (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -1 binary64)) i) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (pow.f64 i #s(literal -1 binary64)))
(*.f64 (pow.f64 i #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
(*.f64 (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) i))
(*.f64 (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) i)))
(*.f64 (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))))
(*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) i)))
(*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))))
(*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)) i))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) i))
(pow.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -1 binary64)) i)) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))))
(/.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) i)) (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64)))
(/.f64 (/.f64 (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -1 binary64)) i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) i)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -1 binary64))) (neg.f64 (*.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))))
(/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) i)
(/.f64 (pow.f64 i #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 i))
(/.f64 (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -1 binary64)) (*.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))))
(/.f64 (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) i))
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)) (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) i)))
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)) (neg.f64 (*.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))))
(/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) (*.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) i))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -1 binary64)) i)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) i)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) i) (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) i) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(neg.f64 (/.f64 (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)) i))
(fma.f64 (pow.f64 i #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) i) (*.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal -1 binary64) (*.f64 (pow.f64 i #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) i)))
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64))) i) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) #s(literal -1 binary64)) i))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 i)) (/.f64 (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)) i))
(-.f64 (/.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 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 64 binary64) (pow.f64 i #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 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) (/.f64 (pow.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))) #s(literal -1 binary64)) (*.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)) (*.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal -1 binary64) i) (/.f64 (*.f64 #s(literal 2 binary64) i) (neg.f64 i)))
(-.f64 (/.f64 (*.f64 #s(literal 2 binary64) i) i) (pow.f64 i #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)) i))
(exp.f64 (*.f64 (log.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))) #s(literal -1 binary64)))
(+.f64 (*.f64 (pow.f64 i #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) i)) (*.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 i #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) i)))
(*.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 i i #s(literal 0 binary64))))
(*.f64 (*.f64 (neg.f64 i) i) (pow.f64 i #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) i)
(*.f64 i #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 i) (neg.f64 i))) i)
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 i) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (neg.f64 i) (neg.f64 i)) (*.f64 #s(literal 0 binary64) (neg.f64 i)))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64)))) (neg.f64 (fma.f64 i i #s(literal 0 binary64))))
(/.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64))) (fma.f64 i i #s(literal 0 binary64)))
(/.f64 (*.f64 (neg.f64 i) i) i)
(/.f64 (*.f64 i i) (neg.f64 i))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 i i #s(literal 0 binary64)) (neg.f64 (pow.f64 i #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (neg.f64 i) i)))
(neg.f64 i)
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 i i #s(literal 0 binary64))) (/.f64 (pow.f64 i #s(literal 3 binary64)) (fma.f64 i i #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) i) i)
(-.f64 #s(literal 0 binary64) i)
(+.f64 #s(literal 0 binary64) (neg.f64 i))

eval104.0ms (1.6%)

Memory
2.3MiB live, 156.8MiB allocated
Compiler

Compiled 18 388 to 1 934 computations (89.5% saved)

prune13.0ms (0.2%)

Memory
7.7MiB live, 43.8MiB allocated
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New6044608
Fresh101
Picked325
Done000
Total6086614
Accuracy
100.0%
Counts
614 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.6%
(/.f64 (*.f64 (*.f64 i #s(literal 1/4 binary64)) i) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
75.3%
(*.f64 (*.f64 #s(literal 1/2 binary64) i) (/.f64 (*.f64 #s(literal 1/2 binary64) i) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
54.7%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
46.1%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i)))
46.0%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
54.7%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Compiler

Compiled 152 to 76 computations (50% saved)

simplify152.0ms (2.3%)

