invcot (example 3.9)

Time bar (total: 15.0s)

analyze5.0ms (0%)

Memory
11.8MiB live, 11.8MiB 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)

sample9.0s (59.9%)

Memory
59.8MiB live, 10 070.4MiB allocated
Samples
7.2s3 822×2valid
1.4s4 351×1valid
7.0ms83×0valid
Precisions
Click to see histograms. Total time spent on operations: 8.3s
ival-tan: 7.1s (86.1% of total)
ival-div: 452.0ms (5.4% of total)
const: 263.0ms (3.2% of total)
ival-sub: 180.0ms (2.2% of total)
adjust: 171.0ms (2.1% of total)
ival-<: 58.0ms (0.7% of total)
exact: 13.0ms (0.2% of total)
ival-and: 12.0ms (0.1% of total)
ival-assert: 4.0ms (0% of total)
Bogosity

preprocess26.0ms (0.2%)

Memory
17.2MiB live, 56.4MiB 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)

explain536.0ms (3.6%)

Memory
-12.7MiB live, 773.0MiB 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
369.0ms240×2valid
106.0ms266×1valid
0.0ms0valid
Compiler

Compiled 60 to 28 computations (53.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 440.0ms
ival-tan: 402.0ms (91.4% of total)
ival-div: 19.0ms (4.3% of total)
adjust: 10.0ms (2.3% of total)
ival-sub: 7.0ms (1.6% of total)
exact: 1.0ms (0.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.6%
(-.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
21.2MiB live, 21.2MiB 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 (1.6%)

Memory
-15.1MiB live, 346.6MiB 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))
accuracy6.6%
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
Samples
192.0ms120×2valid
40.0ms133×1valid
0.0ms0valid
Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 220.0ms
ival-tan: 180.0ms (81.9% of total)
ival-div: 32.0ms (14.6% of total)
adjust: 5.0ms (2.3% of total)
ival-sub: 3.0ms (1.4% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series4.0ms (0%)

Memory
8.5MiB live, 8.5MiB 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))

rewrite342.0ms (2.3%)

Memory
20.5MiB live, 249.6MiB 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))

simplify497.0ms (3.3%)

Memory
-18.9MiB live, 574.1MiB 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))

eval56.0ms (0.4%)

Memory
33.2MiB live, 70.3MiB allocated
Compiler

Compiled 5 981 to 755 computations (87.4% saved)

prune43.0ms (0.3%)

Memory
-28.0MiB live, 89.6MiB allocated
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New3213324
Fresh000
Picked101
Done000
Total3223325
Accuracy
99.5%
Counts
325 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(*.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)))
99.5%
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
99.0%
(*.f64 #s(literal 1/3 binary64) x)
Compiler

Compiled 27 to 18 computations (33.3% saved)

simplify11.0ms (0.1%)

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

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(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))
cost-diff0
(*.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)))
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
232×lower-fma.f32
226×lower-fma.f64
144×lower-*.f32
132×lower-*.f64
70×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01365
02565
15665
211665
319165
420365
520865
020865
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)
(*.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
(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))
(*.f64 x x)
(fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64))
(*.f64 x #s(literal 2/945 binary64))
#s(literal 2/945 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)
(*.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
(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))
(*.f64 x x)
(fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64))
(*.f64 x #s(literal 2/945 binary64))
#s(literal 2/945 binary64)
#s(literal 1/45 binary64)
#s(literal 1/3 binary64)

localize57.0ms (0.4%)

Memory
-2.1MiB live, 113.9MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(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))
accuracy100.0%
(fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64))
accuracy99.5%
(*.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)))
accuracy99.4%
(*.f64 x #s(literal 2/945 binary64))
accuracy100.0%
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
accuracy99.7%
(*.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
38.0ms256×0valid
Compiler

Compiled 74 to 18 computations (75.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
const: 13.0ms (45.5% of total)
ival-mult: 12.0ms (42% of total)
ival-add: 3.0ms (10.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
-19.9MiB live, 19.0MiB allocated
Counts
9 → 108
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))>
#<alt (*.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)))>
#<alt (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))>
#<alt (*.f64 x x)>
#<alt (fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64))>
#<alt (*.f64 x #s(literal 2/945 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)>
#<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 (* 2/945 (pow x 2))))))>
#<alt (* 2/945 (pow x 5))>
#<alt (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* 2/945 (pow x 5))>
#<alt (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/45 (pow x 2)))>
#<alt (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))>
#<alt (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))>
#<alt (* 2/945 (pow x 4))>
#<alt (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* 2/945 (pow x 4))>
#<alt (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (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 (pow x 2)>
#<alt 1/45>
#<alt (+ 1/45 (* 2/945 (pow x 2)))>
#<alt (+ 1/45 (* 2/945 (pow x 2)))>
#<alt (+ 1/45 (* 2/945 (pow x 2)))>
#<alt (* 2/945 (pow x 2))>
#<alt (* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* 2/945 (pow x 2))>
#<alt (* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* 2/945 x)>
#<alt (* 2/945 x)>
#<alt (* 2/945 x)>
#<alt (* 2/945 x)>
#<alt (* 2/945 x)>
#<alt (* 2/945 x)>
#<alt (* 2/945 x)>
#<alt (* 2/945 x)>
#<alt (* 2/945 x)>
#<alt (* 2/945 x)>
#<alt (* 2/945 x)>
#<alt (* 2/945 x)>
Calls

27 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(* x x)
1.0ms
x
@0
(+ (* (* x x) (+ (* x (* x 2/945)) 1/45)) 1/3)
1.0ms
x
@0
(* 1/3 x)
0.0ms
x
@0
(* x (+ (* x (* x 1/45)) 1/3))
0.0ms
x
@inf
(* x (+ (* x (* x 1/45)) 1/3))

rewrite383.0ms (2.6%)

