Octave 3.8, jcobi/4, as called

Time bar (total: 5.6s)

start0.0ms (0%)

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

analyze33.0ms (0.6%)

Memory
-33.5MiB live, 7.5MiB allocated; 13ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
0%0%50%50%0%0%0%1
50%25%25%50%0%0%0%2
50%25%25%50%0%0%0%3
75%37.5%12.5%50%0%0%0%4
87.5%43.7%6.2%50%0%0%0%5
93.8%46.9%3.1%50%0%0%0%6
96.9%48.4%1.6%50%0%0%0%7
98.4%49.2%0.8%50%0%0%0%8
99.2%49.6%0.4%50%0%0%0%9
99.6%49.8%0.2%50%0%0%0%10
99.8%49.9%0.1%50%0%0%0%11
99.9%49.9%0%50%0%0%0%12
Compiler

Compiled 29 to 13 computations (55.2% saved)

sample1.2s (21.2%)

Memory
41.2MiB live, 1 416.4MiB allocated; 277ms collecting garbage
Samples
884.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 572.0ms
ival-mult: 313.0ms (54.7% of total)
ival-div: 121.0ms (21.1% of total)
ival->: 71.0ms (12.4% of total)
ival-sub: 47.0ms (8.2% of total)
exact: 15.0ms (2.6% of total)
ival-assert: 4.0ms (0.7% of total)
adjust: 2.0ms (0.3% of total)
Bogosity

explain997.0ms (17.9%)

Memory
-88.3MiB live, 353.0MiB allocated; 1.3s collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1971(9.443590387730494e-162)1(1.8259233667048401e-78)(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
620-0-(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
00-0-#s(literal 1 binary64)
00-0-(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
00-0-(*.f64 i i)
00-0-(*.f64 (*.f64 i i) (*.f64 i i))
00-0-(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
00-0-i
00-0-#s(literal 2 binary64)
00-0-(*.f64 #s(literal 2 binary64) i)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))u/u650
(*.f64 (*.f64 i i) (*.f64 i i))underflow106
(*.f64 i i)underflow130
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))underflow65
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))o/o620
(*.f64 (*.f64 i i) (*.f64 i i))overflow91
(*.f64 i i)overflow124
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))overflow62
/.f64(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))o/o620
(*.f64 (*.f64 i i) (*.f64 i i))overflow91
(*.f64 i i)overflow124
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))overflow62
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))overflow62
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))overflow62
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))overflow62
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))u/n410
(*.f64 (*.f64 i i) (*.f64 i i))underflow106
(*.f64 i i)underflow130
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))o/n290
(*.f64 (*.f64 i i) (*.f64 i i))overflow91
(*.f64 i i)overflow124
Confusion
Predicted +Predicted -
+1961
-158
Precision
0.9949238578680203
Recall
0.9949238578680203
Confusion?
Predicted +Predicted MaybePredicted -
+19601
-1058
Precision?
0.9949238578680203
Recall?
0.9949238578680203
Freqs
test
numberfreq
059
1135
262
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
60.0ms512×0valid
Compiler

Compiled 173 to 34 computations (80.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-div: 16.0ms (48.7% of total)
ival-mult: 13.0ms (39.6% of total)
ival-sub: 2.0ms (6.1% of total)
exact: 1.0ms (3% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess174.0ms (3.1%)

Memory
8.7MiB live, 234.1MiB allocated; 33ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

(abs i)

Compiler

Compiled 25 to 10 computations (60% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
25.5%
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Compiler

Compiled 25 to 10 computations (60% saved)

simplify126.0ms (2.3%)

Memory
-4.6MiB live, 231.0MiB allocated; 24ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize55.0ms (1%)

Memory
-32.7MiB live, 65.0MiB allocated; 13ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 #s(literal 2 binary64) i)
accuracy0.10546875
(*.f64 (*.f64 i i) (*.f64 i i))
accuracy15.021063347142775
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
accuracy44.15234392489861
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
Samples
26.0ms256×0valid
Compiler