Memory
-15.1MiB live, 139.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))
cost-diff0
(*.f64 i #s(literal 1/4 binary64))
cost-diff0
(*.f64 (*.f64 i #s(literal 1/4 binary64)) i)
cost-diff320
(/.f64 (*.f64 (*.f64 i #s(literal 1/4 binary64)) i) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
cost-diff0
(fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))
cost-diff0
(/.f64 (*.f64 #s(literal 1/2 binary64) i) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
cost-diff0
(*.f64 #s(literal 1/2 binary64) i)
cost-diff640
(*.f64 (*.f64 #s(literal 1/2 binary64) i) (/.f64 (*.f64 #s(literal 1/2 binary64) i) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
cost-diff0
(neg.f64 i)
cost-diff0
(*.f64 (neg.f64 i) i)
cost-diff0
(fma.f64 i i #s(literal 1/4 binary64))
cost-diff0
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i)))
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))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031170
046162
1100154
2332142
31574142
43920138
56436138
08172134
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 #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 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i)))
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i))
(fma.f64 i i #s(literal 1/4 binary64))
i
#s(literal 1/4 binary64)
(*.f64 (neg.f64 i) i)
(neg.f64 i)
(*.f64 (*.f64 #s(literal 1/2 binary64) i) (/.f64 (*.f64 #s(literal 1/2 binary64) i) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(*.f64 #s(literal 1/2 binary64) i)
#s(literal 1/2 binary64)
i
(/.f64 (*.f64 #s(literal 1/2 binary64) i) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))
(*.f64 #s(literal 4 binary64) i)
#s(literal 4 binary64)
#s(literal -1 binary64)
(/.f64 (*.f64 (*.f64 i #s(literal 1/4 binary64)) i) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
(*.f64 (*.f64 i #s(literal 1/4 binary64)) i)
(*.f64 i #s(literal 1/4 binary64))
i
#s(literal 1/4 binary64)
(fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))
(*.f64 #s(literal 4 binary64) i)
#s(literal 4 binary64)
#s(literal -1 binary64)
Outputs
#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 #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
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) i) i) (pow.f64 i #s(literal 3 binary64))))
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i))
(*.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) i) i) (pow.f64 i #s(literal 3 binary64)))
(fma.f64 i i #s(literal 1/4 binary64))
i
#s(literal 1/4 binary64)
(*.f64 (neg.f64 i) i)
(neg.f64 i)
(*.f64 (*.f64 #s(literal 1/2 binary64) i) (/.f64 (*.f64 #s(literal 1/2 binary64) i) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(*.f64 (/.f64 i (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64))) i)
(*.f64 #s(literal 1/2 binary64) i)
#s(literal 1/2 binary64)
i
(/.f64 (*.f64 #s(literal 1/2 binary64) i) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) i)
(fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))
(*.f64 #s(literal 4 binary64) i)
#s(literal 4 binary64)
#s(literal -1 binary64)
(/.f64 (*.f64 (*.f64 i #s(literal 1/4 binary64)) i) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
(*.f64 (/.f64 i (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64))) i)
(*.f64 (*.f64 i #s(literal 1/4 binary64)) i)
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(*.f64 i #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) i)
i
#s(literal 1/4 binary64)
(fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))
(*.f64 #s(literal 4 binary64) i)
#s(literal 4 binary64)
#s(literal -1 binary64)

localize416.0ms (6.4%)

Memory
-52.5MiB live, 123.7MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 (*.f64 i #s(literal 1/4 binary64)) i)
accuracy0.0
(*.f64 i #s(literal 1/4 binary64))
accuracy0.0
(*.f64 #s(literal 4 binary64) i)
accuracy15.74769998087549
(/.f64 (*.f64 (*.f64 i #s(literal 1/4 binary64)) i) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
accuracy0.0
(*.f64 #s(literal 4 binary64) i)
accuracy0.0
(*.f64 #s(literal 1/2 binary64) i)
accuracy0.07421875
(*.f64 (*.f64 #s(literal 1/2 binary64) i) (/.f64 (*.f64 #s(literal 1/2 binary64) i) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
accuracy15.119191882756551
(/.f64 (*.f64 #s(literal 1/2 binary64) i) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
accuracy0.0
(*.f64 (neg.f64 i) i)
accuracy0.0
(neg.f64 i)
accuracy0.078125
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i))
accuracy34.49043830853276
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i)))
accuracy0.0
(*.f64 (*.f64 #s(literal -1/4 binary64) i) i)
accuracy0.0
(*.f64 #s(literal -1/4 binary64) i)
accuracy34.590005314835146
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
Samples
397.0ms256×0valid
Compiler

Compiled 333 to 63 computations (81.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 365.0ms
ival-mult: 352.0ms (96.4% of total)
ival-div: 6.0ms (1.6% of total)
ival-add: 4.0ms (1.1% of total)
ival-sub: 1.0ms (0.3% of total)
exact: 1.0ms (0.3% of total)
ival-neg: 1.0ms (0.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
6.6MiB live, 6.6MiB allocated
Counts
16 → 35
Calls
Call 1
Inputs
#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 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i)))
(fma.f64 i i #s(literal 1/4 binary64))
(*.f64 (neg.f64 i) i)
(neg.f64 i)
(*.f64 (*.f64 #s(literal 1/2 binary64) i) (/.f64 (*.f64 #s(literal 1/2 binary64) i) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(*.f64 #s(literal 1/2 binary64) i)
(/.f64 (*.f64 #s(literal 1/2 binary64) i) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 i #s(literal 1/4 binary64)) i) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
(*.f64 (*.f64 i #s(literal 1/4 binary64)) i)
(*.f64 i #s(literal 1/4 binary64))
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i))
(*.f64 #s(literal 4 binary64) i)
Outputs
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(* -1/4 i)
1/4
(+ 1/4 (pow i 2))
(* -1 (pow i 2))
(* -1 i)
(* 1/2 i)
(* -1/2 i)
(* i (- (* -2 (pow i 2)) 1/2))
(* i (- (* (pow i 2) (- (* -8 (pow i 2)) 2)) 1/2))
(* i (- (* (pow i 2) (- (* (pow i 2) (- (* -32 (pow i 2)) 8)) 2)) 1/2))
-1
(- (* 4 (pow i 2)) 1)
(* 1/4 (pow i 2))
(* 1/4 i)
(* 4 i)
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(pow i 2)
(* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(/ 1/8 i)
(/ (+ 1/8 (* 1/32 (/ 1 (pow i 2)))) i)
(/ (+ 1/8 (+ (/ 1/128 (pow i 4)) (* 1/32 (/ 1 (pow i 2))))) i)
(/ (+ 1/8 (+ (/ 1/128 (pow i 4)) (+ (* 1/32 (/ 1 (pow i 2))) (* 1/512 (/ 1 (pow i 6)))))) i)
(* 4 (pow i 2))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (/ (- (* -1 (/ (+ 1/32 (* 1/128 (/ 1 (pow i 2)))) (pow i 2))) 1/8) i))
(* -1 (/ (- (* -1 (/ (+ 1/128 (* 1/512 (/ 1 (pow i 2)))) (pow i 4))) (+ 1/8 (* 1/32 (/ 1 (pow i 2))))) i))
Calls

