Octave 3.8, jcobi/4, as called

Time bar (total: 13.4s)

analyze5.0ms (0%)

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

Compiled 29 to 19 computations (34.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 2.0ms (66.9% of total)
ival-sub: 0.0ms (0% of total)
ival-div: 0.0ms (0% of total)
const: 0.0ms (0% of total)
ival->: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample3.2s (24.2%)

Results
2.6s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.1s
ival-mult: 1.4s (67.7% of total)
ival-div: 388.0ms (18.1% of total)
ival-sub: 168.0ms (7.8% of total)
ival->: 110.0ms (5.1% of total)
const: 24.0ms (1.1% of total)
backward-pass: 3.0ms (0.1% of total)
Bogosity

preprocess77.0ms (0.6%)

Algorithm
egg-herbie
Rules
606×associate-/l*
544×distribute-lft-neg-in
509×distribute-rgt-neg-in
507×div-sub
457×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
024344
195280
2575180
34387180
Stop Event
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)))
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
(/.f64 (/.f64 (*.f64 (*.f64 (neg.f64 i) (neg.f64 i)) (*.f64 (neg.f64 i) (neg.f64 i))) (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 i)) (*.f64 #s(literal 2 binary64) (neg.f64 i)))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 i)) (*.f64 #s(literal 2 binary64) (neg.f64 i))) #s(literal 1 binary64)))
(neg.f64 (/.f64 (/.f64 (*.f64 (*.f64 (neg.f64 i) (neg.f64 i)) (*.f64 (neg.f64 i) (neg.f64 i))) (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 i)) (*.f64 #s(literal 2 binary64) (neg.f64 i)))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 i)) (*.f64 #s(literal 2 binary64) (neg.f64 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 (*.f64 i i) (*.f64 i i)) (*.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 i i))))
(/.f64 (*.f64 i (pow.f64 i #s(literal 3 binary64))) (*.f64 (*.f64 i (*.f64 i #s(literal 4 binary64))) (fma.f64 (*.f64 i #s(literal 4 binary64)) i #s(literal -1 binary64))))
(*.f64 #s(literal 1/4 binary64) (*.f64 i (/.f64 i (fma.f64 i (*.f64 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)))
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 i i))))
(/.f64 (*.f64 i (pow.f64 i #s(literal 3 binary64))) (*.f64 (*.f64 i (*.f64 i #s(literal 4 binary64))) (fma.f64 (*.f64 i #s(literal 4 binary64)) i #s(literal -1 binary64))))
(*.f64 #s(literal 1/4 binary64) (*.f64 i (/.f64 i (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))))
(/.f64 (/.f64 (*.f64 (*.f64 (neg.f64 i) (neg.f64 i)) (*.f64 (neg.f64 i) (neg.f64 i))) (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 i)) (*.f64 #s(literal 2 binary64) (neg.f64 i)))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 i)) (*.f64 #s(literal 2 binary64) (neg.f64 i))) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 i i))))
(/.f64 (*.f64 i (pow.f64 i #s(literal 3 binary64))) (*.f64 (*.f64 i (*.f64 i #s(literal 4 binary64))) (fma.f64 (*.f64 i #s(literal 4 binary64)) i #s(literal -1 binary64))))
(*.f64 #s(literal 1/4 binary64) (*.f64 i (/.f64 i (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))))
(neg.f64 (/.f64 (/.f64 (*.f64 (*.f64 (neg.f64 i) (neg.f64 i)) (*.f64 (neg.f64 i) (neg.f64 i))) (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 i)) (*.f64 #s(literal 2 binary64) (neg.f64 i)))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 i)) (*.f64 #s(literal 2 binary64) (neg.f64 i))) #s(literal 1 binary64))))
(neg.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 i i)))))
(/.f64 (*.f64 (/.f64 i (*.f64 i #s(literal 4 binary64))) (/.f64 (pow.f64 i #s(literal 3 binary64)) i)) (neg.f64 (fma.f64 (*.f64 i #s(literal 4 binary64)) i #s(literal -1 binary64))))
(*.f64 (/.f64 i (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) (*.f64 i #s(literal -1/4 binary64)))
(*.f64 (*.f64 i #s(literal -1/4 binary64)) (/.f64 i (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))))
Symmetry

(abs i)

explain279.0ms (2.1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1940-2(1.0707635708398393e-79)(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
560-0-(/.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-(*.f64 #s(literal 2 binary64) i)
00-0-#s(literal 2 binary64)
00-0-i
00-0-(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
00-0-(*.f64 (*.f64 i i) (*.f64 i i))
00-0-(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
00-0-(*.f64 i i)
00-0-#s(literal 1 binary64)
Results
219.0ms512×0valid
Compiler

Compiled 174 to 97 computations (44.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 189.0ms
ival-mult: 167.0ms (88.4% of total)
ival-div: 10.0ms (5.3% of total)
ival-sub: 9.0ms (4.8% of total)
const: 4.0ms (2.1% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 52 to 31 computations (40.4% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
26.7%
(/.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)))
26.2%
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 i i))))
78.7%
(*.f64 #s(literal 1/4 binary64) (*.f64 i (/.f64 i (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))))
Compiler