Memory
5.9MiB live, 600.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
8 508×lower-fma.f32
8 502×lower-fma.f64
5 004×lower-*.f32
4 992×lower-*.f64
2 486×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01356
02556
19756
265356
3632956
0815856
Stop Event
iter limit
node limit
iter limit
Counts
9 → 392
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))
(*.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)))
(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))
(*.f64 x x)
(fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64))
(*.f64 x #s(literal 2/945 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 #s(literal 1/45 binary64) (*.f64 x x))))
(+.f64 (*.f64 x (*.f64 #s(literal 1/45 binary64) (*.f64 x x))) (*.f64 #s(literal 1/3 binary64) x))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.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)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))))
(fma.f64 #s(literal 1/3 binary64) x (*.f64 x (*.f64 #s(literal 1/45 binary64) (*.f64 x x))))
(fma.f64 x #s(literal 1/3 binary64) (*.f64 x (*.f64 #s(literal 1/45 binary64) (*.f64 x x))))
(fma.f64 x (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) (*.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 x) (*.f64 x #s(literal 1/45 binary64)) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) x (*.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 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/91125 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2025 binary64))) (*.f64 (*.f64 x x) #s(literal 1/9 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/135 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/91125 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2025 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/135 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2025 binary64))) (*.f64 (*.f64 x x) #s(literal 1/9 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/135 binary64)))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/91125 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))) (*.f64 (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))))
(/.f64 #s(literal 1 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 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/91125 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64)))))
(/.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))) (*.f64 x (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))))
(/.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/91125 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/27 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 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64))) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/91125 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2025 binary64))) (*.f64 (*.f64 x x) #s(literal 1/9 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/135 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))) (neg.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/91125 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/27 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 (neg.f64 (*.f64 x (fma.f64 (*.f64 x 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 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2025 binary64))))) (-.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x (*.f64 #s(literal 1/45 binary64) (*.f64 x x)))))
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))))
(/.f64 (*.f64 x (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/91125 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/27 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 x (neg.f64 (fma.f64 (*.f64 x 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 x (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2025 binary64))))) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (*.f64 x x))))
(/.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))))
(/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/91125 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/27 binary64))) x) (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 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64))) x) (fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2025 binary64)))) x) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (*.f64 x x))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2025 binary64))) (*.f64 (*.f64 x x) #s(literal 1/9 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/135 binary64)))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/91125 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))) (*.f64 (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.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 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/91125 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/27 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64)))) #s(literal -1 binary64))
(*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
(*.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x)
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/91125 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/27 binary64)) (*.f64 (/.f64 #s(literal 1 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))) x))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/91125 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/27 binary64)) (/.f64 x (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 (*.f64 x 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 #s(literal 1/45 binary64)) #s(literal -1/3 binary64))) x))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64)) (/.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))
(*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/91125 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2025 binary64))) (*.f64 (*.f64 x x) #s(literal 1/9 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/135 binary64))))))
(*.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))))
(*.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/91125 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 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 x (fma.f64 (*.f64 x 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 #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))
(*.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/91125 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/27 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 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/8303765625 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 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2025 binary64)))) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/4100625 binary64))))
(*.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/91125 binary64) (*.f64 x (*.f64 x x))) #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 (*.f64 x 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 (fma.f64 (*.f64 x 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 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.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 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/91125 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/27 binary64))) (fma.f64 #s(literal 1/2025 binary64) (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) #s(literal 1/135 binary64) #s(literal 1/9 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))) #s(literal -1 binary64)))
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/45 binary64) (*.f64 x x)))
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(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/843908625 binary64)) #s(literal 1/91125 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -2/42525 binary64) #s(literal 1/2025 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -2/42525 binary64) #s(literal 1/2025 binary64)) (fma.f64 (*.f64 x x) #s(literal -2/42525 binary64) #s(literal 1/2025 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 64/712181767349390625 binary64)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -2/42525 binary64) #s(literal 1/2025 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal -2/42525 binary64) #s(literal 1/2025 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/893025 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 16/797493650625 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/843908625 binary64)) #s(literal 1/91125 binary64)) (*.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 4/893025 binary64)) #s(literal 2/42525 binary64)) #s(literal 1/2025 binary64)) (+.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 4/893025 binary64))) #s(literal -1/2025 binary64)) (*.f64 (*.f64 x x) #s(literal 2/42525 binary64))))) (+.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 4/893025 binary64))) #s(literal -1/2025 binary64)) (*.f64 (*.f64 x x) #s(literal 2/42525 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 4/893025 binary64))) #s(literal -1/2025 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/843908625 binary64)) #s(literal -1/91125 binary64))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/893025 binary64) (fma.f64 (*.f64 x x) #s(literal 2/42525 binary64) #s(literal 1/2025 binary64))))
(*.f64 x #s(literal 2/945 binary64))
(*.f64 #s(literal 2/945 binary64) x)

simplify330.0ms (2.2%)

Memory
26.4MiB live, 462.5MiB allocated
Algorithm
egg-herbie
Rules
11 042×lower-fma.f64
11 042×lower-fma.f32
3 760×lower-*.f64
3 760×lower-*.f32
2 556×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048638
1148638
2365638
3829638
41737638
54356638
67780638
08136581
Stop Event
iter limit
node limit
Counts
108 → 108
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)
(* 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 (* 2/945 (pow x 2))))))
(* 2/945 (pow x 5))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* 2/945 (pow x 5))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))
1/3
(+ 1/3 (* 1/45 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))
(* 2/945 (pow x 4))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* 2/945 (pow x 4))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (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)
(pow x 2)
1/45
(+ 1/45 (* 2/945 (pow x 2)))
(+ 1/45 (* 2/945 (pow x 2)))
(+ 1/45 (* 2/945 (pow x 2)))
(* 2/945 (pow x 2))
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* 2/945 (pow x 2))
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* 2/945 x)
(* 2/945 x)
(* 2/945 x)
(* 2/945 x)
(* 2/945 x)
(* 2/945 x)
(* 2/945 x)
(* 2/945 x)
(* 2/945 x)
(* 2/945 x)
(* 2/945 x)
(* 2/945 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 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* 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 (* 1/45 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* 1/45 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/45 binary64))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* 1/45 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/45 binary64))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/45 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(+ 1/3 (* 1/45 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(+ 1/3 (* 1/45 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(* 1/45 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/45 binary64)))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(* 1/45 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/45 binary64)))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #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 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 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #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 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))) #s(literal 1/3 binary64)))
(* 2/945 (pow x 5))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/945 binary64))))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))))
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))) #s(literal 1/3 binary64)))
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))) #s(literal 1/3 binary64)))
(* 2/945 (pow x 5))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/945 binary64))))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))) #s(literal 1/3 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))) #s(literal 1/3 binary64)))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/45 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))) #s(literal 1/3 binary64))
(+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))) #s(literal 1/3 binary64))
(* 2/945 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/945 binary64))))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))))
(* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))) #s(literal 1/3 binary64))
(* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))) #s(literal 1/3 binary64))
(* 2/945 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/945 binary64))))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))))
(* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))) #s(literal 1/3 binary64))
(* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))) #s(literal 1/3 binary64))
(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)
1/45
#s(literal 1/45 binary64)
(+ 1/45 (* 2/945 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))
(+ 1/45 (* 2/945 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))
(+ 1/45 (* 2/945 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))
(* 2/945 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/945 binary64))
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))
(* 2/945 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/945 binary64))
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))
(* 2/945 x)
(*.f64 x #s(literal 2/945 binary64))
(* 2/945 x)
(*.f64 x #s(literal 2/945 binary64))
(* 2/945 x)
(*.f64 x #s(literal 2/945 binary64))
(* 2/945 x)
(*.f64 x #s(literal 2/945 binary64))
(* 2/945 x)
(*.f64 x #s(literal 2/945 binary64))
(* 2/945 x)
(*.f64 x #s(literal 2/945 binary64))
(* 2/945 x)
(*.f64 x #s(literal 2/945 binary64))
(* 2/945 x)
(*.f64 x #s(literal 2/945 binary64))
(* 2/945 x)
(*.f64 x #s(literal 2/945 binary64))
(* 2/945 x)
(*.f64 x #s(literal 2/945 binary64))
(* 2/945 x)
(*.f64 x #s(literal 2/945 binary64))
(* 2/945 x)
(*.f64 x #s(literal 2/945 binary64))

eval66.0ms (0.4%)

