Octave 3.8, jcobi/4, as called

Time bar (total: 5.3s)

start0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated

analyze3.0ms (0.1%)

Memory
6.2MiB live, 6.2MiB allocated
Algorithm
1×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)

sample1.2s (22%)

Memory
-8.2MiB live, 1 079.8MiB allocated
Samples
858.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 643.0ms
ival-mult: 315.0ms (49% of total)
ival-div: 146.0ms (22.7% of total)
ival->: 96.0ms (14.9% of total)
ival-sub: 67.0ms (10.4% of total)
exact: 15.0ms (2.3% of total)
ival-assert: 4.0ms (0.6% of total)
Bogosity

explain153.0ms (2.9%)

Memory
30.5MiB live, 307.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1920-0-(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
790-0-(/.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/o790
↳(*.f64 (*.f64 i i) (*.f64 i i))overflow109
↳(*.f64 i i)overflow158
↳(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))overflow79
/.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/o790
↳(*.f64 (*.f64 i i) (*.f64 i i))overflow109
↳(*.f64 i i)overflow158
↳(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))overflow79
↳(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))overflow79
↳(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))overflow79
↳(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))overflow79
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))u/u490
↳(*.f64 (*.f64 i i) (*.f64 i i))underflow83
↳(*.f64 i i)underflow98
↳(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))underflow49
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))u/n340
↳(*.f64 (*.f64 i i) (*.f64 i i))underflow83
↳(*.f64 i i)underflow98
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))o/n300
↳(*.f64 (*.f64 i i) (*.f64 i i))overflow109
↳(*.f64 i i)overflow158
Confusion
Predicted +Predicted -
+1920
-064
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+19200
-0064
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
064
1113
279
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
43.0ms512×0valid
Compiler

Compiled 173 to 34 computations (80.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 14.0ms (51.1% of total)
ival-div: 10.0ms (36.5% of total)
ival-sub: 3.0ms (11% of total)
ival-true: 1.0ms (3.7% of total)
exact: 1.0ms (3.7% of total)
ival-assert: 0.0ms (0% of total)

preprocess140.0ms (2.7%)

Memory
-3.4MiB live, 176.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01243
16243
250326
3400126
01025
01721
15619
238213
3306413
0843112
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Outputs
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 i i))
Symmetry

(abs i)

Compiler

Compiled 25 to 10 computations (60% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶26.6%
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Compiler

Compiled 25 to 10 computations (60% saved)

simplify142.0ms (2.7%)

Memory
-6.3MiB live, 288.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01072
01762
15656
238242
3306442
0843140
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
(*.f64 (*.f64 i i) (*.f64 i i))
(*.f64 i i)
i
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(*.f64 #s(literal 2 binary64) i)
#s(literal 2 binary64)
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 i i))
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(*.f64 (*.f64 i i) (*.f64 i i))
(pow.f64 i #s(literal 4 binary64))
(*.f64 i i)
i
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(*.f64 #s(literal 4 binary64) (*.f64 i i))
(*.f64 #s(literal 2 binary64) i)
#s(literal 2 binary64)
(-.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)

localize67.0ms (1.3%)

Memory
-7.1MiB live, 39.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 #s(literal 2 binary64) i)
accuracy0.11947250976844202
(*.f64 (*.f64 i i) (*.f64 i i))
accuracy19.134764688294805
(/.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)))
accuracy42.577781101091425
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
Samples
60.0ms256×0valid
Compiler

Compiled 74 to 12 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-mult: 48.0ms (90.5% of total)
ival-div: 3.0ms (5.7% of total)
ival-sub: 1.0ms (1.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
8.5MiB live, 8.5MiB allocated
Counts
6 → 15
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
(*.f64 (*.f64 i i) (*.f64 i i))
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) i)
Outputs
(* 1/4 (pow i 2))
(pow i 4)
(* 4 (pow i 2))
-1
(- (* 4 (pow i 2)) 1)
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(* 2 i)
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
Calls

3 calls:

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

simplify195.0ms (3.7%)

Memory
17.4MiB live, 192.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050126
195126
2209126
3495126
41135126
51599126
61870126
72048126
82062126
92062126
102062126
112488126
123407126
133413126
143439126
153803126
164501126
175100126
185965126
08014124
Stop Event
1×iter limit
1×node limit
Counts
15 → 15
Calls
Call 1
Inputs
(* 1/4 (pow i 2))
(pow i 4)
(* 4 (pow i 2))
-1
(- (* 4 (pow i 2)) 1)
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(* 2 i)
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
Outputs
(* 1/4 (pow i 2))
(*.f64 (*.f64 #s(literal 1/4 binary64) i) i)
(pow i 4)
(pow.f64 i #s(literal 4 binary64))
(* 4 (pow i 2))
(*.f64 (*.f64 #s(literal 4 binary64) i) i)
-1
#s(literal -1 binary64)
(- (* 4 (pow i 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(* -1/4 (pow i 2))
(*.f64 (*.f64 #s(literal -1/4 binary64) i) i)
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 1 binary64)) i) i) #s(literal 1/4 binary64)) (*.f64 i i))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -16 binary64) (*.f64 i i)) #s(literal 4 binary64)) i) i) #s(literal 1 binary64)) (*.f64 i i)) #s(literal 1/4 binary64)) (*.f64 i i))
(* 2 i)
(*.f64 #s(literal 2 binary64) i)
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(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 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (-.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)))))

rewrite59.0ms (1.1%)

Memory
-15.4MiB live, 133.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01066
01750
17944
066142
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
6 → 166
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
(*.f64 (*.f64 i i) (*.f64 i i))
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) i)
Outputs
(*.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 i #s(literal 4 binary64))) (/.f64 i i))
(*.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 4 binary64)) (/.f64 i (*.f64 i i)))
(*.f64 (/.f64 (*.f64 (neg.f64 i) i) (*.f64 i #s(literal 4 binary64))) (/.f64 (*.f64 (neg.f64 i) i) i))
(*.f64 (/.f64 (*.f64 (neg.f64 i) i) #s(literal 4 binary64)) (/.f64 (*.f64 (neg.f64 i) i) (*.f64 i i)))
(*.f64 (/.f64 (*.f64 (neg.f64 i) i) (*.f64 (fabs.f64 i) #s(literal 2 binary64))) (/.f64 (*.f64 (neg.f64 i) i) (*.f64 (fabs.f64 i) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (neg.f64 i) i) (*.f64 #s(literal 2 binary64) i)) (/.f64 (*.f64 (neg.f64 i) i) (*.f64 #s(literal 2 binary64) i)))
(*.f64 (/.f64 (*.f64 i i) (*.f64 i #s(literal 4 binary64))) (/.f64 (*.f64 i i) i))
(*.f64 (/.f64 (*.f64 i i) #s(literal 4 binary64)) (/.f64 (*.f64 i i) (*.f64 i i)))
(*.f64 (/.f64 (*.f64 i i) (*.f64 #s(literal -2 binary64) i)) (/.f64 (*.f64 i i) (*.f64 #s(literal -2 binary64) i)))
(*.f64 (/.f64 (*.f64 i i) (*.f64 (fabs.f64 i) #s(literal 2 binary64))) (/.f64 (*.f64 i i) (*.f64 (fabs.f64 i) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) i)) (/.f64 i (*.f64 #s(literal -2 binary64) i)))
(*.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 (fabs.f64 i) #s(literal 2 binary64))) (/.f64 i (*.f64 (fabs.f64 i) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) i)) (/.f64 i (*.f64 #s(literal 2 binary64) i)))
(*.f64 (/.f64 (*.f64 (neg.f64 i) i) #s(literal 2 binary64)) (/.f64 (*.f64 (neg.f64 i) i) (*.f64 (*.f64 #s(literal 2 binary64) i) i)))
(*.f64 (/.f64 (*.f64 i i) #s(literal 2 binary64)) (/.f64 (*.f64 i i) (*.f64 (*.f64 #s(literal 2 binary64) i) i)))
(*.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 2 binary64)) (/.f64 i (*.f64 (*.f64 #s(literal 2 binary64) i) i)))
(*.f64 (/.f64 i (*.f64 i #s(literal 4 binary64))) (/.f64 (pow.f64 i #s(literal 3 binary64)) i))
(*.f64 (/.f64 i #s(literal 4 binary64)) (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 i i)))
(*.f64 (/.f64 i (*.f64 #s(literal -2 binary64) i)) (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) i)))
(*.f64 (/.f64 i (*.f64 (fabs.f64 i) #s(literal 2 binary64))) (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 (fabs.f64 i) #s(literal 2 binary64))))
(*.f64 (/.f64 i (*.f64 #s(literal 2 binary64) i)) (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) i)))
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(+.f64 i i)

eval23.0ms (0.4%)

