invcot (example 3.9)

Time bar (total: 14.7s)

analyze5.0ms (0%)

Memory
6.8MiB live, 6.8MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%49.7%50.3%0%0%0%0
0%0%49.7%50.3%0%0%0%1
0%0%49.7%50.3%0%0%0%2
25%12.4%37.3%50.3%0%0%0%3
62.5%31.1%18.6%50.3%0%0%0%4
81.3%40.4%9.3%50.3%0%0%0%5
90.6%45%4.7%50.3%0%0%0%6
95.3%47.4%2.3%50.3%0%0%0%7
97.7%48.5%1.2%50.3%0%0%0%8
98.8%49.1%0.6%50.3%0%0%0%9
99.4%49.4%0.3%50.3%0%0%0%10
99.7%49.5%0.1%50.3%0%0%0%11
99.9%49.6%0.1%50.3%0%0%0%12
Compiler

Compiled 16 to 12 computations (25% saved)

sample9.2s (62.4%)

Memory
99.7MiB live, 10 052.7MiB allocated
Samples
7.0s3 809×2valid
1.7s4 371×1valid
7.0ms76×0valid
Precisions
Click to see histograms. Total time spent on operations: 8.4s
ival-tan: 7.3s (86% of total)
ival-div: 448.0ms (5.3% of total)
const: 243.0ms (2.9% of total)
adjust: 241.0ms (2.9% of total)
ival-sub: 116.0ms (1.4% of total)
ival-<: 110.0ms (1.3% of total)
ival-and: 12.0ms (0.1% of total)
exact: 5.0ms (0.1% of total)
ival-assert: 4.0ms (0% of total)
Bogosity

preprocess32.0ms (0.2%)

Memory
-31.3MiB live, 51.5MiB allocated
Algorithm
egg-herbie
Rules
112×lower-fma.f64
112×lower-fma.f32
80×lower-*.f64
80×lower-*.f32
48×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821
12119
25416
313116
420416
522816
623016
068
0108
1148
2228
3318
4438
5638
61028
71348
81928
92258
102478
02478
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
Outputs
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
Symmetry

(negabs x)

explain572.0ms (3.9%)

Memory
9.5MiB live, 759.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2560-0-(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
00-0-(/.f64 #s(literal 1 binary64) x)
00-0-#s(literal 1 binary64)
00-0-(tan.f64 x)
00-0-(/.f64 #s(literal 1 binary64) (tan.f64 x))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))cancellation2560
Confusion
Predicted +Predicted -
+2560
-00
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25600
-000
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
1256
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
429.0ms232×2valid
84.0ms280×1valid
Compiler

Compiled 60 to 28 computations (53.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 490.0ms
ival-tan: 450.0ms (91.9% of total)
ival-div: 20.0ms (4.1% of total)
adjust: 13.0ms (2.7% of total)
ival-sub: 6.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.9%
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify11.0ms (0.1%)

Memory
24.2MiB live, 24.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(tan.f64 x)
cost-diff0
(/.f64 #s(literal 1 binary64) (tan.f64 x))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
Rules
112×lower-fma.f64
112×lower-fma.f32
80×lower-*.f64
80×lower-*.f32
48×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0619
01019
11419
22219
33119
44319
56319
610219
713419
819219
922519
1024719
024719
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 #s(literal 1 binary64) (tan.f64 x))
(tan.f64 x)
Outputs
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 #s(literal 1 binary64) (tan.f64 x))
(tan.f64 x)

localize246.0ms (1.7%)

Memory
-10.0MiB live, 390.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
accuracy100.0%
(tan.f64 x)
accuracy100.0%
(/.f64 #s(literal 1 binary64) (tan.f64 x))
accuracy5.9%
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
Samples
191.0ms116×2valid
44.0ms140×1valid
Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 224.0ms
ival-tan: 197.0ms (88% of total)
ival-div: 18.0ms (8% of total)
adjust: 5.0ms (2.2% of total)
ival-sub: 3.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series4.0ms (0%)

Memory
9.1MiB live, 9.1MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#<alt (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 #s(literal 1 binary64) (tan.f64 x))>
#<alt (tan.f64 x)>
Outputs
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))>
#<alt (* -1 (/ (cos x) (sin x)))>
#<alt (- (/ 1 x) (/ (cos x) (sin x)))>
#<alt (- (/ 1 x) (/ (cos x) (sin x)))>
#<alt (- (/ 1 x) (/ (cos x) (sin x)))>
#<alt (* -1 (/ (cos x) (sin x)))>
#<alt (- (/ 1 x) (/ (cos x) (sin x)))>
#<alt (- (/ 1 x) (/ (cos x) (sin x)))>
#<alt (- (/ 1 x) (/ (cos x) (sin x)))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1/3 (pow x 2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) x)>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(- (/ 1 x) (/ 1 (tan x)))
1.0ms
x
@inf
(- (/ 1 x) (/ 1 (tan x)))
1.0ms
x
@0
(- (/ 1 x) (/ 1 (tan x)))
0.0ms
x
@-inf
(/ 1 (tan x))
0.0ms
x
@inf
(/ 1 (tan x))

rewrite213.0ms (1.5%)