Memory
-10.0MiB live, 143.2MiB allocated
Compiler

Compiled 16 475 to 1 268 computations (92.3% saved)

prune49.0ms (0.3%)

Memory
-0.1MiB live, 120.9MiB allocated
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New4964500
Fresh000
Picked033
Done000
Total4967503
Accuracy
100.0%
Counts
503 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/3 binary64) x))
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 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))))
99.4%
(*.f64 (*.f64 x (fma.f64 (*.f64 x 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 #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))
99.5%
(*.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)))
99.5%
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
99.0%
(*.f64 #s(literal 1/3 binary64) x)
Compiler

Compiled 87 to 56 computations (35.6% saved)

simplify37.0ms (0.2%)

Memory
18.6MiB live, 56.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x (*.f64 x x))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))
cost-diff320
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/3 binary64) x))
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 x)
cost-diff0
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
cost-diff1088
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64))
cost-diff0
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64)))
cost-diff320
(*.f64 (*.f64 x (fma.f64 (*.f64 x 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 #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))
Rules
648×lower-*.f32
634×lower-*.f64
504×lower-fma.f32
492×lower-fma.f64
338×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024165
046159
194150
2174144
3356144
4774144
5827144
6837144
7837144
8837144
9844144
0844141
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 x (fma.f64 (*.f64 x 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 #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64)))
x
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64))
(*.f64 x x)
(*.f64 (*.f64 x x) #s(literal 1/2025 binary64))
#s(literal 1/2025 binary64)
#s(literal -1/9 binary64)
(/.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)
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))))
x
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
#s(literal 1/45 binary64)
(*.f64 x x)
#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)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))
(*.f64 x x)
x
#s(literal 2/945 binary64)
#s(literal 1/45 binary64)
(*.f64 x (*.f64 x x))
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
Outputs
(*.f64 (*.f64 x (fma.f64 (*.f64 x 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 #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64))) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64)))
x
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64))
(*.f64 x x)
(*.f64 (*.f64 x x) #s(literal 1/2025 binary64))
#s(literal 1/2025 binary64)
#s(literal -1/9 binary64)
(/.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)
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #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 #s(literal 1/45 binary64) (*.f64 x x) #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)))
#s(literal 1 binary64)
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
#s(literal 1/45 binary64)
(*.f64 x x)
#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)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/3 binary64) x))
(*.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)))
(fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))
(fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64))
(*.f64 x x)
x
#s(literal 2/945 binary64)
#s(literal 1/45 binary64)
(*.f64 x (*.f64 x x))
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)

localize145.0ms (1%)

Memory
-12.5MiB live, 198.1MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/3 binary64) x))
accuracy100.0%
(fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))
accuracy99.8%
(*.f64 x (*.f64 x x))
accuracy99.5%
(*.f64 #s(literal 1/3 binary64) x)
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x))
accuracy99.8%
(*.f64 x (*.f64 x x))
accuracy99.5%
(*.f64 #s(literal 1/3 binary64) x)
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
accuracy100.0%
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))))
accuracy100.0%
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
accuracy99.8%
(*.f64 (*.f64 x x) #s(literal 1/2025 binary64))
accuracy99.7%
(*.f64 x #s(literal 1/45 binary64))
accuracy99.6%
(*.f64 (*.f64 x (fma.f64 (*.f64 x 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 #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))
accuracy99.5%
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64)))
Samples
66.0ms256×0valid
Compiler

Compiled 180 to 32 computations (82.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
const: 19.0ms (39.1% of total)
ival-mult: 18.0ms (37.1% of total)
ival-add: 6.0ms (12.4% of total)
ival-div: 5.0ms (10.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
-16.6MiB live, 18.1MiB allocated
Counts
14 → 168
Calls
Call 1
Inputs
#<alt (*.f64 (*.f64 x (fma.f64 (*.f64 x 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 #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))>
#<alt (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64)))>
#<alt (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64))>
#<alt (*.f64 x x)>
#<alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))>
#<alt (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 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 #s(literal 1/3 binary64) x)>
#<alt (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/3 binary64) x))>
#<alt (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))>
#<alt (*.f64 x #s(literal 1/45 binary64))>
#<alt (*.f64 (*.f64 x x) #s(literal 1/2025 binary64))>
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 (* -1/9 x)>
#<alt (* x (- (* 1/2025 (pow x 4)) 1/9))>
#<alt (* x (- (* 1/2025 (pow x 4)) 1/9))>
#<alt (* x (- (* 1/2025 (pow x 4)) 1/9))>
#<alt (* 1/2025 (pow x 5))>
#<alt (* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))>
#<alt (* 1/2025 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))>
#<alt (* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))>
#<alt (* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))>
#<alt -1/9>
#<alt (- (* 1/2025 (pow x 4)) 1/9)>
#<alt (- (* 1/2025 (pow x 4)) 1/9)>
#<alt (- (* 1/2025 (pow x 4)) 1/9)>
#<alt (* 1/2025 (pow x 4))>
#<alt (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))>
#<alt (* 1/2025 (pow x 4))>
#<alt (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))>
#<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 (* 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 (* 1/3 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 (* 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 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))>
#<alt (* 2/945 (pow x 5))>
#<alt (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* 2/945 (pow x 5))>
#<alt (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))>
#<alt 1/45>
#<alt (+ 1/45 (* 2/945 (pow x 2)))>
#<alt (+ 1/45 (* 2/945 (pow x 2)))>
#<alt (+ 1/45 (* 2/945 (pow x 2)))>
#<alt (* 2/945 (pow x 2))>
#<alt (* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* 2/945 (pow x 2))>
#<alt (* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2/945 (* 1/45 (/ 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 (* 1/2025 (pow x 2))>
#<alt (* 1/2025 (pow x 2))>
#<alt (* 1/2025 (pow x 2))>
#<alt (* 1/2025 (pow x 2))>
#<alt (* 1/2025 (pow x 2))>
#<alt (* 1/2025 (pow x 2))>
#<alt (* 1/2025 (pow x 2))>
#<alt (* 1/2025 (pow x 2))>
#<alt (* 1/2025 (pow x 2))>
#<alt (* 1/2025 (pow x 2))>
#<alt (* 1/2025 (pow x 2))>
#<alt (* 1/2025 (pow x 2))>
Calls