Compiled 61 to 37 computations (39.3% saved)

localize333.0ms (2.5%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 i (/.f64 i (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))))
cost-diff128
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
cost-diff128
(*.f64 #s(literal 1/4 binary64) (*.f64 i (/.f64 i (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))))
cost-diff640
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
accuracy79.5%
(/.f64 i (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))
accuracy78.8%
(/.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)))
accuracy32.0%
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))
accuracy27.7%
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 i i))))
Rules
623×distribute-lft-in
572×distribute-rgt-in
566×fma-define
540×associate-/l/
440×*-commutative
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
027532
184496
2337449
31843439
43618427
56407427
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1/4 binary64) (*.f64 i (/.f64 i (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))))
#s(literal 1/4 binary64)
(*.f64 i (/.f64 i (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))))
i
(/.f64 i (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 i #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 i i))))
(*.f64 (*.f64 i i) (*.f64 i i))
(*.f64 i i)
i
(*.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 i i)))
(+.f64 (*.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal -1 binary64))
(*.f64 #s(literal 4 binary64) (*.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)))
(/.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 #s(literal 1/4 binary64) (*.f64 i (/.f64 i (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))))
(*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 i i) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 i (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) (*.f64 i #s(literal 1/4 binary64)))
(*.f64 i (/.f64 i (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64))))
(*.f64 i (/.f64 i (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))))
#s(literal 1/4 binary64)
(*.f64 i (/.f64 i (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))))
(/.f64 (*.f64 i i) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))
i
(/.f64 i (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 i #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 i i))))
(*.f64 #s(literal 1/4 binary64) (*.f64 i (/.f64 i (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))))
(*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 i i) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 i (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) (*.f64 i #s(literal 1/4 binary64)))
(*.f64 i (/.f64 i (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64))))
(*.f64 i (/.f64 i (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))))
(*.f64 (*.f64 i i) (*.f64 i i))
(*.f64 i (*.f64 i (*.f64 i i)))
(*.f64 i (pow.f64 i #s(literal 3 binary64)))
(pow.f64 i #s(literal 4 binary64))
(*.f64 i i)
i
(*.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 i i)))
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 i i)))
(*.f64 #s(literal 4 binary64) (*.f64 (*.f64 i i) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64)) (*.f64 (*.f64 i i) #s(literal -4 binary64)))
(fma.f64 (*.f64 i i) #s(literal -4 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64)))
(fma.f64 i (*.f64 i #s(literal -4 binary64)) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64)))
(+.f64 (*.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal -1 binary64))
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 4 binary64) (*.f64 i i))
(*.f64 i (*.f64 i #s(literal 4 binary64)))
#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)))
(*.f64 #s(literal 1/4 binary64) (*.f64 i (/.f64 i (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))))
(*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 i i) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 i (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) (*.f64 i #s(literal 1/4 binary64)))
(*.f64 i (/.f64 i (+.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64))))
(*.f64 i (/.f64 i (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 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 (*.f64 i (*.f64 i i))) (*.f64 #s(literal 4 binary64) (*.f64 i i)))
(*.f64 i (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 i (*.f64 i #s(literal 4 binary64)))))
(*.f64 i (*.f64 i #s(literal 1/4 binary64)))
(*.f64 (*.f64 i i) (*.f64 i i))
(*.f64 i (*.f64 i (*.f64 i i)))
(*.f64 i (pow.f64 i #s(literal 3 binary64)))
(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 i (*.f64 i #s(literal 4 binary64)))
(*.f64 #s(literal 2 binary64) i)
(*.f64 i #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
#s(literal 1 binary64)
Results
131.0ms256×0valid
Compiler

Compiled 176 to 91 computations (48.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 97.0ms
ival-mult: 57.0ms (59% of total)
ival-div: 17.0ms (17.6% of total)
ival-fma: 11.0ms (11.4% of total)
ival-add: 5.0ms (5.2% of total)
const: 4.0ms (4.1% of total)
ival-sub: 2.0ms (2.1% of total)
backward-pass: 0.0ms (0% of total)

series11.0ms (0.1%)