Memory
0.7MiB live, 311.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
3 072×lower-fma.f64
3 072×lower-fma.f32
2 002×lower-*.f64
2 002×lower-*.f32
1 374×frac-times
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0617
01017
14917
245417
3570617
0920317
Stop Event
iter limit
node limit
iter limit
Counts
4 → 277
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (tan.f64 x))
(tan.f64 x)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))))) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(+.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x #s(literal 1 binary64)) (*.f64 (tan.f64 x) x))) (*.f64 x (*.f64 x x)))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x #s(literal 1 binary64)) (*.f64 (tan.f64 x) x))))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))))))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x #s(literal 1 binary64)) (*.f64 (tan.f64 x) x))) (*.f64 x (*.f64 x x)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x #s(literal 1 binary64)) (*.f64 (tan.f64 x) x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (*.f64 x x))) (/.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x #s(literal 1 binary64)) (*.f64 (tan.f64 x) x))) (*.f64 x (*.f64 x x)))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x #s(literal 1 binary64)) (*.f64 (tan.f64 x) x))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (tan.f64 x)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x #s(literal 1 binary64)) (*.f64 (tan.f64 x) x)))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x #s(literal 1 binary64)) (*.f64 (tan.f64 x) x))))))
(fma.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 (tan.f64 x) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(fma.f64 (sin.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (tan.f64 x) x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(fma.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x #s(literal 1 binary64)) (*.f64 (tan.f64 x) x)))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x #s(literal 1 binary64)) (*.f64 (tan.f64 x) x))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x #s(literal 1 binary64)) (*.f64 (tan.f64 x) x)))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x #s(literal 1 binary64)) (*.f64 (tan.f64 x) x))))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) x)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(fma.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)) (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (/.f64 (pow.f64 x #s(literal -3/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x #s(literal 1 binary64)) (*.f64 (tan.f64 x) x)))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x #s(literal 1 binary64)) (*.f64 (tan.f64 x) x))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (cos.f64 x) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 (cos.f64 x)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 (tan.f64 x) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(fma.f64 (/.f64 x (tan.f64 x)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 (sin.f64 x) (tan.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
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(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 (cos.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (/.f64 x (tan.f64 x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64))) (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x))) (cos.f64 x))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal -1/2 binary64))) (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (cos.f64 x))
(*.f64 (/.f64 x (*.f64 (sin.f64 x) x)) (cos.f64 x))
(exp.f64 (log.f64 (tan.f64 x)))
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (tan.f64 x))) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (tan.f64 x))
(-.f64 #s(literal 0 binary64) (tan.f64 x))
(tan.f64 x)
(neg.f64 (tan.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 (tan.f64 x) #s(literal 1 binary64))
(/.f64 (tan.f64 x) #s(literal -1 binary64))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (neg.f64 (cos.f64 x)))
(/.f64 (sin.f64 x) (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))
(/.f64 (sin.f64 x) (*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 x))))
(/.f64 (sin.f64 x) (neg.f64 (neg.f64 (cos.f64 x))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (tan.f64 x)))))
(/.f64 (/.f64 (sin.f64 x) #s(literal 1 binary64)) (cos.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (tan.f64 x))
(/.f64 (pow.f64 (tan.f64 x) #s(literal 1/2 binary64)) (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (cos.f64 x))
(pow.f64 (tan.f64 x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (*.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)) (tan.f64 x)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (tan.f64 x))
(*.f64 (tan.f64 x) #s(literal 1 binary64))
(*.f64 (tan.f64 x) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))
(*.f64 (sin.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (tan.f64 x))
(*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))

simplify485.0ms (3.3%)

Memory
16.3MiB live, 609.1MiB allocated
Algorithm
egg-herbie
Rules
18 970×lower-fma.f64
18 970×lower-fma.f32
3 656×lower-*.f64
3 656×lower-*.f32
3 436×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067324
1179324
2458318
31321318
42085318
53083318
63670318
73941318
85080318
97268318
08431300
Stop Event
iter limit
node limit
Counts
48 → 47
Calls
Call 1
Inputs
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) x)
(/ (cos x) (sin x))
(/ (cos x) (sin x))
(/ (cos x) (sin x))
(/ (cos x) (sin x))
(/ (cos x) (sin x))
(/ (cos x) (sin x))
(/ (cos x) (sin x))
(/ (cos x) (sin x))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
Outputs
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* -1 (/ (cos x) (sin x)))
(/.f64 (cos.f64 x) (sin.f64 (neg.f64 x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(* -1 (/ (cos x) (sin x)))
(/.f64 (cos.f64 x) (sin.f64 (neg.f64 x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x)
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) x)
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -2/945 binary64)) #s(literal -1/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) x)
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))

eval62.0ms (0.4%)

Memory
5.3MiB live, 42.9MiB allocated
Compiler

Compiled 5 981 to 755 computations (87.4% saved)

prune73.0ms (0.5%)

Memory
-14.7MiB live, 61.0MiB allocated
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New3222324
Fresh000
Picked101
Done000
Total3232325
Accuracy
99.5%
Counts
325 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
99.3%
(*.f64 #s(literal 1/3 binary64) x)
Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify5.0ms (0%)

Memory
6.8MiB live, 6.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x #s(literal 1/45 binary64))
cost-diff0
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
cost-diff0
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
cost-diff0
(*.f64 #s(literal 1/3 binary64) x)
Rules
38×lower-*.f32
32×lower-*.f64
24×lower-fma.f32
22×lower-fma.f64
12×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0725
01225
12425
23125
33625
03625
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
x
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(*.f64 x #s(literal 1/45 binary64))
#s(literal 1/45 binary64)
#s(literal 1/3 binary64)
Outputs
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
x
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(*.f64 x #s(literal 1/45 binary64))
#s(literal 1/45 binary64)
#s(literal 1/3 binary64)

localize69.0ms (0.5%)

