Octave 3.8, jcobi/4, as called

Time bar (total: 5.6s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze3.0ms (0.1%)

Memory
4.5MiB live, 4.5MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
0%0%50%50%0%0%0%1
50%25%25%50%0%0%0%2
50%25%25%50%0%0%0%3
75%37.5%12.5%50%0%0%0%4
87.5%43.7%6.2%50%0%0%0%5
93.8%46.9%3.1%50%0%0%0%6
96.9%48.4%1.6%50%0%0%0%7
98.4%49.2%0.8%50%0%0%0%8
99.2%49.6%0.4%50%0%0%0%9
99.6%49.8%0.2%50%0%0%0%10
99.8%49.9%0.1%50%0%0%0%11
99.9%49.9%0%50%0%0%0%12
Compiler

Compiled 29 to 13 computations (55.2% saved)

sample1.3s (22.2%)

Memory
11.6MiB live, 1 029.1MiB allocated
Samples
868.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 521.0ms
ival-mult: 303.0ms (58.1% of total)
ival-div: 90.0ms (17.3% of total)
ival-sub: 75.0ms (14.4% of total)
ival->: 36.0ms (6.9% of total)
exact: 13.0ms (2.5% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

explain230.0ms (4.1%)

Memory
-45.8MiB live, 182.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1850-0-(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
660-0-(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
00-0-#s(literal 1 binary64)
00-0-(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
00-0-(*.f64 i i)
00-0-(*.f64 (*.f64 i i) (*.f64 i i))
00-0-(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
00-0-i
00-0-#s(literal 2 binary64)
00-0-(*.f64 #s(literal 2 binary64) i)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))o/o660
↳(*.f64 (*.f64 i i) (*.f64 i i))overflow94
↳(*.f64 i i)overflow132
↳(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))overflow66
/.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/o660
↳(*.f64 (*.f64 i i) (*.f64 i i))overflow94
↳(*.f64 i i)overflow132
↳(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))overflow66
↳(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))overflow66
↳(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))overflow66
↳(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))overflow66
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))u/u570
↳(*.f64 (*.f64 i i) (*.f64 i i))underflow91
↳(*.f64 i i)underflow114
↳(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))underflow57
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))u/n340
↳(*.f64 (*.f64 i i) (*.f64 i i))underflow91
↳(*.f64 i i)underflow114
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))o/n280
↳(*.f64 (*.f64 i i) (*.f64 i i))overflow94
↳(*.f64 i i)overflow132
Confusion
Predicted +Predicted -
+1850
-071
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+18500
-0071
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
071
1119
266
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
34.0ms512×0valid
Compiler

Compiled 245 to 44 computations (82% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 12.0ms (58.1% of total)
ival-div: 6.0ms (29% of total)
ival-sub: 2.0ms (9.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess157.0ms (2.8%)

Memory
9.7MiB live, 211.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

(abs i)

Compiler

Compiled 25 to 10 computations (60% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶29.8%
(/.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)

simplify107.0ms (1.9%)

Memory
26.2MiB live, 180.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize27.0ms (0.5%)

Memory
-19.9MiB live, 56.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 #s(literal 2 binary64) i)
accuracy0.125
(*.f64 (*.f64 i i) (*.f64 i i))
accuracy15.989912192119728
(/.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)))
accuracy41.254530055471164
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
Samples
18.0ms256×0valid
Compiler

Compiled 146 to 22 computations (84.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 6.0ms (51.4% of total)
ival-div: 4.0ms (34.2% of total)
ival-sub: 1.0ms (8.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
13.2MiB live, 13.2MiB allocated
Counts
6 → 15
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
(*.f64 (*.f64 i i) (*.f64 i i))
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) i)
Outputs
(* 1/4 (pow i 2))
(pow i 4)
(* 4 (pow i 2))
-1
(- (* 4 (pow i 2)) 1)
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(* 2 i)
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
Calls

3 calls:

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

simplify192.0ms (3.4%)

Memory
-8.8MiB live, 181.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite175.0ms (3.1%)

Memory
0.0MiB live, 87.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

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

eval25.0ms (0.4%)

Memory
4.1MiB live, 40.6MiB allocated
Compiler

Compiled 5 966 to 690 computations (88.4% saved)

prune7.0ms (0.1%)

