Octave 3.8, jcobi/4, as called

Time bar (total: 7.3s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze3.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
0%0%50%50%0%0%0%1
50%25%25%50%0%0%0%2
50%25%25%50%0%0%0%3
75%37.5%12.5%50%0%0%0%4
87.5%43.7%6.2%50%0%0%0%5
93.8%46.9%3.1%50%0%0%0%6
96.9%48.4%1.6%50%0%0%0%7
98.4%49.2%0.8%50%0%0%0%8
99.2%49.6%0.4%50%0%0%0%9
99.6%49.8%0.2%50%0%0%0%10
99.8%49.9%0.1%50%0%0%0%11
99.9%49.9%0%50%0%0%0%12
Compiler

Compiled 29 to 13 computations (55.2% saved)

sample1.6s (21.7%)

Memory
-13.5MiB live, 739.3MiB allocated
Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 777.0ms
ival-mult: 365.0ms (47% of total)
ival-div: 220.0ms (28.3% of total)
ival-sub: 154.0ms (19.8% of total)
ival->: 22.0ms (2.8% of total)
exact: 13.0ms (1.7% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain485.0ms (6.6%)

Memory
-95.3MiB live, 237.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1951(4.0685433553542705e-162)3(1.1301171863215921e-80)(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
620-0-(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
00-0-#s(literal 1 binary64)
00-0-(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
00-0-(*.f64 i i)
00-0-(*.f64 (*.f64 i i) (*.f64 i i))
00-0-(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
00-0-i
00-0-#s(literal 2 binary64)
00-0-(*.f64 #s(literal 2 binary64) i)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))o/o620
(*.f64 (*.f64 i i) (*.f64 i i))overflow101
(*.f64 i i)overflow124
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))overflow62
/.f64(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))o/o620
(*.f64 (*.f64 i i) (*.f64 i i))overflow101
(*.f64 i i)overflow124
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))overflow62
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))overflow62
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))overflow62
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))overflow62
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))u/u600
(*.f64 (*.f64 i i) (*.f64 i i))underflow92
(*.f64 i i)underflow120
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))underflow60
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))o/n390
(*.f64 (*.f64 i i) (*.f64 i i))overflow101
(*.f64 i i)overflow124
/.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))underflow92
(*.f64 i i)underflow120
Confusion
Predicted +Predicted -
+1923
-160
Precision
0.9948186528497409
Recall
0.9846153846153847
Confusion?
Predicted +Predicted MaybePredicted -
+19203
-1159
Precision?
0.9896907216494846
Recall?
0.9846153846153847
Freqs
test
numberfreq
063
1131
262
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
71.0ms512×0valid
Compiler

Compiled 173 to 34 computations (80.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-div: 41.0ms (72.7% of total)
ival-mult: 12.0ms (21.3% of total)
ival-sub: 2.0ms (3.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess169.0ms (2.3%)

Memory
4.6MiB live, 237.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

(abs i)

Compiler

Compiled 25 to 10 computations (60% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.3%
(/.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)

simplify151.0ms (2.1%)

Memory
11.7MiB live, 240.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize28.0ms (0.4%)

Memory
-28.0MiB live, 61.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
accuracy0.109375
(*.f64 (*.f64 i i) (*.f64 i i))
accuracy15.021063347142775
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
accuracy43.55698652244909
(/.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 74 to 12 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 6.0ms (54.9% of total)
ival-div: 3.0ms (27.5% of total)
ival-sub: 1.0ms (9.2% 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
7.8MiB live, 7.8MiB allocated
Counts
5 → 14
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
(*.f64 (*.f64 i i) (*.f64 i i))
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
Outputs
(* 1/4 (pow i 2))
(pow i 4)
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(* 4 (pow i 2))
-1
(- (* 4 (pow i 2)) 1)
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
Calls

3 calls:

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

simplify281.0ms (3.8%)

Memory
19.3MiB live, 172.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite158.0ms (2.2%)

Memory
6.3MiB live, 200.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01063
01747
17541
265329
0877227
Stop Event
iter limit
node limit
iter limit
Counts
5 → 653
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
(*.f64 (*.f64 i i) (*.f64 i i))
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
Outputs
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) i)) i)
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) i) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) i) #s(literal -2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) i) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) i) #s(literal 1 binary64)))
(*.f64 (neg.f64 (*.f64 (neg.f64 i) i)) #s(literal 1/4 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) i))
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (pow.f64 i #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 i #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) i) #s(literal -1 binary64)) (pow.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 i i)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) i) i) #s(literal 1/2 binary64))
(*.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/4 binary64)) (pow.f64 i #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 i #s(literal -2 binary64)))
(*.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) i) i)))
(*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 i i)) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(*.f64 (*.f64 i #s(literal -1/2 binary64)) (*.f64 i #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64))) (/.f64 i (*.f64 #s(literal -4 binary64) (*.f64 i i))))
(*.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64))) (*.f64 i (/.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(*.f64 (neg.f64 i) (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 i i))))
(*.f64 (neg.f64 i) (*.f64 (pow.f64 i #s(literal 3 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(*.f64 (/.f64 #s(literal 1/2 binary64) i) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal 1/4 binary64) i) (pow.f64 (*.f64 i (pow.f64 i #s(literal -4 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/4 binary64) i) (pow.f64 i #s(literal 3 binary64)))
(*.f64 (pow.f64 i #s(literal -1 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal 1/4 binary64) i) (*.f64 (pow.f64 i #s(literal -1 binary64)) (*.f64 i i)))
(*.f64 (*.f64 #s(literal 1/4 binary64) i) i)
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 i i)))
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(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 i i)))
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eval135.0ms (1.9%)

Memory
-30.2MiB live, 171.8MiB allocated
Compiler

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

prune16.0ms (0.2%)

Memory
2.4MiB live, 48.0MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New6957702
Fresh000
Picked101
Done000
Total6967703
Accuracy
100.0%
Counts
703 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.5%
(/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
76.3%
(/.f64 (*.f64 #s(literal 1/2 binary64) i) (*.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
76.4%
(*.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i))
49.9%
#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)))
50.6%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
50.5%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
50.2%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Compiler

Compiled 334 to 178 computations (46.7% saved)

simplify131.0ms (1.8%)

Memory
19.0MiB live, 211.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 i i)
cost-diff0
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
cost-diff0
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
cost-diff0
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
cost-diff0
(fma.f64 i i #s(literal 1/4 binary64))
cost-diff0
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)
cost-diff0
(*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
cost-diff0
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
cost-diff0
(*.f64 i i)
cost-diff0
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
cost-diff0
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
cost-diff0
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
cost-diff0
(*.f64 i i)
cost-diff0
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
cost-diff0
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
cost-diff5
(/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032224
045208
195198
2305174
31342174
44165164
56931164
08153159
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
#s(literal 1/4 binary64)
(*.f64 i i)
i
(fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))
#s(literal 2 binary64)
#s(literal -1 binary64)
(fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(literal 1/16 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #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 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(*.f64 (/.f64 i (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64))) i)
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) #s(literal 1/4 binary64)) i)
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(*.f64 (*.f64 i #s(literal 1/4 binary64)) i)
#s(literal 1/4 binary64)
(*.f64 i i)
i
(fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))
#s(literal 2 binary64)
#s(literal -1 binary64)
(fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(literal 1/16 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #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)))
#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)

localize230.0ms (3.2%)

Memory
-2.7MiB live, 118.9MiB 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)
accuracy0.33259587568037463
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
accuracy32.06967780974029
#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)
accuracy0.02734375
(*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
accuracy0.03515625
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)
accuracy31.617664462802566
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
accuracy0.0
(*.f64 i i)
accuracy0.0
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
accuracy31.70875327574276
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
accuracy31.848817171906077
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
accuracy0.0
(*.f64 i i)
accuracy0.0
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
accuracy0.0234375
(/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
accuracy14.43164659729873
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
Samples
214.0ms256×0valid
Compiler