Memory
8.8MiB live, 53.6MiB allocated
Compiler

Compiled 5 966 to 690 computations (88.4% saved)

prune6.0ms (0.1%)

Memory
19.6MiB live, 19.6MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New2276233
Fresh000
Picked101
Done000
Total2286234
Accuracy
100.0%
Counts
234 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶69.1%
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
▶55.2%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
45.3%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 1 binary64)) i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
▶45.2%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
▶45.0%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
▶55.6%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Compiler

Compiled 402 to 194 computations (51.7% saved)

simplify131.0ms (2.5%)

Memory
6.0MiB live, 188.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (neg.f64 i) i)
cost-diff0
(-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64))
cost-diff0
(*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i))
cost-diff0
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
cost-diff0
(*.f64 i i)
cost-diff0
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
cost-diff0
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
cost-diff0
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
cost-diff0
(*.f64 #s(literal -1/4 binary64) i)
cost-diff0
(*.f64 (*.f64 #s(literal -1/4 binary64) i) i)
cost-diff0
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
cost-diff0
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
cost-diff0
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))
cost-diff0
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
cost-diff1
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
cost-diff2
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034266
050240
1102228
2457192
33214192
08887186
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))
(*.f64 (*.f64 #s(literal 1/4 binary64) i) i)
(*.f64 #s(literal 1/4 binary64) i)
#s(literal 1/4 binary64)
i
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(*.f64 #s(literal 2 binary64) i)
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(literal 1/16 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
(*.f64 (*.f64 #s(literal -1/4 binary64) i) i)
(*.f64 #s(literal -1/4 binary64) i)
#s(literal -1/4 binary64)
i
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.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)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
(*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i))
(-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64))
(*.f64 (neg.f64 i) i)
(neg.f64 i)
i
#s(literal 1/4 binary64)
(*.f64 i i)
Outputs
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))
(*.f64 (*.f64 #s(literal 1/4 binary64) i) i)
(*.f64 #s(literal 1/4 binary64) i)
#s(literal 1/4 binary64)
i
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(*.f64 (*.f64 #s(literal 4 binary64) i) i)
(*.f64 #s(literal 2 binary64) i)
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(literal 1/16 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
(*.f64 (*.f64 #s(literal -1/4 binary64) i) i)
(*.f64 #s(literal -1/4 binary64) i)
#s(literal -1/4 binary64)
i
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.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)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) i) i))
(*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i))
(*.f64 (*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) i) i)
(-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64))
(*.f64 (neg.f64 i) i)
(neg.f64 i)
i
#s(literal 1/4 binary64)
(*.f64 i i)

localize124.0ms (2.4%)

Memory
-19.0MiB live, 141.8MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 i i)
accuracy0.0
(neg.f64 i)
accuracy0.06478500976844201
(*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i))
accuracy35.08329695358004
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
accuracy0.0
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
accuracy0.0
(*.f64 i i)
accuracy0.5793817663884263
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
accuracy28.662688892135126
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
accuracy0.0
(*.f64 (*.f64 #s(literal -1/4 binary64) i) i)
accuracy0.0
(*.f64 #s(literal -1/4 binary64) i)
accuracy35.18533488018432
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
accuracy28.39355616818269
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
accuracy0.0
(*.f64 #s(literal 2 binary64) i)
accuracy0.0
(*.f64 #s(literal 1/4 binary64) i)
accuracy0.0
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))
accuracy19.134764688294805
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Samples
59.0ms256×0valid
Compiler

Compiled 229 to 26 computations (88.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-div: 26.0ms (57% of total)
ival-mult: 14.0ms (30.7% of total)
ival-sub: 2.0ms (4.4% of total)
ival-add: 1.0ms (2.2% of total)
exact: 1.0ms (2.2% of total)
ival-neg: 1.0ms (2.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.2%)

Memory
13.0MiB live, 13.0MiB allocated
Counts
19 → 26
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
(*.f64 (*.f64 #s(literal -1/4 binary64) i) i)
(*.f64 #s(literal -1/4 binary64) i)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(*.f64 i i)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
(*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i))
(-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64))
(*.f64 (neg.f64 i) i)
(*.f64 #s(literal 1/4 binary64) i)
(*.f64 #s(literal 2 binary64) i)
(neg.f64 i)
Outputs
(* 4 (pow i 2))
-1
(- (* 4 (pow i 2)) 1)
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(* 1/4 (pow i 2))
(* -1/4 i)
(/ 1/64 (pow i 2))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(pow i 2)
-1/4
(- (* -1 (pow i 2)) 1/4)
(* -1 (pow i 2))
(* 1/4 i)
(* 2 i)
(* -1 i)
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
Calls

3 calls:

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

simplify82.0ms (1.6%)

Memory
0.6MiB live, 90.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
064191
1150191
2418179
31601179
44422179
57683179
08257179
Stop Event
1×iter limit
1×node limit
Counts
26 → 26
Calls
Call 1
Inputs
(* 4 (pow i 2))
-1
(- (* 4 (pow i 2)) 1)
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(* 1/4 (pow i 2))
(* -1/4 i)
(/ 1/64 (pow i 2))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(pow i 2)
-1/4
(- (* -1 (pow i 2)) 1/4)
(* -1 (pow i 2))
(* 1/4 i)
(* 2 i)
(* -1 i)
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
Outputs
(* 4 (pow i 2))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
-1
#s(literal -1 binary64)
(- (* 4 (pow i 2)) 1)
(-.f64 (*.f64 (*.f64 i i) #s(literal 4 binary64)) #s(literal 1 binary64))
(* -1/4 (pow i 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 (*.f64 (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 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 1 binary64)) i) i) #s(literal 1/4 binary64)) (*.f64 i i))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -16 binary64) (*.f64 i i)) #s(literal 4 binary64)) i) i) #s(literal 1 binary64)) (*.f64 i i)) #s(literal 1/4 binary64)) (*.f64 i i))
(* 1/4 (pow i 2))
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64))
(pow i 2)
(*.f64 i i)
-1/4
#s(literal -1/4 binary64)
(- (* -1 (pow i 2)) 1/4)
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(* -1 (pow i 2))
(*.f64 (neg.f64 i) i)
(* 1/4 i)
(*.f64 #s(literal 1/4 binary64) i)
(* 2 i)
(*.f64 #s(literal 2 binary64) i)
(* -1 i)
(neg.f64 i)
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))) i) i)
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(-.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(-.f64 (-.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (/.f64 #s(literal -1/64 binary64) (*.f64 i i))) (-.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64)))))
(* -1 (pow i 4))
(neg.f64 (pow.f64 i #s(literal 4 binary64)))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 i i))) (pow.f64 i #s(literal 4 binary64)))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))

rewrite157.0ms (3%)