3 calls:

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

simplify151.0ms (2.3%)

Memory
13.9MiB live, 121.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114302
1258302
2623297
31773292
44125292
56606292
08070279
Stop Event
iter limit
node limit
Counts
35 → 35
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)
1/4
(+ 1/4 (pow i 2))
(* -1 (pow i 2))
(* -1 i)
(* 1/2 i)
(* -1/2 i)
(* i (- (* -2 (pow i 2)) 1/2))
(* i (- (* (pow i 2) (- (* -8 (pow i 2)) 2)) 1/2))
(* i (- (* (pow i 2) (- (* (pow i 2) (- (* -32 (pow i 2)) 8)) 2)) 1/2))
-1
(- (* 4 (pow i 2)) 1)
(* 1/4 (pow i 2))
(* 1/4 i)
(* 4 i)
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(pow i 2)
(* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(/ 1/8 i)
(/ (+ 1/8 (* 1/32 (/ 1 (pow i 2)))) i)
(/ (+ 1/8 (+ (/ 1/128 (pow i 4)) (* 1/32 (/ 1 (pow i 2))))) i)
(/ (+ 1/8 (+ (/ 1/128 (pow i 4)) (+ (* 1/32 (/ 1 (pow i 2))) (* 1/512 (/ 1 (pow i 6)))))) i)
(* 4 (pow i 2))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (/ (- (* -1 (/ (+ 1/32 (* 1/128 (/ 1 (pow i 2)))) (pow i 2))) 1/8) i))
(* -1 (/ (- (* -1 (/ (+ 1/128 (* 1/512 (/ 1 (pow i 2)))) (pow i 4))) (+ 1/8 (* 1/32 (/ 1 (pow i 2))))) i))
Outputs
(* -1/4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal -1/4 binary64))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 (pow.f64 i #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) i) i))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(*.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -4 binary64) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 i i))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(*.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal -4 binary64)) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 i i))
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
1/4
#s(literal 1/4 binary64)
(+ 1/4 (pow i 2))
(fma.f64 i i #s(literal 1/4 binary64))
(* -1 (pow i 2))
(*.f64 (neg.f64 i) i)
(* -1 i)
(neg.f64 i)
(* 1/2 i)
(*.f64 #s(literal 1/2 binary64) i)
(* -1/2 i)
(*.f64 #s(literal -1/2 binary64) i)
(* i (- (* -2 (pow i 2)) 1/2))
(*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 i i) #s(literal -1/2 binary64)) i)
(* i (- (* (pow i 2) (- (* -8 (pow i 2)) 2)) 1/2))
(*.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) (*.f64 i i) #s(literal -2 binary64)) (*.f64 i i) #s(literal -1/2 binary64)) i)
(* i (- (* (pow i 2) (- (* (pow i 2) (- (* -32 (pow i 2)) 8)) 2)) 1/2))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -32 binary64) (*.f64 i i) #s(literal -8 binary64)) (*.f64 i i) #s(literal -2 binary64)) (*.f64 i i) #s(literal -1/2 binary64)) i)
-1
#s(literal -1 binary64)
(- (* 4 (pow i 2)) 1)
(fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))
(* 1/4 (pow i 2))
(*.f64 (*.f64 #s(literal 1/4 binary64) i) i)
(* 1/4 i)
(*.f64 #s(literal 1/4 binary64) i)
(* 4 i)
(*.f64 #s(literal 4 binary64) i)
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(pow i 2)
(*.f64 i i)
(* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(fma.f64 i i #s(literal 1/4 binary64))
(/ 1/8 i)
(/.f64 #s(literal 1/8 binary64) i)
(/ (+ 1/8 (* 1/32 (/ 1 (pow i 2)))) i)
(/.f64 (-.f64 (/.f64 #s(literal 1/32 binary64) (*.f64 i i)) #s(literal -1/8 binary64)) i)
(/ (+ 1/8 (+ (/ 1/128 (pow i 4)) (* 1/32 (/ 1 (pow i 2))))) i)
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/128 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/8 binary64)) (/.f64 #s(literal -1/32 binary64) (*.f64 i i))) i)
(/ (+ 1/8 (+ (/ 1/128 (pow i 4)) (+ (* 1/32 (/ 1 (pow i 2))) (* 1/512 (/ 1 (pow i 6)))))) i)
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/512 binary64) (pow.f64 i #s(literal 6 binary64))) #s(literal 1/8 binary64)) (-.f64 (/.f64 #s(literal 1/128 binary64) (pow.f64 i #s(literal 4 binary64))) (/.f64 #s(literal -1/32 binary64) (*.f64 i i)))) i)
(* 4 (pow i 2))
(*.f64 #s(literal 4 binary64) (*.f64 i i))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))
(* -1 (pow i 4))
(neg.f64 (pow.f64 i #s(literal 4 binary64)))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 (pow.f64 i #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) i) i))
(* -1 (/ (- (* -1 (/ (+ 1/32 (* 1/128 (/ 1 (pow i 2)))) (pow i 2))) 1/8) i))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/128 binary64) (*.f64 i i)) #s(literal -1/32 binary64)) (pow.f64 i #s(literal 3 binary64))) (/.f64 #s(literal -1/8 binary64) i))
(* -1 (/ (- (* -1 (/ (+ 1/128 (* 1/512 (/ 1 (pow i 2)))) (pow i 4))) (+ 1/8 (* 1/32 (/ 1 (pow i 2))))) i))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/512 binary64) (*.f64 i i)) #s(literal -1/128 binary64)) (pow.f64 i #s(literal 4 binary64))) (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/32 binary64) (*.f64 i i)))) i)