Memory
-9.7MiB live, 31.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
accuracy99.6%
(*.f64 x #s(literal 1/45 binary64))
accuracy99.5%
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
accuracy99.5%
(*.f64 #s(literal 1/3 binary64) x)
Samples
59.0ms256×0valid
Compiler

Compiled 29 to 10 computations (65.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-mult: 45.0ms (85.3% of total)
const: 6.0ms (11.4% of total)
ival-add: 1.0ms (1.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0%)

Memory
3.5MiB live, 3.5MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))>
#<alt (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))>
#<alt (*.f64 x #s(literal 1/45 binary64))>
Outputs
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* 1/45 (pow x 3))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/45 (pow x 3))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/45 (pow x 2)))>
#<alt (+ 1/3 (* 1/45 (pow x 2)))>
#<alt (+ 1/3 (* 1/45 (pow x 2)))>
#<alt (* 1/45 (pow x 2))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/45 (pow x 2))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@0
(* 1/3 x)
0.0ms
x
@inf
(* x (+ (* x (* x 1/45)) 1/3))
0.0ms
x
@0
(* x (+ (* x (* x 1/45)) 1/3))
0.0ms
x
@inf
(* 1/3 x)
0.0ms
x
@-inf
(* 1/3 x)

rewrite794.0ms (5.4%)

Memory
4.9MiB live, 475.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
7 308×lower-fma.f32
7 306×lower-fma.f64
5 168×lower-/.f64
5 168×lower-/.f32
4 704×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0720
01220
13920
221320
3164720
0817520
Stop Event
iter limit
node limit
iter limit
Counts
4 → 362
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(*.f64 x #s(literal 1/45 binary64))
Outputs
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 x #s(literal 1/3 binary64))
(+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/45 binary64)))))
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/45 binary64)))) (*.f64 #s(literal 1/3 binary64) x))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2025 binary64)))) (*.f64 x x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))) (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/45 binary64)))))) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2025 binary64)))) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/45 binary64)))))))
(fma.f64 #s(literal 1/3 binary64) x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/45 binary64)))))
(fma.f64 x #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/45 binary64)))))
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/45 binary64))) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 #s(literal 1/45 binary64) (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 x #s(literal 1/45 binary64)) (*.f64 x x) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/45 binary64))) x (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/45 binary64)) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
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(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/8303765625 binary64)) #s(literal -1/729 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/135 binary64) #s(literal 1/9 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/135 binary64) #s(literal 1/9 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/135 binary64) #s(literal 1/9 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/8303765625 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/91125 binary64)) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/135 binary64) #s(literal 1/9 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal -1/135 binary64) #s(literal 1/9 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2025 binary64))))) (*.f64 #s(literal 1/4100625 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/8303765625 binary64)) #s(literal -1/729 binary64)) (*.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2025 binary64)) #s(literal 1/135 binary64)) #s(literal 1/9 binary64)) (+.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2025 binary64))) #s(literal -1/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/135 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/91125 binary64)) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2025 binary64))) #s(literal -1/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/135 binary64))))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/8303765625 binary64)) #s(literal -1/729 binary64)) (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2025 binary64))) #s(literal -1/9 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/91125 binary64)) #s(literal 1/27 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4100625 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/18225 binary64) #s(literal 1/81 binary64)))) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2025 binary64)) #s(literal 1/135 binary64)) #s(literal 1/9 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/8303765625 binary64)) #s(literal -1/729 binary64)) (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2025 binary64))) #s(literal -1/9 binary64)) (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/91125 binary64)) #s(literal 1/27 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4100625 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/18225 binary64) #s(literal 1/81 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2025 binary64)) #s(literal 1/135 binary64)) #s(literal 1/9 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/8303765625 binary64)) #s(literal -1/729 binary64)) (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2025 binary64))) #s(literal -1/9 binary64)) (neg.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2025 binary64))) #s(literal -1/9 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4100625 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/18225 binary64) #s(literal 1/81 binary64)))) (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/8303765625 binary64)) #s(literal -1/729 binary64)) (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2025 binary64))) #s(literal -1/9 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2025 binary64))))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4100625 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/18225 binary64) #s(literal 1/81 binary64)))) (-.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/45 binary64))))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/4100625 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/81 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/91125 binary64)) #s(literal -1/27 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2025 binary64))) #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2025 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/135 binary64) #s(literal 1/9 binary64))))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/4100625 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/81 binary64)) (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2025 binary64))) #s(literal -1/9 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/91125 binary64)) #s(literal 1/27 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2025 binary64))) #s(literal 1/9 binary64))) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2025 binary64)) #s(literal 1/135 binary64)) #s(literal 1/9 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/4100625 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/81 binary64)) (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2025 binary64))) #s(literal -1/9 binary64)) (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/91125 binary64)) #s(literal 1/27 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2025 binary64))) #s(literal 1/9 binary64))) (neg.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2025 binary64)) #s(literal 1/135 binary64)) #s(literal 1/9 binary64)))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/4100625 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/81 binary64)) (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2025 binary64))) #s(literal -1/9 binary64)) (neg.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2025 binary64))) #s(literal -1/9 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2025 binary64))) #s(literal 1/9 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/4100625 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/81 binary64)) (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2025 binary64))) #s(literal -1/9 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2025 binary64))))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2025 binary64))) #s(literal 1/9 binary64))) (-.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/45 binary64))))))
(*.f64 x #s(literal 1/45 binary64))
(*.f64 #s(literal 1/45 binary64) x)

simplify529.0ms (3.6%)