Memory
3.5MiB live, 186.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034246
050206
1158194
21017134
09922132
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
19 → 2 509
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
(*.f64 (*.f64 #s(literal -1/4 binary64) i) i)
(*.f64 #s(literal -1/4 binary64) i)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(*.f64 i i)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
(*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i))
(-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64))
(*.f64 (neg.f64 i) i)
(*.f64 #s(literal 1/4 binary64) i)
(*.f64 #s(literal 2 binary64) i)
(neg.f64 i)
Outputs
(*.f64 (*.f64 #s(literal 16 binary64) (pow.f64 (neg.f64 i) #s(literal 3 binary64))) (neg.f64 i))
(*.f64 (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 3 binary64))) i)
(*.f64 (*.f64 #s(literal 16 binary64) (*.f64 (neg.f64 i) i)) (*.f64 (neg.f64 i) i))
(*.f64 (*.f64 #s(literal 16 binary64) (neg.f64 i)) (pow.f64 (neg.f64 i) #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal 16 binary64) (*.f64 i i)) (*.f64 i i))
(*.f64 (*.f64 #s(literal 16 binary64) i) (pow.f64 i #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) i) #s(literal -4 binary64)) (*.f64 i i))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 i i)) #s(literal 4 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) i) (*.f64 #s(literal -2 binary64) i))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 16 binary64)) (pow.f64 i #s(literal 4 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)) #s(literal 4 binary64)) (*.f64 i i))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)) (*.f64 i i)) #s(literal 4 binary64))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)) i) (*.f64 #s(literal -2 binary64) i))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) i))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 64 binary64)) (pow.f64 i #s(literal 6 binary64)))
(*.f64 (*.f64 #s(literal -4 binary64) (neg.f64 i)) (neg.f64 i))
(*.f64 (*.f64 #s(literal -4 binary64) i) i)
(*.f64 (*.f64 #s(literal -2 binary64) (*.f64 i i)) #s(literal 2 binary64))
(*.f64 #s(literal 256 binary64) (pow.f64 i #s(literal 8 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 3/4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 3/4 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) i))
(*.f64 (sqrt.f64 i) (*.f64 #s(literal -2 binary64) i))
(*.f64 #s(literal -8 binary64) (pow.f64 i #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 i i) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 i i) #s(literal 3/2 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (*.f64 #s(literal -2 binary64) i))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (*.f64 #s(literal -2 binary64) i))
(*.f64 (pow.f64 i #s(literal 3/2 binary64)) (*.f64 #s(literal -2 binary64) i))
(*.f64 #s(literal 262144 binary64) (pow.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 3 binary64)))
(*.f64 #s(literal 512 binary64) (*.f64 #s(literal -2 binary64) i))
(*.f64 #s(literal 4096 binary64) (pow.f64 i #s(literal 12 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 (*.f64 i i) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64))))
(*.f64 #s(literal -4 binary64) (*.f64 (neg.f64 i) i))
(*.f64 #s(literal -4 binary64) (*.f64 i i))
(*.f64 #s(literal -2 binary64) (neg.f64 i))
(*.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) i))
(*.f64 #s(literal -2 binary64) i)
(*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)))
(*.f64 #s(literal 16 binary64) (*.f64 #s(literal -2 binary64) i))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) i))
(*.f64 (fma.f64 i i #s(literal 0 binary64)) (*.f64 #s(literal -2 binary64) i))
(*.f64 (pow.f64 (neg.f64 i) #s(literal 3 binary64)) #s(literal 8 binary64))
(*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal -8 binary64))
(*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 64 binary64))
(*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 8 binary64))
(*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 4 binary64))
(*.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) i))
(*.f64 #s(literal 64 binary64) (pow.f64 i #s(literal 6 binary64)))
(*.f64 #s(literal 64 binary64) (*.f64 #s(literal -2 binary64) i))
(*.f64 #s(literal 8 binary64) (pow.f64 (neg.f64 i) #s(literal 3 binary64)))
(*.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64)))
(*.f64 #s(literal 8 binary64) (*.f64 #s(literal -2 binary64) i))
(*.f64 (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) i))
(*.f64 #s(literal 4 binary64) (neg.f64 (*.f64 (*.f64 i i) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)))))
(*.f64 #s(literal 4 binary64) (*.f64 (*.f64 i i) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64))))
(*.f64 #s(literal 4 binary64) (fma.f64 i i #s(literal 0 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 (neg.f64 i) i))
(*.f64 #s(literal 4 binary64) (neg.f64 i))
(*.f64 #s(literal 4 binary64) (*.f64 i i))
(*.f64 #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) i))
(*.f64 #s(literal 4 binary64) i)
(*.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 64 binary64))
(*.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 8 binary64))
(*.f64 (*.f64 (neg.f64 i) i) #s(literal 4 binary64))
(*.f64 (*.f64 (neg.f64 i) i) (*.f64 #s(literal -2 binary64) i))
(*.f64 (*.f64 (neg.f64 i) i) #s(literal 2 binary64))
(*.f64 (neg.f64 i) #s(literal -2 binary64))
(*.f64 (neg.f64 i) #s(literal 4 binary64))
(*.f64 (neg.f64 i) (*.f64 #s(literal -2 binary64) i))
(*.f64 (neg.f64 i) #s(literal 2 binary64))
(*.f64 (*.f64 i i) (-.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 4 binary64)))
(*.f64 (*.f64 i i) #s(literal -4 binary64))
(*.f64 (*.f64 i i) #s(literal -2 binary64))
(*.f64 (*.f64 i i) #s(literal 16 binary64))
(*.f64 (*.f64 i i) #s(literal 4 binary64))
(*.f64 (*.f64 i i) (*.f64 #s(literal -2 binary64) i))
(*.f64 (*.f64 i i) #s(literal 2 binary64))
(*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64))
(*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 4 binary64))
(*.f64 (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) i))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) i))
(*.f64 (*.f64 #s(literal -2 binary64) i) (-.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) i) (-.f64 (*.f64 #s(literal -2 binary64) i) i))
(*.f64 (*.f64 #s(literal -2 binary64) i) (neg.f64 (*.f64 i (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) i) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) i) (sqrt.f64 (neg.f64 i)))
(*.f64 (*.f64 #s(literal -2 binary64) i) (sqrt.f64 i))
(*.f64 (*.f64 #s(literal -2 binary64) i) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) i) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) i) (pow.f64 (neg.f64 i) #s(literal 3/2 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) i) (pow.f64 i #s(literal 3/2 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) i) (pow.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) i) (*.f64 i (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) i) #s(literal -2 binary64))
(*.f64 (*.f64 #s(literal -2 binary64) i) #s(literal -1 binary64))
(*.f64 (*.f64 #s(literal -2 binary64) i) (pow.f64 (neg.f64 i) #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) i) (pow.f64 i #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 8 binary64))
(*.f64 (*.f64 #s(literal -2 binary64) i) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 4 binary64))
(*.f64 (*.f64 #s(literal -2 binary64) i) (pow.f64 i #s(literal 6 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) i) (*.f64 (neg.f64 i) i))
(*.f64 (*.f64 #s(literal -2 binary64) i) (neg.f64 i))
(*.f64 (*.f64 #s(literal -2 binary64) i) (*.f64 i i))
(*.f64 (*.f64 #s(literal -2 binary64) i) (pow.f64 i #s(literal 4 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) i) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal -2 binary64) i) (*.f64 #s(literal -2 binary64) i))
(*.f64 (*.f64 #s(literal -2 binary64) i) i)
(*.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 2 binary64))
(*.f64 i #s(literal -4 binary64))
(*.f64 i #s(literal -2 binary64))
(*.f64 i #s(literal 4 binary64))
(*.f64 i (*.f64 #s(literal -2 binary64) i))
(*.f64 i #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 i #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (neg.f64 i))
(*.f64 #s(literal 2 binary64) (*.f64 i i))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) i))
(*.f64 #s(literal 2 binary64) i)
(pow.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 9 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 18 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 12 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 3/2 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 8 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 6 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 4 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 i #s(literal 6 binary64)) (pow.f64 i #s(literal 6 binary64))) (-.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 i #s(literal 3 binary64))))
(/.f64 (+.f64 (pow.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 i #s(literal 6 binary64)) (-.f64 (pow.f64 i #s(literal 6 binary64)) (pow.f64 i #s(literal 6 binary64)))))
(/.f64 (+.f64 (pow.f64 (neg.f64 i) #s(literal 3 binary64)) (pow.f64 (neg.f64 i) #s(literal 3 binary64))) (fma.f64 i i #s(literal 0 binary64)))
(/.f64 (-.f64 (pow.f64 i #s(literal 4 binary64)) (pow.f64 i #s(literal 4 binary64))) #s(literal 0 binary64))
(/.f64 (+.f64 (pow.f64 i #s(literal 6 binary64)) (pow.f64 i #s(literal 6 binary64))) (+.f64 (pow.f64 i #s(literal 4 binary64)) (-.f64 (pow.f64 i #s(literal 4 binary64)) (pow.f64 i #s(literal 4 binary64)))))