Compiled 74 to 12 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 6.0ms (56.7% of total)
ival-div: 3.0ms (28.3% of total)
ival-sub: 1.0ms (9.4% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
11.6MiB live, 11.6MiB allocated; 0ms collecting garbage
Counts
6 → 15
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
(*.f64 (*.f64 i i) (*.f64 i i))
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) i)
Outputs
(* 1/4 (pow i 2))
(pow i 4)
(* 4 (pow i 2))
-1
(- (* 4 (pow i 2)) 1)
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(* 2 i)
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
Calls

3 calls:

TimeVariablePointExpression
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))

simplify212.0ms (3.8%)

Memory
14.3MiB live, 201.0MiB allocated; 62ms collecting garbage
Algorithm
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
iter limit
node limit
Counts
15 → 15
Calls
Call 1
Inputs
(* 1/4 (pow i 2))
(pow i 4)
(* 4 (pow i 2))
-1
(- (* 4 (pow i 2)) 1)
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(* 2 i)
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
Outputs
(* 1/4 (pow i 2))
(*.f64 (*.f64 #s(literal 1/4 binary64) i) i)
(pow i 4)
(pow.f64 i #s(literal 4 binary64))
(* 4 (pow i 2))
(*.f64 (*.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)))))

rewrite56.0ms (1%)

Memory
-8.8MiB live, 135.0MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01066
01750
17944
066142
Stop Event
iter limit
iter limit
node limit
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))))
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(+.f64 i i)

eval22.0ms (0.4%)

Memory
13.7MiB live, 58.2MiB allocated; 4ms collecting garbage
Compiler

Compiled 5 966 to 690 computations (88.4% saved)

prune8.0ms (0.1%)

Memory
-20.9MiB live, 25.3MiB allocated; 3ms collecting garbage
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New2267233
Fresh000
Picked101
Done000
Total2277234
Accuracy
100.0%
Counts
234 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
25.4%
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 i i) (neg.f64 i)) (neg.f64 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)))
75.8%
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
47.5%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
53.2%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (-.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)))
53.2%
#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)))
52.8%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
47.9%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Compiler

Compiled 456 to 218 computations (52.2% saved)

simplify134.0ms (2.4%)

Memory
68.4MiB live, 283.9MiB allocated; 57ms collecting garbage
Algorithm
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
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))
(*.f64 (*.f64 #s(literal 1/4 binary64) i) i)
(*.f64 #s(literal 1/4 binary64) i)
#s(literal 1/4 binary64)
i
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(*.f64 #s(literal 2 binary64) i)
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(literal 1/16 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
(*.f64 (*.f64 #s(literal -1/4 binary64) i) i)
(*.f64 #s(literal -1/4 binary64) i)
#s(literal -1/4 binary64)
i
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.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)

localize184.0ms (3.3%)

Memory
-51.0MiB live, 148.7MiB allocated; 30ms collecting garbage
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(neg.f64 i)
accuracy0.00390625
(-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64))
accuracy0.06640625
(*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i))
accuracy29.950748883028094
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (-.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)
accuracy0.47726472661995273
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
accuracy33.628133328973206
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
accuracy0.0
(*.f64 (*.f64 #s(literal -1/4 binary64) i) i)
accuracy0.0
(*.f64 #s(literal -1/4 binary64) i)
accuracy30.197205056907904
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
accuracy33.361828590424274
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
accuracy0.0
(*.f64 #s(literal 2 binary64) i)
accuracy0.0
(*.f64 #s(literal 1/4 binary64) i)
accuracy0.0
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))
accuracy15.021063347142775
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Samples
64.0ms256×0valid
Compiler

Compiled 229 to 26 computations (88.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-mult: 18.0ms (41.8% of total)
ival-sub: 16.0ms (37.2% of total)
ival-div: 5.0ms (11.6% of total)
ival-add: 1.0ms (2.3% of total)
exact: 1.0ms (2.3% of total)
ival-neg: 1.0ms (2.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series9.0ms (0.2%)