Memory
-15.6MiB live, 315.5MiB allocated
Algorithm
egg-herbie
Rules
6 632×lower-*.f64
6 632×lower-*.f32
4 134×cube-prod
3 308×lower-pow.f64
3 308×lower-pow.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019240
151240
2106240
3227240
4522240
51554240
61723240
71945240
82231240
92616240
103071240
113638240
123891240
134055240
144163240
154278240
164412240
175141240
186166240
196603240
206817240
216926240
227033240
237157240
247277240
257379240
267481240
277583240
287627240
08324222
Stop Event
iter limit
node limit
Counts
48 → 48
Calls
Call 1
Inputs
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
1/3
(+ 1/3 (* 1/45 (pow x 2)))
(+ 1/3 (* 1/45 (pow x 2)))
(+ 1/3 (* 1/45 (pow x 2)))
(* 1/45 (pow x 2))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/45 (pow x 2))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
Outputs
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
(* 1/45 (pow x 3))
(*.f64 x (*.f64 #s(literal 1/45 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
(* 1/45 (pow x 3))
(*.f64 x (*.f64 #s(literal 1/45 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/45 (pow x 2)))
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(+ 1/3 (* 1/45 (pow x 2)))
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(+ 1/3 (* 1/45 (pow x 2)))
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(* 1/45 (pow x 2))
(*.f64 #s(literal 1/45 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(* 1/45 (pow x 2))
(*.f64 #s(literal 1/45 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))

eval68.0ms (0.5%)

Memory
13.6MiB live, 89.6MiB allocated
Compiler

Compiled 17 315 to 1 234 computations (92.9% saved)

prune78.0ms (0.5%)

Memory
8.8MiB live, 90.3MiB allocated
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New4082410
Fresh000
Picked022
Done000
Total4084412
Accuracy
100.0%
Counts
412 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x))
100.0%
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
99.5%
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
99.3%
(*.f64 #s(literal 1/3 binary64) x)
Compiler

Compiled 35 to 24 computations (31.4% saved)

simplify6.0ms (0%)

Memory
12.4MiB live, 12.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 1/3 binary64) x)
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 x (*.f64 x x))
cost-diff320
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x))
cost-diff0
(*.f64 x #s(literal 1/45 binary64))
cost-diff0
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
cost-diff1088
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
Rules
42×lower-*.f32
34×lower-*.f64
24×lower-fma.f32
22×lower-/.f32
20×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01255
02253
13749
24749
36149
46349
06349
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
x
(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
#s(literal 1 binary64)
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(*.f64 x #s(literal 1/45 binary64))
#s(literal 1/45 binary64)
#s(literal 1/3 binary64)
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
#s(literal 1/45 binary64)
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
Outputs
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
x
(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
#s(literal 1 binary64)
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(*.f64 x #s(literal 1/45 binary64))
#s(literal 1/45 binary64)
#s(literal 1/3 binary64)
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
#s(literal 1/45 binary64)
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)

localize474.0ms (3.2%)

Memory
-2.1MiB live, 74.8MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x))
accuracy100.0%
(*.f64 x x)
accuracy99.9%
(*.f64 x (*.f64 x x))
accuracy99.5%
(*.f64 #s(literal 1/3 binary64) x)
accuracy100.0%
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
accuracy100.0%
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
accuracy99.6%
(*.f64 x #s(literal 1/45 binary64))
Samples
29.0ms256×0valid
Compiler

Compiled 61 to 16 computations (73.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 8.0ms (39.3% of total)
const: 6.0ms (29.5% of total)
ival-div: 3.0ms (14.7% of total)
ival-add: 2.0ms (9.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory
-30.7MiB live, 7.0MiB allocated
Counts
8 → 96
Calls
Call 1
Inputs
#<alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))>
#<alt (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))>
#<alt (*.f64 x #s(literal 1/45 binary64))>
#<alt (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x))>
#<alt (*.f64 x (*.f64 x x))>
#<alt (*.f64 x x)>
#<alt (*.f64 #s(literal 1/3 binary64) x)>
Outputs
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* 1/45 (pow x 3))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/45 (pow x 3))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt 3>
#<alt (+ 3 (* -1/5 (pow x 2)))>
#<alt (+ 3 (* (pow x 2) (- (* 1/75 (pow x 2)) 1/5)))>
#<alt (+ 3 (* (pow x 2) (- (* (pow x 2) (+ 1/75 (* -1/1125 (pow x 2)))) 1/5)))>
#<alt (/ 45 (pow x 2))>
#<alt (/ (- 45 (* 675 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 45 (/ 10125 (pow x 4))) (* 675 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 45 (/ 10125 (pow x 4))) (+ (* 675 (/ 1 (pow x 2))) (* 151875 (/ 1 (pow x 6))))) (pow x 2))>
#<alt (/ 45 (pow x 2))>
#<alt (/ (- 45 (* 675 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 45 (/ 10125 (pow x 4))) (* 675 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 45 (/ 10125 (pow x 4))) (+ (* 675 (/ 1 (pow x 2))) (* 151875 (/ 1 (pow x 6))))) (pow x 2))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/45 (pow x 2)))>
#<alt (+ 1/3 (* 1/45 (pow x 2)))>
#<alt (+ 1/3 (* 1/45 (pow x 2)))>
#<alt (* 1/45 (pow x 2))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/45 (pow x 2))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* 1/45 (pow x 3))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/45 (pow x 3))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
Calls