Counts
7 → 84
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 i i))))>
#<alt (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))>
#<alt (/.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)))>
#<alt (/.f64 i (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 i (/.f64 i (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))))>
#<alt (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))>
#<alt (*.f64 i (/.f64 i (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))))>
Outputs
#<alt (*.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 i #s(literal 2 binary64))) #s(literal 1/4 binary64)))>
#<alt (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (pow.f64 i #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal 1/4 binary64)))>
#<alt (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -16 binary64) (pow.f64 i #s(literal 2 binary64))) #s(literal 4 binary64))) #s(literal 1 binary64))) #s(literal 1/4 binary64)))>
#<alt #s(literal 1/16 binary64)>
#<alt (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (+.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64)))) (*.f64 #s(literal 1/1024 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 6 binary64)))))))>
#<alt #s(literal 1/16 binary64)>
#<alt (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (+.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64)))) (*.f64 #s(literal 1/1024 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 6 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 i #s(literal 2 binary64))) #s(literal 1/4 binary64)))>
#<alt (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (pow.f64 i #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal 1/4 binary64)))>
#<alt (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -16 binary64) (pow.f64 i #s(literal 2 binary64))) #s(literal 4 binary64))) #s(literal 1 binary64))) #s(literal 1/4 binary64)))>
#<alt #s(literal 1/16 binary64)>
#<alt (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (+.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64)))) (*.f64 #s(literal 1/1024 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 6 binary64)))))))>
#<alt #s(literal 1/16 binary64)>
#<alt (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (+.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64)))) (*.f64 #s(literal 1/1024 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 6 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) i)>
#<alt (*.f64 i (-.f64 (*.f64 #s(literal -4 binary64) (pow.f64 i #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 i (-.f64 (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -16 binary64) (pow.f64 i #s(literal 2 binary64))) #s(literal 4 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 i (-.f64 (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 2 binary64))) #s(literal 16 binary64))) #s(literal 4 binary64))) #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal 1/4 binary64) i)>
#<alt (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64))))) i)>
#<alt (/.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 4 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64)))))) i)>
#<alt (/.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 4 binary64))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64)))) (*.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 6 binary64))))))) i)>
#<alt (/.f64 #s(literal 1/4 binary64) i)>
#<alt (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64))))) i)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64))))) (pow.f64 i #s(literal 2 binary64)))) #s(literal 1/4 binary64)) i))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/64 binary64) (*.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64))))) (pow.f64 i #s(literal 4 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64)))))) i))>
#<alt (*.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 i #s(literal 2 binary64))) #s(literal 1/4 binary64)))>
#<alt (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (pow.f64 i #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal 1/4 binary64)))>
#<alt (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -16 binary64) (pow.f64 i #s(literal 2 binary64))) #s(literal 4 binary64))) #s(literal 1 binary64))) #s(literal 1/4 binary64)))>
#<alt #s(literal 1/16 binary64)>
#<alt (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (+.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64)))) (*.f64 #s(literal 1/1024 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 6 binary64)))))))>
#<alt #s(literal 1/16 binary64)>
#<alt (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (+.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64)))) (*.f64 #s(literal 1/1024 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 6 binary64)))))))>
#<alt (*.f64 #s(literal 4 binary64) (pow.f64 i #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 4 binary64) (pow.f64 i #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 4 binary64) (pow.f64 i #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 4 binary64) (pow.f64 i #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 4 binary64) (pow.f64 i #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 4 binary64) (pow.f64 i #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 4 binary64) (pow.f64 i #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 4 binary64) (pow.f64 i #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 4 binary64) (pow.f64 i #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 4 binary64) (pow.f64 i #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 4 binary64) (pow.f64 i #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 4 binary64) (pow.f64 i #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 i #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (pow.f64 i #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -16 binary64) (pow.f64 i #s(literal 2 binary64))) #s(literal 4 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 2 binary64))) #s(literal 16 binary64))) #s(literal 4 binary64))) #s(literal 1 binary64)))>
#<alt #s(literal 1/4 binary64)>
#<alt (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 4 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 4 binary64))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64)))) (*.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 6 binary64)))))))>
#<alt #s(literal 1/4 binary64)>
#<alt (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 4 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 4 binary64))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64)))) (*.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 6 binary64)))))))>
Calls

21 calls:

TimeVariablePointExpression
1.0ms
i
@0
(/ (* (* i i) (* i i)) (* (+ (* 4 (* i i)) -1) (* 4 (* i i))))
1.0ms
i
@inf
(/ (* (* i i) (* i i)) (* (+ (* 4 (* i i)) -1) (* 4 (* i i))))
1.0ms
i
@inf
(/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))
0.0ms
i
@0
(/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))
0.0ms
i
@-inf
(/ i (+ (* i (* i 4)) -1))

rewrite366.0ms (2.7%)

Algorithm
batch-egg-rewrite
Rules
1213×log1p-expm1-u
311×times-frac
191×associate-*r*
167×expm1-log1p-u
166×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027281
1453250
26458250
Stop Event
node limit
Counts
7 → 355
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal -1 binary64)) (*.f64 #s(literal 4 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 (/.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 i (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 i (/.f64 i (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))))
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(*.f64 i (/.f64 i (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) (+.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64)) (*.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal -4 binary64)))))) #s(literal 1 binary64))
(*.f64 i (/.f64 (pow.f64 i #s(literal 3 binary64)) (+.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64)) (*.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal -4 binary64)))))
(*.f64 i (*.f64 i (/.f64 (pow.f64 i #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64)) (*.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal -4 binary64))))))
(*.f64 i (*.f64 (pow.f64 i #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 2 binary64))) (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))))
(*.f64 (pow.f64 i #s(literal 2 binary64)) (/.f64 (pow.f64 i #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64)) (*.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal -4 binary64)))))
(*.f64 (pow.f64 i #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 i #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))))
(*.f64 (pow.f64 i #s(literal 4 binary64)) (/.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 2 binary64))) (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))))
(*.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))))
(*.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) (+.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64)) (*.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal -4 binary64)))) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 i #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 i #s(literal 4 binary64)) (+.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64)) (*.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal -4 binary64)))))
(*.f64 (/.f64 i (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64))))
(*.f64 (/.f64 (pow.f64 i #s(literal 2 binary64)) (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) (*.f64 (pow.f64 i #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 i #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 i #s(literal 2 binary64)))) (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 i #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 i #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) (+.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64)) (*.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal -4 binary64))))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) (+.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64)) (*.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal -4 binary64))))) #s(literal 2 binary64)))
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(/.f64 (/.f64 (pow.f64 i #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))))
(/.f64 (/.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))
(/.f64 (/.f64 (pow.f64 i #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))))
(/.f64 (/.f64 (pow.f64 i #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)))
(pow.f64 (/.f64 (pow.f64 i #s(literal 2 binary64)) (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 i #s(literal 2 binary64)) (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 i #s(literal 2 binary64)) (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 i (sqrt.f64 (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) (pow.f64 (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 (pow.f64 i #s(literal 2 binary64)) (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 i #s(literal 2 binary64)) (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 i #s(literal 2 binary64)) (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 (/.f64 i (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 i (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 i #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 i #s(literal 2 binary64)) (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 i #s(literal 2 binary64)) (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))))
(exp.f64 (log.f64 (/.f64 (pow.f64 i #s(literal 2 binary64)) (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 i #s(literal 2 binary64)) (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)))