Compiled 208 to 29 computations (86.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 199.0ms
ival-mult: 184.0ms (92.7% of total)
ival-div: 7.0ms (3.5% of total)
ival-add: 5.0ms (2.5% of total)
ival-sub: 1.0ms (0.5% of total)
exact: 1.0ms (0.5% of total)
ival-neg: 1.0ms (0.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
-21.0MiB live, 17.0MiB allocated
Counts
15 → 31
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(*.f64 i i)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
(*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)
(fma.f64 i i #s(literal 1/4 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(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))
(* (pow i 2) (- (* -1/2 i) 1/4))
(* (pow i 2) (- (* i (- (* -1 i) 1/2)) 1/4))
(* (pow i 2) (- (* i (- (* i (- (* -2 i) 1)) 1/2)) 1/4))
(* 1/4 (pow i 2))
(pow i 2)
(* 1/4 i)
(* i (+ 1/4 (pow i 2)))
1/4
(+ 1/4 (pow i 2))
(/ 1/64 (pow i 2))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(* -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))))))
(* 1/8 i)
(* i (+ 1/8 (* 1/16 (/ 1 i))))
(* i (+ 1/8 (+ (/ 1/32 (pow i 2)) (* 1/16 (/ 1 i)))))
(* i (+ 1/8 (+ (/ 1/32 (pow i 2)) (+ (* 1/16 (/ 1 i)) (* 1/64 (/ 1 (pow i 3)))))))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(pow i 3)
(* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(* -1 (* i (- (* -1 (/ (+ 1/16 (* 1/32 (/ 1 i))) i)) 1/8)))
(* -1 (* i (- (* -1 (/ (+ 1/16 (+ (/ 1/64 (pow i 2)) (* 1/32 (/ 1 i)))) i)) 1/8)))
Calls

3 calls:

TimeVariablePointExpression
5.0ms
i
@inf
((/ (/ (* 1/4 (* i i)) (+ (* 2 i) -1)) (+ (* 2 i) 1)) (/ (* 1/4 (* i i)) (+ (* 2 i) -1)) (* 1/4 (* i i)) (* i i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* -1/4 (* i i)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* (+ (* i i) 1/4) i) (neg i)) (* (+ (* i i) 1/4) i) (+ (* i i) 1/4) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+ (/ 1/64 (* i i)) 1/16) (/ 1/64 (* i i)) (neg i))
2.0ms
i
@0
((/ (/ (* 1/4 (* i i)) (+ (* 2 i) -1)) (+ (* 2 i) 1)) (/ (* 1/4 (* i i)) (+ (* 2 i) -1)) (* 1/4 (* i i)) (* i i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* -1/4 (* i i)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* (+ (* i i) 1/4) i) (neg i)) (* (+ (* i i) 1/4) i) (+ (* i i) 1/4) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+ (/ 1/64 (* i i)) 1/16) (/ 1/64 (* i i)) (neg i))
2.0ms
i
@-inf
((/ (/ (* 1/4 (* i i)) (+ (* 2 i) -1)) (+ (* 2 i) 1)) (/ (* 1/4 (* i i)) (+ (* 2 i) -1)) (* 1/4 (* i i)) (* i i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* -1/4 (* i i)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* (+ (* i i) 1/4) i) (neg i)) (* (+ (* i i) 1/4) i) (+ (* i i) 1/4) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+ (/ 1/64 (* i i)) 1/16) (/ 1/64 (* i i)) (neg i))

simplify118.0ms (1.6%)

Memory
28.6MiB live, 152.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0110278
1268278
2657265
31850253
47142253
08161233
Stop Event
iter limit
node limit
Counts
31 → 31
Calls
Call 1
Inputs
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(* (pow i 2) (- (* -1/2 i) 1/4))
(* (pow i 2) (- (* i (- (* -1 i) 1/2)) 1/4))
(* (pow i 2) (- (* i (- (* i (- (* -2 i) 1)) 1/2)) 1/4))
(* 1/4 (pow i 2))
(pow i 2)
(* 1/4 i)
(* i (+ 1/4 (pow i 2)))
1/4
(+ 1/4 (pow i 2))
(/ 1/64 (pow i 2))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(* -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))))))
(* 1/8 i)
(* i (+ 1/8 (* 1/16 (/ 1 i))))
(* i (+ 1/8 (+ (/ 1/32 (pow i 2)) (* 1/16 (/ 1 i)))))
(* i (+ 1/8 (+ (/ 1/32 (pow i 2)) (+ (* 1/16 (/ 1 i)) (* 1/64 (/ 1 (pow i 3)))))))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(pow i 3)
(* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(* -1 (* i (- (* -1 (/ (+ 1/16 (* 1/32 (/ 1 i))) i)) 1/8)))
(* -1 (* i (- (* -1 (/ (+ 1/16 (+ (/ 1/64 (pow i 2)) (* 1/32 (/ 1 i)))) i)) 1/8)))
Outputs
(* -1/4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal -1/4 binary64))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(*.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -4 binary64) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 i i))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(*.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal -4 binary64)) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 i i))
(* (pow i 2) (- (* -1/2 i) 1/4))
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/4 binary64)) i) i)
(* (pow i 2) (- (* i (- (* -1 i) 1/2)) 1/4))
(*.f64 (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) i) i #s(literal -1/4 binary64)) i) i)
(* (pow i 2) (- (* i (- (* i (- (* -2 i) 1)) 1/2)) 1/4))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)) i #s(literal -1/2 binary64)) i #s(literal -1/4 binary64)) i) i)
(* 1/4 (pow i 2))
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(pow i 2)
(*.f64 i i)
(* 1/4 i)
(*.f64 #s(literal 1/4 binary64) i)
(* i (+ 1/4 (pow i 2)))
(fma.f64 #s(literal 1/4 binary64) i (pow.f64 i #s(literal 3 binary64)))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (pow i 2))
(fma.f64 i i #s(literal 1/4 binary64))
(/ 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)
(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 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (+.f64 (/.f64 #s(literal 1/256 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))))
(* 1/8 i)
(*.f64 #s(literal 1/8 binary64) i)
(* i (+ 1/8 (* 1/16 (/ 1 i))))
(fma.f64 #s(literal 1/8 binary64) i #s(literal 1/16 binary64))
(* i (+ 1/8 (+ (/ 1/32 (pow i 2)) (* 1/16 (/ 1 i)))))
(fma.f64 #s(literal 1/8 binary64) i (+.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 1/16 binary64)))
(* i (+ 1/8 (+ (/ 1/32 (pow i 2)) (+ (* 1/16 (/ 1 i)) (* 1/64 (/ 1 (pow i 3)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) i) (+.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1/64 binary64) i)) (fma.f64 #s(literal 1/8 binary64) i #s(literal 1/16 binary64)))
(* -1 (pow i 4))
(neg.f64 (pow.f64 i #s(literal 4 binary64)))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)
(pow i 3)
(pow.f64 i #s(literal 3 binary64))
(* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(fma.f64 #s(literal 1/4 binary64) i (pow.f64 i #s(literal 3 binary64)))
(* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(fma.f64 i i #s(literal 1/4 binary64))
(* -1 (* i (- (* -1 (/ (+ 1/16 (* 1/32 (/ 1 i))) i)) 1/8)))
(fma.f64 #s(literal 1/8 binary64) i (+.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 1/16 binary64)))
(* -1 (* i (- (* -1 (/ (+ 1/16 (+ (/ 1/64 (pow i 2)) (* 1/32 (/ 1 i)))) i)) 1/8)))
(fma.f64 (/.f64 #s(literal 1 binary64) i) (+.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1/64 binary64) i)) (fma.f64 #s(literal 1/8 binary64) i #s(literal 1/16 binary64)))

rewrite213.0ms (2.9%)