Memory
17.5MiB live, 17.5MiB allocated
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
29.8%
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
▶74.2%
(/.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)))
▶51.1%
#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)))
49.6%
#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)))
▶49.6%
#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)))
▶49.3%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
▶50.9%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Compiler

Compiled 446 to 216 computations (51.6% saved)

simplify115.0ms (2%)

Memory
-22.2MiB live, 168.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
034266
050240
1102228
2457192
33214192
08887186
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))
(*.f64 (*.f64 #s(literal 1/4 binary64) i) i)
(*.f64 #s(literal 1/4 binary64) i)
#s(literal 1/4 binary64)
i
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(*.f64 #s(literal 2 binary64) i)
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(literal 1/16 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
(*.f64 (*.f64 #s(literal -1/4 binary64) i) i)
(*.f64 #s(literal -1/4 binary64) i)
#s(literal -1/4 binary64)
i
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
#s(literal 1/64 binary64)
(*.f64 i i)
i
#s(literal 1/16 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
(*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i))
(-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64))
(*.f64 (neg.f64 i) i)
(neg.f64 i)
i
#s(literal 1/4 binary64)
(*.f64 i i)
Outputs
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))
(*.f64 (*.f64 #s(literal 1/4 binary64) i) i)
(*.f64 #s(literal 1/4 binary64) i)
#s(literal 1/4 binary64)
i
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(*.f64 (*.f64 #s(literal 4 binary64) i) i)
(*.f64 #s(literal 2 binary64) i)
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(literal 1/16 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
(*.f64 (*.f64 #s(literal -1/4 binary64) i) i)
(*.f64 #s(literal -1/4 binary64) i)
#s(literal -1/4 binary64)
i
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
#s(literal 1/64 binary64)
(*.f64 i i)
i
#s(literal 1/16 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) i) i))
(*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i))
(*.f64 (*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) i) i)
(-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64))
(*.f64 (neg.f64 i) i)
(neg.f64 i)
i
#s(literal 1/4 binary64)
(*.f64 i i)

localize93.0ms (1.7%)

Memory
-1.1MiB live, 82.1MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 i i)
accuracy0.0
(neg.f64 i)
accuracy0.08203125
(*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i))
accuracy32.26526024940074
#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)
accuracy0.2756630899621503
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
accuracy31.324831513756823
#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)
accuracy32.43633223870845
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
accuracy31.439810911951948
#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))
accuracy15.989912192119728
(/.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
48.0ms256×0valid
Compiler

Compiled 495 to 62 computations (87.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 14.0ms (58.4% of total)
ival-div: 4.0ms (16.7% of total)
ival-sub: 2.0ms (8.3% of total)
ival-add: 1.0ms (4.2% of total)
exact: 1.0ms (4.2% of total)
ival-neg: 1.0ms (4.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.2%)

Memory
16.9MiB live, 16.9MiB allocated
Counts
19 → 26
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
(*.f64 (*.f64 #s(literal -1/4 binary64) i) i)
(*.f64 #s(literal -1/4 binary64) i)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(*.f64 i i)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
(*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i))
(-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64))
(*.f64 (neg.f64 i) i)
(*.f64 #s(literal 1/4 binary64) i)
(*.f64 #s(literal 2 binary64) i)
(neg.f64 i)
Outputs
(* 4 (pow i 2))
-1
(- (* 4 (pow i 2)) 1)
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(* 1/4 (pow i 2))
(* -1/4 i)
(/ 1/64 (pow i 2))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(pow i 2)
-1/4
(- (* -1 (pow i 2)) 1/4)
(* -1 (pow i 2))
(* 1/4 i)
(* 2 i)
(* -1 i)
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
Calls

3 calls:

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

simplify85.0ms (1.5%)

Memory
22.1MiB live, 93.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

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

rewrite191.0ms (3.4%)

Memory
-33.2MiB live, 207.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

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

eval335.0ms (5.9%)

Memory
-52.7MiB live, 434.0MiB allocated
Compiler

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

prune160.0ms (2.8%)

Memory
-27.5MiB live, 103.1MiB allocated
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
▶74.2%
(/.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)))
▶73.1%
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) #s(approx (- (* (* 2 i) (* 2 i)) 1) (*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))) i) i)))
✓51.1%
#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)))
▶49.6%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
✓49.3%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
✓50.9%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Compiler