Memory
15.6MiB live, 15.6MiB allocated; 0ms collecting garbage
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
@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))
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))
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))

simplify119.0ms (2.1%)

Memory
-2.5MiB live, 127.7MiB allocated; 50ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
064191
1150191
2418179
31601179
44422179
57683179
08257179
Stop Event
iter limit
node limit
Counts
26 → 26
Calls
Call 1
Inputs
(* 4 (pow i 2))
-1
(- (* 4 (pow i 2)) 1)
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(* 1/4 (pow i 2))
(* -1/4 i)
(/ 1/64 (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))

rewrite187.0ms (3.4%)

Memory
-5.3MiB live, 265.3MiB allocated; 37ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034246
050206
1158194
21017134
09922132
Stop Event
iter limit
node limit
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)))
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(fma.f64 (*.f64 i i) #s(literal 16 binary64) (*.f64 (-.f64 i #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) i)))
(fma.f64 (*.f64 i i) #s(literal 16 binary64) (*.f64 (*.f64 #s(literal -2 binary64) i) (+.f64 i #s(literal 1 binary64))))
(fma.f64 (*.f64 i i) #s(literal 16 binary64) (*.f64 (*.f64 #s(literal -2 binary64) i) (-.f64 i #s(literal 1 binary64))))
(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 i #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) i)))
(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) (*.f64 #s(literal -2 binary64) i) (*.f64 #s(literal -2 binary64) i))
(fma.f64 (*.f64 i i) i (pow.f64 i #s(literal 3 binary64)))
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(-.f64 (*.f64 #s(literal -2 binary64) i) (*.f64 #s(literal -2 binary64) i))
(fabs.f64 (*.f64 #s(literal -2 binary64) i))
(hypot.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)))
(hypot.f64 (pow.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 3/4 binary64)) (*.f64 #s(literal -2 binary64) i))
(hypot.f64 (pow.f64 i #s(literal 1/2 binary64)) (pow.f64 i #s(literal 1/2 binary64)))
(hypot.f64 (pow.f64 i #s(literal 1/2 binary64)) (sqrt.f64 (neg.f64 i)))
(hypot.f64 (pow.f64 i #s(literal 1/2 binary64)) (sqrt.f64 i))
(hypot.f64 (sqrt.f64 (*.f64 (neg.f64 i) i)) (sqrt.f64 (*.f64 (neg.f64 i) i)))
(hypot.f64 (sqrt.f64 (*.f64 (neg.f64 i) i)) (exp.f64 (log.f64 i)))
(hypot.f64 (sqrt.f64 (*.f64 (neg.f64 i) i)) (neg.f64 i))
(hypot.f64 (sqrt.f64 (*.f64 (neg.f64 i) i)) i)
(hypot.f64 (sqrt.f64 (neg.f64 i)) (pow.f64 i #s(literal 1/2 binary64)))
(hypot.f64 (sqrt.f64 (neg.f64 i)) (sqrt.f64 (neg.f64 i)))
(hypot.f64 (sqrt.f64 (neg.f64 i)) (sqrt.f64 i))
(hypot.f64 (sqrt.f64 i) (pow.f64 i #s(literal 1/2 binary64)))
(hypot.f64 (sqrt.f64 i) (sqrt.f64 (neg.f64 i)))
(hypot.f64 (sqrt.f64 i) (sqrt.f64 i))
(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)

eval259.0ms (4.7%)

Memory
-9.4MiB live, 364.5MiB allocated; 65ms collecting garbage
Compiler

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

prune38.0ms (0.7%)

Memory
-9.6MiB live, 106.2MiB allocated; 17ms collecting garbage
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1 71131 714
Fresh202
Picked235
Done000
Total1 71561 721
Accuracy
100.0%
Counts
1 721 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.8%
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
47.5%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
53.2%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
52.8%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
53.2%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 i i)))
47.9%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Compiler