42 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(* (* x x) 1/2025)
1.0ms
x
@inf
(* (* x (+ (* (* x x) (* (* x x) 1/2025)) -1/9)) (/ 1 (+ (* x (* x 1/45)) -1/3)))
1.0ms
x
@0
(* (* x (+ (* (* x x) (* (* x x) 1/2025)) -1/9)) (/ 1 (+ (* x (* x 1/45)) -1/3)))
0.0ms
x
@inf
(* x (+ (* (* x x) (* (* x x) 1/2025)) -1/9))
0.0ms
x
@inf
(+ (* (* x (* x x)) 1/45) (* 1/3 x))

rewrite453.0ms (3%)

Memory
35.8MiB live, 704.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 754×lower-fma.f32
5 742×lower-fma.f64
5 286×lower-*.f32
5 272×lower-*.f64
4 798×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024117
046129
119990
2131290
0826788
Stop Event
iter limit
node limit
iter limit
Counts
14 → 1 433
Calls
Call 1
Inputs
(*.f64 (*.f64 x (fma.f64 (*.f64 x 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 #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64)))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64))
(*.f64 x x)
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #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))
(*.f64 #s(literal 1/3 binary64) x)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))
(*.f64 x #s(literal 1/45 binary64))
(*.f64 (*.f64 x x) #s(literal 1/2025 binary64))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))) #s(literal -1 binary64)))
(+.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/45 binary64)))))
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/45 binary64)))) (*.f64 x #s(literal 1/3 binary64)))
(+.f64 (/.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 x (*.f64 x 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 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2025 binary64))))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))) (*.f64 x #s(literal -1/9 binary64))))
(+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2025 binary64)))))) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))) (/.f64 (*.f64 x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
(-.f64 (/.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 x (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 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))) (*.f64 (neg.f64 x) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/45 binary64)))))) (/.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 x #s(literal 1/3 binary64)) (*.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 x #s(literal 1/3 binary64)))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #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 (*.f64 x #s(literal 1/45 binary64)) (*.f64 x x) (*.f64 x #s(literal 1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2025 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))) (*.f64 x #s(literal -1/9 binary64))))
(fma.f64 #s(literal 1/3 binary64) x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/45 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 #s(literal 1/45 binary64))) x (*.f64 x #s(literal 1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.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 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2025 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))) (/.f64 (*.f64 x #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 (*.f64 x (*.f64 x #s(literal 1/45 binary64))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/45 binary64))))) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))))
(fma.f64 (/.f64 (*.f64 x x) x) (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2025 binary64))))) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))))
(fma.f64 (/.f64 #s(literal 1/2025 binary64) x) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 x (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 (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/45 binary64))))) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) x) (/.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/45 binary64))))) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/45 binary64)))) x) (/.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/45 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))))
(fma.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x 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 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))))
(fma.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/45 binary64)))) x) x) (/.f64 (*.f64 x (*.f64 x #s(literal 1/45 binary64))) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))))
(fma.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/45 binary64)))) #s(literal 1/45 binary64)) x) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))))
(fma.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/45 binary64)))) (*.f64 x (*.f64 x x))) x) (/.f64 #s(literal 1/45 binary64) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))))
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
(/.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2025 binary64)))) #s(literal -1/9 binary64))) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))
(/.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2025 binary64)))) #s(literal -1/9 binary64))) (neg.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/45 binary64))))))
(/.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2025 binary64)))) #s(literal -1/9 binary64))) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/45 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (-.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/45 binary64) (*.f64 x #s(literal 1/3 binary64)))))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/91125 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2025 binary64)))) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/135 binary64))) (*.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 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2025 binary64)))) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/135 binary64)))) (*.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 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/45 binary64))))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/45 binary64)))) (*.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2025 binary64)))) #s(literal -1/9 binary64))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/45 binary64)))) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2025 binary64)))) #s(literal -1/9 binary64))))))
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) 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) (*.f64 (/.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) x)))
(/.f64 (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/45 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/91125 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))) (fma.f64 (*.f64 x #s(literal 1/3 binary64)) (-.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/45 binary64))))) (*.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/91125 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (-.f64 (*.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/45 binary64) (*.f64 x #s(literal 1/3 binary64)))))))
(/.f64 (*.f64 (*.f64 x (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)))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))
(/.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2025 binary64)))) #s(literal -1/9 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))
(/.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 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2025 binary64)))) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/135 binary64))))
(/.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 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2025 binary64)))) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/135 binary64)))))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2025 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/893025 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal 2/42525 binary64))))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 8/843908625 binary64) #s(literal 1/91125 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/45 binary64) (*.f64 (*.f64 x x) #s(literal 2/945 binary64))) (-.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/893025 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 8/843908625 binary64) #s(literal 1/91125 binary64)) (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/893025 binary64) #s(literal 1/2025 binary64)) (*.f64 (*.f64 x x) #s(literal 2/42525 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 8/843908625 binary64) #s(literal 1/91125 binary64)) (+.f64 #s(literal 1/2025 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/893025 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal 2/42525 binary64))))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/893025 binary64) #s(literal -1/2025 binary64)) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal -1/45 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 8/843908625 binary64) #s(literal 1/91125 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/893025 binary64) #s(literal 1/2025 binary64)) (*.f64 (*.f64 x x) #s(literal 2/42525 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 8/843908625 binary64) #s(literal 1/91125 binary64))) (neg.f64 (+.f64 #s(literal 1/2025 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/893025 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal 2/42525 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/893025 binary64) #s(literal -1/2025 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal -1/45 binary64))))
(/.f64 (-.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/893025 binary64))) (-.f64 #s(literal 1/45 binary64) (*.f64 (*.f64 x x) #s(literal 2/945 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/893025 binary64)) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal -1/45 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal -1/45 binary64)) #s(literal 1/2025 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal -1/45 binary64)) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal -1/45 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 64/712181767349390625 binary64) #s(literal -1/8303765625 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8/843908625 binary64)) #s(literal -1/91125 binary64)) (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/893025 binary64) #s(literal 1/2025 binary64)) (*.f64 (*.f64 x x) #s(literal 2/42525 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 64/712181767349390625 binary64) #s(literal -1/8303765625 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/893025 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/893025 binary64)) (+.f64 #s(literal 1/4100625 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/893025 binary64)) #s(literal 1/2025 binary64)))) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal -1/45 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/893025 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/893025 binary64)) #s(literal -1/4100625 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/893025 binary64) #s(literal 1/2025 binary64)) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal -1/45 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 8/843908625 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 64/712181767349390625 binary64)) #s(literal 1/756680642578125 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 64/712181767349390625 binary64) (-.f64 #s(literal 1/8303765625 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 8/76901173453125 binary64)))) (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/893025 binary64) #s(literal 1/2025 binary64)) (*.f64 (*.f64 x x) #s(literal 2/42525 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 8/843908625 binary64) #s(literal 1/91125 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/893025 binary64) #s(literal 1/2025 binary64)) (*.f64 (*.f64 x x) #s(literal 2/42525 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/893025 binary64) #s(literal -1/2025 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal -1/45 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/893025 binary64)))) (neg.f64 (-.f64 #s(literal 1/45 binary64) (*.f64 (*.f64 x x) #s(literal 2/945 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/893025 binary64)) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal -1/45 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2025 binary64) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal -1/45 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/893025 binary64)) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal -1/45 binary64))) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/893025 binary64)) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal -1/45 binary64))) (fma.f64 (/.f64 #s(literal 1/2025 binary64) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal -1/45 binary64))) (/.f64 #s(literal 1/2025 binary64) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal -1/45 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/893025 binary64)) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal -1/45 binary64))) (/.f64 #s(literal 1/2025 binary64) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal -1/45 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))
(*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 8/843908625 binary64) #s(literal 1/91125 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/893025 binary64) #s(literal 1/2025 binary64)) (*.f64 (*.f64 x x) #s(literal 2/42525 binary64)))))
(*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 8/843908625 binary64) #s(literal 1/91125 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2025 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/893025 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal 2/42525 binary64)))))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/893025 binary64) #s(literal -1/2025 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal -1/45 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 8/843908625 binary64) #s(literal 1/91125 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/893025 binary64) #s(literal 1/2025 binary64)) (*.f64 (*.f64 x x) #s(literal 2/42525 binary64))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/893025 binary64) #s(literal -1/2025 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal -1/45 binary64)))))
(*.f64 (-.f64 #s(literal 1/2025 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4/893025 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/45 binary64) (*.f64 (*.f64 x x) #s(literal 2/945 binary64)))))
(/.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 x #s(literal 1/45 binary64))
(*.f64 #s(literal 1/45 binary64) x)
(/.f64 (*.f64 x #s(literal 1/2025 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 x (*.f64 x #s(literal 1/2025 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/2025 binary64))
(*.f64 #s(literal 1/2025 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1/2025 binary64)) x)