Compiled 197 to 96 computations (51.3% saved)

simplify122.0ms (2.2%)

Memory
1.3MiB live, 151.7MiB allocated
Algorithm
1×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
(*.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)) #s(approx (- (* (* 2 i) (* 2 i)) 1) (*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))) i) i)))
cost-diff0
(fma.f64 i i #s(literal 1/4 binary64))
cost-diff0
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)
cost-diff0
(*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
cost-diff0
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030260
045244
1102231
2528201
33702201
09233201
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
(*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)
(fma.f64 i i #s(literal 1/4 binary64))
i
#s(literal 1/4 binary64)
(neg.f64 i)
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) #s(approx (- (* (* 2 i) (* 2 i)) 1) (*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))) i) i)))
#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
#s(approx (- (* (* 2 i) (* 2 i)) 1) (*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))) i) i))
(*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))) i) i)
(*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))) i)
(-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i)))
#s(literal 4 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 i i))
#s(literal 1 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))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))
(*.f64 (*.f64 #s(literal 1/4 binary64) i) i)
(*.f64 #s(literal 1/4 binary64) i)
#s(literal 1/4 binary64)
i
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
(*.f64 i i)
#s(literal 4 binary64)
#s(literal -1 binary64)
Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (*.f64 i i)))
(*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
(*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (*.f64 i i))
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)
(fma.f64 i i #s(literal 1/4 binary64))
i
#s(literal 1/4 binary64)
(neg.f64 i)
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) #s(approx (- (* (* 2 i) (* 2 i)) 1) (*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))) i) i)))
#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
#s(approx (- (* (* 2 i) (* 2 i)) 1) (*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))) i) i))
(*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))) i) i)
(*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))) i)
(-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i)))
#s(literal 4 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 i i))
#s(literal 1 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)))
(/.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)

localize120.0ms (2.1%)

Memory
-9.1MiB live, 115.2MiB allocated
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))
accuracy15.989912192119728
(/.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)))
accuracy0.10546875
(*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))) i) i)
accuracy0.2881654381790647
(/.f64 #s(literal 1 binary64) (*.f64 i i))
accuracy14.497554084702077
(*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))) i)
accuracy15.989912192119728
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) #s(approx (- (* (* 2 i) (* 2 i)) 1) (*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))) i) i)))
accuracy0.0
(neg.f64 i)
accuracy0.03125
(*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
accuracy0.0703125
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)
accuracy32.26526024940074
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
Samples
76.0ms256×0valid
Compiler

Compiled 469 to 59 computations (87.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-mult: 26.0ms (43.9% of total)
ival-sub: 23.0ms (38.8% of total)
ival-div: 6.0ms (10.1% of total)
ival-add: 2.0ms (3.4% of total)
exact: 1.0ms (1.7% of total)
ival-neg: 1.0ms (1.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
14.6MiB live, 14.6MiB allocated
Counts
14 → 30
Calls
Call 1
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
(*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)
(fma.f64 i i #s(literal 1/4 binary64))
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) #s(approx (- (* (* 2 i) (* 2 i)) 1) (*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))) i) i)))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))
(*.f64 (*.f64 #s(literal 1/4 binary64) i) i)
(*.f64 #s(literal 1/4 binary64) i)
(/.f64 #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)))
(neg.f64 i)
(*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))) i)
(/.f64 #s(literal 1 binary64) (*.f64 i i))
(*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))) i) i)
(*.f64 i i)
Outputs
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(* 1/4 i)
(* i (+ 1/4 (pow i 2)))
1/4
(+ 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* -1 i)
(/ -1 i)
(/ (- (* 4 (pow i 2)) 1) i)
(/ 1 (pow i 2))
-1
(- (* 4 (pow i 2)) 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))))))
(pow i 3)
(* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(* 4 i)
(* i (- 4 (/ 1 (pow i 2))))
(* 4 (pow i 2))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* -1 (* i (- (/ 1 (pow i 2)) 4)))
Calls

3 calls:

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

simplify86.0ms (1.5%)