24 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(* x (* x x))
0.0ms
x
@inf
(+ (* (* x (* x x)) 1/45) (* 1/3 x))
0.0ms
x
@inf
(/ 1 (+ (* x (* x 1/45)) 1/3))
0.0ms
x
@0
(+ (* (* x (* x x)) 1/45) (* 1/3 x))
0.0ms
x
@0
(/ 1 (+ (* x (* x 1/45)) 1/3))

rewrite457.0ms (3.1%)

Memory
15.1MiB live, 685.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
8 252×lower-fma.f32
8 248×lower-fma.f64
5 632×lower-*.f32
5 624×lower-*.f64
2 012×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01248
02246
18042
247742
3489342
0914942
Stop Event
iter limit
node limit
iter limit
Counts
8 → 691
Calls
Call 1
Inputs
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(*.f64 x #s(literal 1/45 binary64))
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 x (*.f64 x x))
(*.f64 x x)
(*.f64 #s(literal 1/3 binary64) x)
Outputs
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (log.f64 x) (log.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))))
(exp.f64 (+.f64 (log.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))) (log.f64 x)))
(exp.f64 (-.f64 (log.f64 x) (neg.f64 (log.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))))))
(+.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 #s(literal 1/45 binary64) (*.f64 x (*.f64 x x))))
(+.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/3 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/2025 binary64) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))) (neg.f64 (*.f64 x (/.f64 #s(literal 1/9 binary64) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/45 binary64) (*.f64 x (*.f64 x x)))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/45 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/3 binary64))))
(+.f64 (*.f64 (neg.f64 x) #s(literal -1/3 binary64)) (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal -1/45 binary64))))
(+.f64 (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal -1/45 binary64))) (*.f64 (neg.f64 x) #s(literal -1/3 binary64)))
(+.f64 (*.f64 #s(literal -1/3 binary64) (neg.f64 x)) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/45 binary64)) (neg.f64 x)))
(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/45 binary64)) (neg.f64 x)) (*.f64 #s(literal -1/3 binary64) (neg.f64 x)))
(-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal -1/3 binary64))))
(-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/2025 binary64) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))) (*.f64 x (/.f64 #s(literal 1/9 binary64) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/2025 binary64) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))) #s(literal 1 binary64)) (/.f64 (*.f64 x (/.f64 #s(literal 1/9 binary64) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal -1/3 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/45 binary64))))) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2025 binary64)))) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/45 binary64))))))
(fma.f64 x #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (*.f64 x (*.f64 x x))))
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/45 binary64))) (*.f64 x #s(literal 1/3 binary64)))
(fma.f64 x (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2025 binary64))) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))) (neg.f64 (*.f64 x (/.f64 #s(literal 1/9 binary64) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))))
(fma.f64 x (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/45 binary64)))) (*.f64 x #s(literal 1/3 binary64)))
(fma.f64 x (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2025 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))) (neg.f64 (*.f64 x (/.f64 #s(literal 1/9 binary64) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))))
(fma.f64 x (exp.f64 (log.f64 #s(literal 1/3 binary64))) (*.f64 #s(literal 1/45 binary64) (*.f64 x (*.f64 x x))))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/3 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/45 binary64) (*.f64 x (*.f64 x x)))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/45 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/3 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2025 binary64))) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))) (neg.f64 (*.f64 x (/.f64 #s(literal 1/9 binary64) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))))
(fma.f64 #s(literal 1/45 binary64) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/45 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/45 binary64) (*.f64 x (*.f64 x x))))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))) (neg.f64 (*.f64 x (/.f64 #s(literal 1/9 binary64) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))))
(fma.f64 (*.f64 x #s(literal 1/45 binary64)) (*.f64 x x) (*.f64 x #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) x (*.f64 #s(literal 1/45 binary64) (*.f64 x (*.f64 x x))))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/3 binary64)))
(fma.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2025 binary64)) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))) (neg.f64 (*.f64 x (/.f64 #s(literal 1/9 binary64) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))))
(fma.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2025 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))) (neg.f64 (*.f64 x (/.f64 #s(literal 1/9 binary64) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))))
(fma.f64 (*.f64 x x) (exp.f64 (log.f64 (*.f64 x #s(literal 1/45 binary64)))) (*.f64 x #s(literal 1/3 binary64)))
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/45 binary64) (*.f64 x #s(literal 1/3 binary64)))
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2025 binary64)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))) (neg.f64 (*.f64 x (/.f64 #s(literal 1/9 binary64) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))))
(fma.f64 (*.f64 x (*.f64 x x)) (exp.f64 (log.f64 #s(literal 1/45 binary64))) (*.f64 x #s(literal 1/3 binary64)))
(fma.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1/45 binary64) (*.f64 x (*.f64 x x))))
(fma.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64) (*.f64 x #s(literal 1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))) (neg.f64 (*.f64 x (/.f64 #s(literal 1/9 binary64) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))))
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/45 binary64))) x (*.f64 x #s(literal 1/3 binary64)))
(fma.f64 (neg.f64 x) #s(literal -1/3 binary64) (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal -1/45 binary64))))
(fma.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal -1/45 binary64)) (*.f64 (neg.f64 x) #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2025 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))) (neg.f64 (*.f64 x (/.f64 #s(literal 1/9 binary64) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/2025 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))) (neg.f64 (*.f64 x (/.f64 #s(literal 1/9 binary64) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))))
(fma.f64 #s(literal -1/3 binary64) (neg.f64 x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/45 binary64)) (neg.f64 x)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/2025 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))) (neg.f64 (*.f64 x (/.f64 #s(literal 1/9 binary64) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))))
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1/45 binary64)) (neg.f64 x) (*.f64 #s(literal -1/3 binary64) (neg.f64 x)))
(fma.f64 (*.f64 x (*.f64 #s(literal 1/45 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 x (*.f64 x #s(literal 1/45 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))) (neg.f64 (*.f64 x (/.f64 #s(literal 1/9 binary64) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))))
(fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2025 binary64)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))) (neg.f64 (*.f64 x (/.f64 #s(literal 1/9 binary64) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/45 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1/45 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))) (neg.f64 (*.f64 x (/.f64 #s(literal 1/9 binary64) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))))
(fma.f64 (/.f64 #s(literal 1/45 binary64) x) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/45 binary64) (*.f64 x (*.f64 x x))))) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))) (neg.f64 (*.f64 x (/.f64 #s(literal 1/9 binary64) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x (*.f64 x x))) x) (/.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))) (neg.f64 (*.f64 x (/.f64 #s(literal 1/9 binary64) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))))
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(*.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/91125 binary64)) #s(literal 1/27 binary64))) (*.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2025 binary64)) #s(literal 1/135 binary64)) #s(literal 1/9 binary64)) (+.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/135 binary64))))) (+.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/135 binary64))))
(*.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64))) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
(*.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/91125 binary64)) #s(literal -1/27 binary64))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2025 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/135 binary64) #s(literal 1/9 binary64))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3/2 binary64) (*.f64 (log.f64 x) #s(literal 3/2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (*.f64 x x) (neg.f64 x)) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 x) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 x))
(*.f64 x (*.f64 x x))
(*.f64 x (*.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 x x) x)
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (-.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) (log.f64 x)))
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 (*.f64 x (*.f64 x x)) x)
(/.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 x (neg.f64 x)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 x) (neg.f64 x)) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(*.f64 x x)
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(exp.f64 (log.f64 (*.f64 x #s(literal 1/3 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 1/3 binary64))
(*.f64 x (exp.f64 (log.f64 #s(literal 1/3 binary64))))
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64))
(*.f64 (exp.f64 (log.f64 #s(literal 1/3 binary64))) x)