rewrite238.0ms (3.7%)

Memory
20.9MiB live, 294.8MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031149
046137
1175129
21225121
09374121
Stop Event
iter limit
node limit
iter limit
Counts
16 → 1 181
Calls
Call 1
Inputs
#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 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i)))
(fma.f64 i i #s(literal 1/4 binary64))
(*.f64 (neg.f64 i) i)
(neg.f64 i)
(*.f64 (*.f64 #s(literal 1/2 binary64) i) (/.f64 (*.f64 #s(literal 1/2 binary64) i) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(*.f64 #s(literal 1/2 binary64) i)
(/.f64 (*.f64 #s(literal 1/2 binary64) i) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 i #s(literal 1/4 binary64)) i) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
(*.f64 (*.f64 i #s(literal 1/4 binary64)) i)
(*.f64 i #s(literal 1/4 binary64))
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i))
(*.f64 #s(literal 4 binary64) i)
Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i)
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) i) #s(literal -1/2 binary64)) i)
(*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) i) (*.f64 i i)) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/4 binary64))) (pow.f64 i #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 i i) (*.f64 #s(literal 4 binary64) i))) i)
(*.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) i))) (/.f64 i (*.f64 #s(literal 2 binary64) i)))
(*.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 i #s(literal 3 binary64)) i)) (/.f64 i (*.f64 #s(literal 4 binary64) i)))
(*.f64 (*.f64 #s(literal -1 binary64) (/.f64 i (*.f64 #s(literal 2 binary64) i))) (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) i)))
(*.f64 (*.f64 (*.f64 (neg.f64 i) i) (*.f64 #s(literal 1/4 binary64) i)) (pow.f64 i #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (neg.f64 i) i) (/.f64 i (*.f64 #s(literal 2 binary64) i))) (/.f64 i (*.f64 #s(literal 2 binary64) i)))
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) i) #s(literal -1 binary64)) i)
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) i) i)) (/.f64 (*.f64 i i) (*.f64 (*.f64 #s(literal 2 binary64) i) i)))
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) i) i)) #s(literal 1/2 binary64))
(*.f64 (neg.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/4 binary64))) (pow.f64 i #s(literal -1 binary64)))
(*.f64 (neg.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) i))) (/.f64 i (*.f64 #s(literal 2 binary64) i)))
(*.f64 (neg.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) i)) (/.f64 i (*.f64 #s(literal 4 binary64) i)))
(*.f64 (neg.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/2 binary64))) (/.f64 i (*.f64 (*.f64 #s(literal 2 binary64) i) i)))
(*.f64 (neg.f64 (/.f64 i (*.f64 #s(literal 2 binary64) i))) (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) i)))
(*.f64 (neg.f64 (/.f64 (*.f64 i i) (*.f64 #s(literal 4 binary64) i))) i)
(*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) i) i) (/.f64 (*.f64 i i) (*.f64 (*.f64 #s(literal 2 binary64) i) i)))
(*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) i) i) (/.f64 i (*.f64 #s(literal 2 binary64) i)))
(*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) i) i) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 (neg.f64 i) i) #s(literal 1 binary64)) (/.f64 i (*.f64 #s(literal 4 binary64) i)))
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(*.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64))
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eval194.0ms (3%)