simplify284.0ms (1.9%)

Memory
-0.7MiB live, 400.6MiB allocated
Algorithm
egg-herbie
Rules
6 704×lower-fma.f64
6 704×lower-fma.f32
3 588×lower-*.f64
3 588×lower-*.f32
1 534×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0961088
12521088
26241088
314721088
433781088
564881088
082641004
Stop Event
iter limit
node limit
Counts
168 → 168
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)))))
(* -1/9 x)
(* x (- (* 1/2025 (pow x 4)) 1/9))
(* x (- (* 1/2025 (pow x 4)) 1/9))
(* x (- (* 1/2025 (pow x 4)) 1/9))
(* 1/2025 (pow x 5))
(* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* 1/2025 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))
(* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))
(* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))
-1/9
(- (* 1/2025 (pow x 4)) 1/9)
(- (* 1/2025 (pow x 4)) 1/9)
(- (* 1/2025 (pow x 4)) 1/9)
(* 1/2025 (pow x 4))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* 1/2025 (pow x 4))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(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)
(* 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)))))
(* 1/3 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)
(* 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 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* 2/945 (pow x 5))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* 2/945 (pow x 5))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))
1/45
(+ 1/45 (* 2/945 (pow x 2)))
(+ 1/45 (* 2/945 (pow x 2)))
(+ 1/45 (* 2/945 (pow x 2)))
(* 2/945 (pow x 2))
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* 2/945 (pow x 2))
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/945 (* 1/45 (/ 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)
(* 1/2025 (pow x 2))
(* 1/2025 (pow x 2))
(* 1/2025 (pow x 2))
(* 1/2025 (pow x 2))
(* 1/2025 (pow x 2))
(* 1/2025 (pow x 2))
(* 1/2025 (pow x 2))
(* 1/2025 (pow x 2))
(* 1/2025 (pow x 2))
(* 1/2025 (pow x 2))
(* 1/2025 (pow x 2))
(* 1/2025 (pow x 2))
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 (* 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 (* 1/45 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #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 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #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 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* -1/9 x)
(*.f64 x #s(literal -1/9 binary64))
(* x (- (* 1/2025 (pow x 4)) 1/9))
(*.f64 x (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64)))
(* x (- (* 1/2025 (pow x 4)) 1/9))
(*.f64 x (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64)))
(* x (- (* 1/2025 (pow x 4)) 1/9))
(*.f64 x (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64)))
(* 1/2025 (pow x 5))
(*.f64 x (*.f64 #s(literal 1/2025 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(*.f64 x (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64)))
(* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(*.f64 x (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64)))
(* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(*.f64 x (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64)))
(* 1/2025 (pow x 5))
(*.f64 x (*.f64 #s(literal 1/2025 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))
(*.f64 x (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64)))
(* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))
(*.f64 x (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64)))
(* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))
(*.f64 x (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64)))
-1/9
#s(literal -1/9 binary64)
(- (* 1/2025 (pow x 4)) 1/9)
(fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64))
(- (* 1/2025 (pow x 4)) 1/9)
(fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64))
(- (* 1/2025 (pow x 4)) 1/9)
(fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64))
(* 1/2025 (pow x 4))
(*.f64 #s(literal 1/2025 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64))
(* 1/2025 (pow x 4))
(*.f64 #s(literal 1/2025 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64))
(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)
(* 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 (* 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 (* 1/45 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #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 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #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 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #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 x (*.f64 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 x (*.f64 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 #s(literal 45 binary64) (+.f64 (/.f64 #s(literal 10125 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -675 binary64) (*.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 #s(literal 45 binary64) (+.f64 (/.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 #s(literal 45 binary64) (+.f64 (/.f64 #s(literal 10125 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -675 binary64) (*.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 #s(literal 45 binary64) (+.f64 (/.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 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(+ 1/3 (* 1/45 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(+ 1/3 (* 1/45 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #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 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #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 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(* 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 (* 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 (* 1/45 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #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 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #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 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #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))
(* 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 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 (*.f64 x x) #s(literal 2/945 binary64) #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 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* 2/945 (pow x 5))
(*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 2/945 binary64)))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))))
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* 2/945 (pow x 5))
(*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 2/945 binary64)))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
1/45
#s(literal 1/45 binary64)
(+ 1/45 (* 2/945 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))
(+ 1/45 (* 2/945 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))
(+ 1/45 (* 2/945 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))
(* 2/945 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/945 binary64))
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))
(* 2/945 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/945 binary64))
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #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))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/2025 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2025 binary64))
(* 1/2025 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2025 binary64))
(* 1/2025 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2025 binary64))
(* 1/2025 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2025 binary64))
(* 1/2025 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2025 binary64))
(* 1/2025 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2025 binary64))
(* 1/2025 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2025 binary64))
(* 1/2025 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2025 binary64))
(* 1/2025 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2025 binary64))
(* 1/2025 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2025 binary64))
(* 1/2025 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2025 binary64))
(* 1/2025 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2025 binary64))

eval234.0ms (1.6%)