simplify257.0ms (1.9%)

Algorithm
egg-herbie
Rules
625×fma-define
457×associate-*r/
415×exp-prod
412×cube-prod
396×associate-*l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
064820834
1158316688
2545616246
Stop Event
node limit
Counts
439 → 389
Calls
Call 1
Inputs
(*.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 i #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (pow.f64 i #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -16 binary64) (pow.f64 i #s(literal 2 binary64))) #s(literal 4 binary64))) #s(literal 1 binary64))) #s(literal 1/4 binary64)))
#s(literal 1/16 binary64)
(+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64)))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64))))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (+.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64)))) (*.f64 #s(literal 1/1024 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 6 binary64)))))))
#s(literal 1/16 binary64)
(+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64)))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64))))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (+.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64)))) (*.f64 #s(literal 1/1024 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 6 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 i #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (pow.f64 i #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -16 binary64) (pow.f64 i #s(literal 2 binary64))) #s(literal 4 binary64))) #s(literal 1 binary64))) #s(literal 1/4 binary64)))
#s(literal 1/16 binary64)
(+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64)))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64))))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (+.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64)))) (*.f64 #s(literal 1/1024 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 6 binary64)))))))
#s(literal 1/16 binary64)
(+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64)))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64))))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (+.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64)))) (*.f64 #s(literal 1/1024 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 6 binary64)))))))
(*.f64 #s(literal -1 binary64) i)
(*.f64 i (-.f64 (*.f64 #s(literal -4 binary64) (pow.f64 i #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 i (-.f64 (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -16 binary64) (pow.f64 i #s(literal 2 binary64))) #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 i (-.f64 (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 2 binary64))) #s(literal 16 binary64))) #s(literal 4 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1/4 binary64) i)
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64))))) i)
(/.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 4 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64)))))) i)
(/.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 4 binary64))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64)))) (*.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 6 binary64))))))) i)
(/.f64 #s(literal 1/4 binary64) i)
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64))))) i)
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64))))) (pow.f64 i #s(literal 2 binary64)))) #s(literal 1/4 binary64)) i))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/64 binary64) (*.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64))))) (pow.f64 i #s(literal 4 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64)))))) i))
(*.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 i #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (pow.f64 i #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -16 binary64) (pow.f64 i #s(literal 2 binary64))) #s(literal 4 binary64))) #s(literal 1 binary64))) #s(literal 1/4 binary64)))
#s(literal 1/16 binary64)
(+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64)))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64))))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (+.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64)))) (*.f64 #s(literal 1/1024 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 6 binary64)))))))
#s(literal 1/16 binary64)
(+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64)))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64))))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (+.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64)))) (*.f64 #s(literal 1/1024 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 6 binary64)))))))
(*.f64 #s(literal 4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (pow.f64 i #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -16 binary64) (pow.f64 i #s(literal 2 binary64))) #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -64 binary64) (pow.f64 i #s(literal 2 binary64))) #s(literal 16 binary64))) #s(literal 4 binary64))) #s(literal 1 binary64)))
#s(literal 1/4 binary64)
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64)))))
(+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 4 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64))))))
(+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 4 binary64))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64)))) (*.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 6 binary64)))))))
#s(literal 1/4 binary64)
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64)))))
(+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 4 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64))))))
(+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 4 binary64))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64)))) (*.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 6 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) (+.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64)) (*.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal -4 binary64)))))) #s(literal 1 binary64))
(*.f64 i (/.f64 (pow.f64 i #s(literal 3 binary64)) (+.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64)) (*.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal -4 binary64)))))
(*.f64 i (*.f64 i (/.f64 (pow.f64 i #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64)) (*.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal -4 binary64))))))
(*.f64 i (*.f64 (pow.f64 i #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 2 binary64))) (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))))
(*.f64 (pow.f64 i #s(literal 2 binary64)) (/.f64 (pow.f64 i #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64)) (*.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal -4 binary64)))))
(*.f64 (pow.f64 i #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 i #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))))
(*.f64 (pow.f64 i #s(literal 4 binary64)) (/.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 2 binary64))) (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))))
(*.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))))
(*.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) (+.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64)) (*.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal -4 binary64)))) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 i #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 i #s(literal 4 binary64)) (+.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64)) (*.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal -4 binary64)))))
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(cbrt.f64 (pow.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 6 binary64)))
(cbrt.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 (*.f64 i #s(literal 4 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 i #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 i #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 i #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 i) (log.f64 (*.f64 i #s(literal 4 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 i #s(literal 2 binary64)) (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))))) #s(literal 1 binary64))
(/.f64 i (/.f64 (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) i))
(/.f64 (pow.f64 i #s(literal 2 binary64)) (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (pow.f64 i #s(literal 2 binary64))))
(/.f64 (*.f64 i (neg.f64 i)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal -4 binary64))))
(/.f64 (*.f64 (neg.f64 i) i) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal -4 binary64))))
(/.f64 (neg.f64 (pow.f64 i #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal -4 binary64))))
(/.f64 (/.f64 (pow.f64 i #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))))
(/.f64 (/.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))
(/.f64 (/.f64 (pow.f64 i #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))))
(/.f64 (/.f64 (pow.f64 i #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)))