Memory
-14.8MiB live, 232.5MiB allocated
Compiler

Compiled 29 951 to 2 999 computations (90% saved)

prune31.0ms (0.5%)

Memory
1.2MiB live, 73.3MiB allocated
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New1 12711 128
Fresh000
Picked134
Done022
Total1 12861 134
Accuracy
100.0%
Counts
1 134 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.6%
(/.f64 (*.f64 (*.f64 i #s(literal 1/4 binary64)) i) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
75.3%
(*.f64 (/.f64 i (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i))
54.7%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
46.1%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i)))
46.0%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
54.7%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Compiler

Compiled 150 to 76 computations (49.3% saved)

simplify4.0ms (0.1%)

Memory
8.1MiB live, 8.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0936
01536
12636
23736
34436
44736
04736
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 i (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i))
(/.f64 i (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
i
(fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))
(*.f64 #s(literal 4 binary64) i)
#s(literal 4 binary64)
#s(literal -1 binary64)
(*.f64 #s(literal 1/4 binary64) i)
#s(literal 1/4 binary64)
Outputs
(*.f64 (/.f64 i (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i))
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) (*.f64 i i))
(/.f64 i (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
i
(fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))
(*.f64 #s(literal 4 binary64) i)
#s(literal 4 binary64)
#s(literal -1 binary64)
(*.f64 #s(literal 1/4 binary64) i)
#s(literal 1/4 binary64)

localize32.0ms (0.5%)

Memory
-31.6MiB live, 52.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 #s(literal 4 binary64) i)
accuracy0.0
(*.f64 #s(literal 1/4 binary64) i)
accuracy0.07421875
(*.f64 (/.f64 i (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i))
accuracy15.125110130910581
(/.f64 i (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
Samples
19.0ms256×0valid
Compiler

Compiled 77 to 21 computations (72.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 8.0ms (67.3% of total)
ival-div: 2.0ms (16.8% of total)
ival-add: 1.0ms (8.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0%)

Memory
7.0MiB live, 7.0MiB allocated
Counts
5 → 24
Calls
Call 1
Inputs
(*.f64 (/.f64 i (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i))
(/.f64 i (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))
(*.f64 #s(literal 4 binary64) i)
(*.f64 #s(literal 1/4 binary64) i)
Outputs
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(* -1 i)
(* i (- (* -4 (pow i 2)) 1))
(* i (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1))
(* i (- (* (pow i 2) (- (* (pow i 2) (- (* -64 (pow i 2)) 16)) 4)) 1))
-1
(- (* 4 (pow i 2)) 1)
(* 4 i)
(* 1/4 i)
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(/ 1/4 i)
(/ (+ 1/4 (* 1/16 (/ 1 (pow i 2)))) i)
(/ (+ 1/4 (+ (/ 1/64 (pow i 4)) (* 1/16 (/ 1 (pow i 2))))) i)
(/ (+ 1/4 (+ (/ 1/64 (pow i 4)) (+ (* 1/16 (/ 1 (pow i 2))) (* 1/256 (/ 1 (pow i 6)))))) i)
(* 4 (pow i 2))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (pow i 2))) 1/4) i))
(* -1 (/ (- (* -1 (/ (+ 1/64 (* 1/256 (/ 1 (pow i 2)))) (pow i 4))) (+ 1/4 (* 1/16 (/ 1 (pow i 2))))) i))
Calls

3 calls:

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

simplify125.0ms (1.9%)