Memory
2.7MiB live, 232.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032197
045173
1188163
21521146
08638139
Stop Event
iter limit
node limit
iter limit
Counts
15 → 632
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(*.f64 i i)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
(*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)
(fma.f64 i i #s(literal 1/4 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(neg.f64 i)
Outputs
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 i #s(literal 1/2 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (pow.f64 (*.f64 i #s(literal 1/2 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) i) (pow.f64 i #s(literal -4 binary64)))) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)) (pow.f64 i #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 i #s(literal 1/2 binary64)) #s(literal -2 binary64)) (pow.f64 i #s(literal -4 binary64))) #s(literal -1 binary64)) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) i)) #s(literal -1 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) i)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (pow.f64 i #s(literal -4 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 i i))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (pow.f64 i #s(literal -2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (*.f64 (/.f64 i (*.f64 i #s(literal 4 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64)) (*.f64 (*.f64 i i) #s(literal 1/4 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (pow.f64 (*.f64 i #s(literal 1/2 binary64)) #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 2 binary64) i) (pow.f64 i #s(literal -2 binary64)))) (fma.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 i i) (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) (-.f64 (/.f64 #s(literal 2 binary64) i) (pow.f64 i #s(literal -2 binary64)))) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 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))) (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 #s(literal -1/4 binary64) (*.f64 i i)) (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) i) #s(literal 1/2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (pow.f64 (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 i #s(literal 1/4 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 #s(literal -1/4 binary64) (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64))) (*.f64 i (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))))
(*.f64 (/.f64 (*.f64 i #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 (*.f64 i #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 (*.f64 (/.f64 i (*.f64 i #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 i (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (*.f64 i i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 (/.f64 i (*.f64 i #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 i #s(literal 3 binary64)) (/.f64 i (fma.f64 #s(literal -4 binary64) (*.f64 i i) (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))))))
(*.f64 (*.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) i) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 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 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) i))))
(*.f64 (*.f64 i #s(literal 1/4 binary64)) (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
(*.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 i i) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 2 binary64) i) (pow.f64 i #s(literal -2 binary64)))))
(*.f64 (*.f64 i #s(literal 1/2 binary64)) (/.f64 (*.f64 i #s(literal 1/2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
(*.f64 (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 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))))
(*.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 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 #s(literal -4 binary64) (*.f64 i i) (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)))))))
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))))
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1/4 binary64) (-.f64 (/.f64 #s(literal 2 binary64) i) (pow.f64 i #s(literal -2 binary64)))) (pow.f64 (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 i #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 i #s(literal 1/4 binary64)) (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 2 binary64) i) (pow.f64 i #s(literal -2 binary64)))) (pow.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (pow.f64 (*.f64 i #s(literal 1/2 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1/4 binary64) (-.f64 (/.f64 #s(literal 2 binary64) i) (pow.f64 i #s(literal -2 binary64)))) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
(*.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 i i) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))))
(*.f64 (*.f64 i i) (/.f64 (*.f64 (/.f64 i (*.f64 i #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
(*.f64 (*.f64 i i) (/.f64 (*.f64 i i) (fma.f64 #s(literal -4 binary64) (*.f64 i i) (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))))))
(*.f64 i (/.f64 (pow.f64 i #s(literal 3 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 i i) (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))))))
(*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 i (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 i i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
(pow.f64 (*.f64 (pow.f64 (*.f64 i #s(literal 1/2 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) (*.f64 #s(literal -4 binary64) (*.f64 i i)))
(/.f64 (neg.f64 (/.f64 (*.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) i) #s(literal 1/2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) (*.f64 i #s(literal -2 binary64)))
(/.f64 (neg.f64 (/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) (*.f64 #s(literal 4 binary64) (*.f64 i i)))
(/.f64 (neg.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) #s(literal -1 binary64))) (neg.f64 (pow.f64 (*.f64 i #s(literal 1/2 binary64)) #s(literal -2 binary64))))
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64)))) (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)))
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
(/.f64 (neg.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) i) (pow.f64 i #s(literal -2 binary64))) #s(literal 4 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) (-.f64 (/.f64 #s(literal 2 binary64) i) (pow.f64 i #s(literal -2 binary64)))) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64))))
(/.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))
(/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 i i)))
(/.f64 (/.f64 (*.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) i) #s(literal 1/2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) i))
(/.f64 (/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 i i)))
(/.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) i) (pow.f64 i #s(literal -2 binary64))))
(/.f64 (/.f64 (*.f64 i i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 i i)) (pow.f64 i #s(literal -2 binary64))))
(/.f64 (neg.f64 (*.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) i) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 i #s(literal -2 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (*.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) i) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) i))))
(/.f64 (*.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) i) #s(literal 1/2 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) i)))
(/.f64 (*.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) i) #s(literal 1/2 binary64)) (fma.f64 i #s(literal -2 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 3 binary64))))
(/.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 i #s(literal 1/2 binary64)) #s(literal -2 binary64)))
(/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) i) (pow.f64 i #s(literal -2 binary64))) #s(literal 4 binary64)))
(/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 i i))))
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(/.f64 (*.f64 i i) (neg.f64 i))
(neg.f64 i)
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 i i #s(literal 0 binary64))) (/.f64 (pow.f64 i #s(literal 3 binary64)) (fma.f64 i i #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) i) i)
(-.f64 #s(literal 0 binary64) i)
(+.f64 #s(literal 0 binary64) (neg.f64 i))

eval93.0ms (1.3%)

Memory
-13.7MiB live, 141.1MiB allocated
Compiler

Compiled 22 128 to 2 104 computations (90.5% saved)

prune35.0ms (0.5%)

Memory
4.5MiB live, 43.4MiB allocated
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New6883691
Fresh022
Picked145
Done000
Total6899698
Accuracy
100.0%
Counts
698 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.3%
(/.f64 (*.f64 #s(literal 1/2 binary64) i) (*.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
75.8%
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
76.4%
(*.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i))
49.9%
#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)))
50.6%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (*.f64 i i) i (*.f64 i #s(literal 1/4 binary64))) (neg.f64 i)))
50.6%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i)))
50.6%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
50.5%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
50.2%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Compiler

Compiled 352 to 186 computations (47.2% saved)

simplify128.0ms (1.8%)

Memory
21.6MiB live, 173.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
039247
063231
1150225
2498212
32185212
44430204
57771204
08317197
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i))
(/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))
i
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
#s(literal 4 binary64)
(*.f64 i i)
#s(literal -1 binary64)
(*.f64 #s(literal 1/4 binary64) i)
#s(literal 1/4 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i)))
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i))
(fma.f64 i i #s(literal 1/4 binary64))
i
#s(literal 1/4 binary64)
(*.f64 (neg.f64 i) i)
(neg.f64 i)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (*.f64 i i) i (*.f64 i #s(literal 1/4 binary64))) (neg.f64 i)))
(*.f64 (fma.f64 (*.f64 i i) i (*.f64 i #s(literal 1/4 binary64))) (neg.f64 i))
(fma.f64 (*.f64 i i) i (*.f64 i #s(literal 1/4 binary64)))
(*.f64 i i)
i
(*.f64 i #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(neg.f64 i)
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
#s(literal -1/4 binary64)
(*.f64 i i)
i
(*.f64 (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64))
#s(literal -2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))
#s(literal 2 binary64)
(/.f64 (*.f64 #s(literal 1/2 binary64) i) (*.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
(*.f64 #s(literal 1/2 binary64) i)
#s(literal 1/2 binary64)
i
(*.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))
(/.f64 #s(literal 2 binary64) i)
#s(literal 2 binary64)
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
#s(literal 4 binary64)
(*.f64 i i)
#s(literal -1 binary64)
Outputs
(*.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i))
(/.f64 (*.f64 i i) (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64)))
(/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))
(/.f64 i (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
i
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
#s(literal 4 binary64)
(*.f64 i i)
#s(literal -1 binary64)
(*.f64 #s(literal 1/4 binary64) i)
#s(literal 1/4 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (*.f64 i i)))
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i))
(*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (*.f64 i i))
(fma.f64 i i #s(literal 1/4 binary64))
i
#s(literal 1/4 binary64)
(*.f64 (neg.f64 i) i)
(neg.f64 i)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (*.f64 i i) i (*.f64 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 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (*.f64 i i)))
(*.f64 (fma.f64 (*.f64 i i) i (*.f64 i #s(literal 1/4 binary64))) (neg.f64 i))
(*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (*.f64 i i))
(fma.f64 (*.f64 i i) i (*.f64 i #s(literal 1/4 binary64)))
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)
(*.f64 i i)
i
(*.f64 i #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) i)
#s(literal 1/4 binary64)
(neg.f64 i)
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(*.f64 (*.f64 (/.f64 i (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))) #s(literal -1/4 binary64)) i)
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
#s(literal -1/4 binary64)
(*.f64 i i)
i
(*.f64 (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))
(fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64))
#s(literal -2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))
#s(literal 2 binary64)
(/.f64 (*.f64 #s(literal 1/2 binary64) i) (*.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
(/.f64 (*.f64 i i) (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64)))
(*.f64 #s(literal 1/2 binary64) i)
#s(literal 1/2 binary64)
i
(*.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal 8 binary64) (*.f64 i i) #s(literal -2 binary64)) i)
(/.f64 #s(literal 2 binary64) i)
#s(literal 2 binary64)
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
#s(literal 4 binary64)
(*.f64 i i)
#s(literal -1 binary64)

localize129.0ms (1.8%)