(/.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) i)) (*.f64 #s(literal 0 binary64) (fma.f64 i i #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64))) (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64))) (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64))))
(/.f64 #s(literal 0 binary64) (-.f64 (neg.f64 i) (neg.f64 i)))
(/.f64 #s(literal 0 binary64) (*.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) i) (neg.f64 (fma.f64 i i #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal -2 binary64) i) (*.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 i i #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal -2 binary64) i) (*.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64))))
(/.f64 (*.f64 #s(literal -2 binary64) i) (*.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal -2 binary64) i) (fabs.f64 (fma.f64 i i #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal -2 binary64) i) (pow.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) i) (fma.f64 i i #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) i) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) i) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) i) (*.f64 #s(literal -2 binary64) i))
(neg.f64 (*.f64 #s(literal 16 binary64) (neg.f64 (pow.f64 i #s(literal 4 binary64)))))
(neg.f64 (*.f64 #s(literal -2 binary64) i))
(fma.f64 (*.f64 #s(literal 16 binary64) (pow.f64 (neg.f64 i) #s(literal 3 binary64))) (neg.f64 i) (*.f64 (+.f64 i #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) i)))
(fma.f64 (*.f64 #s(literal 16 binary64) (pow.f64 (neg.f64 i) #s(literal 3 binary64))) (neg.f64 i) (*.f64 (-.f64 i #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) i)))
(fma.f64 (*.f64 #s(literal 16 binary64) (pow.f64 (neg.f64 i) #s(literal 3 binary64))) (neg.f64 i) (*.f64 (*.f64 #s(literal -2 binary64) i) (+.f64 i #s(literal 1 binary64))))
(fma.f64 (*.f64 #s(literal 16 binary64) (pow.f64 (neg.f64 i) #s(literal 3 binary64))) (neg.f64 i) (*.f64 (*.f64 #s(literal -2 binary64) i) (-.f64 i #s(literal 1 binary64))))
(fma.f64 (*.f64 #s(literal 16 binary64) (pow.f64 (neg.f64 i) #s(literal 3 binary64))) (neg.f64 i) (*.f64 #s(literal -2 binary64) i))
(fma.f64 (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 3 binary64))) i (*.f64 (+.f64 i #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) i)))
(fma.f64 (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 3 binary64))) i (*.f64 (-.f64 i #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) i)))
(fma.f64 (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 3 binary64))) i (*.f64 (*.f64 #s(literal -2 binary64) i) (+.f64 i #s(literal 1 binary64))))
(fma.f64 (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 3 binary64))) i (*.f64 (*.f64 #s(literal -2 binary64) i) (-.f64 i #s(literal 1 binary64))))
(fma.f64 (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 3 binary64))) i (*.f64 #s(literal -2 binary64) i))
(fma.f64 (*.f64 #s(literal 16 binary64) (*.f64 (neg.f64 i) i)) (*.f64 (neg.f64 i) i) (*.f64 (+.f64 i #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) i)))
(fma.f64 (*.f64 #s(literal 16 binary64) (*.f64 (neg.f64 i) i)) (*.f64 (neg.f64 i) i) (*.f64 (-.f64 i #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) i)))
(fma.f64 (*.f64 #s(literal 16 binary64) (*.f64 (neg.f64 i) i)) (*.f64 (neg.f64 i) i) (*.f64 (*.f64 #s(literal -2 binary64) i) (+.f64 i #s(literal 1 binary64))))
(fma.f64 (*.f64 #s(literal 16 binary64) (*.f64 (neg.f64 i) i)) (*.f64 (neg.f64 i) i) (*.f64 (*.f64 #s(literal -2 binary64) i) (-.f64 i #s(literal 1 binary64))))
(fma.f64 (*.f64 #s(literal 16 binary64) (*.f64 (neg.f64 i) i)) (*.f64 (neg.f64 i) i) (*.f64 #s(literal -2 binary64) i))
(fma.f64 (*.f64 #s(literal 16 binary64) (neg.f64 i)) (pow.f64 (neg.f64 i) #s(literal 3 binary64)) (*.f64 (+.f64 i #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) i)))
(fma.f64 (*.f64 #s(literal 16 binary64) (neg.f64 i)) (pow.f64 (neg.f64 i) #s(literal 3 binary64)) (*.f64 (-.f64 i #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) i)))
(fma.f64 (*.f64 #s(literal 16 binary64) (neg.f64 i)) (pow.f64 (neg.f64 i) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) i) (+.f64 i #s(literal 1 binary64))))
(fma.f64 (*.f64 #s(literal 16 binary64) (neg.f64 i)) (pow.f64 (neg.f64 i) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) i) (-.f64 i #s(literal 1 binary64))))
(fma.f64 (*.f64 #s(literal 16 binary64) (neg.f64 i)) (pow.f64 (neg.f64 i) #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) i))
(fma.f64 (*.f64 #s(literal 16 binary64) (*.f64 i i)) (*.f64 i i) (*.f64 (+.f64 i #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) i)))
(fma.f64 (*.f64 #s(literal 16 binary64) (*.f64 i i)) (*.f64 i i) (*.f64 (-.f64 i #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) i)))
(fma.f64 (*.f64 #s(literal 16 binary64) (*.f64 i i)) (*.f64 i i) (*.f64 (*.f64 #s(literal -2 binary64) i) (+.f64 i #s(literal 1 binary64))))
(fma.f64 (*.f64 #s(literal 16 binary64) (*.f64 i i)) (*.f64 i i) (*.f64 (*.f64 #s(literal -2 binary64) i) (-.f64 i #s(literal 1 binary64))))
(fma.f64 (*.f64 #s(literal 16 binary64) (*.f64 i i)) (*.f64 i i) (*.f64 #s(literal -2 binary64) i))
(fma.f64 (*.f64 #s(literal 16 binary64) i) (pow.f64 i #s(literal 3 binary64)) (*.f64 (+.f64 i #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) i)))
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(fma.f64 (*.f64 i i) #s(literal 16 binary64) (*.f64 (*.f64 #s(literal -2 binary64) i) (+.f64 i #s(literal 1 binary64))))
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(fma.f64 (*.f64 i i) #s(literal 16 binary64) (*.f64 #s(literal -2 binary64) i))
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(fma.f64 (*.f64 i i) #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -2 binary64) i) (+.f64 i #s(literal 1 binary64))))
(fma.f64 (*.f64 i i) #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -2 binary64) i) (-.f64 i #s(literal 1 binary64))))
(fma.f64 (*.f64 i i) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) i))
(fma.f64 (*.f64 i i) #s(literal 1 binary64) (fma.f64 i i (*.f64 #s(literal -2 binary64) i)))
(fma.f64 (*.f64 i i) #s(literal 1 binary64) (*.f64 i i))
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(fma.f64 (*.f64 i i) i (pow.f64 i #s(literal 3 binary64)))
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(fma.f64 (*.f64 i i) #s(literal 2 binary64) (*.f64 (-.f64 i #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) i)))
(fma.f64 (*.f64 i i) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) i) (+.f64 i #s(literal 1 binary64))))
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(fma.f64 (*.f64 i i) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) i))
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(hypot.f64 (exp.f64 (log.f64 i)) (sqrt.f64 (*.f64 (neg.f64 i) i)))
(hypot.f64 (exp.f64 (log.f64 i)) (exp.f64 (log.f64 i)))
(hypot.f64 (exp.f64 (log.f64 i)) (neg.f64 i))
(hypot.f64 (exp.f64 (log.f64 i)) i)
(hypot.f64 (pow.f64 i #s(literal 3/2 binary64)) (pow.f64 i #s(literal 3/2 binary64)))
(hypot.f64 (neg.f64 i) (sqrt.f64 (*.f64 (neg.f64 i) i)))
(hypot.f64 (neg.f64 i) (exp.f64 (log.f64 i)))
(hypot.f64 (neg.f64 i) (neg.f64 i))
(hypot.f64 (neg.f64 i) i)
(hypot.f64 (*.f64 #s(literal -2 binary64) i) (pow.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 3/4 binary64)))
(hypot.f64 (*.f64 #s(literal -2 binary64) i) (*.f64 #s(literal -2 binary64) i))
(hypot.f64 i (sqrt.f64 (*.f64 (neg.f64 i) i)))
(hypot.f64 i (exp.f64 (log.f64 i)))
(hypot.f64 i (neg.f64 i))
(hypot.f64 i i)
(exp.f64 (fma.f64 (log.f64 i) #s(literal 2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) i))))
(exp.f64 (fma.f64 (log.f64 (*.f64 #s(literal -2 binary64) i)) #s(literal 3 binary64) (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) i)) #s(literal 3 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) i)) #s(literal 3 binary64)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (log.f64 (*.f64 #s(literal -2 binary64) i)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) i)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) i)) #s(literal 3 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) i)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) i)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) i)) #s(literal 6 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) i)) #s(literal 4 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) i)))
(+.f64 (fma.f64 #s(literal -2 binary64) i (*.f64 i i)) (*.f64 i i))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 i i)) (*.f64 #s(literal -2 binary64) (*.f64 i i)))
(+.f64 (/.f64 (pow.f64 i #s(literal 3 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 (cosh.f64 (log.f64 (*.f64 #s(literal -2 binary64) i))) (sinh.f64 (log.f64 (*.f64 #s(literal -2 binary64) i))))
(+.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) i)) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) i)) #s(literal 3 binary64))))
(+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 i #s(literal 3 binary64)))
(+.f64 (*.f64 (neg.f64 i) i) (*.f64 (neg.f64 i) i))
(+.f64 (neg.f64 i) (neg.f64 i))
(+.f64 (*.f64 i i) (fma.f64 i i (*.f64 #s(literal -2 binary64) i)))
(+.f64 (*.f64 i i) (*.f64 i i))
(+.f64 (*.f64 #s(literal -2 binary64) i) (*.f64 (+.f64 i #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) i)))
(+.f64 (*.f64 #s(literal -2 binary64) i) (*.f64 (-.f64 i #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) i)))
(+.f64 (*.f64 #s(literal -2 binary64) i) (*.f64 (*.f64 #s(literal -2 binary64) i) (+.f64 i #s(literal 1 binary64))))
(+.f64 (*.f64 #s(literal -2 binary64) i) (*.f64 (*.f64 #s(literal -2 binary64) i) (-.f64 i #s(literal 1 binary64))))
(+.f64 (*.f64 #s(literal -2 binary64) i) (*.f64 #s(literal -2 binary64) i))
(+.f64 i i)
(neg.f64 i)