Compiled 196 to 94 computations (52% saved)

simplify112.0ms (2%)

Memory
19.6MiB live, 162.2MiB allocated; 15ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

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

Useful iterations: 2 (0.0ms)

IterNodesCost
032208
044196
1102186
2533162
33707162
09239162
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 i i)))
(*.f64 #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 i i))
#s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
#s(literal -1/4 binary64)
(*.f64 i i)
i
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
(*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)
(fma.f64 i i #s(literal 1/4 binary64))
i
#s(literal 1/4 binary64)
(neg.f64 i)
(/.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 #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 i i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(approx (- (* (neg i) i) 1/4) (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64))) (*.f64 i i)))
(*.f64 #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 i i))
(*.f64 #s(approx (- (* (neg i) i) 1/4) (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64))) (*.f64 i i))
#s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
#s(approx (- (* (neg i) i) 1/4) (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(fma.f64 (neg.f64 i) i #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(*.f64 i i)
i
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (*.f64 i i)))
(*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
(*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (*.f64 i i))
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)
(fma.f64 i i #s(literal 1/4 binary64))
i
#s(literal 1/4 binary64)
(neg.f64 i)
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (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
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))
(*.f64 i i)
#s(literal 4 binary64)
#s(literal -1 binary64)

localize106.0ms (1.9%)

Memory
-7.2MiB live, 84.9MiB allocated; 4ms collecting garbage
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 i i)
accuracy0.0
(*.f64 #s(literal 1/4 binary64) i)
accuracy0.0
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))
accuracy15.021063347142775
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
accuracy0.0
(neg.f64 i)
accuracy0.03125
(*.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))
accuracy29.950748883028094
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
accuracy0.0
#s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
accuracy0.00390625
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
accuracy0.06640625
(*.f64 #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 i i))
accuracy29.950748883028094
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 i i)))
Samples
65.0ms256×0valid
Compiler

Compiled 164 to 29 computations (82.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-mult: 42.0ms (78.1% of total)
ival-div: 4.0ms (7.4% of total)
ival-sub: 3.0ms (5.6% of total)
ival-add: 2.0ms (3.7% of total)
exact: 1.0ms (1.9% of total)
ival-neg: 1.0ms (1.9% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
12.9MiB live, 12.9MiB allocated; 0ms collecting garbage
Counts
14 → 24
Calls
Call 1
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 i i)))
(*.f64 #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 i i))
#s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
(*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)
(fma.f64 i i #s(literal 1/4 binary64))
(/.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
(- (* -1 (pow i 2)) 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))))))
(* -1 (pow i 2))
(* -1 (* (pow i 2) (+ 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
2.0ms
i
@inf
((/ (/ (* (* 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) (- -1/4 (* i i)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* (+ (* i i) 1/4) i) (neg i)) (* (+ (* i i) 1/4) i) (+ (* i i) 1/4) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ (* (* 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)) (* (- (* (neg i) i) 1/4) (* i i)) (- (* (neg i) i) 1/4) (- -1/4 (* i i)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* (+ (* i i) 1/4) i) (neg i)) (* (+ (* i i) 1/4) i) (+ (* i i) 1/4) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ (* (* 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)) (* (- (* (neg i) i) 1/4) (* i i)) (- (* (neg i) i) 1/4) (- -1/4 (* i i)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* (+ (* i i) 1/4) i) (neg i)) (* (+ (* i i) 1/4) i) (+ (* i i) 1/4) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ (* (* i i) 4) -1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* 1/4 i) i) (* 1/4 i) (neg i) (* i i))

simplify79.0ms (1.4%)

Memory
-15.2MiB live, 82.7MiB allocated; 14ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059167
1145167
2424163
31489163
44679163
08231159
Stop Event
iter limit
node limit
Counts
24 → 24
Calls
Call 1
Inputs
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
-1/4
(- (* -1 (pow i 2)) 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))))))
(* -1 (pow i 2))
(* -1 (* (pow i 2) (+ 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 #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
#s(literal -1/4 binary64)
(- (* -1 (pow i 2)) 1/4)
(-.f64 #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))
(* -1 (pow i 2))
(*.f64 (neg.f64 i) i)
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(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))

rewrite57.0ms (1%)