Memory
38.1MiB live, 569.2MiB allocated
Compiler

Compiled 64 082 to 3 003 computations (95.3% saved)

prune119.0ms (0.8%)

Memory
-38.9MiB live, 293.2MiB allocated
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1 77921 781
Fresh000
Picked224
Done123
Total1 78261 788
Accuracy
100.0%
Counts
1 788 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/3 binary64) x))
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 (fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64)))
99.5%
(/.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)))
99.0%
(*.f64 #s(literal 1/3 binary64) x)
Compiler

Compiled 53 to 34 computations (35.8% saved)

simplify4.0ms (0%)

Memory
11.4MiB live, 11.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x #s(literal -1/5 binary64))
cost-diff0
(fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64))
cost-diff0
(/.f64 x (fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64)))
cost-diff0
(/.f64 x #s(literal 3 binary64))
Rules
14×lower-*.f32
12×lower-*.f64
lower-fma.f32
lower-fma.f64
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0725
01225
11725
21825
01825
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(/.f64 x (fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64)))
x
(fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64))
(*.f64 x #s(literal -1/5 binary64))
#s(literal -1/5 binary64)
#s(literal 3 binary64)
Outputs
(/.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(/.f64 x (fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64)))
x
(fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64))
(*.f64 x #s(literal -1/5 binary64))
#s(literal -1/5 binary64)
#s(literal 3 binary64)

localize29.0ms (0.2%)

Memory
11.3MiB live, 50.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64))
accuracy100.0%
(/.f64 x (fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64)))
accuracy99.4%
(*.f64 x #s(literal -1/5 binary64))
accuracy100.0%
(/.f64 x #s(literal 3 binary64))
Samples
19.0ms256×0valid
Compiler

Compiled 29 to 10 computations (65.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-div: 4.0ms (34.1% of total)
ival-mult: 3.0ms (25.6% of total)
const: 3.0ms (25.6% of total)
ival-add: 1.0ms (8.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0%)

Memory
2.8MiB live, 2.8MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#<alt (/.f64 x #s(literal 3 binary64))>
#<alt (/.f64 x (fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64)))>
#<alt (fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64))>
#<alt (*.f64 x #s(literal -1/5 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 (* (pow x 2) (+ 1/45 (* 1/675 (pow x 2))))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 1/675 (* 1/10125 (pow x 2))))))))>
#<alt (/ -5 x)>
#<alt (* -1 (/ (+ 5 (* 75 (/ 1 (pow x 2)))) x))>
#<alt (/ (- (* -1 (/ (+ 75 (* 1125 (/ 1 (pow x 2)))) (pow x 2))) 5) x)>
#<alt (/ (- (* -1 (/ (+ 1125 (* 16875 (/ 1 (pow x 2)))) (pow x 4))) (+ 5 (* 75 (/ 1 (pow x 2))))) x)>
#<alt (/ -5 x)>
#<alt (* -1 (/ (+ 5 (* 75 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 5 (+ (* 75 (/ 1 (pow x 2))) (/ 1125 (pow x 4)))) x))>
#<alt (* -1 (/ (+ 5 (+ (* 75 (/ 1 (pow x 2))) (+ (* 16875 (/ 1 (pow x 6))) (/ 1125 (pow x 4))))) x))>
#<alt 3>
#<alt (+ 3 (* -1/5 (pow x 2)))>
#<alt (+ 3 (* -1/5 (pow x 2)))>
#<alt (+ 3 (* -1/5 (pow x 2)))>
#<alt (* -1/5 (pow x 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))>
#<alt (* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))>
#<alt (* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))>
#<alt (* -1/5 (pow x 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))>
#<alt (* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))>
#<alt (* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))>
#<alt (* -1/5 x)>
#<alt (* -1/5 x)>
#<alt (* -1/5 x)>
#<alt (* -1/5 x)>
#<alt (* -1/5 x)>
#<alt (* -1/5 x)>
#<alt (* -1/5 x)>
#<alt (* -1/5 x)>
#<alt (* -1/5 x)>
#<alt (* -1/5 x)>
#<alt (* -1/5 x)>
#<alt (* -1/5 x)>
Calls

12 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(/ x (+ (* x (* x -1/5)) 3))
0.0ms
x
@-inf
(* x -1/5)
0.0ms
x
@inf
(* x -1/5)
0.0ms
x
@0
(* x -1/5)
0.0ms
x
@0
(/ x (+ (* x (* x -1/5)) 3))

rewrite566.0ms (3.8%)