eval299.0ms (5.7%)

Memory
14.3MiB live, 427.9MiB allocated
Compiler

Compiled 60 497 to 4 708 computations (92.2% saved)

prune48.0ms (0.9%)

Memory
-31.1MiB live, 91.1MiB allocated
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1 71221 714
Fresh101
Picked235
Done000
Total1 71551 720
Accuracy
100.0%
Counts
1 720 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶69.1%
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
✓55.2%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
▶45.2%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
✓45.0%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
✓55.6%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Compiler

Compiled 154 to 74 computations (51.9% saved)

simplify113.0ms (2.1%)

Memory
5.3MiB live, 147.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

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

Useful iterations: 2 (0.0ms)

IterNodesCost
024128
034120
186113
250395
3364695
0918795
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
(*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)
(fma.f64 i i #s(literal 1/4 binary64))
i
#s(literal 1/4 binary64)
(neg.f64 i)
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))
(*.f64 (*.f64 #s(literal 1/4 binary64) i) i)
(*.f64 #s(literal 1/4 binary64) i)
#s(literal 1/4 binary64)
i
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
(*.f64 i i)
#s(literal 4 binary64)
#s(literal -1 binary64)
Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (*.f64 i i)))
(*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
(*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (*.f64 i i))
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)
(fma.f64 i i #s(literal 1/4 binary64))
i
#s(literal 1/4 binary64)
(neg.f64 i)
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 #s(literal 1/4 binary64) (*.f64 i i))) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 #s(literal 1/4 binary64) (*.f64 i i)))
(*.f64 (*.f64 #s(literal 1/4 binary64) i) i)
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(*.f64 #s(literal 1/4 binary64) i)
#s(literal 1/4 binary64)
i
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))
(*.f64 i i)
#s(literal 4 binary64)
#s(literal -1 binary64)

localize83.0ms (1.6%)

Memory
-15.0MiB live, 73.4MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 i i)
accuracy0.0
(*.f64 #s(literal 1/4 binary64) i)
accuracy0.0
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))
accuracy19.134764688294805
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
accuracy0.0
(neg.f64 i)
accuracy0.03515625
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)
accuracy0.03515625
(*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
accuracy35.08329695358004
#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)))
Samples
55.0ms256×0valid
Compiler

Compiled 113 to 24 computations (78.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-add: 26.0ms (57.1% of total)
ival-mult: 13.0ms (28.5% of total)
ival-div: 4.0ms (8.8% of total)
ival-sub: 1.0ms (2.2% of total)
exact: 1.0ms (2.2% of total)
ival-neg: 1.0ms (2.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
8.9MiB live, 8.9MiB allocated
Counts
10 → 20
Calls
Call 1
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
(*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)
(fma.f64 i i #s(literal 1/4 binary64))
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))
(*.f64 (*.f64 #s(literal 1/4 binary64) i) i)
(*.f64 #s(literal 1/4 binary64) i)
(neg.f64 i)
(*.f64 i i)
Outputs
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(* 1/4 i)
(* i (+ 1/4 (pow i 2)))
1/4
(+ 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* -1 i)
(pow i 2)
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(pow i 3)
(* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
Calls

3 calls:

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

simplify120.0ms (2.3%)

Memory
-1.6MiB live, 96.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058150
1141150
2383150
31344150
44342148
57977148
08013144
Stop Event
1×iter limit
1×node limit
Counts
20 → 20
Calls
Call 1
Inputs
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(* 1/4 i)
(* i (+ 1/4 (pow i 2)))
1/4
(+ 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* -1 i)
(pow i 2)
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(pow i 3)
(* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
Outputs
(* -1/4 (pow i 2))
(*.f64 (*.f64 #s(literal -1/4 binary64) 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 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 1 binary64)) i) i) #s(literal 1/4 binary64)) (*.f64 i i))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -16 binary64) (*.f64 i i)) #s(literal 4 binary64)) i) i) #s(literal 1 binary64)) (*.f64 i i)) #s(literal 1/4 binary64)) (*.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)
1/4
#s(literal 1/4 binary64)
(+ 1/4 (pow i 2))
(fma.f64 i i #s(literal 1/4 binary64))
(* 1/4 (pow i 2))
(*.f64 (*.f64 #s(literal 1/4 binary64) i) i)
(* -1 i)
(neg.f64 i)
(pow i 2)
(*.f64 i i)
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(-.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (-.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (/.f64 #s(literal -1/64 binary64) (*.f64 i i))))
(* -1 (pow i 4))
(neg.f64 (pow.f64 i #s(literal 4 binary64)))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
(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)
(* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(fma.f64 i i #s(literal 1/4 binary64))

rewrite68.0ms (1.3%)