Memory
-23.1MiB live, 219.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 #s(literal 1/2 binary64) i)
accuracy0.01171875
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
accuracy0.078125
(/.f64 (*.f64 #s(literal 1/2 binary64) i) (*.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
accuracy14.452320373736391
(*.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))
accuracy0.0
(*.f64 i i)
accuracy0.0
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
accuracy0.0078125
(*.f64 (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
accuracy15.021063347142775
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
accuracy0.0
(neg.f64 i)
accuracy0.02734375
(fma.f64 (*.f64 i i) i (*.f64 i #s(literal 1/4 binary64)))
accuracy0.02734375
(*.f64 (fma.f64 (*.f64 i i) i (*.f64 i #s(literal 1/4 binary64))) (neg.f64 i))
accuracy31.617664462802566
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (*.f64 i i) i (*.f64 i #s(literal 1/4 binary64))) (neg.f64 i)))
accuracy0.0
(*.f64 (neg.f64 i) i)
accuracy0.0
(neg.f64 i)
accuracy0.046875
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i))
accuracy31.617664462802566
#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 #s(literal 1/4 binary64) i)
accuracy0.01171875
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
accuracy0.125
(*.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i))
accuracy14.42763267549294
(/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))
Samples
95.0ms256×0valid
Compiler

Compiled 243 to 41 computations (83.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-mult: 35.0ms (66.6% of total)
ival-div: 9.0ms (17.1% of total)
ival-add: 6.0ms (11.4% of total)
ival-sub: 1.0ms (1.9% of total)
exact: 1.0ms (1.9% of total)
ival-neg: 1.0ms (1.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.2%)

Memory
22.6MiB live, 22.6MiB allocated
Counts
20 → 44
Calls
Call 1
Inputs
(*.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i))
(/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(*.f64 i i)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i)))
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i))
(fma.f64 i i #s(literal 1/4 binary64))
(*.f64 (neg.f64 i) i)
(fma.f64 (*.f64 i i) i (*.f64 i #s(literal 1/4 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (*.f64 i i) i (*.f64 i #s(literal 1/4 binary64))) (neg.f64 i)))
(*.f64 (fma.f64 (*.f64 i i) i (*.f64 i #s(literal 1/4 binary64))) (neg.f64 i))
(*.f64 (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(/.f64 (*.f64 #s(literal 1/2 binary64) i) (*.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) i)
(/.f64 #s(literal 2 binary64) i)
(*.f64 #s(literal 1/4 binary64) i)
(neg.f64 i)
Outputs
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(* -1 i)
(* i (- (* -4 (pow i 2)) 1))
(* i (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1))
(* i (- (* (pow i 2) (- (* (pow i 2) (- (* -64 (pow i 2)) 16)) 4)) 1))
-1
(- (* 4 (pow i 2)) 1)
(pow i 2)
1/4
(+ 1/4 (pow i 2))
(* -1 (pow i 2))
(* 1/4 i)
(* i (+ 1/4 (pow i 2)))
1
(+ 1 (* -4 (pow i 2)))
(/ -2 i)
(/ (- (* 8 (pow i 2)) 2) i)
(* 1/2 i)
(/ 2 i)
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(/ 1/4 i)
(/ (+ 1/4 (* 1/16 (/ 1 (pow i 2)))) i)
(/ (+ 1/4 (+ (/ 1/64 (pow i 4)) (* 1/16 (/ 1 (pow i 2))))) i)
(/ (+ 1/4 (+ (/ 1/64 (pow i 4)) (+ (* 1/16 (/ 1 (pow i 2))) (* 1/256 (/ 1 (pow i 6)))))) i)
(* 4 (pow i 2))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(pow i 3)
(* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(* -4 (pow i 2))
(* (pow i 2) (- (/ 1 (pow i 2)) 4))
(* 8 i)
(* i (- 8 (* 2 (/ 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))
(* -1 (* i (- (* 2 (/ 1 (pow i 2))) 8)))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
i
@0
((* (/ i (+ (* 4 (* i i)) -1)) (* 1/4 i)) (/ i (+ (* 4 (* i i)) -1)) (+ (* 4 (* i i)) -1) (* i i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (+ (* i i) 1/4) (* (neg i) i)) (+ (* i i) 1/4) (* (neg i) i) (+ (* (* i i) i) (* i 1/4)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (+ (* (* i i) i) (* i 1/4)) (neg i)) (* (+ (* i -2) 1) (+ (* 2 i) 1)) (/ (* -1/4 (* i i)) (* (+ (* i -2) 1) (+ (* 2 i) 1))) (* -1/4 (* i i)) (/ (* 1/2 i) (* (/ 2 i) (+ (* 4 (* i i)) -1))) (* (/ 2 i) (+ (* 4 (* i i)) -1)) (* 1/2 i) (/ 2 i) (* 1/4 i) (neg i))
3.0ms
i
@inf
((* (/ i (+ (* 4 (* i i)) -1)) (* 1/4 i)) (/ i (+ (* 4 (* i i)) -1)) (+ (* 4 (* i i)) -1) (* i i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (+ (* i i) 1/4) (* (neg i) i)) (+ (* i i) 1/4) (* (neg i) i) (+ (* (* i i) i) (* i 1/4)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (+ (* (* i i) i) (* i 1/4)) (neg i)) (* (+ (* i -2) 1) (+ (* 2 i) 1)) (/ (* -1/4 (* i i)) (* (+ (* i -2) 1) (+ (* 2 i) 1))) (* -1/4 (* i i)) (/ (* 1/2 i) (* (/ 2 i) (+ (* 4 (* i i)) -1))) (* (/ 2 i) (+ (* 4 (* i i)) -1)) (* 1/2 i) (/ 2 i) (* 1/4 i) (neg i))
3.0ms
i
@-inf
((* (/ i (+ (* 4 (* i i)) -1)) (* 1/4 i)) (/ i (+ (* 4 (* i i)) -1)) (+ (* 4 (* i i)) -1) (* i i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (+ (* i i) 1/4) (* (neg i) i)) (+ (* i i) 1/4) (* (neg i) i) (+ (* (* i i) i) (* i 1/4)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (+ (* (* i i) i) (* i 1/4)) (neg i)) (* (+ (* i -2) 1) (+ (* 2 i) 1)) (/ (* -1/4 (* i i)) (* (+ (* i -2) 1) (+ (* 2 i) 1))) (* -1/4 (* i i)) (/ (* 1/2 i) (* (/ 2 i) (+ (* 4 (* i i)) -1))) (* (/ 2 i) (+ (* 4 (* i i)) -1)) (* 1/2 i) (/ 2 i) (* 1/4 i) (neg i))

simplify112.0ms (1.5%)