Memory
-6.6MiB live, 111.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069215
1163215
2421214
31433212
44701209
08223204
Stop Event
1×iter limit
1×node limit
Counts
30 → 30
Calls
Call 1
Inputs
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(* 1/4 i)
(* i (+ 1/4 (pow i 2)))
1/4
(+ 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* -1 i)
(/ -1 i)
(/ (- (* 4 (pow i 2)) 1) i)
(/ 1 (pow i 2))
-1
(- (* 4 (pow i 2)) 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))))))
(pow i 3)
(* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(* 4 i)
(* i (- 4 (/ 1 (pow i 2))))
(* 4 (pow i 2))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(* -1 (* i (- (/ 1 (pow i 2)) 4)))
Outputs
(* -1/4 (pow i 2))
(*.f64 (*.f64 #s(literal -1/4 binary64) i) i)
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 1 binary64)) i) i) #s(literal 1/4 binary64)) (*.f64 i i))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -16 binary64) (*.f64 i i)) #s(literal 4 binary64)) i) i) #s(literal 1 binary64)) (*.f64 i i)) #s(literal 1/4 binary64)) (*.f64 i i))
(* 1/4 i)
(*.f64 #s(literal 1/4 binary64) i)
(* i (+ 1/4 (pow i 2)))
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)
1/4
#s(literal 1/4 binary64)
(+ 1/4 (pow i 2))
(fma.f64 i i #s(literal 1/4 binary64))
(* 1/4 (pow i 2))
(*.f64 (*.f64 #s(literal 1/4 binary64) i) i)
(* -1 i)
(neg.f64 i)
(/ -1 i)
(/.f64 #s(literal -1 binary64) i)
(/ (- (* 4 (pow i 2)) 1) i)
(fma.f64 #s(literal 4 binary64) i (/.f64 #s(literal -1 binary64) i))
(/ 1 (pow i 2))
(/.f64 #s(literal 1 binary64) (*.f64 i i))
-1
#s(literal -1 binary64)
(- (* 4 (pow i 2)) 1)
(-.f64 (*.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal 1 binary64))
(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))))))
(neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) i) i (pow.f64 i #s(literal 4 binary64))))
(pow i 3)
(pow.f64 i #s(literal 3 binary64))
(* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)
(* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
(fma.f64 i i #s(literal 1/4 binary64))
(* 4 i)
(*.f64 #s(literal 4 binary64) i)
(* i (- 4 (/ 1 (pow i 2))))
(*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))) i)
(* 4 (pow i 2))
(*.f64 #s(literal 4 binary64) (*.f64 i i))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))) i) i)
(* -1 (* i (- (/ 1 (pow i 2)) 4)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) #s(literal 4 binary64)) (neg.f64 i))

rewrite59.0ms (1%)