simplify280.0ms (1.9%)

Memory
10.7MiB live, 687.7MiB allocated
Algorithm
egg-herbie
Rules
10 646×lower-fma.f64
10 646×lower-fma.f32
2 998×lower-*.f64
2 998×lower-*.f32
2 052×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056558
1135558
2320558
3749558
41734558
53937558
67320558
08093525
Stop Event
iter limit
node limit
Counts
96 → 96
Calls
Call 1
Inputs
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
3
(+ 3 (* -1/5 (pow x 2)))
(+ 3 (* (pow x 2) (- (* 1/75 (pow x 2)) 1/5)))
(+ 3 (* (pow x 2) (- (* (pow x 2) (+ 1/75 (* -1/1125 (pow x 2)))) 1/5)))
(/ 45 (pow x 2))
(/ (- 45 (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 45 (/ 10125 (pow x 4))) (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 45 (/ 10125 (pow x 4))) (+ (* 675 (/ 1 (pow x 2))) (* 151875 (/ 1 (pow x 6))))) (pow x 2))
(/ 45 (pow x 2))
(/ (- 45 (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 45 (/ 10125 (pow x 4))) (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 45 (/ 10125 (pow x 4))) (+ (* 675 (/ 1 (pow x 2))) (* 151875 (/ 1 (pow x 6))))) (pow x 2))
1/3
(+ 1/3 (* 1/45 (pow x 2)))
(+ 1/3 (* 1/45 (pow x 2)))
(+ 1/3 (* 1/45 (pow x 2)))
(* 1/45 (pow x 2))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/45 (pow x 2))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
Outputs
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
(* 1/45 (pow x 3))
(*.f64 x (*.f64 #s(literal 1/45 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
(* 1/45 (pow x 3))
(*.f64 x (*.f64 #s(literal 1/45 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
3
#s(literal 3 binary64)
(+ 3 (* -1/5 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64))
(+ 3 (* (pow x 2) (- (* 1/75 (pow x 2)) 1/5)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/75 binary64) #s(literal -1/5 binary64)) #s(literal 3 binary64))
(+ 3 (* (pow x 2) (- (* (pow x 2) (+ 1/75 (* -1/1125 (pow x 2)))) 1/5)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/1125 binary64) #s(literal 1/75 binary64)) #s(literal -1/5 binary64)) #s(literal 3 binary64))
(/ 45 (pow x 2))
(/.f64 #s(literal 45 binary64) (*.f64 x x))
(/ (- 45 (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 45 binary64) (/.f64 #s(literal -675 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (+ 45 (/ 10125 (pow x 4))) (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 45 binary64) (/.f64 #s(literal -675 binary64) (*.f64 x x))) (/.f64 #s(literal 10125 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x))
(/ (- (+ 45 (/ 10125 (pow x 4))) (+ (* 675 (/ 1 (pow x 2))) (* 151875 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 45 binary64) (/.f64 #s(literal 10125 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 (/.f64 #s(literal -675 binary64) (*.f64 x x)) (/.f64 #s(literal -151875 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x x))
(/ 45 (pow x 2))
(/.f64 #s(literal 45 binary64) (*.f64 x x))
(/ (- 45 (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 45 binary64) (/.f64 #s(literal -675 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (+ 45 (/ 10125 (pow x 4))) (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 45 binary64) (/.f64 #s(literal -675 binary64) (*.f64 x x))) (/.f64 #s(literal 10125 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x))
(/ (- (+ 45 (/ 10125 (pow x 4))) (+ (* 675 (/ 1 (pow x 2))) (* 151875 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 45 binary64) (/.f64 #s(literal 10125 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 (/.f64 #s(literal -675 binary64) (*.f64 x x)) (/.f64 #s(literal -151875 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x x))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/45 (pow x 2)))
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(+ 1/3 (* 1/45 (pow x 2)))
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(+ 1/3 (* 1/45 (pow x 2)))
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(* 1/45 (pow x 2))
(*.f64 #s(literal 1/45 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(* 1/45 (pow x 2))
(*.f64 #s(literal 1/45 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
(* 1/45 (pow x 3))
(*.f64 x (*.f64 #s(literal 1/45 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
(* 1/45 (pow x 3))
(*.f64 x (*.f64 #s(literal 1/45 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)