Memory
-4.7MiB live, 85.0MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032191
044171
1180161
01239161
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
14 → 107
Calls
Call 1
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 i i)))
(*.f64 #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 i i))
#s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
(*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)
(fma.f64 i i #s(literal 1/4 binary64))
(/.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 #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 i i)))
(*.f64 (*.f64 #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (fabs.f64 i)) (fabs.f64 i))
(*.f64 (*.f64 #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (neg.f64 i)) (neg.f64 i))
(*.f64 (*.f64 #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) i) i)
(*.f64 (fabs.f64 i) (*.f64 (fabs.f64 i) #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))))
(*.f64 (neg.f64 i) (*.f64 (neg.f64 i) #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))))
(*.f64 #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 i i))
(*.f64 (*.f64 i i) #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(*.f64 i (*.f64 #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) i))
#s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(/.f64 (+.f64 #s(literal -1/64 binary64) (neg.f64 (pow.f64 i #s(literal 6 binary64)))) (+.f64 #s(literal 1/16 binary64) (-.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 (neg.f64 i) i)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64)))) (neg.f64 (fma.f64 i i #s(literal -1/4 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal -1/64 binary64) (pow.f64 i #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64))))
(/.f64 (-.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64))) (fma.f64 i i #s(literal -1/4 binary64)))
(/.f64 (-.f64 #s(literal -1/64 binary64) (pow.f64 i #s(literal 6 binary64))) (fma.f64 (*.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64)))
(fma.f64 (neg.f64 (fabs.f64 i)) (fabs.f64 i) #s(literal -1/4 binary64))
(fma.f64 (neg.f64 (neg.f64 i)) (neg.f64 i) #s(literal -1/4 binary64))
(fma.f64 (fabs.f64 i) (neg.f64 (fabs.f64 i)) #s(literal -1/4 binary64))
(fma.f64 (neg.f64 i) (neg.f64 (neg.f64 i)) #s(literal -1/4 binary64))
(fma.f64 (neg.f64 i) i #s(literal -1/4 binary64))
(fma.f64 i (neg.f64 i) #s(literal -1/4 binary64))
(-.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 i i #s(literal -1/4 binary64))) (/.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 i i #s(literal -1/4 binary64))))
(-.f64 (/.f64 #s(literal -1/64 binary64) (fma.f64 (*.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64))) (/.f64 (pow.f64 i #s(literal 6 binary64)) (fma.f64 (*.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64))))
(-.f64 #s(literal -1/4 binary64) (*.f64 (neg.f64 (neg.f64 i)) i))
(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
(+.f64 #s(literal -1/4 binary64) (*.f64 (neg.f64 i) i))
(+.f64 (*.f64 (neg.f64 i) i) #s(literal -1/4 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (neg.f64 i) (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)))
(*.f64 (*.f64 (neg.f64 i) (fma.f64 i i #s(literal 1/4 binary64))) i)
(*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (neg.f64 i)) i)
(*.f64 (neg.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)) i)
(*.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 (*.f64 (neg.f64 i) i) (fma.f64 i i #s(literal 1/4 binary64)))
(*.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 (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 (*.f64 (neg.f64 i) i) (neg.f64 i) (*.f64 #s(literal 1/4 binary64) i))
(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 (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 (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 (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 (-.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 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))) (fma.f64 (*.f64 i i) (fma.f64 i i #s(literal -1/4 binary64)) #s(literal 1/16 binary64)))
(/.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 (*.f64 i i) #s(literal 1/4 binary64))
(+.f64 #s(literal 1/4 binary64) (*.f64 i i))
(*.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 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
(neg.f64 (/.f64 (neg.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(neg.f64 (/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))
(*.f64 (*.f64 #s(literal 1/4 binary64) (fabs.f64 i)) (fabs.f64 i))
(*.f64 (*.f64 #s(literal 1/4 binary64) (neg.f64 i)) (neg.f64 i))
(*.f64 (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 (*.f64 i i) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(*.f64 i (*.f64 #s(literal 1/4 binary64) i))
(*.f64 #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 i i))
(fabs.f64 (*.f64 (neg.f64 i) i))
(exp.f64 (*.f64 (log.f64 i) #s(literal 2 binary64)))