Memory
26.3MiB live, 65.3MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030184
045164
1177146
01234146
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
14 → 112
Calls
Call 1
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
(*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)
(fma.f64 i i #s(literal 1/4 binary64))
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) #s(approx (- (* (* 2 i) (* 2 i)) 1) (*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))) i) i)))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i))
(*.f64 (*.f64 #s(literal 1/4 binary64) i) i)
(*.f64 #s(literal 1/4 binary64) i)
(/.f64 #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)))
(neg.f64 i)
(*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))) i)
(/.f64 #s(literal 1 binary64) (*.f64 i i))
(*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))) i) i)
(*.f64 i i)
Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (neg.f64 i) i) (fma.f64 i i #s(literal 1/4 binary64))))
(*.f64 (*.f64 (neg.f64 i) (fma.f64 i i #s(literal 1/4 binary64))) i)
(*.f64 (neg.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)) i)
(*.f64 (*.f64 (neg.f64 i) i) (fma.f64 i i #s(literal 1/4 binary64)))
(*.f64 (neg.f64 i) (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i))
(*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i))
(*.f64 i (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (neg.f64 i)))
(/.f64 (*.f64 (-.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (neg.f64 i) i)) (-.f64 (*.f64 i i) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 6 binary64))) (*.f64 (neg.f64 i) i)) (-.f64 (+.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 i i) #s(literal 1/4 binary64))))
(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 i i) #s(literal 1/4 binary64))))
(/.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 i i) #s(literal 1/4 binary64))))
(fma.f64 (*.f64 i (fabs.f64 i)) (fabs.f64 i) (*.f64 #s(literal 1/4 binary64) i))
(fma.f64 (*.f64 (neg.f64 i) i) (neg.f64 i) (*.f64 #s(literal 1/4 binary64) i))
(fma.f64 (fabs.f64 i) (*.f64 (fabs.f64 i) i) (*.f64 #s(literal 1/4 binary64) i))
(fma.f64 (*.f64 i i) i (*.f64 #s(literal 1/4 binary64) i))
(fma.f64 (neg.f64 i) (*.f64 (neg.f64 i) i) (*.f64 #s(literal 1/4 binary64) i))
(fma.f64 #s(literal 1/4 binary64) i (pow.f64 i #s(literal 3 binary64)))
(fma.f64 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 (-.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 i i)))
(/.f64 (neg.f64 (-.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64))) (neg.f64 (-.f64 (*.f64 i i) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 6 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 i i) #s(literal 1/4 binary64)))))
(/.f64 (-.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)) (-.f64 (*.f64 i i) #s(literal 1/4 binary64)))
(/.f64 (+.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 6 binary64))) (+.f64 #s(literal 1/16 binary64) (-.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.f64 i i) #s(literal 1/4 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 i i) #s(literal 1/4 binary64))))
(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 i i) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/64 binary64) (-.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 i i) #s(literal 1/4 binary64))
(+.f64 #s(literal 1/4 binary64) (*.f64 i i))
(/.f64 (neg.f64 (neg.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 i i) #s(literal 1/4 binary64))))) (neg.f64 (neg.f64 #s(approx (- (* (* 2 i) (* 2 i)) 1) (*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64))) i) i)))))
(/.f64 (neg.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 i i) #s(literal 1/4 binary64)))) (neg.f64 #s(approx (- (* (* 2 i) (* 2 i)) 1) (*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64))) i) i))))
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 i i) #s(literal 1/4 binary64))) #s(approx (- (* (* 2 i) (* 2 i)) 1) (*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64))) i) i)))
(neg.f64 (/.f64 (neg.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 i i) #s(literal 1/4 binary64)))) #s(approx (- (* (* 2 i) (* 2 i)) 1) (*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64))) i) i))))
(neg.f64 (/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 i i) #s(literal 1/4 binary64))) (neg.f64 #s(approx (- (* (* 2 i) (* 2 i)) 1) (*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64))) i) i)))))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 i i) #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (fabs.f64 i)) (fabs.f64 i))
(*.f64 (*.f64 #s(literal 1/4 binary64) (neg.f64 i)) (neg.f64 i))
(*.f64 (fabs.f64 i) (*.f64 (fabs.f64 i) #s(literal 1/4 binary64)))
(*.f64 (*.f64 i i) #s(literal 1/4 binary64))
(*.f64 (*.f64 #s(literal 1/4 binary64) i) i)
(*.f64 (neg.f64 i) (*.f64 (neg.f64 i) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 i i))
(*.f64 i (*.f64 #s(literal 1/4 binary64) i))
(*.f64 #s(literal 1/4 binary64) i)
(*.f64 i #s(literal 1/4 binary64))
(*.f64 (/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 i i) #s(literal 1/4 binary64))) (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1 binary64))) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 i i) #s(literal 1/4 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (-.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 i i) #s(literal 1/4 binary64))))) (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 i i) #s(literal 1/4 binary64)))) (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 i i) #s(literal 1/4 binary64))) (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 i i) #s(literal 1/4 binary64)))) (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 i i) #s(literal 1/4 binary64))) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))))
(neg.f64 i)
(*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64))) i)
(*.f64 i (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 16 binary64) (pow.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 2 binary64))) i) (+.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 64 binary64) (pow.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 3 binary64))) i) (fma.f64 (pow.f64 i #s(literal -2 binary64)) (+.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 16 binary64)))
(/.f64 (*.f64 i (-.f64 #s(literal 16 binary64) (pow.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 2 binary64)))) (+.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64)))
(/.f64 (*.f64 i (-.f64 #s(literal 64 binary64) (pow.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 3 binary64)))) (fma.f64 (pow.f64 i #s(literal -2 binary64)) (+.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 16 binary64)))
(*.f64 (pow.f64 (*.f64 i i) #s(literal -1/2 binary64)) (pow.f64 (*.f64 i i) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 i) #s(literal -1 binary64)) (pow.f64 (fabs.f64 i) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 i) #s(literal -1 binary64)) (pow.f64 (neg.f64 i) #s(literal -1 binary64)))
(*.f64 (pow.f64 i #s(literal -1 binary64)) (pow.f64 i #s(literal -1 binary64)))
(pow.f64 (*.f64 i i) #s(literal -1 binary64))
(pow.f64 i #s(literal -2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 i)) (fabs.f64 i))
(/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 i)) (neg.f64 i))
(/.f64 (neg.f64 (pow.f64 i #s(literal -1 binary64))) (neg.f64 i))
(/.f64 (pow.f64 i #s(literal -1 binary64)) i)
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 i) i))
(/.f64 #s(literal 1 binary64) (*.f64 i i))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 i i)))
(exp.f64 (*.f64 (log.f64 (*.f64 i i)) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64))) (fabs.f64 i)) (fabs.f64 i))
(*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64))) (neg.f64 i)) (neg.f64 i))
(*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64))) i) i)
(*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64))) (*.f64 i i))
(*.f64 (*.f64 i i) (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64))))
(*.f64 i (*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64))) i))
(/.f64 (*.f64 (-.f64 #s(literal 16 binary64) (pow.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 i i)) (+.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 64 binary64) (pow.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 3 binary64))) (*.f64 i i)) (fma.f64 (pow.f64 i #s(literal -2 binary64)) (+.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 16 binary64)))
(*.f64 (pow.f64 i #s(literal 1 binary64)) (pow.f64 i #s(literal 1 binary64)))
(*.f64 (neg.f64 (fabs.f64 i)) (neg.f64 (fabs.f64 i)))
(*.f64 (neg.f64 (neg.f64 i)) (neg.f64 (neg.f64 i)))
(*.f64 (fabs.f64 (fabs.f64 i)) (fabs.f64 (fabs.f64 i)))
(*.f64 (fabs.f64 i) (fabs.f64 i))
(*.f64 (neg.f64 i) (neg.f64 i))
(*.f64 i i)
(pow.f64 (fabs.f64 i) #s(literal 2 binary64))
(pow.f64 (neg.f64 i) #s(literal 2 binary64))
(pow.f64 i #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 i) i))
(sqrt.f64 (pow.f64 i #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 i) i))
(fabs.f64 (*.f64 i i))
(exp.f64 (*.f64 (log.f64 i) #s(literal 2 binary64)))