Memory
11.7MiB live, 128.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0116361
1278361
2706346
32039339
45694339
08196322
Stop Event
iter limit
node limit
Counts
44 → 44
Calls
Call 1
Inputs
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(* -1 i)
(* i (- (* -4 (pow i 2)) 1))
(* i (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1))
(* i (- (* (pow i 2) (- (* (pow i 2) (- (* -64 (pow i 2)) 16)) 4)) 1))
-1
(- (* 4 (pow i 2)) 1)
(pow i 2)
1/4
(+ 1/4 (pow i 2))
(* -1 (pow i 2))
(* 1/4 i)
(* i (+ 1/4 (pow i 2)))
1
(+ 1 (* -4 (pow i 2)))
(/ -2 i)
(/ (- (* 8 (pow i 2)) 2) i)
(* 1/2 i)
(/ 2 i)
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(/ 1/4 i)
(/ (+ 1/4 (* 1/16 (/ 1 (pow i 2)))) i)
(/ (+ 1/4 (+ (/ 1/64 (pow i 4)) (* 1/16 (/ 1 (pow i 2))))) i)
(/ (+ 1/4 (+ (/ 1/64 (pow i 4)) (+ (* 1/16 (/ 1 (pow i 2))) (* 1/256 (/ 1 (pow i 6)))))) i)
(* 4 (pow i 2))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(pow i 3)
(* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(* -4 (pow i 2))
(* (pow i 2) (- (/ 1 (pow i 2)) 4))
(* 8 i)
(* i (- 8 (* 2 (/ 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))
(* -1 (* i (- (* 2 (/ 1 (pow i 2))) 8)))
Outputs
(* -1/4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal -1/4 binary64))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(*.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -4 binary64) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 i i))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(*.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal -4 binary64)) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 i i))
(* -1 i)
(neg.f64 i)
(* i (- (* -4 (pow i 2)) 1))
(fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal -4 binary64) (neg.f64 i))
(* i (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1))
(fma.f64 (pow.f64 i #s(literal 3 binary64)) (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal -4 binary64)) (neg.f64 i))
(* i (- (* (pow i 2) (- (* (pow i 2) (- (* -64 (pow i 2)) 16)) 4)) 1))
(fma.f64 (pow.f64 i #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -64 binary64) (*.f64 i i) #s(literal -16 binary64)) (*.f64 i i) #s(literal -4 binary64)) (neg.f64 i))
-1
#s(literal -1 binary64)
(- (* 4 (pow i 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(pow i 2)
(*.f64 i i)
1/4
#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)
(* 1/4 i)
(*.f64 #s(literal 1/4 binary64) i)
(* i (+ 1/4 (pow i 2)))
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)
1
#s(literal 1 binary64)
(+ 1 (* -4 (pow i 2)))
(fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))
(/ -2 i)
(/.f64 #s(literal -2 binary64) i)
(/ (- (* 8 (pow i 2)) 2) i)
(fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))
(* 1/2 i)
(*.f64 #s(literal 1/2 binary64) i)
(/ 2 i)
(/.f64 #s(literal 2 binary64) i)
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(/ 1/4 i)
(/.f64 #s(literal 1/4 binary64) i)
(/ (+ 1/4 (* 1/16 (/ 1 (pow i 2)))) i)
(/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 i i)) #s(literal -1/4 binary64)) i)
(/ (+ 1/4 (+ (/ 1/64 (pow i 4)) (* 1/16 (/ 1 (pow i 2))))) i)
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal -1/16 binary64) (*.f64 i i))) i)
(/ (+ 1/4 (+ (/ 1/64 (pow i 4)) (+ (* 1/16 (/ 1 (pow i 2))) (* 1/256 (/ 1 (pow i 6)))))) i)
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/4 binary64)) (-.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 6 binary64))) (/.f64 #s(literal -1/16 binary64) (*.f64 i i)))) i)
(* 4 (pow i 2))
(*.f64 #s(literal 4 binary64) (*.f64 i i))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(* -1 (pow i 4))
(neg.f64 (pow.f64 i #s(literal 4 binary64)))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)
(* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(fma.f64 i i #s(literal 1/4 binary64))
(pow i 3)
(pow.f64 i #s(literal 3 binary64))
(* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)
(* -4 (pow i 2))
(*.f64 #s(literal -4 binary64) (*.f64 i i))
(* (pow i 2) (- (/ 1 (pow i 2)) 4))
(fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))
(* 8 i)
(*.f64 #s(literal 8 binary64) i)
(* i (- 8 (* 2 (/ 1 (pow i 2)))))
(fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (pow i 2))) 1/4) i))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) (pow.f64 i #s(literal 3 binary64))) (/.f64 #s(literal -1/4 binary64) i))
(* -1 (/ (- (* -1 (/ (+ 1/64 (* 1/256 (/ 1 (pow i 2)))) (pow i 4))) (+ 1/4 (* 1/16 (/ 1 (pow i 2))))) i))
(-.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (*.f64 i i)) #s(literal 1/64 binary64)) (pow.f64 i #s(literal 5 binary64))) (/.f64 #s(literal -1/16 binary64) (pow.f64 i #s(literal 3 binary64)))) (/.f64 #s(literal -1/4 binary64) i))
(* -1 (* i (- (* 2 (/ 1 (pow i 2))) 8)))
(fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))

rewrite158.0ms (2.2%)

Memory
2.8MiB live, 238.1MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
039201
063180
1270175
22215149
08565149
Stop Event
iter limit
node limit
iter limit
Counts
20 → 1 212
Calls
Call 1
Inputs
(*.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i))
(/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(*.f64 i i)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i)))
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i))
(fma.f64 i i #s(literal 1/4 binary64))
(*.f64 (neg.f64 i) i)
(fma.f64 (*.f64 i i) i (*.f64 i #s(literal 1/4 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (*.f64 i i) i (*.f64 i #s(literal 1/4 binary64))) (neg.f64 i)))
(*.f64 (fma.f64 (*.f64 i i) i (*.f64 i #s(literal 1/4 binary64))) (neg.f64 i))
(*.f64 (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(/.f64 (*.f64 #s(literal 1/2 binary64) i) (*.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) i)
(/.f64 #s(literal 2 binary64) i)
(*.f64 #s(literal 1/4 binary64) i)
(neg.f64 i)
Outputs
(*.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) i) (pow.f64 i #s(literal -4 binary64)))) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) (neg.f64 (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)) (*.f64 (/.f64 (*.f64 i i) i) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 i i) i) #s(literal 1/2 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)) (*.f64 (*.f64 i i) #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) i) i) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) i) i) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) i) i) (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) i) i) (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 i i)))))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) i) (/.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))) i)
(*.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) i) i) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))) (*.f64 i (*.f64 #s(literal 1/2 binary64) i)))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) i) i) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) i) #s(literal -2 binary64)))
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) i) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -1 binary64)))
(*.f64 (*.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) i) #s(literal 1 binary64)) (/.f64 i (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))
(*.f64 (*.f64 (/.f64 i (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) i) #s(literal 1/4 binary64))
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) i) (neg.f64 i)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (neg.f64 i) (*.f64 #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 (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 (*.f64 (/.f64 (*.f64 i i) i) #s(literal 1/2 binary64)) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64))) (/.f64 (*.f64 (/.f64 (*.f64 i i) i) #s(literal 1/2 binary64)) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64))) (/.f64 (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 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (*.f64 i (pow.f64 (*.f64 #s(literal -2 binary64) i) #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64)))) #s(literal 1/4 binary64))
(*.f64 (*.f64 i (*.f64 #s(literal 1/2 binary64) i)) (/.f64 #s(literal -1/2 binary64) (fma.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))) (/.f64 (*.f64 #s(literal 1/4 binary64) i) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64))))
(*.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) i)) (*.f64 #s(literal 1/2 binary64) (/.f64 i (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))))
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) i) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) i) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))))
(*.f64 (*.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))))
(*.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) i) #s(literal -2 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 i (fma.f64 (*.f64 i i) #s(literal 4 binary64) #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) (*.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) i))))
(*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 i (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))) i)
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 i (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) i))
(*.f64 (pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))
(*.f64 (*.f64 #s(literal 1/2 binary64) i) (*.f64 #s(literal 1/2 binary64) (/.f64 i (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) i) i) (pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 (*.f64 i i) i) #s(literal 1/2 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 i i) i) #s(literal 1/2 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 i i))))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)) (neg.f64 i)) (*.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) i)) (*.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)) i) (*.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64))) (neg.f64 i)) (*.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 i i)))) (neg.f64 i)) (*.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) i)) (*.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) (/.f64 (*.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 i i)))) (*.f64 #s(literal 1/2 binary64) i)) (*.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) (/.f64 (*.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64))) i) (*.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 i i)))) i) (*.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 i (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 i (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) i))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 i (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))))
(fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 i i) #s(literal 4 binary64))) (pow.f64 (neg.f64 i) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) i))
(fma.f64 (*.f64 (*.f64 (*.f64 i i) #s(literal 4 binary64)) #s(literal -2 binary64)) (pow.f64 (neg.f64 i) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) i))
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 4 binary64) i)) i (/.f64 #s(literal -2 binary64) i))
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) (*.f64 #s(literal 2 binary64) i) (/.f64 #s(literal -2 binary64) i))
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) i) (*.f64 i i)) #s(literal 4 binary64) (/.f64 #s(literal -2 binary64) i))
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) i) #s(literal 4 binary64)) (*.f64 i i) (/.f64 #s(literal -2 binary64) i))
(fma.f64 (*.f64 (*.f64 (*.f64 i i) #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 i #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) i))
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 i i) #s(literal 4 binary64))) (pow.f64 i #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) i))
(fma.f64 (/.f64 #s(literal 4 binary64) i) (*.f64 (*.f64 #s(literal 2 binary64) i) i) (/.f64 #s(literal -2 binary64) i))
(fma.f64 (*.f64 #s(literal 4 binary64) i) (*.f64 i (/.f64 #s(literal 2 binary64) i)) (/.f64 #s(literal -2 binary64) i))
(fma.f64 (/.f64 #s(literal 2 binary64) i) (*.f64 (*.f64 i i) #s(literal 4 binary64)) (/.f64 #s(literal -2 binary64) i))
(fma.f64 (/.f64 #s(literal 2 binary64) i) #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) i) #s(literal 4 binary64)) (*.f64 i i)))
(fma.f64 #s(literal -2 binary64) (pow.f64 i #s(literal -1 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) i) #s(literal 4 binary64)) (*.f64 i i)))
(fma.f64 (*.f64 (*.f64 i i) #s(literal 4 binary64)) (/.f64 #s(literal 2 binary64) i) (/.f64 #s(literal -2 binary64) i))
(fma.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 (*.f64 #s(literal 2 binary64) i) (/.f64 #s(literal 2 binary64) i)) (/.f64 #s(literal -2 binary64) i))
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) i) (/.f64 #s(literal 2 binary64) i)) (/.f64 #s(literal -2 binary64) i))
(fma.f64 #s(literal 2 binary64) (*.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) i) #s(literal 4 binary64)) (*.f64 i i)))
(fma.f64 #s(literal 2 binary64) (*.f64 (pow.f64 i #s(literal -1 binary64)) (*.f64 (*.f64 i i) #s(literal 4 binary64))) (/.f64 #s(literal -2 binary64) i))
(fma.f64 #s(literal 2 binary64) (pow.f64 (neg.f64 i) #s(literal -1 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) i) #s(literal 4 binary64)) (*.f64 i i)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) i) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) i) #s(literal 4 binary64)) (*.f64 i i)))
(fma.f64 (*.f64 i i) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) i)) (/.f64 #s(literal -2 binary64) i))
(fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 i i) (/.f64 #s(literal 2 binary64) i)) (/.f64 #s(literal -2 binary64) i))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) i) #s(literal 4 binary64)) (*.f64 i i)) #s(literal 2 binary64)) (/.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) i))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) (/.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) i))))
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) i)) (/.f64 (pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) i)))
(-.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 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) i)) (/.f64 (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) i)))
(-.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) i) #s(literal 4 binary64)) (*.f64 i i)) (/.f64 #s(literal 2 binary64) i))
(+.f64 (/.f64 #s(literal -2 binary64) i) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) i) #s(literal 4 binary64)) (*.f64 i i)))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) i) #s(literal 4 binary64)) (*.f64 i i)) (/.f64 #s(literal -2 binary64) i))
(*.f64 (*.f64 #s(literal 1/2 binary64) i) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) i)
(*.f64 (neg.f64 i) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) i))
(*.f64 i #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) i) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) i) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 i)) #s(literal 2 binary64))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (pow.f64 i #s(literal -1 binary64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) i) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal -1 binary64))
(/.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -1 binary64)))
(/.f64 (neg.f64 i) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) i))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) i))
(/.f64 i #s(literal 2 binary64))
(-.f64 #s(literal 0 binary64) (/.f64 i #s(literal -2 binary64)))
(*.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) (pow.f64 (neg.f64 i) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) i))
(*.f64 #s(literal 2 binary64) (pow.f64 i #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) i))
(pow.f64 (*.f64 #s(literal 1/2 binary64) i) #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (neg.f64 i))))
(/.f64 #s(literal -2 binary64) (neg.f64 i))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal -1/2 binary64) i)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) i))
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 i)))
(/.f64 #s(literal 2 binary64) i)
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) i))
(neg.f64 (/.f64 #s(literal -2 binary64) i))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) i)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) i)))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) i))
(*.f64 #s(literal -1/4 binary64) (neg.f64 i))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) i))
(*.f64 #s(literal 1/4 binary64) i)
(*.f64 i #s(literal 1/4 binary64))
(pow.f64 (/.f64 #s(literal 4 binary64) i) #s(literal -1 binary64))
(/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) i))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) i))
(/.f64 #s(literal -1/4 binary64) (neg.f64 (pow.f64 i #s(literal -1 binary64))))
(/.f64 (neg.f64 i) #s(literal -4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) i) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) i))
(/.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 4 binary64) i)))
(/.f64 i #s(literal 4 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 i #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 i i (*.f64 #s(literal 0 binary64) i)))))
(*.f64 (*.f64 (neg.f64 i) i) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) i)))
(*.f64 #s(literal -1 binary64) i)
(*.f64 i #s(literal -1 binary64))
(/.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 (-.f64 #s(literal 0 binary64) (pow.f64 i #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 i i (*.f64 #s(literal 0 binary64) i)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 i) i)) (neg.f64 (+.f64 #s(literal 0 binary64) i)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 i #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 i i (*.f64 #s(literal 0 binary64) i))))
(/.f64 (*.f64 (neg.f64 i) i) (+.f64 #s(literal 0 binary64) i))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 i i (*.f64 #s(literal 0 binary64) i))) (-.f64 #s(literal 0 binary64) (pow.f64 i #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) i) (*.f64 (neg.f64 i) i)))
(neg.f64 i)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 i i (*.f64 #s(literal 0 binary64) i)))) (/.f64 (pow.f64 i #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 i i (*.f64 #s(literal 0 binary64) i)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) i)) (/.f64 (*.f64 i i) (+.f64 #s(literal 0 binary64) i)))
(-.f64 #s(literal 0 binary64) i)
(+.f64 #s(literal 0 binary64) (neg.f64 i))