Memory
-9.5MiB live, 433.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 622×lower-fma.f32
6 620×lower-fma.f64
4 584×lower-/.f32
4 580×lower-/.f64
3 694×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0720
01220
14720
225220
3207820
0831920
Stop Event
iter limit
node limit
iter limit
Counts
4 → 329
Calls
Call 1
Inputs
(/.f64 x #s(literal 3 binary64))
(/.f64 x (fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64))
(*.f64 x #s(literal -1/5 binary64))
Outputs
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 1/3 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/3 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(neg.f64 (*.f64 x #s(literal -1/3 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))))
(/.f64 x #s(literal 3 binary64))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 x) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) x))
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))
(/.f64 #s(literal -1/3 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -3 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x))) #s(literal 3 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x #s(literal -1/3 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/3 binary64))))))
(pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 3 binary64) x)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 1/3 binary64))))) #s(literal -1 binary64))
(*.f64 x #s(literal 1/3 binary64))
(*.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64))
(*.f64 (neg.f64 x) #s(literal -1/3 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/3 binary64)))
(*.f64 #s(literal -1/3 binary64) (neg.f64 x))
(*.f64 #s(literal -1/3 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1/3 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal -1/3 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64)) x)) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/125 binary64)) #s(literal 27 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25 binary64)))) (*.f64 (/.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/125 binary64)) #s(literal 27 binary64))) (fma.f64 (*.f64 x x) #s(literal 3/5 binary64) #s(literal 9 binary64))))
(+.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/125 binary64)) #s(literal 27 binary64))) (fma.f64 (*.f64 x x) #s(literal 3/5 binary64) #s(literal 9 binary64))) (*.f64 (/.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/125 binary64)) #s(literal 27 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25 binary64)))))
(+.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25 binary64)) #s(literal -9 binary64))) (*.f64 x (*.f64 x #s(literal -1/5 binary64)))) (*.f64 (/.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25 binary64)) #s(literal -9 binary64))) #s(literal -3 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25 binary64))) (/.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/125 binary64)) #s(literal 27 binary64)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/5 binary64) #s(literal 9 binary64)) (/.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/125 binary64)) #s(literal 27 binary64)))))
(+.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/5 binary64) #s(literal 9 binary64)) (/.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/125 binary64)) #s(literal 27 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25 binary64))) (/.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/125 binary64)) #s(literal 27 binary64)))))
(+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/5 binary64))) (/.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25 binary64)) #s(literal -9 binary64)))) (*.f64 #s(literal -3 binary64) (/.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25 binary64)) #s(literal -9 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal -3 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal -3 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64))) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal -3 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -1/5 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25 binary64)) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 3 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25 binary64)) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25 binary64)) #s(literal 9 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/125 binary64)) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -3/5 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/125 binary64)) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal -3 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (*.f64 x #s(literal -1/5 binary64))) (/.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25 binary64)) #s(literal -9 binary64))) (*.f64 #s(literal -3 binary64) (/.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25 binary64)) #s(literal -9 binary64)))))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25 binary64))) (/.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/125 binary64)) #s(literal 27 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/5 binary64) #s(literal 9 binary64)) (/.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/125 binary64)) #s(literal 27 binary64)))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 3/5 binary64) #s(literal 9 binary64)) (/.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/125 binary64)) #s(literal 27 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25 binary64))) (/.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/125 binary64)) #s(literal 27 binary64)))))
(fma.f64 (/.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/125 binary64)) #s(literal 27 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25 binary64))) (*.f64 (/.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/125 binary64)) #s(literal 27 binary64))) (fma.f64 (*.f64 x x) #s(literal 3/5 binary64) #s(literal 9 binary64))))
(fma.f64 (/.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/125 binary64)) #s(literal 27 binary64))) (fma.f64 (*.f64 x x) #s(literal 3/5 binary64) #s(literal 9 binary64)) (*.f64 (/.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/125 binary64)) #s(literal 27 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25 binary64)))))
(fma.f64 (/.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25 binary64)) #s(literal -9 binary64))) (*.f64 x (*.f64 x #s(literal -1/5 binary64))) (*.f64 (/.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25 binary64)) #s(literal -9 binary64))) #s(literal -3 binary64)))
(neg.f64 (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal -3 binary64))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal -3 binary64)))))
(/.f64 x (fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64)))
(/.f64 (/.f64 x (fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64))
(/.f64 (neg.f64 x) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal -3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/25 binary64)) #s(literal -3/5 binary64)) #s(literal 9 binary64))) (/.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/125 binary64)) #s(literal 27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal -3 binary64))) (/.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25 binary64)) #s(literal -9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/125 binary64)) #s(literal 27 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 3/5 binary64) #s(literal 9 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 3/5 binary64) #s(literal 9 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25 binary64)))) (*.f64 #s(literal 1/625 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/15625 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/5 binary64) #s(literal 9 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/5 binary64) #s(literal 9 binary64)) (fma.f64 (*.f64 x x) #s(literal 3/5 binary64) #s(literal 9 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/125 binary64)) #s(literal 27 binary64)) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25 binary64)) #s(literal -9 binary64)) (*.f64 (*.f64 x x) #s(literal 3/5 binary64)))) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/25 binary64)) #s(literal -3/5 binary64)) #s(literal 9 binary64)) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25 binary64)) #s(literal -9 binary64)) (*.f64 (*.f64 x x) #s(literal 3/5 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25 binary64)) #s(literal -9 binary64)) (fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64))) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25 binary64)) #s(literal -9 binary64)))))
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(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25 binary64)) #s(literal -9 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25 binary64)) #s(literal -9 binary64))) (fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/125 binary64)) #s(literal 27 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/15625 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/5 binary64) #s(literal 9 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/5 binary64) #s(literal 9 binary64)) (fma.f64 (*.f64 x x) #s(literal 3/5 binary64) #s(literal 9 binary64)))))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 3/5 binary64) #s(literal 9 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 3/5 binary64) #s(literal 9 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25 binary64)))) (*.f64 #s(literal 1/625 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/125 binary64)) #s(literal 27 binary64)) (*.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/25 binary64)) #s(literal -3/5 binary64)) #s(literal 9 binary64)) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25 binary64)) #s(literal -9 binary64)) (*.f64 (*.f64 x x) #s(literal 3/5 binary64))))) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25 binary64)) #s(literal -9 binary64)) (*.f64 (*.f64 x x) #s(literal 3/5 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25 binary64)) #s(literal -9 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/125 binary64)) #s(literal -27 binary64))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/25 binary64))) (fma.f64 x (*.f64 x #s(literal -3/5 binary64)) #s(literal 9 binary64))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/125 binary64)) #s(literal 27 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/25 binary64)) #s(literal -3/5 binary64)) #s(literal 9 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25 binary64)) #s(literal -9 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 3 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal -3 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/15625 binary64))) #s(literal -729 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/625 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 9/25 binary64) #s(literal 81 binary64)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal -3 binary64)) (fma.f64 #s(literal 1/625 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -81 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25 binary64)) #s(literal 9 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/25 binary64)) #s(literal -3/5 binary64)) #s(literal 9 binary64)) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1/1953125 binary64)) #s(literal 19683 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/15625 binary64))) #s(literal 729 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -27/125 binary64))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/25 binary64)) #s(literal -3/5 binary64)) #s(literal 9 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/15625 binary64))) #s(literal -729 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/125 binary64)) #s(literal -27 binary64))))
(*.f64 x #s(literal -1/5 binary64))
(*.f64 #s(literal -1/5 binary64) x)

simplify529.0ms (3.5%)