eval16.0ms (0.3%)

Memory
29.0MiB live, 29.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 6 225 to 569 computations (90.9% saved)

prune18.0ms (0.3%)

Memory
-30.9MiB live, 15.6MiB allocated; 4ms collecting garbage
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New1580158
Fresh000
Picked033
Done033
Total1586164
Accuracy
100.0%
Counts
164 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.8%
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
47.5%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
53.2%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
52.8%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
53.2%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 i i)))
47.9%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Compiler

Compiled 554 to 161 computations (70.9% saved)

regimes7.0ms (0.1%)

Memory
11.7MiB live, 11.7MiB allocated; 0ms collecting garbage
Counts
11 → 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 #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 i i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
#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)))
(/.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)))
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 i i) (neg.f64 i)) (neg.f64 i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Outputs
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Calls

2 calls:

3.0ms
i
3.0ms
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
75.8%1(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
100.0%2i
Compiler

Compiled 26 to 11 computations (57.7% saved)

regimes3.0ms (0%)

Memory
3.8MiB live, 3.8MiB allocated; 0ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 i i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
#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
99.5%2i
Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory
3.0MiB live, 3.0MiB allocated; 0ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 i i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
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
99.3%2i
Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory
3.0MiB live, 3.0MiB allocated; 0ms collecting garbage
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 #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 i i)))
Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 i i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Calls

1 calls:

1.0ms
i
Results
AccuracySegmentsBranch
99.2%2i
Compiler

Compiled 1 to 1 computations (0% saved)

regimes1.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated; 0ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Calls

1 calls:

1.0ms
i
Results
AccuracySegmentsBranch
98.8%2i
Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory
3.9MiB live, 3.9MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

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

Compiled 26 to 11 computations (57.7% saved)

bsearch2.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
2.0ms
42352732.720209934
4439867559.950865
Samples
1.0ms16×0valid
Compiler

Compiled 83 to 44 computations (47% saved)

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

bsearch31.0ms (0.6%)

Memory
-33.0MiB live, 24.2MiB allocated; 8ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
0.16230608387369416
3.1969163666078955
Samples
7.0ms112×0valid
Compiler

Compiled 504 to 252 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (45.3% of total)
ival-sub: 1.0ms (22.7% of total)
ival-div: 1.0ms (22.7% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.16230608387369416
3.1969163666078955
Compiler

Compiled 462 to 224 computations (51.5% saved)

bsearch1.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.16230608387369416
3.1969163666078955
Compiler

Compiled 511 to 252 computations (50.7% saved)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.16230608387369416
3.1969163666078955
Compiler

Compiled 434 to 210 computations (51.6% saved)

simplify81.0ms (1.4%)

Memory
5.1MiB live, 49.8MiB allocated; 5ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
050359
198337
2443293
33246293
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 i #s(literal 50000000 binary64)) (/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 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 #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 i i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Outputs
(if (<=.f64 i #s(literal 50000000 binary64)) (/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 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 #s(approx (- (* (neg i) i) 1/4) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 i i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(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))

derivations1.2s (21.5%)

Memory
-18.3MiB live, 517.6MiB allocated; 73ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 359 to 51 computations (85.8% saved)

preprocess37.0ms (0.7%)

Memory
13.8MiB live, 57.6MiB allocated; 6ms collecting garbage
Remove

(abs i)

Compiler

Compiled 886 to 170 computations (80.8% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...