eval25.0ms (0.4%)

Memory
-6.2MiB live, 32.4MiB allocated
Compiler

Compiled 6 725 to 677 computations (89.9% saved)

prune5.0ms (0.1%)

Memory
12.3MiB live, 12.3MiB allocated
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New1671168
Fresh000
Picked123
Done033
Total1686174
Accuracy
100.0%
Counts
174 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓74.2%
(/.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)))
✓51.1%
#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)))
▶49.6%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (*.f64 i i) i (*.f64 #s(literal 1/4 binary64) i)) (neg.f64 i)))
✓49.6%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
✓49.3%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
✓50.9%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Compiler

Compiled 191 to 91 computations (52.4% saved)

simplify151.0ms (2.7%)

Memory
-41.4MiB live, 164.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize57.0ms (1%)

Memory
-1.9MiB live, 87.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(neg.f64 i)
accuracy0.03125
(*.f64 (fma.f64 (*.f64 i i) i (*.f64 #s(literal 1/4 binary64) i)) (neg.f64 i))
accuracy0.06640625
(fma.f64 (*.f64 i i) i (*.f64 #s(literal 1/4 binary64) i))
accuracy32.26526024940074
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (*.f64 i i) i (*.f64 #s(literal 1/4 binary64) i)) (neg.f64 i)))
Samples
45.0ms256×0valid
Compiler

Compiled 124 to 35 computations (71.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-mult: 21.0ms (55.6% of total)
ival-add: 11.0ms (29.1% of total)
ival-div: 3.0ms (7.9% of total)
ival-sub: 1.0ms (2.6% of total)
ival-neg: 1.0ms (2.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
8.8MiB live, 8.8MiB allocated
Counts
5 → 16
Calls
Call 1
Inputs
(fma.f64 (*.f64 i i) i (*.f64 #s(literal 1/4 binary64) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (*.f64 i i) i (*.f64 #s(literal 1/4 binary64) i)) (neg.f64 i)))
(*.f64 (fma.f64 (*.f64 i i) i (*.f64 #s(literal 1/4 binary64) i)) (neg.f64 i))
(*.f64 i i)
(neg.f64 i)
Outputs
(* 1/4 i)
(* i (+ 1/4 (pow i 2)))
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(pow i 2)
(* -1 i)
(pow i 3)
(* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
Calls