eval93.0ms (0.6%)

Memory
5.9MiB live, 235.3MiB allocated
Compiler

Compiled 21 041 to 1 465 computations (93% saved)

prune60.0ms (0.4%)

Memory
-7.7MiB live, 156.4MiB allocated
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New7861787
Fresh000
Picked112
Done022
Total7874791
Accuracy
100.0%
Counts
791 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x))
99.7%
(/.f64 x #s(literal 3 binary64))
99.5%
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
99.3%
(*.f64 #s(literal 1/3 binary64) x)
Compiler

Compiled 28 to 19 computations (32.1% saved)

simplify4.0ms (0%)

Memory
8.8MiB live, 8.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x #s(literal 3 binary64))
Rules
lift-/.f64
lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035
045
045
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
Outputs
(/.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)

localize12.0ms (0.1%)

Memory
-13.9MiB live, 27.6MiB allocated
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 x #s(literal 3 binary64))
Samples
6.0ms256×0valid
Compiler

Compiled 7 to 5 computations (28.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-div: 2.0ms (90.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Counts
1 → 12
Calls
Call 1
Inputs
#<alt (/.f64 x #s(literal 3 binary64))>
Outputs
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/ x 3)
0.0ms
x
@inf
(/ x 3)
0.0ms
x
@-inf
(/ x 3)

rewrite184.0ms (1.3%)

Memory
47.2MiB live, 319.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
3 406×lower-fma.f64
3 406×lower-fma.f32
2 330×lower-*.f64
2 330×lower-*.f32
1 942×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033
043
1143
2393
31413
46463
564463
083693
Stop Event
iter limit
node limit
iter limit
Counts
1 → 341
Calls
Call 1
Inputs
(/.f64 x #s(literal 3 binary64))
Outputs
(exp.f64 (log.f64 (*.f64 x #s(literal 1/3 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 1/3 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 1/3 binary64)))) #s(literal -1/2 binary64) (*.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 1/3 binary64)))) #s(literal -1/2 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 1/3 binary64)))
(+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal 1/3 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -3 binary64) (*.f64 x x))) (*.f64 x #s(literal 1/3 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x #s(literal -3 binary64))) (*.f64 x #s(literal 1/3 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 1/9 binary64))) (*.f64 x #s(literal 1/3 binary64)))
(fma.f64 x #s(literal 1/3 binary64) #s(literal 0 binary64))
(fma.f64 x #s(literal -1/3 binary64) #s(literal 0 binary64))
(fma.f64 x (pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 x (*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) #s(literal 1/3 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) #s(literal -1/3 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) (*.f64 (pow.f64 #s(literal -3 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/3 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1/3 binary64) x #s(literal 0 binary64))
(fma.f64 #s(literal 1/3 binary64) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/3 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1/3 binary64) x #s(literal 0 binary64))
(fma.f64 #s(literal -1/3 binary64) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1/3 binary64) (*.f64 x (neg.f64 x))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/3 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -3 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) (/.f64 #s(literal -1/3 binary64) (neg.f64 x)) #s(literal 0 binary64))
(fma.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal -1/3 binary64) x) #s(literal 0 binary64))
(fma.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 x (neg.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/3 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x (neg.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x (neg.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x (neg.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))) (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64)))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))) (*.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64)))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))) (/.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 x #s(literal 1/3 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))))) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 x #s(literal 1/3 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -1/3 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))))) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -3 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal -3 binary64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 x #s(literal 1/3 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal -3 binary64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) (*.f64 (pow.f64 #s(literal -3 binary64) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 x #s(literal 1/3 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) (*.f64 (pow.f64 #s(literal -3 binary64) #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))))) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/3 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (/.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (/.f64 #s(literal 3 binary64) x) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 x #s(literal 1/3 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64)))) (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64)))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64)))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64)))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 3 binary64) x)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 3 binary64) x)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) x #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 #s(literal -3 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 #s(literal -3 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/3 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal -3 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal -3 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (neg.f64 (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x (neg.f64 x)) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1/3 binary64) x) (*.f64 x (neg.f64 x)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (neg.f64 x)) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 x (neg.f64 x)) (pow.f64 x #s(literal 1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))) x #s(literal 0 binary64))
(fma.f64 (*.f64 (pow.f64 #s(literal -3 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal -1/2 binary64))) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (*.f64 x #s(literal 1/3 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))))) (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))))) (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal -1/2 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))) (pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64)))) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64)))) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64)))) (pow.f64 #s(literal -3 binary64) #s(literal -1/2 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) #s(literal 0 binary64))
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(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))))))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 x #s(literal 1/3 binary64)))))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))))))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -3 binary64)))
(*.f64 (pow.f64 #s(literal -3 binary64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 x #s(literal 1/3 binary64)))))
(*.f64 (pow.f64 #s(literal -3 binary64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) (*.f64 (pow.f64 #s(literal -3 binary64) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 x #s(literal 1/3 binary64)))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) (*.f64 (pow.f64 #s(literal -3 binary64) #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))))))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/3 binary64)))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (/.f64 #s(literal 9 binary64) (*.f64 x x)))
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (/.f64 #s(literal 3 binary64) x))
(*.f64 (pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 x #s(literal 1/3 binary64)))))
(*.f64 (pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))))))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64)))) (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64)))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64)))))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64)))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 3 binary64) x)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 3 binary64) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (pow.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) x)
(*.f64 (pow.f64 (pow.f64 #s(literal -3 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 #s(literal -3 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -3 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (pow.f64 (/.f64 #s(literal -3 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 #s(literal 1/3 binary64) (neg.f64 (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (*.f64 x (neg.f64 x)) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal -1/3 binary64) x) (*.f64 x (neg.f64 x)))
(*.f64 (/.f64 #s(literal -1/3 binary64) (neg.f64 x)) (*.f64 x x))
(*.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 x (neg.f64 x)) (pow.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(*.f64 (*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))) x)
(*.f64 (*.f64 (pow.f64 #s(literal -3 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -3 binary64) #s(literal -1/2 binary64))) (neg.f64 x))
(*.f64 (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (*.f64 x #s(literal 1/3 binary64)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))))) (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))))
(*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))))) (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal -1/2 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))) (pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64)))) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64)))) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64)))) (pow.f64 #s(literal -3 binary64) #s(literal -1/2 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64)))) (pow.f64 (neg.f64 x) #s(literal 1/2 binary64))) (pow.f64 #s(literal -3 binary64) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64)))) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/3 binary64)))) (pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1/4 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (neg.f64 x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 3 binary64) x))) (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 3 binary64) x)))) (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))))
(*.f64 (/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x))
(*.f64 (/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64))) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (neg.f64 x)))
(*.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (neg.f64 x))) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x (neg.f64 x)))
(*.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (neg.f64 x))) (*.f64 x (neg.f64 x))) (neg.f64 x))
(*.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (neg.f64 x))) (*.f64 x (*.f64 x x))) (*.f64 x x))
(*.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (neg.f64 x))) (*.f64 x x)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 3 binary64) x)))) (sqrt.f64 (*.f64 x #s(literal 1/3 binary64))))