eval283.0ms (3.9%)

Memory
-19.3MiB live, 221.9MiB allocated
Compiler

Compiled 33 405 to 3 474 computations (89.6% saved)

prune33.0ms (0.5%)

Memory
11.8MiB live, 50.5MiB allocated
Pruning

9 alts after pruning (2 fresh and 7 done)

PrunedKeptTotal
New1 14221 144
Fresh000
Picked235
Done044
Total1 14491 153
Accuracy
100.0%
Counts
1 153 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(/.f64 (*.f64 #s(literal 1/2 binary64) i) #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))))
75.8%
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
76.4%
(*.f64 (/.f64 i (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i))
49.9%
#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)))
50.6%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (*.f64 i i) i (*.f64 i #s(literal 1/4 binary64))) (neg.f64 i)))
50.6%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i)))
50.6%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
50.5%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
50.2%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Compiler

Compiled 247 to 128 computations (48.2% saved)

simplify135.0ms (1.9%)

Memory
6.9MiB live, 80.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))
cost-diff0
#s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)))
cost-diff0
(*.f64 #s(literal 1/2 binary64) i)
cost-diff0
(/.f64 (*.f64 #s(literal 1/2 binary64) i) #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))))
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: 4 (0.0ms)

IterNodesCost
02392
03490
16190
211188
316888
422582
533682
658382
7172682
8339382
9445082
10635682
11723282
12750282
13781582
0851282
Stop Event
iter limit
node limit
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)
(/.f64 (*.f64 #s(literal 1/2 binary64) i) #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))))
(*.f64 #s(literal 1/2 binary64) i)
#s(literal 1/2 binary64)
i
#s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)))
(fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))
#s(literal 8 binary64)
(/.f64 #s(literal -2 binary64) i)
#s(literal -2 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 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (*.f64 i i))
(/.f64 i (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
(/.f64 i (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
i
(fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #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)
(/.f64 (*.f64 #s(literal 1/2 binary64) i) #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))))
(*.f64 #s(literal 1/2 binary64) i)
#s(literal 1/2 binary64)
i
#s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)))
(fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))
#s(literal 8 binary64)
(/.f64 #s(literal -2 binary64) i)
#s(literal -2 binary64)

localize100.0ms (1.4%)

Memory
-3.3MiB live, 45.3MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 #s(literal 1/2 binary64) i)
accuracy0.0
#s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)))
accuracy0.01857377930532605
(fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))
accuracy0.078125
(/.f64 (*.f64 #s(literal 1/2 binary64) i) #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))))
accuracy0.0
(*.f64 #s(literal 4 binary64) i)
accuracy0.0
(*.f64 #s(literal 1/4 binary64) i)
accuracy0.125
(*.f64 (/.f64 i (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i))
accuracy14.42763267549294
(/.f64 i (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
Samples
77.0ms256×0valid
Compiler

Compiled 84 to 26 computations (69% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-mult: 56.0ms (83.4% of total)
ival-div: 6.0ms (8.9% of total)
ival-add: 3.0ms (4.5% of total)
exact: 1.0ms (1.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
4.6MiB live, 4.6MiB allocated
Counts
9 → 30
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 (*.f64 #s(literal 1/2 binary64) i) #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))))
(*.f64 #s(literal 1/2 binary64) i)
#s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)))
(fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 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)
(* 1/2 i)
(/ -2 i)
(/ (- (* 8 (pow i 2)) 2) 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))))
(* 8 i)
(* i (- 8 (* 2 (/ 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))
(* -1 (* i (- (* 2 (/ 1 (pow i 2))) 8)))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
i
@-inf
((* (/ i (+ (* (* 4 i) i) -1)) (* 1/4 i)) (/ i (+ (* (* 4 i) i) -1)) (+ (* (* 4 i) i) -1) (* 4 i) (/ (* 1/2 i) (* (/ 2 i) (+ (* 4 (* i i)) -1))) (* 1/2 i) (* (/ 2 i) (+ (* 4 (* i i)) -1)) (+ (* 8 i) (/ -2 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) (/ (* 1/2 i) (* (/ 2 i) (+ (* 4 (* i i)) -1))) (* 1/2 i) (* (/ 2 i) (+ (* 4 (* i i)) -1)) (+ (* 8 i) (/ -2 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) (/ (* 1/2 i) (* (/ 2 i) (+ (* 4 (* i i)) -1))) (* 1/2 i) (* (/ 2 i) (+ (* 4 (* i i)) -1)) (+ (* 8 i) (/ -2 i)) (* 1/4 i))

simplify134.0ms (1.8%)