3 calls:

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

simplify119.0ms (2.1%)

Memory
-13.7MiB live, 112.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite54.0ms (1%)

Memory
25.5MiB live, 63.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

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

eval13.0ms (0.2%)

Memory
-6.3MiB live, 31.3MiB allocated
Compiler

Compiled 3 545 to 347 computations (90.2% saved)

prune7.0ms (0.1%)

Memory
-22.2MiB live, 17.0MiB allocated
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New88088
Fresh000
Picked011
Done055
Total88694
Accuracy
100.0%
Counts
94 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓74.2%
(/.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)))
✓51.1%
#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)))
✓49.6%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (*.f64 i i) i (*.f64 #s(literal 1/4 binary64) i)) (neg.f64 i)))
✓49.6%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
✓49.3%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
✓50.9%
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Compiler

Compiled 582 to 156 computations (73.2% saved)

regimes8.0ms (0.1%)

Memory
18.7MiB live, 18.7MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (*.f64 i i) i (*.f64 #s(literal 1/4 binary64) i)) (neg.f64 i)))
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 1 binary64)) i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) #s(approx (- (* (* 2 i) (* 2 i)) 1) (*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))) i) i)))
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Outputs
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (*.f64 (*.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Calls

2 calls:

4.0ms
i
3.0ms
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
100.0%2i
78.4%2(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Compiler

Compiled 26 to 11 computations (57.7% saved)

regimes3.0ms (0%)

Memory
5.9MiB live, 5.9MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (*.f64 i i) i (*.f64 #s(literal 1/4 binary64) i)) (neg.f64 i)))
Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (*.f64 i i) i (*.f64 #s(literal 1/4 binary64) i)) (neg.f64 i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
Calls

1 calls:

2.0ms
i
Results
AccuracySegmentsBranch
99.5%2i
Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0%)

Memory
7.5MiB live, 7.5MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i)))
Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
Calls

1 calls:

2.0ms
i
Results
AccuracySegmentsBranch
99.5%2i
Compiler

Compiled 1 to 1 computations (0% saved)

regimes6.0ms (0.1%)

Memory
-38.1MiB live, 7.1MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Calls

1 calls:

2.0ms
i
Results
AccuracySegmentsBranch
98.7%2i
Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory
4.3MiB live, 4.3MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
Outputs
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
Calls

1 calls:

1.0ms
i
Results
AccuracySegmentsBranch
98.4%2i
Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory
4.9MiB live, 4.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

1.0ms
i
1.0ms
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
50.9%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)))
50.9%1i
Compiler

Compiled 26 to 11 computations (57.7% saved)

bsearch2.0ms (0%)

Memory
4.5MiB live, 4.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
2.0ms
2090293.0926053228
20662057334.534645
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)
ival-mult: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch17.0ms (0.3%)

Memory
-5.7MiB live, 33.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
15.0ms
0.00012690390268668236
9.470191791860389
Samples
9.0ms144×0valid
Compiler

Compiled 658 to 329 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 4.0ms (61.8% of total)
ival-div: 2.0ms (30.9% of total)
ival-sub: 1.0ms (15.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
3.9MiB live, 3.9MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
0.00012690390268668236
9.470191791860389
Compiler

Compiled 640 to 320 computations (50% saved)

bsearch1.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
0.00012690390268668236
9.470191791860389
Compiler

Compiled 586 to 284 computations (51.5% saved)

bsearch1.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
0.00012690390268668236
9.470191791860389
Compiler

Compiled 550 to 266 computations (51.6% saved)

simplify46.0ms (0.8%)

Memory
20.1MiB live, 58.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

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

soundness1.5s (26.6%)

Memory
-30.3MiB live, 367.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030184
045164
1177146
01234146
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
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 537 to 151 computations (71.9% saved)

preprocess49.0ms (0.9%)

Memory
15.5MiB live, 51.9MiB allocated
Remove

(abs i)

Compiler

Compiled 888 to 160 computations (82% saved)

end0.0ms (0%)

Memory
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