Memory
28.5MiB live, 219.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087254
1189254
2456241
31179241
42837241
55996241
08215233
Stop Event
iter limit
node limit
Counts
24 → 24
Calls
Call 1
Inputs
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(* -1 i)
(* i (- (* -4 (pow i 2)) 1))
(* i (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1))
(* i (- (* (pow i 2) (- (* (pow i 2) (- (* -64 (pow i 2)) 16)) 4)) 1))
-1
(- (* 4 (pow i 2)) 1)
(* 4 i)
(* 1/4 i)
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(/ 1/4 i)
(/ (+ 1/4 (* 1/16 (/ 1 (pow i 2)))) i)
(/ (+ 1/4 (+ (/ 1/64 (pow i 4)) (* 1/16 (/ 1 (pow i 2))))) i)
(/ (+ 1/4 (+ (/ 1/64 (pow i 4)) (+ (* 1/16 (/ 1 (pow i 2))) (* 1/256 (/ 1 (pow i 6)))))) i)
(* 4 (pow i 2))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (pow i 2))) 1/4) i))
(* -1 (/ (- (* -1 (/ (+ 1/64 (* 1/256 (/ 1 (pow i 2)))) (pow i 4))) (+ 1/4 (* 1/16 (/ 1 (pow i 2))))) i))
Outputs
(* -1/4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal -1/4 binary64))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(*.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -4 binary64) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 i i))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(*.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -16 binary64) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -4 binary64) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) (*.f64 i i))
(* -1 i)
(neg.f64 i)
(* i (- (* -4 (pow i 2)) 1))
(fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal -4 binary64) (neg.f64 i))
(* i (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1))
(fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal -16 binary64) (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal -4 binary64) (neg.f64 i)))
(* i (- (* (pow i 2) (- (* (pow i 2) (- (* -64 (pow i 2)) 16)) 4)) 1))
(fma.f64 (pow.f64 i #s(literal 5 binary64)) (fma.f64 #s(literal -64 binary64) (*.f64 i i) #s(literal -16 binary64)) (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal -4 binary64) (neg.f64 i)))
-1
#s(literal -1 binary64)
(- (* 4 (pow i 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(* 4 i)
(*.f64 #s(literal 4 binary64) i)
(* 1/4 i)
(*.f64 #s(literal 1/4 binary64) i)
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(-.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (-.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (-.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (-.f64 #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))))
(/ 1/4 i)
(/.f64 #s(literal 1/4 binary64) i)
(/ (+ 1/4 (* 1/16 (/ 1 (pow i 2)))) i)
(/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 i i)) #s(literal -1/4 binary64)) i)
(/ (+ 1/4 (+ (/ 1/64 (pow i 4)) (* 1/16 (/ 1 (pow i 2))))) i)
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64)) (pow.f64 i #s(literal 3 binary64))) (/.f64 #s(literal -1/4 binary64) i))
(/ (+ 1/4 (+ (/ 1/64 (pow i 4)) (+ (* 1/16 (/ 1 (pow i 2))) (* 1/256 (/ 1 (pow i 6)))))) i)
(/.f64 (-.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 6 binary64))) (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) i) i) #s(literal 1/4 binary64))) i)
(* 4 (pow i 2))
(*.f64 #s(literal 4 binary64) (*.f64 i i))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (pow i 2))) 1/4) i))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64)) (pow.f64 i #s(literal 3 binary64))) (/.f64 #s(literal -1/4 binary64) i))
(* -1 (/ (- (* -1 (/ (+ 1/64 (* 1/256 (/ 1 (pow i 2)))) (pow i 4))) (+ 1/4 (* 1/16 (/ 1 (pow i 2))))) i))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/256 binary64) (*.f64 i i)) #s(literal -1/64 binary64)) (pow.f64 i #s(literal 4 binary64))) (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 i i)))) i)

rewrite184.0ms (2.8%)