Memory
0.1MiB live, 106.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0102290
1227290
2546277
31372271
43249271
56650271
08068260
Stop Event
iter limit
node limit
Counts
30 → 30
Calls
Call 1
Inputs
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(* -1 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)
(* 1/2 i)
(/ -2 i)
(/ (- (* 8 (pow i 2)) 2) 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))))
(* 8 i)
(* i (- 8 (* 2 (/ 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))
(* -1 (* i (- (* 2 (/ 1 (pow i 2))) 8)))
Outputs
(* -1/4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal -1/4 binary64))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(*.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -4 binary64) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 i i))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(*.f64 (fma.f64 (pow.f64 i #s(literal 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 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
(* 4 i)
(*.f64 #s(literal 4 binary64) i)
(* 1/2 i)
(*.f64 #s(literal 1/2 binary64) i)
(/ -2 i)
(/.f64 #s(literal -2 binary64) i)
(/ (- (* 8 (pow i 2)) 2) i)
(fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 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 (*.f64 i i) #s(literal 4 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
(* 8 i)
(*.f64 #s(literal 8 binary64) i)
(* i (- 8 (* 2 (/ 1 (pow i 2)))))
(fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))
(* -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)
(* -1 (* i (- (* 2 (/ 1 (pow i 2))) 8)))
(fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))

rewrite263.0ms (3.6%)

Memory
-11.3MiB live, 147.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02381
03479
112679
278177
3759477
0823375
Stop Event
iter limit
node limit
iter limit
Counts
9 → 392
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 (*.f64 #s(literal 1/2 binary64) i) #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))))
(*.f64 #s(literal 1/2 binary64) i)
#s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)))
(fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))
(*.f64 #s(literal 1/4 binary64) i)
Outputs
(*.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 #s(literal -4 binary64) (*.f64 i i) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal -1/4 binary64)) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #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 i i) #s(literal 4 binary64))))
(*.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 #s(literal -4 binary64) (*.f64 i i) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (neg.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) i) (fma.f64 #s(literal -4 binary64) (*.f64 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 #s(literal -4 binary64) (*.f64 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 i i) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 i i) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 64 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 i i) #s(literal 4 binary64) #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 i i) #s(literal 4 binary64) #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 (pow.f64 i #s(literal 6 binary64)) #s(literal 64 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 i i) #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) i) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64))) (fma.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64)) i (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 4 binary64) i)))
(*.f64 (/.f64 i (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 1/4 binary64) i)))
(*.f64 (/.f64 i (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) i) (pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 i (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 1/4 binary64) i)))
(*.f64 (/.f64 i (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) i) (pow.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))))
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(/.f64 (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) (*.f64 #s(literal -64 binary64) (*.f64 i i))) (-.f64 (/.f64 #s(literal -2 binary64) i) (*.f64 #s(literal 8 binary64) i)))
(/.f64 (-.f64 (*.f64 #s(literal 262144 binary64) (pow.f64 i #s(literal 6 binary64))) (pow.f64 (/.f64 #s(literal -2 binary64) i) #s(literal 6 binary64))) (*.f64 (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal 2 binary64) i)) (+.f64 (fma.f64 #s(literal 4096 binary64) (pow.f64 i #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal -2 binary64) i) #s(literal 4 binary64))) (pow.f64 (*.f64 #s(literal -16 binary64) (/.f64 i i)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 262144 binary64) (pow.f64 i #s(literal 6 binary64))) (pow.f64 (/.f64 #s(literal -2 binary64) i) #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 64 binary64) i) i (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) i) (*.f64 i #s(literal -16 binary64))) i)) (fma.f64 #s(literal 512 binary64) (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 i #s(literal -3 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -2 binary64) i) #s(literal 9 binary64)) (pow.f64 (*.f64 #s(literal 8 binary64) i) #s(literal 9 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 64 binary64) i) i (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) i) (*.f64 i #s(literal -16 binary64))) i)) (fma.f64 #s(literal 262144 binary64) (pow.f64 i #s(literal 6 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal -2 binary64) i) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -16 binary64) (/.f64 i i)) #s(literal 3 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 64 binary64) i) i (/.f64 #s(literal -4 binary64) (*.f64 i i)))) (fma.f64 #s(literal -8 binary64) i (/.f64 #s(literal -2 binary64) i)))
(/.f64 (neg.f64 (fma.f64 #s(literal 512 binary64) (pow.f64 i #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -2 binary64) i) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 64 binary64) i) i (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) i) (*.f64 i #s(literal -16 binary64))) i))))
(/.f64 (fma.f64 (*.f64 #s(literal 64 binary64) i) i (/.f64 #s(literal -4 binary64) (*.f64 i i))) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal 2 binary64) i)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) i) (*.f64 #s(literal 8 binary64) i)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64) (*.f64 #s(literal -64 binary64) (*.f64 i i)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))))
(/.f64 (fma.f64 #s(literal 512 binary64) (pow.f64 i #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -2 binary64) i) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 64 binary64) i) i (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) i) (*.f64 i #s(literal -16 binary64))) i)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 64 binary64) i) i (/.f64 #s(literal -4 binary64) (*.f64 i i)))) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal 2 binary64) i))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 512 binary64) (pow.f64 i #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -2 binary64) i) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 64 binary64) i) i (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) i) (*.f64 i #s(literal -16 binary64))) i))))
(neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 64 binary64) i) i (/.f64 #s(literal -4 binary64) (*.f64 i i))) (fma.f64 #s(literal -8 binary64) i (/.f64 #s(literal -2 binary64) i))))
(neg.f64 (/.f64 (fma.f64 #s(literal 512 binary64) (pow.f64 i #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -2 binary64) i) #s(literal 3 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 64 binary64) i) i (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) i) (*.f64 i #s(literal -16 binary64))) i)))))
(fma.f64 (/.f64 (*.f64 #s(literal 64 binary64) (*.f64 i i)) (fma.f64 #s(literal 512 binary64) (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 i #s(literal -3 binary64))))) (fma.f64 (*.f64 #s(literal 64 binary64) i) i (*.f64 (/.f64 #s(literal -2 binary64) i) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)))) (neg.f64 (/.f64 (/.f64 #s(literal 4 binary64) i) (*.f64 (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal 2 binary64) i)) i))))
(fma.f64 (/.f64 (*.f64 #s(literal 64 binary64) (*.f64 i i)) (fma.f64 (*.f64 #s(literal 64 binary64) i) i (/.f64 #s(literal -4 binary64) (*.f64 i i)))) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)) (neg.f64 (/.f64 (/.f64 #s(literal 4 binary64) i) (*.f64 (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal 2 binary64) i)) i))))
(fma.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal -1/2 binary64)) (*.f64 #s(literal 8 binary64) i))
(fma.f64 (*.f64 #s(literal 64 binary64) i) (/.f64 i (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal 2 binary64) i))) (neg.f64 (/.f64 (/.f64 #s(literal 4 binary64) i) (*.f64 (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal 2 binary64) i)) i))))
(fma.f64 (*.f64 (*.f64 #s(literal 8 binary64) i) i) (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal 2 binary64) i))) (neg.f64 (/.f64 (/.f64 #s(literal 4 binary64) i) (*.f64 (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal 2 binary64) i)) i))))
(fma.f64 (/.f64 #s(literal -1 binary64) i) #s(literal 2 binary64) (*.f64 #s(literal 8 binary64) i))
(fma.f64 #s(literal 64 binary64) (/.f64 (*.f64 i i) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal 2 binary64) i))) (neg.f64 (/.f64 (/.f64 #s(literal 4 binary64) i) (*.f64 (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal 2 binary64) i)) i))))
(fma.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal -2 binary64) (*.f64 #s(literal 8 binary64) i))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) i) (/.f64 #s(literal -2 binary64) i))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) i) (*.f64 #s(literal 8 binary64) i))
(fma.f64 (*.f64 #s(literal 64 binary64) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal 2 binary64) i)) #s(literal -1 binary64)) (neg.f64 (/.f64 (/.f64 #s(literal 4 binary64) i) (*.f64 (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal 2 binary64) i)) i))))
(fma.f64 (*.f64 #s(literal 8 binary64) i) (/.f64 (*.f64 #s(literal 8 binary64) i) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal 2 binary64) i))) (neg.f64 (/.f64 (/.f64 #s(literal 4 binary64) i) (*.f64 (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal 2 binary64) i)) i))))
(fma.f64 (*.f64 #s(literal 8 binary64) i) #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) i))
(fma.f64 (/.f64 #s(literal -2 binary64) i) #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) i))
(fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) i) #s(literal -1 binary64)) (*.f64 #s(literal 8 binary64) i))
(fma.f64 #s(literal -2 binary64) (pow.f64 i #s(literal -1 binary64)) (*.f64 #s(literal 8 binary64) i))
(fma.f64 #s(literal 8 binary64) (/.f64 (*.f64 (*.f64 #s(literal 8 binary64) i) i) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal 2 binary64) i))) (neg.f64 (/.f64 (/.f64 #s(literal 4 binary64) i) (*.f64 (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal 2 binary64) i)) i))))
(fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))
(fma.f64 (*.f64 i i) (/.f64 #s(literal 64 binary64) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal 2 binary64) i))) (neg.f64 (/.f64 (/.f64 #s(literal 4 binary64) i) (*.f64 (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal 2 binary64) i)) i))))
(fma.f64 (/.f64 #s(literal 2 binary64) i) #s(literal -1 binary64) (*.f64 #s(literal 8 binary64) i))
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) i) #s(literal 1 binary64)) (*.f64 #s(literal 8 binary64) i))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) i) (*.f64 #s(literal 8 binary64) i))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 8 binary64) i))
(fma.f64 i (/.f64 (*.f64 #s(literal 64 binary64) i) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal 2 binary64) i))) (neg.f64 (/.f64 (/.f64 #s(literal 4 binary64) i) (*.f64 (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal 2 binary64) i)) i))))
(fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal -2 binary64) i) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal -2 binary64) i) (*.f64 #s(literal 8 binary64) i))) (/.f64 (*.f64 #s(literal 64 binary64) (*.f64 i i)) (-.f64 (/.f64 #s(literal -2 binary64) i) (*.f64 #s(literal 8 binary64) i))))
(-.f64 (*.f64 (*.f64 #s(literal 64 binary64) i) (/.f64 i (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal 2 binary64) i)))) (/.f64 (/.f64 #s(literal 4 binary64) i) (*.f64 (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal 2 binary64) i)) i)))
(-.f64 (*.f64 #s(literal 8 binary64) i) (/.f64 #s(literal 2 binary64) i))
(+.f64 (*.f64 (*.f64 #s(literal 64 binary64) i) (/.f64 i (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal 2 binary64) i)))) (neg.f64 (/.f64 (/.f64 #s(literal 4 binary64) i) (*.f64 (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal 2 binary64) i)) i))))
(+.f64 (*.f64 #s(literal 8 binary64) i) (/.f64 #s(literal -2 binary64) i))
(+.f64 (/.f64 #s(literal -2 binary64) i) (*.f64 #s(literal 8 binary64) i))
(*.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))