(pow.f64 (/.f64 (pow.f64 i #s(literal 2 binary64)) (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 i #s(literal 2 binary64)) (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 i #s(literal 2 binary64)) (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 i (sqrt.f64 (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) (pow.f64 (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 (pow.f64 i #s(literal 2 binary64)) (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 i #s(literal 2 binary64)) (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 i #s(literal 2 binary64)) (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 (/.f64 i (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 i (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 i #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 i #s(literal 2 binary64)) (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 i #s(literal 2 binary64)) (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))))
(exp.f64 (log.f64 (/.f64 (pow.f64 i #s(literal 2 binary64)) (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 i #s(literal 2 binary64)) (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 i #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 i #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 i #s(literal 2 binary64)) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 i #s(literal 2 binary64)) (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal -1 binary64) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (pow.f64 i #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 i #s(literal 2 binary64)) (fma.f64 (pow.f64 i #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (pow.f64 i #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 i #s(literal 2 binary64)) (fma.f64 (pow.f64 i #s(literal 2 binary64)) (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -16 binary64) (pow.f64 i #s(literal 2 binary64))) #s(literal 4 binary64))) #s(literal 1 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 i #s(literal 2 binary64)) (fma.f64 (pow.f64 i #s(literal 2 binary64)) (fma.f64 (pow.f64 i #s(literal 2 binary64)) (fma.f64 #s(literal -16 binary64) (pow.f64 i #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal -1 binary64)) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 i #s(literal 2 binary64)) (fma.f64 (pow.f64 i #s(literal 2 binary64)) (fma.f64 (pow.f64 i #s(literal 2 binary64)) (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal -16 binary64) #s(literal -4 binary64)) #s(literal -1 binary64)) #s(literal -1/4 binary64)))
#s(literal 1/16 binary64)
(+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64)))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 2 binary64))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64))))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 2 binary64))) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64)))))
(+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 2 binary64)))) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (+.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64)))) (*.f64 #s(literal 1/1024 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 6 binary64)))))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 2 binary64))) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64)))) (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64)))))
(+.f64 (+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 2 binary64)))) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64)))) (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))))
#s(literal 1/16 binary64)
(+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64)))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 2 binary64))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64))))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 2 binary64))) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64)))))
(+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 2 binary64)))) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (+.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64)))) (*.f64 #s(literal 1/1024 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 6 binary64)))))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 2 binary64))) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64)))) (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64)))))
(+.f64 (+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 2 binary64)))) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64)))) (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))))
(*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 1/4 binary64))
(*.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 i #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 i #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 i #s(literal 2 binary64)) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 i #s(literal 2 binary64)) (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal -1 binary64) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (pow.f64 i #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 i #s(literal 2 binary64)) (fma.f64 (pow.f64 i #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (pow.f64 i #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 i #s(literal 2 binary64)) (fma.f64 (pow.f64 i #s(literal 2 binary64)) (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -16 binary64) (pow.f64 i #s(literal 2 binary64))) #s(literal 4 binary64))) #s(literal 1 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 i #s(literal 2 binary64)) (fma.f64 (pow.f64 i #s(literal 2 binary64)) (fma.f64 (pow.f64 i #s(literal 2 binary64)) (fma.f64 #s(literal -16 binary64) (pow.f64 i #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal -1 binary64)) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 i #s(literal 2 binary64)) (fma.f64 (pow.f64 i #s(literal 2 binary64)) (fma.f64 (pow.f64 i #s(literal 2 binary64)) (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal -16 binary64) #s(literal -4 binary64)) #s(literal -1 binary64)) #s(literal -1/4 binary64)))
#s(literal 1/16 binary64)
(+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64)))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 2 binary64))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64))))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 2 binary64))) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64)))))
(+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 2 binary64)))) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (+.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64)))) (*.f64 #s(literal 1/1024 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 6 binary64)))))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 2 binary64))) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64)))) (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64)))))
(+.f64 (+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 2 binary64)))) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64)))) (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))))
#s(literal 1/16 binary64)
(+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64)))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 2 binary64))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64))))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 2 binary64))) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64)))))
(+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 2 binary64)))) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (+.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 2 binary64)))) (*.f64 #s(literal 1/1024 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 6 binary64)))))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 2 binary64))) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64)))) (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64)))))
(+.f64 (+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 2 binary64)))) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64)))) (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))))
(*.f64 #s(literal -1 binary64) i)
(neg.f64 i)
(*.f64 i (-.f64 (*.f64 #s(literal -4 binary64) (pow.f64 i #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 i (fma.f64 #s(literal -4 binary64) (pow.f64 i #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 i (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal -4 binary64) #s(literal -1 binary64)))
(*.f64 i (-.f64 (*.f64 (pow.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -16 binary64) (pow.f64 i #s(literal 2 binary64))) #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 i (fma.f64 (pow.f64 i #s(literal 2 binary64)) (fma.f64 #s(literal -16 binary64) (pow.f64 i #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal -1 binary64)))
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(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 i #s(literal 2 binary64)) (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)))
(/.f64 i (/.f64 (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) i))
(/.f64 (pow.f64 i #s(literal 2 binary64)) (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))