Memory
-14.0MiB live, 178.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0932
01532
14732
226432
3250732
0895032
Stop Event
iter limit
node limit
iter limit
Counts
5 → 431
Calls
Call 1
Inputs
(*.f64 (/.f64 i (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i))
(/.f64 i (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))
(*.f64 #s(literal 4 binary64) i)
(*.f64 #s(literal 1/4 binary64) i)
Outputs
(*.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal -1 binary64)) (*.f64 i i)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 1/4 binary64) i)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64)) #s(literal -1 binary64)) i) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -1 binary64)) (*.f64 i i)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 1/4 binary64) i)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64))) #s(literal -1 binary64)) i) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal -1/4 binary64)) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal -1/4 binary64)) (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64)))) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 4 binary64) i) i)))
(*.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (neg.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) i) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64))) (neg.f64 i))
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) i) #s(literal 1 binary64)) (/.f64 i (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) i) #s(literal -1 binary64)) (/.f64 i (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 i i) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal -1 binary64))) (/.f64 #s(literal -1/4 binary64) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 i i) (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) i) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal -1 binary64))) (/.f64 i (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) i) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal -1 binary64))) (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 4 binary64) i))
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) i) (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -1 binary64))) (/.f64 i (pow.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) i) (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64))) i))
(*.f64 (/.f64 i #s(literal 1 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 i (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))))
(*.f64 (pow.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 i i) #s(literal 1/4 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 i i) #s(literal 1/4 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 i (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal -1 binary64))) (pow.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 1/4 binary64) i)) #s(literal -1 binary64)))
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(fma.f64 #s(literal 4 binary64) (neg.f64 (*.f64 i i)) #s(literal -1 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 i (neg.f64 i)) #s(literal -1 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(fma.f64 i (pow.f64 (neg.f64 (*.f64 i #s(literal -4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 i (pow.f64 (*.f64 #s(literal 4 binary64) i) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 i (/.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 i i)) i) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 i (neg.f64 (*.f64 i #s(literal -4 binary64))) #s(literal -1 binary64))
(fma.f64 i (neg.f64 (*.f64 #s(literal 4 binary64) i)) #s(literal -1 binary64))
(fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal -1 binary64))
(fma.f64 i (*.f64 #s(literal 4 binary64) i) #s(literal -1 binary64))
(expm1.f64 (*.f64 (fma.f64 (log.f64 i) #s(literal 2 binary64) (log.f64 #s(literal 4 binary64))) #s(literal 1 binary64)))
(expm1.f64 (fma.f64 (log.f64 i) #s(literal 2 binary64) (log.f64 #s(literal 4 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (pow.f64 i #s(literal 8 binary64)) #s(literal 256 binary64)) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (pow.f64 i #s(literal 12 binary64)) #s(literal 4096 binary64)) (fma.f64 (pow.f64 i #s(literal 8 binary64)) #s(literal 256 binary64) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal 1 binary64)))) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 (pow.f64 i #s(literal 8 binary64)) #s(literal 256 binary64) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal 16 binary64) (/.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal 16 binary64) (/.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64)) #s(literal -1 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 (pow.f64 i #s(literal 12 binary64)) #s(literal 4096 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64)) #s(literal -1 binary64)))))) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64)) #s(literal -1 binary64)))))))
(-.f64 (/.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (*.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)))) (neg.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal -1 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal -1 binary64))))
(-.f64 (/.f64 (*.f64 (pow.f64 i #s(literal 8 binary64)) #s(literal 256 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64)) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64)) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 4 binary64) i) i)))) (/.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 4 binary64) i) i)))))
(-.f64 (/.f64 (*.f64 (pow.f64 i #s(literal 12 binary64)) #s(literal 4096 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64)) (fma.f64 (pow.f64 i #s(literal 8 binary64)) #s(literal 256 binary64) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64)) (fma.f64 (pow.f64 i #s(literal 8 binary64)) #s(literal 256 binary64) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal 1 binary64))))))
(-.f64 (/.f64 (*.f64 (pow.f64 i #s(literal 12 binary64)) #s(literal 4096 binary64)) (*.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64))) (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64))) (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64)))))) (/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64))))) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (pow.f64 i #s(literal 12 binary64)) #s(literal 4096 binary64)) (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64))))) (/.f64 (pow.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64))))))
(-.f64 (/.f64 (/.f64 (*.f64 (pow.f64 i #s(literal 12 binary64)) #s(literal 4096 binary64)) (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64)))))) (/.f64 (pow.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (neg.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64)))))))
(-.f64 (/.f64 (/.f64 (*.f64 (pow.f64 i #s(literal 12 binary64)) #s(literal 4096 binary64)) (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal -1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 4 binary64) i) i)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 4 binary64) i) i))) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) i) i) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 4 binary64) i) i)) #s(literal -1 binary64)) (/.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 4 binary64) i) i))))
(-.f64 (/.f64 (*.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 6 binary64))) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64)))) (pow.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64)))
(-.f64 (*.f64 (*.f64 #s(literal 4 binary64) i) i) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) i) i) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) #s(literal -1 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal 1 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal -1 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) i) i) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 4 binary64) i) i))
(*.f64 #s(literal 4 binary64) i)
(*.f64 i #s(literal 4 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) i))
(*.f64 (*.f64 #s(literal 1/4 binary64) i) #s(literal 1 binary64))
(*.f64 #s(literal 1/4 binary64) i)
(*.f64 i #s(literal 1/4 binary64))

eval93.0ms (1.4%)

Memory
2.8MiB live, 138.0MiB allocated
Compiler

Compiled 12 637 to 1 612 computations (87.2% saved)

prune10.0ms (0.2%)

Memory
-1.1MiB live, 36.9MiB allocated
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New4530453
Fresh000
Picked011
Done055
Total4536459
Accuracy
100.0%
Counts
459 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.6%
(/.f64 (*.f64 (*.f64 i #s(literal 1/4 binary64)) i) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
75.3%
(*.f64 (/.f64 i (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i))
54.7%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
46.1%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i)))
46.0%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
54.7%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Compiler

Compiled 434 to 140 computations (67.7% saved)

regimes8.0ms (0.1%)