Memory
14.3MiB live, 57.6MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024116
034102
114295
0102995
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
10 → 79
Calls
Call 1
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
(*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)
(fma.f64 i i #s(literal 1/4 binary64))
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))
(*.f64 (*.f64 #s(literal 1/4 binary64) i) i)
(*.f64 #s(literal 1/4 binary64) i)
(neg.f64 i)
(*.f64 i i)
Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (neg.f64 i) i) (fma.f64 i i #s(literal 1/4 binary64))))
(*.f64 (*.f64 (neg.f64 i) (fma.f64 i i #s(literal 1/4 binary64))) i)
(*.f64 (neg.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)) i)
(*.f64 (*.f64 (neg.f64 i) i) (fma.f64 i i #s(literal 1/4 binary64)))
(*.f64 (neg.f64 i) (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i))
(*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i))
(*.f64 i (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (neg.f64 i)))
(/.f64 (*.f64 (-.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (neg.f64 i) i)) (-.f64 (*.f64 i i) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 6 binary64))) (*.f64 (neg.f64 i) i)) (-.f64 (+.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)))
(neg.f64 (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) i))
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)
(*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)) i) (-.f64 (*.f64 i i) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 6 binary64))) i) (-.f64 (+.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)))
(/.f64 (*.f64 i (-.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64))) (-.f64 (*.f64 i i) #s(literal 1/4 binary64)))
(/.f64 (*.f64 i (+.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 6 binary64)))) (-.f64 (+.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)))
(fma.f64 (*.f64 i (fabs.f64 i)) (fabs.f64 i) (*.f64 #s(literal 1/4 binary64) i))
(fma.f64 (*.f64 (neg.f64 i) i) (neg.f64 i) (*.f64 #s(literal 1/4 binary64) i))
(fma.f64 (fabs.f64 i) (*.f64 (fabs.f64 i) i) (*.f64 #s(literal 1/4 binary64) i))
(fma.f64 (neg.f64 i) (*.f64 (neg.f64 i) i) (*.f64 #s(literal 1/4 binary64) i))
(fma.f64 #s(literal 1/4 binary64) i (pow.f64 i #s(literal 3 binary64)))
(fma.f64 (*.f64 i i) i (*.f64 #s(literal 1/4 binary64) i))
(fma.f64 i #s(literal 1/4 binary64) (pow.f64 i #s(literal 3 binary64)))
(fma.f64 i (*.f64 i i) (*.f64 #s(literal 1/4 binary64) i))
(+.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal 1/4 binary64) i))
(+.f64 (*.f64 #s(literal 1/4 binary64) i) (pow.f64 i #s(literal 3 binary64)))
(/.f64 (-.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 i i)))
(/.f64 (neg.f64 (-.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64))) (neg.f64 (-.f64 (*.f64 i i) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 6 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))))
(/.f64 (-.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)) (-.f64 (*.f64 i i) #s(literal 1/4 binary64)))
(/.f64 (+.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 6 binary64))) (+.f64 #s(literal 1/16 binary64) (-.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))))
(/.f64 (+.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)))
(fma.f64 (pow.f64 i #s(literal 1 binary64)) (pow.f64 i #s(literal 1 binary64)) #s(literal 1/4 binary64))
(fma.f64 (neg.f64 (fabs.f64 i)) (neg.f64 (fabs.f64 i)) #s(literal 1/4 binary64))
(fma.f64 (neg.f64 (neg.f64 i)) (neg.f64 (neg.f64 i)) #s(literal 1/4 binary64))
(fma.f64 (fabs.f64 (fabs.f64 i)) (fabs.f64 (fabs.f64 i)) #s(literal 1/4 binary64))
(fma.f64 (fabs.f64 i) (fabs.f64 i) #s(literal 1/4 binary64))
(fma.f64 (neg.f64 i) (neg.f64 i) #s(literal 1/4 binary64))
(fma.f64 i i #s(literal 1/4 binary64))
(-.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) (-.f64 (*.f64 i i) #s(literal 1/4 binary64))) (/.f64 #s(literal 1/16 binary64) (-.f64 (*.f64 i i) #s(literal 1/4 binary64))))
(-.f64 #s(literal 1/4 binary64) (*.f64 (neg.f64 i) i))
(+.f64 (/.f64 (pow.f64 i #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))) (/.f64 #s(literal 1/64 binary64) (-.f64 (+.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))))
(+.f64 #s(literal 1/4 binary64) (*.f64 i i))
(+.f64 (*.f64 i i) #s(literal 1/4 binary64))
(*.f64 (/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 i i)))))
(/.f64 (neg.f64 (neg.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)))) (neg.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))))
(/.f64 (neg.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))
(neg.f64 (/.f64 (neg.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
(neg.f64 (/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))
(*.f64 (*.f64 #s(literal 1/4 binary64) (fabs.f64 i)) (fabs.f64 i))
(*.f64 (*.f64 #s(literal 1/4 binary64) (neg.f64 i)) (neg.f64 i))
(*.f64 (fabs.f64 i) (*.f64 (fabs.f64 i) #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal 1/4 binary64) i) i)
(*.f64 (neg.f64 i) (*.f64 (neg.f64 i) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(*.f64 (*.f64 i i) #s(literal 1/4 binary64))
(*.f64 i (*.f64 #s(literal 1/4 binary64) i))
(*.f64 #s(literal 1/4 binary64) i)
(*.f64 i #s(literal 1/4 binary64))
(neg.f64 i)
(*.f64 (pow.f64 i #s(literal 1 binary64)) (pow.f64 i #s(literal 1 binary64)))
(*.f64 (neg.f64 (fabs.f64 i)) (neg.f64 (fabs.f64 i)))
(*.f64 (neg.f64 (neg.f64 i)) (neg.f64 (neg.f64 i)))
(*.f64 (fabs.f64 (fabs.f64 i)) (fabs.f64 (fabs.f64 i)))
(*.f64 (fabs.f64 i) (fabs.f64 i))
(*.f64 (neg.f64 i) (neg.f64 i))
(*.f64 i i)
(pow.f64 (fabs.f64 i) #s(literal 2 binary64))
(pow.f64 (neg.f64 i) #s(literal 2 binary64))
(pow.f64 i #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 i) i))
(sqrt.f64 (pow.f64 i #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 i) i))
(fabs.f64 (*.f64 i i))
(exp.f64 (*.f64 (log.f64 i) #s(literal 2 binary64)))

eval11.0ms (0.2%)

Memory
11.4MiB live, 11.4MiB allocated
Compiler

Compiled 3 469 to 367 computations (89.4% saved)

prune4.0ms (0.1%)

Memory
7.7MiB live, 7.7MiB allocated
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New95196
Fresh000
Picked022
Done033
Total956101
Accuracy
100.0%
Counts
101 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓69.1%
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
✓55.2%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
▶45.2%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (*.f64 i i) i (*.f64 #s(literal 1/4 binary64) i)) (neg.f64 i)))
✓45.2%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
✓45.0%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
✓55.6%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Compiler

Compiled 191 to 91 computations (52.4% saved)

simplify114.0ms (2.2%)

Memory
-27.6MiB live, 118.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01766
02359
17257
241349
3318949
0834547
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (*.f64 i i) i (*.f64 #s(literal 1/4 binary64) i)) (neg.f64 i)))
(*.f64 (fma.f64 (*.f64 i i) i (*.f64 #s(literal 1/4 binary64) i)) (neg.f64 i))
(fma.f64 (*.f64 i i) i (*.f64 #s(literal 1/4 binary64) i))
(*.f64 i i)
i
(*.f64 #s(literal 1/4 binary64) 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 #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 (fma.f64 (*.f64 i i) i (*.f64 #s(literal 1/4 binary64) i)) (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 #s(literal 1/4 binary64) i))
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)
(*.f64 i i)
i
(*.f64 #s(literal 1/4 binary64) i)
#s(literal 1/4 binary64)
(neg.f64 i)

localize34.0ms (0.6%)

Memory
28.9MiB live, 72.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(neg.f64 i)
accuracy0.02734375
(fma.f64 (*.f64 i i) i (*.f64 #s(literal 1/4 binary64) i))
accuracy0.03515625
(*.f64 (fma.f64 (*.f64 i i) i (*.f64 #s(literal 1/4 binary64) i)) (neg.f64 i))
accuracy35.08329695358004
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (*.f64 i i) i (*.f64 #s(literal 1/4 binary64) i)) (neg.f64 i)))
Samples
26.0ms256×0valid
Compiler

Compiled 58 to 18 computations (69% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 10.0ms (60.2% of total)
ival-div: 3.0ms (18.1% of total)
ival-sub: 1.0ms (6% of total)
ival-add: 1.0ms (6% of total)
ival-neg: 1.0ms (6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series26.0ms (0.5%)

Memory
-35.1MiB live, 10.1MiB allocated
Counts
5 → 16
Calls
Call 1
Inputs
(fma.f64 (*.f64 i i) i (*.f64 #s(literal 1/4 binary64) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (*.f64 i i) i (*.f64 #s(literal 1/4 binary64) i)) (neg.f64 i)))
(*.f64 (fma.f64 (*.f64 i i) i (*.f64 #s(literal 1/4 binary64) i)) (neg.f64 i))
(*.f64 i i)
(neg.f64 i)
Outputs
(* 1/4 i)
(* i (+ 1/4 (pow i 2)))
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(pow i 2)
(* -1 i)
(pow i 3)
(* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
Calls

3 calls:

TimeVariablePointExpression
23.0ms
i
@-inf
((+ (* (* i i) i) (* 1/4 i)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (+ (* (* i i) i) (* 1/4 i)) (neg i)) (* i i) (neg i))
2.0ms
i
@0
((+ (* (* i i) i) (* 1/4 i)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (+ (* (* i i) i) (* 1/4 i)) (neg i)) (* i i) (neg i))
1.0ms
i
@inf
((+ (* (* i i) i) (* 1/4 i)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (+ (* (* i i) i) (* 1/4 i)) (neg i)) (* i i) (neg i))

simplify158.0ms (3%)

Memory
-27.5MiB live, 161.5MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056136
1131136
2355135
31087135
43749134
56617134
08406132
Stop Event
1×iter limit
1×node limit
Counts
16 → 16
Calls
Call 1
Inputs
(* 1/4 i)
(* i (+ 1/4 (pow i 2)))
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(pow i 2)
(* -1 i)
(pow i 3)
(* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
Outputs
(* 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)
(* -1/4 (pow i 2))
(*.f64 (*.f64 #s(literal -1/4 binary64) i) i)
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 (fma.f64 #s(literal -1/4 binary64) i (pow.f64 (neg.f64 i) #s(literal 3 binary64))) i)
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 1 binary64)) i) i) #s(literal 1/4 binary64)) (*.f64 i i))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -16 binary64) (*.f64 i i)) #s(literal 4 binary64)) i) i) #s(literal 1 binary64)) (*.f64 i i)) #s(literal 1/4 binary64)) (*.f64 i i))
(pow i 2)
(*.f64 i i)
(* -1 i)
(neg.f64 i)
(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)
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(-.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/64 binary64) (*.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (-.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (/.f64 #s(literal -1/64 binary64) (*.f64 i i))))
(* -1 (pow i 4))
(neg.f64 (pow.f64 i #s(literal 4 binary64)))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 i i))) (pow.f64 i #s(literal 4 binary64)))

rewrite54.0ms (1%)

Memory
23.8MiB live, 68.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01761
02352
110750
088446
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
5 → 73
Calls
Call 1
Inputs
(fma.f64 (*.f64 i i) i (*.f64 #s(literal 1/4 binary64) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (*.f64 i i) i (*.f64 #s(literal 1/4 binary64) i)) (neg.f64 i)))
(*.f64 (fma.f64 (*.f64 i i) i (*.f64 #s(literal 1/4 binary64) i)) (neg.f64 i))
(*.f64 i i)
(neg.f64 i)
Outputs
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)
(*.f64 i (-.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))
(/.f64 (-.f64 (pow.f64 i #s(literal 6 binary64)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) (*.f64 #s(literal -1/4 binary64) i))) (*.f64 i (-.f64 (*.f64 i i) #s(literal 1/4 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 i i)) (pow.f64 i #s(literal 6 binary64))) (-.f64 (*.f64 #s(literal 1/4 binary64) i) (pow.f64 i #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 i #s(literal 9 binary64)) (pow.f64 (*.f64 #s(literal -1/4 binary64) i) #s(literal 3 binary64))) (+.f64 (pow.f64 i #s(literal 6 binary64)) (fma.f64 (*.f64 #s(literal -1/4 binary64) i) (*.f64 #s(literal -1/4 binary64) i) (*.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal -1/4 binary64) i)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 i #s(literal 6 binary64)) (*.f64 #s(literal 1/16 binary64) (*.f64 i i)))) (neg.f64 (*.f64 i (-.f64 (*.f64 i i) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 3 binary64)) (pow.f64 i #s(literal 9 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) i) (-.f64 (*.f64 #s(literal 1/4 binary64) i) (pow.f64 i #s(literal 3 binary64))) (pow.f64 i #s(literal 6 binary64)))))
(/.f64 (-.f64 (pow.f64 i #s(literal 6 binary64)) (*.f64 #s(literal 1/16 binary64) (*.f64 i i))) (*.f64 i (-.f64 (*.f64 i i) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 3 binary64)) (pow.f64 i #s(literal 9 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 i i) (-.f64 (pow.f64 i #s(literal 6 binary64)) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 3 binary64)) (pow.f64 i #s(literal 9 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) i) (-.f64 (*.f64 #s(literal 1/4 binary64) i) (pow.f64 i #s(literal 3 binary64))) (pow.f64 i #s(literal 6 binary64))))
(fma.f64 (*.f64 i (fabs.f64 i)) (fabs.f64 i) (*.f64 #s(literal 1/4 binary64) i))
(fma.f64 (pow.f64 i #s(literal 3/2 binary64)) (pow.f64 i #s(literal 3/2 binary64)) (*.f64 #s(literal 1/4 binary64) i))
(fma.f64 (*.f64 (neg.f64 i) i) (neg.f64 i) (*.f64 #s(literal 1/4 binary64) i))
(fma.f64 (fabs.f64 i) (*.f64 (fabs.f64 i) i) (*.f64 #s(literal 1/4 binary64) i))
(fma.f64 (neg.f64 i) (*.f64 (neg.f64 i) i) (*.f64 #s(literal 1/4 binary64) i))
(fma.f64 (*.f64 i i) i (*.f64 #s(literal 1/4 binary64) i))
(fma.f64 #s(literal 1/4 binary64) i (pow.f64 i #s(literal 3 binary64)))
(fma.f64 i (*.f64 i i) (*.f64 #s(literal 1/4 binary64) i))
(fma.f64 i #s(literal 1/4 binary64) (pow.f64 i #s(literal 3 binary64)))
(-.f64 (/.f64 (pow.f64 i #s(literal 6 binary64)) (*.f64 i (-.f64 (*.f64 i i) #s(literal 1/4 binary64)))) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 i i)) (*.f64 i (-.f64 (*.f64 i i) #s(literal 1/4 binary64)))))
(-.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 (neg.f64 i) #s(literal 1/4 binary64)))
(-.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal -1/4 binary64) i))
(-.f64 (*.f64 #s(literal 1/4 binary64) i) (*.f64 (*.f64 (neg.f64 i) i) i))
(-.f64 (*.f64 #s(literal 1/4 binary64) i) (*.f64 (neg.f64 i) (*.f64 i i)))
(+.f64 (/.f64 (pow.f64 i #s(literal 9 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) i) (-.f64 (*.f64 #s(literal 1/4 binary64) i) (pow.f64 i #s(literal 3 binary64))) (pow.f64 i #s(literal 6 binary64)))) (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) i) (-.f64 (*.f64 #s(literal 1/4 binary64) i) (pow.f64 i #s(literal 3 binary64))) (pow.f64 i #s(literal 6 binary64)))))
(+.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal 1/4 binary64) i))
(+.f64 (*.f64 #s(literal 1/4 binary64) i) (pow.f64 i #s(literal 3 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (neg.f64 i) i) (fma.f64 i i #s(literal 1/4 binary64))))
(*.f64 (neg.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)) i)
(*.f64 (*.f64 (neg.f64 i) i) (fma.f64 i i #s(literal 1/4 binary64)))
(*.f64 (neg.f64 i) (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i))
(*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
(*.f64 i (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (neg.f64 i)))
(/.f64 (*.f64 (-.f64 (pow.f64 i #s(literal 6 binary64)) (*.f64 #s(literal 1/16 binary64) (*.f64 i i))) (neg.f64 i)) (*.f64 i (-.f64 (*.f64 i i) #s(literal 1/4 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 3 binary64)) (pow.f64 i #s(literal 9 binary64))) (neg.f64 i)) (fma.f64 (*.f64 #s(literal 1/4 binary64) i) (-.f64 (*.f64 #s(literal 1/4 binary64) i) (pow.f64 i #s(literal 3 binary64))) (pow.f64 i #s(literal 6 binary64))))
(/.f64 (*.f64 (neg.f64 i) (-.f64 (pow.f64 i #s(literal 6 binary64)) (*.f64 #s(literal 1/16 binary64) (*.f64 i i)))) (*.f64 i (-.f64 (*.f64 i i) #s(literal 1/4 binary64))))
(/.f64 (*.f64 (neg.f64 i) (fma.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 3 binary64)) (pow.f64 i #s(literal 9 binary64)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) i) (-.f64 (*.f64 #s(literal 1/4 binary64) i) (pow.f64 i #s(literal 3 binary64))) (pow.f64 i #s(literal 6 binary64))))
(neg.f64 (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) i))
(fma.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64))) i (*.f64 (*.f64 #s(literal 1/4 binary64) i) (neg.f64 i)))
(fma.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64))) i (*.f64 (neg.f64 i) (*.f64 #s(literal 1/4 binary64) i)))
(fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 (*.f64 #s(literal 1/4 binary64) i) (neg.f64 i)))
(fma.f64 (*.f64 (neg.f64 i) i) (*.f64 i i) (*.f64 (neg.f64 i) (*.f64 #s(literal 1/4 binary64) i)))
(fma.f64 (pow.f64 i #s(literal 3 binary64)) (neg.f64 i) (*.f64 (*.f64 #s(literal 1/4 binary64) i) (neg.f64 i)))
(fma.f64 (pow.f64 i #s(literal 3 binary64)) (neg.f64 i) (*.f64 (neg.f64 i) (*.f64 #s(literal 1/4 binary64) i)))
(fma.f64 (neg.f64 i) (pow.f64 i #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) i) (neg.f64 i)))
(fma.f64 (neg.f64 i) (pow.f64 i #s(literal 3 binary64)) (*.f64 (neg.f64 i) (*.f64 #s(literal 1/4 binary64) i)))
(fma.f64 (neg.f64 i) (*.f64 #s(literal 1/4 binary64) i) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 (*.f64 i i) (*.f64 (neg.f64 i) i) (*.f64 (*.f64 #s(literal 1/4 binary64) i) (neg.f64 i)))
(fma.f64 (*.f64 i i) (*.f64 (neg.f64 i) i) (*.f64 (neg.f64 i) (*.f64 #s(literal 1/4 binary64) i)))
(fma.f64 (*.f64 #s(literal 1/4 binary64) i) (neg.f64 i) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(fma.f64 i (neg.f64 (pow.f64 i #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) (neg.f64 i)))
(fma.f64 i (neg.f64 (pow.f64 i #s(literal 3 binary64))) (*.f64 (neg.f64 i) (*.f64 #s(literal 1/4 binary64) i)))
(+.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) i) (neg.f64 i)) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(+.f64 (*.f64 (neg.f64 i) (*.f64 #s(literal 1/4 binary64) i)) (neg.f64 (pow.f64 i #s(literal 4 binary64))))
(+.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) (neg.f64 i)))
(+.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (*.f64 (neg.f64 i) (*.f64 #s(literal 1/4 binary64) i)))
(*.f64 (pow.f64 i #s(literal 1 binary64)) (pow.f64 i #s(literal 1 binary64)))
(*.f64 (neg.f64 (fabs.f64 i)) (neg.f64 (fabs.f64 i)))
(*.f64 (neg.f64 (neg.f64 i)) (neg.f64 (neg.f64 i)))
(*.f64 (fabs.f64 (fabs.f64 i)) (fabs.f64 (fabs.f64 i)))
(*.f64 (fabs.f64 i) (fabs.f64 i))
(*.f64 (neg.f64 i) (neg.f64 i))
(*.f64 i i)
(pow.f64 (fabs.f64 i) #s(literal 2 binary64))
(pow.f64 (neg.f64 i) #s(literal 2 binary64))
(pow.f64 i #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 i) i))
(sqrt.f64 (pow.f64 i #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 i) i))
(fabs.f64 (*.f64 i i))
(exp.f64 (*.f64 (log.f64 i) #s(literal 2 binary64)))
(neg.f64 i)