eval124.0ms (0.9%)

Compiler

Compiled 8536 to 6673 computations (21.8% saved)

prune62.0ms (0.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New4102412
Fresh000
Picked123
Done000
Total4114415
Accuracy
100.0%
Counts
415 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.7%
(/.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)))
26.2%
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 i i))))
52.8%
(*.f64 #s(literal 1/4 binary64) (*.f64 i (neg.f64 i)))
47.6%
#s(literal 1/16 binary64)
Compiler

Compiled 57 to 35 computations (38.6% saved)

localize37.0ms (0.3%)

Algorithm
egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 i)
cost-diff0
(*.f64 i (neg.f64 i))
cost-diff64
(*.f64 #s(literal 1/4 binary64) (*.f64 i (neg.f64 i)))
accuracy100.0%
(*.f64 i (neg.f64 i))
accuracy100.0%
(*.f64 #s(literal 1/4 binary64) (*.f64 i (neg.f64 i)))
accuracy100.0%
(neg.f64 i)
Rules
54×fma-define
11×sub-neg
11×distribute-lft-in
10×associate-*r*
associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01154
12154
24150
37950
49750
512750
615850
719350
Stop Event
saturated
Calls
Call 1
Inputs
#s(literal 1/16 binary64)
(*.f64 #s(literal 1/4 binary64) (*.f64 i (neg.f64 i)))
#s(literal 1/4 binary64)
(*.f64 i (neg.f64 i))
i
(neg.f64 i)
Outputs
#s(literal 1/16 binary64)
(*.f64 #s(literal 1/4 binary64) (*.f64 i (neg.f64 i)))
(*.f64 (*.f64 #s(literal 1/4 binary64) i) (neg.f64 i))
(*.f64 (neg.f64 i) (*.f64 #s(literal 1/4 binary64) i))
(*.f64 i (*.f64 i #s(literal -1/4 binary64)))
#s(literal 1/4 binary64)
(*.f64 i (neg.f64 i))
i
(neg.f64 i)
Results
18.0ms256×0valid
Compiler

Compiled 17 to 8 computations (52.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 4.0ms (68.2% of total)
ival-neg: 1.0ms (17% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series113.0ms (0.8%)

Counts
3 → 36
Calls
Call 1
Inputs
#<alt (neg.f64 i)>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 i (neg.f64 i)))>
#<alt (*.f64 i (neg.f64 i))>
Outputs
#<alt (*.f64 #s(literal -1 binary64) i)>
#<alt (*.f64 #s(literal -1 binary64) i)>
#<alt (*.f64 #s(literal -1 binary64) i)>
#<alt (*.f64 #s(literal -1 binary64) i)>
#<alt (*.f64 #s(literal -1 binary64) i)>
#<alt (*.f64 #s(literal -1 binary64) i)>
#<alt (*.f64 #s(literal -1 binary64) i)>
#<alt (*.f64 #s(literal -1 binary64) i)>
#<alt (*.f64 #s(literal -1 binary64) i)>
#<alt (*.f64 #s(literal -1 binary64) i)>
#<alt (*.f64 #s(literal -1 binary64) i)>
#<alt (*.f64 #s(literal -1 binary64) i)>
#<alt (*.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 i #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 i #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 i #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 i #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 i #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 i #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 i #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 i #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 i #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 i #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 i #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 i #s(literal 2 binary64)))>
Calls

9 calls:

TimeVariablePointExpression
108.0ms
i
@-inf
(neg i)
1.0ms
i
@0
(* 1/4 (* i (neg i)))
0.0ms
i
@inf
(* 1/4 (* i (neg i)))
0.0ms
i
@inf
(* i (neg i))
0.0ms
i
@inf
(neg i)

rewrite64.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
315×unpow-prod-down
265×log1p-expm1-u
265×expm1-log1p-u
256×add-exp-log
247×add-log-exp
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01024
19212
211653
Stop Event
node limit
Counts
3 → 3
Calls
Call 1
Inputs
(neg.f64 i)
(*.f64 #s(literal 1/4 binary64) (*.f64 i (neg.f64 i)))
(*.f64 i (neg.f64 i))
Outputs
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)

simplify20.0ms (0.2%)