eval104.0ms (1.4%)

Memory
-4.8MiB live, 92.2MiB allocated
Compiler

Compiled 10 952 to 1 351 computations (87.7% saved)

prune20.0ms (0.3%)

Memory
-8.7MiB live, 29.8MiB allocated
Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New4161417
Fresh000
Picked112
Done167
Total4188426
Accuracy
100.0%
Counts
426 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.8%
(/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
99.9%
(/.f64 (*.f64 #s(literal 1/2 binary64) i) #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))))
49.9%
#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)))
50.6%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (*.f64 i i) i (*.f64 i #s(literal 1/4 binary64))) (neg.f64 i)))
50.6%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i)))
50.6%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
50.5%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
50.2%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Compiler

Compiled 557 to 195 computations (65% saved)

regimes9.0ms (0.1%)

Memory
16.4MiB live, 16.4MiB allocated
Counts
14 → 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 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (*.f64 i i) i (*.f64 i #s(literal 1/4 binary64))) (neg.f64 i)))
(*.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i))
(*.f64 (/.f64 i (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i))
(/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) i) #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) i) (*.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
(/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Outputs
(/.f64 (*.f64 #s(literal 1/2 binary64) i) #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))))
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
99.9%1i
99.9%1(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Compiler

Compiled 26 to 11 computations (57.7% saved)

regimes30.0ms (0.4%)

Memory
-23.8MiB live, 12.5MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (*.f64 i i) i (*.f64 i #s(literal 1/4 binary64))) (neg.f64 i)))
(*.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i))
(*.f64 (/.f64 i (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i))
(/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
Outputs
(/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (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:

27.0ms
i
3.0ms
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
100.0%2i
76.4%1(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Compiler

Compiled 26 to 11 computations (57.7% saved)

regimes3.0ms (0%)

Memory
7.1MiB live, 7.1MiB 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 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (*.f64 i i) i (*.f64 i #s(literal 1/4 binary64))) (neg.f64 i)))
(*.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i))
(*.f64 (/.f64 i (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i))
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
6.7MiB live, 6.7MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (*.f64 i i) i (*.f64 i #s(literal 1/4 binary64))) (neg.f64 i)))
(*.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i))
Outputs
(*.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Calls

1 calls:

3.0ms
i
Results
AccuracySegmentsBranch
100.0%2i
Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0%)

Memory
6.8MiB live, 6.8MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (*.f64 i i) i (*.f64 i #s(literal 1/4 binary64))) (neg.f64 i)))
Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (*.f64 i i) i (*.f64 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)))
Calls

1 calls:

2.0ms
i
Results
AccuracySegmentsBranch
99.3%2i
Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0%)

Memory
6.2MiB live, 6.2MiB 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 (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 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
Calls

1 calls:

2.0ms
i
Results
AccuracySegmentsBranch
99.3%2i
Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory
4.9MiB live, 4.9MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i)))
Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Calls

1 calls:

2.0ms
i
Results
AccuracySegmentsBranch
99.1%2i
Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory
3.6MiB live, 3.6MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Calls

1 calls:

2.0ms
i
Results
AccuracySegmentsBranch
99.1%2i
Compiler

Compiled 1 to 1 computations (0% saved)

regimes31.0ms (0.4%)

Memory
-45.6MiB live, 3.0MiB 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:

30.0ms
i
Results
AccuracySegmentsBranch
98.9%2i
Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0%)

Memory
3.7MiB live, 3.7MiB 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
50.2%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)))
50.2%1i
Compiler

Compiled 26 to 11 computations (57.7% saved)

bsearch2.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
2.0ms
50838.33510870118
3163788042734.112
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)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
0.0ms
50838.33510870118
3163788042734.112
Compiler

Compiled 67 to 37 computations (44.8% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
0.0ms
50838.33510870118
3163788042734.112
Compiler

Compiled 67 to 37 computations (44.8% saved)

bsearch13.0ms (0.2%)

Memory
11.7MiB live, 11.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
0.4935194723797893
120.46969277125113
Samples
6.0ms112×0valid
Compiler

Compiled 518 to 259 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (47% of total)
ival-sub: 1.0ms (23.5% of total)
ival-div: 1.0ms (23.5% 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
1.3MiB live, 1.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.4935194723797893
120.46969277125113
Compiler

Compiled 504 to 252 computations (50% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.4935194723797893
120.46969277125113
Compiler

Compiled 462 to 224 computations (51.5% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.4935194723797893
120.46969277125113
Compiler

Compiled 462 to 224 computations (51.5% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.4935194723797893
120.46969277125113
Compiler

Compiled 434 to 210 computations (51.6% saved)

simplify63.0ms (0.9%)

Memory
-10.9MiB live, 27.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
068518
1115490
2312434
31277406
42780392
55102378
67996378
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal 1/2 binary64) i) #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))))
(if (<=.f64 i #s(literal 100000 binary64)) (/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (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 100000 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 100000 binary64)) (*.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (*.f64 i i) i (*.f64 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))))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Outputs
(/.f64 (*.f64 #s(literal 1/2 binary64) i) #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))))
(if (<=.f64 i #s(literal 100000 binary64)) (/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (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 100000 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 100000 binary64)) (*.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (*.f64 i i) i (*.f64 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))))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

soundness1.6s (21.9%)

Memory
-6.5MiB live, 922.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032197
045173
1188163
21521146
08638139
049123
194123
2218122
3510118
41090118
52132118
64138118
76263118
08099113
0116361
1278361
2706346
32039339
45694339
08196322
039201
063180
1270175
22215149
08565149
01063
01747
17541
265329
0877227
02381
03479
112679
278177
3759477
0823375
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 782 to 221 computations (71.7% saved)

preprocess66.0ms (0.9%)

Memory
27.7MiB live, 64.4MiB allocated
Remove

(abs i)

Compiler

Compiled 1 172 to 206 computations (82.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...