simplify8.0ms (0.1%)

Memory
-33.6MiB live, 8.0MiB allocated
Algorithm
egg-herbie
Rules
lower-*.f64
lower-*.f32
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0336
1436
0436
Stop Event
iter limit
saturated
Counts
12 → 12
Calls
Call 1
Inputs
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
Outputs
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)

eval36.0ms (0.2%)

Memory
22.9MiB live, 58.8MiB allocated
Compiler

Compiled 3 904 to 559 computations (85.7% saved)

prune42.0ms (0.3%)

Memory
7.9MiB live, 83.1MiB allocated
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New3530353
Fresh000
Picked011
Done033
Total3534357
Accuracy
100.0%
Counts
357 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x))
99.7%
(/.f64 x #s(literal 3 binary64))
99.5%
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
99.3%
(*.f64 #s(literal 1/3 binary64) x)
Compiler

Compiled 71 to 38 computations (46.5% saved)

regimes22.0ms (0.2%)

Memory
-40.9MiB live, 11.6MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) x)
(/.f64 x #s(literal 3 binary64))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
Outputs
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
Calls

2 calls:

20.0ms
x
2.0ms
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes4.0ms (0%)

Memory
9.3MiB live, 9.3MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) x)
(/.f64 x #s(literal 3 binary64))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x))
Outputs
(/.f64 x #s(literal 3 binary64))
Calls

2 calls:

2.0ms
x
2.0ms
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
Results
AccuracySegmentsBranch
99.7%1x
99.7%1(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes2.0ms (0%)

Memory
6.5MiB live, 6.5MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) x)
Outputs
(*.f64 #s(literal 1/3 binary64) x)
Calls

2 calls:

1.0ms
x
1.0ms
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
Results
AccuracySegmentsBranch
99.3%1x
99.3%1(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify5.0ms (0%)

Memory
13.0MiB live, 13.0MiB allocated
Algorithm
egg-herbie
Rules
*-commutative_binary64
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01116
11616
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
(/.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 1/3 binary64) x)
Outputs
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
(/.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 x #s(literal 1/3 binary64))

soundness543.0ms (3.7%)

Memory
8.9MiB live, 352.0MiB allocated
Rules
18 970×lower-fma.f64
18 970×lower-fma.f32
10 646×lower-fma.f64
10 646×lower-fma.f32
7 308×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056558
1135558
2320558
3749558
41734558
53937558
67320558
08093525
0720
01220
13920
221320
3164720
0817520
067324
1179324
2458318
31321318
42085318
53083318
63670318
73941318
85080318
97268318
08431300
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 65 to 45 computations (30.8% saved)

preprocess40.0ms (0.3%)

Memory
-0.2MiB live, 77.3MiB allocated
Remove

(negabs x)

Compiler

Compiled 146 to 100 computations (31.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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