Algorithm
egg-herbie
Rules
30×fma-define
distribute-lft-in
sub-neg
*-commutative
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
013459
120459
228459
331459
438459
553459
661459
780459
8105459
Stop Event
saturated
Counts
39 → 6
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) i)
(*.f64 #s(literal -1 binary64) i)
(*.f64 #s(literal -1 binary64) i)
(*.f64 #s(literal -1 binary64) i)
(*.f64 #s(literal -1 binary64) i)
(*.f64 #s(literal -1 binary64) i)
(*.f64 #s(literal -1 binary64) i)
(*.f64 #s(literal -1 binary64) i)
(*.f64 #s(literal -1 binary64) i)
(*.f64 #s(literal -1 binary64) i)
(*.f64 #s(literal -1 binary64) i)
(*.f64 #s(literal -1 binary64) i)
(*.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 i #s(literal 2 binary64)))
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
Outputs
(*.f64 #s(literal -1 binary64) i)
(neg.f64 i)
(*.f64 #s(literal -1 binary64) i)
(neg.f64 i)
(*.f64 #s(literal -1 binary64) i)
(neg.f64 i)
(*.f64 #s(literal -1 binary64) i)
(neg.f64 i)
(*.f64 #s(literal -1 binary64) i)
(neg.f64 i)
(*.f64 #s(literal -1 binary64) i)
(neg.f64 i)
(*.f64 #s(literal -1 binary64) i)
(neg.f64 i)
(*.f64 #s(literal -1 binary64) i)
(neg.f64 i)
(*.f64 #s(literal -1 binary64) i)
(neg.f64 i)
(*.f64 #s(literal -1 binary64) i)
(neg.f64 i)
(*.f64 #s(literal -1 binary64) i)
(neg.f64 i)
(*.f64 #s(literal -1 binary64) i)
(neg.f64 i)
(*.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 i #s(literal 2 binary64)))
(neg.f64 (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 i #s(literal 2 binary64)))
(neg.f64 (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 i #s(literal 2 binary64)))
(neg.f64 (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 i #s(literal 2 binary64)))
(neg.f64 (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 i #s(literal 2 binary64)))
(neg.f64 (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 i #s(literal 2 binary64)))
(neg.f64 (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 i #s(literal 2 binary64)))
(neg.f64 (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 i #s(literal 2 binary64)))
(neg.f64 (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 i #s(literal 2 binary64)))
(neg.f64 (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 i #s(literal 2 binary64)))
(neg.f64 (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 i #s(literal 2 binary64)))
(neg.f64 (pow.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 i #s(literal 2 binary64)))
(neg.f64 (pow.f64 i #s(literal 2 binary64)))
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)

eval1.0ms (0%)

Compiler

Compiled 37 to 29 computations (21.6% saved)

prune3.0ms (0%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New516
Fresh000
Picked022
Done022
Total5510
Accuracy
100.0%
Counts
10 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.7%
(/.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)))
26.2%
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 i i))))
52.8%
(*.f64 #s(literal 1/4 binary64) (*.f64 i (neg.f64 i)))
28.5%
(*.f64 #s(literal 1/4 binary64) (*.f64 i #s(literal 0 binary64)))
47.6%
#s(literal 1/16 binary64)
Compiler

Compiled 63 to 40 computations (36.5% saved)

localize68.0ms (0.5%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff128
(*.f64 i #s(literal 0 binary64))
cost-diff256
(*.f64 #s(literal 1/4 binary64) (*.f64 i #s(literal 0 binary64)))
accuracy100.0%
(*.f64 i #s(literal 0 binary64))
accuracy100.0%
(*.f64 #s(literal 1/4 binary64) (*.f64 i #s(literal 0 binary64)))
Rules
*-commutative
mul0-rgt
associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
098
1158
2168
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 1/4 binary64) (*.f64 i #s(literal 0 binary64)))
#s(literal 1/4 binary64)
(*.f64 i #s(literal 0 binary64))
i
#s(literal 0 binary64)
Outputs
(*.f64 #s(literal 1/4 binary64) (*.f64 i #s(literal 0 binary64)))
#s(literal 0 binary64)
#s(literal 1/4 binary64)
(*.f64 i #s(literal 0 binary64))
#s(literal 0 binary64)
i
#s(literal 0 binary64)
Results
55.0ms256×0valid
Compiler

Compiled 13 to 10 computations (23.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-mult: 46.0ms (98.4% of total)
const: 1.0ms (2.1% of total)
backward-pass: 0.0ms (0% of total)

series1.0ms (0%)

Counts
2 → 24
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 i #s(literal 0 binary64)))>
#<alt (*.f64 i #s(literal 0 binary64))>
Outputs
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
Calls

6 calls:

TimeVariablePointExpression
0.0ms
i
@0
(* 1/4 (* i 0))
0.0ms
i
@inf
(* 1/4 (* i 0))
0.0ms
i
@-inf
(* 1/4 (* i 0))
0.0ms
i
@inf
(* i 0)
0.0ms
i
@0
(* i 0)

rewrite98.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
942×log1p-expm1-u
942×expm1-log1p-u
629×prod-diff
290×fma-define
138×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
092
1742
23592
330612
Stop Event
node limit
Counts
2 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 1/4 binary64) (*.f64 i #s(literal 0 binary64)))
(*.f64 i #s(literal 0 binary64))
Outputs
#s(literal 0 binary64)
#s(literal 0 binary64)

simplify6.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0126
Stop Event
saturated
Counts
26 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
Outputs
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune2.0ms (0%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New011
Fresh000
Picked101
Done044
Total156
Accuracy
100.0%
Counts
6 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.7%
(/.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)))
26.2%
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 i i))))
52.8%
(*.f64 #s(literal 1/4 binary64) (*.f64 i (neg.f64 i)))
47.6%
#s(literal 1/16 binary64)
28.5%
#s(literal 0 binary64)
Compiler

Compiled 59 to 37 computations (37.3% saved)

localize24.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011
Stop Event
saturated
Calls
Call 1
Inputs
#s(literal 0 binary64)
Outputs
#s(literal 0 binary64)
Results
4.0ms256×0valid
Compiler

Compiled 3 to 3 computations (0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune5.0ms (0%)

Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done044
Total055
Accuracy
100.0%
Counts
5 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.7%
(/.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)))
26.2%
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 i i))))
52.8%
(*.f64 #s(literal 1/4 binary64) (*.f64 i (neg.f64 i)))
47.6%
#s(literal 1/16 binary64)
28.5%
#s(literal 0 binary64)
Compiler

Compiled 131 to 80 computations (38.9% saved)

regimes8.0ms (0.1%)

Counts
7 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/16 binary64)
(*.f64 #s(literal 1/4 binary64) (*.f64 i #s(literal 0 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 i (neg.f64 i)))
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 i i))))
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 i (/.f64 i (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))))
Outputs
(*.f64 #s(literal 1/4 binary64) (*.f64 i (/.f64 i (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))))
#s(literal 1/16 binary64)
Calls

2 calls:

4.0ms
i
2.0ms
(/.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
78.7%1(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Compiler

Compiled 28 to 18 computations (35.7% saved)

regimes6.0ms (0%)

Counts
6 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/16 binary64)
(*.f64 #s(literal 1/4 binary64) (*.f64 i #s(literal 0 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 i (neg.f64 i)))
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 i i))))
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 1/4 binary64) (*.f64 i (neg.f64 i)))
#s(literal 1/16 binary64)
Calls

1 calls:

4.0ms
i
Results
AccuracySegmentsBranch
98.6%2i
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts
3 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/16 binary64)
(*.f64 #s(literal 1/4 binary64) (*.f64 i #s(literal 0 binary64)))
Outputs
#s(literal 0 binary64)
#s(literal 1/16 binary64)
Calls

1 calls:

3.0ms
i
Results
AccuracySegmentsBranch
73.2%2i
Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
Outputs
#s(literal 0 binary64)
Calls

1 calls:

0.0ms
i
Results
AccuracySegmentsBranch
28.5%1i
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch12.0ms (0.1%)

Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
11.0ms
14621987.805698551
123533051.45305318
Results
8.0ms64×0valid
Compiler

Compiled 98 to 72 computations (26.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (66.6% of total)
ival-div: 1.0ms (22.2% of total)
ival-sub: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch25.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
23.0ms
0.0024316004580519908
1.2889359225263062
Results
18.0ms128×0valid
Compiler

Compiled 118 to 92 computations (22% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 11.0ms (82% of total)
ival-div: 2.0ms (14.9% of total)
ival-sub: 1.0ms (7.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch21.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
19.0ms
0.0024316004580519908
1.2889359225263062
Results
14.0ms128×0valid
Compiler

Compiled 78 to 68 computations (12.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 8.0ms (73.6% of total)
ival-div: 2.0ms (18.4% of total)
ival-sub: 1.0ms (9.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify4.0ms (0%)

Algorithm
egg-herbie
Rules
10×*-commutative
neg-sub0
neg-mul-1
sub-neg
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030109
139109
247109
357109
462109
565109
666109
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 i #s(literal 50000000 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 i (/.f64 i (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))))) #s(literal 1/16 binary64))
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 i (neg.f64 i))) #s(literal 1/16 binary64))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(literal 0 binary64) #s(literal 1/16 binary64))
#s(literal 0 binary64)
Outputs
(if (<=.f64 i #s(literal 50000000 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 i (/.f64 i (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))))) #s(literal 1/16 binary64))
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 i (neg.f64 i))) #s(literal 1/16 binary64))
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 (*.f64 i i) (neg.f64 #s(literal 1/4 binary64))) #s(literal 1/16 binary64))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(literal 0 binary64) #s(literal 1/16 binary64))
#s(literal 0 binary64)

soundness8.1s (60.2%)

Rules
625×fma-define
606×associate-/l*
544×distribute-lft-neg-in
509×distribute-rgt-neg-in
507×div-sub
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
064820834
1158316688
2545616246
01024
19212
211653
024344
195280
2575180
34387180
Stop Event
done
node limit
node limit
node limit
Compiler

Compiled 403 to 231 computations (42.7% saved)

preprocess42.0ms (0.3%)

Remove

(abs i)

Compiler

Compiled 196 to 140 computations (28.6% saved)

end0.0ms (0%)

Profiling

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