eval29.0ms (0.6%)

Memory
-13.4MiB live, 30.6MiB allocated
Compiler

Compiled 3 545 to 347 computations (90.2% saved)

prune6.0ms (0.1%)

Memory
20.6MiB live, 20.6MiB allocated
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New88088
Fresh000
Picked011
Done055
Total88694
Accuracy
100.0%
Counts
94 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓69.1%
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
✓55.2%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
✓45.2%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (*.f64 i i) i (*.f64 #s(literal 1/4 binary64) i)) (neg.f64 i)))
✓45.2%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
✓45.0%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
✓55.6%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Compiler

Compiled 517 to 149 computations (71.2% saved)

regimes55.0ms (1.1%)

Memory
-39.0MiB live, 57.8MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.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 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (*.f64 i i) i (*.f64 #s(literal 1/4 binary64) i)) (neg.f64 i)))
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 1 binary64)) i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Outputs
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Calls

2 calls:

46.0ms
(/.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)))
8.0ms
i
Results
AccuracySegmentsBranch
100.0%2i
81.5%2(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Compiler

Compiled 26 to 11 computations (57.7% saved)

regimes3.0ms (0.1%)

Memory
8.2MiB live, 8.2MiB 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 (*.f64 #s(literal -1/4 binary64) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.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 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (*.f64 i i) i (*.f64 #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 (fma.f64 (*.f64 i i) i (*.f64 #s(literal 1/4 binary64) i)) (neg.f64 i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
Calls

1 calls:

2.0ms
i
Results
AccuracySegmentsBranch
99.3%2i
Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory
7.4MiB live, 7.4MiB 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 (*.f64 #s(literal -1/4 binary64) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.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 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
Calls

1 calls:

2.0ms
i
Results
AccuracySegmentsBranch
99.3%2i
Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory
7.6MiB live, 7.6MiB 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 (*.f64 #s(literal -1/4 binary64) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
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
99.2%2i
Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory
4.8MiB live, 4.8MiB 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 (*.f64 #s(literal -1/4 binary64) i) i))
Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Calls

1 calls:

1.0ms
i
Results
AccuracySegmentsBranch
99.0%2i
Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory
6.4MiB live, 6.4MiB 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
55.6%1(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
55.6%1i
Compiler

Compiled 26 to 11 computations (57.7% saved)

bsearch4.0ms (0.1%)

Memory
7.6MiB live, 7.6MiB allocated
Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
3.0ms
22.054525242015757
273758809606.95212
Samples
2.0ms32×0valid
Compiler

Compiled 138 to 74 computations (46.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-mult: 1.0ms (78.9% of total)
ival-sub: 0.0ms (0% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch15.0ms (0.3%)

Memory
-16.7MiB live, 29.1MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
11.0ms
0.08943103413004652
22.054525242015757
Samples
7.0ms112×0valid
Compiler

Compiled 518 to 259 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 3.0ms (67.8% of total)
ival-sub: 1.0ms (22.6% of total)
ival-div: 1.0ms (22.6% 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
4.0MiB live, 4.0MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
0.08943103413004652
22.054525242015757
Compiler

Compiled 504 to 252 computations (50% saved)

bsearch1.0ms (0%)

Memory
3.2MiB live, 3.2MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
0.08943103413004652
22.054525242015757
Compiler

Compiled 462 to 224 computations (51.5% saved)

bsearch1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
0.08943103413004652
22.054525242015757
Compiler

Compiled 434 to 210 computations (51.6% saved)

simplify51.0ms (1%)

Memory
-40.5MiB live, 108.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
046360
190338
2436294
33249294
Stop Event
1×node limit
Calls
Call 1
Inputs
(if (<=.f64 i #s(literal 4000000 binary64)) (/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (*.f64 i i) i (*.f64 #s(literal 1/4 binary64) i)) (neg.f64 i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Outputs
(if (<=.f64 i #s(literal 4000000 binary64)) (/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (*.f64 i i) i (*.f64 #s(literal 1/4 binary64) i)) (neg.f64 i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

soundness1.4s (27.1%)

Memory
22.9MiB live, 557.5MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
064191
1150191
2418179
31601179
44422179
57683179
08257179
034246
050206
1158194
21017134
09922132
050126
195126
2209126
3495126
41135126
51599126
61870126
72048126
82062126
92062126
102062126
112488126
123407126
133413126
143439126
153803126
164501126
175100126
185965126
08014124
024116
034102
114295
0102995
Stop Event
1×done
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 537 to 151 computations (71.9% saved)

preprocess70.0ms (1.3%)

Memory
-17.9MiB live, 69.2MiB allocated
Remove

(abs i)

Compiler

Compiled 888 to 160 computations (82% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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