Memory
18.5MiB live, 18.5MiB allocated
Counts
12 → 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))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
(*.f64 (/.f64 i (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i))
(/.f64 (*.f64 i i) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
(/.f64 (*.f64 (*.f64 i #s(literal 1/4 binary64)) i) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) i) (/.f64 (*.f64 #s(literal 1/2 binary64) i) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(/.f64 (*.f64 i (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) i) #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Outputs
(/.f64 (*.f64 i (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) i) #s(literal 2 binary64)))
Calls

2 calls:

4.0ms
i
4.0ms
(/.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
99.8%1i
99.8%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)))
Compiler

Compiled 26 to 11 computations (57.7% saved)

regimes8.0ms (0.1%)

Memory
-21.8MiB live, 16.9MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
(*.f64 (/.f64 i (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i))
(/.f64 (*.f64 i i) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
(/.f64 (*.f64 (*.f64 i #s(literal 1/4 binary64)) i) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) i) (/.f64 (*.f64 #s(literal 1/2 binary64) i) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
Outputs
(/.f64 (*.f64 (*.f64 i #s(literal 1/4 binary64)) i) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #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:

4.0ms
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
3.0ms
i
Results
AccuracySegmentsBranch
100.0%2i
79.9%2(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Compiler

Compiled 26 to 11 computations (57.7% saved)

regimes3.0ms (0.1%)

Memory
6.7MiB live, 6.7MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
(*.f64 (/.f64 i (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i))
(/.f64 (*.f64 i i) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
Outputs
(*.f64 (/.f64 i (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Calls

1 calls:

3.0ms
i
Results
AccuracySegmentsBranch
100.0%2i
Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0%)

Memory
5.6MiB live, 5.6MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
Calls

1 calls:

2.0ms
i
Results
AccuracySegmentsBranch
99.6%2i
Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0%)

Memory
5.6MiB live, 5.6MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i)))
Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Calls

1 calls:

2.0ms
i
Results
AccuracySegmentsBranch
99.1%2i
Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory
4.6MiB live, 4.6MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #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:

2.0ms
i
Results
AccuracySegmentsBranch
98.9%2i
Compiler

Compiled 1 to 1 computations (0% saved)

regimes24.0ms (0.4%)

Memory
-42.2MiB live, 4.0MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Calls

1 calls:

23.0ms
i
Results
AccuracySegmentsBranch
98.9%2i
Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory
5.9MiB live, 5.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

1.0ms
i
1.0ms
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
54.7%1(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
54.7%1i
Compiler

Compiled 26 to 11 computations (57.7% saved)

bsearch2.0ms (0%)

Memory
3.9MiB live, 3.9MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
2.0ms
3064874.5126212444
86208765113.20306
Samples
1.0ms16×0valid
Compiler

Compiled 67 to 37 computations (44.8% 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)
ival-mult: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
0.0ms
3064874.5126212444
86208765113.20306
Compiler

Compiled 67 to 37 computations (44.8% saved)

bsearch15.0ms (0.2%)

Memory
20.0MiB live, 20.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
0.0001328010985472795
0.5556617225183537
Samples
8.0ms128×0valid
Compiler

Compiled 572 to 286 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (57.9% of total)
ival-sub: 1.0ms (19.3% of total)
ival-div: 1.0ms (19.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.0001328010985472795
0.5556617225183537
Compiler

Compiled 524 to 254 computations (51.5% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.0001328010985472795
0.5556617225183537
Compiler

Compiled 492 to 238 computations (51.6% saved)

bsearch1.0ms (0%)

Memory
2.8MiB live, 2.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.0001328010985472795
0.5556617225183537
Compiler

Compiled 492 to 238 computations (51.6% saved)

simplify73.0ms (1.1%)

Memory
-9.6MiB live, 65.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
056392
187370
2240326
31141304
42566293
54794282
67298282
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 i (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) i) #s(literal 2 binary64)))
(if (<=.f64 i #s(literal 5000000 binary64)) (/.f64 (*.f64 (*.f64 i #s(literal 1/4 binary64)) i) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #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 5000000 binary64)) (*.f64 (/.f64 i (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Outputs
(/.f64 (*.f64 i (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) i) #s(literal 2 binary64)))
(if (<=.f64 i #s(literal 5000000 binary64)) (/.f64 (*.f64 (*.f64 i #s(literal 1/4 binary64)) i) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #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 5000000 binary64)) (*.f64 (/.f64 i (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

soundness1.2s (19.1%)

Memory
7.0MiB live, 596.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031149
046137
1175129
21225121
09374121
049123
194123
2218122
3508118
41079118
52115118
64129118
76260118
08072113
01063
01747
17541
265329
0877227
035212
050188
1206180
21609159
08628151
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 577 to 155 computations (73.1% saved)

preprocess88.0ms (1.4%)

Memory
22.9MiB live, 97.5MiB allocated
Remove

(abs i)

Compiler

Compiled 920 to 182 computations (80.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...