Memory
-4.1MiB live, 306.9MiB allocated
Algorithm
egg-herbie
Rules
10 898×lower-fma.f64
10 898×lower-fma.f32
2 394×lower-*.f64
2 394×lower-*.f32
1 884×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073296
1185296
2466290
31113290
42063290
53766290
67431290
08008275
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 (* (pow x 2) (+ 1/45 (* 1/675 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 1/675 (* 1/10125 (pow x 2))))))))
(/ -5 x)
(* -1 (/ (+ 5 (* 75 (/ 1 (pow x 2)))) x))
(/ (- (* -1 (/ (+ 75 (* 1125 (/ 1 (pow x 2)))) (pow x 2))) 5) x)
(/ (- (* -1 (/ (+ 1125 (* 16875 (/ 1 (pow x 2)))) (pow x 4))) (+ 5 (* 75 (/ 1 (pow x 2))))) x)
(/ -5 x)
(* -1 (/ (+ 5 (* 75 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 5 (+ (* 75 (/ 1 (pow x 2))) (/ 1125 (pow x 4)))) x))
(* -1 (/ (+ 5 (+ (* 75 (/ 1 (pow x 2))) (+ (* 16875 (/ 1 (pow x 6))) (/ 1125 (pow x 4))))) x))
3
(+ 3 (* -1/5 (pow x 2)))
(+ 3 (* -1/5 (pow x 2)))
(+ 3 (* -1/5 (pow x 2)))
(* -1/5 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))
(* -1/5 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))
(* -1/5 x)
(* -1/5 x)
(* -1/5 x)
(* -1/5 x)
(* -1/5 x)
(* -1/5 x)
(* -1/5 x)
(* -1/5 x)
(* -1/5 x)
(* -1/5 x)
(* -1/5 x)
(* -1/5 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 (* (pow x 2) (+ 1/45 (* 1/675 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/675 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 1/675 (* 1/10125 (pow x 2))))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/10125 binary64) #s(literal 1/675 binary64))) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(/ -5 x)
(/.f64 #s(literal -5 binary64) x)
(* -1 (/ (+ 5 (* 75 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -5 binary64) (/.f64 #s(literal -75 binary64) (*.f64 x x))) x)
(/ (- (* -1 (/ (+ 75 (* 1125 (/ 1 (pow x 2)))) (pow x 2))) 5) x)
(/.f64 (+.f64 #s(literal -5 binary64) (/.f64 (+.f64 #s(literal -75 binary64) (/.f64 #s(literal -1125 binary64) (*.f64 x x))) (*.f64 x x))) x)
(/ (- (* -1 (/ (+ 1125 (* 16875 (/ 1 (pow x 2)))) (pow x 4))) (+ 5 (* 75 (/ 1 (pow x 2))))) x)
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -75 binary64) (/.f64 (+.f64 #s(literal -1125 binary64) (/.f64 #s(literal -16875 binary64) (*.f64 x x))) (*.f64 x x))) #s(literal -5 binary64)) x)
(/ -5 x)
(/.f64 #s(literal -5 binary64) x)
(* -1 (/ (+ 5 (* 75 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -5 binary64) (/.f64 #s(literal -75 binary64) (*.f64 x x))) x)
(* -1 (/ (+ 5 (+ (* 75 (/ 1 (pow x 2))) (/ 1125 (pow x 4)))) x))
(/.f64 (+.f64 #s(literal -5 binary64) (/.f64 (+.f64 #s(literal -75 binary64) (/.f64 #s(literal -1125 binary64) (*.f64 x x))) (*.f64 x x))) x)
(* -1 (/ (+ 5 (+ (* 75 (/ 1 (pow x 2))) (+ (* 16875 (/ 1 (pow x 6))) (/ 1125 (pow x 4))))) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -75 binary64) (/.f64 (+.f64 #s(literal -1125 binary64) (/.f64 #s(literal -16875 binary64) (*.f64 x x))) (*.f64 x x))) #s(literal -5 binary64)) x)
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 (* -1/5 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64))
(+ 3 (* -1/5 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64))
(* -1/5 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/5 binary64)))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))
(fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))
(fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))
(fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64))
(* -1/5 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/5 binary64)))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))
(fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))
(fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))
(fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64))
(* -1/5 x)
(*.f64 x #s(literal -1/5 binary64))
(* -1/5 x)
(*.f64 x #s(literal -1/5 binary64))
(* -1/5 x)
(*.f64 x #s(literal -1/5 binary64))
(* -1/5 x)
(*.f64 x #s(literal -1/5 binary64))
(* -1/5 x)
(*.f64 x #s(literal -1/5 binary64))
(* -1/5 x)
(*.f64 x #s(literal -1/5 binary64))
(* -1/5 x)
(*.f64 x #s(literal -1/5 binary64))
(* -1/5 x)
(*.f64 x #s(literal -1/5 binary64))
(* -1/5 x)
(*.f64 x #s(literal -1/5 binary64))
(* -1/5 x)
(*.f64 x #s(literal -1/5 binary64))
(* -1/5 x)
(*.f64 x #s(literal -1/5 binary64))
(* -1/5 x)
(*.f64 x #s(literal -1/5 binary64))

eval109.0ms (0.7%)

Memory
0.5MiB live, 77.7MiB allocated
Compiler

Compiled 13 132 to 1 098 computations (91.6% saved)

prune62.0ms (0.4%)

Memory
2.3MiB live, 77.7MiB allocated
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New3770377
Fresh000
Picked022
Done044
Total3776383
Accuracy
100.0%
Counts
383 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/3 binary64) x))
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 (fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64)))
99.5%
(/.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)))
99.0%
(*.f64 #s(literal 1/3 binary64) x)
Compiler

Compiled 153 to 74 computations (51.6% saved)

regimes7.0ms (0%)

Memory
12.9MiB live, 12.9MiB allocated
Counts
10 → 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 (fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64)))
(*.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)))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/3 binary64) x))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))))
(*.f64 (*.f64 x (fma.f64 (*.f64 x 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 #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 (fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64)))
Calls

2 calls:

3.0ms
x
3.0ms
(-.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
7.9MiB live, 7.9MiB 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 (fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 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
99.5%1x
99.5%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)

regimes3.0ms (0%)

Memory
6.2MiB live, 6.2MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) x)
(/.f64 x #s(literal 3 binary64))
Outputs
(/.f64 x #s(literal 3 binary64))
Calls

2 calls:

2.0ms
x
1.0ms
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
Results
AccuracySegmentsBranch
99.5%1x
99.5%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)

regimes17.0ms (0.1%)

Memory
-33.3MiB live, 5.9MiB 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:

15.0ms
x
1.0ms
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
Results
AccuracySegmentsBranch
99.0%1x
99.0%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)

simplify6.0ms (0%)

Memory
12.5MiB live, 12.5MiB allocated
Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01322
11722
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 x (fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64)))
(*.f64 x (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 (fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64)))
(*.f64 x (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))

soundness675.0ms (4.5%)

Memory
23.5MiB live, 423.6MiB allocated
Rules
18 970×lower-fma.f64
18 970×lower-fma.f32
8 508×lower-fma.f32
8 502×lower-fma.f64
6 704×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01356
02556
19756
265356
3632956
0815856
0961088
12521088
26241088
314721088
433781088
564881088
082641004
067324
1179324
2458318
31321318
42085318
53083318
63670318
73941318
85080318
97268318
08431300
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 89 to 59 computations (33.7% saved)

preprocess48.0ms (0.3%)

Memory
-2.7MiB live, 114.2MiB allocated
Remove

(negabs x)

Compiler

Compiled 150 to 96 computations (36% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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